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Finger [1]
3 years ago
9

Evaluate the exponential function.

Mathematics
1 answer:
kakasveta [241]3 years ago
8 0
Hey there!

Our function is:

f(x) = 4^x

If we want to have f(3), we simply can plug in 3 to our answer, and evalutate from there:

f(x) = 4^3 =
4*4*4 =
16*4 =
64

We just calculated 4 to the fourth power, which is four times four times four times four. Therefore, 4 of four is equal to 64.

Hope this helps!
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ABCD diagonals intersect at E. If m∠BAC=4x+5 and m∠CAD=5x-14, then find m∠CAD.
Travka [436]

Answer: m∠CAD = 81°

Step-by-step explanation: <u>Diagonal</u> is a line that unites opposite sides.

ABCD is a prallelogram. One property of diagonal in a parallelogram is it separates the parallelogram in 2 congruent triangles.

The figure below shows ABCD with its diagonals.

Since diagonal divides a parallelogram in 2 congruent triangles, it means the internal angles are also congruent. So

m∠BAC = m∠CAD

4x + 5 = 5x - 14

x = 19

Then, m∠CAD is

m∠CAD = 5(19) - 14

m∠CAD = 81

The angle m∠CAD is 81°.

7 0
3 years ago
Please solve and show your work. Thank you! I will mark brainiest :)
Doss [256]

Answer:

x=22.5

Step-by-step explanation:

Make a ratio

The names of the triangle help with this.

AB is similar to FG, and AC is similar to FH (the missing side)

6/15 = 9/x

cross multiply

6x=135

divide both sides by 6

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6 0
3 years ago
Read 2 more answers
The weight of a box varies directly as the volume of the box. If a 138-pound box has a volume of 23 gallons, what is the weight
kolezko [41]

Answer:

D. 150 pounds

Step-by-step explanation:

For be directly proportional, it has to be that as one value increases the other does it equally, so

If  138 pound box has a volume of 23 gallons for 25 gallons ?. For being directly proportional tha value must be higest

138  →  23                       x=\frac{25*138}{23} = 150

x      →  25

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3 years ago
SOMEONE HELP FAST THIS IS DUE SOON PLZ
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Answer:

-27.5

Step-by-step explanation:

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B cause you take y times it by the circumference
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