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2 years ago

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The cost of soup, s, varies directly with the number of cans, c. When c is 4, the cost is $3. Which graph represents the cost of

the soup?

2 answers:

r-ruslan [8.4K]2 years ago

4 0

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form

$\frac{y}{x} =k\ or\ y=kx$

In this problem

Let

x--------> the number of cans

y-------> the cost of a soup

so

when

$x=4\ cans\\y=\$3$

substitute

$\frac{y}{x} =k\\\\ \frac{3}{4} =k$

the equation is

$y=\frac{3}{4}x$

using a graph tool

see the attached figure

the answer in the attached figure

larisa [96]2 years ago

4 0

Answer:

The answer is C on Edg2020

Step-by-step explanation:

Hope this helps!!! Have a great day!!! : )

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Given: AB ∥ DC

RSB [31]

Answer:

$A=1,720.16\ units^2$

Step-by-step explanation:

we know that

The area of the trapezoid is equal to

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step 1

Find the measure of angle DAE

m∠ADC+m∠DAE=180° -----> by consecutive interior angles

we have

m∠ADC = 134°

substitute

134°+m∠DAE=180°

m∠DAE=180°-134°=46°

step 2

In the right triangle ADE

Find the length side AE

cos(∠DAE)=AE/AD

$AE=cos(46\°)(40)\\AE=27.79\ units$

step 3

In the right triangle ADE

Find the length side DE

sin(∠DAE)=DE/AD

$DE=sin(46\°)(40)\\DE=28.77\ units$

step 4

Find the area of ABCD

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we have

$DC=32\ units\\AB=DC+2(AE)=32+2(27.79)=87.58\ units\\DE=28.77\ units$

substitute

$A=\frac{1}{2}(32+87.58)28.77$

$A=1,720.16\ units^2$

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2 years ago

Senior management of a consulting services firm is concerned about a growing decline in the firm’s weekly number of billable hou

Reil [10]

Answer: (45.79, 51.21)

Step-by-step explanation:

Given : Significance level : $\alpha: 1-0.99=0.01$

Sample size : n= 51 , which is a large sample (n>30), so we use z-test.

Critical value: $z_{\alpha/2}=2.576$

Sample mean : $\overline{x}= 48.5\text{ hours}$

Standard deviation : $\sigma=7.5\text{ hours}$

The confidence interval for population means is given by :-

$\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

i.e. $48.5\pm(2.576)\dfrac{7.5}{\sqrt{51}}$

i.e. $48.5\pm2.70534112234\\\\\approx48.5\pm2.71\\\\=(48.5-2.71, 48.5+2.71)=(45.79, 51.21)$

Hence, 99% confidence interval for the standard deviation of the number of hours this firm’s employees spend on work-related activities in a typical week = (45.79, 51.21)

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2 years ago

The graph shows the number of sprays an automatic air freshener dispenses, y, in x minutes: A graph is shown. On the x-axis, the

alexira [117]

We are given points (30,4) , (60,8) and (90,12)

To calculate the rate per minute at which the air freshener dispenses sprays,

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The formula for slope is given by :

$slope = \frac{y2-y1}{x2-x1}$

let us use two points (60,8) and (90,12) to find the slope,

$slope = \frac{12-8}{90-60}$

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So the rate per minute at which the air freshener dispenses sprays is 4/30.

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A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th

oksian1 [2.3K]

Answer:

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Step-by-step explanation:

Solution:-

The trajectory of a rocket launched is modeled by a parabolic path via a quadratic equation as follows:

$y = -16x^2 + 266x +102$

Where,

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x: The time taken since rocket launch

We are to determine the time ( x ) it takes for the rocket to hit the ground. This can be determined by setting the quantity ( y ) to zero as follows

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solve the quadratic equation using quadratic formula as follows:

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