Answer:
area=πr√{h^2+r^2}
area=704cm^2, Height(h) =25cm
therefore,
by solving, πr√{h^2+r^2}=704cm^2
you will get value of r.
now, volume=πr^2×h/3
putting all values answer will come
Step-by-step explanation:
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(4x+2)=(5x-25)
4x-5x=-25-2
-x=-27
x-27
x = 27
4x + 2 = 5x - 25
First, you need to move the 2 to the other side of the equation to make it: 4x = 5x -25 - 2. Now evaluate what -25 - 2 is then you'll have: 4x= 5x + 27. Now move 5 to the other side of the equation: 5x-4x= 27 = x = 27
so, our answer is x = 27
Solve the system of linear equations using substitution. Use pencil and paper. Which expression would be easier to substitute into the other equation, in order to solve this problem? Explain your reasoning. X=6y-2 x=6y=9
Answer:
X = 6y-2 is the easier substitution for another equation because all you have to do is just plug in the equation into the value of x.
The length of a car measures 30 feet what is the length of a model car if the scale factor is 1:64
Answer:
5 5/8 inches
Step-by-step explanation:
Set up and solve an equation of ratios:
x 1
------- = -------
30 ft 64
Then 64x = 30 ft, and x (the length of the model car) is 30/64 ft, or
x = 0.469 ft, or 5 5/8 inches
A function is given.f(x) = 3x − 8; x = 2, x = 3(a) Determine the net change between the given values of the variable.(b) Determine the average rate of change between the given values of the variable.
The net change between the values of the variable x=2 and x=3 for the function f(x)=3x-8 is 1. The average rate of change between the values of x=2 and x=3 for the function f(x)=3x-8 is 3.
(a) The net change between the given values of the variable is determined by subtracting the function value at x = 2 from the function value at x = 3.
f(3) - f(2) = (33) - 8 - [(32) - 8] = 1
Therefore, the net change between the given values of the variable is 1.
(b) The average rate of change between the given values of the variable is determined by dividing the net change by the difference in the values of the variable.
Average rate of change = (f(3) - f(2))/(3-2) = (1/1) = 1
Therefore, the average rate of change between the given values of the variable is 1.
The net change between two points on a function is the difference in the function values at those points. In this case, the function values at x = 2 and x = 3 are 2 and 1, respectively. Therefore, the net change between these two points is 1.
The average rate of change between two points on a function is the slope of the line connecting those two points. In this case, the two points are (2, f(2)) and (3, f(3)). The slope of the line connecting these two points is the same as the average rate of change between these two points. The formula for the slope of the line passing through two points is (y2-y1)/(x2-x1), which is the same as the average rate of change formula. Therefore, the average rate of change between x = 2 and x = 3 is equal to the slope of the line connecting the two points, which is 1.
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what times 6/7 equals 1 whole
Answer:
7/6
Step-by-step explanation:
6/7 * 7/6= 1
can I get an explanation for what to do here??
Answer:
This is the in and out box where you can plug in the numbers in the x box into the above equations.
y = 7(6) - 3
y = 39
y = 7(5) - 3
y = 32
y = 7(-9) - 3
y = -66
y = 7(1) - 3
y = 4
y = 7(2) - 3
y = 11
We can use a normal probability model to represent the distribution of sample means for which of the following reasons? Check all that apply. the sample is randomly selected the distribution of the variable in the population is normally distributed the sample size is large enough to ensure that sample means will be normally distributed
All three reasons (1, 2, and 3) can be valid for using a normal probability model to represent the distribution of sample means.
1, 2, and 3 are correct.We can use a normal probability model to represent the distribution of sample means for the following reasons:
1. The sample is randomly selected. This ensures that each member of the population has an equal chance of being selected, reducing potential biases and allowing the use of a normal probability model.
2. The distribution of the variable in the population is normally distributed. When the population distribution is normal, the distribution of sample means will also be normally distributed, as stated by the Central Limit Theorem.
3. The sample size is large enough to ensure that sample means will be normally distributed. As the sample size increases, the distribution of sample means approaches a normal distribution, even if the original population distribution is not normal. This is also part of the Central Limit Theorem, which typically suggests a sample size of 30 or more.
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Find fractional notation for the ratio of 447 to 166.
we have the ratio
447 to 166.
so
447:166
Simplify
Its a irreducible fraction
so
answer is
447/166What is the equation of the graphed line written in standard form?
2x + 3y = -6
2x + 3y = 6
y=-2/3x-2
y= 2/3x-2
Answer:
What is the equation of the graphed line written in standard form?" has four options: 2x + 3y = -6, 2x + 3y = 6, y=-2/3x-2, and y= 2/3x-2. The standard form of a linear equation is Ax + By = C, where A, B, and C are constants. In this case, the first two options, 2x + 3y = -6 and 2x + 3y = 6 are already in standard form. The last two options, y=-2/3x-2 and y= 2/3x-2 are not in standard form. However, without additional information such as a graph or coordinates of points on the line, it is not possible to determine which of these options is the correct equation for the graphed line.
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Plz help I’m really stressed and I keep getting the answer wrong
Answer:
Step 1
I hope this helps!
HELPP QUICK PLSSS The solution to a two-variable system is the point on a graph at which the lines cross
Answer:
b. false, i think!
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
when the sum of the first ten terms of an arithmetic progression is four times the sum of the first five terms, the ratio of the first term to the common difference is:
The ratio of the first term to the common difference is 1 is to 1 (1:1).
Let's say the first term of the arithmetic progression is 'a' and the common difference is 'd'.
Then the sum of the first five terms will be,
S5 = a + (a + d) + (a + 2d) + (a + 3d) + (a + 4d) = 5a + 10d
And the sum of the first ten terms will be,
S10 = a + (a + d) + (a + 2d)+ ... + (a + 9d)
=10a + 45d
We have been given that sum of the first 10 terms is equal to four times the sum of the first 5 terms, i.e
S10 = 4S5
Substituting the expressions for S5 and S10 in terms of a and d, we get,
10a + 45d = 4(5a + 10d)
Simplifying this equation, we get,
10a + 45d = 20a + 40d
10d = 10a
d = a
So the ratio of the first term to the common difference is 1:1 or 1/1.
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The set for a school play needs a replica of a historic building painted on a backdrop that is 20 feet long and 16 feet high. The actual building measures 320 feet long by 256 feet high. A stage crewmember writes (x, y) arrow right ( 1/20 x, 1/20y) to represent the dilation. Is the crewmember's calculation correct if the painted replica is to cover the entire backdrop? Complete the explanation.
Answer:
Stage crewmember's calculation is incorrect
Correct = 1/16x 1/16y
Step-by-step explanation:
Given that:
Dimension of backdrop : 20 feets long ; 16 feets high
Actual dimension of building : 320 feets long ; 256 feets high
The correct scale factor can be obtained thus :
Ratio of backdrop dimension to the actual dimension of building
Length : 20 / 320 = 1 /16
Height : 16 / 256 = 1/16
Hence, stage crewmember's calculation of (1/20x ; 1/20y) is incorrect.
Solve the equation.
2 r=67 . 5
The solution to the equation 2r = 67.5 is r = 33.75, indicating that when r is multiplied by 2, it equals 67.5.
To solve the equation 2r = 67.5, we aim to find the value of r that satisfies the equation.
To isolate the variable r, we divide both sides of the equation by 2. This yields (2r) / 2 = 67.5 / 2.
By canceling out the denominator on the left side, we are left with r = 67.5 / 2, which simplifies to r = 33.75.
Therefore, the solution to the equation is r = 33.75. This means that when we substitute 33.75 for r and multiply it by 2, we obtain the value of 67.5, which satisfies the equation.
In summary, the equation 2r = 67.5 is solved by determining that the value of r is 33.75, indicating that when r is multiplied by 2, it equals 67.5.
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How do you solve this?? It says solve for X.
Answer:
x = 7
Step-by-step explanation:
Ok, so these angle are equal, because they are opposite angle
So we could write as x+16 = 4x - 5
Now we solve the equation:
x+16 = 4x - 5
16+5 = 4x -x
21 = 3x
7 = x
For each logarithmic equation, write an equivalent equation in exponential form
1. ln 618 = p
2.ln q = 2
3.ln 100 = t
4.ln(e^3)=3
Answer:
loga b = c ⇔ a^c = bApply the property above:
1. ln 618 = p ⇔ e^p = 618 2. ln q = 2 ⇔ e^2 = q 3. ln 100 = t ⇔ e^t = 100 4. ln (e^3) = 3 ⇔ e^3 = e^3why can't you just use the sample mean to estimate the population mean without including a margin of error?
It is not advisable to use the sample mean as an estimate of the population mean without including a margin of error.
When estimating a population parameter, such as the population mean, using a sample, it is essential to consider the uncertainty or variability in the sample estimate. This uncertainty is captured by the margin of error.
The sample mean provides an estimate of the population mean based on the available sample data. However, it is subject to sampling variability, meaning that different samples from the same population may yield different sample means. This variability arises due to the inherent randomness in the sampling process.
By including a margin of error, we acknowledge and quantify this sampling variability. The margin of error provides a range within which the true population mean is likely to lie. It accounts for the uncertainty associated with estimating the population parameter based on a finite sample.
Ignoring the margin of error means disregarding the inherent variability in the sample mean and assuming that it perfectly represents the true population mean. This assumption is generally not valid and can lead to inaccurate or misleading conclusions about the population.
By including a margin of error, we convey the level of confidence or precision associated with our estimate and provide a more realistic assessment of the population mean. This helps in making informed decisions or drawing valid statistical inferences based on the sample data.
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Astronauts for nasa must measure between 62 and 75 inches tall. Which equation best represents the minimum and maximum heights accepted for nasa astronauts?.
The minimum and maximum heights accepted for NASA astronauts are 62 inches and 75 inches, respectively. These values can be represented by the following equation: 62 <= height <= 75
This equation can be read as "the height must be greater than or equal to 62 inches and less than or equal to 75 inches."
Alternatively, you can represent the minimum and maximum heights using the following inequality:
62 < height < 75
This inequality can be read as "the height must be greater than 62 inches and less than 75 inches."
Either of these equations can be used to represent the minimum and maximum heights accepted for NASA astronauts.
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1. what does the regular expression ^comp141\.\*zip$ mean? that is, can you write an english sentence to describe it?
It is well known that utilizing a zip file is an effective method for reducing the size of the document in order to boost storage and sharing possibilities. A zipped folder may be smoothly moved from one place (the transmitter) to another without any issues (the receiver).
What is Zip and how does it work?One or more files can be compressed and stored together in one location using the ubiquitous ZIP file format. As a result, the file size is less and is simpler to transport and store. After transmission, the receiver can use the files in their original form by unzipping (or extracting) her ZIP file.
In order to increase storage and sharing capabilities by lowering the size of the document, it is known that using a zip file is an efficient technique. A zipped folder may be effortlessly transferred without any hiccups from one location (the transmitter) to another (the receiver). Using Zip files has the primary benefit of reducing the time required to send large files over email. The document's quality is unaffected and is identical to the original file when it is compressed using a zip file.
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In a sale, the price of a book is reduced by 25%.
The price of the book in the sale is £12
Work out the original price of the book
Question: In a sale, the price of a book is reduced by 25%. The price of the book in the sale is £12. Work out the original price of the book
Answer: £16
Step-by-step explanation:
To determine the original price of the book, we can use the fact that the sale price is 75% (100% - 25%) of the original price. Let's denote the original price as x.
75% of x = £12
To solve for x, we can set up the equation:
0.75x = £12
To isolate x, we divide both sides of the equation by 0.75:
x = £12 / 0.75
x = £16
Therefore, the original price of the book was £16.
8 please help me guys i’m stressing
Answer: 45 or C
Step-by-step explanation:
Sorry if Im wrong also can I have brainiest ?
I answered all my work correctly but I don’t understand this one.
Write a phrase for the expression 3(5−2m).
Answer:
three times 5 is fifteen and three times two is six m
Step-by-step explanation:
Karen bought 11/12 pound of fruit salad. How many 1/3 pound servings of fruit salad are in 11/12 pound?
HELP REAL QUICK PLEASE!!! ALGEBRAIC INEQUALITIES!!!
Answer:
i believe the answer is x >3
Step-by-step explanation:
pls brainliest me if it was helpful
Which of the following is the maximum value of the function y = -x2 + 2x + 1?
We first complete the square.
y=-x^2+2x+1
y=-x^2+2x-1+1+1
y=-(x-1)^2+2
The maximum point is (1,2) since -1 in ( ) meant 1 unit to the right and +2 meant 2 units up.
The maximum point is (1,2) but the maximum value means the y value which is simply just 2.
Done!
Round 291 to the nearest hundredth
Answer:
291 rounded to the nearest hundredth = 291.00
Step-by-step explanation:
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Kerry purchased a used car for $7,400 and had to pay 8½% sales tax. How much tax did she pay?
The requried, Kerry needs to pay $629 as tax.
To find out how much tax Kerry paid, we need to first calculate the amount of tax based on the purchase price of the car.
The sales tax rate is 8.5% or 0.085 as a decimal. So the amount of tax Kerry paid is:
$7,400 x 0.085 = $629
Therefore, Kerry paid $629 in sales tax.
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I don’t know if this is correct !!!!!!! Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!
Answer:
It is correct
HELPP
if you are diving from a diving board that is 20 feet in the air, into a pool. When jumping into the pool, you touch the bottom in the 10-foot section of the pool. How far did you fall from the diving board to the bottom of the pool? (sentence required)
Answer: 30 feet
Explanation:
Draw a vertical number line.
Mark +20 or simply 20 which is the starting position at the diving board. The value 0 on the number line is the water's surface. The position -10 is the portion 10 feet at the bottom of the pool.
Going from 20 to 0 is 20 feet. Then going from 0 to -10 is another 10 feet.
Overall, you travel 20+10 = 30 feet.