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2 years ago

10

Brett works at a local pet store. When he works 4 hours he earns $36. When he works 9 hours he earns $81. What is the rate per h

our?

1 answer:

Kitty [74]2 years ago

4 0

The answer is 9 Dollars per hour because 36 divided by 9 is 4 and 9 times 9 is 81.

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A plane flying horizontally at an altitude of "1" mi and a speed of "430" mi/h passes directly over a radar station. Find the ra

Anika [276]

Answer:

The rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station is 372 mi/h.

Step-by-step explanation:

Given information:

A plane flying horizontally at an altitude of "1" mi and a speed of "430" mi/h passes directly over a radar station.

$z=1$

$\frac{dx}{dt}=430$

We need to find the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station.

$y=2$

According to Pythagoras

$hypotenuse^2=base^2+perpendicular^2$

$y^2=x^2+1^2$

$y^2=x^2+1$ .... (1)

Put z=1 and y=2, to find the value of x.

$2^2=x^2+1^2$

$4=x^2+1$

$4-1=x^2$

$3=x^2$

Taking square root both sides.

$\sqrt{3}=x$

Differentiate equation (1) with respect to t.

$2y\frac{dy}{dt}=2x\frac{dx}{dt}+0$

Divide both sides by 2.

$y\frac{dy}{dt}=x\frac{dx}{dt}$

Put $x=\sqrt{3}$ , y=2, $\frac{dx}{dt}=430$ in the above equation.

$2\frac{dy}{dt}=\sqrt{3}(430)$

Divide both sides by 2.

$\frac{dy}{dt}=\frac{\sqrt{3}(430)}{2}$

$\frac{dy}{dt}=372.390923627$

$\frac{dy}{dt}\approx 372$

Therefore the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station is 372 mi/h.

6 0

3 years ago

Use the function rule z = 2x + 3.

musickatia [10]

Step-by-step explanation:

Z = 2x + 3

Putting value of x

Z = 2( - 16.7) + 3

Z = - 33.4 + 3

Z= - 30.4

Option B is the correct answer

3 0

2 years ago

Can yall help me I want 3 problems done thank you if not can you at least do one?

Stells [14]

Answer:

1. the plants grew 50%

2. if the plants grew to be 8 inches instead of 9 the they would have grown 33% which is less than 50%

3. 100% increase

Step-by-step explanation:

See image for steps

7 0

2 years ago

If oyu answer ill mark you as a brainlest it gives you 70 points and i will follow and answer any questions you have i promise.

lutik1710 [3]

Answer:

C

Step-by-step explanation:

brainliest?

also u lied 70 points?!?!?!

also u better answer my questions

7 0

2 years ago

Read 2 more answers

a dress shirt that normally cost $38.50 is on sale and being advertised as a 30% decrease. what percent expression could be used

astraxan [27]

.7 * 38.5 = original price

.7 * 38.5 = $26.95

4 0

2 years ago