Answer: 1:(12^2*10.8)/3=518.4 2: v = 392(3.1415)/3 = 410.5 3: (Πr^2*h) Π*9*15=424
Step-by-step explanation:
solve for x Express your answer as an integers or in simplest radical form 1-x^3=9
Answer:
\(\large\boxed{\tt x = 2}\)
Step-by-step explanation:
\(\textsf{We are asked to solve for x in the given equation.}\)
\(\textsf{We should know that x is cubed, meaning that it's multiplied by itself 3 times.}\)
\(\textsf{We should isolate x on the left side of the equation, then find x by cubic rooting}\)
\(\textsf{both sides of the equation.}\)
\(\large\underline{\textsf{How is this possible?}}\)
\(\textsf{To isolate variables, we use Properties of Equality to prove that expressions}\)
\(\textsf{are still equal once a constant has changed both sides of the equation. A Cubic}\)
\(\textsf{Root is exactly like a square root, but it's square rooting the term twice instead}\)
\(\textsf{of once.}\)
\(\large\underline{\textsf{For our problem;}}\)
\(\textsf{We should use the Subtraction Property of Equality to isolate x, then cubic root}\)
\(\textsf{both sides of the equation.}\)
\(\large\underline{\textsf{Solving;}}\)
\(\textsf{Subtract 1 from both sides of the equation keeping in mind the Subtraction}\)
\(\textsf{Property of Equality;}/tex]
\(\tt \not{1} - \not{1} - x^{3} = 9 - 1\)
\(\tt - x^{3} = 8\)
\(\textsf{Because x}^{3} \ \textsf{is negative, we should exponentiate both sides of the equation by}\)
\(\textsf{the reciprocal of 3, which is} \ \tt \frac{1}{3} .\)
\(\tt (- x^{3})^{\frac{1}{3}} = 8^{\frac{1}{3}}\)
\(\underline{\textsf{Evaluate;}}\)
\(\tt (- x^{3})^{\frac{1}{3}} \rightarrow -x^{3 \times \frac{1}{3} } \rightarrow \boxed{\tt -x}\)
\(\textsf{*Note;}\)
\(\boxed{\tt A^{\frac{1}{C}} = \sqrt[\tt C]{\tt A}}\)
\(\tt 8^{\frac{1}{3}} \rightarrow \sqrt[3]{8} \rightarrow 2^{1} \rightarrow \boxed{\tt 2}\)
\(\underline{\textsf{We should have;}}\)
\(\tt -x=2\)
\(\textsf{Use the Division Property of Equality to divide each side of the equation by -1;}\)
\(\large\boxed{\tt x = 2}\)
For f(x) =2x, find a formula for the Riemann sum obtained by dividing the interval [2.5] subintervals and using the right hand endpoint for each ck. Simplify the sum and take the limit as n--> infinity to calculate the area under the curve over [2,5]
please show all of your work as be as descriptive as you can I appreciate your help thank you!
The area under the curve over [2,5] is 24.
Given function is f(x) = 2xIntervals [2, 5] is given and it is to be divided into subintervals.
Let us consider n subintervals. Therefore, width of each subinterval would be:
$$
\Delta x=\frac{b-a}{n}=\frac{5-2}{n}=\frac{3}{n}
$$Here, we are using right-hand end point. Therefore, the right-hand end points would be:$${ c }_{ k }=a+k\Delta x=2+k\cdot\frac{3}{n}=2+\frac{3k}{n}$$$$
\begin{aligned}
\therefore R &= \sum _{ k=1 }^{ n }{ f\left( { c }_{ k } \right) \Delta x } \\&=\sum _{ k=1 }^{ n }{ f\left( 2+\frac{3k}{n} \right) \cdot \frac{3}{n} }\\&=\sum _{ k=1 }^{ n }{ 2\cdot\left( 2+\frac{3k}{n} \right) \cdot \frac{3}{n} }\\&=\sum _{ k=1 }^{ n }{ \frac{12}{n}\cdot\left( 2+\frac{3k}{n} \right) }\\&=\sum _{ k=1 }^{ n }{ \frac{24}{n}+\frac{36k}{n^{ 2 }} }\\&=\frac{24}{n}\sum _{ k=1 }^{ n }{ 1 } +\frac{36}{n^{ 2 }}\sum _{ k=1 }^{ n }{ k } \\&= \frac{24n}{n}+\frac{36}{n^{ 2 }}\cdot\frac{n\left( n+1 \right)}{2}\\&= 24 + \frac{18\left( n+1 \right)}{n}
\end{aligned}
$$Take limit as n → ∞, so that $$
\begin{aligned}
A&=\lim _{ n\rightarrow \infty }{ R } \\&= \lim _{ n\rightarrow \infty }{ 24 + \frac{18\left( n+1 \right)}{n} } \\&= \boxed{24}
\end{aligned}
$$
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Given function f(x) = 2x. The interval is [2,5]. The number of subintervals, n is 3.
Therefore, the area under the curve over [2,5] is 21.
From the given data, we can see that the width of the interval is:
Δx = (5 - 2) / n
= 3/n
The endpoints of the subintervals are:
[2, 2 + Δx], [2 + Δx, 2 + 2Δx], [2 + 2Δx, 5]
Thus, the right endpoints of the subintervals are: 2 + Δx, 2 + 2Δx, 5
The formula for the Riemann sum is:
S = f(c1)Δx + f(c2)Δx + ... + f(cn)Δx
Here, we have to find a formula for the Riemann sum obtained by dividing the interval [2.5] subintervals and using the right hand endpoint for each ck. The width of each subinterval is:
Δx = (5 - 2) / n
= 3/n
Therefore,
Δx = 3/3
= 1
So, the subintervals are: [2, 3], [3, 4], [4, 5]
The right endpoints are:3, 4, 5. The formula for the Riemann sum is:
S = f(c1)Δx + f(c2)Δx + ... + f(cn)Δx
Here, Δx is 1, f(x) is 2x
∴ f(c1) = 2(3)
= 6,
f(c2) = 2(4)
= 8, and
f(c3) = 2(5)
= 10
∴ S = f(c1)Δx + f(c2)Δx + f(c3)Δx
= 6(1) + 8(1) + 10(1)
= 6 + 8 + 10
= 24
Therefore, the Riemann sum is 24.
To calculate the area under the curve over [2, 5], we take the limit of the Riemann sum as n → ∞.
∴ Area = ∫2^5f(x)dx
= ∫2^52xdx
= [x^2]2^5
= 25 - 4
= 21
Therefore, the area under the curve over [2,5] is 21.
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The appropriate test for a comparison a group of 10 dogs and group of 10 cats is:_____.
The appropriate test for a comparison a group of 10 dogs and group of 10 cats is called independent sample t-test.
In this question,
The independent samples t test (also called the unpaired samples t test) is the most common form of the T test. It helps you to compare the means of two sets of data.
The Independent samples t test compares the means of two independent groups in order to determine whether there is statistical evidence that the associated population means are significantly different.
The independent sample t-test is a useful statistical method of hypothesis testing when an organization wants to determine whether there is a statistical difference between two categories, groups, or items and, furthermore, if there is a statistical difference, whether that difference is significant.
From the definition, the independent sample t-test is the appropriate test for a comparison a group of 10 dogs and group of 10 cats.
Hence we can conclude that the appropriate test for a comparison a group of 10 dogs and group of 10 cats is called independent sample t-test.
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Jual Tecipe, the ratio of carrots to cucumbers must remain constant. The table below shows some possible combinations of carrots and cucumbers. Salad Ingredients Carrots Cucumbers 3 9 4 12 6 18 7 21 If only whole vegetables can be used, what is the fewest number of vegetables that can be used to make this salad? 1 3 0 4 12 Save and Exit Next Submit Mark this and return
The two vegitables to be used are cucumbers and carrots. We are told that the ratio of the combination must be constant. From the question, we can see that the constant ratio of carrot to cucumber is 1:3. This is determined by simplifying each combination to its lowest term. Therefore, if onlthe least
Solve each equation using the substitution method.
1/4 v = 5
actoring Quadratic Expressions. Factor each completely. 1) x. 2 − 7x − 18. 2) p. 2 − 5p − 14. 3) m. 2 − 9m + 8.
Completely factored expressions are:
(x - 9)(x + 2)(p - 7)(p + 2)(m - 1)(m - 8)How to evaluate each part of the question?1. x² - 7x - 18 can be factored as:
(x - 9)(x + 2)
Expand the expression using FOIL:
(x - 9)(x + 2) = x² + 2x - 9x - 18 = x² - 7x - 18
2. p² - 5p - 14 can be factored as:
(p - 7)(p + 2)
Expand the expression using FOIL:
(p - 7)(p + 2) = p² + 2p - 7p - 14 = p² - 5p - 14
3. m² - 9m + 8 can be factored as:
(m - 1)(m - 8)
Expand the expression using FOIL:
(m - 1)(m - 8) = m² - 8m - m + 8 = m² - 9m + 8
Therefore, the completely factored expressions are:
(x - 9)(x + 2)(p - 7)(p + 2)(m - 1)(m - 8)Learn more about factored expressions.
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the scores on a standardized test are normally distributed with a mean of 90 and standard deviation of 15. what test score is 0.1 standard deviations above the mean?
The test score is 91.5.
z-score:
A z-score is the number of standard deviations from the mean value of the reference population.
Here we have to find the test score.
Mean(μ) = 90
Standard deviation(б) = 15
z-score = 0.1
Formula for z-score:
z = X - μ / б
Now putting the values in the equation:
0.1 = X - 90 / 15
1.5 = X - 90
X = 91.5
Therefore the test score is 91.5.
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Which of the following is an example of categorical data?
a
total value of pennies stored in a jar
b
temperature reading on a thermometer
c
type of music most listened to on the radio
d
number of steps it takes to walk around a building
Answer:
type of music listened to on the radio
Change 10 m/s in km/h
Answer:
The answer is 36km/h
Step-by-step explanation:
10m/s * 3,6 = 36km/h
How can you quickly determine the number of the roots of a polynimial will have by looking at the equation
The leading term of the equation can be used to predict how many roots a polynomial will have.
To find the number of roots in a polynomial, look at the equation's leading phrase. A word with the most power is said to be leading.
Think about the linear formula x – 4 = 0.
The equation's highest power, 1, will only have one root.
We can check it by simplification
x = 4
The equation has only one root x = 4.
Consider the quadratic equation
10t² - t - 3 = 0
The equation's highest power, 2, will have two roots.
By simplifying and applying the middle term splitting approach, we can verify it.
10t² + 5t - 6t - 3 = 0
Taking out the common terms
5t (2t + 1) - 3 (2t + 1) = 0
(2t + 1) (5t - 3) = 0
t = -1/2 and t = 3/5
So the equation has two roots.
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The distance from the post office to a supermarket is 0.5 km. What is the distance in meters?
Enter your answer in the space provided.
The distance from the post office to the supermarket is
meters.
Answer:
The answer is 500 meters
Step-by-step explanation:
I got it right
Please mark me as brainly!
Please leave a 5 star review
Have a good dat!
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Ashley is preparing for a horse riding competition. She has trained her horse for 6 hours and has completed 228 rounds. At what rate has Ashley ridden her horse in rounds per hour? A. 39 rounds per hour B. 38 rounds per hour C. 37 rounds per hour D. 40 rounds per hour
Answer:
the answer is B. 38 rounds per hour.
the weekly sales at two movie theaters were recorded for a random sample of 25 weeks. a 95 percent confidence interval for the difference in mean weekly sales for the two movie theaters was calculated as
To calculate the 95% confidence interval for the difference in mean weekly sales for the two movie theaters, follow these steps:
Step 1: Gather the data for the random sample of 25 weeks.
Step 2: Calculate the mean and standard deviation for each movie theater's weekly sales.
Step 3: Calculate the difference in mean weekly sales for the two movie theaters (subtract the mean of theater 2 from the mean of theater 1).
Step 4: Calculate the standard error of the difference by taking the square root of [(standard deviation of theater 1^2 / number of weeks) + (standard deviation of theater 2^2 / number of weeks)].
Step 5: Determine the critical value for a 95% confidence interval using a t-table or calculator (for a two-tailed test with 24 degrees of freedom, the critical value is approximately 2.064).
Step 6: Multiply the critical value by the standard error to get the margin of error.
Step 7: Calculate the lower and upper bounds of the confidence interval by subtracting and adding the margin of error from the difference in mean weekly sales.
The result will be the 95% confidence interval for the difference in mean weekly sales for the two movie theaters.
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The sum of two number is negative fifteen, and one number is seven less than the other. Using the variables m and n to represent the two numbers, write a system of equations that describe the situation. Enter the equations below, separated by a comma. Next find the two numbers. Enter them below, separated by a comma.
Answer
System of equation = m + n = -15, m - n = 7
The two numbers = -4, -11
Explanation
Let variables m and n represent the two numbers.
The sum of variables m and n is negative fifteen, This implies;
\(m+n=-15----i\)One number is seven less than the other implies;
\(\begin{gathered} m-n=7----ii \\ \text{Where;} \\ m\text{ is the greater number and} \\ n\text{ is the lesser number} \end{gathered}\)Hence, the system of equations that describe the situation is
\(\begin{gathered} m+n=-15----i \\ m-n=7-----ii \end{gathered}\)To find the two numbers, use the elimination method.
\(\begin{gathered} (i)+(ii) \\ \Rightarrow m+m+n+(-n)=-15+7 \\ 2m=-8 \\ \text{Divide both sides by 2} \\ \frac{2m}{2}=-\frac{8}{2} \\ m=-4 \end{gathered}\)To get n, substitute m = -4 into (i)
\(\begin{gathered} \text{Recall (i)} \\ m+n=-15---i \\ \Rightarrow-4+n=-15 \\ \text{Collect the like terms} \\ n=-15+4 \\ n=-11 \end{gathered}\)Therefore, the two numbers = -4, -11
A triangle has vertices at A (−2, −2), B (−1, 1), and C (3, 2). Which of the following transformations produces an image with vertices A′ (−2, 2), B′ (−1, −1), and C′ (3, −2)?
How many tiles are in the 25th figure in this pattern? Show a table of values with a process column.
52 tiles are there in the 25th figure in this pattern.
What is a pattern?A pattern is described as a series of recurring symbols, figures, or numbers. Any form of event or object can be related to a pattern.
A pattern has a rule that specifies which items fall within the pattern's umbrella and which do not.
A pattern in mathematics is a recurring arrangement of numbers, forms, colors, and other elements.
Any kind of event or object can be connected to the Pattern.
A pattern is referred to as a rule or a way in which a group of numbers is related to one another.
Sometimes a pattern is also referred to as a sequence.
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what do we mean when we say that a simple linear regression model is​ statistically useful?
A regular linear regression model is statistically helpful in providing a good fit to the information that can be used to make precise predictions about new information agendas.
A linear regression model is useful when the explanation of a significant amount of variation of the dependent variable utilizes one or more independent variables. The usability of a linear regression model can be comprehended by examining various statistical measures for instance
R-squared, adjusted R-squared, standard error of the estimate, p-values.R-squared value of 1 shows that all of the changes in the dependent variable are elaborated by the independent variable, Hence, an R-squared value of 0 points that none of the variations is elaborated
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Susan drove her car at a constant speed for 3 hours and went 174 miles.
At this rate, how long will it take her to travel 290 miles?
In pentagon $MATHS$, $\angle M \cong \angle T \cong \angle H$ and $\angle A$ is supplementary to $\angle S$. How many degrees are in the measure of $\angle H$?
Answer:
H = 120°
Step-by-step explanation:
The sum of the internal angles of a polygon with n sides is given by the formula:
S = (n-2)*180
So, for a pentagon, we have n = 5, then:
S = (5-2)*180 = 540°
So we have that:
M + A + T + H + S = 540° (eq1)
M = T = H (eq2)
A + S = 180° (eq3)
Using the second and third equation in the first one, we have:
H + H + H + 180 = 540
3H = 360
H = 120°
Which graph represents the equation: y+3 = 3(x+2)
Please number 15 please help
Answer:
24/30 - 6
21/30 - 3
28/32 - 4
20/25 - 5
Step-by-step explanation:
We need to find the greatest common factor (GCF) for all four of these fractions.
To find the GCF of a fraction, you must list the factors of the numerator and denominator, then determine the largest factor that both numbers have in common.
Remember, factors are numbers that we multiply together to get another number.
------------------------------------------------------
Let's find the GCF of 24/30.
First, we have to list the factors of the numerator and the denominator.
24: 1, 2, 3, 4, 6, 12, 24
30: 1, 2, 3, 5, 6, 10, 15, 30
Then, we determine the largest factor that both numbers have in common.
The largest factor that they have in common is 6. So, the GCF is 6.
------------------------------------------------------
GCF of 21/30.
21: 1, 3, 7, 21
30: 1, 2, 3, 5, 6, 10, 15, 30
The largest factor that they have in common is 3. So, the GCF is 3.
------------------------------------------------------
GCF of 28/32.
28: 1, 2, 4, 7, 14, 28
32: 1, 2, 4, 8, 16, 32
The largest factor that they have in common is 4. So, the GCF is 4.
------------------------------------------------------
GCF of 20/25.
20: 1, 2, 4, 5, 10, 20
25: 1, 5, 25
The largest factor that they have in common is 5. So, the GCF is 5.
A Baker's recipe uses for cups of water for every 9 cups of flour. Which ratio of cups of water to cups of flour will make the same recipe?
Answer:
It would be 4 to 9 or 4/9!
Step-by-step explanation:
suppose you have the following data: x 1 2 3 4 5 6 y 43 37 29 22 22 11 and the lsrl is ŷ =. find the residual value for x = 4.
a) 34.414 b) -7.586 c) 42 d) 7.586 e) None of the above
For x = 4, the residual value is -7.586. Therefore, the correct option is b.
We are required to find the residual value for x = 4 using the given data and the LSRL ý = 20.47 + 3.486x.
To find the residual value, follow these steps:
1. Find the predicted value for x = 4 using the LSRL equation.
ý = 20.47 + 3.486(4) = 20.47 + 13.944 = 34.414
2. Locate the actual value of y when x = 4 in the data.
x: 1 2 3 4 5 6
y: 43 37 29 22 22 11
For x = 4, the actual y value is 22.
3. Calculate the residual value using the formula:
Residual = Actual value - Predicted value
Residual = 22 - 34.414 = -7.586
Hence, the residual value for x = 4 is -7.586, which corresponds to option b: -7.586.
Note: The question is incomplete. The complete question probably is: Suppose you have the following data: x 1 2 3 4 5 6 y 43 37 29 22 22 11 and the lsrl is ý = 20.47 + 3.486. Find the residual value for x = 4. a) 34.414 b) -7.586 c) 42 d) 7.586 e) None of the above.
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Consider the set of ordered pairs shown below. Assuming that the regression equation is y^=3.188+0.321x and the SSE =19.019, construct a 95% prediction interval for x=7. X 4, 8, 2, 3, 5
y 6, 7, 4, 5, 1
Click the icon to view a portion of the student's t-distribution table. Calculate the upper and lower limits of the prediction interval. UPL= ___
LPL= ___
(Round to three decimal places as needed.)
The upper and lower limits of the prediction interval for x=7 are as follows:
LPL = 0.139
UPL = 10.743
The 95% prediction interval for x=7 is determined by the formula:
ȳ±t(α/2, n-2)×Syx(1+(1/n)+(x-x¯)2/Σ(xi-x¯)2)1/2
where ȳ is the estimated regression equation, t(α/2, n-2) is the t-value for the given confidence level and degree of freedom, Syx is the standard deviation of errors, x¯ is the mean of x and Σ(xi-x¯)2 is the sum of squares for x.
The given set of ordered pairs are,X = 4, 8, 2, 3, 5Y = 6, 7, 4, 5, 1
Calculating the required values, we have:
n=5Σ
xi = 22Σ
yi = 23Σ
xi2 = 94Σ
xiyi = 81
x¯ = Σxi/n = 22/5 = 4.4
y¯ = Σyi/n = 23/5 = 4.6
Now using the regression equation y^=3.188+0.321x, we can calculate the estimated value for y at x=7, that is y^= 3.188 + 0.321×7 = 5.441
Using the formula, t(α/2, n-2) = t(0.025, 3) from the given student's t-distribution table.t(0.025, 3) = 3.182
Lower limit (LPL) is calculated as follows:
LPL = ȳ - t(α/2, n-2)×Syx(1+(1/n)+(x-x¯)
2/Σ(xi-x¯)2)1/2= 5.441 - 3.182×(19.019/√(5-2))×(1+(1/5)+((7-4.4)2)/94)
1/2= 0.139Upper limit (UPL) is calculated as follows:
UPL = ȳ + t(α/2, n-2)×Syx(1+(1/n)+(x-x¯)
2/Σ(xi-x¯)
2)1/2= 5.441 + 3.182×(19.019/√(5-2))×(1+(1/5)+((7-4.4)2)/94)1/2= 10.743
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Draw the graph of f(x) = (x − 1)2 − 2. Start by creating a table of ordered pairs for the function. Then plot the points from the table, and draw a curve connecting the points.
The attached graph represents the graph of f(x) = (x - 1)^2 - 2
How to plot the graph?The equation is given as:
f(x) = (x - 1)^2 - 2
Next, we set x to -2, -1, 0, 1 and 2.
So, we have:
f(-2) = (-2 - 1)^2 - 2 = 7
f(-1) = (-1 - 1)^2 - 2 = 2
f(0) = (0 - 1)^2 - 2 = -1
f(1) = (1 - 1)^2 - 2 = -2
f(2) = (2 - 1)^2 - 2 = -1
This means that the table of values is
x f(x)
-2 7
-1 2
0 -1
1 -2
2 -1
Next, we plot the above points and connect them.
See attachment for the graph of f(x) = (x - 1)^2 - 2
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A survey question asked of unmarried men was, "What is the most important feature you consider when deciding to date somebody?". The results were found to depend on whether the interviewer was male or female. This is an example of
This is an example of interviewer bias where the gender of the interviewer may have impacted the replies of the unmarried males in the poll.
This is an example of interviewer bias, where the gender of the interviewer may have influenced the responses of the unmarried men in the survey. The results may not accurately reflect the true opinions of the participants as their answers could have been affected by their desire to impress or please the interviewer.
This situation is an example of response bias, specifically interviewer bias, which occurs when the respondent's answer is influenced by the gender or characteristics of the interviewer, rather than their true preferences or opinions.
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What is the value of s? Uhm uh why is this so difficult.
Answer:
s = 47
Step-by-step explanation:
The measure of the exterior angle of a triangle is equal to the sum of the opposite interior angles
s+45 = s+6 + s-8
Combine like terms
s+45 = 2s-2
Subtract s from each side
s+45-s =2s-2-s
45 =s-2
Add 2 to each side
45+2 = s-2+2
47 =s
Walter bought 2,000 cubic millimeters of clay for his sculpture. Now that he has molded the cone and the sphere, he wants to use the rest for decorations. How much clay does he have left for decorations?
Answer:
Step-by-step explanation:
Let's first find the total volume of clay used for the cone and the sphere:
For the cone, we need the formula for the volume of a cone: Vcone = (1/3)πr^2h, where r is the radius of the base and h is the height.
Let's assume the cone has a radius of 5 millimeters and a height of 10 millimeters. Then, the volume of the cone is:
Vcone = (1/3)π(5^2)(10) = (1/3)π(250) = 83.33 cubic millimeters (rounded to two decimal places)
For the sphere, we need the formula for the volume of a sphere: Vsphere = (4/3)πr^3, where r is the radius.
Let's assume the sphere has a radius of 4 millimeters. Then, the volume of the sphere is:
Vsphere = (4/3)π(4^3) = (4/3)π(64) = 268.08 cubic millimeters (rounded to two decimal places)
The total volume of clay used for the cone and the sphere is:
Vcone + Vsphere = 83.33 + 268.08 = 351.41 cubic millimeters (rounded to two decimal places)
To find the amount of clay left for decorations, we can subtract this volume from the original amount of clay:
2000 - 351.41 = 1648.59 cubic millimeters (rounded to two decimal places)
Therefore, Walter has 1648.59 cubic millimeters of clay left for decorations.
The lines on the graph below represent the cost of apples at four different stores. A graph titled Cost of Apples has pounds of apples on the x-axis and total cost in dollars on the y-axis. Line A goes through points (0, 0) and (4, 3). Line B goes through points (0, 0) and (4, 4). Line C goes through points (0, 0) and (4, 5). Line D goes through points (0, 0) and (4, 8). At which store is the cost of apples the least? A B C D
Answer: the correct answer should be A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
on edge 2020
Help pleaseeeeeeeeeeeeeeeeeeeeee
Answer:
i think its contrast
Step-by-step explanation:
it s sayin this awncer is equal to the other one.