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solniwko [45]
2 years ago
8

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage r

ate of increase or decrease.
y=21(0.97)^x
what is the % increase
Mathematics
1 answer:
ruslelena [56]2 years ago
7 0

Answer:

Step-by-step explanation:

As the number under the exponent is less than 1, this is a decay function.

y decreases by (1 - 0.97)100 = 3% for each unit increase in x

so the increase would be -3%

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alukav5142 [94]
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3 years ago
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A cube-shaped box has a volume of 1/8 of a cubic meter. What is the perimeter of each of its
belka [17]

Given:

The volume of a cube-shaped box is \dfrac{1}{8} cubic meter.

To find:

The perimeter of each of its faces.

Solution:

Let "a" be the side length of the cube shaped box. Then the volume of the box is:

V=(side)^3

V=a^3

It is given that the volume of a cube-shaped box is \dfrac{1}{8}  cubic meter.

a^3=\dfrac{1}{8}

Taking cube root on both sides, we get

a=\dfrac{1}{2}

Now, the perimeter of each face of a cube is:

P=4a

Where, a is the side length of the cube.

Putting a=\dfrac{1}{2}, we get

P=4\times \dfrac{1}{2}

P=2

Therefore, the perimeter of each face of a cube-shaped box is 2 meters.

5 0
3 years ago
(8√2 - 5) (9√5 +6√10)<br> Simplify
salantis [7]

Answer:

42 (square root>) 10 + 51 (square root>) 5

Step-by-step explanation:

5 0
3 years ago
A system of equations is graphed on the coordinate plane. y = -6x - 3, y = -x + 2, what is the solution of equations?
UkoKoshka [18]

(x, y ) → (- 1, 3 )

The solution to the system of equations is the point of intersection of the 2 lines

From the graph, that is (x, y ) → ( - 1, 3 )

We can confirm by solving algebraically

Since both equations express y in terms of x we can equate the right sides

- x + 2 = - 6x - 3 ( add 6x to both sides )

5x + 2 = - 3 ( subtract 2 from both sides )

5x = - 5 ( divide both sides by 5 )

x = - 1

substitute x = - 1 into either of the 2 equations for y-coordinate

y = - x + 2 = 1 + 2 = 3

solution is (x, y ) → (- 1, 3 )


8 0
3 years ago
PLEASE HELP AND SHOW WORK IF YOU CAN​
Murljashka [212]

Answer:

c) XY > RS

= true

Step-by-step explanation:

Firstly know the meaning of each sign given

> means <u>is greater than</u>

= means <u>is equal to</u>

a)XZ > ST

XZ = 8

ST = 11 - greater

= false

b) XY = RS

Due to the angles presented, we conclude that the greater the angle, the longer the unmeasured line.

XY is longer than RS

= false

c) XY > RS

= true

d) RS > XY

RS is shorter than XY hence not greater.

= false

3 0
3 years ago
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