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
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?
Answer:
11502
Step-by-step explanation:
What is the equation of the line with a slope of 1/4 and y-intercept of -2?
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
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]
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?
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
Answer: 1
Step-by-step explanation:
which is the correct answer? ( links = report )
WILL GIVE BRAINLIEST!!!!!!!!!!!! 20 points
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
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?
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
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
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?
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.
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!!!!!!!!!!!!!!!!!!!!!!!
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?
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?
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)
please help for all equations please. use the pythagorean theorem!!! i will give brainlyiest to the most helpful answer
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?
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
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
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?
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
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
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?
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
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.
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?
2+3**1342=? Someone please trust trade me
Answer:
Step-by-step explanation:
Answer: hi
Step-by-step explanation:
ha lol imma waste your time now