Answer:
answer is
Step-by-step explanation:
-8b
have great day
Evaluate the expression.
Answer:
40
Step-by-step explanation:
To solve this question you will need to use BEDMAS which is the order of which numbers you have to solve first. In this case you need to solve the brackets first, then the exponent, and then lastly the addition.
3^3 + 3(4 + 1/3)
= 3^3 + 3(13/3)
= 27 + 3 x 13/3
= 27 + 13
= 40
Tony picked 5 1/2 bushels of tomatoes. He gave 1 3/8 bushels to his grandmother and sold the rest. Tony sold *Answer* bushels of tomatoes
Answer:
\(4\frac{1}{4}\)
Step-by-step explanation:
The fraction of bushels of tomatoes that Tony picked up = 5 \(\frac{1}{2}\)
The fraction of bushels that he gave to his grandmother = 1 \(\frac{2}{8}\)
The fraction of bushels he sold =?
To find the answer for the above, you have to subtract the fraction of bushels of tomatoes he gave by the fraction of bushels of tomatoes that he picked.
Let us solve.
The fraction of bushels of tomatoes he sold :
5 \(\frac{1}{2}\) - 1 \(\frac{2}{8}\)
First, make both the above improper fractions.
\(\frac{11}{2} -\frac{10}{8}\)
To make the denominators of the fractions common, multiply both sides of 11/2 by 4.
\(\frac{11*4}{2*4} -\frac{10}{8}\)
\(\frac{44}{8} -\frac{10}{8}\)
Now subtract the fractions.
\(\frac{44-10}{8}\)
\(\frac{34}{8}\)
Now to write the fraction in its simplest form divide both sides by 2.
\(\frac{17}{4}\)
Now make the answer a mixed number.
\(4\frac{1}{4}\)
Therefore,
Tony sold \(4\frac{1}{4}\) bushels of tomatoesCheck if (1,6) is the solution to the system shown below.
Answer:
NO it is not
Step-by-step explanation:
To check that, we will need to substitute the value of each of the coordinates in each of the equations
10x-y = -6
substitute 1 for x and 6 for y
we have this as;
10(1)-6 = 4
Outrightly, we can see that the given point is not a solution to the given system of equations
however, let us confirm for the second
We have this as;
-10(1) + 5(6)
= -10 + 30 = 20
so we can confirm that it does not work for any of the two and our answer is NO
find the solution to the differential equation dydt=y2(4 t), y=8 when t=1.
The solution to the differential equation is ln |y| = 4t - 4.
The given differential equation can be written as ∆y/∆t = y2(4t). This is a first-order separable differential equation, which can be solved using the separation of variables method. To do this, we first isolate the dy/dt term on one side of the equation. We can then separate the two variables (t and y) by moving all terms with t to one side and all terms with y to the other side. This gives us ∆y/y2 = 4∆t. We can then integrate both sides to find the solution.
Integrating both sides with respect to y gives us the following:
ln |y| = 4t + C,
where C is an integration constant. We can use the boundary condition to solve for C. The boundary condition states that y=8 when t=1, so substituting this into the equation above gives us ln |8| = 4 + C. Solving for C gives us C=-4.
Therefore, the solution to the differential equation is ln |y| = 4t - 4. Rearranging this equation gives us y = e4t-4, which is the solution to the differential equation.
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what is the sum of 1 + 120
Answer:
121
Step-by-step explanation:
Addition
Answer:
121 is the sum of 1+120
I'm not gonna judge but is this just for fun or are you serious
100 points
solve each system by graphing
y= -1/2x - 1
y=x-4
Answer:
(2, - 2)------------------------
Given system:
y = -1/2x - 1y = x - 4Plot each line and find the intersection, this is the solution.
The solution is (2, - 2) as per attached graph.
In a certain Algebra 2 class of 29 students, 7 of them play basketball and 14 of them
play baseball. There are 10 students who play neither sport. What is the probability
that a student chosen randomly from the class plays basketball or baseball?
Answer:
Two possible answers below
Step-by-step explanation:
Probability and Sets
We are given two sets: Students that play basketball and students that play baseball.
It's given there are 29 students in certain Algebra 2 class, 10 of which don't play any of the mentioned sports.
This leaves only 29-10=19 players of either baseball, basketball, or both sports. If one student is randomly selected, then the propability that they play basketball or baseball is:
\(\displaystyle P=\frac{19}{29}\)
P = 0.66
Note: if we are to calculate the probability to choose one student who plays only one of the sports, then we proceed as follows:
We also know 7 students play basketball and 14 play baseball. Since 14+7 =21, the difference of 21-19=2 students corresponds to those who play both sports.
Thus, there 19-2=17 students who play only one of the sports. The probability is:
\(\displaystyle P=\frac{17}{29}\)
P = 0.59
The area of a square garage is 121 square feet. Will it fit a car that measures 13 feet long?
Answer:
NO
Step-by-step explanation:
square root of 121ft = 11 ft
the confidence interval for the slop of the regression line is (-0.684, 1.733). what can we conclude?
The confidence interval for the slope of the regression line (-0.684, 1.733) indicates that we cannot be 100% certain about the exact value of the slope of the regression line.
However, we can be confident that the true slope of the line falls within this range of values. This means that if we were to repeat the experiment or data collection multiple times, we would expect the slope to fall within this interval in the majority of cases. Additionally, we can infer that there is a positive relationship between the independent and dependent variables, since the upper bound of the confidence interval is positive. However, we cannot conclude whether this relationship is statistically significant or not without additional information, such as the p-value or alpha level. Overall, the confidence interval provides valuable information about the range of plausible values for the slope of the regression line.
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which expression is equivalent to f(x)=3x+2
mahek owns a holiday tree farm. there are currently 800 trees on the property. each year 20% of the trees are harvested and sold, and 200 seedlings are planted. write a recursive definition for the number of trees on the farm at the beginning of the nth year.
aₙ = 0.20aₙ₋₁ + 200 is the recursive formula for the above sequence.
Therefore, choice A is the right one.
Given:
A holiday tree farm is owned by Mahek.
Currently, the site has 800 trees.
200 saplings are planted together with the 20% of the trees that are harvested and sold each year.
a₁ = 800
The recursive formula is,
aₙ = 0.20aₙ₋₁ + 200
Hence, the correct formula is aₙ = 0.20aₙ₋₁ + 200
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the sum of integers starting with 10 ending with 99
With formula of arithmatic series, the sum from 10 to 99 is 4905.
What is a arithmatic series?
An arithmetic series is a sequence of numbers in which each term is obtained by adding a fixed constant, called the common difference, to the previous term. The terms in an arithmetic series follow a pattern of increasing or decreasing by a constant amount.
For example, the sequence 2, 5, 8, 11, 14, ... is an arithmetic series, with a common difference of 3, because each term is obtained by adding 3 to the previous term.
The sum of the terms in an arithmetic series can be found using the formula:
S = (n/2)(a + l)
Now,
To find the sum of integers starting with 10 and ending with 99, we can use the formula for the sum of an arithmetic series, which is:
S = (n/2)(a + l)
where S is the sum, n is the number of terms, a is the first term, and l is the last term.
In this case, we have:
a = 10
l = 99
n = (l - a) + 1 = 90
Substituting these values into the formula, we get:
S = (90/2)(10 + 99) = 45(109) = 4905
Therefore, the sum of integers starting with 10 and ending with 99 is 4905.
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There are 200 red and 90 blue marbles in Box A. There are 80 red and 100 blue marbles in Box B. Find the total number of red and blue marbles that must be transferred from Box A to Box B so that 80% of the marbles in Box A and 50% of the marbles in Box B are red?
Answer:
So we need to transfer 37 red and 73 blue marbles from Box A to Box B.
Step-by-step explanation:
Let x be the number of red marbles to be transferred from Box A to Box B, and let y be the number of blue marbles to be transferred from Box A to Box B. Then the total number of marbles in each box after the transfer is:
Box A: 200 + 90 - x - y = 290 - x - y Box B: 80 + 100 + x + y = 180 + x + y
We want 80% of the marbles in Box A and 50% of the marbles in Box B to be red, so we can set up the following equations:
0.8(290 - x - y) = 232 - 0.8x - 0.8y (80% of Box A is red) 0.5(180 + x + y) = 90 + 0.5x + 0.5y (50% of Box B is red)
To solve for x and y, we can set these two expressions equal to each other:
232 - 0.8x - 0.8y = 90 + 0.5x + 0.5y
Simplifying and rearranging, we get:
1.3x + 1.3y = 142 13x + 13y = 1420 x + y = 110
So we need to transfer a total of 110 marbles from Box A to Box B. To find the number of red marbles to transfer (x), we can use the first equation:
0.8(290 - x - y) = 232 - 0.8x - 0.8y 232 - 0.8x - 0.8y = 232 - 0.8x - 58 0.8y = 58 y = 72.5
Since we can't have a half marble, we'll round up to 73 blue marbles to transfer. Therefore, the number of red marbles to transfer is:
x = 110 - 73 = 37
So we need to transfer 37 red and 73 blue marbles from Box A to Box B.
A vacation resort offers surfing lessons and parasailing. If a
person takes a surfing lesson and goes parasailing, she will pay
a total of $175. On Friday, the resort collects a total of $3,101 for
activities. How much does each activity cost?
After solving the equations, the cost of parasailing will be 99.75 and the cost of surfing will be equal to 75.25.
What is an Expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both.
Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
The given information in the question is,
Assume the cost of parasailing is x and the cost of surfing is y.
x + y = 175
Total number of people in Parasailing = 16 people
Total number of people in Surfing = 20 people
Total collection done by resort = $3,101
16x + 20y = 3,101
So, the equations will be,
16x+20y=3,101 (i)
x + y = 175 (ii)
Now, multiply the equation (ii) by 16 and solve the equation,
16x+20y=3,101
16x+16y= 2,800
4y = 301
Now, find the value of y,
y = 301/4
y = 75.25
Then, the value of x will be equal to,
x + y = 175
x+75.25 =175
Solve for x:
x=175-72.25
x = 99.75
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It seems that your question is not complete, the complete question should be:
A vacation resort offers surfing lessons and parasailing. If a person takes a surfing lesson and goes parasailing, she will pay $175. There are 16 people who go parasailing and 20 people who take surfing lessons. On a Friday, the resort collects a total of $3,101 for activities. How much does each activity cost?
Find the work done when a crane lifts a 7000-pound boulder through a vertical distance of 11 feet. Round to the nearest foot-pound. The work done is. fe-lb
The work done when a crane lifts a 7000-pound boulder through a vertical distance of 11 feet is 77,000 foot-pounds (rounded to the nearest foot-pound).
To calculate the work done, we use the formula Work = Force × Distance. In this case, the force exerted by the crane is equal to the weight of the boulder, which is 7000 pounds. The distance lifted is 11 feet.
Substituting the values into the formula, we have:
Work = 7000 pounds × 11 feet
Calculating the product:
Work = 77,000 foot-pounds
Therefore, the work done when the crane lifts the 7000-pound boulder through a vertical distance of 11 feet is 77,000 foot-pounds (rounded to the nearest foot-pound).
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Here is a rectangular prism. What is the surface area of the prism? What is the volume of the prism
Answer:
69.6 square inches.
Step-by-step explanation:
You do:
2.4 x 1.5 =3.6
2.4 x 8 = 19.2
1.5 x 8 = 12
Add them up together. Remember that surface area is the sum of all of the sides of a shape. The equations above represent the surface area for each individual side. This adds up to 3 sides because there are three equations. If we add them up together, we get
3.6 + 19.2 + 12 = 34.8
Since a rectangular prism has 6 sides, 34.8 only covers 3 sides. We can multiply by 2 to get the surface area of all the sides. We can do this because there are always 2 sides that correspond to each other on a rectangular prism.
34.8 x 2 = 69.6 square inches as the surface area
---------------------------------------------------------------------------
To find volume, you multiply all of the sides together.
1.5 x 8 x 2.4 = 28.8 cubed inches
A rectangle is dilated by a scale factor of n = 1. Which statement is true regarding the image of the dilation? O The image will be smaller than the pre-image because n=1. The image will be congruent to the pre-image because n=1. O The image will be larger than the pre-image because n=1. The image will be a triangle because n=1.
9514 1404 393
Answer:
The image will be congruent to the pre-image because n=1
Step-by-step explanation:
The image dimensions are the original dimensions multiplied by the scale factor. If the scale factor is 1, the image is the same size as the original, hence congruent to the pre-image.
3(x-3)+18=3(x+3) Solve for x
Answer:
x can be anything. (Infinite solutions)
Step-by-step explanation:
\(3\left(x-3\right)+18=3\left(x+3\right)\)
Expand:
\(3x-3*3+18=3x+3*3\)
\(3x+9=3x+9\)
Subtract 9 from each side:
\(3x=3x\)
Subtract 3x from both sides:
\(0=0\)
Both sides are equal, and hence this equation is true for any "x" value.
Jared bought 7 cans of paint. A can of red paint costs $3. 75. A can of red paint costs $2. 75. Jared spent $22 in all. How many cans of red and black paint did he buy?
Jared bought 7 cans of paint. Let the number of red paint cans that Jared bought be x. The number of black paint cans he bought would be 7 - x. A can of red paint costs $3.75 and a can of black paint costs $2.75.
He spent $22 in all. Therefore we can write:3.75x + 2.75(7 - x) = 22 Multiplying out the second term and collecting like terms gives:0.5x + 19.25 = 22Subtracting 19.25 from both sides:0.5x = 2.75Dividing by 0.5:x = 5.5Since Jared can't buy half a can of paint, we should round the answer to the nearest integer. Hence, he bought 5 cans of red paint and 2 cans of black paint. The total cost of the 5 cans of red paint would be 5 x $3.75 = $18.75.The total cost of the 2 cans of black paint would be 2 x $2.75 = $5.50.The total cost of all 7 cans of paint would be $18.75 + $5.50 = $24.25.We spent more than Jared's budget. The value of $24.25 exceeds Jared's budget of $22. Hence, there is a problem with this problem statement.
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suppose an investigator wishes to estimate the sample size necessary to detect a 10 mg/dl difference in cholesterol level in a diet intervention group compared to a control group. the standard deviation from past data is estimated to be 50 mg/dl. if power is set at 80% and alpha is set at 0.05, how many patients are required per group?
Rounding up to the nearest whole number, we need at least 78 patients per group to detect a 10 mg/dl difference in cholesterol level with a power of 80% and an alpha level of 0.05.
To estimate the sample size necessary to detect a 10 mg/dl difference in cholesterol level between a diet intervention group and a control group with a standard deviation of 50 mg/dl, a power of 80%, and an alpha level of 0.05, we can use a formula:
n = [(Z_alpha/2 + Z_beta)^2 * (σ^2)] / (d^2)
where n is the sample size per group, Z_alpha/2 is the critical value of the standard normal distribution corresponding to an alpha level of 0.05/2 = 0.025 (which is 1.96), Z_beta is the critical value of the standard normal distribution corresponding to a power of 80% (which is 0.84), σ is the standard deviation (which is 50 mg/dl), and d is the difference in means that we want to detect (which is 10 mg/dl).
Substituting these values into the formula, we get:
n = [(1.96 + 0.84)^2 * (50)^2] / (10)^2
n = 77.4
Rounding up to the nearest whole number, we need at least 78 patients per group to detect a 10 mg/dl difference in cholesterol level with a power of 80% and an alpha level of 0.05.
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Kristen's financial advisor has given her a list of 8 potential investments and has asked her to select and rank her favorite four. In how many different ways can she do this?
The number of ways in which Kristen can rank her favorite four from 8 using permutations is 1680.
The permutation is a way of finding the number of ways of selecting a set of articles from a larger set of articles, with the order of selection being significant.
If we want to choose r items from n items, where the order of selection is significant, then we can find the number of ways of doing this using the permutation as follows:
nPr = n!/{(n - r)!}.
In the question, we are asked to find the number of ways Kristen can rank her favorite four investments from the 8 potential investments that her financial advisor has given her.
Thus, using permutations, we need to select 4 items from 8 items, with order of selection being significant.
Substituting n = 8, and r = 4 in the formula, we get:
8P4 = 8!/{(8 - 4)!}
= 8!/4!
= 5 * 6 * 7 * 8
= 1680.
Thus, the number of ways in which Kristen can rank her favorite four from 8 using permutations is 1680.
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She selects 150 trees at random from her orchard and uses this fertilizer on those trees and estimates the following regression: Y
^
i
=600+4.93X i
, where Y
^
i
denotes the predicted number of apricots obtained from the I th tree and X i
denotes the number of units of fertilizer used on the I th tree. A. H 0
:β 1
≥5.14 and H 1
:β 1
<5.14. B. H 0
:β 1
>4.93 and H 1
:β 1
≤4.93. C. H 0
:β 1
=5.14 and H 1
:β 1
=5.14. D. H 0
:β 0
=4.93 and H 1
:β 0
=4.93. Suppose the standard error of the estimated slope is 0.74. The t-statistic associated with the test Wendy wishes to conduct is (Round your answer to two decimal places. Enter a minus sign if your answer is negative.1
Given statement solution is :- The t-statistic associated with the test is approximately -0.28.
The t-statistic, which is used in statistics, measures how far a parameter's estimated value deviates from its hypothesised value relative to its standard error. Through the Student's t-test, it is utilised in hypothesis testing. In a t-test, the t-statistic is used to decide whether to accept or reject the null hypothesis.
To find the t-statistic associated with the test, we need to calculate the test statistic using the estimated slope coefficient, the null hypothesis, and the standard error.
The estimated slope coefficient is 4.93.
The null hypothesis is H₀: β₁ ≥ 5.14 (stating that the true slope coefficient is greater than or equal to 5.14).
The predicted slope's standard error is 0.74.
The formula to calculate the t-statistic is:
t = (estimated slope - hypothesized slope) / standard error
Plugging in the values:
t = (4.93 - 5.14) / 0.74
t = -0.21 / 0.74
t ≈ -0.28 (rounded to two decimal places)
Therefore, the t-statistic associated with the test is approximately -0.28.
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if you traveled in space at a speed of 1000 miles per house, how far would you travel in 7.5*10^5 houes
Traveling at a speed of 1000 miles per hour for 7.5 * 10⁵ hours would result in traveling a distance of 7.5 * 10⁸ miles.
To calculate the distance traveled, we can multiply the speed by the time traveled.
Speed = 1000 miles per hour
Time = 7.5 * 10⁵ hours
Distance = Speed * Time
Distance = 1000 miles/hour * 7.5 * 10⁵ hours
To perform this calculation, we can multiply the numerical values and keep the scientific notation for the result:
Distance = 1000 * 7.5 * 10⁵ miles
Distance = 7.5 * 10⁸ miles
Therefore, traveling at a speed of 1000 miles per hour for 7.5 * 10⁵ hours would result in traveling a distance of 7.5 * 10⁸ miles.
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What isRicky needs $45 to buy a jacket. He has saved $15 and plans to work as a babysitter to earn $5 per hour. Which inequality shows the minimum number of hours, n, that Ricky should work as a babysitter to earn enough to buy the jacket? (5 points)
5n ≥ 45 + 15, so n ≥ 12
5n ≤ 45 + 15, so n ≤ 12
15 + 5n ≥ 45, so n ≥ 6
15 + 5n ≤ 45, so n ≤ 6
7.
some one answer me ASAP
Answer: The inequality that shows the minimum number of hours, n, that Ricky should work as a babysitter to earn enough to buy the jacket is 15 + 5n ≥ 45, so n ≥ 6.
This inequality states that Ricky's current savings of $15 plus the amount he earns from babysitting (5n) must be greater than or equal to the cost of the jacket, which is $45. To find the minimum number of hours he needs to work, we set the left side of the inequality equal to $45 and solve for n. 15 + 5n = 45, so n = 6.
Step-by-step explanation:
Given m|n, find the value of x. t to 154°
Answer:
you are a great mathematician and you don't know this answer sir you try to find out by your own
Vance bought 2 packages of large beads and 1 package of medium beads. He bought 2 packages of large buttons and how many more beads than more buttons did vance buy
There are 472 more buttons bought by Vance than beads.
Define the term difference of number?One of the most crucial arithmetic operations, that is obtained by removing two integers, produces difference in mathematics.For the stated question table is made.
So,
Total number of beads bought by Vance = Number of beads(2 packages of large beads) + Number of beads(1 package of medium beads).
= (2 × 96) + (1 × 64)
= 2 × (90 + 6) + 64
= (2 × 90) + (2 × 6) + 64
= 180 + 12 + 64
= 256 beads
Now,
Total number of buttons bought by Vance = Total number of buttons (2 packages of large buttons) + Number of buttons (2 packages of medium buttons)
= (2 × 56) + (2 × 38)
= 2 × (50 + 6) + 2 × (30 + 8)
= (2 × 50) + (2 × 6) + (2 × 30) + (2 × 8)
= 100 + 12 + 600 + 16
= 728 buttons
Thus,
Difference for the number of buttons and beads
= 728 – 256
= 472 beads
So,
Therefore, there are 472 more buttons bought by Vance than beads.
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Suppose that the number of drivers who travel between a particular origin and destination during a designated time period has a Poisson distribution with parameter μ = 20 suggested in the article "Dynamic Ride Sharing: Theory and Practice"T). (Round your answer to three decimal places) (a) What is the probability that the number of drivers will be at most 19? (b) What is the probability that the number of drivers will exceed 29
a) The probability that the number of drivers will be at most 19 is approximately 0.411 or 41.1%.
b) The probability that the number of drivers will exceed 29 is approximately 0.004 or 0.4%.
(a) To find the probability that the number of drivers will be at most 19, we need to use the Poisson distribution formula:
P(X ≤ 19) = e^(-20) * (20^0/0!) + e^(-20) * (20^1/1!) + ... + e^(-20) * (20^19/19!)
Using a calculator or statistical software, we get P(X ≤ 19) ≈ 0.088.
(b) To find the probability that the number of drivers will exceed 29, we can use the complement rule:
P(X > 29) = 1 - P(X ≤ 29)
Using the same Poisson distribution formula as in part (a), we can find P(X ≤ 29) ≈ 0.963. So,
P(X > 29) = 1 - 0.963 = 0.037 (rounded to three decimal places).
Note: "Dynamic Ride Sharing" is not directly related to this question and is not necessary for answering it.
Hi! I'd be happy to help you with your question.
(a) To find the probability that the number of drivers will be at most 19, you can use the cumulative distribution function (CDF) of the Poisson distribution. The parameter for this distribution is μ = 20. The formula for the Poisson CDF is:
P(X ≤ k) = Σ (e^(-μ) * (μ^x) / x!) for x = 0 to k
In this case, k = 19. Plugging in the values and calculating the sum, we get:
P(X ≤ 19) ≈ 0.411
Therefore, the probability that the number of drivers will be at most 19 is approximately 0.411 or 41.1%.
(b) To find the probability that the number of drivers will exceed 29, you can use the complementary probability rule. First, find the probability that the number of drivers will be at most 29, and then subtract that from 1.
P(X > 29) = 1 - P(X ≤ 29)
Using the Poisson CDF formula with k = 29 and μ = 20:
P(X ≤ 29) ≈ 0.996
Now, subtract this value from 1:
P(X > 29) = 1 - 0.996 ≈ 0.004
Therefore, the probability that the number of drivers will exceed 29 is approximately 0.004 or 0.4%.
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Type the correct answer in the box. Write your answer as a whole number. The radius of the base of a cylinder is 10 centimeters, and its height is 20 centimeters. A cone is used to fill the cylinder with water. The radius of the cone's base is 5 centimeters, and its height is 10 centimeters. The number of times one needs to use the completely filled cone to completely fill the cylinder with water is . Reset Next
The number of times one needs to use the completely filled cone to completely fill the cylinder with water 24 times
How to find the volume of a cylinder and cone?volume of a cylinder = πr²h
volume of a cylinder = 3.14 × 10² × 20
volume of a cylinder = 6280 cm³
volume of the cone = 1 / 3 πr²h
volume of the cone = 1 / 3 × 3.14 × 5² × 10
volume of the cone = 261.666666667
volume of the cone = 261.7 cm³
Therefore, the number of times one needs to use the completely filled cone to completely fill the cylinder with water is as follows:
number of time = 6280 / 261.7 = 23.9969430646
number of time = 24 times
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help i dunno which one it is
Javier worked the following hours in the month of October. What was the percent increase from week 2 to week 4?
weeks hours
1 18
2 25
3 24
4 33
Answer:
2005400sblackwell
2005400sblackwell
03/27/2020
Mathematics
Middle School
Javier worked the following hours in the month of October. What was the percent increase from week 2 to week 4?
Answer:
32%
Step-by-step explanation:
I don’t know. I’m on a test got the answer wrong and it showed me the right answer.