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2 years ago

100 point question. I attached a screenshot of the problem.

Mathematics

2 answers:

scoundrel [369]2 years ago

7 0

Answer:

x1=-1 ,x2=1

Step-by-step explanation:

Sati [7]2 years ago

3 0

Answer:

Express the given function h as a composition of two functions f and g so that h (x )equals (f circle g )(x )commah(x)=(f g)(x), where one of the functions is 4 x minus 3.4x−3. h (x )equals (4 x minus 3 )Superscript 8h(x)=(4x−3)8 f (x )f(x)equals=4 x minus 3. See answer. zalinskyerin2976 is waiting for your help.

Step-by-step explanation:

this what f ;|

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Identify the median for the data of Johnny’s test scores: 92, 96, 97, 83, 92, 58, 93, 88, 77, 48, 65, 80, 71

Anastasy [175]

Answer

The median is 83

Step-by-step explanation:

You must put the scores in order to find median.

48, 58, 65, 71, 77, 80, 83, 88, 92, 92, 93, 96, 97

Then you find the number that is in the exact middle of the list.

In this case the median (middle number) is 83

4 0

3 years ago

40, 10, 5/2 5/8... (fractions) is it arithmetic or geometric and what are the next two terms PLZ HELP DUE IN 10 MINS

patriot [66]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the sequence

$40,\:10,\:\frac{5}{2},\:\frac{5}{8}$

A geometric sequence has a constant ratio 'r' and is defined by

$\:a_n=a_0\cdot r^{n-1}$

Computing the ratios of all the adjacent terms

$\frac{10}{40}=\frac{1}{4},\:\quad \frac{\frac{5}{2}}{10}=\frac{1}{4},\:\quad \frac{\frac{5}{8}}{\frac{5}{2}}=\frac{1}{4}$

The ratio of all the adjacent terms is the same and equal to

$r=\frac{1}{4}$

Thus, the given sequence is a geometric sequence.

As the first element of the sequence is

$a_1=40$

Therefore, the nth term is calculated as

$\:a_n=a_0\cdot r^{n-1}$

$a_n=40\left(\frac{1}{4}\right)^{n-1}$

Put n = 5 to find the next term

$a_5=40\left(\frac{1}{4}\right)^{5-1}$

$a_5=40\cdot \frac{1}{4^4}$

$a_5=\frac{40}{4^4}$

$=\frac{2^3\cdot \:5}{2^8}$

$a_5=\frac{5}{2^5}$

$a_5=\frac{5}{32}$

now, Put n = 6 to find the 6th term

$a_6=40\left(\frac{1}{4}\right)^{6-1}$

$a_6=40\cdot \frac{1}{4^5}$

$a_6=\frac{40}{4^5}$

$=\frac{2^3\cdot \:5}{2^{10}}$

$a_6=\frac{5}{2^7}$

$a_6=\frac{5}{128}$

Thus, the next two terms of the sequence 40, 10, 5/2, 5/8... is:

$a_5=\frac{5}{32}$

$a_6=\frac{5}{128}$

7 0

3 years ago

I begin the billing cycle with a $4,000 balance on my credit card. On the 13th day I pay off

IRISSAK [1]

$2,900 you have to subtract from the $4,000 and it is $1,100 you have left

3 0

2 years ago

What is not a description of slope?

Gelneren [198K]

Answer:

Option (d) is wrong.

Step-by-step explanation:

Slope is:

rise over run
The rate of change of a line
Change in y over the change in x
<em><u>The ratio of vertical change to the horizontal change. </u></em>

It can be given by mathematically as follows :

$m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{and}\\\\m=\dfrac{dy}{dx}$

Hence, the option which is not a description of slope is (d) "the ratio of horizontal change compared to vertical change"

7 0

3 years ago

The main show tank has a radius of 60 feet and forms a quarter sphere where the bottom of the pool is spherical and the top of t

svetlana [45]

The given radius is = 60 feet

The volume of the sphere is given by = $\frac{4}{3} \pi r^{3}$

So we will find the volume of the sphere using radius as 60 and pi as 3.14

Volume = $\frac{4}{3}*3.14*60*60*60$ = 902059.20 cubic feet

As quarter of anything is defined as its one-fourth part, so here the volume of the quarter of sphere can be calculated by finding one fourth of the calculated volume.

So volume of quarter sphere = $\frac{902059.20}{4}$

= 225514.80 cubic feet

And rounding this to nearest whole number we get 225515 cubic feet as the answer.

3 0

3 years ago