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3 years ago

15

A local merchandized car wash can clean 51 vehicles in 1.5 hours. At this rate how many vehicles can the car wash clean in 12 ho

urs

1 answer:

Marianna [84]3 years ago

7 0

Answer:

408 Cars

Step-by-step explanation:

Dividing 12 Hours by 1.5 hour

= 12/1.5 = 8

Now Multiplying 8 by 51

=51 x 8

= 408 cars

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A ball is thrown into the air. The height in feet of the ball can be modeled by the equation, h(t) = −16t2 + 10t + 6 where t is

Lelechka [254]

A function assigns the value of each element of one set to the other specific element of another set. The correct option is D.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

The time at which the ball will hit the ground is,

h(t) = −16t² + 10t + 6

0 = -16t² + 10t + 6

8t² - 8t + 3t - 3= 0

8t(t-1)+3(t-1) = 0

(8t+3)(t-1)=0

t = -0.375, 1

Hence, the ball hit the ground at 1 second, while the function in intercept form can be written as h(t) = (−8t − 3)(2t − 2).

Thus, the correct option is D.

Learn more about Function:

brainly.com/question/5245372

#SPJ1

6 0

2 years ago

A surveyor standing on top of a cliff found that the angle of depression of a boat as sea is 22°. if the top of the cliff is 15m

Alex73 [517]

Answer:

From the photo above i interpreted the question and drew a triangle to make it easier to solve

Tan is used to solve the question as we were given opposite (as height of the cliff) and to find Adjacent ( the distance between the foot of the cliff to the boat)

Tan θ =Opp/Adj

Tan 22°=15/a

Cross Multiply

aTanθ=15°

Divide both sides by Tan 22

aTan22/Tan22 = 15/Tan 22

a = 15/Tan 22°

a = 37.13 m

Therefore the distance between the foot of the cliff to the boat is 37.13 metres

5 0

2 years ago

Determine the values of the parameter s for which the system has a unique solution, and describe the solution. sx 1 minus 2 sx

JulijaS [17]

Note: The equations written in this questions are not appropriately expressed, however, i will work with hypothetical equations that will enable you to solve any problems of this kind.

Answer:

For the system of equations to be unique, s can take all values except 2 and -2

Step-by-step explanation:

$2sx_{1} + 4x_{2} = -3\\2x_{1} + sx_{2} = 4$

$\left[\begin{array}{ccc}2s&4\\2&s\end{array}\right] \left[\begin{array}{ccc}x_{1} \\x_{2} \end{array}\right] = \left[\begin{array}{ccc}-3 \\6 \end{array}\right]$

For the system to have a unique solution, $\begin{vmatrix} 2s & 4 \\ 2 & s \end{vmatrix} \neq 0$

$2s^{2} -8 \neq 0\\2s^{2}\neq 8\\s^{2}\neq 4\\s \neq 2 or -2$

6 0

3 years ago

Find the exact and the approximate volume of the cylinder. Round your approximation to the nearest hundredth. Show all work.

Degger [83]

V=hpr^2

V=10p(12/2)^2

V=360p cm^3 exact

V=1131 cm^3 (to the nearest tenth of a cubic centimeter)

5 0

3 years ago

Read 2 more answers

*Do not copy and paste nor give no explanation along with any spam or unnecessary information - It will be reported immediately

Sunny_sXe [5.5K]

Solution:

<h3>(D) nonexistent</h3>

lim <u>cos x + sin (2x) + 1 </u> is =0

x—> π x²+π²

<h3>Step by step explaination : </h3>

Plug in the value x = π :

<u>cos </u><u>π</u><u> + sin (2</u><u>π</u><u>) + 1</u> is

π²+π²

Last ,Simplify <u>cos π + sin (2π) + 1</u> is

π²+π²

<h3 /><h3>= 0</h3>

4 0

1 year ago

Read 2 more answers