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Arte-miy333 [17]
3 years ago
6

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 are

a of the​ cylinder? Write your answer as a polynomial in standard form.
Mathematics
1 answer:
Mademuasel [1]3 years ago
5 0

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

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You pay 15,120 good luck
4 0
3 years ago
Read 2 more answers
Estimate V55 to the nearest integer.
Tema [17]

assuming is square root of 55:

You can solve the square root and roound to the nearest number:

√55 = 7.41

Since the number after the decimal point is 4, the square root is closest to 7 than to 5.

You can also campare √55 with closest integers that are perfect square:

below 55, the closest perfect square is 49 = 7^2

above 55, the closest perfect square is 64 =8^2

55-49 = 6

64-55 = 10

Since 49 is closest to 55, it's square root is the nearest. (7)

4 0
1 year ago
Janell hikes 1/3 mile every 1/6 hour. how far does he hike in 1 hour?
IRISSAK [1]

Answer:

2 miles

Step-by-step explanation:

1/3 times 6 equals 2

7 0
3 years ago
WILL GIVE FULL 34 POINTS! Find the domain of the composite function f*g if f(x) = x/(x+3) and g(x) = 2/x
andrew-mc [135]
(f*g)(x)=2/x /2/x+3
2/x / (2+3x)/x =
2/x *. x/(2+3x) =
2x / x(2+3x)

undefined when denominator is 0 or when x=0 or x=-2/3. the domain is all real numbers except these 2
3 0
3 years ago
Based on the Nielsen ratings, the local CBS affiliate claims its 11:00 PM newscast reaches 41 % of the viewing audience in the a
Fantom [35]

Answer:

null hypothesis is p=0.41

alternate hypothesis is p<0.41

Sample proportion is 0.36

critical value for a = 0.01 is -2.2326

z-statistic is −1,0166

critical value for the level of significance 0.10 is -1.28155

we fail to reject the null hypothesis in 0.01 significance level.

Step-by-step explanation:

Let p be the proportion of the viewing audience of 11:00PM CBS newscast in the area. Then

H_{0}: p=0.41

H_{a}: p<0.41

Sample proportion is 0.36 and critical value (left tailed) for a=0.01 is -2.2326

sample proportion Z-score can be calculated as follows:

z(0.36)=\frac{p(s)-p}{\sqrt{\frac{p*(1-p)}{N} } } where

  • p(s) is the sample proportion of vieved newscast (0.36)
  • p is the proportion assumed under null hypothesis. (0.41)
  • N is the sample size (100)

putting the numbers z(0.36)=\frac{0.36-0.41}{\sqrt{\frac{0.41*0.59}{100} } } =−1,0166

if the level of significance is 0.10 then critical value would be -1.28155.

in 0.01 significance level sample mean is not in the critical region, therefore we fail to reject the null hypothesis.

5 0
3 years ago
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