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2 years ago

If the length of each side of a cuboid decreases by 20%, find the percentage decrease in its volume.

Mathematics

1 answer:

just olya [345]2 years ago

6 0

Answer:

Step-by-step explanation:

(1+25 /100) (1-20/100) (1-50/100) <1

5/4 x 4/5 x 1/2 <1

Decrease in volume (in percent)

(1+25 /100) (1-20/100) (1-50/100) x 100

=48.8%

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What 2 numbers can be added to make 16 as well as multiplied to make -36

Sladkaya [172]

Answer:

18 and -2

Step-by-step explanation:

Let x = 1st no.

y = 2nd no.

(1) x + y = 16 (2) xy = -36

y = 16 - x x(16 - x) = -36

$16x - x^{2} = -36\\x^{2} - 16x - 36 = 0\\$

(x - 18)(x + 2) = 0

x = 18 or x = -2

y = 16 - 18 = -2

y = 16 -(- 2) = 16 + 2 - 18

The two numbers are 18 and -2

3 0

3 years ago

Given that<br> a = 2,5= 2 and C = -1<br> work out<br> 2b – 3ac

poizon [28]

Step-by-step explanation:

2b-3ac

=2×2-3×2×(-1)

= 4+6

=10

6 0

3 years ago

What is the d value in the following arithmetic sequence? -7, -2, 3, 8, …

gizmo_the_mogwai [7]

Answer:

Step-by-step explanation:

You add five to -7 you get -2 add five to -2 you get 3 and so on.

4 0

3 years ago

Read 2 more answers

Arrange these functions from the greatest to the least value based on the average rate of change in the specified interval.

Romashka [77]

By definition, the average change of rate is given by:
$AVR = \frac{f(x2)-f(x1)}{x2-x1}$
We will calculate AVR for each of the functions.
We have then:

f(x) = x^2 + 3x interval: [-2, 3]:
$f(-2) = x^2 + 3x = (-2)^2 + 3(-2) = 4 - 6 = -2

f(3) = x^2 + 3x = (3)^2 + 3(3) = 9 + 9 = 18$
$AVR = \frac{-2-18}{-2-3}$
$AVR = \frac{-20}{-5}$
$AVR = 4$

f(x) = 3x - 8 interval: [4, 5]:
$f(4) = 3(4) - 8 = 12 - 8 = 4 f(5) = 3(5) - 8 = 15 - 8 = 7$
$AVR = \frac{7-4}{5-4}$
$AVR = \frac{3}{1}$
$AVR = 3$

f(x) = x^2 - 2x interval: [-3, 4]
$f(-3) = (-3)^2 - 2(-3) = 9 + 6 = 15

f(4) = (4)^2 - 2(4) = 16 - 8 = 8$
$AVR = \frac{8-15}{4+3}$
$AVR = \frac{-7}{7}$
$AVR = -1$

f(x) = x^2 - 5 interval: [-1, 1]
$f(-1) = (-1)^2 - 5 = 1 - 5 = -4

f(1) = (1)^2 - 5 = 1 - 5 = -4$
$AVR = \frac{-4+4}{1+1}$
$AVR = \frac{0}{2}$
$AVR = 0$

Answer:
these functions from the greatest to the least value based on the average rate of change are:
f(x) = x^2 + 3x
f(x) = 3x - 8
f(x) = x^2 - 5
f(x) = x^2 - 2x

5 0

3 years ago

PLEASE HURRY!!!!!! WILL MARK BRAINLIEST TO FIRST ANSWER!!!!!!

Alika [10]

Answer:

Step-by-step explanation:

4 0

2 years ago