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Ivenika [448]
3 years ago
8

Legend has it that a bull sasquatch in rut will howl approximately 9 times per hour when it is 40°f outside and only 5 times per

hour if it is 70°f. assuming that the number of howl's per hour, n, can be represented by a linear function of temperature fahrenheit, find the number of howl's per hour he'll make when it is only −20°f outside. (round your answer to the nearest whole number.)
Mathematics
1 answer:
ahrayia [7]3 years ago
8 0

The answer is 13.

To solve this question, you need to determine the slope of the function. if howl  is y and the temperature is x of the graph, the slope would be:

9-5/(40-70)= 4/-30= -2/15

Using one of the point and the slope, you can find the number of howl

-2/15= 9-y/40-(-20)

9-y= -2/15 * 60

9-y= -4

y= 9+4= 13

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Step-by-step explanation:

Let the numbers are 4x and 7x. According to the question if each number is increased by 20, the ratio becomes 7 : 9.

Then,

( 4x + 20 ) : ( 7x + 20 ) = 7 : 9

9( 4x + 20 ) = 7( 7x + 20 )

9( 4x ) + 9( 20 ) = 7( 7x ) + 7( 20 )

9( 20 ) - 7( 20 ) = 7( 7x ) - 9( 4x )

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40 = 13 x

40 / 13 = x

Therefore, number are :–

4 x = 4( 40 / 13 ) = 160 / 13

7 x = 7( 40 / 13 ) = 280 / 13

4 0
3 years ago
Math help please, thank you!
CaHeK987 [17]
The answer to the first question of the attached document is option 1. We obtain the answer subtracting the term n from the series with the term n-1.For example:
 -3 - (- 5) = 2
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 The answer to the second question is option 3:
 y = | x + 7 |
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 if we do y = 0 then x = -7
 if we do x = 0 then y = 7.
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3 0
3 years ago
Which of the following indicates that the roots of a quadratic are irrational
yan [13]
Answer would be D  You can have a rational discriminant for an irrational root, but you can also have rational discriminant for a rational root. So C is partially correct. 

<span>All prime discriminants will result in an irrational root, but not all irrational roots have prime discriminants </span>
6 0
4 years ago
A principal amount of $3000 is invested for 3 years at 4% compounded semi-annually. Use the compound interest formula to determi
andreev551 [17]

The $378.49 was earned on the investment if the principal amount of $3000 is invested for 3 years at 4% compounded semi-annually.

<h3>What is compound interest?</h3>

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

\rm A = P(1+\dfrac{r}{n})^{nt}

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

Here,

P = $3000

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n = 2

t = 3 years

After plugging all the values in the formula:

\rm A = 3000(1+\dfrac{0.04}{2})^{2\times 3}

After solving:

A = $3,378.49

I = A - P = 3,378.49 - 3000 = $378.49

Thus, the $378.49 was earned on the investment if the principal amount of $3000 is invested for 3 years at 4% compounded semi-annually.

Learn more about the compound interest here:

brainly.com/question/26457073

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2 years ago
Area &amp; Surface Area Question<br> help me please!
pav-90 [236]

The area of a rectangle is given by its base times its height.

In this case,

A=7\times5\\\\\boxed{A=35 \text{ units}^2}

3 0
3 years ago
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