What is the circumference of a circle with a radius of 80 inches?

This statement is TRUE. When we are doing a problem, we could use these questions " what is the equation asking you do? what is your plan to solve?" as the part of starting solving the problem in math about equation matter.

In mathematics, an equation is an equation statement that contains one or more variables. Solving equations consists of determining which variable values makes an equality true. The variable is also called "unknown" and the value of an "unknown" that satisfies the equation is called the equation solution. There are two types of equations: identity and conditional equations. True identity for all variable values. The conditional equation is true only for certain variable values.

An equation is a mathematical statement in the form of a symbol which states that two things are exactly the same. Equations are written with an equal sign (=), as follows:

x + 3 = 5, which states that value x = 2.

2x + 3 = 5, which states that the value x = 1.

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Answer:

15

Step-by-step explanation:

5n = 82 - 7

82 - 7 = 75

75/5 = 15

n = 15

Answer:

7

Step-by-step explanation:

you add all the numbers together and get 70, and then you divide that answer (70) by the amount of numbers that are listed (10), and you get the answer 7. Also if this is wrong its because i'm in class and about to leave so i'm in a rush.

Answer:

6.26 yards

Step-by-step explanation:

Answer:

6.25 would be the answer :)

Step-by-step explanation:

a. sqrt(22.38/4 + 22.38/8) = 2.98. b. sqrt(89.33/4 + 89.33/8) = 3.95. c.  the standard deviation of the distribution of sample means, also increases.

a. The pooled variance is 22.38 and the estimated standard error is 2.98.

To calculate the pooled variance, we use the formula: pooled variance = [(n1 - 1)s1^2 + (n2 - 1)s2^2] / (n1 + n2 - 2). Plugging in the values, we get: [(4-1)*17 + (8-1)*27] / (4+8-2) = 22.38. The estimated standard error is calculated using the formula: estimated standard error = sqrt(sp^2/n1 + sp^2/n2), where sp^2 is the pooled variance. Plugging in the values, we get: sqrt(22.38/4 + 22.38/8) = 2.98.

b. The pooled variance is 89.33 and the estimated standard error is 3.95.

To calculate the pooled variance, we use the same formula as in part a: [(n1 - 1)s1^2 + (n2 - 1)s2^2] / (n1 + n2 - 2). Plugging in the new values, we get: [(4-1)*68 + (8-1)*108] / (4+8-2) = 89.33. The estimated standard error is calculated using the same formula as in part a: estimated standard error = sqrt(sp^2/n1 + sp^2/n2), where sp^2 is the pooled variance. Plugging in the new values, we get: sqrt(89.33/4 + 89.33/8) = 3.95.

c. Increased variance leads to a larger estimated standard error.

In part a, the estimated standard error was 2.98, while in part b it increased to 3.95. This is because as the variance of the samples increases, the variability of the sample means also increases. As a result, the estimated standard error, which measures the standard deviation of the distribution of sample means, also increases.

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Answer:

He has:

20 quarters : 0.25x20= 5.00

16 dimes: 0.10x 16 = 1.60

20+ 16= 36 coins

5.00 + 1.60 = $6.60

Hyperbola will form out from the cone.

The generator, vertex, and vertical axis are three crucial components of the double-napped cone. Conic sections or conics are the curves that result from the division of a double-napped cone into sections by a plane.

A plane intersects with both parts of a double cone to form a hyperbola, which is an open curve with two branches. The hyperbola will be symmetrical regardless of whether the plane is parallel to the axis of the cone or not.

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The sum of the series converges to 7 / (1 + 2z), and the domain for which it converges is -1/2 < z < 1/2.

To find the sum of the given geometric series\(7−14z+28z^2−56z^3+\)⋯, we need to first identify the first term (a) and the common ratio (r).
Step 1: Identify the first term (a)
The first term is 7.
Step 2: Identify the common ratio (r)
Observe the series and find the ratio between consecutive terms:
-14z / 7 = -2z
\(28z^2 / -14z = -2z\)
\(-56z^3 / 28z^2 = -2z\)
The common ratio is -2z.
Step 3: Determine the convergence of the series
A geometric series converges when the absolute value of the common ratio (|r|) is less than 1:
| -2z | < 1
To solve for the domain of z, we need to find the values for which this inequality holds:
-1 < -2z < 1
Divide all parts of the inequality by -2, and remember to reverse the inequality signs when dividing by a negative number:
1/2 > z > -1/2
Step 4: Find the sum of the converging series
For a converging geometric series, the sum can be calculated using the formula:
sum = a / (1 - r)
Plug in the values of a and r:
sum = 7 / (1 - (-2z))

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Answer:

17/20

Step-by-step explanation:

The ratio 8.5 to 10 as a fraction in simplest form is 17/20. 8.5/10 = 85/100 = 17/20

(8.5:10 = 85:100 = 85/100 = 17/20)

Answer:

\(\frac{-8}{27}\)

Step-by-step explanation:

\(\frac{-5}{9}\) - \(\frac{-7}{27}\)  Subtracting a negative is the same as adding a positive.  So I would change the form to addition.

\(\frac{-5}{9}\) + \(\frac{7}{27}\)  Now to add, we need a common denominator.  Let's us 27

\(\frac{-5}{9}\) = \(\frac{-15}{27}\)  We multiple the numerator and denominator (top and bottom) by 3 to make an equivalent fraction.

\(\frac{-15}{27}\) + \(\frac{7}{27}\)  the bottom number stays the same and we add the top numbers

-15 + 7 = -8

\(\frac{-8}{27}\)

Answer: -8/27

Step-by-step explanation:

\(\displaystyle\\-\frac{5}{9} -(-\frac{7}{27} )=\\\\-\frac{5*3}{9*3} +\frac{7}{27} =\\\\\frac{-15}{27}+\frac{7}{27}=\\\\ \frac{-15+7}{27}=\\\\ \frac{-8}{27} =\\\\-\frac{8}{27}\)

A rectangular prism in which BA = 20 and h = 6 has a volume of 120 units³; therefore, Shannon is correct. The correct option is A.

To compare the volumes of the rectangular pyramid and the rectangular prism, we need to find the base area (BA) of the pyramid. The volume (V) of a pyramid is given by the formula:

\(V = \dfrac{1}{3} \times BA \times h\)

where BA is the base area and h is the height.

Given that the volume of the pyramid is 40 units³ and the height is 6 units, we can find the base area:

40 = (1/3) x BA x 6

Now, solve for BA:

\(BA = \dfrac{(40 \times 3)} { 6}\\BA = 20\ units^2\)

Now, let's check the options:

A rectangular prism in which BA = 20 and h = 6 has a volume of 40 units³; therefore, Shannon is incorrect.

The volume of the rectangular prism with BA = 20 and h = 6 is (20 x 6) = 120 units³, not 40 units³. So, this statement is incorrect.

A rectangular prism in which BA = 6.67 and h = 6 has a volume of 40 units³; therefore, Shannon is incorrect.

We have already determined that the base area of the pyramid is 20 units², not 6.67 units². So, this statement is incorrect.

A rectangular prism in which BA = 20 and h = 6 has a volume of 120 units³; therefore, Shannon is correct.

This statement matches our calculations. The volume of the rectangular prism with BA = 20 and h = 6 is (20 x 6) = 120 units³, which is three times the volume of the pyramid. So, this statement is correct.

A rectangular prism in which BA = 6.67 and h = 6 has a volume of 120 units³; therefore, Shannon is correct.

The base area of the pyramid is 20 units², not 6.67 units². So, this statement is incorrect.

A rectangular prism in which BA = 20 and h = 6 has a volume of 120 units³; therefore, Shannon is correct.

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The complete question is attached below:

A rectangular pyramid has a height of 6 units and a volume of 40 units3. Shannon states that a rectangular prism with the same base area and height has a volume that is three times the size of the given rectangular pyramid. Which statement explains whether Shannon is correct?

A rectangular prism in which BA = 20 and h = 6 has a volume of 40 units3; therefore, Shannon is incorrect.

A rectangular prism in which BA = 6.67 and h = 6 has a volume of 40 units3; therefore, Shannon is incorrect.

A rectangular prism in which BA = 20 and h = 6 has a volume of 120 units3; therefore, Shannon is correct.

A rectangular prism in which BA = 6.67 and h = 6 has a volume of 120 units3; therefore, Shannon is correct.

The side lengths form a proportional relationship, and the ratios are given as follows:

17.955/11.97 = 14.565/9.71 = 5.415/3.61.

Similar triangles are triangles that share these two features presented as follows:

For this problem, the triangles are similar, as they have the same angle measures, and thus the side lengths form a proportional relationship, as the equivalent side lengths have a ratio of 1.5.

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Answer:

D. \( \frac{{7}^{11} }{ {4}^{11} } \)

Step-by-step explanation:

\(( \frac{7}{4}) {}^{11} = \frac{7 {}^{11} }{4 {}^{11} }\)

Since we are multiplying an exponential number to a fraction the answer is going to be

\( \frac{7 {}^{11} }{4 {}^{11} } \)

Hope this helps ❤❤❤ ;)

Answer:

\(D. \frac{7^{11} }{4^{11} } \\\)

Step-by-step explanation:

Hello, I can help you with this

Let's remmber some propiertis of the fraction numbers and the potenciation

Let

\(a^{m} * a^{n}=a^{m+n}\\(a^{m})^{n}=a^{m*n}\\(\frac{a}{b})^{m}=\frac{a^{m} }{b^{m}}\)

Step 1

All you have to do is identify and use the formula

let

\((\frac{7}{4})^{11}\\ a=7\\b=4\\m=11\\so\\(\frac{7}{4})^{11}=\frac{7^{11} }{4^{11} } \\\)

so, the answer is D.

I hope it helps, have a nice day

The slope of the tangent line is -3/5. So, the correct option is (e).

To find the curve C, we substitute y = 1 into the equation for the surface:

z = arctan((x + y)/(1 - xy))

z = arctan((x + 1)/(1 - x))

So the curve C is given by the equation:

C: (x, 1, arctan((x + 1)/(1 - x)))

To find the slope of the tangent line to C at the point where x = 2, we need to take the derivative of z with respect to x and evaluate it at x = 2:

z = arctan((x + 1)/(1 - x))

dz/dx = 1/(1 + ((x + 1)/(1 - x))^2) * (1 - (x + 1)/(1 - x)^2)

= (1 - x^2)/(1 + 2x)

At x = 2, the slope of the tangent line is:

dz/dx | x=2 = (1 - 2^2)/(1 + 2(2)) = -3/5

Therefore, the correct answer is (e) -3/5 .

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____The given question is incomplete, the complete question is given below:

The plane y=1 intersects the surface z= arctan((x + y)/(1=xy)) in a curve C. Find the slope of the tangent line to C at the point where x=2. Select one: a 1/3, b 1/5, c 1/2, d -1, e -3/5.

The predicted number of adults in Oak City whose main source of news is newspapers or the radio is 85

To predict the number of adults in Oak City whose main source of news is newspapers or the radio, we need to add the number of adults who answered "Newspapers" to the number of adults who answered "Radio".

According to the sample data

Number of adults who answered "Newspapers": 64

Number of adults who answered "Radio": 21

Therefore, the predicted number of adults in Oak City whose main source of news is newspapers or the radio we have to use the addition

64 + 21 = 85

Rounding this answer to the nearest whole number, we get

85 ≈ 85

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The given question is incomplete, the complete question is:

There are 44,000 adults living in Oak City. In examining attitudes toward the news, a research group asked a random sample of Oak City adults "What is your main source of news?" The results are shown below. Main Source of News Newspapers Number of Adults 64 Internet 80 Television 126 Radio 21 Other 40 Based on the sample, predict the number of adults in Oak City whose main source of news is newspapers or the radio. Round your answer to the nearest whole number.

Answer: B = False

Step-by-step explanation: Doesn't need one mainly because a rational  function has an equation and no expression, most rational functions may have one. For example 2x + 7 x + 5x = ???

Floridyne would use an equivalent unit labor of 166,340 unit to calculate the cost per equivalent unit for direct labor.

Under weighted average, we do not make distinction between started and finished and just finished. Thus we work with finished and ending WIP only:

Finished         162,000

Ending - WIP    6,200 ending at 70% complete

Equivalent units for labor = Finished + Percentage of completion ending units

= 162,000 + 6,200 x 70%

= 166,340

Therefore, he would use an equivalent unit labor of 166,340 unit to calculate the cost per equivalent unit for direct labor.

Missing word "Floridyne, Inc. manufactures mouthwash. They had no finished goods inventory at the beginning of 2019. They have only one processing department for this product. A review of the company’s inventory records shows the following: At the beginning of January 2019, Floridyne has 4,500 gallons of mouthwash in process. (costs $8,410 for materials, 1,663 for labor and 4,990 for overhead) During 2019, Floridyne finishes/transfers 162,000 gallons of mouthwash. On December 31, 2019, Floridyne has 6,200 gallons of mouthwash that is 70% complete. Direct materials are added half at the beginning of the process and half after the process is 60% complete. During 2019 $349,000 of direct materials and $92,500 of direct labor were added. Using the weighted average approach to process costing,"

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The green mathematics tells about the impulse response of an in homogeneous linear differential operator.

According to the statement

we have to explain the green mathematics.

In mathematics, Actually there is a Green Function which was founded by a mathematician George Green.

In this function, a Green's function is the impulse response of an in homogeneous linear differential operator defined on a domain with specified initial conditions or boundary conditions.

The example of green function is the Green's function G is the solution of the equation LG = δ, where δ is Dirac's delta function; the solution of the initial-value problem Ly = f is the convolution (G ⁎ f), where G is the Green's function.

Actually in this function, it gives the relationship between the line integral of two dimensional vector over a closed path by a integral.

In this there is a green theorem, which  relates a line integral around a simply closed plane curve C and a double integral over the region enclosed by C.

So, The green mathematics tells about the impulse response of an in homogeneous linear differential operator.

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Answer:

Step-by-step explanation:

Volume of the cone, V=1/3*Π*r^2*h

we have the slant height, and we need to find the h, height

a^+b^2=c^2

where c is 13

169=25+h^2

h^2=144

h=12

V=1/3*3.14*25*12=100*3.14=314.15 ft^3

Answer:

If there is no 48 divided by 8 then it is 8 x _ = 48.

Step-by-step explanation:

Think about it. There are 6 times more children than adults *6 x 8 = 48.

Answer:

8 x______=48

Step-by-step explanation:

In the problem, they are telling you there are 48 children and 8 adults at the library. Then, they tell you how many times more adults than children are at the library. You aren't adding, and since they are saying times more, that is a sign of multiplication. Hope this helps!

Answer:

15%

Step-by-step explanation:

You add up all the frequencies and divide by 9 (the amount 6 was rolled).

It adds up to 60. Divide 9 by 60 and you have 15%.

The population mean is 15.6 if A population consists of the following five values: 11, 13, 15, 17, and 22.

What is Mean ?

In statistics, the mean is a measure of central tendency of a set of numerical data. It is commonly referred to as the average, and is calculated by adding up all the values in the data set and dividing the sum by the total number of values.

a. To list all samples of size 3, we can take all possible combinations of 3 values from the population:

{11, 13, 15}: mean = 13

{11, 13, 17}: mean = 13.67

{11, 13, 22}: mean = 15.33

{11, 15, 17}: mean = 14.33

{11, 15, 22}: mean = 16

{11, 17, 22}: mean = 16.67

{13, 15, 17}: mean = 15

{13, 15, 22}: mean = 16.67

{13, 17, 22}: mean = 17.33

{15, 17, 22}: mean = 18

b. To compute the mean of the distribution of sample means, we need to find the mean of all the sample means computed in part (a). There are 10 sample means, so we add them up and divide by 10:

(13 + 13.67 + 15.33 + 14.33 + 16 + 16.67 + 15 + 16.67 + 17.33 + 18)  ÷10 = 15.4

To compute the population mean, we simply take the average of the population values:

(11 + 13 + 15 + 17 + 22) ÷ 5 = 15.6

Therefore, the population mean is 15.6

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The correct answer is 7XS when RR' = 14, then RZ = 7 when the parallelogram PQRS is reflected across the line of reflection.

Given that,

If RR' = 14, then RZ = 7 when the parallelogram PQRS is reflected across the line of reflection.

SX = 5 if Y = 5.

In Euclidean geometry, a parallelogram is a straightforward (non-self-intersecting) quadrilateral with two sets of parallel sides.

A parallelogram has equal-length opposing angles and facing or opposing sides.

The Euclidean parallel postulate or one of its equivalent formulations must be used in order to demonstrate the congruence of opposite sides and angles because both requirements flow naturally from this postulate.

A quadrilateral with only one pair of parallel sides, on the other hand, is referred to in British or American English as a trapezoid or trapezium.

We get,

The parallelepiped is a three-dimensional representation of a parallelogram.

So, 7 XS is the right response to the question.

Therefore, The correct answer is 7XS when RR' = 14, then RZ = 7 when the parallelogram PQRS is reflected across the line of reflection.

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Answer:

1. 7

2. XS

Step-by-step explanation:

Answer:

4006

Step-by-step explanation:

The inverse Laplace transform of G(s) is \(g(t) = 10e^{-t} - 10e^{-3t}\).

To find the inverse Laplace transform of the given function G(s), we can use partial fraction decomposition and known Laplace transforms. The partial fraction decomposition of G(s) is:

\(G(s) = 10s^2e^{-s} / (s+1)(s+3)\)

To perform the partial fraction decomposition, let's write G(s) in the following form:

G(s) = A/(s+1) + B/(s+3)

To find the values of A and B, we need to find a common denominator for the two fractions on the right-hand side:

\(10s^2e^{-s} = A(s+3) + B(s+1)\)

Expanding the right-hand side:

\(10s^2e^{-s} = As + 3A + Bs + B\)

Now, equating the coefficients of \(s^2\), s, and the constant term:

Coefficient of \(s^2\):

10 = A

Coefficient of s:

0 = A + B

Constant term:

0 = 3A + B

From the first equation, A = 10. Substituting this value in the second and third equations:

0 = 10 + B

0 = 3(10) + B

From the second equation, B = -10. Substituting B = -10 into the third equation:

0 = 3(10) - 10

0 = 30 - 10

0 = 20

Now that we have the values of A and B, we can rewrite G(s) as:

G(s) = 10/(s+1) - 10/(s+3)

To find the inverse Laplace transform of G(s), we can use the known Laplace transform pairs. The inverse Laplace transform of 10/(s+1) is 10e^(-t), and the inverse Laplace transform of \(-10/(s+3) is -10e^{-3t}\). Therefore, the inverse Laplace transform of G(s) is:

\(g(t) = 10e^{-t} - 10e^{-3t}\)

So, the inverse Laplace transform of G(s) is \(g(t) = 10e^{-t} - 10e^{-3t}\).

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Use a compass and draw an arc across both the legs of the given angle is a correct step in constructing congruent angles.

Because its pairs of opposite sides are parallel, a rectangle is a parallelogram by definition. Another unique quality of a rectangle is that it has four congruent angles, all of which are right angles.

If the matching sides and angles of two angles have the same size, they are said to be congruent. If two angles line up when superimposed, they are also said to be congruent. That is, if twisting it or moving it causes them to line up with one another. A parallelogram's diagonals also create congruent vertex angles.

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Answer: 0.98630136986

Step-by-step explanation:

There are 365 possible birthdays. The key to assigning the probability is to think in terms of complements: “Two (or more) people share a birthday” is the complement of “All people in the group have different birthdays.” Each probability is 1 minus the other. What is the probability that any two people have different birthdays? The first person could have any birthday (p = 365÷365 = 1), and the second person could then have any of the other 364 birthdays (p = 364÷365). Multiply those two and you have about 0.9973 as the probability that any two people have different birthdays, or 1−0.9973 = 0.0027 as the probability that they have the same birthday. If you have a group of five, it would mean your equation would have to be (p=360÷365)

Answer:

w = 12°

Step-by-step explanation:

Angle J = Angle H

Angle K = Angle I

So lets find the sum of the entirety of angles

360° = 2w + 34° + 2w + 34° + 4w + 74° + 4w + 74°

360° = 12w + 68° + 148°

360° = 12w + 216°

Subtract 216° from both sides

360° - 216° = 12w + 216° - 216°

144° = 12w

Divide both sides by 12

144°/12 = 12w/12

12 = w

w = 12°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Step-by-step explanation:

Consider that adjacent angles are supplementary in any parallelogram (including rhombus).

Solve for w:

Find the value of ∠J:

Answer:

C

Step-by-step explanation:

Hope that helps!

Answer:

C.

Step-by-step explanation:

Uneven steps,

good luck, i hope this helps :)