The radius of a cylindrical gift box is ​(3x+1​) inches. The height of the gift box is twice the radius. What is the surface area of the​ cylinder? Write your answer as a polynomial in standard form.

Answers

Answer 1

Answer:

56πx² + 36πx + 6π square inches

Step-by-step explanation:

The radius of a cylindrical gift box is ​(3x+1​) inches. The height of the gift box is twice the radius. What is the surface area of the​ cylinder? Write your answer as a polynomial in standard form.

The surface area of a cylinder is given as:

2πr(r + h)

The radius of a cylindrical gift box is ​(3x+1​) inches.

The height of the gift box is twice the radius = 2(3x + 1) inches

= 6x + 2 inches

The surface area of the cylinder is:

= 2 × π × 3x + 1( 3x + 1 + 6x + 2) square inches

= 2 × π × 3x + 1(9x + 3) square inches

= 2π × 3x + 1(9x + 3) square inches

= 6πx + 2π( 9x + 3) square inches

= 6πx (9x + 3) + 2π( 9x + 3) square inches

= 56πx² + 18πx + 18πx + 6π square inches

= 56πx² + 36πx + 6π square inches

The surface area of the​ cylinder is 56πx² + 36πx + 6π square inches


Related Questions

I need help solving the question below

Answers

Answer:

18

Step-by-step explanation:

Answer:

its answer is 18.......

Julie is keeping stats for the baseball team. In 4 games, they scored 28 runs. What is the average number of runs for the 4 games? Enter your answer.

Answers

7 runs because 28 divided by 4 is 7

On one island there lived two friends, Ana and Banana. One of them always tells the truth, while the other always lies. When asked which one is the liar among them, they said: Ana: "Banana ate ten apples yesterday, and he is telling the truth." Banana: "No, I ate five apples yesterday, and Ana is lying." How many apples did Banana eat yesterday?

Answers

Answer:

Number of apples ate = 5

Step-by-step explanation:

Fact:

One of them always tells the truth, while the other always lies.

To find how many apples banana ate, we have to figure out who is lying between Ana and Banana.

Ana: "Banana ate ten apples yesterday, and he is telling the truth."

If Ana is telling the truth, that means Banana is also telling the truth because of the statement (... and he is telling the truth).

This is not possible as one of them must be lying. The only option left is that Ana is lying.

Since Ana is lying, it means banana is telling the truth.

Banana: "No, I ate five apples yesterday, and Ana is lying."

Number of apples ate = 5

The sum of 3 and y is greater than 10

Answers

Answer:

3 + y > 10

Step-by-step explanation:

Is your expression.

Just use the keywords the sum of and greater than.

You must scuba dive to the entrance of your room at Jules' Undersea Lodge in Key Largo, Florida. The diver is 1 foot deeper than $\frac{2}{3}$ of the elevation of the entrance. What is the elevation of the entrance?

Answers

Answer:

the elevation of the entrance is -21

Step-by-step explanation:

The computation of the elevation of the entrance is shown below;

-15 = -1 + 2 ÷ 3e

e = -21

Hence, the elevation of the entrance is -21

We simply applied the above equation so that we can determine the elevation of the entrance

solve the inequality

Answers

the answer would be -9


A population of bacteria grows according to the function p(t) = po · 1.42, where t is measured in hours. If
the initial population size was 1,000 cells, approximately hoy long will the it take the population to exceed 10,000
cells? Round your answer to the nearest tenth.

Answers

Answer:

The time duration for the population to exceed 10,000 is approximately 6.6 hours

Step-by-step explanation:

The given equation for the population of a bacteria is presented as follows;

[tex]p(t) = P_0 \cdot 1.42^t[/tex]

Where;

t = The time duration in hours

The initial population of the cells = 1,000

Therefore, at t = 0, P(0) = 1,000 = P₀ × 1.42^0

∴  P(0) = 1,000 = P₀ × 1 = P₀

P₀ = 1,000

When the population is 10,000, we have;

P(t) = 10,000 = 1,000 × 1.42^t

∴ 1.42^t = 10,000/1,000 = 10

㏒(1.42^t) = ㏒(10) = 1

∴ t × ㏒(1.42) = 1

t = 1/㏒(1.42) = 6.56649071898

∴ The time duration for the population to exceed 10,000, t ≈ 6.6 hours.

PLEASE HELPP Find the value of x. Assume that segments that appear to be tangent are tangent. Round your answer to the nearest tenth.

Answers

The value of x assuming e that segments that appear to be tangent are tangent is 8

Circle geometry

The triangle inside the circle is right angles since the side length "x" is tangential to the circle.

To determine the value of "x", we will use the Pythagorean theorem as shown:

17^2 = x^2 + 15^2

289 = x^2 - 225
x^2 = 289 - 225
x^2 = 64

x = 8

Hence the value of x assuming e that segments that appear to be tangent are tangent is 8

Learn more on geometry here: https://brainly.com/question/24375372

#SPJ2

Answer:

Step-by-step explanation:

For what values of x will this function be defined?

Answers

Answer:

U have to put up the graph or something so i can answer your question.  thank you!

Step-by-step explanation:

Which product is positive?

Answers

Either the first or third are positive

HELP DUE IN 10 MINS! Finish the statement.

Corresponding sides of similar figures are??

Answers

Answer:

proportional

Step-by-step explanation:

Answer:

Proportional

Step-by-step explanation:

A consumer charges a 2530.16 purchase on the credit card the card has a daily interest rate of .042% if the consumer piece of the balance at the end of 30 days how much more in interest will they pay for the purchase? A point $.32 be $3.19 C $31.88 D $318.78

Answers

Answer:

$31.88

Step-by-step explanation:

Given

Consumer charges = 2530.16cents

Consumer charges in dollars = $25.3016

Interest rate per day = 0.042%

Interest gotten per day = 0.042×25.3016

Interest per day = $1.06266

Interest in 30 days = ,30×1.06266

Interest in 30 days = $31.88

Answer:

c pls mark barliest

Step-by-step explanation:

2. If y has a value of 4, give the following equation, what is the value of x? y 2
= 5x

Answers

Answer:

3.2

Step-by-step explanation:

I'm not totally sure what you mean. I'm reading it as y² = 5x

So let y = 4

4² = 5x            

16 = 5x                    Divide by 5

16/5 = x

3.2 =  x

Classify the polynomial.
-3y² – 2y + 4y - 1

Answers


3
y
2
+
2
y

1 yesimgood

What will your balance be on an investment of $1,000 at 4.% for 5 years compounded annually.
30 POINTS ANSWER

Answers

Answer:

200

Step-by-step explanation:

because if you take 4 percent of 1000 you get 40 and 40 x 5 is 200

Which side lengths form a right triangle?

Answers

Answer:

It is B

Step-by-step explanation: I think

the dog that cared about the cat

The Domain of a functions has which values?

Answers

Answer:

The domain of a function is the complete set of possible values of the independent variable. In plain English, the definition means: The domain is the set of all possible x-values which will make the function "work", and will output real y-values.

Step-by-step explanation:

HELPPPPPP AHHH PLAESEEEEEEE

Answers

Answer:

The answer is D 3x+y=1 and 3x-2y=16

Step-by-step explanation:

Correct ^^^^ I just checked!

Find the slope of the line that passes through the pair of points (6,-2) and (5,-4).
Show all work necessary and write your final answer in the box.

Answers

Answer:

slope = -10/7

Step-by-step explanation:

co-ordinates = (6,-2) (5,-4)

slope = (y² - y¹) / (x² - x¹)

slope = (-4 - 6) / (5 - (-2))

slope = (-10) / (5+2)

slope = (-10) / 7

slope = -10 / 7

Answer:

10/7

Step-by-step explanation:

Write an equivalent expression to 2 + 3 + 5 + 6 by combining like terms.

Answers

Answer:

answers are below

Step-by-step explanation:

(2+3) + (5+6)

(5) + (11)

equivalent expression: 5 + 11

is this the actual expression though? because in this case, i think that your expression should 2x + 3 + 5x + 6 and not what you mentioned.

however, if that is the case then your answer would be:

7x + 9

how many miles per hour is someone running is they run run 1/4 of a mile in 1/20 of an hour

Answers

Answer:

1/4x4=1

1/20x4=4/20 or 1/5 which means he can run 5 mile an hour.

Step-by-step explanation:

sorry if Mali.

Answer:

5 miles per hour

Step-by-step explanation:

I made 1/20 to 3 min

1/4 to a mile so x4 both 1/4 and 3 = 12

thats 1 mile per 12 min

60 min divided by 12 equals 5 miles per hour

the calculate the mean,____ all the numbers in the data set and then ____

A. add,divide
B.add,subtract
C.count,multiply
D.divide,add

Answers

Answer:

D

Step-by-step explanation:

D should be your answer

I think it’s b sorry if I’m wrong

The equation of a straight line is 3y + 9x -12 =0. Use the equation to find the
(1) gradient of the line ​

Answers

Answer:

-3

Step-by-step explanation:

Divide through the equation by the leading coefficient to obtain:

y+3x-4=0

y=4-3x

and our gradient is -3

help me out please.. thank uu

Answers

Answer: y = -1/4 * x - 4

Explanation:
Slope intercept form : y = mx + b
m = slope & b = y intercept
y = mx + b
y = -1/4(x) + b
y = -1/4(x) - 4

-1/4 is slope
-4 is y intercept

Ive been working in this for 4 hours please help I don’t understand it at all. I WILL GUVE BRAINLIEST* turned in today would be a life saver.

Answers

Answer:

273.25 feet2

Step-by-step explanation:

Daniela can only place the grass in the shaded areas and not the white areas so you want to start by finding the area of the full circle (12.5ft*25ft) and then subtracting the two equal quarter circles on the left and right corners, this can be done by using the radius given (5ft) and finding the area of what the full circle would have been 3.14*(5^2) which is equal too 78.5 (I got 3.14 from pi) and then dividing 78.5 by 4 to find the area of the quarter circle which is 19.625. since there are two quarter circles you multiply 19.625 by 2 and finally subtract your original recttangul by the two quarter circles 312.5(original rectangul)-39.25(the two quarter circles) giving you 273.25 feet2. hope that makes sense

please help with this! i will mark the best answer brainliest. (image included)

Answers

Answer:

6 units

Step-by-step explanation:

A'B'C' is equal to ABC

Can someone help me with these 3 questions please

Answers

Answer:

1. 1.5. 2.negitive 3. reciprocal hope it helps so sorry if its wrong

What is the length of a rectangle with an area of (4x^2-10x-6) and a width of (x-5)
Help lleaseee

Answers

Should be x=6 also it doesn’t let me send this without it being 20 characters so sorry for that

Add 8x to 2x and then subtract 5 from the sum. If x is a
positive integer, the result must be an integer multiple
of...
A. 2
B. 5
C. 8
D. 10
E. 15

Answers

Answer:10

Step-by-step explanation:

After Dan makes a basket, Josephine claims she can find the amount of time the ball was in the air (from the time it leave's Dan's hand to the time it enters the basket),

Josephine says she can do this by using Dan's equation (1) = -1649 +18 + 8) and setting the equation equal to zero. Dan doesn't think Josephine's thinking is correct.
Who do you agree with?
Explain your reasoning using mathematical evidence.

Answers

Answer:

Step-by-step explanation:

The function is to blurry to see but you would not set the height function equal to zero. Instead h should be set to the height of the basket. The time elapsed would be the second time the ball was at the height of the basket. If I guess what the function is as

-16t^2+18t+8=10

-16t^2+18t-2=0

-16t^2+16t+2t-2=0

-16t(t-1)+2(t-1)=0

(-16t+2)(t-1)=0

So the ball is at 10ft at 0.125s and 1s. So it enters the hoop after 1 second. Of course this is dependent on if I guessed at the correct equation from the picture.

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