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Nitella [24]
3 years ago
7

one day, gale and hector each recorded temperatures outside their homes. function g shows tempatures, in F, gale recorded c hour

s after noon. the graph shows temperatures, in f, hector recordrf x hours after noon

Mathematics
2 answers:
myrzilka [38]3 years ago
8 0
Hector, 4 degrees, Gale
DedPeter [7]3 years ago
6 0

Answer:

1. Hector's

2. 4^{o} F

3. Gale's      

Step-by-step explanation:

We have been given a graph and table of data about recorded temperatures outside Gale and Hector's homes.    

We can see from graph that at noon temperature outside Hector's home is 3 degree Fahrenheit that is h(0). Our table shows the temperature outside Gale's home at noon is -1 degree Fahrenheit that is g(0).            

Let us find the difference between temperatures outside Gale and hectors home at noon.

\text{ Difference of temperatures}=3--1=3+1=4          

We can see that at noon temperature outside Hector's home is 4 degree Fahrenheit more than temperature outside Gale's home.    

Therefore, at noon, temperature outside of Hector's home was 4^{o} F warmer than temperature outside of Gale's home.    

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Answer:

w⁴ + 3w³ + 11w² + 6w + 18

Step-by-step explanation:

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        = w⁴ + 2w² + 3w³ + 6w + 9w² + 18

        = w⁴+ 3w³ + (9w²+2w²) + 6w + 18

        = w⁴ + 3w³ + 11w² + 6w + 18

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Step-by-step explanation:

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It is given in the question that

Asia and taryn each had the same amount of money. after asia spent $14 and taryn spent $22, the ratio of asia's money to taryn's money was 4 to 3.

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The volume of this cube is 27 cubic meters. What is the value of m?
ladessa [460]

Hey ! there

Answer:

  • n is equal to <u>3 </u><u>meters</u>

Step-by-step explanation:

In this question we are provided with a cube having <u>volume </u><u>2</u><u>7</u><u> </u><u>cubic </u><u>meters</u><u> </u>. And we are asked to find the <u>value </u><u>of </u><u>n </u>that is basically its <u>edge </u><u>.</u>

For finding the value of n we need to know the volume of cube. So ,

\:  \qquad  \:  \qquad \: \underline{ \boxed{ \frak{Volume_{(Cube)} = a {}^{3} }}}

<u>Where</u><u> </u><u>,</u>

  • a refers to <u>edge </u><u>of </u><u>cube</u>

<u>SOLUTION</u><u> </u><u>:</u><u> </u><u>-</u>

Substituting given volume that is 27 m³ and value of a as n in formula :

\quad \longrightarrow \qquad \: n {}^{3}  = 27

Applying cube root on both sides :

\quad \longrightarrow \qquad \:  \sqrt[3]{n {}^{3} }  =  \sqrt[3]{27}

We get ,

\quad \longrightarrow \qquad \:n=  \sqrt[3]{27}

We know that 3 × 3 × 3 is equal to 27 that means cube root of 27 is 3 . So ,

\quad \longrightarrow \qquad \:    \blue{\underline{\boxed{\frak{ n = 3 \: m}}}} \quad \bigstar

  • <u>Henceforth</u><u> </u><u>,</u><u> </u><u>value</u><u> </u><u>of </u><u>n </u><u>is </u><u>❝</u><u> </u><u>3 </u><u>meters </u><u>❞</u>

<u>Verifying</u><u> </u><u>:</u><u> </u><u>-</u>

Now we are checking our answer whether it is wrong or right by substituting value of n and equating it with given volume that is 27 cubic meters . So ,

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  • L.H.S = R.H.S

  • Hence, Verified .

<u>Therefore,</u><u> </u><u>our</u><u> answer</u><u> is</u><u> correct</u><u> </u><u>.</u>

<h2><u>#</u><u>K</u><u>e</u><u>e</u><u>p</u><u> </u><u>Learning</u></h2>
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