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Luda [366]
1 year ago
14

Given the function w(x) = 9x + 8, evaluate w(5). Explain all steps.

Mathematics
1 answer:
vladimir2022 [97]1 year ago
5 0

The value of the function w(5) is 53

<h3>How to evaluate the function?</h3>

The function is given as:

w(x) = 9x + 8

The expression w(5) implies that the value of x is 5

i.e. x = 5

Substitute the known values in the above equation

w(5) = 9 * 5 + 8

Evaluate the product

w(5) = 45 + 8

Evaluate the sum

w(5) = 53

Hence, the value of the function w(5) is 53

Read more about functions at:

brainly.com/question/2328150

#SPJ1

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A storage space in a basement is in the shape of a rectangular prisim. The hieght of the storage space is 5 feet. The length is
Greeley [361]

Answer:

length is 28.86ft

width= 4.12ft

Step-by-step explanation:

<h2>This problem bothers on the mensuration of solid shapes, a rectangular prism.</h2>

The storage space takes the shape of a rectangular prism, and we are required to find the width and length  of the storage space.

let the width of the basement be "w"

Given data

volume v=595ft^{3}

length l = 7w ft

width w= w

height h= 5 ft

We know that the expression for the volume of a rectangular prism is

volume= length * width* height

substituting our data we have to find "w"

595= 7w*w*5\\595=7w^{2}*5\\ 595= 35w^{2} \\

dividing both sides by 35 we have

w^{2}= \frac{595}{35\\}  \\w^{2}= 17\\

find the square root of both sides we have

w=\sqrt{17} \\w= 4.12

since we know that length= 7w and width = w , we can substitute our value for w and find the length and width

length= 7*4.12= 28.86ft\\width = 4.12ft

6 0
3 years ago
A shirt was originally priced at $30. The store is having a 5% off sale. How much will you pay for the shirt after the discount
pishuonlain [190]

Answer:

$28.50

Step-by-step explanation:

multiply 30 by 5 then divide by 100 and subtract the answer by 30

30×5=150

150÷100=1.5

30-1.5=28.50

8 0
3 years ago
In the pulley system shown in this figure, MQ = 30 mm, NP = 10 mm, and QP = 21 mm. Find MN.
ankoles [38]
<h2>Answer:</h2>

\boxed{\overline{MN}=37.96}

<h2>Step-by-step explanation:</h2>

For a better understanding of this problem, see the figure below. Our goal is to find \overline{MN}. Since:

\angle MRS=\angle MQP=90^{\circ} \\ \\ \overline{MQ}=\overline{MR}=30mm

and \overline{MN} is a common side both for ΔMRN and ΔMQN, then by SAS postulate, these two triangles are congruent and:

\overline{RN}=\overline{QN}

By Pythagorean theorem, for triangle NQP:

\overline{QN}=\sqrt{\overline{NP}^2+\overline{QP}^2} \\ \\ \overline{QN}=\sqrt{10^2+21^2} \\ \\ \overline{QN}=\sqrt{541}

Applying Pythagorean theorem again, but for triangle MQN:

\overline{MN}=\sqrt{\overline{MQ}^2+\overline{QN}^2} \\ \\ \overline{MN}=\sqrt{30^2+(\sqrt{541})^2} \\ \\ \boxed{\overline{MN}=37.96}

3 0
3 years ago
Hi can someone plz help me with #1...it’s being graded. sos thanks so much!!
densk [106]
1:105::25:X
105*25whole divided by 1*X
2625
3 0
3 years ago
Read 2 more answers
So im really confused by this and could use some help.
Otrada [13]

Answer:

Nancy fits the equation.

Step-by-step explanation:

I think they're asking which gorilla fits the equation.

2b - 15 = 605

<em>Add 15 to both sides</em>

2b=620

<em>Divide both sides by 2</em>

b=310

The only gorilla who weighs 310 pounds is Nancy.

5 0
3 years ago
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