-3a(a^2-10a+25)= expand it and it has to be in polynomial form

Answer:

125 : 729

Step-by-step explanation:

Given the ratio of the radii of 2 similar spheres = a : b , then

ratio of volumes = a³ : b³

Here the ratio of radii = 5 : 9 , thus

ratio of volumes = 5³ : 9³ = 125 : 729

Answer:

(x,y) = Any point on the line

m = the slope of the line

(x₁, y₁) = A given point on the line

Step-by-step explanation:

the equation of a straight line is;

y = mx + c

where;

x and y are any point on the line

m is the slope of the line

c is the intercept on the y axis

And a given point on (x,y) can be written as (x₁, y₁)

Therefore, for the case above;

(x,y) = Any point on the line

m = the slope of the line

(x₁, y₁) = A given point on the line

Answer:

Angle x is 75 degrees because 180-105 = 75  so the angle next to 105 is the alternate exterior angle to angle x which means they are equal

Step-by-step explanation:

Answer:

a) 75 deg

b) see below

Step-by-step explanation:

a)

x + 105 = 180

x = 75

b) <x and <ABF are supplementary since they are a linear pair, so

x + m<ABF = 180

Since lines AD and EH are parallel, corresponding angles ABF and EFG are congruent.

m<ABF = m<EFG

x + m<EFG = 180

x + 105 = 180

x = 75

Answer:

                [tex]8\frac23\ cm^2[/tex]

Step-by-step explanation:

sector of the circle if the angle at the center is 150° means  [tex]\frac{150^o}{360^o}[/tex] of full circle of given radius

area of a circle of given radius R is:  πR²

so area of given sector:

[tex]A=\dfrac{150^o}{360^o}\cdot \pi\cdot8^2=\dfrac5{12}\cdot3.1\cdot64=82,(6)=8\frac23\ cm^2[/tex]

The area of a sector of the circle if the angle at the center is 150° is 82.67 square centimeter.

A circle is a locus of a point whose distance always remains constant from a given specific point. The general equation is -

x² + y² = r²      (for circle centered at origin)

Given is a circle has a radius of 8 cm.

The area of the sector subtending the angle 150° at center is -

A = (150/360) x 3.1 x 8 x 8

A = 82.67 square centimeter.

Therefore, the area of a sector of the circle if the angle at the center is 150° is 82.67 square centimeter.

To solve more questions on circles, visit the link below-

https://brainly.com/question/17006280

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Answer:

e=9.14

Step-by-step explanation:

e²=a²+b²-2abcosФ

e²=36+25-2(30)cos112

e=√36+25-2(30)cos112

e=9.14

Answer:

A. 3x - 2y = 5

Step-by-step explanation:

Given line in the graph has the following properties:

using point (2,3)

m = slope = (y2-y1)/(x2-x1) = (5-2)/(2-0) = 3/2

New line passes through y0(3,2), so use the point-slope form

(y-y0) = m (x-x0)

substitute in value y0(3,2)

y - 2 = (3/2) (x - 3)

multiply by 2 on each side

2y - 4 = 3x - 9

simplify and rearrange

3x - 2y = -4 + 9 =5

3x - 2y = 5

so x = minus 9

then

7 × (-9) - 2y = 35

-63 - 2y = 35

-2y = 35 plus 63

-2y = 98

- y = 49

y = -49

Answer:

[tex]\boxed{y = -49}[/tex]

Step-by-step explanation:

=> [tex]7x-2y = 35[/tex]

Given that x = -9

=> [tex]7(-9) -2y = 35[/tex]

=> [tex]-63-2y = 35[/tex]

Adding 63 to both sides

=> [tex]-2y = 35+63[/tex]

=> [tex]-2y = 98[/tex]

Dividing both sides by -2

=> [tex]y = -49[/tex]

Answer:

Point form (2, -1/3   Equation form: x=2, y= -1/3

Step-by-step explanation:

Combine 4/3 and x

Replace all occurrences of y in 4x−6y=10 with 4x/3 -3

Simplify 4x− 6 (4x/3 -3)

Solve for x in the second equation.

Simplify  

4(2) /3−3

Answer:

[tex]\boxed{m<RUS = 65 \ degrees}\\\boxed{m<STU = 90 \ degrees}[/tex]

Step-by-step explanation:

Given that RU = 50°, So Central Angle ROU = 50° too because the measure of arc is equal to its central angle

Now, Let's assume a triangle ROU. It is an isosceles triangle since RO = RU (Radii of the same circle)

So,

∠ORU ≅ ∠OUR (Angles opposite to equal sides are equal)

So, we can write them as 2(∠RUO)

So,

2(∠RUO)+50 = 180 (Interior angles of a triangle add up to 180)

2(∠RUO) = 180-50

2(∠RUO) = 130

Dividing both sides by 2

∠RUO = 130/2

∠RUO = 65 degrees

m∠RUS = 65 degrees  (Both are the same)

In a semi circle (Given that SU is a diameter) , there must be a 90 degrees angle sin it opposite to the diameter.

So,

m∠STU = 90 degrees

From the diagram of circle k(O), m∠RUS = 65° and m∠STU = 90°

Given that:

m∠ORU = m∠OUR (isosceles triangle)

m∠ORU + m∠OUR + m∠ROU = 180° (angle in triangle)

50 + 2 * m∠OUR = 180

m∠OUR = 65°

m∠OUR =  m∠RUS = 65°

m∠STU = 90° (angle subtended at circumference by semicircle).

From the diagram of circle k(O), m∠RUS = 65° and m∠STU = 90°

Find out more on circle theorems at: https://brainly.com/question/17023621

Answer:

49.87% of the population has a heart rate between 68 and 77.

Step-by-step explanation:

We are given that the mean of the data for the resting heart of adults is 68 beats per minute and the standard deviation is 3 beats per minute.

Let X = the data for the resting heart of adults

The z-score probability distribution for the normal distribution is given by;

                          Z  =  [tex]\frac{X-\mu}{\sigma}[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = population mean = 68 beats per minute

           [tex]\sigma[/tex] = standard deviation = 3 beats per minute

Now, the percentage of the population that has a heart rate between 68 and 77 is given by = P(68 < X < 77)

    P(68 < X < 77) = P(X < 77) - P(X [tex]\leq[/tex] 68)

    P(X < 77) = P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{77-68}{3}[/tex] ) = P(Z < 3) = 0.9987

    P(X [tex]\leq[/tex] 68) = P( [tex]\frac{X-\mu}{\sigma}[/tex] [tex]\leq[/tex] [tex]\frac{68-68}{3}[/tex] ) = P(Z [tex]\leq[/tex] 0) = 0.50

The above probability is calculated by looking at the value of x = 3 and x = 0 in the z table which has an area of 0.9987 and 0.50 respectively.

Therefore, P(68 < X < 77) = 0.9987 - 0.50 = 0.4987 or 49.87%

Answer:

Her commission rate is 7.44%

Step-by-step explanation:

The parameters given are;

The amount Mary earns annually = $28,000

The amount Mary grossed during a week = $658.00

The amount Mary had sold during the week to make the amount grossed during the week = $1673.19

Given that Mary makes $28,000 per year

Therefore;

The amount Mary earns per week = Amount earned per year/52

The amount Mary earns per week =  $28,000/52 = $538.46

The amount extra she made on commission = $658.00- $538.46= $119.54

The commission rate = Commission earned/(Amount of merchandise sold)×100

The commission rate = 119.54/1673.19 × 100 = 7.14%

Her commission rate = 7.44%

Answer:

HF is 20 m away from the tower which makes it the base of a triangle

tan 30= opp/adj=PF/HF

PF=tan 30°(20)=11.547

tan 50=T F/20 ⇒ T F=20*tan 50= 23.835

PT= T F-PF= 23.835-11.547=12.288 m

b ) the distance from point H to the power is the hypotenuse

cos 50=adj/hyp

hypo(HT)= 20/cos 50=31.114

(HF at a new angle=40)

tan 40=opp/adj = T F/HF

HF=T F/tan40=23.835/tan 40=28.405

Answer:

6^5  * 9^5

Step-by-step explanation:

( 6*9) ^5

We know that ( ab) ^c = a^ c* b^c

6^5  * 9^5

Answer:

Step-by-step explanation:

to decrease a number by 40% i would do

100% = number you got

50% divide by 2

10%= dived 100% number by 10 then take the 10% away from the 50% to get 40%

then take the 40% away from the 100%

hope this helps :)

Answer:

x = -5

Step-by-step explanation:

-7(x + 2) = 21​

Divide each side by -7

-7/-7(x + 2) = 21​/-7

x+2 = -3

Subtract 2 from each side

x+2-2 = -3-2

x = -5

Answer:

x = -5

Step-by-step explanation:

distribute: -7x-14 = 21

add 14 to both sides

divide by -7

x = -5

Answer:

(x + 1)² + (y - 10)² = 4

Step-by-step explanation:

Standard form of the equation of a circle is given by,

(x - h)² + (y - k)² = r²

where (h, k) is the center of the circle and 'r' is the radius.

In the given question coordinates of the center A are (-1, 10) and radius of the circle is 2 units.

By substituting these values in the formula,

(x + 1)² + (y - 10)² = 2²

(x + 1)² + (y - 10)² = 4

Therefore, standard form of the equation of the given circle is (x + 1)² + (y - 10)² = 4

Answer:

The option B, perfectly gives it to the target, because if you think about it, four less, means 4-, but backwards, and three times, means 3x, and if you put that together, that perfectly matches the one you are looking for. Hope that this would help you!

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer: The answer is A.

Step-by-step explanation:

1.9x10^5= 190000

9.1x10^2= 910

7.9x10^4 =79000

Answer:

Just add 6 to the right side of 3 which will make as 36

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 = 36

Hope it helps u...pls mark as brainliest

Answer:

30 mph

Step-by-step explanation:

let s represent speed and h represent rebound.

Given that s is proportional to h then the equation relating them is

s = kh ← k is the constant of proportion

To find k use the condition s = 20, h = 10, then

20 = 10k ( divide both sides by 10 )

2 = k

s = 2h ← equation of proportionality

When h = 15 , then

s = 2 × 15 = 30 mph

Answer:

-3x

Step-by-step explanation:

-3 is the coefficient and x is the variable.  

Answer:

y = -2/3x + 4

Step-by-step explanation:

In an equation that represents a line, the number with which no variable is multiplied is the y-intercept.

The number with which "x" is multiplied is the slope.

So in this case, the slope is -2/3; so the equation should be like -2/3x.

The y-intercept is 4, so it is the number with which no variable is multiplied.

So the equation is:

=> y = -2/3x + 4

Answer:

y = StartFraction 5 Over 9 EndFraction

y=5/9

Step-by-step explanation:

Given:

x+6y=20

-x+3y=-15

x+6y=20. (1)

-x+3y=-15 (2)

From (1)

x=20-6y

Substitute x=20-6y into (2)

-x+3y=-15

-(20-6y)+3y = -15

-20+6y+3y = -15

9y=-15+20

9y=5

Divide both sides by 9

9y/9=5/9

y=5/9

y = StartFraction 5 Over 9 EndFraction

Answer:

y=-5/9

Step-by-step explanation:

9y=-5

---------- Divided by 9

9      9  

Y is equal to negative five over 9

Have a good day and stay safe!

Answer:

1,1,3,1,1

Step-by-step explanation:

Answer:

0       1

1        1

2       3

3       1

4       1

Step-by-step explanation:

You would just count how many 0 there are in the set and there are 1 and you would put in by 0. For 1 there are 1, for 2 there are 3, for 3 there are 1, and for 4 there are 1.

Answer:

A. (-8, 20)

Step-by-step explanation:

The formula for dilations is

[tex]\left(x_{1}\cdot t_{1},\ y_{1}\cdot t_{1}\right)[/tex] Where t is the scale factor

The first step is to plug in the numbers appropriately

[tex](-2*4,5*4)[/tex]

Then, multiply -2 by 4 and 5 by 4 to get

[tex](-8, 20)[/tex]

So your answer is (-8, 20)

Hope this helps

Have a great day! :)

I hope this helps you

Answer:

D

Step-by-step explanation:

You know that you have to find y, so eliminate choice B. She reads 30 per day, which is c, so you will have 30x. She also read 15 pages separately, so the 15 will be added on separately. With this, you get y = 30x + 15.

Answer:

D.

Step-by-step explanation:

Since she already read 15 pages in the bookstore, those 15 pages are constant since she cannot unread those pages. Those pages are the y-intercept of the equation.

Gwen is reading 30 pages per day, so her slope will be 30.

D. y = 30x + 15 will be her equation.

Hope this helps!

Answer:

(A), (C) and (D).

Step-by-step explanation:

An equation will have infinite solutions if both sides of the equal sign are the exact same thing, for instance [tex]4x+4=4x+4[/tex]. (You can test this with any value of x and find that they all work!)

So to find the equations that have infinite solutions, we need to see which have the same exact sides.

[tex]37x-37 = 37x-37[/tex] have the same thing on each side: [tex]37x-37\\[/tex], so this has infinite solutions.

[tex]74x-37 = 74-37[/tex] does not have the same thing on each side, so it doesn’t have infinite solutions (it has 1)

[tex]73x-37 = 73x-37[/tex] has the same thing on each side: [tex]73x-37[/tex], so this has infinite solutions.

And finally, [tex]x-37=x-37[/tex] has the same thing on each side: [tex]x-37[/tex], so it has infinite solutions.

Hope this helped!

Answer:

question is not clear please send clear question

Answer: the answer is b(5)

Step-by-step explanation:

To find the third term work backwards and plug it in. That was when you plug the solution of b(n-1) everything fits.

Answer:

b(3)=-16

Step-by-step explanation:

We have to figure out the second term

b(2)=b(1)-7

b(2)=-2-7

b(2)=-9

and now the third one

b(3)=b(2)-7

b(3)=-9-7

b(3)=-16