Use the long division method to find the result when 4x3 + 12x2 + 172 + 9 is
divided by x + 1.

Answers

Answer 1

Answer:

216

Step-by-step explanation:step 1

first you are going to multiply and add all of the things that need to be multipied and added

4x3=12

12x2=24            

172+9= 181

                   ^  12+24+181= 217

second step: put 217 and x+1 in an equation

you cant divide a number with an x, so you have to put it in an equation and solve for x

x+1=217 ( subtract 1 to the other side of the = sigh. 217-1= 216)

x=216


Related Questions

What is the outlier for the data set?
Heart Rate
5 0 7
6 3 5 6 8 8
7 0 2
8
9 0
5 0 = 50 beats per minute
40
50
68
90

Answers

Answer:

6 3 5 6 8 8

Step-by-step explanation:

farthest apart than any other number

Answer:

Your correct answer is 90 :)

Step-by-step explanation:

90 is the biggest number in the number set so therefore it is an outlier. 

Have an amazing day!!

Please rate and mark brainliest!!

What is the volume of this right prism?

1200 in³

1800 in³

2040 in³

3600 in³
Right triangular prism. The height of the prism is labeled as 15 in. The base of the prism is a triangle with the base labeled as 30 in., the height labeled as 8 in., and the other 2 sides of the triangle labeled as 17 in.



brainleiest whoever answers

Answers

Answer:

1800 in^3

Step-by-step explanation:

An angle that measures exactly 180° is known as a/an _____ angle​

Answers

Answer:

An angle that measures exactly 180° is known as a straight angle​

Step-by-step explanation:

A straight angle is basically just a line. It is equal to two right angles (which are 90 degrees) and it is also half of a circle.

I hope this was helpful! If you need any more information on straight angles or any other angles, let me know! Have a lovely day! :)

Gizmo eats 3 crickets per day. If there are 15 crickets in a container, what is the maximum number of days Ms. Evans can go before buying replacement crickets.

Answers

5 days!
3 times 5 is 15

The number 3 is a factor of _________.
A) 4
B) 8
C) 12

Answers

hello!

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

3 is a factor of 12 because 12 is evenly divisible by 3

4 and 8 are not evenly divisible by 3.

the key word here is evenly (without a remainder)

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

note:-

Hope everything is clear; if you need any more explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

What are the x-intercepts of this conic section?



no x-intercepts

(−1, 0) and (1, 0)

(0, −2) and (0, 2)

(0, −1) and (0, 1)

Answers

Using it's concept, it is found that the conic section has no x-intercepts.

What is a x-intercept of a function?


A x-intercept of a function is given by the value of x when y = 0. On a graph, it is the value of x when the function crosses the x-axis.

In this problem, the conic section given in the graph does not cross the x-axis, hence it has no x-intercepts.

More can be learned about x-intercepts at https://brainly.com/question/24737967

If you have 100 feet of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose

Answers

Answer: 1250 square feet!

Step-by-step explanation:

A (25)=25•(100-2•25)=25•50=1250 Sq Ft

If you have 100 feet of fencing and want to enclose a rectangular area up against a long, straight wall, The largest area you can enclose will be 1250 sq Ft.

What is a rectangle?

It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral. The area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

It is given that if you have 100 feet of fencing and want to enclose a rectangular area up against a long, straight wall.

Any rectangle's length and width differences must be as small as possible for the area to be maximized.

The largest area you can enclose

A =25×(100-2•25)

A=25•50

A=1250 Sq Ft

Thus, if you have 100 feet of fencing and want to enclose a rectangular area up against a long, straight wall, The largest area you can enclose will be 1250 sq Ft.

Learn more about the rectangle here:

https://brainly.com/question/15019502

#SPJ5

6. Higher Order Thinking The manager of a restaurant wants to add two new side dishes to the menu. She surveys customers about side dish preferences and records the results in the table shown at the right. a. Find the experimental probability that a customer prefers either baked potato or asparagus. b. Find the experimental probability that a customer prefers either steamed broccoli or sweet potato.​

Answers

Using it's concept, considering the number of desired and total outcomes, it is found that the probabilities are given by:

a. 0.6 = 60%.

b. 0.4 = 40%.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In an experimental probability, these numbers of outcomes are taken from previous trials.

Researching the problem on the internet, it is found that there is a total of 127 + 44 + 95 + 104 = 370 customers.

Item a:

127 + 95 = 222 customers prefer either baked potato or asparagus, hence the probability is given by:

p = 222/370 = 0.6 = 60%.

Item b:

44 + 104 = 148 customers prefer either steamed broccoli or sweet potato, hence the probability is given by:

p = 148/370 = 0.4 = 40%.

More can be learned about probabilities at https://brainly.com/question/14398287


A candy maker produces 465 pounds of chocolate bites. It is placed in equal amounts into 145 empty bags. Each bag can hold up to 3 pounds. How many pounds of chocolate bites are left over after the bags are filled?​

Answers

Answer:

30 pounds are left over after the bag filled

Step-by-step explanation:

145×3

= 435

now,

465-435

= 30

The sum of three numbers is 11 . The sum of twice the first​ number, 5 times the second​ number, and 6 times the third number is 44. The difference between 4 times the first number and the second number is 10. Find the three numbers.

Answers

Answer:

4, 6, 1

Step-by-step explanation:

We can solve this problem using a system of equations:

1) a + b + c = 11

2) 2a + 5b + 6c = 44

3) 4a - b = 10

First, we can substitute the value of b from equation #3 into equation #1:

b = 4a - 10

a + (4a - 10) + c = 11

5a - 10 + c = 11

5a + c = 21

c = 21 - 5a

Now, we can plug the values of b and c into equation #2, as b and c are represented in terms of a:

2a + 5(4a - 10) + 6(21 - 5a) = 44

2a + 20a - 50 + 126 - 30a = 44

-8a + 76 = 44

-8a = -32

a = 4

b = 4a - 10 = 4(4) - 10 = 6

c = 21 - 5a = 21 - 5(4) = 1

What is the area of this trapezoid? units 2

Answers

area of trapezoid: 153 units²

Here given information:

height : 9side 1 : 10side 2 : 7 + 10 + 7 = 24

trapezium area = [tex]\sf \frac{1}{2}[/tex] * ( side 1 + side 2 ) * height

[tex]\hookrightarrow \sf \dfrac{1}{2} * ( 10 + 24) * 9[/tex]

[tex]\hookrightarrow \sf 153 \ units^2[/tex]

you’d work out the area of the triangles first so you’d half the base and multiply by the height of it. then multiply that by 2 as there are 2 identical triangles. which gives you 63. then you work out the area of the rectangle which is 90. you then do 90+63 to get 153

a large University with over 40,000 took a recent survey in which 31% of the students claimed to exercise at least 3 times a week. A simple random sample of 250 students was selected. b = the proportion of students in the sample who claimed to work out 3 at least 3 times a week. What is the standard deviation of the sampling??

Answers

Answer:

A large university with over 40,000 students recently took a survey in which 31% of the students claimed to exercise at least 3 times a week. A simple random sample …

✓ approximately Normal, because we would expect at least 10 success and 10 failures

Step-by-step explanation:

Points P and Q are respectively 4m North and 3m East of point R. Calculate the distance between point P and Q​

Answers

PR=4mQR=3m

Apply Pythagorean theorem

PQ²=QR²+PR²PQ²=4²+3²PQ²=5²PQ=5m

Answer:

Distance between point P and Q = 5m

Step-by-step explanation:

Given

Point P is 4m north (↑) of Point RPoint Q is 3m east (→) of Point R

Using Pythagorean Theorem (applicable for only right triangles)

PQ = √4² + 3²PQ = √25PQ = 5 m

Hope it helped~

A T.V. se was bought for Rs. 13950, when 10% discount is given. , calculate the marked price of the T.V.

Answers

Answer:

15500

Step-by-step explanation:

Solution

here

price of tv after discount: 13950

discount : 10%

now,

price of tv without discount= 13950÷90×100price of tv without discount= Rs15500

Rotate the given triangle 180° counter-clockwise about the origin. [ 0 -3 5 ] [0 1 2]​

Answers

Answer:

  [tex]\left[\begin{array}{ccc}0&3&-5\\0&-1&-2\end{array}\right][/tex]

Step-by-step explanation:

Rotation 180° (in either direction) about the origin causes each coordinate to have its sign changed. Effectively, the coordinate matrix is multiplied by -1.

__

Additional comment

This is equivalent to reflection across the origin.

The answers are : (alike the box order)
3 - 5
-1 -2

Carrie ate some of the oranges that her mother brought home from the grocery store. Of the oranges her mother brought 1/4 were left over. Shyla,Carrie's sister ate 2/5 of the oranges that were left over. What fraction of the oranges did shyla eat?

Answers

Answer:

3/5

Step-by-step explanation:

Answer:

1/10

Step-by-step explanation:

We can put an actual number to this just for easier purposes

So let's say there was 100 oranges at the grocery store

Mom brought home 1/4 which is 25 oranges

100 * [tex]\frac{1}{4}[/tex] = 25

So now we have 25 oranges

Then, Shyla ate 2/5 of the oranges

So we want 2/5 of the 25 left oranges

25 * [tex]\frac{2}{5}[/tex] = 10

And 10 out of 100 is:

1/10

The easier way to do it is to just multiply the fractions together:

[tex]\frac{1}{4} * \frac{2}{5} = \frac{2}{20} = \frac{1}{10}[/tex]

If you have any questions feel free to comment and if this helped a brainliest would be appreciated :)

Select ALL the expressions that have the same value as the expression 0.5 ÷ 0.25
A. 1,200 ÷ 60
B. 1.2 ÷ 0.6
C. 0.012 ÷ 0.06
D. 2.5 ÷ 2.25
E. 0.05 ÷0.025

Answers

Answer:

B and E

Step-by-step explanation:

0.5 ÷ 0.25 = 2

A. NO because it's 20

B. Yes

C. NO because it's 0.2

D. NO because it's 1.1 repeating

E. Yes

For 1-6, classify each triangle by its sides and then by its angle

Answers

Answer:

1) right angled triangle

2) isosceles triangle

3) equilateral triangle

4) scalen triangle

5) isosceles triangle

6) right angled triangle

If the volume of a cuboid is 120 cm' and it has a length of 10cm, a height of 4cm, the width of the cuboid is ?
cm,​

Answers

Answer:

3cm

Step-by-step explanation:

V = L * W * H

V = 10 * W * 4

10 * 4 = 40

120 / 40 = 3

W = 3

PLEASE HELP!!! TOTAL 50 POINTS IF GIVEN BRAINLIEST ANSWER!!!

Find the average value of the function f over the given region.
f(x, y) =10x +3y over the triangle with vertices (0, 0), (9, 0), and (0, 2).

Answers

The average value of f(x, y) over the given region (I'll call it T) is

[tex]\dfrac{\displaystyle \iint_T f(x,y) \, dA}{\displaystyle \iint_T dA}[/tex]

In other words, it's the ratio of the integral of f(x, y) over the region to the area of the region.

The set T can be expressed as

[tex]T = \left\{(x,y) \,:\, 0\le x\le9 \text{ and } 0\le y\le -\dfrac29x+x\right\}[/tex]

Since it's a triangle, the denominator is easily computed to be

[tex]\displaystyle \iint_T dA = \frac12 \times 9 \times 2 = 9[/tex]

In the numerator, we have

[tex]\displaystyle \iint_T (10x+3y) \, dA = \int_0^9 \int_0^{-2x/9+2} (10x+3y) \, dy \, dx \\\\ = \int_0^9 \left(\frac32\left(-\frac{2x}9+2\right)^2+10x\left(-\frac{2x}9+2\right)\right) \, dx = 288[/tex]

and hence the average value is 288/9 = 32.

which fraction is larger: 3/10 or 2/7
Plot on a number line

Answers

Answer:

3/10 is bigger

Step-by-step explanation:

covert into a decimal so 0.3 is bigger than 0.2857

the equation is :
answer x:

Answers

Answer:

A) x would be 21 if i interpreted it right

Step-by-step explanation:

4x - 11 = 73

i think anyways

4x = 73 + 11

4x = 84

x = 21

i d k  what B means?

[tex] \rm \sum_{n = 1}^{ \infty } \frac{( - {1)}^{n + 1} }{n \binom{2n}{n} } \\ [/tex]​

Answers

Recall the well-known series

[tex]\displaystyle 2 \arcsin^2(x) = \sum_{n=1}^\infty \frac{(2x)^{2n}}{n^2 \binom{2n}n}[/tex]

Replace x with √x :

[tex]\displaystyle 2 \arcsin^2(\sqrt x) = \sum_{n=1}^\infty \frac{(4x)^n}{n^2 \binom{2n}n}[/tex]

Differentiate both sides:

[tex]\displaystyle -\frac{\arcsin(\sqrt x)}{2\sqrt{x-x^2}} = \sum_{n=1}^\infty \frac{(4x)^n}{n \binom{2n}n}[/tex]

Multiply by 4x :

[tex]\displaystyle -\frac{4x \arcsin(\sqrt x)}{2\sqrt{x-x^2}} = \sum_{n=1}^\infty \frac{(4x)^{n+1}}{n \binom{2n}n}[/tex]

All the series I've mentioned converge for |x| < 1, so we can take x = -1/4 to find the value of the sum we want.

[tex]\displaystyle \sum_{n=1}^\infty \frac{(-1)^{n+1}}{n \binom{2n}n} = -\frac{4 \times \left(-\frac14\right) \arcsin\left(\sqrt{-\frac14}\right)}{2\sqrt{-\frac14-\left(-\frac14\right)^2}} = -\frac{\arcsin\left(\frac i2\right)}{\frac{\sqrt5\,i}2}} = \boxed{\frac2{\sqrt5} \mathrm{arsinh}\left(\frac12\right)}[/tex]

where

[tex]\arcsin\left(\frac i2\right) = z \iff 2\sin(z) = -2i\sinh(iz) = i \implies z = i \, \mathrm{arsinh}\left(\frac12\right)[/tex]

Michelle is fishing from a small boat. A fish swimming at the same depth as the hook at the end of her fishing line is 16 meters away from the hook. If Michelle is 20 meters away from the fish, how far below Michelle is the hook?

Answers

Answer:

12 meters

Step-by-step explanation:

You have to use the inverse of the pythagorean theorem to do this so you do square root of (20x20-16x16) which is 12

Rewrite the expression 2 square root X•4x^-5/2 in the form k•x^n

Answers

Answer:

(4x)

2

=16×x

2

Step-by-step explanation:

hope it's help

Jameson wants to construct a ladder that has 8 rungs. Each rung is
3.2 feet wide. The two sides measure 10.6 feet each. The wood is
sold for $2.25 per linear foot. Find how much the wood to construct
this ladder will cost Jameson. 5.NBT.7

Answers

Answer:

$23.85

Step-by-step explanation:

Linear foot- sold by the lenght.

Therefore you dont worry about the 3.2 feet wide

So now we multiply 10.6 * 2.25

which is...

$23.85

Classify each of the following statements as true or false.
a 4 × n can be written as 4n. say if it is true or false thanks smarties
b n × 3 can be written as 3n.
c 4 × b can be written as b + 4.
d a × b can be written as ab.
e a × 5 can be written as 50a.

Answers

Step-by-step explanation:

a- true

b- true

c- false, it can be written 4b

d- true

e- false, 5a

Answer:

A.true B.true C.False D.true E.False

Which list of angle measures could be the angle measures of a triange?

Answers

Answer:

angles of triangle adds up to 180 degrees

I’m trying to find the absolute Max and min, I can’t figure out how to do the derivative, thanks

Answers

Step-by-step explanation:

Step 1: Take the First Derivative This means only differentiate once.

Disclaimer: Since absolute value only take positve outputs and quadratics only take positve outputs, we can get rid of the absolute value signs so we now have

[tex]e {}^{ {x}^{2} - 1 } [/tex]

We have the function x^2-1 composed into the function e^x.

So we use chain rule

Which states the derivative of a function composed is the

derivative of the main function times the derivative of the inside function.

So the derivative of the main function is

[tex] \frac{d}{dx} (e {}^{x} ) = e {}^{x} [/tex]

Then we replace x with x^2-1

[tex]e {}^{ {x}^{2} - 1} [/tex]

Then we take the derivative of the second function which is 2x so qe multiply them

[tex]e { }^{ {x}^{2} - 1 } 2x[/tex]

Step 2: Set the equation equal to zero.

[tex]e {}^{x {}^{2} - 1} 2x = 0[/tex]

Since e doesn't reach zero. We can just set 2x=0.

[tex]2x = 0 = x = 0[/tex]

So the critical point is 0.

Since e^x will never reach zero

Since 0 is the only critical point, this where the max or min will occur at.

Next we pick any numbergreater than zero, and plug them in the derivative function which gives us a positve number.

Any pick less than zero will give us a negative number.

Since the function is decreasing then increasing, we have a minimum.

Since 0 is the only critical point, we have a absolute minimum at 0.

To find the y coordinate, plug 0 in the orginal function.

Which gives us

[tex]e {}^{ {0}^{2} - 1 } = e {}^{ - 1} = \frac{1}{e} [/tex]

So the minimum occurs at

(0,1/e).

THINK SMARTER + Julianna is lining the inside of a basket with fabric.
The basket is in the shape of a rectangular prism that is 29 cm long,
19 cm wide, and 10 cm high. How much fabric is needed to line the
inside of the basket if the basket does not have a top? Explain your
strategy
2

Answers

Answer:

1,511 cm²

Step-by-step explanation:

      We will find the surface area, but not include the top.

      This means we will have five sides to calculate for, see attached.     Please note that the area of a rectangle can be found with A = L * W

[1] 19 cm * 10 cm = 190 cm²

[2] 19 cm * 10 cm = 190 cm²

[3] 29 cm * 10 cm = 290 cm²

[4] 29 cm * 10 cm = 290 cm²

[5] 19 cm * 29 cm = 551 cm²

    Add them all together:

190 cm² + 190 cm² + 290 cm² + 290 cm² + 551 cm² = 1,511 cm²

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