¿Cuál dígito debe ir en el recuadro para
que el siguiente número sea divisible
entre 2, 3 y 9? 8,? 48

Answers

Answer 1

Answer:

7

Step-by-step explanation:

English:

Which digit should go in the box to

make the next number divisible

between 2, 3 and 9? 8 ,? 48

Let x be the number, then the number will look like this:

8x48

This number is already divisible by 2, because it ends with an even number.

Now we need to check for divsibility by 3.

For this to be divisible by 3, the sum of the digit should be a multiple of 3.

[tex]8 + x + 4 + 8 = x +20[/tex]

We know if a number is divsible by 9, it is also divsible by 3.

So

[tex]x + 20=9,18,27,....[/tex]

The least positive solution is

[tex]x + 20 = 27[/tex]

[tex]x = 27 - 20[/tex]

[tex]x = 7[/tex]

Therefore 8748 is divsible by 2,3, and 9.


Related Questions

Khan academy use Pythagorean theorem to find isosceles triangle size length

Answers

Answer:

I know

Step-by-step explanation:

The length of each equal side of the isosceles triangle Pythagorean theorem is equal to the square root of half the square of the length of the base.

The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

To find the length of an isosceles triangle, we need to consider the two equal sides as the legs of a right-angled triangle, and the remaining side as the hypotenuse.

Let's denote the length of the equal sides as "a" and the length of the remaining side (the base) as "b".

According to the Pythagorean theorem, we have:

[tex]a^2 + a^2 = b^2[/tex]

Simplifying this equation, we get:

[tex]2a^2 = b^2[/tex]

To find the length of the equal sides, we can solve for "a" by taking the square root of both sides:

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

Therefore, the length of each equal side of the isosceles triangle Pythagorean theorem is equal to the square root of half the square of the length of the base.

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what is 6x^2+60x+150=0?​

Answers

6x²+60x+150=0

36x+60x= -150

96x= -150

x= -1.56

Answer: x= -5twice

Step-by-step explanation:

6x2+60x+150=0

Quadratic equation

But firstly,divide all by 6

6x2/6+60x/6+150/6=0

X2+10x+25=0

Variable of 25 that will give 10 is 5&5

Substitute

X2+5x+5x+25=0

X(x+5)+5(x+5)=0

(X+5)(x+5)=0

X+5=0

X= -5 twice

Simplify the expression (3x^3 y^-2)^-4

Answers

The answer is y^8/ 81x^12

Explanation: use Photomath it's a easy app like Brainly and it gives u math answers. It's free and on the AppStore. It helps explain too

The radius of the base of a metallic rod is 2 centimeters, and its height is 15 centimeters. What is the volume of this cylinder?

A) 60π cm³

B) 50π cm³

C) 27π cm³

D) 36π cm³

Answers

Answer:

A) 60π cm³

Step-by-step explanation:

Given:

The radius of the base of a metallic rod is 2 centimetres, and its height is 15 centimetres.

Question asked:

What is the volume of this cylinder?

Solution:

As we know''

[tex]Volume\ of\ cylinder=\pi r^{2} h[/tex]

                                [tex]=\pi \times2\times2\times15\\ \\ =60\pi[/tex]

Therefore, the volume of this cylinder will be [tex]60\pi\ cm^{3}[/tex]

Answer:

The correct option is option (A)

The volume of the metallic rod is 60π cm³.

Step-by-step explanation:

Cylinder:

It is three dimension shape.The lateral surface area is 2πrh, r= radius, h= heightTotal surface area = 2πrh+2πr²,Volume = πr²h.

The radius of the base of metallic rod is 2 cm and its height is 15 cm.

Here r= 2 cm, h= 15 cm, [tex]\pi =\frac{22}7[/tex]

The volume of metallic rod is

=πr²h

=π(2 cm)² (15 cm)

=π(4)(15) cm³

=60π cm³

Rita wants to know the average weight of each apple in
an 8-pound bag of apples. She purchased 5 bags and
found the average apple weight. Using her results, an
apple from an 8-pound bag of apples should weigh
between:
O
O lbs and 0.9 lb.
1.0 lb and 1.2 lbs.
0.8 lb and 1.2 lbs.
O 0.8 lb and 0.9 lb.

Answers

Answer:

c

Step-by-step explanation:

because all your doing is picking the smallest and the biggest number and i just got it right .

Answer:C

Step-by-step explanation: 0.8 lb and 1.2 lb

How much grain can this container hold? Express your
answer in terms of it. It’s a cylinder

4 in.
11 in.

176pie in.3
88pie in.3
44pie in.3
484pie in.3

Answers

Answer:

[tex]176\pi in.^3[/tex]

Step-by-step explanation:

The figure of the problem is missing: find it in attachment.

In this problem, the container has a shape of a cylinder.

The volume of a cylinder is given by the formula:

[tex]V=\pi r^2 h[/tex]

where

V is the volume

r is the radius of the base of the cylinder

h is its height

For the container in this problem, we have:

r = 4 in. is the radius of the base

h = 11 in. is the height of the container

Substituting into the formula, we can find the volume of the container, and so the volume of grain that it can contain:

[tex]V=\pi (4)^2 (11)=176\pi in.^3[/tex]

Final answer:

The given cylinder container can hold 44π cubic inches of grain. This is calculated using the formula for the volume of a cylinder which is πr²h.

Explanation:

To compute the amount of grain a cylindrical container can hold, you would have to calculate the cylinder's volume. The formula for the volume of a cylinder is πr²h, where r represents the radius, and h represents the height.

In this case, the diameter is 4 inches, so the radius (r) would be 2 inches. The height (h) of the cylinder is 11 inches. So, substituting these values into the formula gives us:

Volume = π(2²) x 11 = 44π cubic inches

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x -5 -3 4 1 -1 -2 0 2 3 -4
y -10 -8 9 1 -2 -6 -1 3 6 -8

For the data in the table, find the line of best fit and use it to predict the value of y when x = -3.8.

A) -8.53
B) -7.42
C) -0.01
D) 4.20

Answers

Answer:

The answer is actually A) -8.53

Step-by-step explanation:

The line of best fit has equation y = 2.1x - 0.55, so plugging in x = -3.8 yields -8.53 for y.  I just did my USATestprep and this was the answer.

what is -5% as a decimal

Answers

-0.5

Answer: -0.5

Step-by-step explanation:

Answer:-0.05

Step-by-step explanation:

Answer
uestions below.
A researcher measured the shoe size and math ability of a large group of children. She found that having a larger shoe size does not
indicate that a child has more or less math ability. What does her analysis show
There is no correlation between shoe size and math abity.
There is a correlation between shoe size and math ability. There may or may not be causation. Further studies would have to be done to determine
this.
There is a correlation between shoe size and math ability. There is probably also causation. This is because there is likely an increase in math
ability with an increase in shoe size

Answers

Answer:

There is no correlation between shoe size and math abity.

Step-by-step explanation:

Final answer:

The researcher's examination showed that there's no correlation between a child's shoe size and math ability. Hence, a larger shoe size doesn't inherently relate to better or worse math skills. The concepts of correlation and causation are critical in such evaluations.

Explanation:

The researcher's analysis indicates that there is no correlation between a child's shoe size and their math abilities. In other words, having a larger shoe size does not necessarily mean that a child would be better or worse at mathematics. The subjects of correlation and causation are important in studies like these. Correlation refers to a mutual relationship or connection between two or more things. In this case, there is no evident correlation between shoe size and math ability. On the other hand, causation would mean that one event (a larger shoe size) is the result of the occurrence of the other event (higher math ability), which in this scenario is not the case.

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If a raffle has a winning prize of $100 and each ticket costs $5 with a total of 500 tickets sold, which equation would calculate the expected value?
100 (StartFraction 1 Over 500 EndFraction) + (negative 5) (StartFraction 499 Over 500 EndFraction) = E (X)
95 (StartFraction 1 Over 500 EndFraction) + (negative 5) (StartFraction 499 Over 500 EndFraction) = E (X)
(100 minus 5) (StartFraction 1 Over 500 EndFraction) = E (X)
(100) (StartFraction 1 Over 500 EndFraction) = E (X)

Answers

Answer:

B

Step-by-step explanation:

It's the right answer

The expected value of the given scenario is -$4.80

What is probability?

The probability of an event is a number that indicates how likely the event is to occur. It is expressed as a number in the range from 0 and 1, or, using percentage notation, in the range from 0% to 100%. The more likely it is that the event will occur, the higher its probability.

The expected value refers to the value for a person who decides to purchase one ticket.

And that value is the sum of the values of the different possible scenarios.

There are two scenarios, wining and losing.

Note that we need to subtract the cost of the ticket (i.e. $5) from the return.

Winning :-

Probability 1 out of 500 chances

Return expected: ($100 - $5) *1/500 = $95 * 1/500 = $0.19

Losing :-

Probability 499 out of 500 chances

Return expected: (0 - $5)*499/500 = -$4.99

The expected value is the sum of the two returns: $0.19 - $4.99 = -$4.80 (it is negative).

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In the figure below, if C is the center of the circle and 30 < C < 60, then which of the following expresses all possible values of a?




Select one:

A. 50 < a < 70

B. 60 < a < 70

C. 60 < a < 75

D. 75 < a < 90

E. 100 < a < 115

Answers

Answer:

Option C.

Step-by-step explanation:

In the given figure C is the center of the circle.  

Let A and B are two points on the circle, such that

[tex]\angle A=a^{\circ},\angle B=b^{\circ}[/tex]

Since CA and CB are radius of the circle, therefore ABC is an isosceles triangle.

[tex]\angle A=\angle B=a^{\circ}[/tex]

Using angle sum property,

[tex]\angle A+\angle B+\angle C=180^{\circ}[/tex]

[tex]a^{\circ}+a^{\circ}+\angle C=180^{\circ}[/tex]

[tex]2a^{\circ}=180^{\circ}-\angle C[/tex]

Divide both sides by 2.

[tex]a^{\circ}=\dfrac{180^{\circ}-\angle C}{2}[/tex]

It is given that

[tex]30<C<60[/tex]

[tex]\Rightarrow 180-30>180-C>180-60[/tex]     (Subtract from 180)

[tex]\Rightarrow 150>180-C>120[/tex]

[tex]\Rightarrow \dfrac{150}{2}>\dfrac{180-C}{2}>\dfrac{120}{2}[/tex]      (Divide by 2)

[tex]\Rightarrow 75>a>60[/tex]

[tex]\Rightarrow 60<a<75[/tex]

Hence, the correct option is C.

tommy likes to run up and down and "up" escalator. Going up, he can cover 30 steps in 6 seconds. Going down, it takes him 15 seconds to cover 30 steps. Find Tommy's rate (in steps per second) if the escalator stopped moving.​

Answers

Answer:

3 steps per second.

Step-by-step explanation:

Find the Unit Rates of each going up and down:

--> 30/6 unit rate is 5 steps per second.

--> 30/15 unit rate is 2 steps per second.

Now subtract them to get the amount if the elevator wasn't moving:

--> 5-2= 3.

Final answer:

To find Tommy's rate (in steps per second) if the escalator stopped moving, calculate his speed going up and going down, then subtract the speed going down from the speed going up.

Explanation:

To find Tommy's rate (in steps per second) if the escalator stopped moving, we need to calculate his speed when going up and when going down.

When going up, Tommy covers 30 steps in 6 seconds. So his speed going up is 30 steps / 6 seconds = 5 steps per second.

When going down, Tommy covers 30 steps in 15 seconds. So his speed going down is 30 steps / 15 seconds = 2 steps per second.

If the escalator stopped moving, Tommy's rate would be the difference between his speed going up and his speed going down. So his rate would be 5 steps per second - 2 steps per second = 3 steps per second.

A pair of designer sneakers were purchased for $150. Since they were purchased, their price has increased by 20%. After the increase what would the new ammount for the sneakers?

Answers

The new price is $180

Answer:

the new price is... i think 180

Step-by-step explanation:


The calculator shows the result that Luiza got after
evaluating the expression 9 (52+ 18) + 42. She checked
her work by rounding all of the values to the nearest ten and
comparing it to the calculator result. Which is true regarding
her estimate and the accuracy of her calculator result?

1.) The estimated result is 560, which suggests the
calculator is correct.

2.)The estimated result is 740, which suggests the
calculator is incorrect.

3.) The estimated result is 840, which suggests the
calculator is incorrect.

4.) The estimated result is 1,100, which suggests the
calculator is incorrect.

Answers

Answer:

Answer 2 is correct, 740

Step-by-step explanation:

The rounded equation would be 10 (50+20) + 40. So if you do the equation then it would be 740

Which of the following is the best thing to do as a first step in using substitution to solve the system of equations?
(3x + y=-3
2x-3y = -13
A. Solve the top equation for x.
B. Solve the top equation for y.
C. Solve the bottom equation for x.
D. Solve the bottom equation for y.

Answers

A . solve the top equation for x.
The answer is b. Thank you :))

what unit of measurement do you measure the length of a living room?

Answers

Answer:

ft

Step-by-step explanation:

just the most common

area

i would say feet, so it could be like ''the room is 45 feet long'' or something

How many Starbucks do you think there were in the US in 20152 Make a quick estimate and write it in the box below

Answers

Answer:

0

Step-by-step explanation:

Some president will make Russia mad enough to start a nuclear war and the entire planet will be destroyed, let alone Starbucks.

solve -2 | 3x - 6 | + 5 = 1

Answers

Answer:

x = [tex]\frac{4}{3}[/tex], x = [tex]\frac{8}{3}[/tex]

Step-by-step explanation:

Given

- 2 | 3x - 6 | + 5 = 1 ( subtract 5 from both sides )

- 2 | 3x - 6 | = - 4 ( divide both sides by - 2 )

| 3x - 6 | = 2

The absolute value function always returns a positive solution, however, the expression inside can be positive or negative, that is

3x - 6 = 2 ( add 6 to both sides )

3x = 8 ( divide both sides by 3 )

x = [tex]\frac{8}{3}[/tex]

OR

- (3x - 6) = 2, that is

- 3x + 6 = 2 ( subtract 6 from both sides )

- 3x = - 4 ( divide both sides by - 3 )

x = [tex]\frac{4}{3}[/tex]

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.

x = [tex]\frac{8}{3}[/tex] : - 2| 8 - 6 | + 5 = - 2| 2| + 5 = -2(2) + 5 = - 4 + 5 = 1 = right side

x = [tex]\frac{4}{3}[/tex] : - 2 | 4 - 6| + 5 = - 2| - 2| + 5 = - 2(2) + 5 = - 4 + 5 = 1 = right side

Thus the solutions are x = [tex]\frac{4}{3}[/tex] and x = [tex]\frac{8}{3}[/tex]

Answer:

x = 1⅓, 2⅔

Step-by-step explanation:

-2 | 3x - 6 | + 5 = 1

-2 | 3x - 6 | = 1 - 5

-2 | 3x - 6 | = -4

| 3x - 6 | = 2

3x - 6 = 2

3x = 8

x = 8/3 = 2⅔

3x - 6 = -2

3x = 4

x = 4/3 = 1⅓

The maximum diameter of a bowling ball is 8.6 inches. What is the volume to the nearest tenth of a bowling ball with this diameter?

Answers

Answer:

333 cubic inches

Step-by-step explanation:

Hello, I can help you with this.

according to the question the maximum diameter of a bowling ball is 8.6 inches.

[tex]D_{max}=8.6 inches\\[/tex]

Step one

using this equation find the radius of the ball

remember

Diameter=2*radius

diameter/2= radius

put the value into the equation

8.6 inches/2= radius

radius=4.3 inches

Step two

using the known radius , find the volume

the volume of a sphere is given by

[tex]V=\frac{4}{3}\pi *radius^{3}[/tex]

put the value of radius into the equation

[tex]V=\frac{4}{3}\pi *(4.3\ in) ^{3} \\\\V=\frac{4}{3}\pi *79.507\ in ^{3}\\V=333.03 in ^{3}[/tex]

so,  the volume to the nearest tenth of a bowling ball with this diameter is 333 cubic inches.

I hope it helps, have a good day.

Answer:

The volume of the bowling ball to the nearest tenth is v ≈ 106.0π in³ in terms of π  or v≈332.9 in³

Step-by-step explanation:

To find the volume of the bowling ball, we will follow the steps below;

First write down the formula for calculating the volume of a sphere

v=[tex]\frac{4}{3}[/tex]πr³

where v = volume of the ball   and  r = radius of the ball

From the equation given, the diameter of the ball is 8.6 inches but radius is half of diameter, this implies that r= d/2 = 8.6/2 = 4.3, that is; radius=4.3 inches.

Let substitutes the value into the equation

v=[tex]\frac{4}{3}[/tex]×π×(4.3)³

v = [tex]\frac{4}{3}[/tex]×π×79.507

v =106.009π

v ≈ 106.0π in³

we can take π=3.14

v = 106.009×3.14

v =332.86826

v≈332.9 in³

The volume of the bowling ball to the nearest tenth is v ≈ 106.0π in³ in terms of π  or v≈332.9 in³

If three unbiased coins are tossed, then what is the probability of getting one or more heads is

Answers

Answer:

The odds would be 7/8 that at least one would be a heads.

Step-by-step explanation:

To find your answer, see each coin flip as unrelated to the last one.

For the first coin flip, you can either get heads or tails. So, there's only 2 possible outcomes.

Flip 1 (Outcome 1): H or T

Flip 1 (Outcome 2): H or T

But when it comes to the second flip, now each outcome has two possible "sub-outcomes" of their own. So there's now four total outcomes.

Flip 2 (Outcome 1) : H, H

Flip 2 (Outcome 2) : H, T

Flip 2 (Outcome 3) : T, H

Flip 2 (Outcome 4) : T, T

On the third flip, there would now be 8 outcomes. As each "sub-outcome" has own of their own.

Flip 3 (Outcome 1) : H, H, H

Flip 3 (Outcome 2) : H, H, T

Flip 3 (Outcome 3) : H, T, H

Flip 3 (Outcome 4 : H, T, T

Flip 3 (Outcome 5) : T, H, H

Flip 3 (Outcome 6) : T, H, T

Flip 3 (Outcome 7) : T, T, H

Flip 3 (Outcome 8): T, T, T

So all but one of the eight outcomes have at least one heads drawn. Due to this, the odds of an heads happening would be 7/8 within all of the possible outcomes.

The odds would be 7/8

Answer the question

Answers

Answer:

on my screen the picture is blocked just comment on my answer and i will do it for you

Step-by-step explanation:

Jada sells ground paprika
Her weekly profit (in dollars) as a function of the amount of paprika she sold that week (in kilograms) is
graphed
What is Jada's profit if she sells 60 kilograms of paprika?

Answers

Answer:

If Jada sells 60 kilograms of paprika, her profit would be $200.

Step-by-step explanation:

Note: The missing graph is attached below.

From the graph,

Taking two points

(35, 0) (60, 200)

[tex]\mathrm{Slope\:between\:two\:points}:\:\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(35,\:0\right),\:\left(x_2,\:y_2\right)=\left(60,\:200\right)[/tex]

[tex]m=\frac{200-0}{60-35}[/tex]

[tex]m=8[/tex]

The equation of line in slope-intercept form is

[tex]y=mx+b[/tex]

Putting (60, 200) and m = 8 in the slope-intercept form

[tex]200=\left(60\right)\left(8\right)+b[/tex]

[tex]\left(60\right)\left(8\right)+b=200[/tex]      

[tex]480+b=200[/tex]

[tex]\mathrm{Subtract\:}480\mathrm{\:from\:both\:sides}[/tex]

[tex]480+b-480=200-480[/tex]

[tex]b=-280[/tex]

Thus

[tex]y=mx+b[/tex]

[tex]y=8x+\left(-280\right)[/tex]

[tex]y=8x-280[/tex]

Putting x = 60

[tex]y=8\left(60\right)-280[/tex]

[tex]y=200[/tex]

Therefore, if Jada sells 60 kilograms of paprika, her profit would be $200.

Answer:

the answer is 35 kilograms

Step-by-step explanation:

got it from khan academy

Classify each pair of angles listed below as adjacent or vertical.

Answers

Given:

Intersecting lines DA and CE.

To find:

Each pair of adjacent angles and vertical angles.

Solution:

Adjacent angles are in the same straight line.

Pair of adjacent angles:

(1) ∠EBD and ∠DBC

(2) ∠DBC and ∠CBA

(3) ∠CBA and ∠ABE

(4) ∠ABE and ∠EBD

Vertical angles are opposite angles in the same vertex.

Pair of vertical angles:

(1) ∠EBD and ∠CBA

(2) ∠DBC and ∠EBA

For which equation is x = 4.5 a solution?

a
-2x - 4 = 13
b
4x - 3 = 12
c
2x - 2.5 = 6.5
d
2x + 0.5 = 11

Answers

Answer: C. 2x-2.5=6.5
Answer: C 2x-2.5=6.5

?/6=1/2 Will get Brainliest

Answers

Answer:

3/6

Step-by-step explanation:

Answer:

3/6=1/2

Step-by-step explanation:

Cross multiply

x/6=1/2

2x=6

Divide by 2 on both sides

x=3

So, 3/6=1/2

Hope this helps! :)

What parts of the American System are still in effect today

Answers

Answer:

Many of the policy tools used by these earlier American systems are obsolete today. But the idea is not. Now, as in the nineteenth and twentieth centuries, national economic development rests on a mutually reinforcing triad of policies to encourage American industry, national infrastructure, and adequate finance.

The principles of economic nationalism, financial stability, and infrastructure development remain influential in modern economic policy.

The American System, also known as the National System or Henry Clay's American System, was an economic plan devised by American statesman Henry Clay in the early 19th century. The plan aimed to promote economic growth and national unity by focusing on three key areas:

Tariff Protection: Clay advocated for high tariffs on imported goods to protect American industries from foreign competition. This policy is still reflected in modern trade agreements, where tariffs are used to balance trade and protect domestic industries.

National Bank: Clay supported the establishment of a strong national bank to regulate the money supply, stabilize the economy, and facilitate commerce. While the specific form of the Second Bank of the United States, which Clay supported, is no longer in existence, the concept of a central bank remains central to modern economic policy.

Internal Improvements: Clay believed in investing in infrastructure projects such as roads, canals, and railroads to improve transportation and connect different regions of the country. This concept is still relevant today, as governments continue to invest in infrastructure to support economic growth and mobility.

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8 books cost \$19.60$19.60dollar sign, 19, point, 60.

Which equation would help determine the cost of 101010 books?

Answers

Final answer:

The cost of 10 books can be found by dividing the total cost for 8 books ($19.60) by 8 to get the cost per book ($2.45), and then multiplying that by 10 to get the total cost ($24.50).

Explanation:

To determine the cost of 10 books if 8 books cost $19.60, we need to establish the price per book and then multiply that by 10. First, let's calculate the cost per book by dividing the total cost by the number of books:

Cost per book = Total cost ÷ Number of books = $19.60 ÷ 8 books = $2.45 per book

Now, using the cost per book, we can find the total cost for 10 books:

Total cost for 10 books = Cost per book × 10 = $2.45 × 10 = $24.50

Therefore, the equation that would help determine the cost of 10 books is:

Cost = $2.45 × Number of books

In this case, for 10 books, the cost would be:

Cost = $2.45 × 10

The function f(x)f(x) is a quartic function and the zeros of f(x)f(x) are -6−6, -5−5, -2−2 and 11. Assume the leading coefficient of f(x)f(x) is 11. Write the equation of the quartic polynomial in standard form.

Answers

Answer:

[tex]\boxed{f(x) = 11x^4 + 22x^3 - 1001x^2 - 5632x - 7260}[/tex]

Explanation:

A quartic function is a function given by the the following equation in standard form:

[tex]f(x)=a_{4}x^4+a_{3}x^3+a_{2}x^2+a_{1}x+a_{0} \\ \\ \\ Where: \\ \\ a_{4},a_{3},a_{2},a_{1},a_{0} \ \text{are constant} \\ \\ \text{and} \ a_{4} \ \text{is the leading coefficient}[/tex]

From the statement we must assume the leading coefficient of f(x) is 11, so:

[tex]a_{4}=11[/tex]

The zeros are:

[tex]x=-6 \\ \\ x=-5 \\ \\ x=-2 \\ \\ x=11[/tex]

So, we can write:

[tex]f(x)=11(x-(-6))(x-(-5))(x-(-2))(x-11) \\ \\ \\ So: \\ \\ \mathrm{Rule}:-\left(-a\right)=a \\ \\ \\ Then: \\ \\ f(x)=11\left(x+6\right)\left(x+5\right)\left(x+2\right)\left(x-11\right)[/tex]

[tex]Expand:\left(x+6\right)\left(x+5\right):\ x^2+11x+30: \ \text{Distributive Property} \\ \\ \\ Then: \\ \\ f(x)=11\left(x^2+11x+30\right)\left(x+2\right)\left(x-11\right) \\ \\ \\ Expand:\left(x^2+11x+30\right)\left(x+2\right):\ x^3+13x^2+52x+60: \ \text{Distributive Property} \\ \\ \\ Then: \\ \\ f(x)=11\left(x^3+13x^2+52x+60\right)\left(x-11\right)[/tex]

[tex]Expand: \left(x^3+13x^2+52x+60\right)\left(x-11\right):\ x^4+2x^3-91x^2-512x-660 \\ (Distributive \ property)[/tex]

Finally:

[tex]f(x) = 11(x^4 + 2x^3 - 91x^2 - 512x - 660) \\ \\ \boxed{f(x) = 11x^4 + 22x^3 - 1001x^2 - 5632x - 7260}[/tex]

If a circle with a diameter of 57.75 m is inscribed in a square, what is the probability that a point picked at random in the
square is in the shaded region? Round the answer to the nearest thousandth.
A. 0.005
B. 0.027
C 0.215
D. 0.785

Answers

The answer to your question is b

Answer:

The answer is C

Step-by-step explanation:

V+6/2=-8. For each step, choose the reason that best justifies it.

Answers

Answer:

V=-11

Step-by-step explanation:

V + 6/2 = -8

You simplify the 6/2 PEMDAS

V + 3 = -8

You subtract 3 from both sides PEMDAS/isolate the variable/combine like terms

V = -11

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