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Algebra Q&A Archive of March 29, 2025

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March 29 of 2025

Use the following sequence to answer questions 28-29: $ \{4,-12,36,-108, \ldots\} $ 28. Which rule represents the pattern shown in the sequence? 29. Use the rule to find $ a_{7} $.

Refer to the information below to answer Questions 6 and 7. A man invests K8 000 for 5 years at 10\%p.a. compound interest. 6. Calculate the investment value at the end of 5 years.

In 6-9, find the volume of a right circular cylinder that has the given dimensions: a. in terms of $ \pi $ b. using $ \pi=\frac{22}{7} $ 6. $ r=21 \mathrm{in}, h=10 \mathrm{in} $. 7. $ r=28 \mathrm{ft}, h=\frac{9}{4} \mathrm{ft} $. 8. $ r=10 \mathrm{~cm}, h=4.2 \mathrm{~cm} $ 9. \(…

1. Find the area of a circle, expressed in terms of $ \pi $, when its radius is: a. 4 b. 9 c. 8 d. .3 e. $ \frac{1}{3} $ f. $ 1 \frac{1}{2} \frac{3}{2} $ 2. Find the area of a circle, expressed in terms of $ \pi $, when its diameter is: a. 12 b. 2 c. 2.4 d. . 4 e. $ \frac{2}{5} $ f.…

GR 12 GENERAL MATHEMATICS M2 The price of a.TV set was K1 800. The retailer agreed to sell it on the following terms: one third down and the balance together with interest of $ 8 \% $ is paid in 18 monthly instalments. Calculate the amount of instalment. (1 mark) Answer: $ \qquad $

19. Write a rule to represent the height of the ball after each bounce.

Remaining Amount $ =646-500 $ $ =1<146.00 $ Answer: $ K 146-0 $ Calculate the simple interest on K3 550 at a flat rate of $ 11 \% $ p.a. over 3 years. (1 mark) Answer:

Devig Student Po Sasre Ras. is |c Ritek:_ - omenc Quiz sizek L: He a.instructure.com courses/120608/quizzes/467440/take Question 13 2 pts Hospital waiting room times are normally distributed with a mean of 38.12 minutes and a standard deviation of 8.63 minutes. What is the shortest wait time…

Do Homework - Section nylab. pearson.com jaylin joseph 03/29/25 7:23 Question 5, 3.5.9 Part 1 of 3 HW Score: 13.04\%, 3 of 23 points Points: 0 of 1 What are the domain and range of the relation? Is the relation a function? Women's Pant Sizes \begin{tabular}{|c|c|c|c|c|c|} \hline Country A &…

Do Horrievork - Section b.pearson.com jaylinjoseph os/29/25720 p1h Question 4, 3.5.7 Part 1 of 3 HWI Scores $ 8.7 \% .2 $ of 28 points ( Peints 0 of 1 Save What are the domain and range of the relation? is the relation a function? \[ F=\{(90,-13),(13,1),(-102,1),(6640)\} \] The domain of…

Do Homework - Section pearson.com jaylin joseph 03/29/25 7:20 PM Question 4, 3.5.7 Part 1 of 3 HW Score: $ 8.7 \%, 2 $ of 23 points Points: 0 of 1 What are the domain and range of the relation? Is the relation a function? \[ F=\{(90,-13),(13,1),(-102,1),(66,40)\} \] The domain of the…

Do Homaval jaylin joseph 03/29/25 7,99 PM Question 3, 3.5.5 Part 2 of 3 HW Score: 4.35\%, 1 of 23 points Points: 0 of 1 What are the domain and range of the relation? Is the relation a function? \[ D=\{(0,0),(2,12),(5,10),(2,0)\} \] The domain of the relation is $ \{0,2,5\} $. (Use commas…

Do Homework - Section lab.pearson.com jaylin joseph 03/29/257:18 Question 3, 3.5.5 Part 1 of 3 HW Score: 4.35\%, 1 of 23 points Points: 0 of 1 What are the domain and range of the relation? Is the relation a function? \[ D=\{(0,0),(2,12),(5,10),(2,0)\} \] The domain of the relation is \(…

Do Homework Section ylab.pearson.com jaylin joseph 03/29/25 7:17 PM Question 1, 3.5.1 HW Score: $ 0 \%, 0 $ of 23 points ○ Points: 0 of 1 Save Explain the difference between a relation and a function. Choose the correct answer below. A. A relation is any set of ordered pairs where the \( x…

\#2. \[ \begin{array}{l} -2 y=x^{2}+6 \\ 2 x+y=-1 \end{array} \]

5 The string of a kite is 24 feet long. The wind blows the kite upward at an angle of $ 17^{*} $ from its current position. What is the distance from the kite's original position to its new position after the wind blows it? B Fontramil

Evaluate the polynomial for $ a=-4 $ and $ b=3 $. \[ a^{2}+2 a b-b^{2} \]

4. A ball is tossed between three friends. The first toss is 8.6 feet, the second is 5.8 feet, and the third toss is 7.5 feet, which takes the ball back to the starting point. What angles are formed by these tosses? B Font Famly - $ A x $.

$ \frac{1}{5} b^{2}-\frac{1}{25} b $ for (a) $ \quad b=25 $ $ \square $ Enter an exact number

Evaluate the expression. $ \frac{1}{5} b^{2}-\frac{1}{25} b $ for (a) $ b=25 $ $ \square $ \[ 12 \] (b) $ b=-25 $

$ 5 t^{2}+2 t-8 $ for (a) $ t=-1 $

1. (JPE) Let \[ A=\left(\begin{array}{ccc} 4 & 4 & 1 \\ 3 & -2 & 7 \\ 0 & 3 & 1 \end{array}\right) \] Use Householder reflectors to find a QR factorization for the matrix $ A $, i.e., $ A=Q R $ where $ Q $ is an orthogonal matrix and $ R $ is an upper triangular matrix.

Refer to the information below to answer Questions 5 and 6 . Yearly premiums and limits for medical insurance that is organized in a workolace \begin{tabular}{|l|c|c|c|} \hline & \begin{tabular}{l} Up to 5 \\ Members \end{tabular} & \begin{tabular}{c} More than \\ 5 Members \end{tabular} &…

Evaluate the expression. \[ 5 t^{2}+2 t-8 \text { for } \] (a) $ t=-1 $ $ \square $ (b) $ t=0 $ $ \square $ Need Help? Read it SUBMIT ANSWER 13. [-/0.22 Points] DETAILS MY NOTES TGÊLEMALC Evaluate the expression. \[ \frac{1}{5} b^{2}-\frac{1}{25} b \text { for } \] (a) $ b=25 $ \(…

3. A plane flies due south for 600 miles. It turns and flies 250 miles $ 35^{\circ} $ east of south. How far is the plane from its origin? B $ i $ U Font Family - $ A A^{-} A_{0} $

\[ \begin{array}{c} 2 \mathrm{Hm}=\mathrm{Cm} \\ 2 \times 10.000=20.000 \\ 3 \mathrm{~km}=3.000 .000 \mathrm{mo} \end{array} \] a) $ 28 \mathrm{~m}=2,8 \mathrm{hm} $ b) $ 15 \mathrm{~mm}= $ den c) $ 50 \mathrm{~m}= $ km d) $ 280 \mathrm{dm}= $ Hm

mylab perison.com ion 2 N jaylin joseph 3.1 HW Score: 60 Part 1 of 3 10.86 of $ 18 p $ 0 Points: Simplify the equation if possible. State whether the equation represents a horizontal or a vertical line. Then graph the equation. \[ 5 x-10=0 \] \[ x= \] $ \square $ (Simplify your answer.)

GR 12 GENERAL MATHEMATICS M2 TOPICTEST 4 4. .. The premium charged by an insurancercompany is at the following rates: (1 mark) Buildings: 15\% per K100 per annum Contents: $ 25 \% $ per K100 per annum How much is the premium paid by a man who insures his house for K 33600 and the contents…

2. Two boats are approaching a dock. The angle between the two boats is measured as $ 118^{\circ} $. If the boats are 2 miles and 3 miles from the dock, how far are they from each other? B Font Family $ -A_{A}+A_{C} $ $ ल $

11) 10.perimgohicoln jaylin joseph 3.1 Question 14, 3.1.27 HW Bcore: 4898 Part 1 of 3 7.88 of 18 porits Pointes: of Simplify the equation if possible, State whether the equation represents a horizontal or a vertical line. Then graph the equation. \[ 3 y+6=0 \] \[ y= \] $ \square $ (Simplify…

Do Homework I Section ction 2 N jaylin joseph 03/29, n 3.1 Question 17, 3.1.33 HW Score: $ 43.65 \% $ 7.86 of 18 points Points: 0 of 1 Simplify the equation if possible. Then graph the equation by any appropriate method. \[ 3 x+y+9=5 x \] Use the graphing tool to graph the equation. Click…

Home Page - Tri LTI Launch Student Dashbo gnment Trac 79 8-9:25 TR SP25 pter 2 Skills Check Quiz (Integrated Question 5 of 5 Write an equivalent exponential equation. \[ \log _{8} 2=\frac{1}{3} \] The equivalent exponential equation is $ \square $ $ \square $. (Type an equation. Use…

7. [-/0.22 Points] DETAILS MY NOTES TGELEMALG5 5.4.046. Find the degree of the polynomial. \[ \frac{7}{8} t^{15}-\frac{1}{8} t^{17} \] $ \square $ Need Help? Read It SUBMIT ANSWER 8. [-/0.22 Points] DETAILS MY NOTES TGELEMALG5 5.4.018. Classify the polynomial as a monomial, a binomial, a…

Do Homework - Section 3 mylab.pearson.com 2025-Section 2 N jaylin joseph 03/29/ Section 3.1 Question 18, 3.1.43 Part 1 of 3 HW Score: 38.89\%, of 18 points Points: 0 of 1 If a baseball is thrown vertically upward by a person standing on the ground, the velocity of the baseball V (in feet per…

Complete the term-coefficient-degree table for the polynomial. \[ 9 a^{6} b^{7}-29 a b \] \begin{tabular}{|c|c|c|} \hline Term & Coefficient & \multicolumn{1}{c|}{ Degree } \\ \hline$ \square $ & $ \square $ & $ \square $ \\ \hline & $ \square $ & $ \square $ \\ \hline & $ \square $…

Complete the term-coefficient-degree table for the polynomial. \[ y^{4}-y^{3}+14 y^{2}+9 y \] \begin{tabular}{|c|c|c|} \hline Term & Coefficient & \multicolumn{1}{c|}{ Degree } \\ \hline$ \square $ & $ \square $ & $ \square $ \\ \hline & $ \square $ & $ \square $ \\ \hline\( \square…

PRACTISING 4. A parabola passes through the points $ (-4,10),(-3,0),(-2,-6) $, (1) $ (-1,-8),(0,-6),(1,0) $, and $ (2,10) $. a) Determine an equation for the parabola in factored form. (b) Express your equation in standard form.

Complete the term-coefficient-degree table for the polynomial. \[ 9 x^{2}+x-8 \] \begin{tabular}{|c|c|c|} \hline Term & Coefficient & Degree \\ \hline$ \square $ & $ \square $ & \begin{tabular}{l} (highest degree) \\ \hline \end{tabular} \\ $ \square $ & $ \square $ & $ \square $…

Fill in the blank. A polynomial with one term is called ---Select--- trinomial Need Help? Read It Watch it monomial constant binomial onenomial SUBMIT ANSWER [-/0.22 Points] DETAILS MY NOTES TGELEMALG5 5.4.006. Fill in the blank. The $ \square $ -Selectof the term $ 3 x^{6} $ is 6 because…

This is a new version of the question. Make sure you start new workings. The sizes of the shaded angles below form a sequence. Work out the size of the next shaded angle in the sequence.

The sizes of the shaded angles below form a sequence. Work out the size of the next shaded angle in the sequence. Not drawn accurately Watch video Answer

Write the following expression in simplified radical form. \[ \sqrt[5]{128 x^{5} w^{16}} \] Assume that all of the variables in the expression represent positive real numbers. $ \square $ $ \sqrt{\square} $ $ \sqrt[\square]{\square} $ $ \square $ $ \square $ $ \times $

ng.cengage.com/static/nb/ui/evo/index.html?deploymentid=5000196010681078799093148801\&elsBN GE MINDTAP g Statistics 1 This applet illustrates 95\% confidence intervals for samples from a normal distribution with known 1. When taking 100 samples of size 30 or greater from a population, exactly…

Sigr Neu ECO ECO $ 8.1 \quad $ it Mn Un: ng. cengage.com/static/nb/u//evo/index.html?deploymentid=50001960106810787990931488018elSBN=97803579844828id=22331140468snapshotid=42270748. NGAGE $ \mid $ MINDTAP loring Statistics 1 This applet illustrates $ 95 \% $ confidence intervals for…

Write the following expression in simplified radical form. \[ \sqrt[5]{128 t^{12} u^{5}} \] Assume that all of the variables in the expression represent positive real numbers. $ \square $ $ \sqrt{\square} $ $ \sqrt[\square]{\square} $ $ \square $ $ \square $ \( \bigcirc…

Simplify the expression. Do not use negative exponents in the answer. \[ -6 y^{3} y^{-4} \] $ \square $ Need Heln?

Simplify the expression. Assume there are no divisions by 0. \[ \frac{\left(5 y^{2} z^{4}\right)^{2}}{(y z)^{3}} \] Need Help? Read It SUBMIT ANSWER

Simplify, \[ 15 \sqrt{z^{17}}-7 z^{8} \sqrt{z} \] Assume that the variable represents a positive real number. $ \square $ $ \sqrt{\square} $ $ \square $ $ \square $ 5 Explanation Check

3. Limited Warranty 8. You manufacture car batteries and need to determine how long you will provide a warranty under which you will replace a battery for free if it fails before the warranty runs out. You know from testing that a battery's life span is normally distributed and has a mean of…

Simplify the expression. Assume there are no divisions by 0 . \[ \frac{\left(5 y^{2} z^{4}\right)^{2}}{(y z)^{3}} \] $ \square $ Need Help? Read It SUBMIT ANSWER 25. [-/0.12 Points] DETAILS MY NOTES TGELEMALG5 5.R.028. Simplify the expression. Do not use negative exponents in the…

Simplify. \[ \sqrt{8 y^{5}}+7 y \sqrt{32 y^{3}} \] Assume that the variable represents a positive real number. $ \square $ $ \sqrt{\square} $ $ \square $ $ \square $ Explanation Check

Graph the line that passes through the given point and has the given slope. \[ (-4,1), m=-3 \]

Find an equation of the line with the following characteristics. Write the equation in slope-intercept form. passing through $ (2,11) $ and $ (-4,2) $ $ \square $ Need Help? Read It SUBMIT ANSWER

Find the slope $ m $ and the $ y $-intercept of the line whose equation is $ -6 x-2 y=-4 $. slope \[ m= \] $ \square $ $ -3 $ $ y $-intercept $ \quad(x, y)=( $ $ \square $ Graph the line. Graph Layers Point 1 Point 2

6) Caklalaine the inferev using compound interest compounded andually-

Firet diaturnigt Benk is offering $ 4.25 \% $ interost on an account. Susan makes an Hitial diepucit of 520,000 . Calculare the initeresf eamed over 20 vears if the back.

18) $ \$ 21,000 $ at $ 13.6 \% $ compronded quarterly foce 4 yane

Graph the line with slope -4 and $ y $-intercept $ (x, y)=(0,-3) $.

17) 528.600 a 796 compoanded sentmolity for 2 years

2) You ivested $ \$ 160 $ for $ 31 / 2 $ years at an interest rate of $ 9 \% $ with was compoundes semi annul. . What is your total velue ater $ 31 / 2 $ years?

Graph the line with slope -4 and $ y $-intercept $ (x, y)=(0,-3) $.

Find the slope $ m $ and the $ y $-intercept of the line. \[ y=-\frac{7}{4} x-6 \] slope $ \quad m= $ $ y $-intercept $ \quad(x, y)=( $ $ \square $ )

1) You $ \$ 960 $ got an interest rate of $ 8.7 \% $ which was compounded mortilly for 3 yezs. What is your $ \$ 960 $ woth atter 3 years?

Find the slope $ m $ of the line. the line passing through the points $ (2,-3) $ and $ (5,-7) $ \[ m= \]

7th grade: foundations (MATATAG)* While waiting for a video game to download, you notice that $ 30 \% $ of 32,000 kilobytes have been downloaded so far. How many kilobytes have been downloaded so far? $ \square $ kilobytes (A) 30 of 30 Skip Check

(8) You deposit 51600 in a bank account Find the balance afee $ \xi^{3} $ ears ff the acount pays $ 4^{4}, 2 $ arous imberes yeally,

7th grade: foundations (MATATAG)* Convert. $ \square $ meters $ =23 $ kilometers Reference sheet (A) 29 of 30 Skip Check

(7) An adult takes 400 mg of iboprofen. Each hour, the arnount of huprefen in the pernor'ssysec: decreses by ahout $ 29 \% $ How much ibuprofm is left after 6 bours?

7th grade: foundations (MATATAG)* Write an expression for "double the quantity $ x $." $ \square $ (A) 28 of 30 Skip Check

(5) You have inherited land that was purchnsed for $ \$ 30,000 $ in 1960 . The value of we land increased by approximately $ 5 \% $ per ycar, What is the approxinute value of the land in the year 2011 ?

The Garcias have $ \$ 12,000 $ in a savings account. The bank pays $ 3,5 \% $ interest on pavings accounts, compounded tnonthly. Find the total balance after three yeurs

\[ \begin{array}{l} 1395 \times 0.15=209.25 \\ 1395+34.875+209.25=1639.125 \quad \text { Answer: } 1639.13 \end{array} \] Refer to the information below to answer Questions 9 and 10. \begin{tabular}{|l|c|} \hline Value of Property & Rate of Stamp Duty \\ \hline Up to K35 000 & $ 2 \% $…

7th grade: foundations (MATATAG)* Determine whether each equation is true or false. True False \[ 2^{4}=2 \times 4 \] \[ 2^{4}=4+4 \] \[ 2^{4}=2 \times 2 \times 2 \times 2 \] (A) 27 of 30 Skip Check

Find the $ x $ - and $ y $-intercepts of the graph of the equation. Do not graph the \[ 9 x-2 y=28 \] $ x $-intercept $ \quad(x, y)=( $ $ \square $ ) $ y $-intercept $ \quad(x, y)= $ $ \square $

7th grade: foundations (MATATAG)* True or false. 0 is not a negative integer. Choose 1 answer: (A) True (B) False (A) 25 of 30 Skip Check

7th grade: foundations (MATATAG)* Which of the following measurements is greater? Choose 1 answer: (A) 0.5 liters (B) 400 milliliters Reference sheet (A) 24 of 30 Skip Check

7th grade: foundations (MATATAG)* Michelle used a $ \$ 20 $ bill to pay for a notebook that only costs $ p $ dollars. How much change did Michelle receive from the cashier? Write your answer as an expression. $ \$ $ $ \square $ (A) 23 of 30 Skip Check

expressions (whichever is easier). 9. Show that $ \neg(p \leftrightarrow q) $ and $ p \leftrightarrow \neg q $ are logically equivalent.

7th grade: foundations (MATATAG)* The hanger image below represents a balanced equation. Select an equation that represents the image. Choose 1 answer: (A) $ 2+k=18 $ (B) $ 2 k=18 $ Find the value of $ k $ that makes the equation true. (A) 22 of 30 Skip Check

7th grade: foundations (MATATAG)* Which value of $ w $ makes $ 14=11+\frac{w}{8} \cdot 6 $ a true statement? Choose 1 answer: (A) $ w=1 $ (B) $ w=4 $ (C) $ w=16 $ (D) $ w=24 $ (A) 21 of 30 Skip Check

7th grade: foundations (MATATAG)* The winter clothing drive has received donations of 5 coats, 23 pairs of gloves, 19 scarves, and 3 hats so far. Based on this data, what is a reasonable estimate of the probability that the next donation is not a pair of gloves? Choose 1 answer: (A) 0.23 (B)…

2) Gina deposited $ \$ 1500 $ in an account that paya $ 4 \% $ interest compounded quarterly. What will the balance be in 2 years?

7th grade: foundations (MATATAG)* Which point represents the opposite of 0 on the number line? Choose 1 answer: (A) $ A $ (B) $ B $ (C) $ C $ (D) $ D $ (E) $ E $ (A) 18 of 30 Skip Check

1) A coin had a value of $ \$ 1.17 $ in 1995. Is value has been increasing at 966 per year. What is the value after 5 years?

A rectangular garden too the contructed ung rack wall as one side of the garden and wire fencing for the other three sides. Giser looft of corre fencing, de tormine the dimanyion, that pould create a garden moximon area. What is the moximum area.

7th grade: foundations (MATATAG)* How many edges does the following shape have? (A) 17 of 30 Skip Check

7th grade: foundations (MATATAG)* The tape diagram represents an equation. \begin{tabular}{|l|l|} \hline$ a $ & 17 \\ \hline \end{tabular} 35 Write an equation to represent the tape diagram. Choose 1 answer: (A) $ a-17=35 $ (B) $ a+17=35 $ Find the value of $ a $ that makes the…

42 AM $ { }^{19,3} $ る 29 7th grade: foundations (MATATAG)* Elmer has a collection of 300 fossils. Of these, $ 21 \% $ are fossilized snail shells. How many fossilized snail shells does Elmer have? $ \square $ fossilized snail shells

7th grade: foundations (MATATAG)* Evaluate. \[ -30 \div 5= \] $ \square $ (A) 13 of 30 Skip Check

Q 1.3: Consider the building in the figure below, which has a width into the page of 35 ft . Maximum inundation height, $ h_{\max } $, and flow velocity, $ u_{\max } $, have been determined as 33 ft and $ 24 \mathrm{ft} / \mathrm{sec} $, respectively. (a) Calculate the hydrodynamic and…

7th grade: foundations (MATATAG)* The hanger image below represents a balanced equation. Find the value of $ v $ that makes the equation true. \[ v=\square \] (A) 11 of 30 Skip Check

7th grade: foundations (MATATAG)* Complete the table to show equivalent measurements in liters and milliliters. Liters Milliliters 5 $ \square $ 14 $ \square $ 36 $ \square $ Reference sheet (B) 10 of 30 Skip Check

7th grade: foundations (MATATAG)* The following table shows the number of comments on each of Omar's 9 most recent social media posts. \begin{tabular}{|c|c|c|} \hline 0 & 2 & 8 \\ \hline 7 & 0 & 0 \\ \hline 0 & 6 & 4 \\ \hline \end{tabular} Based on this data, what is a reasonable estimate of…

Transformations of Functions For each function, write in words the transformations from the parent graphs, then graph. State the domain and range, and determine the intervals where the functions are increasing or decreasing. 1) $ f(x)=|x-3|+2 $ 2) $ f(x)=3(x-1)^{2}-6 $ 3) \( f(x)=\sqrt[3]{2…

7th grade: foundations (MATATAG)* Compare using $ >,< $, or $ = $. 7 kilograms $ \square $ 60,000 grams Reference sheet (A) 7 of 30 Skip Check

GR 12 GENERAL MATHEMATICS MZ Refer to the information below to answer Questions 4,5 and 6 . TOPICrest GR 12 GENET

7th grade: foundations (MATATAG)* You might need: 囲 Calculator Greg has an MP3 player called the Jumble. The Jumble randomly selects a song for the user to listen to. Greg's Jumble has 6 classical songs, 7 rock songs, and 9 rap songs on it. What is P (not a rap song)? If necessary, round…

Transformations of Functions For each Aunctor, wribe in worts the transformations from the parent graphs, then graph. State the Jomain and range, and determine the intervats where the functons are increasing or decreasing. 1) $ f(x)=|x-3|+2 $ 2) $ f(x)=3(x-1)^{2}-6 $ 3) \( f(x)=\sqrt[3]{2…

7th grade: foundations (MATATAG)* Identify the 3D shape shown below. Choose 1 answer: (A) Rectangular prism (B) Square pyramid (C) Triangular prism (A) 4 of 30 Skip Check

7th grade: foundations (MATATAG)* Convert. \[ \square=\begin{array}{l} \text { millimeters } \end{array}=\begin{array}{l} 15 \text { centimeters } 4 \\ \text { millimeters } \end{array} \] Reference sheet (A) 3 of 30 Skip Check

Convert. $ \square $ millimeters $ =31 $ meters Reference sheet $ \downarrow $ (A) 2 of 30 Skip Check

7th grade: foundations (MATATAG)* Convert. $ \square $ millimeters $ =31 $ meters Reference sheet (A) 2 of 30 Skip Check

n 2 N jaylin 3.1 Question 6, 3.1.11 Graph the equation. \[ y=4-3 x \] Use the graphing tool to graph the equation. Click to enlarge graph

4. The Gompertz equation is a model that is used to describe the growth of certain populations. Suppose that $ P(t) $ is the population of some organism and that \[ \frac{d P}{d t}=-P(\ln P-\ln 3) \] (a) Sketch a slope field for $ P(t) $ over the range $ 0 \leq P \leq 6 $.

7th grade (MATATAG - beta) The data below shows how old each of Brad's eight kids were when they started kindergarten. \begin{tabular}{|l|l|l|l|} \hline 4 & 4 & 5 & 4 \\ \hline 5 & 4 & 3 & 4 \\ \hline \end{tabular} Using this data, create a frequency table. Age (in years) Number of kids 3…

7th grade: foundations (MATATAG)* Chris sorted shapes in two groups. Group A Which of these rules did Chris use to sort the shapes? (A) 30 of 30 Skip Check

7th grade: foundations (MATATAG)* Evaluate. \[ 0 \div(-4)= \] $ \square $ (A) 29 of 30 Skip Check

7th grade: foundations (MATATAG)* Convert. \[ \frac{1}{2} \text { kilogram }=\square \text { grams } \] Reference sheet (A) 28 of 30 Skip Check

Tell whether a triangle with sides of the given lengths is acute, right, or obtuse. A 1. $ 11,11,15 $ 2. $ 9,9,13 $ 4. $ 6,6,6 \sqrt{2} $ 5. $ 8,14,17 $ 3. $ 8,8 \sqrt{3}, 16 $ 7. a. $ 0.5,1.2,1.3 $ 6. $ 0.6,0.8,1 $ 8. a. $ 33,44,55 $ b. $ 5 n, 12 n, 13 n $ where $ n>0 $ b.…

7th grade: foundations (MATATAG)* Convert. $ \square $ grams $ =\frac{5}{2} $ kilograms Reference sheet (A) 26 of 30 Skip Check

7th grade: foundations (MATATAG)* The tape diagram represents an equation. \begin{tabular}{|l|l|l|l|l|l|l|} \hline \multicolumn{7}{|c|}{63} \\ \hline$ m $ & $ m $ & $ m $ & $ m $ & $ m $ & $ m $ & $ m $ \\ \hline \end{tabular} Find the value of $ m $ that makes the equation…

7th grade: foundations (MATATAG)* Convert. \[ \frac{3}{2} \text { liter }=\square \text { milliliters } \] Reference sheet (A) 23 of 30 Skip Check

7th grade: foundations (MATATAG)* Write an expression for "the difference of $ p $ and 4 ." $ \square $ (A) 22 of 30 Skip Check

7th grade: foundations (MATATAG)* Match each expression to its expanded form. \begin{tabular}{c|c} Expression & Expanded form \\ \hline $ 2 \times 5 $ & $ 2+2 $ \\ $ 2 \times 2 $ & $ 5+5 $ \\ $ 2^{5} $ & \begin{tabular}{c} $ 5 \times 5 $ \\ $ 5^{2} $ \end{tabular}…

7th grade: foundations (MATATAG)* You might need: 囲 Calculator You roll a fair 6-sided die. What is $ \mathrm{P}( $ roll less than 4$ ) $ ? If necessary, round your answer to 2 decimal places. $ \square $ (A) 20 of 30 Skip Check

7th grade: foundations (MATATAG)* Convert. \[ \square_{\text {millimeters }}=\quad \begin{array}{l} 15 \text { centimeters } 4 \\ \text { millimeters } \end{array} \] Reference sheet (A) 19 of 30 Skip Check

7th grade: foundations (MATATAG)* Select all the equations where $ z=5 $ is a solution. Choose 3 answers: A $ 8=z+3 $ B $ z-1=6 $ c $ 20=40 \div z $ D $ 12 z=60 $ E $ \quad 12+z=17 $ (A) 17 of 30 Skip Check

7th grade: foundations (MATATAG)* The hanger image below represents a balanced equation. Select an equation that represents the image. Choose 1 answer: (A) $ 9=2-c $ (B) $ 9=2+c $ Find the value of $ c $ that makes the equation true. \[ c=\square \] (A) 16 of 30 Skip Check

7th grade: foundations (MATATAG)* How many vertices does the following shape have? $ \square $ (A) 15 of 30 Skip Check

QUESTION 7 Look at this sorting diagram. \begin{tabular}{|l|l|l|} \cline { 2 - 3 } \multicolumn{1}{c|}{} & Sides equal & Sides not equal \\ \hline \begin{tabular}{l} At least one \\ right angle \end{tabular} & & \\ \hline \begin{tabular}{l} No right \\ angles \end{tabular} & &…

7th grade: foundations (MATATAG)* How many integers are there between -4 and 4 . (Excluding these two.) $ \square $ (A) 14 of 30 Skip Check

7th grade: foundations (MATATAG)* (A) $ 16=\frac{y}{4} $ B $ 16=4 y $ Find the value of $ y $ that makes the equation true. \[ y=\square \] \begin{tabular}{|c|c|c|c} \hline 7 & 8 & 9 & $ \% $ \\ \hline 4 & 5 & 6 & $ \pi $ \\ \hline 1 & 2 & 3 & $ \frac{\square}{\square} $ \\ \hline…

5:02 AM 0,000 Bis 7th grade: foundations (MATATAG)* The tape diagram represents an equation. 16 \begin{tabular}{|l|l|l|l|} \hline$ y $ & $ y $ & $ y $ & $ y $ \\ \hline \end{tabular} Write an equation to represent the tape diagram. Choose 1 answer: (A) $ 16=\frac{y}{4} $ (B) \(…

7th grade: foundations (MATATAG)* Convert 93 kilograms to grams. $ \square $ grams Reference sheet (A) 12 of 30 Skip Check

Hork out the product of $ \frac{2}{3} $ and $ \frac{1}{6} $

7th grade: foundations (MATATAG)* In the United States, 13 out of every 20 cans are recycled. What percent of cans are recycled? $ \square $ \% (A) 11 of 30 Skip Check

Course: BIOL131-1N-Anatc Homework Do Homework - Section 5. mylab.pearson.com $ \equiv $ Homework: Section 5.8 Question 1, 5.8.3 HW Score: 0\%, 0 of Homework 15 points Points: 0 of 1 Save Question list Question 1 Question 2 Question 3 Question 4 Question 5 Question 6 Question 7 Question…

7th grade: foundations (MATATAG)* Last week Cam's Ice Cream Shop sold 52 chocolate chip ice cream cones out of a total of 997 ice cream cones. Based on this data, what is a reasonable estimate of the probability that the next ice cream cone sold is a chocolate chip ice cream cone? Choose the…

7th grade: foundations (MATATAG)* Number of points Based on this data, what is a reasonable estimate of the probability that Nate scores 8-11 points next basketball game? Choose the best answer. Choose 1 answer: (A) $ \frac{3}{25} $ (B) $ \frac{5}{25} $ (C) $ \frac{6}{25} $ (D) \(…

QUESTION 1 Tom has drawn a triangle. He reflects it in the mirror line. Mirror line He ends up with a quadrilateral. What type of quadrilateral is it? parallelogram kite trapezium rhombus rectangle tion 2

7th grade: foundations (MATATAG)* Evaluate. \[ 27 \div(-9)= \] $ \square $ (A) 7 of 30 Skip Check

Course: BIOL131-1N-Anatc Homework Do Homework - Section 3. mylab.pearson.com Math 140-Spring 2025-Section 2N jaylin joseph 03/29/25 4:46 PM = Homework: Section 3.3 Homework Question 16, 3.3.33 HW Score: 60.87\%, 14 of 23 points Question list Question 12 Question 13 Question 14 Question…

Course: BIOL131-1N-Anatc Homework Do Homework - Section 3. mylab.pearson.com Math 140-Spring 2025-Section 2N jaylin joseph 03/29/25 4:43 PM = Homework: Section 3.3 Homework Question 17, 3.3.35 HW Score: 60.87\%, 14 of 23 points Points: 0 of 1 Save Question list Question 12 Question 13 Question…

7th grade: foundations (MATATAG)* Move the dot to -3 on the number line. (A) 3 of 30 Skip Check

7th grade: foundations (MATATAG)* Identify the 3D shape shown below. Choose 1 answer: (A) Cone (B) Cylinder (C) Sphere (A) Do 30 problems Skip Check

a. Solve the equations i. $ \left(\frac{1}{3}\right)^{4 x}=27^{x+3} $

$ k 11,250+k 375=K 11,625 $. Answer: KH, 625 . Ritchie is buying a unit with a purchase price of K240 000. To do this he takes a home loan from a bank for K195 000. The bank charged an application fee of K600, a valuation fee of K200 and a settlement fee of K300. His solicitor charged him…

g) Let X be a normed linear space and f be a linear functional on X . Prove that if $ f(x)=f(y) $ then $ x=y $. [2 marks]

GR 12 GENERAL MATHEMATICS M2 TOPIC TEST 2 e the information given instable to answer Questions 4 and 5 . \begin{tabular}{|l|l|} \hline \multicolumn{1}{|c|}{ Purchase Price } & \multicolumn{1}{|c|}{ Stamp Duty } \\ \hline Up to K250 000 & K1.00 per K100 or part-there-of \\ 251000 to K500 000 &…

Course: BIOL131-1N-Anatc Homework Do Homework - Section 3. Math 140-Spring 2025-Section 2N jaylin joseph 03/29/25 4:19 PM Homework: Section 3.3 Question 3, 3.3.7 HW Score: 8.7\%, 2 of Homework Part 1 of 3 23 points ○ Points: 0 of 1 Save Question list Question 1 Question 3 Question 4 Question…

Euler's method: using an inital condition we can $ p / \mathrm{g} $ it into the $ D E $ and get a slape at that porst. We can follow this siope to the next $ x $-value (step) and get a new $ y $-value. Then you cas plug this new coordinate into the DE and get a new sipe. You can repeat…

mylab.pearson.com $ 25- $ Section 2 N jaylin joseph $ 03 / 29 / 25 $ \&/16 P1 Section 3.3 Question 2, 3.3.5 HW Score: 4a5\%, 1 of 23 porints Points: 0 d- 1 Write an equation of the line with the given slope and the given $ y $-intercept. Expr answer in standard form. Slope \(…

Do Homework - Section Homework Do Homework Section mylab.pearson.com jaylin joseph 03/29/25 4:15 PM HW Score: 0\%, 3.3 Question 1, 3.3.3 23 points (®) Points: 0 of 1 Save Write the equation of the line with the given slope and the given $ y $-intercept. Leave the answer in slope-intercept…

8 Type the correct answer in the box. Use numerals instead of words. Aright square pyramid has an altitude of 10 and each side of the base is 6 . To the nearest tenth of a centimeter, what is the distance from the apex, or top of the pyramid, to each vertex of the base? \[ \mathrm{z}=\square…

d) Show that the kernel, $ \operatorname{Ker} T $ of a continuous operator $ T $ is a closed subset of a metric space ( $ \mathrm{X}, \mathrm{d} $ ). [3 marks]

1. (JPE) Let \[ A=\left(\begin{array}{ccc} 4 & 4 & 1 \\ 3 & -2 & 7 \\ 0 & 3 & 1 \end{array}\right) \] Use Householder reflectors to find a QR factorization for the matrix $ A $, i.e., $ A=Q R $ where $ Q $ is an orthogonal matrix and $ R $ is an upper triangular matrix.

2. To yield $ \$ 5000 $ in two years in an investment that pays interest at a rate of $ 7.25 \% $ per year, compounded quarterly, how much would you have to invest?

In right triangle $ A B C, m \angle A=30^{\circ} $ and $ \mathrm{m} \angle B=90^{\circ} $. Which of the following are true? I. $ \sin (A)=\sin (C) $ II. $ \sin (A)=\cos (C) $ III. $ \cos (A)=\cos (C) $ IV. $ \cos (A)=\sin (C) $ A. III and IV B. I and III C. I and II D. II and IV

A company charting its profits notices that the relationship between the number of units sold $ x $ and the profit $ P $ If 800 units sold results in $ \$ 3657 $ profit and 875 units sold results in $ \$ 7182 $ profit, find the marginal profit, which rate of change of the profit The…

Suppose the cost of a business property is $ \$ 1,930,000 $ and a company depreciates it with the straight-line method Suppose $ v $ is the value of the property affer $ x $ years, and the line representing the value as a function of years passes through the points $ (90,1370000) $ and…

15. The diagram below shows a lawn (unshaded) surrounded by a path of uniform width (shaded). The curved end of the lawn is a semicircle of diameter 10 m . Calculate the total area of the path.

Rationalize the denominator and simplify. Assume that the variable represents a positive real number. \[ \frac{\sqrt{3}}{\sqrt{2 y}} \] $ \square $ $ \sqrt{\square} $ Explanation Check Search

Suppose the cost of a business property is $ \$ 1,930,000 $ and a company depreciates it with the straight-line method. Suppose $ v $ is the value of the property after $ x $ years, and the line representing the value as a function of years passes through the points $ (90,1370000) $ and…

e.com/d21/le/content/148735/viewContent/6243936/View Quiz Listen Order: Potassium Chloride 20 mEq IV now How much will the nurse draw up? $ \square $

Suppose the cost of a business property is $ \$ 1,930,000 $ and a company depreciates it with the straight-line method Suppose $ v $ is the value of the property after $ x $ years, and the line representing the value as a function of years passes through the points $ (90,1370000) $ and…

om/d21/le/content/148735/viewContent/6243936/View iz $ \square $ $ A $ Question 6 (10 points) Listen Order: Clindamycin 200 mg po qid $ \times 5 $ days Available: Clindamycin oral solution labeled $ 75 \mathrm{mg} / \mathrm{mL} $ How much will the nurse administer? \( \square…

What is the pH of a solution at $ 25^{\circ} \mathrm{C} $ with a $ \left[\mathrm{H}_{3} \mathrm{O}^{+}\right] $of $ 3.25 \times 10^{-6} \mathrm{M} $ ? 3.25 4.49 5.49 6.00

Write the following in simplified radical form. \[ \sqrt[4]{48 w^{11}} \] Assume that the variable represents a positive real number. $ \square $

Write the following in simplified radical form. \[ \sqrt[3]{128 x^{14}} \] Assume that the variable represents a positive real number. $ \square $

Write the following in simplified radical form. \[ \sqrt[4]{16 w^{15}} \] Assume that the variable represents a positive real number. $ \square $ $ \sqrt[\square]{\square} $ $ \square $ $ \times $ 5 Explanation Check

Write the following in simplified radical form. \[ \sqrt[3]{81 u^{10}} \] Assume that the variable represents a positive real number. $ \square $ $ \sqrt[a]{\square} $ $ \square $ $ \checkmark $ Explanation Recheck Search

Use the graph on the right to answer the questions. What is the value of $ f(-3) $ ? \[ f(-3)=\square \] CONE What are the domain and range of $ f(x) $ ? Domain ( $ -\infty, \infty $ ): Range: ( $ -\infty, \infty $ ) Domain ( $ -\infty, 4 $ ). Range: ( $ -\infty, 4] $ Domain ( \(…

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