Answer:
Shyria was reading 52 pages per Hour
And it took her 9 Hours and 15 Minutes to finish the book
What's the area of the quarter circle if the diameter is 3 inches?
Answer:
Area of the full circle(A)= pi*d^2/4
A=3.143*3^2/4
A=7.07in^2
Area of the Quarter of the circle(B)
B=1/4A
B=1.77in^2
Step-by-step explanation:
Please help i will give brainly
Answer:
C
Step-by-step explanation:
Multiplying the sequence by 2 gives us the next term. Therefore it has to be the formula a1 x r^n-1. If we substitute the values it would end up as the answer C
Answer:
The correct answer would be option C; 12 x 2ⁿ⁻¹
Step-by-step explanation:
You can check this using any number
since n is the term number we can check it;
let's say we have to find out the answer to the third term number, so we will substitute the n by 3 in the equation from option C and solve
term = 12 x 2ⁿ⁻¹
term = 12 x 2 ³ ⁻¹
term = 12 x 2 ²
term = 12 x 4
term = 48
The term does match the third number in the series given above and hence the equation works!
Hope this helps!
the scores of students on the act college entrance examination in a recent year had a normal distribution with mean 24 and standard deviation 3.8. what act score should a student have in order to be in the top 5% of test takers? (use 3 decimals)
The ACT score a student should have in order to be in the top 5% of test takers is 30.253 (rounded to 3 decimal places).
We are given a normal distribution with mean µ = 24 and standard deviation σ = 3.8.
We need to find out the ACT score which a student should have to be in the top 5% of test takers.
To find the ACT score, we will use the Z-score formula:
z = (X - µ) / σWe know that for the top 5% of the test takers, the area under the curve should be equal to 0.05.
Therefore, we can use a standard normal distribution table to look up the corresponding z-score.z-score for the top 5% of test takers = 1.645
We need to find the ACT score, X.So, the formula becomes:1.645 = (X - 24) / 3.8
Let's solve for X.X - 24 = 1.645 × 3.8X - 24 = 6.253X = 24 + 6.253X = 30.253
Therefore, the ACT score a student should have in order to be in the top 5% of test takers is 30.253 (rounded to 3 decimal places).
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Can someone please help me on this, this is really confusing
Answer:
my educated guess would be B. i hope i dont get u the wrong answer
Step-by-step explanation:
Answer:
I think A
Step-by-step explanation:
I am not sure but if u multiply 7x7 u get 49 and when u do 9x7 it gets u close to 65 that is my guess
can someone help pls
Answer:
23.2
12
..........................................
If quadrilateral abcd is an isosceles trapezoid, which statements must be true? select three options bc ∥ ad bd ⊥ ac ba ≅ cd be ≅ ed ∠cba ≅ ∠bcd
The true statements among the given options are written below
bc || ad
ba ≅ cd
∠cba ≅ ∠bcd
In an isosceles trapezoid, there is one pair of legs of equal length and a pair of parallel lines.
Given that quadrilateral abcd is a isosceles trapezoid.
In the given trapezoid abcd
bc || ad ( pair of parallel sides )
So this is correct.
ba ≅ cd ( For an isosceles trapezoid legs are equal)
So this is correct
∠cba ≅ ∠bcd (According to the property of isosceles trapezoid )
So this is correct.
Hence, bc || ad, ba ≅ cd, ∠cba ≅ ∠bcd are correct
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Express this number in scientific notation: 0.0002077
Given the number:
0.0002077
Let's express in scientific notation.
To express the number in scientific notation, move the decimal point so that there is only one non-zero number to the left of the decimal point.
Then, the number of decimal places you move will be the exponent on 10.
If the decimal point is moved to the right, the exponent will be negative.
If the decimal pointt is moved to the left, the exponent will be positive.
In this case the decimal point will be moved to the right.
Using this description, we have the scientific notation below:
\(undefined\)Answer:
2.077 x \(10^{-4}\)
Step-by-step explanation:
First, move the decimal place until we have a single digit between 1 and 10 to the left of the decimal point. In this problem, if we keep moving the decimal point to the right in 0.0002077 we will get 2.077.
Next, count how many places we moved the decimal point. If we have to move the decimal place to the right, the exponent will be negative. If we had moved the decimal place to the left, the exponent would be positive. In this case we had to move it 4 places to the right to change 0002077 to 2.077. We show that we moved it 4 places to the right by noting that the number should be multiplied by \(10^{-4}\).
Suppose the supply and demand equations for a product are given by: p²+4q = 253 183 p² + 6q0 - Find the equilibrium point, and enter it as a point. Equilibrium Quantity: q = Equilibrium Price: p =
The equilibrium point for the supply and demand equations p² + 4q = 253 and 183p² + 6q = 0 is (q, p) = (3, 10).
To find the equilibrium point, we need to solve the system of equations formed by the supply and demand equations. By substituting the value of q = 3 into the first equation, we get p² + 4(3) = 253, which simplifies to p² + 12 = 253.
Solving this equation gives us p = 10. Substituting the values of q = 3 and p = 10 into the second equation, we get 183(10)² + 6(3) = 0, which simplifies to 18300 + 18 = 0.
Since this equation holds true, we have found the equilibrium point to be (q, p) = (3, 10), where the equilibrium quantity is q = 3 and the equilibrium price is p = 10.
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90 is what percent of 81?
Step-by-step explanation:
did you change the reference number ?
I think the original question was "90 is how many % of 80 ?"
now it is 81.
in % calculations the most important things to identify :
what are 100% (or any other reference % level).
then what is 1%.
and then multiply this 1% by the desired number of % or divide the target number by this 1% to find out how many % the target number is.
in our case here
100% = 81
1% = 100%/100 = 81/100 = 0.81
how many % are 90 ?
well, as many as how often 1% fits into these 90 :
90/0.81 = 111.111111111... %
when the reference was 80, then we had
90/0.8 = 112.5%
PLEAS HELP ILL GIVE BRAINLIEST
SHOW WORK OR NO BRAINLIEST
Answer:
Marta spent a total of $34.29
Step-by-step explanation:
Since she bought 3 towels for $8.50 each you would do 3 times $8.50 to get $25.50 for the towels and since she bought 5 washcloths for $1.25 each you would do 5 times $1.25 to get $6.25 then you would add the totals to get $31.75. Then you would find out the tax by finding out what 8% of $31.75 is which would be 2.54. So you would add $2.54 to $31.75 to get $34.29. So the total amount of money that Marta spent is $34.29
3 times $8.50 = $25.50
5 times $1.25 = $6.25
$25.50 + $6.25 = $31.75
a rectangular poster is to contain 392 square inches of print. the margins at the top and bottom of the poster are to be 2 inches, and the margins on the left and right are to be 1 inch. what should the dimensions of the poster be so that the least amount of poster is used?
The dimensions of the poster be so that the least amount of poster is used are A = 6L + 4W + 412.
Let the length and width of the printable area of the poster be L and W, respectively. Then, the total dimensions of the poster can be expressed as L + 2(2) and W + 2(1), since there are 2-inch margins at the top and bottom, and 1-inch margins on the left and right.
We know that the area of the printable area of the poster is 392 square inches. Therefore, we can write the equation: LW = 392
We want to minimize the total area of the poster, which is given by:
A = (L + 2(2))(W + 2(1)) = (L + 4)(W + 2)
Expanding this expression, we get:
A = LW + 2L + 4W + 8
Substituting the equation for LW, we get:
A = 392 + 2L + 4W + 8
Simplifying, we get:
A = 2L + 4W + 400
To minimize this expression, we can take the partial derivatives with respect to L and W and set them equal to zero:
\(∂A/∂L = 2 = 0 => L = 0\)
\(
∂A/∂W = 4 = 0 => W = -100\)
These values do not make sense in the context of the problem. Therefore, we can conclude that the dimensions of the poster that minimize the amount of poster used cannot be found using this method.
Instead, we can use the fact that the printable area of the poster has a fixed area of 392 square inches, and that the margins have fixed dimensions. We can express the area of the poster as:
A = (L + 4)(W + 2) = LW + 4L + 2W + 8
Substituting the equation for LW, we get:
A = 392 + 4L + 2W + 8
Simplifying, we get:
A = 4L + 2W + 400
To minimize this expression, we can again take the partial derivatives with respect to L and W and set them equal to zero:
\(∂A/∂L = 4 = 0 => L = 0\)
\(∂A/∂W = 2 = 0 => W = -200\)
These values do not make sense in the context of the problem. Therefore, we can conclude that the dimensions of the poster that minimize the amount of poster used cannot be found using this method either.
We can try a different approach. We can use the fact that the printable area of the poster has a fixed area of 392 square inches, and that the total area of the poster is given by:
A = (L + 4)(W + 2) + 2(L + 4) + 2(W + 2)
Expanding this expression, we get:
A = LW + 6L + 4W + 20
Substituting the equation for LW, we get:
A = 392 + 6L + 4W + 20
Simplifying, we get: A = 6L + 4W + 412
To minimize this expression, we can take the partial derivatives with respect to L and W and set them equal to zero:
\(∂A/∂L = 6 = 0 => L = -2/3\)
\(∂A/∂W = 4 = 0 => W = -3/2\)
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50 POINTS TO WHO EVER GETS THIS QUESTION CORRECT PLEASE HELP ME
On solving the provided question we can say that by property AAA both triangle EFG and CBE are similar and in the triangle UVT and QRS all sides are not equal, so it is not similar to any.
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
in the triangle UVT and QRS
all sides are not equal, so it is not similar to any.
in triangle EFG and CBE
angle EBC = angle EGF
angle BCE = angle GFE
angle BEC = angle FEG
so by property AAA both triangle EFG and CBE are similar
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In 2009 Usain bolt set the world record for sprinting 100 m in approximately 9 3over5 seconds
Answer:
10.41 seconds meters per second
1. divide 5 by 3 you get 0.6
2. he ran 9.6 seconds
3. divide 100 by 9.6 seconds getting 10.41 meters per second
Step-by-step explanation:
Hopefully this helped, if not HMU and I wwill get you a better answer.
-Have a great day! :)
Here is an equation: 2x+4y=80 use the equation to help you complete the table.
Which equation represents the same relationship?
Answer:
When x = 6, y is 17
When x = 12, y is 14
The equation of the line is D
Step-by-step explanation:
2x + 4y = 80 Subtract 2x from both sides
2x - 2x + 4y = 80 - 2x
4y = 80 - 2x Divide both sides by 4
y = 20 - 2/4 x
y = 20 - 1/2x
Substitute x with 6
y = 20 - 1/2(6)
y = 20 - 3
y = 17
Substitute x with 12
y = 20 - 1/2(12)
y = 20 - 6
y = 14
approximate the value of the series to within an error of at most 10−3. ∑n=1[infinity](−1)n 1(n 2)(n 6)
The value of the series, to within an error of at most 10^(-3), is approximately -1.
To approximate the value of the series ∑n=1 to infinity (-1)^n / (n^2)(n^6) within an error of at most 10^(-3), we can use the Alternating Series Estimation Theorem.
The Alternating Series Estimation Theorem states that for an alternating series ∑(-1)^n b_n, where b_n is a positive sequence that approaches zero as n approaches infinity, the error when approximating the sum of the series with the nth partial sum is less than or equal to the absolute value of the (n+1)th term.
In this case, b_n = 1 / (n^2)(n^6), which is a positive sequence that approaches zero as n approaches infinity. Therefore, we can use the theorem to find an appropriate value of n that ensures the error is within the desired tolerance.
Let's set the (n+1)th term to be less than or equal to 10^(-3):
\(1 / ((n+1)^2)((n+1)^6) < = 10^-3\)
Simplifying the inequality:
\(1 / ((n+1)^8) < = 10^-3\)
Taking the reciprocal of both sides:
\((n+1)^8 > = 10^3\)
Taking the eighth root of both sides:
\(n+1 > = (10^3)^1/8\)
\(n+1 > = 10^(3/8)\)
\(n > = 10^(3/8) - 1\)
Using a calculator, we can approximate the right-hand side:
n >= 1.568 - 1
n >= 0.568
Since n must be a positive integer, the smallest value of n that satisfies the inequality is n = 1.
Therefore, using the first term of the series, the approximation of the series within an error of at most \(10^-3\) is:
\((-1)^1 / (1^2)(1^6) = -1\)
So the value of the series, to within an error of at most \(10^-3\), is approximately -1.
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express the number as a ratio of integers. 5.880 = 5.880880880
5.880 can be expressed as the ratio of integers 127/25.
To express 5.880 as a ratio of integers, we can write it as follows:
5.880 = 5 + 0.880
To convert the decimal part (0.880) into a fraction, we can write it as a repeating decimal by observing the repeating pattern:
0.880880880...
The repeating part is "880", which has three digits.
Now, we can express 5.880 as a ratio of integers:
5.880 = 5 + 0.880 = 5 + 880/1000
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 10:
5.880 = 5 + 880/1000 = 5 + (880 ÷ 10)/(1000 ÷ 10) = 5 + 88/100
Finally, we can simplify the fraction further:
5.880 = 5 + 88/100 = 5 + 22/25
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An insurance company states that their claim office is able to process all death claims within 5 working days. Recently there have been several complaints that it took longer than 5 days to process a claim. Top management wants to make sure that the situation is status quo and sets up a statistical test with a null hypothesis that the average time for processing a claim is not more than 5 days, and an alternative hypothesis that the average time for processing a claim is greater than 5 days. After completing the statistical test it is concluded that the average exceeds 5 days. However, it is eventually learned that the mean process time does not exceed 5 days. What type of error occurred in the statistical test
The type of error that occurred in the statistical test is a Type I error (false positive).
In the given scenario, the statistical test resulted in the conclusion that the average time for processing a claim exceeds 5 days. However, it is later discovered that the mean process time does not actually exceed 5 days. Based on this information, the type of error that occurred in the statistical test is a Type I error.
Type I error, also known as a false positive, refers to rejecting the null hypothesis when it is actually true. In this case, the null hypothesis stated that the average time for processing a claim is not more than 5 days. However, due to some statistical variability or other factors, the test incorrectly led to the rejection of the null hypothesis, concluding that the average time does exceed 5 days.
In reality, when it was later discovered that the mean process time does not exceed 5 days, it indicates that the initial conclusion drawn from the statistical test was incorrect. This erroneous conclusion could have been caused by various factors such as sampling variability, measurement errors, or other random fluctuations in the data.
It is important to note that Type I errors can occur in hypothesis testing, and they represent the risk of incorrectly rejecting a true null hypothesis. In this case, the insurance company made a Type I error by concluding that the average processing time exceeds 5 days, even though it was not the case.
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(15 points) Suppose a company has average cost given by \[ \bar{c}=5 q^{2}+2 q+10,000+\frac{1,000}{q} \] Find the marginal cost.
The marginal cost for the given average cost function is
�
�
=
10
�
−
1
,
000
�
2
MC=10q−
q
2
1,000
.
To find the marginal cost, we need to take the derivative of the average cost function with respect to quantity (q). Let's calculate step by step:
�
ˉ
=
5
�
2
+
2
�
+
10
,
000
+
1
,
000
�
c
ˉ
=5q
2
+2q+10,000+
q
1,000
Differentiating the average cost function with respect to q:
�
�
ˉ
�
�
=
�
�
�
(
5
�
2
+
2
�
+
10
,
000
)
+
�
�
�
(
1
,
000
�
)
dq
d
c
ˉ
=
dq
d
(5q
2
+2q+10,000)+
dq
d
(
q
1,000
)
Simplifying:
�
�
ˉ
�
�
=
10
�
+
2
−
1
,
000
�
2
dq
d
c
ˉ
=10q+2−
q
2
1,000
The resulting expression is the marginal cost function:
�
�
=
10
�
−
1
,
000
�
2
MC=10q−
q
2
1,000
The marginal cost function for the given average cost function is
�
�
=
10
�
−
1
,
000
�
2
MC=10q−
q
2
1,000
. Marginal cost represents the change in total cost incurred by producing one additional unit of output. It consists of the change in variable costs as quantity changes. In this case, the marginal cost is determined by the linear term
10
�
10q and the inverse square term
−
1
,
000
�
2
−
q
2
1,000
. The linear term represents the variable cost component that increases linearly with the quantity produced. The inverse square term represents the diminishing returns, indicating that as quantity increases, the cost of producing additional units decreases. Understanding the marginal cost is crucial for companies to make informed decisions regarding production levels and pricing strategies.
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помогите решить контрошу братья
Answer:
.?
I don’t understand:/
if the tangent line to y = f ( x ) at ( 6 , 2 ) passes through the point ( 0 , 1 ) , find f ( 6 ) and f ' ( 6 ) .
if the tangent line to y = f ( x ) at ( 6 , 2 ) passes through the point ( 0 , 1 ) , then f(6) = 2 and f'(6) = 1/6.
To find f(6), we can use the fact that the tangent line to y = f(x) at (6, 2) passes through the point (0, 1). The equation of a line can be written as y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line.
Since the line passes through (6, 2) and (0, 1), we can substitute these values into the equation to get:
2 - 1 = m(6 - 0)
1 = 6m
Solving for m, we find m = 1/6.
Since the slope of the tangent line is equal to the derivative of f(x) at x = 6, we have f'(6) = 1/6.
Now, to find f(6), we can integrate f'(x) with respect to x:
f(x) = ∫(f'(x))dx = ∫(1/6)dx = (1/6)x + C
To find the value of C, we can substitute the point (6, 2) into the equation:
2 = (1/6)(6) + C
2 = 1 + C
C = 1
Therefore, f(x) = (1/6)x + 1.
Substituting x = 6 into the equation, we get:
f(6) = (1/6)(6) + 1 = 2.
So, f(6) = 2 and f'(6) = 1/6.
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Based on information from a large insurance company, 68% of all damage liability claims are made by single people under the age of 25. A random sample of 53 claims showed that 41 were made by single people under the age of 25. Does this indicate that the insurance claims of single people under the age of 25 is higher than the national percent reported by the large insurance company? State the null and alternate hypothesis.
No, it doesn't show that single individuals under the age of 25 have more insurance claims than the nationwide percent reported by the big insurance firm.
Hypothesis
Null hypothesis : H0: p = 0.68
Alternative hypothesis : Ha: p > 0.68
A random sample of 53 claims showed that 41 were made by single people under the age of 25.
Thus; p^ = 41/53 = 0.7736
The test statistic is
z = (p^ - p_o)/√(p_o(1 - p_o)/n)
z = (0.7736 - 0.68)/√(0.68(1 - 0.68)/41)
z = 0.0936/0.07285
z = 1.28
The p-value from z-score calculator, using z = 1.28, one tail hypothesis and significance level of 0.05,we have;
P(z > 1.28) = 0.100273
The p-value gotten is greater than the significance value and so we fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim.
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The lengt of a rectangle is 8 meters more that the width. If the area of the rectangle is 65 square meters, find the width
The width of the rectangle is 5 meters.
To find the width of the rectangle, let's use the formula for the area of a rectangle, which is:
Area = length x width
We know that the area of the rectangle is 65 square meters. We also know that the length of the rectangle is 8 meters more than the width. Let's call the width "w". Then, the length can be expressed as:
length = w + 8
Substituting this expression for length into the formula for the area, we get:
65 = (w + 8) x w
Simplifying and solving for w, we get:
w² + 8w - 65 = 0
Using the quadratic formula, we get:
w = (-8 ± √(8² + 4(1)(65))) / (2(1))
w = (-8 ± √(324)) / 2
w = (-8 ± 18) / 2
We take the positive value for w since the width cannot be negative:
w = (-8 + 18) / 2
w = 5
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cynthia is in a bike race and her pace is currently 68 miles in 2 hours. if she keeps up the pace, about how many hours will she finish the race which is a total of 248 miles?
If Cynthia keeps up her pace, she will finish the 248-mile bike race in approximately 7.29 hours.
To determine how many hours Cynthia will finish the 248-mile bike race given her pace of 68 miles in 2 hours, follow these steps:
1. Calculate her speed by dividing the distance by the time:
speed = 68 miles / 2 hours
speed = 34 miles per hour.
2. Divide the total distance of the race (248 miles) by her speed (34 miles per hour) to find the time:
time = 248 miles / 34 miles per hour
time ≈ 7.29 hours.
Thus, we can state that if Cynthia keeps up her pace, she will finish the 248-mile bike race in approximately 7.29 hours.
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I figured out the other missing numbers I just can’t find 4 and 5 I don’t get it.
Answer:
I believe that 4 is 62 and 5 is 70
Step-by-step explanation:
21 what divided by what equals 7
Answer:
3
Step-by-step explanation:
Answer:
21 divided by 3 = 7
Step-by-step explanation:
hope this helps
PLZZZZ HELP ME WITH THIS QUESTION WITH AN EXPLANATION
Answer :
Given : A and B are complementary angles. B and C are complementary angles.
Prove : A C
I have attached a picture of me doing it. Hope this helps, thank you :) !!
3 Evaluate 7xy when x=4 and y=3
O
74
O
84
O 77
Answer:
84
Step-by-step explanation:
4×3=12×6=84
so the answer is 84
Answer:
84
Step-by-step explanation:
7xy
7(4)(3)
28(3)
84
Choose the best graph that represents the linear equation:
X = -3
Salma got a prepaid debit card with $20 on it. For her first purchase with the card, she bought some bulk ribbon at a craft
store. The price of the ribbon was 7 cents per yard. If after that purchase there was $18.46 left on the card, how many yards of
ribbon did Salma buy?
Answer:
22 yards
Step-by-step explanation:
Let x equal the number of yards of ribbon at $.07 per yard:
$18.46 + 0.07x = $20.00
Solve for x
Subtract $18.46 from both sides
0.07x = $1.54
Divide both sides by .07
x = 22
Solve the inequality- x+18 ≥ 8x+4 or 15x-15 ≤ 15x+5
I give Brainliest!
Answer:
x ≥ 2
0 ≤ 20 (not quite sure if the question is right)
Step-by-step explanation:
x+18 ≥ 8x+4
x - 8x ≥ 4 - 18
-7x ≥ -14
x ≥ \(\frac{-14}{-7}\)
x ≥ 2
________________
15x-15 ≤ 15x+5
15x - 15x ≤ 5 + 15
0 ≤ 20
(I don't think this is the right question...cuz theres a 0)
The two inequalities -x+18 ≥ 8x+4 or 15x-15 ≤ 15x+5 represent a line or a plane that is less than or equal to 14/9.
What is linear equality?Linear inequalities are in the form of linear equations.
We know inequality shows that states a relationship between expressions that they are less than, less than equal to, greater than and greater than equal to each other.
First expressioon is - x + 18 ≥ 8x + 4,
18 - 4 ≥ 8x + x.
14 ≥ 9x.
x ≤ 14/9.
The second expression is,
15x - 15 ≤ 15x + 6.
15x - 15x ≤ 6 + 5.
0x ≤ 11.
x ≤ 11/0, which is undefined as anything divided by zero is not defined.
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