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AlexFokin [52]
2 years ago
8

You are cooking for a party. How long will it take to cook 30 ears of corn if it takes 20 minutes to cook a total of 25 ears of

corn?
Mathematics
1 answer:
klemol [59]2 years ago
8 0

Answer:

37.5 minutes (or 38 rounded).

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Let f(x)=4x+7 and g(x)=3x-5. find (fog)(-4)<br><br> A. -9 <br> B. -61 <br> C. -32 <br> D. -17
prohojiy [21]

Answer:

B . (fog)(-4)  = - 61

Step-by-step explanation:

Here, given  f(x) = 4 x + 7, g(x) = 3 x- 5

Now, by the COMPOSITE FUNCTION:

(f o g) (x)  = f (g(x))

Now here: )f o g) ( -4)  = f (g(-4))

<u>Simplifying for g(x) =  3 x  - 5</u>

 g(-4)  = 3 (-4) -  5 = -12 - 5  = -17

or, g (-4)  = -17

Now, <u>for f(x) = 4 x + 7 </u>

f ( g(-4))  = f ( -17) = 4 (-17) + 7

= - 68 + 7 =  - 61

or, f ( g(-4))  = - 61

Hence, (fog)(-4)  = - 61

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A pyramid has a square base with an area of 169ft. What is the perimeter of the base of the pyramid?
ArbitrLikvidat [17]

Answer:52 ft.

Step-by-step explanation: If the area of the base of the pyramid is

169

ft

2

then each side of the base is

13

ft

long because the base of the pyramid is a square.

Length of the side,

s

=

√

169

=

13

Iif we take the area of a square

A

=

s

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where

s

=

13

we get the area of the base to be

169

ft

2

thus proving that each side of the base is

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ft

long.

So to find the perimeter of the base of the pyramid we use the formula:

P

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4

s

where

s

=

13

ft

and thus,

p

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