A newborn turtle has a shell with a 1-inch diameter. The shell keeps a similar shape as the turtle grows. After a year, the shell is 3 inches in diameter. Note: you do not need to know the shape of the shell to complete this question.

1. How many times greater is the volume of the turtle's shell after a year than it was when it was born?

2. How many times greater is the surface area of the turtle's shell after a year than it was when it was born?

Answers

Answer 1

Answer:

I think the volume would be 9 times greater, and the surface area would be 3 times greater

Step-by-step explanation:

Answer 2

Answer:

the volume would be 9 times greater

the surface area would be 3 times greater

Step-by-step explanation:

Because if the shell grows from 1 inch diameter to 3 inch diameter, the surface area will increase 3x more. And the volume I assume is 3x greater because of the height is presumably 3 inches as well.


Related Questions

What percent is represented by the region that is shaded? Exact
answers only (no rounding).

Answers

I jus sayin the park with the woods on the woods at the mall

Answer:

64 percent

Step-by-step explanation:

because there is 24 sq and 100 divided by 24 is 4, 4 times 16 is 64

There once was a fantastic football player named Leyton Channing. People often criticized him for not being
tough. They said when he played in harsh conditions like snow or frigid temperatures, he couldn't win.
After analyzing data, however, statisticians determined that there was no association between Leyton winning
and Leyton playing in harsh conditions. The frequency table below shows data for the games that Leyton played.
Fill in the missing values from the frequency table.

Answers

Answer:

Find the missing values by using the formula:

= Row total * Column total/Grand total

                                                Win                         Loss                      Row total

Normal Conditions                 154                         66                          220

Harsh Conditions                    14                             6                            20

Column Total                          168                            72                         240

Win - Normal conditions:                                       Loss - Normal conditions

= 220 * 168/240                                                      = 220 * 72/240

= 154                                                                        = 66

Win  - Harsh conditions                                          Loss - Harsh conditions

= 20 * 168 / 240                                                       = 20 * 72/240

= 14                                                                           = 6

A radar unit tracks a target which may use interference. If the target does not employ interference, then during on surveillance cycle the unit may detect it with probability p0. If it employs interference, then the unit may detect it with probability p1 < p0. The probability that the interference will be used in one cycle is p and does not depend on the way and time the interference was used in other cycles. Find the probability that the target will be detected at least once in n surveillance cycles.

Answers

Answer:

The probability that the target will be detected at least once in n surveillance cycles is given by the following expression: [tex]1 - (1-p_0+p(p_1-p_0))^{n}[/tex]

Step-by-step explanation:

For each surveillance cycle, there are only two possible outcomes. Either it detects the target, or it does not. Cycles are independent. This means that the binomial probability distribution is used to solve this question:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Probability of detecting a target:

p0 of 1-p (without interference)

p1 of p(with interference). So

[tex]\pi = p_0(1-p) + p_1p = p_0 + p(p_1-p_0)[/tex]

Find the probability that the target will be detected at least once in n surveillance cycles.

This is

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which

[tex]P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}[/tex]

[tex]P(X = 0) = C_{n,0}.(p_0+p(p_1-p_0))^{0}.(1-p_0+p(p_1-p_0))^{n} = (1-p_0+p(p_1-p_0))^{n}[/tex]

So

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - (1-p_0+p(p_1-p_0))^{n}[/tex]

The probability that the target will be detected at least once in n surveillance cycles is given by the following expression: [tex]1 - (1-p_0+p(p_1-p_0))^{n}[/tex]

The given number line shows the solutions to which inequality?

Answers are
A x+7=<5
Bx+3=>1
Cx-5>2
Dx-1<=
I dont think the answer is b or c

Answers

Answer:

the answer is c we just did this in class

HELP PLEEEASE DUE TODAY ALL MY POINTS

if ΔABC and ΔXYZ are similar which must be true

Answers

C.

You must match the letters.

Answer:

C)

Step-by-step explanation:

Hope that helps!

solve for x 3x/2= 15

Answers

Answer:

the answer is x=10

:)

Step-by-step explanation:

C. Find the value of x below:
15.r + 5
-2 + 16.

Answers

Answer:

7

Step-by-step explanation:

(15x + 5) and (-2 + 16x) represents the measures of corresponding angles.

Measures of corresponding angles are equal.

Therefore,

- 2 + 16x = 15x + 5

16x - 15x = 5 + 2

x = 7

A family borrows money for a rainforest tour. The simple annual interest rate is 12%. The loan is paid after 3 months. What is the total amount paid for the tour?

Answers

Answer:

1,266.90

Step-by-step explanation:

1. 940 + 170 + 120 = 1,230

2. 1,230 x 0.12 x 0.25 = 36.9

3. 36.9 + 1,230 = 1,266.90 (FINAL ANSWER)

evaluate 3 + jk + k3 when j = 2 and k = 6.​

Answers

Answer:

231

Step-by-step explanation:

Please help me with this question I really need help!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

The angles of a triangle add up to 180°.

∠4 = 180°-35°-90° = 55°

The cost of a tablet after a 20% discount can be represented by the expression t-0.2t. Simplify the expression

Answers

0.8t

Steps are on paper.

Step-by-step explanation:

simplified 0.16t I used a simplify calculator

One interior angle of a convex polygon (a convex polygon is a polygon where all angles
are less than 180 degrees) is 120 degrees. All the other angles are 130 degrees. How many sides
does the polygon have?

Answers

Answer:

7 sides

Step-by-step explanation:

120 + 130x = 180 * (x+1-2)

120 + 130x = 180x - 180

300 = 50x

x = 6

You get that x = 6, but there is still one angle that equals 120, so you have a 7 sided polygon.

Answer:

7

Step-by-step explanation:

PLEASE ANSWER QUICKLY I NEED AN ANSWER PLEASE ;0;

Answers

Answer:

infinitely many solution......

Find the width of rectangle which has perimeter of 24 cm and length is 8 cm. *​

Answers

Answer:

Breadth is 4cm

Step-by-step explanation:

Perimeter = 24cm

Length= 8cm

let the breadth be x

Perimeter = 2(l+b)

24 = 2(8+x)

24 = 16+2x

24-16 = 2x

8 = 2x

8÷2 = x

4 = x

Therefore, breadth is 4cm

PLS MARK ME AS BRAINLIEST★

what are the x intercepts of y=x^2-x-12

Answers

x intercept: (4,0) , (-3,0)
y intercept: (0,-12)

Hope this helps!

Answer:

The person at the top is right. Give them brainliest

El numero tal que su 35% es 7

Answers

no entendo ???????? isto

Please help thank you if you do

Answers

4/5 z = 2/7

7×4×z = 2× 5 (move the denominator of both fractions to the other side)

28z = 10

z = 10 ÷ 28

z = 5/14

Answer: The answer your looking for is 5/14

Step-by-step explanation: You want to leave the variable alone, so you divide both sides by 4/5. If you divide 2/7 by 4/5, you get 5/14.

find the formula for the nth term in the given sequence 12,36,108,324,972​

Answers

Answer:

[tex]\huge\boxed{a_n=12\cdot3^{n-1}=4\cdot3^n}[/tex]

Step-by-step explanation:

[tex]a_1=12\\\\a_2=36=3\cdot12=3a_1\\\\a_3=108=3\cdot36=3a_2=3\cdot3a_1=3^2a_1\\\\a_4=324=3\cdot108=3a_3=3\cdot3^2a_1=3^3a_1\\\\a_5=972=3\cdot342=3a_4=3\cdot3^3a_1=3^4a_1\\\vdots\\a_n=3^{n-1}a_1=3^{n-1}\cdot12\\\\3^{n-1}\cdot12=3^{n-1}\cdot3\cdot4=3^{n-1+1}\cdot4=4\cdot3^n[/tex]

[tex]\text{Used}\\\\a^n\cdot a^m=a^{n+m}[/tex]

Round 42,736,325 to the nearest million​

Answers

Answer:

i hope this helps  :)

Step-by-step explanation:

Grouped, 19546576 is 19,546,576. We underline through the millions place and mark the next digit. 19,546,576

Because the marked digit is 5, we increase 19 by 1 and replace all digits to the right with zeros: 20,000,000.

Thus 19,546,576 rounded to the nearest million is 20,000,000.

Answer:

43 million

43000000

Step-by-step explanation:

7 rounds up

After two six sided dice are rolled, what is the probability that the dice faces add up to either a 4 or 6?

Answers

6 = 36 because each die has 1 to 6 number on its faces.

Answer:

.222

Step-by-step explanation:

help me on this.


what can be used in step 3?​

Answers

Step-by-step explanation:

answer is been attached, hope u understand

Please help!! I will give you brain list

Answers

It would take you 16.84 or 17 weeks because 85,489÷10,153 equals 8.42 and if you multiply 8.42 by 2 you would get 16.84

Answer:

It will take you at least 17 full weeks to make twice what you spend on the arcade.

Step-by-step explanation:

The inequality will look like this: 10,153x ≥ 170,978

After 17 weeks, you'll have made $172,601, one week less you'll only make $162,448, so it will take you at least 17 full weeks to make twice what you spent on the arcade.

Out of 4/10, 3/4, 2/5, and 1/3 which fraction is the biggest?

Answers

Answer:

3/4

Step-by-step explanation:

3/4 = .75

4/10 = .40

2/5 = .40

1/3 = .33

Answer:

3/4 is greater then 4/10 and 2/5 is greater then 1/3 and that's all I know

Step-by-step explanation:

Which expression represents the algebraic phrase “eleven less than seven times a number”?
11x - 7
7x-11
11 + 7x
11-7x

Answers

11-7x because eleven less than is 11- and seven times a number is 7x

What is -5 + 7
I need too know this because I am in 7th grade for the 5th time and this is the unit that always made me fail. PLEASE HELP!!!

Answers

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Ok so what you wanna do is subtract 5 from 7 which is 2, the answer is 2

5,3,1,-1, common difference or common ratio

Answers

Answer:

Common

Step-by-step explanation:

If f(7) = 22, then
f^-1(22) = [?]

Answers

Answer:

it equals 7

Step-by-step explanation:

its just a rule, there is no step by step solution. if f(x)= y, then f^-1(y) = x

A circular garden is being designed so that it has a diameter of 15 feet. Fencing needs to be
put up around the garden at a cost of $2.75 per foot of fencing. Fencing can only be bought
in whole feet lengths.
(a) How many feet of fencing should be bought? (b) How much will the fencing cost?

Answers

Answer:

15 feet and the cost is $41.25

Step-by-step explanation:

To investigate whether there is a difference in opinion on a certain proposal between two voting districts, A and B, two independent random samples were taken. From district A, 35 of the 50 voters selected were in favor of the proposal, and from district B, 36 of the 60 voters selected were in favor of the proposal. Which of the following is the test statistic for the appropriate test to investigate whether there is a difference in the proportion of voters who are in favor of the proposal between the two districts (district A minus district B)? A. 35-36 A 50 B. 35-36 0.7 0.6 V 50 0 + 60 C. 0.7-0.6 (0..) (.x) (+) 0.7-0.6 D. V(0.7)(0.6) (Hot 50+60 0.7 -0.6 E. (0.7) (0.6) VE 60

Answers

Answer:

C:      t= x1`-x2`/√p^q^(1/n1 +1/n2)

0.7−0.6/(0.65)(0.35)√(1/50+1/60)

Step-by-step explanation:

The options given are

A

35−36/ 35/√50+3660

B

35−36/0.7/√50+0.660

C

0.7−0.6/(0.65)(0.35)√(1/50+1/60)

D

0.7−0.6/(0.7)(0.6)/√(1/50+1/60)

E

0.7−0.6/(0.7)(0.6)/√150+160

↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔↔

This is a test hypothesis about difference of  means between two proportions.

The test statistic used is

t= x1`-x2`/√p^q^(1/n1 +1/n2)

x1`= 35/50= 0.7

x2`= 36/60= 0.6

so

x1`-x2`

= 35/50-36/60

= 0.7-0.6

p^= 35+36/50+60= 71/110= 0.645= 0.65

q^= 1-p^= 1-0.65= 0.35

p^q^= (0.65) (0.35)

n1= 50 and n2= 60

therefore √1/n1 +1/n2= √1/50+1/60

Now Putting the values in the test statistics we get

t= x1`-x2`/√p^q^(1/n1 +1/n2)

0.7−0.6/√(0.65)(0.35)(1/50+1/60)

Hence C is the correct option

Using the z-distribution, it is found that the test statistic for the appropriate test to investigate whether there is a difference in the proportion of voters who are in favor of the proposal between the two districts is given by:

[tex]z = \frac{0.1 - 0}{0.0906}[/tex]

What are the hypothesis tested?

At the null hypothesis, it is tested if there is no difference between the proportions, that is, the subtraction is zero, hence:

[tex]H_0: p_A - p_B = 0[/tex]

At the alternative hypothesis, it is tested if there is a difference between the proportions, that is, the subtraction is not zero, hence:

[tex]H_1: p_A - p_B \neq 0[/tex]

What is the mean and the standard error for the distribution of the difference of proportions?

First, we find the mean and the standard error for each proportion:

[tex]p_A = \frac{35}{50} = 0.7[/tex]

[tex]s_A = \sqrt{\frac{0.7(0.3)}{50}} = 0.0648[/tex]

[tex]p_B = \frac{36}{60} = 0.6[/tex]

[tex]s_B = \sqrt{\frac{0.6(0.4)}{60}} = 0.0633[/tex]

Then, for the difference:

[tex]\overline{p} = p_A - p_B = 0.7 - 0.6 = 0.1[/tex]

[tex]s = \sqrt{s_A^2 + s_B^2} = \sqrt{0.0648^2 + 0.0633^2} = 0.0906[/tex]

What is the test statistic?

It is given by:

[tex]z = \frac{\overline{p} - \mu}{s}[/tex]

In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.

Hence:

[tex]z = \frac{0.1 - 0}{0.0906}[/tex]

To learn more about the z-distribution, you can take a look at https://brainly.com/question/16313918

Hey guys I need help with this question. Solve the system by substitution: x=-1 and 4x+2y=16

Answers

4(-1) + 2y = 16
-4 + 2y = 16
2y = 20
y = 10

I think this is how u do it..
4x + 2y = 16
4(-1) + 2y = 16
-4 + 2y = 16
+4 +4
2y = 20
/2 /2
y = 10
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