(q − 10) (q² + q +1)

Answers

Answer 1
I am not sure what you have to find specifically but if you wanted it to be simplified or to find the product;
q^3-9q^2-9q-10

Related Questions

Use polar coordinates to find the volume of the given solid: Inside the sphere x^2 + y^2 + z^2 = 16 and outside the cylinder x^2 + y^2 = 4.

Answers

Using polar coordinates, volume of the given solid is, 32√3π.

What is volume of solid?

An object's space requirement is expressed in terms of its volume. The amount of unit cubes required to completely fill the solid is how much it weighs. We have a total of 30 unit cubes in the solid, so the volume is as follows: 2 units 3 units 1 unit Equals 30 cubic units

We have to find the volume of the solid Inside the sphere x^2 + y^2 + z^2 = 16 and outside the cylinder x^2 + y^2 = 4 using polar coordinates.

So, the volume is

[tex]2\int\limits\int\limits_D {\sqrt{16-x^2-y^2} } \, dA[/tex]

[tex]2\int\limits^2^\pi _0 {\int\limits^4_2 {\sqrt{16-r^2} } rdrdtheta[/tex]

[tex]2\int\limits^2^\pi _0 {(-\frac{1}{3})(16-r^2)_2^4 } \, dtheta[/tex]

[tex]2\int\limits^2^\pi _0 {(-\frac{1}{3})(-2\sqrt{3}) } \, dtheta[/tex]

[tex]\int\limits^2^\pi _0 {16\sqrt{3} } \, dtheta[/tex]

[tex]32\sqrt{3}\pi[/tex]

Hence, the volume of the given solid using polar coordinates is, [tex]32\sqrt{3}\pi[/tex].

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I understand it but it won't give me the marks for explaining. What should I try?​

Answers

Answer:

B is never true

Step-by-step explanation:

you can't get a negative number when you have a even power

I need help with Part 2 only

Answers

What part 2 do you have a picture

Can anyone help me in this question? pls.........

Answers

Answer: A

Step-by-step explanation :

HE ASKED YOU ABOUT AN EQUALTULAR ( TO EQUALED AND OPPSITE ANGLE )

a body of mass 10.5 kg fell to the ground . calculate the weight of the body.​

Answers

Answer:

103 N

Step-by-step explanation:

we use the equation: w = mg

where m is mass, W is weight and g is gravitational field strength

w = ?

m= 10.5 kg

g = 9.81 ms‐² (for earth)

so,

w = 10.5 × 9.81

w = 103.005

w ≈ 103 Newtons

Please helppppppppppp

Answers

Answer:

1

2

[

x

2

2

x

3

3

]

2

0

=

1

2

[

(

4

2

8

3

)

(

0

)

]

=

1

2

(

2

3

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=

1

3

Step-by-step explanation:

Write an equation for line L in point-slope form and slope-intercept form?
L is perpendicular to y=5x
Write an equation for the line L in point - slope form

Answers

The linear equation in the slope-intercept is:

y = (-1/5)*x  - 26/5

And it can be written as:

y = (-1/5)*(x + 1) - 5

How to find the equation for line L?

We can write the equation for line L as:

y = a*x +b

Where a is the slope and b is the y-intercept.

Two lines are perpendicular if the product between the slopes is equal to -1.

So if we want our line to be perpendicular to y= 5x, then we must have:

a*5 = -1

a = -1/5

So our line is something like:

y = (-1/5)*x + b

And the line passes through (-1, -5), replacing these values:

-5 = (-1/5)*-1 + b

-5 = 1/5 + b

-5 - 1/5 = b

-26/5 = b

The linear equation is:

y = (-1/5)*x  - 26/5

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3. Adam is 20 years younger than Brian. In two years Brian will be twice as old as
Adam is now. How old
are they now? Solve the problem using the elimination method.

Answers

Answer:

Here,

Let the age of Adam be x

and ,Brian be y

so,x=y+20.........eqn 1

and ,2(y+2)=x

or,2y+4=x......eqn 2

Now ,

subtracting eqn1 and eqn 2

so, x=y+20

x=2y+4

- - -

______________

0 = -y+16

so,y=16 and x=y+20 =16+20=36 .

so Adam is 36 years old and brian is 16.

What is the range of the given function ?

Answers

The range of the function is y ≤ 3.

What is the range of the function?

The set of a function's potential output values is known as its range.

Given, the graph of the function.

The range of a function is the set of values of y the function can take.

The maximum y value of the function is 3, and the graph is going down both sides infinitely.

Therefore, the range of the function is y ≤ 3.

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What is the relationship between Figure A and Figure B?

-Figure A was translated left 2 units and up 4 units

-Figure A was reflected over the y-axis

-Figure A was translated right 4 units and up 2 units

-Figure A was dilated by a scale factor of 2

Answers

Answer:

Figure A was translated right 4 units and up 2 units

write an expression using division that could be used to find the width of the rectangle

Answers

The expression used to find the width using division is:

W = A/L

Which expression can be used to find the width?

We know that for a rectangle of width W and length L, we know that the area is given by the product between these two dimensions, then:

A = L*W

We want a expression using division that can be used to find the width, so, suppose we know the values of the area and the length, the we can divide both sides by L to get:

A/L = W

This expression gives the width.

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An airplane travels 3582 kilometers against the wind in 6 hours and 4482 kilometers with the wind in the same amount of time. What is the rate of the plane in still air and what is the rate of the wind?

Answers

Answer: Let us assume speed of jet in still air =x

speed of wind =y

Jet flying against the wind

Relative speed of the jet = speed of jet in still air -speed of the wind=x-y

distance covered =3426

time =6 hours

distance = speed * time

3426=(x-y)*6

x-y =3426/6

x-y=571——(1)

Jet flying with the wind

Relative speed of the jet = speed of jet in still air +speed of the wind=x+y

distance covered =4026

time =6 hours

distance = speed * time

4026=(x+y)*6

x+y =4026/6

x+y=671———-(2)

solving 1 and 2 we get

x+y=671

x-y=571

x=621

y=50

speed of jet in the still air =x= 621 miles per hour

Step-by-step explanation:

Sheila is making accessories for the soccer team. She uses 784.96 inches of fabric on headbands for 28 players and 4 coaches. She also uses 238.28 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?

Answers

Answer: 3.28 inches

Step-by-step explanation:

Fabric used for players and coaches is 776.32 inches.

Number of players is 29 and coaches is 3

So fabric used for each player and coach for the headbands is

776.32/29+3 = 24.26 inches

So, for the players 24.26 of fabric will be used for the headbands.

Total fabric used for the wristbands is 247.66 inches

Fabric used for the wristband is

247.66/29 = 8.54 inches

So, total amount of fabric used by Shelia for the wristband and headband is 24.26 + 8.54 = 32.8 inches.

Elena collects data to investigate the relationship between the number of bananas she buys at the store, , and the total cost of the bananas, . Which value for the correlation coefficient is most likely to match a line of best fit of the form for this situation?

Answers

The correlation coefficient that is most likely to match a line of best fit of the form y = mx + b for this situation is of:

0.9.

What is a correlation coefficient?

The correlation coefficient is an index that measures correlation between two variables, assuming numeric values between -1 and 1.

If the correlation coefficient is positive, the relation is positive, that is, they are direct proportional. If the correlation coefficient is negative, they are inverse proportional.

If the absolute value of the correlation coefficient is greater than 0.6, the relationship between the two variables is classified as strong.

In the context of this problem, the variables are listed as follows:

Number of bananas bought.Total price of the bananas.

The total price increases with the number of bananas bought, and there is a strong positive relationship between these two variables, hence the coefficient should be greater than 0.6 and the correct option is:

0.9.

Missing Information

The problem is given by the image shown at the end of the answer.

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If each standard room cdn fill 2 guests what is the maximum number of guests that all standard rooms can accommodate

Answers

The maximum number of guests that can fill all the standard rooms is twice the number of the standard rooms

How to find the number of guests that can fill the standard rooms

Information from the question

each standard room can fill 2 guests

the maximum number of guests that all standard rooms can accommodate = ?

The problem is solved by multiplication

each standard room (1) = 2 guests

all standard rooms = ?

cross multiplying

? * 1 = 2 * all standard rooms

? = all standard rooms times two

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If using the method of completing the square to solve the quadratic equation
x² - 13x +31 = 0, which number would have to be added to "complete the
square"?

Answers

To make a square using the method of completing the square.

[ (a + b)² = a² + 2ab + b² ]

[ (a - b)² = a² - 2ab + b² ]

x² - 13x + 31 = 0

(x - 13/2)² + (293/4) = 0

The number added to complete the square is 293/4.

What is a polynomial?

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

We have,

x² - 13x + 31 = 0

To make a square using the method of completing the square.

[ (a + b)² = a² + 2ab + b² ]

[ (a - b)² = a² - 2ab + b² ]

x² - 2 x (13/2)x + (13/2)² - (13/2)² + 31 = 0

(x - 13/2)² + 169/4 + 31 = 0

(x - 13/2)² + (293/4) = 0

Thus

The number added to complete the square is 293/4.

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Calculate the standard score (z-score) of the given sample mean. Round your answer to two decimal places.

μ=31 and σ=9; n=64; x¯=30

Answers

The standard score (z-score) of the given sample mean is equal to 7.11

What is a standard score?

A standard score is also referred to as a z-value or z-score and it can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.

Mathematically, the standard score of a given sample mean can be calculated by using this formula:

[tex]Z=\frac{\bar{x}\;-\;\mu}{ \frac{\delta}{n} }[/tex]

Where:

Where:

x represents the sample score.u represents the mean point.z represents the standard score.σ represents the standard deviation.n represents the number of samples.

Substituting the given parameters into the formula, we have;

Standard score, z = (30 - 31)/(9/64)

Standard score, z = -1/0.140625

Standard score, z = 7.11

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Find the exact arc length of f(x)=√2x+1 0≤x≤4

Answers

The exact arc length of f(x)=√2x+1 is 4.5.

The arc length is the separation between two points along a curve segment. The arc length of a function f(x) is given by the formula,

[tex]L=\int\limits^a_b {\sqrt{1+f'(x)^2}} \, dx[/tex]

Where f'(x) is derivative of function f(x). The arc length is, to put it simply, the distance that passes across the curved line of the circle that forms the arc. It should be noted that the arc's length is greater than the separation of its ends along a straight line.

Finding the arc length of f(x)=√2x+1 0≤x≤4, using the formula,

First finding the derivative of function,

[tex]f'(x)=\frac{d(\sqrt{2x+1})}{dx} \\\\=\frac{2}{2\sqrt{2x+1}} \\\\=\frac{1}{\sqrt{2x+1}}[/tex]

Now, putting the derivative of function f(x) in the formula of arc length L,

[tex]L=\int\limits^a_b {\sqrt{1+f'(x)^2}} \, dx\\\\L=\int\limits^4_0 {\sqrt{1+(\frac{1}{\sqrt{2x+1}})^2}} \, dx\\\\L=\int\limits^4_0 {\sqrt{1+\frac{1}{2x+1}}}\\\\L=\int\limits^4_0 {\sqrt{\frac{2x+1+1}{2x+1}}}\\L=\int\limits^4_0 {\sqrt{\frac{1}{2x+1}}}\\\approx4.5[/tex]

Therefore, the exact arc length of f(x)=√2x+1 is 4.5.

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An earthworm accelerates from a speed of 0.01 m/s to 0.02 m/s over a distance of 0.9 m. How long did it take?

Answers

By using the formula of acceleration, it can be calculated that

Time taken by an earthworm  to accelerate from a speed of 0.01 m/s to 0.02 m/s over a distance of 0.9 m is 59.88 s

What is acceleration?

At first, it is important to know about velocity

Distance travelled by a body per unit interval of time in a particular direction is called Velocity

The rate of change of velocity is called acceleration.

Acceleration is a vector quantity as the direction is taken into account.

Initial velocity of earthworm (u)= 0.01 m/s

Final velocity of earthworm (v) = 0.02 m/s

Distance (s) = 0.9 m

We know,

[tex]v^2 = u^2 + 2as\\0.02^2 = 0.01^2 + 2 \times a \times 0.9\\0.02^2 - 0.01^2 = 1.8a\\(0.02 + 0.01)(0.02 - 0.01) = 1.8a\\a = \frac{0.03 \times 0.01}{1.8}\\a = 0.000167 \ ms^{-2}[/tex]

Again,

v = u + at

0.02 = 0.01 + 0.000167[tex]\times[/tex] t

t = [tex]\frac{0.02 - 0.01}{0.000167}[/tex]

t = 59.88 s

Time taken by an earthworm  to accelerate from a speed of 0.01 m/s to 0.02 m/s over a distance of 0.9 m is 59.88 s

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PLEASE HELP! ALGEBRA 1 HW I WILL GIVE BRAINLYEST FOR ANSWER!!​

Answers

In the given equation [12.5x + 5y = C] the constant C is always 50 with different given values of x and y.

What do we mean by equations?A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation. As in 3x + 5 Equals 15, for instance. Equations come in a variety of forms, including linear, quadratic, cubic, and others.

So, the values of C are:

Equation: 12.5x + 5y = C

Calculate as follows:

(A) When x = -2 and y = 15.

12.5(-2) + 5(15) = CC = 50

(B) When x = 0 and y = 10.

12.5(0) + 5(10) = CC = 50

(C) When x = 2 and y = 5.

12.5(2) + 5(5) = CC = 50

(D) When x = 4 and y = 0.

12.5(4) + 5(0) = CC = 50

Therefore, in the given equation [12.5x + 5y = C] the constant C is always 50 with different given values of x and y.

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1. A sign in front of a roller coaster says "You must be 40 inches tall to ride." What percentage of this
height is:
a) 34 inches?
b) 54 inches?

Answers

The required percentage of height of 34 and 54 inches are 85% and 135%.

Given that,
The percentage of the height of 34 inches and 54 inches against the height of 40 inches is to be determined.

What is the percentage?

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,

a,
percentage = 34/40 × 100%
Percentage = 85%

b,
percentage = 54/40 × 100%
Percentage = 135%

Thus, the required percentages of height of 34 and 54 inches are 85% and 135%.

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What is 8% off of 12$?

Answers

Answer:

11.04 U.S. dollars

Step-by-step explanation:

because it is the answer I looked it up (;-;)

expand and simplify 3(2x+1)+(x+4)

Answers

First distribute the three and multiply. Then add like terms. Then find GCF.
6x+3+x+4
7x+7
7(x+1)

In the first five math quizzes, Patty had an average score of 8. She got a 7 and a 5 on the next two quizzes. After the eighth quiz, her
average stood at 7.5. What was her score on the eighth quiz?
*

Answers

Answer: 8

Step-by-step explanation:

(Sum of first 5 quizzes) / 5 quizzes = 8

Sum of 1st 5 quizzes = 8 x 5 = 40

let x = score on the 8th quiz

(40 + 7 + 5 + x) / 8 = 7.5

52 + x = (7.5)(8) = 60

x = 60 - 52 = 8

Divide 647,457 by 325,712,318

Answers

The answer is 0.00198781…

y5 • y14 =
A. 2y19
B. y60
C. y19
D. 2y60
ALGEBRA

Answers

i believe the answer is D

Select the correct rational numbers.

Answers

-4 2/3 ,-3 2/3, -1 2/3 2/3

lliot and Jack share some money in the ratio . 8:5 Elliot got £21 more than Jack. Work out how much money Elliot received. Elliot received £

Answers

If lliot and Jack share some money in the ratio . 8:5 Elliot got £21 more than Jack. The amount that Elliot received is £56.

How to find the amount received?

Given data;

Sharing ratio 8:5

Amount Elliot got = 21

In order to determine  the amount that Elliot received we need to formulate and equation and then use the formulated equation to find the amount received.

Equation

21 × 8 ÷ (8-5)

Hence,

£21 × 8 ÷ (8-5)

£168 ÷ 3

=  £56

Therefore Elliot received £56.

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In how many ways can a person order one ice cream cone with 3 different flavors of ice cream if there are 11 flavors to choose from and it matters to the person how the 3 flavors are stacked on the one cone? That is, which flavor is on top, middle, and bottom.

Answers

Answer:

I think the answer is 33?

Given that a geometric progression has a = -2 and r = -0.5, Determine values for the: (i) fifth term of the GP. [3 marks] (ii) sum of the first 20 terms [4 marks]

Answers

The fifth term of the geometric progression is -0.125 and the sum of the first 20 terms is  [tex]\frac{4}{3}(\frac{1-2^{20} }{2^{20} }) }[/tex]

What is a geometric Progression?

A geometric progression or a geometric sequence is the sequence, in which each term is varied by another by a common ratio.

All terms of a geometric progression have a common multiple called the common ratio.

if a = -2, which is first term

r = -0.5 which is common ration,

Then fifth term = a[tex]r^{4}[/tex]

substitute a and r into the above equation, you have

fifth term = (-2)([tex](-0.5)^{4}[/tex] = - 0.125

sum of G.P when the common ratio is less than 1, we have

[tex]\frac{a(1 - r^{n} )}{1 - r}[/tex]

where n = number of terms = 20

sum = [tex]\frac{-2(1 - (-0.5)^{20}) }{1--0.5}[/tex] =  [tex]\frac{4}{3}(\frac{1-2^{20} }{2^{20} }) }[/tex]

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