9.
Which of these is equal to {2 - 31}{21 +4}?

Using an exponential function, it is found that f(5.5) = 19.8.

An exponential function is a function in which the growth rate is a percentage, modeled by:

[tex]y = ab^x[/tex]

In which:

f(3.5) = 25 means that:

[tex]ab^{3.5} = 25[/tex]

[tex]a = \frac{25}{b^{3.5}}[/tex]

f(8.5) = 14 means that:

[tex]ab^{8.5} = 14[/tex]

Hence:

[tex]\frac{25}{b^{3.5}} \times b^{8.5} = 14[/tex]

[tex]25b^5 = 14[/tex]

[tex]b = \sqrt[5]{\frac{14}{25}}[/tex]

[tex]b = 0.89[/tex]

[tex]a = \frac{25}{0.89^{3.5}} = 37.59[/tex]

Hence, the function is given by:

[tex]y = 37.59(0.89)^x[/tex]

Then, when x = 5.5:

[tex]f(5.5) = 37.59(0.89)^{5.5} = 19.8[/tex]

More can be learned about exponential functions at https://brainly.com/question/25537936

Answer:

Step-by-step explanation:

19.83

Answer:

A and C

Step-by-step explanation:

Lawson: 5x3=15

Rhett: 4x4=16

Wynn: 5x3=15

Answer:

A

Step-by-step explanation:

tank 2 goes down by a constant difference : -40

[tex]Answer:[/tex]

The line stops at 100/900.

Hope this helps, have a great day! ♣

Step-by-step explanation:

500 hundred students attend McCord Middle School.

Answer:

the answer is C: 500 students

Step-by-step explanation:

Answer:

36.8%

Step-by-step explanation:

formula to find percent increase: (|old-new|)/old *100

|95-130|/95 *100

36.8%

Answer:

a = 1875

Step-by-step explanation:

Sum of geometric series formula:

[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]

Geometric series formula:

[tex]a_n=ar^{n-1}[/tex]

Given:

[tex]\implies 120=a(0.4)^{n-1}[/tex]

[tex]\implies a=\dfrac{120}{(0.4)^{n-1}}[/tex]

[tex]\implies 3045=\dfrac{a(1-0.4^n)}{1-0.4}[/tex]

[tex]\implies 3045=\dfrac{a(1-0.4^n)}{0.6}[/tex]

[tex]\implies 1827=a(1-0.4^n)[/tex]

[tex]\implies a=\dfrac{1827}{1-0.4^n}[/tex]

Equate equations for a:

[tex]\implies \dfrac{120}{(0.4)^{n-1}}=\dfrac{1827}{1-0.4^n}[/tex]

Apply exponent rule [tex]a^{b-c}=\dfrac{a^b}{a^c}[/tex]

[tex]\implies \dfrac{120}{\frac{0.4^n}{0.4^1}}=\dfrac{1827}{1-0.4^n}[/tex]

[tex]\implies \dfrac{48}{0.4^n}=\dfrac{1827}{1-0.4^n}[/tex]

[tex]\implies 48(1-0.4^n)=1827(0.4^n)[/tex]

[tex]\implies 48-48(0.4^n)=1827(0.4^n)[/tex]

[tex]\implies 48=1875(0.4^n)[/tex]

[tex]\implies 0.4^n=\dfrac{48}{1875}[/tex]

[tex]\implies 0.4^n=0.0256[/tex]

Taking natural logs:

[tex]\implies \ln0.4^n=\ln0.0256[/tex]

[tex]\implies n\ln0.4=\ln0.0256[/tex]

[tex]\implies n=\dfrac{\ln0.0256}{\ln0.4}[/tex]

[tex]\implies n=4[/tex]

Substituting found value for n into one of the equations and solving for a:

[tex]\implies a=\dfrac{120}{(0.4)^{4-1}}[/tex]

[tex]\implies a=\dfrac{120}{0.4^3}[/tex]

[tex]\implies a=\dfrac{120}{0.064}[/tex]

[tex]\implies a=1875[/tex]

After the dilation, the lengths are multiplied by the value of the scale factor while the angles remain same.

Given is to find how dilation affect the side lengths and angle measures of a figure

Assume that the initial length of the figure

After the dilation, the coordinates will become -

(x, y) → (Kx, Ky)

Where {K} is the scale factor by which the image is dilated.

The angles after the dilation remain same.

Therefore, after the dilation, the lengths are multiplied by the value of the scale factor while the angles remain same.

To solve more questions on dilation, visit the link below -

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18

RS = BC

19

angle A = angle Q

20

                                       real              blueprint

we know                           45                     9                       width

we're looking for              70                     n

45 x n = 70x 9

n = 630 : 45 = 14

=> 14 in

#18

Just observe the naming you can answer without seeing the diagram even

∆ABC~∆QRS

Option D.

#19

Option B

#20

Let that be x

[tex]\\ \tt\hookrightarrow \dfrac{45}{70}=\dfrac{9}{x}[/tex]

[tex]\\ \tt\hookrightarrow \dfrac{9}{14}=\dfrac{9}{x}[/tex]

[tex]\\ \tt\hookrightarrow x=14in[/tex]

Option D

Answer:

[tex](x^2)^\frac{1}{3}[/tex]

Step-by-step explanation:

1). [tex]\sqrt[n]{x}[/tex] = [tex]x^\frac{1}{n}[/tex]

The expression which is equivalent to (2³)^-5 is; 1/(2)^15.

By the law of indices, it follows that exponents as that given in the task content can be evaluated as follows;

(2³)^-5

= (2) ^(3×-5)

= 2 ^(-15)

Hence, the expression can be rewritten as; 1/(2)^15.

Read more on indices;

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Answer:

a

Step-by-step explanation:

i did the test

Answer:

should be 4x+5*(-3)^x

Step-by-step explanation:

Multiplying two neg equals a positive

any expression multiplied by 1 stays the same

use commutative property to reorder the terms

Answer:

-60

Step-by-step explanation:

Yeah, of course!.

Step one: Breaking the problem into different problems is probably the best!

Step two: 4× (-1) is simple multiplication, any number multiplied by 1 is always the number. 4 multiplied by 1 is always 4, but there is a negative sign in front of the 1, so that means we have to go into the positive an negative rules, final answer is 4 for that step.

Then were going to ignore the multiplication sign for now.

Step three: (-3) times (-5) is 15 but we have to look at the rules of positives and negatives, a negative plus a negative is a positive. So its 15.

Step four: Multiply the two answers (4 times 15) is 60. Now were going to add our negative sign because a positive plus a positive number is a negative.

Hope this helped! :)

a os is correct.....,,..................

Answer:

The negative signs were switched. This is the answer.

Answer:

hello

7 + 4 = 11

arun = 66 x 7/11 = 42

vikasin = 66 x 4/11 = 24

Step-by-step explanation:

Answer:

there were rivalries between African leaders.

Step-by-step explanation:

Answer:

d. number of students wearing blue shirts

Answer:

2.3

Step-by-step explanation:

The point on a number line is the location of the point.

The points are given as:

x = 10 and x = 0

This means that we mark a point at the point 10 on the number line, and another point at the point 0 on the same number line

However, the point 0 would come before point 10 because 0 is less than 10

See attachment for the number line

Read more about number lines at:

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Answer:

45

Step-by-step explanation:

B. Square

There are numerous different types of squares in the world. A parallelogram with four congruent sides and four right angles is called a quadrilateral. There are two sets of parallel sides and four right angles in a square, so it is also a rectangle. Because the sides of a square are parallel, it is also a parallelogram.

D. I and IV

[tex]The\ statement\ is\ always\ true\ is\\ I\ All\ square\ is\ a\ rectanjile\ and\ IV\ Any\ two\ opposite\\ -sides\ of\ a\ perallelogran\ are\ parallel[/tex]

[tex]So\ Chase\ D[/tex]

{[tex]{A\ souare\ is\ a\ special\ rectangle[/tex]

B. 500 cm²

Calculate area of the rectangle:

[tex]\curvearrowleft\\ area=500[/tex]

I hope this helps you

:)

Answer:

45

Step-by-step explanation:

To find area, it's length * width. the length is 5 and the width is 9, so you would do 5*9=45

4 x 8,99 x 1,07 = £38,48

Answer:

Step-by-step explanation:

Sum of interior adjacent angle is 180 degrees.

Given  

m∠BNR=12w-19,

m∠RNA= ¼(w+199)

m∠BNA=2(12w-19).

Substitute

m∠BNR+m∠RNA=

¼(w+199)+12w-19, = 2(12w-19).

W+796+48W-76 = 96W-152

49W-96W = -152+76-796

-47W = 872

W = 872/47

W = 18.55

Answer:

$1920

Step-by-step explanation:

12800 X 0.15 = 1920

Answer:

..........

Step-by-step explanation:

Answer:

The answer is 13.57m^2

Step-by-step explanation:

On Edmentum I got it right.

Answer:

1200

Step-by-step explanation: