Hello! I am a math teacher from Katy, TX! I have taught Algebra 1 and geometry for almost a decade. I love seeing my students grow and succeed both in and outside of the classroom.
Find the place value of the given digits.
$12,403,295$(a) 4(b) 0(c) 1(d) 9(e) 2
If $f(x)=2 x^{5}-9 x^{4}-66 x^{3}+45 x^{2}+280 x$ and $x^{2}-5$ is a factor of $f(x),$ find all $a$ for which $f(a)=0$.
Concept Check A quadratic function $f(x)$ has vertex $(0,0),$ and all of its intercepts are the same point. What is the general form of its equation?
Factor completely. $5 t^{2}+7 t-6$
Suppose your dog weighed 3.2 pounds at birth and weighed 15.1pounds one year later. Based on these two data points, find alinear function that describes how weight varies with age. Use thisfunction to predict your dog's weight at 6 and 11 years of age.Comment on the validity of this model.The equation used to model this situation is nothing, where w isthe weight of the dog in pounds and t is time in years.According to this model, the weight of the dog after 6 yearswill be nothing pounds. (Round to the nearest tenth as needed.)According to this model, the weight of the dog after 11 yearswill be nothing pounds. (Round to the nearest tenth as needed.)Which statement best describes the validity of this model?A.The model is never accurate because the dog's weight andage are not related.B.The model is only accurate for small ages because the dog willeventually stop growing.C.The model is only accurate for large ages because when the dogis young it grows faster than when it is older.D.The model is always accurate because the dog will continue togrow as it gets older.
Given the following events: Event A: Flipping a two-sided coin and getting a heads Event B: Flipping a two-sided coin and getting a heads Calculate the probability of flipping a heads then a heads P(A ∩ B) Enter your answer as a decimal with no rounding.
Suppose you cannot identify the known figures in an unknown figure, but you know that its density is 10 objects and that there are 200 objects in the figure. What is the area of the figure?10 units squared20 units squared200 units squared100 units squared
In a statistics class, 10 scores were randomly selected with the following results (mean = 71.5): 74, 73, 77, 77, 71, 68, 65, 77, 67, 66What is the standard deviation?Select one:A. 22.72B. 4.77C. 144.00D. 12.00E. 516.20
Tennis balls with a 3 inch diameter are sold in cans of three. The can is a cylinder. Assume the balls touch the can on the sides, top and bottom. What is the volume of the space not occupied by the tennis balls?
Use ̀́ = 3.14. Round your answers to the nearest hundredth.
A. 21.2 in³B. 49.46 in³C. 42.39 in³D. 63.59 in³
Problem 15. In guiding a ship past dangerously shallow water, a lighthouse attendant must determine the distance of the ship from the lighthouse. The lighthouse attendant sights the ship 30 degrees down from the horizontal. This 30 degrees angle is called the angle of depression. If the top of the lighthouse is 200 feet above sea level, how far is the ship from the base of the lighthouse? Express your answer to the nearest foot.
A. 200√3 B. (200√3)/3 C. 200/3 D. (200√3)/2 E. 100
