According to the fundamental theorem of algebra which polynomial function has exactly 8 roots

Answer:

5 cm and 12 cm

Step-by-step explanation:

Calculate the unknown side h using Pythagoras' identity.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

h² = 3² + 4² = 9 + 16 = 25 ( take the square root of both sides )

h = [tex]\sqrt{25}[/tex] = 5 cm

The perimeter is the sum of the 3 sides, thus

perimeter = 3 + 4 + 5 = 12 cm

Answer:

Step-by-step explanation:

[tex]3\sqrt2=\sqrt{3^2\cdot2}=\sqrt{18}\\\\2\sqrt3=\sqrt{2^2\cdot3}=\sqrt{12}\\\\18>17>15>14>13>12\ \implies\ 3\sqrt2>\sqrt{17}>\sqrt{15}>\sqrt{14}>\sqrt{13}>2\sqrt{3}[/tex]

{√16 = 4 is rational}

Answer:

a = 1/5 b

Step-by-step explanation:

A direct variation is given by

a = k*b where k is the constant of variation

3 = k* 15

Divide each side by 15

3/15 = k*15/15

1/5 = k

a = 1/5 b

Answer:

a = 1/5 b

Step-by-step explanation:

Answer:

603.2

Step-by-step explanation:

V=πr^2h

V=π(4)^2(12)

V=π(4)^2(12)

V=603.1857895

Answer:

If the ratio of edge lengths is 3:5, I'm going to assume that the perimeters are going with the same ratio.

Therefore, the ratio would be 345:575.

Hope this is right and helps :)

Answer:

A

Step-by-step explanation:

Every input (x value) can have only ONE ouput (y value) to be a function, y- values can be repeated but x- values cannot

Hope that helps

Answer:

Option (1)

Step-by-step explanation:

This question is incomplete; find the complete question in the attachment.

Given table represents a linear function.

Two ordered pairs given in the table (0, 5) and (4, 9) pass through the function .

If the two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] lie on a line,

Slope of the line will be = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope of the linear function represented by the table = [tex]\frac{9-5}{4-0}[/tex]

Therefore, Option (1) will be the correct option.

Answer:

774 km

Step-by-step explanation:

Actual distance

[tex] =\frac{4.3}{100000} \times 18000000 \\ \\ = 4.3 \times 180 \\ = 774 \: km[/tex]

1)

4136 mm = 4136/1000 = 4.136 m = 4.14 m

2)

Since 1 yard = 91.44 cm

Hence, 14.7 yard = 14.7*

91.44 = 1,344.168 cm = 1344 cm

3)

342 inches = 9 yards, 1 ft, 6 inches.

Answer:

4.42

Step-by-step explanation:

Angles A and C are identical because the two circles are similar.

The arc length formula is s = rФ, where r is the radius and Ф is the central angle.

If we know s and r, then the central angle Ф is s/r, or, in this case,

Ф = 8.84/5.

Now let's find the length of the arc EF:  s = rФ becomes:

s = (2.5)(8.84/5) = 4.42

Answer:

sure

Step-by-step explanation:

Answer:

The answer is answer

Step-by-step explanation:

No need for it

Answer:

[tex]128m^{2}[/tex]

Step-by-step explanation:

[tex]A=\frac{1}{2} (\frac{b}{h} )\\A=\frac{1}{2} (\frac{8}{8} )\\A=\frac{1}{2} (64)\\A= 32 m^{2} \\[/tex]

So, the area of 1 triangle is 32m^2.

To find the whole area, you will have to multiply 32 by 4.

Hence, your answer is [tex]128m^{2}[/tex]

Answer:

C. undefined.

Step-by-step explanation:

Find the slope of the line, using the following equation:

m = (y₂ - y₁)/(x₂ - x₁)

Find two points that are located on the line.

Let:

(x₁ , y₁) = (-4 , 0)

(x₂ , y₂) = (-4 , 1)

Plug in the corresponding numbers into the corresponding variables.

m = (1 - 0)/(-4 - (-4))

Note that when you have two negative signs directly next to each other, it becomes an addition:

m = (1)/(-4 + 4) = 1/0

You cannot have a slope of rise 1, run 0, so your answer is undefined.

C. undefined.

~

Answer:

²²⁵/₂  servings or 112 ¹/₂ servings

Step-by-step explanation:

assuming that Jennifer will serve ²/₃ of a pound of ice cream per serving, then the maximum amount of servings that she can make = total pounds of ice cream / individual serving of ice cream

= 75 pounds / (²/₃ pound)

= (75 pounds x 3) / 2 pounds

= ²²⁵/₂  servings or 112 ¹/₂ servings

Answer:

70

Step-by-step explanation:

You have to use ratios.  If 5 of 12 members bought water, then x of 168 members will buy water.

[tex]\frac{5}{12} = \frac{x}{168}\\12x = 840\\x = 70[/tex]

70 members will buy bottled water.

Answer:

(10,24)

Step-by-step explanation:

Well first we plug in y = 3x - 6 for y in y = 2x + 4

3x - 6 = 2x + 4

Then we combine like terms and seperate x.

x - 6 = 4

x = 10.

If x is 10 we plug that in

y = 3(10) - 6

y = 30 -6

y = 24

(10,24)

Answer:

The answer is d

Step-by-step explanation:

0.09

Answer:

[tex]\boxed{\sf D. \ 0.09}[/tex]

Step-by-step explanation:

[tex]\sf y = 0.3^x[/tex]

[tex]\sf Plug \ x \ as \ 2.[/tex]

[tex]\sf y = 0.3^2[/tex]

[tex]\sf y =( \frac{3}{10} )^2[/tex]

[tex]\sf y =\frac{3^2 }{10^2 }[/tex]

[tex]\sf y =\frac{9}{100 }[/tex]

[tex]\sf y =0.09[/tex]

Answer:

can you retype the equation

I think it is not correctly typed

Answer:

The answer to this question can be defined as follows:

Step-by-step explanation:

In this question some information is missing that's why we explain "operating expenses".  

The Operating costs are paid in the business transactions and include property taxes, materials, stock costs, marketing, salary, health coverage, and R&D investments.

Step-by-step explanation:

work is shown and pictured

Answer:

  f(n+1) = f(n) +5

Step-by-step explanation:

Since f(n) is a term, and f(n+1) is the next term, and since the next term is 5 more than the one before, you expect the formula to look like

  f(n+1) = f(n) +5

Answer:

 f(n+1) = f(n) +5

Step-by-step explanation:

Answer:

The amount is $239.43

Step-by-step explanation:

The amount she will earn after 5 years is given by

A= p(1+r/n)^(nt)

P = $200

r = 0.036

n = 12*5 = 60

t = 5

A= 200(1+0.036/60)^(300)

A= 200(1+0.0006)^(300)

A= 200(1.0006)^300

A= 200(1.19715)

A= 239.43

The amount is $239.43

Answer:

She will earn $1,126.32 from interest.

Step-by-step explanation:

I did it on edmentum and this was the right answer

Answer:

The smallest angle is 32 degrees

Step-by-step explanation:

The given parameters show that the triangle is a right angled triangle;

Let the two other angles be represented by x and y;

Since the angle between side 5 cm and side 8 cm is 90, we can represent any of this sides as the opposite and as the adjacent;

Scenario 1 (Calculating x)

Let opposite = 5 cm

Let adjacent = 8 cm

In trigonometry, The relationship between opposite and adjacent is Tangent;

[tex]Tan\ x = \frac{Opposite}{Adjacent}[/tex]

[tex]Tan\ x = \frac{5}{8}[/tex]

[tex]Tan\ x = 0.625[/tex]

Take arctan of both sides

[tex]x = tan^{-1}0.625[/tex]

[tex]x = 32.0053832081[/tex]

[tex]x = 32[/tex] (Approximated)

Scenario 2 (Calculating y)

Let opposite = 8 cm

Let adjacent = 5 cm

In trigonometry, The relationship between opposite and adjacent is Tangent;

[tex]Tan\ y = \frac{Opposite}{Adjacent}[/tex]

[tex]Tan\ y = \frac{8}{5}[/tex]

[tex]Tan\ y = 1.6[/tex]

Take arctan of both sides

[tex]y = tan^{-1}1.6[/tex]

[tex]y = 57.9946167919[/tex]

[tex]y = 58[/tex] (Approximated)

By comparing the angles, the smallest angle is 32 degrees

Hello!

[tex]\boxed{ \bf The~fraction~is~5/100~or~1/20~when~reduced.}[/tex]

There are 100 centimetres in a metre. So, our denominator will be 100.

The numerator is 5 because that is the number of centimetres.

⇒ [tex]\frac{5}{100}[/tex]

This fraction can be reduced, since 5 goes into the denominator evenly.

5 ÷ 5 = 1

100 ÷ 5 = 20

So, our reduced fraction is [tex]\frac{1}{20}[/tex]

Answer:

(-1,-1), (2,1), (5,3)

Step-by-step explanation:

We can use the formula: rise/run to solve x and y. Since we know the slope is 2/3, 2 will be rise (going up on y axis), and 3 will be run (moving right on x axis).

We are given the point, (2,1) which we can use to find the 2 points that are needed. By using rise/run, we can find the highest point which is (5,3)

How to get the highest point:

(2 + 3, 1 + 2)

Now we can find the lowest point: (-1,-1)

(2 - 3, 1 - 2)

Answer:

How could he have used 9 lbs of lemons when he only went and bought 2 1/4 lbs? So, his work was NOT correct.

Step-by-step explanation:

Answer:

it is d

Step-by-step explanation:

got it right

Answer:

y = x+5

Step-by-step explanation:

The y intercept is 5  ( where it crosses the y axis)

We need two points to find the slope

(0,5) and (1,6)

The slope is

m = (y2-y1)/(x2-x1)

    = (6-5)/(1-0)

   = 1/1

    =1

The slope intercept is

y = mx+b

y   = 1x +5

y = x+5

Answer:

y = x + 5

Step-by-step explanation:

Slope intecept form: y = mx + b

y = x + 5

It is just x because the slope is 1/1 or rise over run. The intercept is 5 because the line crosses the y axis at the point 5.

Answer:

Check Explanation

The histogram for the question isn't attached. But from the options provided for this question (80–90 minutes 90–100 minutes 100–110 minutes 110–120 minutes), it is evident that the bars and intervals for the question have the same width. So, the interval with the most movies will be the interval whose bar is the tallest.

Pick the interval whos bar has the highest height.

Step-by-step explanation:

The histogram for this question is missing. I couldnt get the histogram online, so, I will use a random histogram example to explain how to pick the interval with the highest frequency.

A histogram is a chart representation that uses bars to describe numerical data. It divides the entire distribution into Intervals and the number of variables in each interval (the frequency) corresponds to the area of each bar. This is the major difference between a bar chart and a histogram; the bars can be unequal for a histogram unlike that of bar charts.

If the bars are of equal widths, then the frequency of each interval is simply the height of the interval's bar.

In the attached histogram example for this question, the histogram shows the monthly salaries of workers and the frequency of workers receiving whichever salary. The intervals for these salaries for this histograms are in steps of $25. The bars start from $800 to $825, $825 to $850 and so on.

Since all the intervals have the same width, the interval with the most workers receiving the salary in that interval is the $900 to $925 interval with the tallest bar with frequency of 150.

If the bars weren't of the same width, the area of each bar is computed and the bar with the highest area has the highest frequency.

From the options provided for the question asked (80–90 minutes 90–100 minutes 100–110 minutes 110–120 minutes), it is evident that the bars and intervals for the question have the same width. So, the interval with the most movies will be the interval whose bar is the tallest.

Hope this Helps!!!

Answer:

maybe A

Step-by-step explanation:

Answer:

[tex]\frac{1}{30}[/tex]

Step-by-step explanation:

The computation of the probability is shown below:

P(die and spinner) is

= Probability of the die × probability of the spinner.

where,

Probability of the die is

= [tex]\frac{1}{6}[/tex]

And for the spinner, the probability is

= [tex]\frac{1}{5}[/tex]

Therefore the probability of both die and inner is

= [tex]\frac{1}{6} \times \frac{1}{5}[/tex]

= [tex]\frac{1}{30}[/tex]

We simply multiplied the probabilities of both die and spinner

Answer:

For Plato Users

Step-by-step explanation:

Plato

Answer:

You didn't give any statements so I'll tell you that it's a vertical line.

Step-by-step explanation:

Answer:

the answer is C on edge

Step-by-step explanation:

Answer:

-21

Step-by-step explanation:

Let the number be x.

x + 28 = 7

x = 7 - 28

x = -21