Factor the polynomial 3x – 75

Answer:

[tex]\sqrt{a^{6} *a}[/tex]

Step-by-step explanation:

when multiplying exponents, as long as the base is the same, you add the power. [tex]a^{6}*a^1=a^(6+1)=a^7[/tex]

Using it's concept, it is found that the period of the function graphed is of 2.244 seconds.

The period of a function is given by the distance between it's repetitions.

In this graph, one example is that the value of 6 repeats at t = 1.87 and at t = 4.114, hence the period in seconds is given by:

P = 4.114 - 1.87 = 2.224.

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Answer: E ; (0,12) , (9,0)

Explanation: To find coordinates by a scale factor is by multiplying.
What we need to do is to multiply the coordinate points by the scale factor.

Find A' is use A 's coordinate.  A 's coordinates are (0,4)
3 x 0 = 0
3 x 4 = 12

A' coordinates are : (0,12)

Using the same technique with C'.
3 x 3 = 9
3 x 0 = 0

C' coordinates are : (9,0)

Answer:

a. 10 - [tex]\frac{2}{5}[/tex] = [tex]9\frac{3}{5}[/tex] or 9.6

b. 25 - [tex]\frac{3}{25}[/tex]= [tex]24 \frac{22}{25}[/tex] or 24.88

c. 105-[tex]\frac{84}{84}[/tex] = 104.0

d. 170 - [tex]\frac{125}{125}[/tex] = 169.0

Answer:

84

Step-by-step explanation:

There are 12 inches in a foot. We have 7 feet. To find how many inches it is, all we do is multiply 7 by 12, which if we do, we get 84.

Hope this helps!

Answer:

84

Step-by-step explanation:

Answer:

320

Step-by-step explanation:

563/7.4=76

76*4.2=320

The quadrilateral A and quadrilateral B are similar but not congruent. Then the correct option is A.

Any closed figure made by 4 line segments joined end to end in a series is called a quadrilateral.

If a polygon is four-sided (a quadrilateral), the sum of its angles is 360°

The figure below shows three quadrilaterals A, B, and C on a coordinate grid.

Then the quadrilateral A and quadrilateral C are similar and congruent too.

The quadrilateral A and quadrilateral B are similar but not congruent.

Similarly, the quadrilateral C and quadrilateral B are similar but not congruent.

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Answer:

The distance is 1.41 to nearest hundredth.

Step-by-step explanation:

The line y = x + 3 passes through the point (0, 3) on the yaxis.

Find the perpendicular line passing through this point:

y  - 3 = -1(x + 0)

y = -x + 3

Now find the point where this line intersects the line y = x + 1:

y = -x + 3

y = x + 1

-x + 3 = x  + 1

3 -1 = x + x

2x = 2

x = 1

and y = 2

So this point is (1, 2)

We require the distance between this point and (0, 3)

This = √((3-2)^2 + (0-1)^2) = √2

= 1.4142

Answer:

10 ft to nearest foot.

Step-by-step explanation:

We use the Pythagoras theorem:

12^2 = 6^2 + h^2    where h is the height on the barn

h^2 = 12^2 - 6^2

h^2 = 144 - 36 = 102

h= √108 = 10.39

Notice that

1/6 - 1/4 = -1/12

Then

cos(-π/12) = cos(π/6 - π/4)

cos(-π/12) = cos(π/6) cos(π/4) + sin(π/6) sin(π/4)

cos(-π/12) = (√3/2) (1/√2) + (1/2) (1/√2)

cos(-π/12) = (√6 + √2)/4

Answer:

A or B ( if it is multiple choice as B is the answer to A)

Answer:

C and E

Step-by-step explanation:

C and E are both equal to (2^3)^4

Answer:

To find Rita's rate per hour, all you have to do is divide 48/6 which 8. This means that Rita reads 8 books per hour

Step-by-step explanation:

=======================================================

Explanation:

R = red apple

G = green apple

The best case scenario is when Leyan picks 3 red apples in a row (or 3 green apples in a row). So either RRR or GGG. However, she might not be so lucky.

We have to consider the opposite side of the spectrum and consider the worst case scenario.

Consider the case of alternating colors. If she selects four apples and the colors alternate, then she might have something like RGRG. There are two of each color so far.

Whatever she picks next will mean she has 3 of the same color. So it could be RGRGR or RGRGG. Therefore, she must select 5 apples to guarantee she has at least 3 of the same color.

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

Extra info (optional section)

If you are curious about how many apples are needed to guarantee she has 3 of both colors, then she would have to select 13 apples.

Why? Let's say she has really bad luck and selects 10 red apples in a row. The 3 extra selections are guaranteed to be green.

Answer:

Constant of Proportionality is k = y/x

Step-by-step explanation:

k = 0.5/1 = 0.5

Answer:

k = 0.5

Step-by-step explanation:

the constant of proportionality is the slope of the line

using the point (1, 0.5 ) , then

k = [tex]\frac{y}{x}[/tex] = [tex]\frac{0.5}{1}[/tex] = 0.5

Answer:

Step-by-step explanation:

An ERRAND is a chore, but it is not a game and A CONNECTION is a bond, but it is not a separation.

An ERRAND is a chore, but it is not a game.

The correct vocabulary word from each drop-down menu that correctly complete the first sentences is errand.

A CONNECTION is a bond, but it is not a separation

The correct vocabulary word from each drop-down menu that correctly complete the second sentences is connection.

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Answer:

NOT: Actually paying the one with the highest interest rate is logically the right thing to do, because you can shorten the amount that you spent on interest or charges by month, but paying off the lowest outstanding balance credit card first makes sense if you could transfer the interest balance which is the highest ...

Step-by-step explanation:

Answer:

Pay at least the minimum payment on all credit cards each month to avoid penalties. After that, work toward paying off the debt on the card with the highest interest rate. While some advocate for paying off your smallest debt first because it seems easier, you’ll save more on interest over time by chipping away at high-interest debt.

Step-by-step explanation:

100% on edge

Answer:

If it went up it would be: 50596.35 and if it went down it would be: 7556.66

Step-by-step explanation:

Here will be the function if it went up:

20000(1+0.0475)^20

Here’s if it went down:

20000(1-0.0475)^20

Answer:

B.

Step-by-step explanation:

[tex]x^2 - 16x - 64 = 0[/tex]

[tex](x-8)^2 = 128[/tex]

[tex]x = 8 + \sqrt{128}[/tex]

or

[tex]x=8-\sqrt{128}[/tex]

so x = 19.3

or x = 3.3

Using the confidence interval, it is found that the correct conclusion regarding the hypotheses test is given by:

Reject H0. There is convincing evidence that this individual’s true mean heart rate while working out differs from 150.

At the null hypotheses, it is tested if the mean is of 150, that is:

[tex]H_0: \mu = 150[/tex]

At the alternative hypotheses, it is tested if the mean is different of 150, hence:

[tex]H_0: \mu \neq 150[/tex].

The confidence interval is (158, 167). Since it does not contain 150, we reject the null hypotheses, hence the correct option is:

Reject H0. There is convincing evidence that this individual’s true mean heart rate while working out differs from 150.

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[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

                The side length of an equilateral triangle is 5 cm. Find its perimeter.

[tex]\dashrightarrow\large\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

We are given that the triangle is equilateral.

"equi" means "equal" and "lateral" means "sides"

✯ So an equilateral triangle has 3 equal sides.

We are also given that one side is equal to 5 cm.

If one side is equal to  5 cm, and the triangle's equilateral, then the other two sides are equal to 5 cm.

◈ In order to find the perimeter of a shape, you should add all of its side lengths together.

✯ Now, we need to find the perimeter, which we can find using the following formula:-

[tex]\bold{Perimeter_{(triangle)}=a+b+c}[/tex]

Now, we add them:-

[tex]\hookrightarrow\sf{P=5+5+5}[/tex]

So we conclude that the perimeter is equal to:-

[tex]\hookrightarrow\sf{P=15\:cm}[/tex]

[tex]\rule{300}{1}[/tex]

The length of the arc with a central angle of 285 degrees and a radius of 5 meters is 24.9 meters

The given parameters are:

The length of the arc is calculated using:

[tex]L = \frac{\theta}{360} * 2\pi r[/tex]

So, we have:

L = 285/360 * 2 * 3.14 * 5

Evaluate

L = 24.9

Hence, the length of the arc is 24.9 meters

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Answer:

20°

Step-by-step explanation:

Solution,

Here,

→(x+20°)+160°=180°[Sum of a straight line is 180°]

→x=180°-180°

→x=0°

Again,

→x+20°

→0°+20°

→20°

Answer:

I have the same problem as you and it told me that it’s 40

Step-by-step explanation:

[tex](3^{-2})^4 = 3^{-2 \times 4} = 3^{-8} = \dfrac 1{3^8}\\\\\text{Hence the answer is D.}[/tex]

Answer:

1/3^8

Step-by-step explanation:

[tex]\hookrightarrow (3^{-2} )^{4} \\[/tex]

As,

x⁻²=1/x²

Then,

[tex]\hookrightarrow (\frac{1}{3^{2} } )^{4} \\\\\hookrightarrow (\frac{1}{9} )^{4} \\\\\hookrightarrow ((\frac{1}{3} )^{2})^{4} \\\\\hookrightarrow (\frac{1}{3})^{8}[/tex]

Answer:

Step-by-step explanation:

(-1, 1)  (1, -3)

(-3 - 1)/(1 + 1)= -4/2 = -2

y - 1 = -2(x + 1)

y - 1 = -2x - 2

y = -2x - 1

answer is A

Answer:

$310.05

Step-by-step explanation:

Method 1: Find the amount of 22% discount and subtract from original price, and find the amount of 6% tax and add to discounted price.

Original price: $375

Discount of 22%

22% of $375 = 0.22 × $375 = $82.50

Price after discount (but before tax): $375 - $82.50 = $292.50

Sales tax of 6%

6% of $292.50 = 0.06 × $292.50 = $17.55

Price after discount and tax: $292.50 + $17.55 = $310.05

Method 2: Add and subtract the discount percent and the tax percent first, then multiply.

Original price: $375

The discount is 22%.

The original price is 100%.

Subtract 22% from 100%: 100% - 22% = 78%

The discounted price is 78% of the original price.

Once you have the discounted price, tax is 6%.

The new discounted price is 100%. Add 6% to get 106%.

The price with tax is 106% of the discounted price.

106% of 78% of $375 = 1.06 × 0.78 × $375 = $310.05

Answer: $310.05