Numerade

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Use what you know about the discriminant $b^2 - 4ac$ to decide what must be true about $c$ in order for the quadratic equation $10x^2 + 2x + c = 0$ to have two different solutions. The equation has two solutions if $c \ge \frac{1}{10}$. The equation has two solutions if $c > 0$. The equation has two solutions if $c \le 0$. The equation has two solutions if $c \le \frac{1}{10}$. The equation has two solutions if $c < \frac{1}{10}$.

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b. School starts in 37 minutes and you live 13 miles from school. What average speed (in miles per hour) would allow you to arrive at school on time?

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Q1) The operating cash flow for the project can be calculated as follows: Revenue per year = Selling price per unit * Units produced per year = 40 * 85 = 3400 Variable cost per year = Variable cost per unit * Units produced per year = 20 * 85 = 1700 Fixed cost per year = 500 Depreciation per year = Total investment / Life of the equipment = 3500 / 5 = 700 EBIT (Earnings Before Interest and Taxes) = Revenue - Variable cost - Fixed cost - Depreciation = 3400 - 1700 - 500 - 700 = 500 Tax = EBIT * Tax rate = 500 * 0.34 = 170 Operating cash flow = EBIT - Tax + Depreciation = 500 - 170 + 700 = 1030 The correct answer is not listed among the options provided. Q2) The financial break-even quantity can be calculated as follows: Fixed cost per year = 500 Depreciation per year = 700 Total fixed cost = Fixed cost + Depreciation = 500 + 700 = 1200 Selling price per unit = 40 Variable cost per unit = 20 Contribution margin per unit = Selling price per unit - Variable cost per unit = 40 - 20 = 20 Financial break-even quantity = Total fixed cost / Contribution margin per unit = 1200

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A real object is 29 cm tall. The object is placed on the left side of a converging lens with a focal length of 25 cm. The object forms an upright image by the lens. If the image is 10 cm away from the lens, what is the height of the image? Express the answer as a positive quantity in unit cm.

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Two. A point $P(x, y)$ on the unit circle $x^2 + y^2 = 1$ has $x$-coordinate $\frac{5}{13}$. The $y$-coordinate is negative. If $s$ is a real number such that the arclength along the unit circle from $(1, 0)$ to $P$ is $s$ units, find the following: A. $\sin s$ B. $\tan s$ C. $\cos^2 s + \sin^2 s$

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Go to the code7-1.html file and within the head section insert a link element linking the page to the code7-1_forms.css style sheet. Also insert a script element that opens the formsubmit.js JavaScript file for handling the form submissions. Within the body of the web page insert a form element with the value of the action attribute set to login-script.php and the method value set to post.

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Find the gradient of the following scalar fields: (a) $V = e^{-z} \sin 2x \cosh y$ (b) $U = \rho^2 z \cos 2\phi$ (c) $W = 10r \sin^2 \theta \cos \phi$

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Question 3 Which of the following are problems with explicit measures of prejudice? predictive validity and social desirability predictive validity and reactivity effects over generalization and social desirability social desirability and reactivity effects

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Question 17 2 Points Depersonalization/derealization disorder is a dissociative disorder in which people feel detached from the self (depersonalization). and the world feels artificial and unreal (derealization). A) True B) False Question 18 2 Points Etiology refers to the origin of a particular disorder. A) True B) False Question 19 2 Points Autism is considered a neurodevelopmental disorder. A) True B) False Question 20 2 Points Bipolar disorder is a mood disorder in which the person goes through periods of intense depression and periods of intense anxiety. A) True B) False Question 21 2 Points Autism spectrum disorder can include A) deficits in communication. B) deficits in social interaction. C) repetitive patterns of behavior. D) sensory processing abnormalities.

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Water flows through the pipe C at 6 m/s. Determine the horizontal and vertical components of force exerted by elbow D necessary to hold the pipe assembly in equilibrium. Neglect the size and weight of the pipe and the water within it. The pipe has a diameter of 55 mm at C, and at A and B the diameters are 30 mm. Hydrostatic pressures at A and B are as shown

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robert c.