How much larger is the volume of cylinder when you quadruple the radius of the base?

Answer:

[tex]f(x) =(x-1)(x-2)(x-3)[/tex]

Step-by-step explanation:

Given

[tex]f(x) = x^3-6x^2+11x-6[/tex]

Required

The factored form

[tex]f(x) = x^3-6x^2+11x-6[/tex]

Split

[tex]f(x) =x^3 -3x^2- 3x^2 +2x +9x -6[/tex]

Rearrange as:

[tex]f(x) = x^3 -3x^2 +2x - 3x^2+9x -6[/tex]

Factorize

[tex]f(x) = x(x^2 - 3x + 2) - 3(x^2 - 3x + 2)[/tex]

Factor out [tex]x^2 - 3x + 2[/tex]

[tex]f(x) = (x^2 - 3x + 2)(x - 3)[/tex]

Expand

[tex]f(x) = (x^2 - 2x - x + 2)(x - 3)[/tex]

Factorize

[tex]f(x) = (x(x - 2) - 1(x - 2))(x - 3)[/tex]

Factor out [tex]x - 2[/tex]

[tex]f(x) = (x - 1) (x - 2)(x - 3)[/tex]

Answer:

a) SAT score = 1075

b) ACT score = 19.2.

c) ACT score = 27.9.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

(A) If a student gets an SAT score that is the 51-percentile, find the actual SAT score

SAT scores have mean 1070 and standard deviation 204, so [tex]\mu = 1070, \sigma = 204[/tex]

51th percentile means that Z has a p-value of 0.51, so Z = 0.025. The score is X. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.025 = \frac{X - 1070}{204}[/tex]

[tex]X - 1070 = 0.025*204[/tex]

[tex]X = 1075[/tex]

SAT score = 1075.

(B) What would be the equivalent ACT score for this student?

ACT scores have mean of 19.1 and standard deviation of 5.2, which means that [tex]\mu = 19.1, \sigma = 5.2[/tex]. The equivalent score is X when Z = 0.025. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.025 = \frac{X - 19.1}{5.2}[/tex]

[tex]X - 19.1 = 0.025*5.2[/tex]

[tex]X = 19.2[/tex]

ACT score = 19.2.

(C) If a student gets an SAT score of 1417, find the equivalent ACT score.

Z-score for the SAT:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{1417 - 1070}{204}[/tex]

[tex]Z = 1.7[/tex]

Equivalent score on the ACT:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.7 = \frac{X - 19.1}{5.2}[/tex]

[tex]X - 19.1 = 1.7*5.2[/tex]

[tex]X = 27.9[/tex]

ACT score = 27.9.

Answer:

Isreal

Step-by-step explanation:

15% of 1000 is 150x10=1500

2% of 3000 is 60x10=600

Answer:

C

Step-by-step explanation:

I think it’s C because under the numbers it says pets they own so the x has to be the fourth graders

Answer:

C

Step-by-step explanation:

It says it below the number line!! hoped this helped

Answer:

Tank B

Step-by-step explanation:

Proportional relationships are relationships between two variables with equivalent ratios. For a proportional relationship, one variable is always a constant value times the other. A line is a proportional relationship if it starts from the origin, but if it does not start from the origin, it is not proportional.

From the two tanks, we can see that tank A have a y intercept whereas tank B starts from the origin. Therefore tank B shows a proportional relationship.

Answer:

See attachment for plot

Step-by-step explanation:

Given

[tex]l = 4h[/tex]

Required

Represent the scenario on a graph

When h = 0

[tex]l = 4h= 4 * 0 = 0[/tex]

When h = 1

[tex]l = 4 * 1 = 4[/tex]

When h = 2

[tex]l = 4 * 2 = 8[/tex]

When h = 3

[tex]l = 4 * 3 = 12[/tex]

When h = 4

[tex]l = 4 * 4 = 16[/tex]

When h = 5

[tex]l = 4 * 5 = 20[/tex]

So, we have:

[tex](h,l) = (0,0)[/tex]

[tex](h,l) = (1,4)[/tex]

[tex](h,l) = (2,8)[/tex]

[tex](h,l) = (3,12)[/tex]

[tex](h,l)= (4,16)[/tex]

[tex](h,l)= (5,20)[/tex]

See attachment for plot

Answer:

3692.64 cm³

Step-by-step explanation:

Answer:

Its the first one

Step-by-step explanation:

It is a statistical question because the data may vary for each player. :)

Answer:

y = -1/2

Step-by-step explanation:

Use the inverse variation equation, y = [tex]\frac{k}{x}[/tex]

Plug in 2 as x and -4 as y, then solve for k:

y = [tex]\frac{k}{x}[/tex]

-4 = [tex]\frac{k}{2}[/tex]

-8 = k

So, the equation is y = [tex]\frac{-8}{x}[/tex]

Plug in 16 as x and solve for y:

y = [tex]\frac{-8}{x}[/tex]

y = [tex]\frac{-8}{16}[/tex]

y = -1/2

So, when x = 16, y = -1/2

Answer:

B. -0.5

Step-by-step explanation:

I calculated it logically

Given:

The given sum is:

[tex]\sum _{k=4}^9(5k+3)[/tex]

To find:

The expanded form and find the sum.

Solution:

We have,

[tex]\sum _{k=4}^9(5k+3)[/tex]

The expanded form of given sum is:

[tex]\sum _{k=4}^9(5k+3)=(5(4)+3)+(5(5)+3)+(5(6)+3)+(5(7)+3)+(5(8)+3)+(5(9)+3)[/tex]

[tex]\sum _{k=4}^9(5k+3)=(20+3)+(25+3)+(30+3)+(35+3)+(4+3)+(45+3)[/tex]

[tex]\sum _{k=4}^9(5k+3)=23+28+33+38+43+48[/tex]

[tex]\sum _{k=4}^9(5k+3)=213[/tex]

Therefore, the correct option is C.

Answer:

Solution given:

a = 12, b = 5, c = 9

We have

: a² = b² + c² – 2bc cos A

12²=5²+9²-2×5×9 cos A

12²-25-81=-90 cos A

cos A=38/-90

A=cos -1(-19/45)

A=115°

is a required answer.

Answer:

432

Step-by-step explanation:

216 + 216

= 432

Hope this helps!

Please mark me Brainliest!

Have a nice day

Answer:

2

Step-by-step explanation:

Answer:

-2 + 10=8

Adding a negative to a positive is just like subracting whole numbers so

10-2=8

so 2 would be your answer

have a great day, also can i get brainliest pls ty :3

Answer:

Pay your loan payments on time, every time.

Step-by-step explanation:

The other answers either hurt or have no effect on your credit score.

The option 2 and 3 is right get a good credit score. Avoid the options 1 and 4.

To get a good credit score, you should follow these steps:

Pay your loan payments on time, every time: Timely payments are one of the most crucial factors in building a good credit score. Consistently paying your bills and loans on or before the due date shows lenders that you are a responsible borrower.

Don't apply for credit excessively: Each time you apply for new credit, a hard inquiry is made on your credit report, which can temporarily lower your score. Applying for multiple credit accounts in a short period may signal financial instability to lenders.

Avoid options 1 and 4:

Paying credit card and loan payments late: Late payments negatively impact your credit score and show a lack of responsibility in managing credit.

Going above your credit limit: Maxing out your credit cards or going above the credit limit can harm your credit score as it indicates a higher risk of defaulting on your debts.

Hence, the option 2 and 3 is right get a good credit score. Avoid the options 1 and 4.

Learn more about Loan here:

https://brainly.com/question/11794123

#SPJ6

Answer: the answer is 8 because

Step-by-step explanation:

9514 1404 393

Answer:

  2. Given

  4. SAS postulate

Step-by-step explanation:

Reason 2: Statement 2 is one of the Given statements.

Reason 4: You have shown that two sides and the angle between them are congruent. The Side-Angle-Side (SAS) congruence postulate applies.

Answer:

He can lift 160 pounds

Step-by-step explanation:

125 (from last year) + 35 (more pounds) = 160 (total pounds)

125 + 35 = 160

Answer:

Step-by-step explanation:

If you want to find out how many times larger something is than something else, you have to divide. We will set up a problem that looks like this:

[tex]\frac{2.1*10^8}{4.2*10^2}[/tex]

Diving 2.1 by 4.2 gives us .5; to divide the exponents, we remember that if we divide like bases we have to subtract the exponents. 10 is our base in both cases, so 8 - 2 gives us 6, resulting in:

[tex].5*10^6[/tex]

However, this isn't in scientific notation. We need to move the decimal one more place to the right, which in trn reduces the exponent by 1:

[tex]5*10^5[/tex]

Answer:

4/5

Step-by-step explanation:

slope = (difference in y)/(difference in x)

slope = (-5 - 3)/(-5 - 5)

slope = -8/(-10)

slope = 4/5

Answer:

Solution given

:total n[U]=590

customers using coupon n[C]=177

the percentage of all customers who often use coupons=177/590×100%=30%.

If n[U]=5000

no of customer using coupon be x

we have

30% of 5000=x

x=30/100×5000

x=1500

Answer:

Hi i know im very late answering this question but i believe the correct option is: b = 2C - a

Step-by-step explanation:

I believe this is the answer because:

2C = the average of 2 test scores combined

A and B = the two scores

were trying to solve for b so what we would do to figure that out is have the average of both test scores and then subtract A which will leave you with only B. therefor the answer is B = 2C - a

hope this helped.

Answer:

the last one

Step-by-step explanation:

Answer:

The 2nd one (the one you chose) is right thats the answer

Step-by-step explanation:

Answer:

[tex]108\frac{1}{3}[/tex] %

Step-by-step explanation:

[tex]\frac{25}{12} :\frac{y}{100}[/tex]

12 · y = 25 · 100

12y = 2500

12y ÷ 12 = 2500 ÷ 12

[tex]y=208\frac{1}{3}[/tex]

[tex]208\frac{1}{3} - 100 = 108\frac{1}{3}[/tex]

Answer:

2 5/8

Step-by-step explanation:

10 5/8 - 8

Answer: The  maximum   value is   -3.75  

Note: -3.75 = -15/4

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

Explanation:

The given quadratic is in the form y = ax^2 + bx + c, where,

We'll plug the values of 'a' and b into the formula below

h = -b/(2a)

h = -1/(2(-1))

h = 1/2

h = 0.5

This represents the x coordinate of the vertex. Recall the vertex is (h,k).

Plug this x value into the function to find its corresponding y coordinate

y = -x^2 + x - 4

y = -(0.5)^2 + 0.5 - 4

y = -3.75

The vertex is located at (0.5, -3.75)

Since a < 0, this means the parabola opens downward and that the vertex is the highest point on the parabola. Therefore, the largest y can get is y = -3.75 which we consider the maximum.

The graph visually helps confirm this (see image attachment).

Side note: -3.75 = -15/4

-------------------

Here's another way we can find the vertex (h,k). We'll complete the square to get the function into vertex form

y = -x^2 + x - 4

y + 4 = -x^2 + x

y + 4 = -(x^2 - x)

y + 4 = -(x^2 - x + 0)

y + 4 = -(x^2 - x + 0.25 - 0.25) .... see note below

y + 4 = -(x^2 - x + 0.25) -(-0.25)

y + 4 = -(x^2 - x + 0.25) + 0.25

y + 4 = -(x - 0.5)^2 + 0.25

y = -(x - 0.5)^2 + 0.25 - 4

y = -(x - 0.5)^2 - 3.75

This is in the form y = a(x-h)^2 + k where (h,k) = (0.5, -3.75).

Note: The x coefficient is -1 which cuts in half to -0.5, then that squares to 0.25

Answer:

speed = 78 miles per hour

Step-by-step explanation:

Speed is distance divided by time

speed = 234 miles / 3 hours

speed = 78 miles per hour