Select the two pairs of figures that are similar.

Answer:

Yes, his collection will be complete by the time his grandfather visits

Step-by-step explanation:

Here, we want to know if his collection would be complete by the time his grandfather visits.

From the question;

he has collected 13 different quarters in 2.25 months

At the same rate, x different quarters will be collected in 9 months

Thus, mathematically;

x * 2.25 = 13 * 9

x = (13 * 9)/2.25 = 52

Thus, at this rate he would have collected 52 quarters in 9 months.

Since he has only 50 to collect, it means his collection would be complete by the time his grandfather visits

Answer:

Step-by-step explanation:

If one cleaning company's cost can be calculated by the expression 75 + 50x, where x is the amount of hours they spend cleaning and another cleaning company's cost can be calculated using the expression 50 + 75x, then to calculate how long each company will have to clean to cost the same amount, we will equate both expression of the company cost and solve for x as shown;

On equating:

75 + 50x,  =  75x + 50

collect like terms'

50x-75x = 50-75

-25x = -25

divide both sides by -25

-25x/-25 = -25/-25

x = 1

hence the number of hours each company will have to clean to cost the same amount is 1 hour

Answer:

ITS A

Step-by-step explanation:

The number line that will represent the absolute value will be-

the distance from negative 3 to 0 is labeled 3.

The absolute value of a number is the magnitude of number. Absolute value describes the distance from zero that a number is on the number line, without considering direction.

We have a graph represents the absolute value of –3.

For a number [x], such that [x] < 0, the absolute value would be -

v[a] = -x

So, for x = -3, the absolute value would be 3.

The number line that will represent the absolute value will be -

The distance from negative 3 to 0 is labeled 3.

Therefore, the number line that will represent the absolute value will be-

the distance from negative 3 to 0 is labeled 3.

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Answer:

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

[tex] {b}^{2} = {c}^{2} - {a}^{2} [/tex]

[tex] {b}^{2} = {26}^{2} - {10}^{2} [/tex]

[tex] {b}^{2} = 676 - 100[/tex]

[tex] {b}^{2} = 576[/tex]

[tex] \sqrt{ {b}^{2} } = \sqrt{576} [/tex]

[tex]b = 24[/tex]

p = 10+10 +24+24

p= 68

Answer:

382.99

Step-by-step explanation:

Answer:

QT = 21

Step-by-step explanation:

Because the left section is technically just a extension of the right triangle, the two triangles (PRQ and SRT) are similar, so the ratio between the sides will be similar as well.

The small triangle (SRT) has a ratio of 8/7 between its top side SR (40) and its bottom side TR (35). This means that the top and bottom side of the triangle PRQ will have the same ratio, and since we already known PR (24+40), we can write an equation to solve for QR:

[tex]\frac{SR}{TR} =\frac{PR}{QR} \\\\\\frac{40}{35}=\frac{64}{?}[/tex]

[tex]\frac{8}{7} =\frac{64}{?}[/tex]

64/8=8

This means so get our unknow length, we will need to multiply 7 by 8.

7*8=56

[tex]\frac{8}{7} =\frac{64}{56}[/tex]

This means that the side QR is 56, and since we know TR is 35, we simply need to subtract 35 from 56 to find QT: 56-35= 21

PS and QT also have the same ratio: 24/21 = 8/7 so we know that this is correct.

Hope this helped!

The value of r is 8 for the points to have a slope of -4.

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope of the line is also defined as the ratio of the rise and the run.

The slope is calculated by the formula below,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that the points are (5, 9) and (r, –3) and the slope is -4. The value of the unknown number will be calculated as,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

-4 = ( -3 - 9) / ( r - 5 )

-4r + 20 = -12

-4r = -32

r = 32 / 4

r = 8

Therefore, the value of r is 8 for the points to have a slope of -4.

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Answer:

7=7

Step-by-step explanation:

Answer:

X^2+11x+28

Step-by-step explanation:

FOIL = First, Outer, Inner, Last

First: x times x= x^2

Outer: x times 7= 7x

Inner: 4 times x= 4x

Last: 4 times 7= 28

Since outer and inner are both positive you would add togther. Therefore answer is x^2+11x+28

Answer:

16$

Step-by-step explanation:

$64/40packs=$1.6 per pack

1.6 × 10 packs =16$

Answer:

C. y=(x+6)^2-9

Hope this helps!

Answer:

(2x-4) + 10

Step-by-step explanation:

Answer:

(12 + 22 - 6) - 14 - 22 = ?

Step-by-step explanation:

Since it's in parenthesis, you must do 12 + 22 - 6 first. that will get you to:

28

now that you have found that answer, you can do the rest like this:

28 - 14 - 22

once you do that, you will have a finishing answer of:

-8

Answer: (2,1) (1,3)

Step-by-step explanation:

Answer:

Its C and E

Step-by-step explanation:

I got it right

Answer:

The correct options are;

3) f(1/2·x)

5) f(2/3·x)

Step-by-step explanation:

The given parameter is presented here as follows;

f(x) = x

Therefore;

f(x) = y = x

Comparing with the general equation for a straight line, y = m·x + c, we have;

For y = x, m = 1

∴ The slope = 1

1) For f(3/2·x) = y = 3/2·x, the slope, m = 3/2 which is a steeper slope than m=1  and therefore a has more increase in y than in x values or has a vertical stretch rather than a horizontal stretch

2) For f(x + 2) = y = x + 2, the slope, m = 1 which gives an equal slope of m = 1 to the slope in the question, f(x) = x, resulting in no change in stretch

3) For f(1/2·x) = y = 1/2·x, the slope, m = 1/2 which is a gentler slope slope than m=1  as y increase half unit, for each unit increase in x and the function is horizontally stretched

4) For f(x - 3/2) = y = x - 3/2, the slope, m = 1 which gives an equal slope of m = 1 to the slope in the question, f(x) = x, resulting in no change in stretch

5) For f(2/3·x) = y = 2/3·x, the slope, m = 2/3 which is a gentler slope slope than m = 1  as y increase 2/3 unit, for each unit increase in x and the function is horizontally stretched.

Answer:

C, F

Step-by-step explanation:

i took the questions

Answer:

I think this could be the answer- x^ +2x-15

Answer: x=[tex]\frac{U}{(k-1)}[/tex]

Step-by-step explanation:

Isolate x from xk-x that is, factorize x and you have U=x(k-1)

Then divide both sides with (k-1) and you get [tex]x=\frac{U}{(k-1)}[/tex]

Answer:

the range is 7 the domain is 550

Step-by-step explanation:

I took the test. and also its simple math. multiplay the semtac by the range! Mark as brain list!

Answer: 5

Step-by-step explanation:

Answer: 32600

Step-by-step explanation:

3.26x10^4   evaluate the power

3.26x10000  multiply the numbers

ANSWER 32600

Answer:

it is the same as a. 10/4 as b/9. then you cross multiply and you will get b. it is just like a, just with 9 instead of 15 and flipped around

Answer:

16:1

Step-by-step explanation:

16:1 because 16 pages per day

Answer:

The answer is 2 which means A

Answer: NO

Step-by-step explanation: if the two lines intersect none of the points should be parrelle.

Answer:

No

Step-by-step explanation:

Parrallel means nothing touches it and it is at the same angle as the second line. You already say they touch so No.

Answer: 2⁻²

Step-by-step explanation:

probably

Using a linear function, it is found that:

--------------------------------

A linear function modeling the height after t seconds has the following format:

[tex]h(t) = at + h(0)[/tex]

In which:

[tex]h(t) = -4.8t + 13[/tex]

Thus:

[tex]h(t) = -4.8t + 13[/tex]

[tex]1 = -4.8t + 13[/tex]

[tex]-4.8t + 13 = 1[/tex]

[tex]4.8t = 12[/tex]

[tex]t = \frac{12}{4.8}[/tex]

[tex]t = 2.5[/tex]

It takes 2.5 seconds for the acorn to be 1 foot above the ground.

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