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Fofino [41]
3 years ago
8

Use the rule for y= -6x +8 to find the output if the input is x=20

Mathematics
1 answer:
lisov135 [29]3 years ago
8 0

Answer:

The output of the function y = -6x + 8 when the input is x = 20 is -112.

Step-by-step explanation:

y = -6x + 8

Input the value x = 20.

y = -6(20) + 8

Multiply -6 and 20.

y = -120 + 8

Add -120 and 8.

y = -112.

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Find the product.<br><br> (-5a ^2)^3·a ^5<br><br> A)-15a10<br> B)-125a11<br> C)15a6<br> D)-125a10
Ber [7]

Answer:

  B)  -125a^11

Step-by-step explanation:

(-5a^2)^3·a^5 = (-5)^3·a^6·a^5

  = (-5)^3·a^(2·3)·a^5

  = (-5)^3·a^6·a^5

  = -125·a^(6+5)

  = -125·a^11 . . . . matches choice B

_____

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

5 0
2 years ago
Read 2 more answers
Wendy is standing 60 feet away from a tree. Her eyes are 5 feet above the ground. She sees a bird hovering above a tree. The ang
Gennadij [26K]

The bird is 17 feet above the tree.

<u>Explanation:</u>

We need to think of this in terms of right triangles.  If Wendy is 60 feet from a tree, the base of the right triangle is 60 feet.  The height of the tree is the height of the right triangle.  The angle of elevation is the one from the ground at her feet to the top of the tree and then to the bird.  Let's start with the top of the tree first.

She's 60 feet away, we have the angle of elevation as 25 degrees, and we are looking for the height of the tree.  In regards to the angle, the base of 60 is adjacent, and the height of the tree is opposite.  The tangent ratio is height / base.

Let x be the height of the tree.

So,

tan (25) = \frac{x}{60}

60 tan(25) = x\\\\x = 27.9 feet

x is approximately 28 feet

Since, Wendy's eyes are 5 feet above the ground, the height of the tree becomes

28 + 5 = 33 feet

<u>For bird</u>

Let y be the height of the bird in the air

tan(37) = \frac{y}{60} \\\\60 tan(37) = y\\\\y = 45.2 feet

y is approximately 45 feet

Since, Wendy's eyes are 5 feet above the ground, the height of the tree becomes

45 + 5 = 50 feet

To know how far above the tree that bird is

50 - 33 = 17 feet

Therefore, the bird is 17 feet above the tree.

3 0
3 years ago
Where is the center of CD given C(-6, 12) and D (13, 20)?
Law Incorporation [45]
(3.5, 16)

Midpoint Formula is 
((x1+x2)/2, (y1+y2)/2)
3 0
3 years ago
HELP PLEASE I WILL GIVE BRAINLIEST!!!!
devlian [24]

Answer:

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4 0
3 years ago
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Justine runs 250 yards in 50 seconds.
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Answer:

a: 300 Yards

b: 10 seconds

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