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2 years ago

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Mathematics

1 answer:

WITCHER [35]2 years ago

7 0

(1/4ab)^-2

Remove negative exponent by rewritten the equation as (4ab)^2

AUse Product rule to get:

4^2a^2b^2

Now raise 4 to the second power to get:

16a^2b^2

The last answer is correct.

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Simplify (0.6x^4)(0.2x^6)

Eduardwww [97]

(0.6x^4)(0.2x^6)

=0.6x^4*0.2x^6
=0.6*x^4*0.2*x^6
=(0.6*0.2)*(x^4*x^6)
=0.12*x^10
=0.12x^10

5 0

2 years ago

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A population of insects grows exponentially, as shown in the table. Suppose the increase in population continues at the same rat

Yuki888 [10]

A population of insects grows exponentially, as shown in the table. Suppose the increase in population continues at the same rate.

from the given table

when x=0 , y=20

when x= 1 , y = 30

We use this information to find exponential growth equation

General form of exponential growth is

$y=a(b)^x$

WE plug in the given values and find out value of a and b

when x=0 , y=20

$20=a(b)^0$

20 = a

Now we find out b

when x= 1 , y = 30

$30=20(b)^1$

divide both sides by 20

$\frac{3}{2} = b$

So exponential function becomes

$y=20(\frac{3}{2})^x$

Now we find the insect population at the end of week 11

We plug in 11 for x

$y=20(\frac{3}{2})^x$

$y=20(\frac{3}{2})^11= 1729.951171875$

Round the answer to nearest whole number

1730 is the insect population at the end of week 11

5 0

3 years ago

the band members sold 316 juice drinks for a fundraiser. they sold 52 more grape drinks than strawberry drinks. how many of each

Delvig [45]

S+g=316 "s"=strawberry "g"=grape
g=52+s

plug in for "g" to find "s"
s+(52+s)=316
2s+52=316
2s=316-52
2s=264
s=264/2
s=132

find "g"
g=52+132
g=184

4 0

3 years ago

Read 2 more answers

To solve the problem I need the answer

velikii [3]

Find what is x.
the total interior angle of the triangle is 180 degrees

you can use this formula (n-2)180, n is the number of sides of the shape
find what is x:
180-37-22=121
use the sin rule whereby,
(sin 121)/4.357=(sin 22)/a
(sin 121)a=( 4.356 ×(sin22) )
a= (4.356× sin22) /(sin 121)

type in the calculator to find what is a.

5 0

3 years ago

A student needs to make a circular cardboard piece with an area between 154 square inches and 616 square inches. The function f(

Nezavi [6.7K]

The area of the circle by definition is given by:
$f (r) = \pi * r ^ 2
$
For f (r) = 154:
$154 = \pi * r ^ 2
$
Clearing r we have:
$r ^ 2 = 154 / 3.14

 r = \sqrt{154/3.14} 

 r = 7$
For f (r) = 616:
$616 = \pi * r ^ 2$
Clearing r we have:
$r ^ 2 = 616 / 3.14 r = \sqrt{616/3.14} r = 14$
Answer:
a reasonable domain for f (r) is:
7 <r <14

3 0

2 years ago