Answer:
333 cubic inches
Step-by-step explanation:
Hello, I can help you with this.
according to the question the maximum diameter of a bowling ball is 8.6 inches.
[tex]D_{max}=8.6 inches\\[/tex]
Step one
using this equation find the radius of the ball
remember
Diameter=2*radius
diameter/2= radius
put the value into the equation
8.6 inches/2= radius
radius=4.3 inches
Step two
using the known radius , find the volume
the volume of a sphere is given by
[tex]V=\frac{4}{3}\pi *radius^{3}[/tex]
put the value of radius into the equation
[tex]V=\frac{4}{3}\pi *(4.3\ in) ^{3} \\\\V=\frac{4}{3}\pi *79.507\ in ^{3}\\V=333.03 in ^{3}[/tex]
so, the volume to the nearest tenth of a bowling ball with this diameter is 333 cubic inches.
I hope it helps, have a good day.
Answer:
The volume of the bowling ball to the nearest tenth is v ≈ 106.0π in³ in terms of π or v≈332.9 in³
Step-by-step explanation:
To find the volume of the bowling ball, we will follow the steps below;
First write down the formula for calculating the volume of a sphere
v=[tex]\frac{4}{3}[/tex]πr³
where v = volume of the ball and r = radius of the ball
From the equation given, the diameter of the ball is 8.6 inches but radius is half of diameter, this implies that r= d/2 = 8.6/2 = 4.3, that is; radius=4.3 inches.
Let substitutes the value into the equation
v=[tex]\frac{4}{3}[/tex]×π×(4.3)³
v = [tex]\frac{4}{3}[/tex]×π×79.507
v =106.009π
v ≈ 106.0π in³
we can take π=3.14
v = 106.009×3.14
v =332.86826
v≈332.9 in³
The volume of the bowling ball to the nearest tenth is v ≈ 106.0π in³ in terms of π or v≈332.9 in³
find the sum of 997 + 992 + 987 +...+ 257 +252
Answer:
93,675
Step-by-step explanation:
We see that the given sequence is an arithmetic sequence with first term 997, common difference -5, and last term 252.
The number of terms in the sequence (n) can be found from the formula for the n-th term:
an = a1 +d(n -1)
(an -an)/d +1 = n
(252 -997)/(-5) +1 = n = 150
The sum of these terms is the average of the first and last terms, multiplied by the number of terms:
S150 = (997 +252)/2·150 = 93,675
The sequence sum is 93,675.
Make x the subject of the formula.
y = ax2 +b
Answer:
x = ± [tex]\sqrt{\frac{y-b}{a} }[/tex]
Step-by-step explanation:
Given
y = ax² + b ( subtract b from both sides )
y - b = ax² ( divide both sides by a )
[tex]\frac{y-b}{a}[/tex] = x² ( take the square root of both sides ), thus
x = ± [tex]\sqrt{\frac{y-b}{a} }[/tex]
Conor earns $9 an hour for yard work.He raked leaves 1 afternoon and earned $29.25. How many hours did he rake leaves? How much money does he get each minute?
Answer:
29.25 divided by 9 is 3.25 so this is equavilent to 3 hours and 15 minutes
he makes 0.15 per minute 9 divided by 60 is 0.15
The graph shows the function f(x) = |x-hl + k. What is the
value of K?
k=-2.5
k=-1
k=1
k= 2.5
Answer:
Step-by-step explanation:
While the h portion of that absolute value represents the side to side movement, the k represents the up and down. The pointy part of the graph (the vertex) is lowered from its position at y = 0 to y = -2.5
So k = -2.5
The correct value of k is k = -2.5. Hence, option a is correct.
To find the value of k for the function f(x) = |x - h| + k, you can use one of the given points, as all points lie on the graph of the function.
Let's use the point (1, -2.5) with coordinates (x, y).
Plug these coordinates into the function:
-2.5 = |1 - h| + k
Now, you need to find k:
-2.5 = |1 - h| + k
To isolate k, you can solve for k:
k = -2.5 - |1 - h|
Now, let's check which option fits this equation based on the given points:
For h = 1 (as in the point (1, -2.5)), you get:
k = -2.5 - |1 - 1| = -2.5 - 0 = -2.5
So, the correct value of k is k = -2.5.
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Alexis surveys three different samples of 20 students selected randomly from the population of 492 students in the seventh grade about their choice for class president. In each sample, Elijah receives the least amount of votes. Alexis infers that Elijah will not win the election. Is her inference valid? Explain.
Answer:
i think her inference i invalid
Step-by-step explanation:
i think this because she only surveyed a very small population of the seventh graders and the more data the more accurate your prediction will be. Hope that helps.
A)The number of students in the seventh grade who would be expected to prefer math to science are: 128
B) The true statement about the inference is (c) Yes, this is a valid inference because he took a random sample of the neighborhood
What is sample?A sample refers to a smaller, manageable version of a larger group. It is a subset containing the characteristics of a larger population.
here, we have,
A) Given that, the total number of students in seventh grade are: 150 students.
Now he took a sample of 25 students and find that the 85% of the sample prefers math to science.
This means that out of the sample the number of students who prefer math to science is:
= 85 / 100 x 25
= 21.25
Now, out of the total seventh graders the number of students who prefer math to science is:
21.25 x 150 / 25 = 127.5 ≈ 128
B) From the question, we understand that:
Mark draws a random sample of 20 addresses from all 80 of the neighborhood addresses.
The above selection is a random sampling technique
Therefore, the true statement about the inference is (c) Yes, this is a valid inference because he took a random sample of the neighborhood
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complete question:
Ben takes a random sample of 25 students in his seventh-grade class and finds that 85% of the sample prefers math over science. There are 150 students in the seventh grade. Based on the sample proportion, about how many students in the seventh grade would be expected to prefer math over science?
25
85
150
128
Mark wants to know how many families in his neighborhood plan to attend the neighborhood party. He puts all 80 of the neighborhood addresses in a hat and draws a random sample of 20 addresses. He then asks those families if they plan to attend the party. He finds that 20% of the families plan to attend the party. He claims that 20% of the neighborhood families would be expected to attend the party. Is this a valid inference?
No, this is not a valid inference because he asked only 20 families
No, this is not a valid inference because he did not take a random sample of the neighborhood
Yes, this is a valid inference because he took a random sample of the neighborhood
Yes, this is a valid inference because the 20 families speak for the whole neighborhood
Fill in the blank with the correct response.
Fifty-four out of 72 is
a0%.
Answer:
3/4
Step-by-step explanation:
Answer:
Your answer would be 75%, or 3/4
Step-by-step explanation:
Which ratio is equal to 2/3
Answer:
2/3 = 8/12
Step-by-step explanation:
Answer:
6/9
Step-by-step explanation:
the answer is 6/9 :)
Geometry. What is the measure of segment x rounded to the nearest hundredths place? Check picture below also.
Answer:
D. 21 ft
Step-by-step explanation:
We need to use Power of Points, which basically says that for intersecting chords in a circle (see attachment), a * b = c * d.
Here, we can say that a = x, b = 6, c = 7, and d = 18. Then, we have the equation:
ab = cd
x * 6 = 7 * 18
6x = 126
x = 21
Thus, x is 21 ft.
Hope this helps!
Answer:
Last one: 21 ft
Step-by-step explanation:
x × 6 = 7 × 18
x = (7 × 18)/6
x = 21 ft
Simplify the expression completely. (5√50-3√200+3√18)
Answer:
[tex]4\sqrt{2}[/tex]
Step-by-step explanation:
[tex]5\sqrt{50} - 3\sqrt{200} + 3\sqrt{18}[/tex] =
= [tex]25\sqrt{2} - 30\sqrt{2} + 9\sqrt{2}[/tex] = [tex]4\sqrt{2}[/tex]
The coach carried footballs to practice 8 times this year. Each time, he brought:
17 footballs
13 footballs
28 footballs
29 footballs
13 footballs
31 footballs
21 footballs
13 footballs
What was the median number of footballs?
(to find the median put the numbers from least to greatest the find the middle number)
im asking because i always get it wrong ;-; thanks!
Answer:
19
Step-by-step explanation:
Median is the middle number when they are lined up from smallest to largest
13,13,13,17,21,28,29,31,
There are 8 numbers
13,13,13,17, | 21,28,29,31,
The middle is here
Add up the two numbers on either side and divide by 2
(17+21) /2
19
Answer:
19 footballs
Step-by-step explanation:
First sort the data
13 13 13 17 21 28 29 31
Median is: (17+21)/2
38/2 = 19
I neeeeedddd helpppp pleaseeeee
At store #1 for $625 you can buy 25 pair of shoes. At store #2 you can buy 33 pairs of shoes for 800. Which store has the best deal on shoes? How do you know?
Answer:
store #2 is the better deal
Step-by-step explanation:
In store #1 you need to take the total cost $625 and divide it by 25 to get your pere item cost
625/ 25 = 25
In store #2 do the same
800/ 33 = 24.24
so store two is the better deal as per item cost is lower
The chance that Rachel will win a prize is 21 over 50. Write this probability as a decimal and as a percent.
Answer:
.42 or 42%
Step-by-step explanation:
21/50 is equal to .42 which is the decimal answer. To get percent multiply the decimal by 100, and you get 42%.
Answer:
42%
0.42
Step-by-step explanation:
21/50 x2 = 42/100
Is 100,60,50 a right triangle
Answer:
I dont think so because a right triangle should have a 90 degree
Mendel crossed tall pea plants with short pea plants. The offspring were all tall plants.
Which allele is recessive?
Which allele is dominant?
Answer:
short allele is recessive, tall allele is dominant
If you had $500 to put into a savings account with 8% interest , how would you know which bank to choose, if you plan to withdraw everything after 10 years—one that pays simple interest or compound interest? Explain.
Answer:
Compound interest because you earn more over time
Step-by-step explanation:
The height of a triangular prism is 6 cm and its base is an equilateral triangle with an area of 25 sq cm. Find the volume of the prism.
Answer:
150cm³
Step-by-step explanation:
volume =1/2b×bh×h
volume=25×6
=150
hope this helps
please like and Mark as brainliest
Final answer:
The volume of the triangular prism is found by multiplying the area of the base (25 sq cm) by the height (6 cm), which results in a volume of 150 cubic centimeters.
Explanation:
The question asks for the calculation of the volume of a triangular prism. The formula to find the volume (V) of a triangular prism is V = base area × height. The base area of the prism is given as 25 sq cm, and the height is 6 cm. Therefore, the volume of the triangular prism is calculated as follows:
V = base area × height
V = 25 cm² × 6 cm
V = 150 cm³
Thus, the volume of the triangular prism is 150 cubic centimeters.
An artist wishes to make a painting in the shape of a golden rectangle, based on the theory that this shape is the most pleasing to
the average customer. If the canvas has an area of 108 in? what would be the dimensions of the canvas? Round to the nearest
inch.
a 17 x 11
C 9 x 12
b. 11 x 12
d. 6 x 10
Please select the best answer from the choices provided
Mark this and return
Save and Exit
Next
Submit
The dimensions of the canvas would be approximately 11 inches by 7 inches.
Explanation:To determine the dimensions of the canvas, we need to find the side lengths of the golden rectangle. A golden rectangle is a rectangle in which the length is approximately 1.618 times the width. The formula for the area of a rectangle is length multiplied by width. Given that the area of the canvas is 108 square inches, we can set up the equation: length x width = 108. Using the golden ratio, we can express the length in terms of the width as length = 1.618 x width.
Substituting this expression for length in the equation, we get (1.618 x width) x width = 108. Solving for the width, we find width ≈ 6.68 inches. Rounding this to the nearest inch, the width is 7 inches. Substituting this value back into the expression for length gives us length ≈ 11.31 inches, which rounds to 11 inches.
Therefore, the dimensions of the canvas are approximately 11 inches by 7 inches. The correct answer choice is a. 17 x 11.
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Luna observed that in the last 12 issues of rise over run weekly 384 of the 960 pages contained an advertisement if there are 80 pages in this weeks edition how many pages can she predict will have advertisement
Answer:32
Step-by-step explanation:just divided both sides by 12 that will be 348:960=32:80
Answer:32
Step-by-step explanation:
Can somebody help me please
Answer:
5mm + 14mm+3mm add together area 22 for the triange
Step-by-step explanation:
What is the value of x
It depends on your Divisor, Product, or Value. There is just not a gaven value for X or X=0
If you wish to show that two triangles are similar, which statement(s) is correct? You may choose more than one correct answer.
It is enough to show that all three pairs of corresponding sides are in the same ratio.
It is not enough to have information about only sides or only angles.
It is enough to show that two pairs of corresponding angles are congruent.
It is enough to show that two pairs of corresponding sides are in the same ratio.
It is enough to show that one pair of corresponding angles is congruent.
Answer:
It is enough to show that all three pairs of corresponding sides are in the same ratio.
It is enough to show that two pairs of corresponding angles are congruent.
Step-by-step explanation:
If you know that the corresponding sides have the same ratio, then both triangles will be similar (SSS Similarity)
If 2 corresponding angles are congruent, you know the 3rd one is too (Triangle Angle Sum) which makes the triangles similar (AA Similarity)
W (t) models the daily water level (in cm) at a pond in Arizona, t days after the hottest day of the year. Here, t is entered in radians:
w(t) = 15 cos ((2pi / 365)t) + 43
What is the first time after the hottest day of the year that the water levels is 30 cm?
Answer:
152 days
Step-by-step explanation:
Given:
w(t) = 15 cos ((2π / 365)t) + 43
To find first time after the hottest day of the year that the water levels is 30 cm, substitute with w(t) = 30 and solve for t
30 = 15 cos ((2π / 365)t) + 43
30 - 43 = 15 cos ((2π / 365)t)
15 cos ((2π / 365)t) = -13
cos ((2π / 365)t) = -13/15
(2π / 365)t = cos⁻¹ (-13/15) = 150.07° ≈ (5/6) π
t = (365/2) * (5/6) ≈ 152 days
So, the first time after the hottest day of the year that the water levels is 30 cm is after 152 days
The water level reaches 30 cm approximately 125.3 days after the hottest day of the year. This was calculated by setting the given equation equal to 30 cm, isolating the variable, and using inverse cosine to solve in terms of radians.
Explanation:The given equation represents a cosine function, w(t) = 15cos(2π / 365)t + 43, which models the water level in a pond. Here, 15 is the amplitude, and 43 is the vertical shift, indicating the average water level is 43 cm. To find the first time after the hottest day of the year that the water level is 30 cm we first set w(t) equal to 30 and solve this for t:
30 = 15cos((2π / 365)t) + 43,
Subtract 43 from both sides to get:
-13 = 15cos((2π / 365)t),
Next, divide both sides by 15 to get:
-13/15 = cos((2π / 365)t),
Now, use the inverse cosine function, or arccos, to solve for the argument (2π / 365)t, which is in radians:
(2π / 365)t = arccos(-13/15).
Thus, t = (365 / 2π) * arccos(-13/15). This equation can be solved using a calculator that provides results in radians. The solution is approximately 125.3 days after the hottest day of the year.
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Can somebody plz help and explain this
Answer:
C is the answer
Step-by-step explanation:
Please mark brainliest
Write all expressions that are equivalent to 8x + 16.
Answer:
There are an infinite number of expressions equivalent ot 8x+16, but a few are:
2(4x+8)
4(2x+4)
8(x+2)
Answer:
2(4x+8)
4(2x+4)
8(x+2)
Step-by-step explanation:
What is the volume of a cylinder, in cubic feet, with a height of 7 feet and a base
diameter of 18 feet? Round to the nearest tenths place
Answer:
1781.29
Sorry, no explanations
Answer:
V= 1781.3
Step-by-step explanation:
That’s the correct answer.
The sum of two numbers is 41. The smaller number is 17 less than the larger number. What are the numbers?
I need assistance on this question
Answer:
The solution is (1,2) plz give branliest
Step-by-step explanation:
The solution is where the point intersect
I. There is a gap in the Potato Chips group
II. There is a gap in the Tortilla Chips group
III. The range is greater for the Potato Chips group
Which of the statements are true?
A) I only
B) II only
C) I and II
D) III only
Answer:
C) I and II
There is a gap in the Potato Chips group for the stem "14" and the Tortilla Chips group for the stem "12"
Answer:
its c
Step-by-step explanation:
i got it right on usatestprep
Based on the data represented in the box plots, which football player had greater success during the 10 games?
Nasir was more successful because he had the greatest number of yards in one game.
Aaron was more successful because he had the greater total spread.
Nasir was more successful because he had the greater measure of center.
Aaron was more successful because he had an outlier.
Answer is C.
Based on the data represented in the box plots, the football player that had greater success during the 10 games is C. Nasir was more successful because he had the greater measure of center.
What is a box plot?It should be noted that a box plot simply means a method for graphically demonstrating the spread of a data.
In this case, based on the data represented in the box plots, the football player that had greater success during the 10 games is that Nasir was more successful because he had the greater measure of center.
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