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sashaice [31]
3 years ago
5

What is the value of the expression? ( 5/2 ) ^2 +3/4 ^3

Mathematics
1 answer:
NeX [460]3 years ago
7 0

5/2 ^2 =  6 1/4 = 6.25

3/4^3 =  27/64 = 0.4201875

6 1/4 + 27/64 = 6 43/64  (mixed number)

6.25 +0.421875 = 6.671875 (decimal)


 not sure what format you need, since the question was in fraction form, I think you need to answer using a mixed number though.


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Suppose y varies jointly as x and z. Find y when x=-9 and z=23, if y=117 when x=-3 and z=-11. Round your answer to the nearest h
Andrew [12]

Answer:

The value of y given the values of x and z in the question is -734.85

Step-by-step explanation:

This is a joint variation question.

First, we are made to know that y varies jointly as x and z.

The equation for this can be written as;

y = k * x * z

Where k is the constant of proportionality.

Let’s calculate k first.

117 = k * (-3) * (-11)

33k = 117

K = 117/33 = 3.55

Now, we proceed to get what y is when x = -9 and z = 23

Let’s plug these values into the initial equation written.

y = k * x * z

We use the value of k calculated above;

y = 3.55 * (-9) * (23) = -734.85

4 0
3 years ago
Read 2 more answers
Interpreting composite functions in the real world The volume of air in a balloon is represented by the function v(r)=4/3 ³, whe
adoni [48]

There are two <em>true</em> statements:

  1. When the function is composed with r, the <em>composite</em> function is V(t) = (1/48) · π · t⁶.
  2. V(r(6)) shows that the volume is 972π cubic inches after 6 seconds.

<h3>How to use composition between two function</h3>

Let be <em>f</em> and <em>g</em> two functions, there is a composition of <em>f</em> with respect to <em>g</em> when the domain of <em>f</em> is equal to the range of <em>g</em>. In this question, the <em>domain</em> variable of the function V(r) is replaced by substitution.

If we know that V(r) = (4/3) · π · r³ and r(t) = (1/4) · t², then the composite function is:

V(t) = (4/3) · π · [(1/4) · t²]³

V(t) = (4/3) · π · (1/64) · t⁶

V(t) = (1/48) · π · t⁶

There are two <em>true</em> statements:

  1. When the function is composed with r, the <em>composite</em> function is V(t) = (1/48) · π · t⁶.
  2. V(r(6)) shows that the volume is 972π cubic inches after 6 seconds.

To learn on composition between functions: brainly.com/question/12007574

#SPJ1

7 0
2 years ago
(6p-6/p)•((9p^2)/2p-2)
Alekssandra [29.7K]

Answer:

27p4-27p2-12p+12/p

Step-by-step explanation:

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3 years ago
A triangle has side lengths of 7 centimeters, 5 centimeters, and c centimeters.
storchak [24]
Sum of two sides always greater than the third side

If c is the smallest number, then

5 + c > 7
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If c is the largest number, then

5+7>c
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Adding c>2 and 12>c, you get 12>c>2 for the answer
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72,491 + 19,326 = 91,817
Leah scored 91,817 points
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