Emily wants to know the volume of a beach ball. She deduces that the beach ball has diameter of 12 inches, and then uses the following formula to find the volume: (3.14) (12) V = (3.14) (1728) (5425.92) V=7234.56 cubic inches Emily's answer is incorrect. What did she do wrong? She used the formula for a cylinder instead of the formula for a sphere She used the formula for a sphere instead of the formula for a cone. Multiplying (314)(1728) does not equal 5425.92. She used the beach ball's diameter when she should have used the radius​

Emily Wants To Know The Volume Of A Beach Ball. She Deduces That The Beach Ball Has Diameter Of 12 Inches,

Answers

Answer 1

Answer:

D. She used the beach's ball's diameter when she should have used the radius

Step-by-step explanation:

To find the volume of the beach ball, using the volume of a sphere is the right formula to use, which is ⁴/3πr³.

The formula she used is correct.

Since the diameter of the ball is assumed to be 12 inches, what is needed to find the volume is the radius.

Radius (r) = ½(diameter) = ½(12) = 6 in.

This is where Emily made a mistake.

She used the diameter of the beach ball instead of its radius (r) which is needed in the equation.

She should have gotten,

V = ⁴/3(3.14)(6)² = 904.32 cubic inches


Related Questions

Ciana Thomas drove her car 11,500 miles last year. Her fixed costs totaled $1,214 and her variable costs totaled $2,450. What was her cost per mile?

Answers

Answer:

11502

Step-by-step explanation:

What is the equation of the line with a slope of 1/4 and y-intercept of -2?

Answers

Answer:

y=1/4x+2

Step-by-step explanation:

The formula is y=mx+b, where m is the slope and b is the y-intercept

find the surface area please help

Answers

Answer:

the answer is 30

Step-by-step explanation:

hight x base²

Answer:

AS =282.7cm²

Step-by-step explanation:

SA = 3.14×r×L +3.14×r²

L²=5²+12²

L=13)

= 3.14×5×13 + 13.4x5²

AS=282.7cm²

[tex]\frac{25}{24} x \frac{18}{35} =\\[/tex]

Answers

Answer:

1307/840

Step-by-step explanation:

The heights of the pine trees in a certain forest are normally distributed, with a mean of 86 feet and a standard deviation of 8 feet.

Approximately what percentage of the pine trees in this forest are taller than 100 feet?

Answers

Answer:

4%

Step-by-step explanation:

We solve this question using z score formula

z = (x-μ)/σ,

where

x is the raw score = 100 feet

μ is the population mean = 86 feet

σ is the population standard deviation = 8 feet

Hence,

x > 100 feet

z = (100 - 86)/8

z = 1.75

Probability value from Z-Table:

P(x<100) = 0.95994

P(x>100) = 1 - P(x<100) = 0.040059

Converting to Percentage

= 0.040059 × 100

= 4.0059%

Approximately = 4%

Therefore, the percentage of the pine trees in this forest are taller than 100 feet is 4%

How many more lawns can Logan m
Logan and Brian both mow lawns.
Logan mows lawns at a constant speed. It takes Logan 4 hours to mow
8 lawns. PLZZ DO IT RIGHT NO LINKS PLZ

Answers

Answer: 1

Step-by-step explanation:

which is the correct answer? ( links = report )

Answers

The answer is letter C
Answer: C seems to be the correct answer!

WILL GIVE BRAINLIEST!!!!!!!!!!!! 20 points

Answers

Answer:

if they are same exact thing but mirrored, then just mirror it the way it needs to.

Example

-1 in the second by -3.4, 3.4 by  1

Which is the better value? 3 sandwiches for $15.00 or 4 sandwiches for $21.00? PLEASE EXPLAIN DO NOT PUT ANY LINKS

Answers

Answer:

3 for 15

cheaper

all you have to do is divide the number of sandwiches by the money.

(i answered again because its a waste of points)

owen follows the rule divide by 2 to write the pattern below. he will write two more numbers to complete the pattern. which statement is true?

Answers

Answer:

Every number in the pattern will have a 0 or a 5 in its ones place

Step-by-step explanation:

Given

Rule: Divide by 2

[tex]800, 400, 200, 100, [\ ], [\ ][/tex]

See attachment for complete question

Required

Which statement is true

First, we apply the rule to complete the blanks.

Divide by 2 implies that we divide the current element by 2, to get the next

So, the first blank becomes

[tex][\ ] = \frac{100}{2} = 50[/tex]

The next is:

[tex][\ ] = \frac{50}{2} = 25[/tex]

So, we have:

[tex]800, 400, 200, 100, 50, 25[/tex]

Compare each option with the above dataset, we have:

(a) False; because 25 do not have 0 in its 1's space

(b) False; because 50 and 25 do not have 0 in their 10's space

(c) True; because each of the dataset either have 0 or 5 in their 1's space

Please help!!
What is the sum of the measures of the angles of a 25-gon?

4,140º

25º

360º

2,500º

Answers

Answer:

4140°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 25 , then

sum = 180° × 23 = 4140°

What is the Surface Area Formula for a Square Pyramid? I need the formula

Answers

Answer:

The surface area of a square pyramid is the sum of the areas of all its 4 triangular side faces with the base area of the square pyramid. If a, h, and l are the base length, the height of the pyramid, and slant height respectively, then the surface area of the square pyramid = a2+ 2al (or) a2+2a √a24+h2 a 2 4 + h 2 .

Manuel works for the water company as a meter reader. The meter below is the Jansen's water meter. What is the reading, in ccf, on the meter shown?

Answers

Answer:

See Explanation

Step-by-step explanation:

Required

The meter reading in ccf

The question is incomplete, as the  meter readings is not given. So, I will solve using an assumed value for the meter readings.

Let

[tex]x\ m^3 \to meter\ readings[/tex]

The readings in ccf is:

[tex]Reading = \frac{x}{2.832}[/tex]

Now, assume the value of x is 25; The readings will be:

[tex]Reading = \frac{25}{2.832}ccf[/tex]

[tex]Reading = 8.83\ ccf[/tex]

A lidless box is constructed by cutting a square with side length x from a rectangular sheet of paper with dimensions a x b. After the cut is removed, the sides are folded up to form the
box.
a) Find the value of x (in terms of a and b) that maximizes the volume of the box.
b) Find the value of x that maximizes the volume of the box when a = 8.5 inches and b= 11 inches.

Answers

Answer:

a) [tex]x =\dfrac{a+b -\sqrt{(a + b)^2 - 3\cdot a \cdot b} }{6}[/tex]

b) The volume of the box is maximized when 'x' is approximately 1.585 feet

Step-by-step explanation:

a) Let 'a' represent the length of the rectangular sheet of paper and let 'b' represent the with of the rectangular sheet of paper, we have;

The length of the side of the square cut from the corners of the rectangular sheet of paper = x

The length of the box formed after cutting the square sides are;

The length of the box, l = a - 2·x

The width of the box, w =  b - 2·x

The height of the box, h = x

The volume of the box, V = l × w × h = (a - 2·x)·(b - 2·x)·x = 4·x³ - 2·a·x² - 2·b·x² + a·b·x

The value of 'x' that gives the maximum volume of the box is given by finding the extremum of the volume, 'V', of the box as follows;

At the extremum, dV/dx = 0

∴ d(4·x³ - 2·a·x² - 2·b·x² + a·b·x)/dx = 12·x² - 4·a·x - 4·b·x + a·b = 0

12·x² - 4·(a + b)·x + a·b = 0

[tex]x = \dfrac{4\cdot (a + b) \pm \sqrt{(-4\cdot (a + b) )^2-4 \times12\times a \cdot b } }{2 \times 24} =\dfrac{a+b\pm\sqrt{(a + b)^2 - 3\cdot a \cdot b} }{6}[/tex]

Found from part (b), the value of 'x' (in terms of 'a' and 'b') that maximizes the volume of the box is [tex]x =\dfrac{a+b -\sqrt{(a + b)^2 - 3\cdot a \cdot b} }{6}[/tex]

b), When a = 8.5 inches and b = 11 inches, we have;

x = (8.5 + 11 +√((8.5 + 11)² - 3×8.5×11))/6 = 4.914

x = (8.5 + 11 -√((8.5 + 11)² - 3×8.5×11))/6 ≈ 1.585

We get;

When x = 1.585, V = 4·1.585³ - 2·8.5·1.585² - 2·11·1.585² + 8.5·11·1.585 ≈ 66.15

When x = 4.914, V = 4·4.914³ - 2·8.5·4.914² - 2·11·4.914² + 8.5·11·4.914 ≈ -7.65

Therefore, the value of 'x' that gives the maximum volume of the box is x = (8.5 + 11 -√((8.5 + 11)² - 3×8.5×11))/6 ≈ 1.585

(The value of 'x' in terms of 'a' and 'b' is therefore;

[tex]x =\dfrac{a+b -\sqrt{(a + b)^2 - 3\cdot a \cdot b} }{6}[/tex])

The volume of the box is maximized when, x ≈ 1.585 feet

Can you plz help me!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

10 ft

Step-by-step explanation:

This is the Pythagorean theorem. a²+b²=c².

8²=64

6²=36

Now we add 64+36=100. Square root 100 to get 10 ft. (The answer is squared before so we have to square root it)

Sadie sold 45 cupcakes, which were packed in 9 boxes. How many cupcakes were in each box?

Answers

Answer:

5 cupcakes per box

Step-by-step explanation:

45 ÷ 9 = 5

:)

Answer:

45/9 or you could say 45 divided by 9 is equal to 5 sooooo!!!  9 x 5 is equal to 45.

Step-by-step explanation:

Noah saw some worms in his garden. He measured the length of each worm.
How many worms were longer than 3 inches?

Answers

Answer:

9 worms are longer than 3 inches

Step-by-step explanation:

you can just count how many are in in the rows after 3 and that is your answer

What is the difference of the polynomials?
(x2 - 6x + 2) - (3x? – 7x-8)

Answers

the difference is 10.

please help for all equations please. use the pythagorean theorem!!! i will give brainlyiest to the most helpful answer

Answers

Answer:

Do 15^2 +10^2=c^2 than put answer Into \sqrt()

Step-by-step explanation:

Step-by-step explanation:

Ok, so the pythagorean theorem is  a^2 + b^2  = c^

where c is the hypotenuse and b and a are the the other 2 sides

9) 10^2 + b^2 = 15^2

100 + b = 225

-100       -100

b^2 = 125

sqrt of 125 = 5

b = 5

10) 2^2 + 5^2 = C^2

4 + 25 = c^2

sqrt of 29 = c

c = [tex]\sqrt{29\\}[/tex]

11)  42^2 + a^2 = 48^2

1764 + a^2 =2304

-1764            -1764

a^2 = 540

a = [tex]6\sqrt{15}[/tex]

What is the volume of a cylinder with a height of 12.8 m and a base with a radius of 5.7 m, to the nearest tenth of a cubic meter?

Answers

Answer: 1306.5 m^3

Step-by-step explanation:

1. The formula for the volume of a cylinder is: V=[tex]\pi[/tex]r^2h

2. If you substitute the values into the equation, you get

V = pi * 5.7^2 * 12.8 = 1306.5

3. 1306.5 is already to the nearest tenth, so that is the answer.

2x + 5y = 10

i need the slope and y-intercept

Answers

Y intercept is found by having the x value equal 0 (and vise versus for x intercept) so 5y=10 or simplified y=2
Then you have to find the x intercept (2x=10 and or x=5) then it’s just run over rise (2/5)

Answer:

Slope: [tex]-\frac{2}{5}[/tex]

Y-intercept: 2

Step-by-step explanation:

We have to isolate y;

2x + 5y = 10

5y = -2x + 10

y = [tex]\frac{-2x + 10}{5}[/tex]

y = [tex]-\frac{2}{5} x + 2[/tex]

Hope this helps!

What is the value of x in the equation 2x + 3y = 36, when y = 6?
08
9
27
36​

Answers

2x+3(6)=36
2x+18=36
subtract 18 both sides
2x=18
x=9

How many cubes with side lengths of
1
2
cm
2
1

cmstart fraction, 1, divided by, 2, end fraction, start text, space, c, m, end text does it take to fill the prism?

Answers

question:

How many cubes with side lengths of \dfrac12 \text{ cm} 2 1 ​ cmstart fraction, 1, divided by, 2, end fraction, start text, space, c, m, end text does it take to fill the prism? ​

Step-by-step explanation:

81 cubes are needed to fill the prism

Step-by-step explanation:

Volume of prism = 3 cubic units

Side lengths of cube = 1/3

Therefore the volume of the cube is,

V = a³   (a = side of the cube)

V = 1/3 × 1/3 × 1/3

= ( 1/3 )³  

= 1/27 cubic units

To find the number of cubes needed to fill the prism, we need to divide the volume of cube by volume of the prism.

Number of cubes to fill the prism= Volume of prism / Volume of cube

= 3÷1/27

=3×27/1

= 81

Therefore, 81 cubes are needed to fill the prism



The Tennis Club decided to buy T-shirts for its members. Action Sports Apparel quoted the following prices for the T-shirts
Number of T-Shirts Total Cost (dollar)
12
156
17
211
22
266
Which equation best describes the relationship between the total cost, c(t), and the number of T-shirts, t?
ok

Answers

Answer:

12

Step-by-step explanation:

hi

Equation which describe relationship between total cost and number of t-shirt is    [tex]c(t)=75.93e^{0.06t}[/tex].

Data given are ,

Number of t-shirt (t)                  total cost c(t)

12                                            156

17                                             211

22                                            266

According to above table, exponential function best describes the relationship between the total cost, c(t), and the number of T-shirts, t.

Let,        [tex]c(t)=Ae^{kt}[/tex]

Substitute ,   t=12  and c(t) = 156

We get,     [tex]156=Ae^{12k}.......(1)[/tex]

Substitute ,  t=17 and c(t) = 211

We get,     [tex]211=Ae^{17k} ........(2)[/tex]

After solving above equations.

We get,    A = 75.93  and  k = 0.06

Thus,     [tex]c(t)=75.93e^{0.06t}[/tex]

Learn more:

https://brainly.com/question/12626186

Will give brainliest if correct! Which of the following is not a solution to the inequality 3−(7−2x)>−8?
A) -3
B) -1
C) 0
D) 1

Answers

Answer:

-3

Step-by-step explanation:

3-(7-2x) > -8

get rid of the parentheses because there is a minus sign before them

3-7+2x > -8

replace x with all the numbers (one by one not all at once) and see if the equation is correct until you find the number that makes it incorrect.

EXAMPLE:

3-7+2(1) > -8 parentheses next to a number means multiply

3-7+2 > -8

3-7 = -4

-4 + 2 = -2

-2 is greater than -8

- A box of specialty baking flour holds 2 kilograms. How many angel food cakes can be made with a recipe that calls for 100 grams of flour?

Answers

Answer:

20

Step-by-step explanation:

1000g = 1 kil0

2 x 1000 = 2000g

Number of cakes = 2000 / 100 = 20

Math Question:
Pls help I will do anything

Answers

Answer:

The probability of spinning red is [tex]\frac{1}{3}[/tex], the probability of spinning a 1 is [tex]\frac{1}{6}[/tex], the probability of spinning an odd number is [tex]\frac{1}{2}[/tex], and the probability of spinning a 9 is 0.

Step-by-step explanation:

Since there are a total of 6 possible outcomes, you can use this in the following questions. There are 2 red tiles, so the probability of spinning red is [tex]\frac{2}{6}[/tex] or [tex]\frac{1}{3}[/tex]. Since there are only one 1 tile, the probability of spinning a 1 is [tex]\frac{1}{6}[/tex]. Since there are three odd numbers, the probability of spinning an odd number is [tex]\frac{1}{2}[/tex]. Since there are no 9 in the spinner, the probability of spinning a 9 is 0 or never.

The annual yield per lemon tree is fairly constant at 390 pounds per tree when the number of trees per acre is 150 or fewer. For each additional tree over ​, the annual yield per tree for all trees on the acre decreases by 4 pounds due to overcrowding.

A. Express the yield per​ tree, Y, in​ pounds, as a function of the number of lemon trees per​ acre, x, where x is greater than 150.
B. Express the total yield for an​ acre, T, in​ pounds, as a function of the number of lemon trees per​ acre, x, where x is greater than 150.

Answers

Answer:

kbvhhjbvgivftivdtufyuffgi

In at least five (5) sentences, explain the effects of changing the “m" and the "b" in y=mx+b.
What happens when we use negative numbers for m? What happens when we use negative
numbers for b?

Answers

Changing the “m” or “b” would change the overall line on the graph. Meaning the line could be steeper or flatter. It could also change whether the line has a positive slope or negative. Likewise, when you use negative numbers for the m, the line will have a negative slope and will have a decreasing look to it. When you use negative numbers for the b, the y-intercept will be negative which will put the line further down the y-axis.

I hope this is what you were looking for! I kinda did it off the top of my head so of course feel free to change anything!!

2+3**1342=? Someone please trust trade me

Answers

Answer:

Step-by-step explanation:

Answer: hi

Step-by-step explanation:

ha lol imma waste your time now

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