Let 3z=(2w-5)^3. If dw/dt =1/3, find dz/dt when z=9

The approximate length of a side of the field is 22ft.

Square, in geometry serves as a plane figure  that has  four equal sides and four right (90°) angles.

To calculate the  we can use the formula (LW)

But the area of square is been given as 479 ft2

Hence, 479=L^2

Then if we find the square root, we have

L=W=21.88

=22 rounded

Therefore, approximate length of a side of the field is 22ft.

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Answer:

Answer mine plz

Step-by-step explanation:

Answer:

its 25

Step-by-step explanation:

I guess I was help full for u

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The correct unit of measure for the mean of the sampling distribution of I is A. Dollars.

The original distribution of prices for the car model is given in dollars, and the mean of the sampling distribution represents the average price of a random sample of 4 cars from that distribution. Hence, the correct unit of measure should be in dollars also.

In statistics, the mean is a measure of central tendency that represents the average value of a dataset. It is calculated by adding up all the values in a dataset and dividing by the number of observations. The formula for the mean of a dataset is:

mean = (sum of observations) / (number of observations)

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Answer:

I have no idea , but it is a obtuse / 190 degree angle

Hmmm.... i think its 180 OR 185

Step-by-step explanation:

For a clinical trial (study) on the mean GPA of night students, the appropriate null and alternative hypotheses would be given by:

A null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (H₁) and it asserts that two (2) possibilities are the same.

For a clinical trial (study) on the mean GPA of night students, the appropriate null and alternative hypotheses would be given by:

In conclusion, we can infer and logically deduce that this test would be right-tailed.

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To determine the concentration of the analyte in the unknown using the fit parameters and the linear model, you need to substitute the given signal value into the equation y = mx + b.

In this case, the linear model is represented by the equation y = mx + b, where:

y is the signal value (80.77 in this case),

m is the slope obtained from the regression analysis, and

b is the y-intercept obtained from the regression analysis.

You haven't provided the values of m and b, so I'll use placeholders for now.

Let's assume the slope (m) obtained from the LINEST formula is m = 2.5 and the y-intercept (b) is b = 10.

Substituting these values into the equation:

y = mx + b

80.77 = 2.5x + 10

To find the concentration (x), we can rearrange the equation:

2.5x = 80.77 - 10

2.5x = 70.77

x = 70.77 / 2.5

x ≈ 28.31

Therefore, based on the given fit parameters and the linear model, the concentration of the analyte in the unknown is approximately 28.31 ppm Co2+.

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Answer:

816 = 10.2%

Step-by-step explanation:

800 x (1 + 0.02)1

800 x (1.02)1

800 x 1.02

Accumulated Value = 816

10.2%= of 8000 = 816

Answer:

Step-by-step explanation:

Maggie's mistake on the solution of the expression for x was when she subtracted 7x to both sides, the result should have been -3x and not 3x.

The equation is given as follows, as the angles are congruent, that is, they have the same measure:

4x + 2 = 7x - 25.

First, we isolate x on the left side of the equality, subtracting 7x from both sides, hence:

4x + 2 - 7x = 7x - 25 - 7x

Then the correct expression is:

-3x + 2 = -25

Which is where Maggie's mistake happened, on the subtraction of 4x and 7x.

Then, isolating x, we subtract 2 from both sides of the equality, to remove the +2 term on the left side of the equality.

-3x = -27

3x = 27

x = 27/3

x = 9.

The correct solution is x = 9.

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The measures of angles 4 and 5 are:

∠5 = 104°

∠4 =76°

On the image we can see that angles 1 and 2 are next to eachother, that means that the sum of their measures must be a plane angle, that is an angle of 180°.

Then we can write the sum:

∠1 + ∠2 = 180°

(3x + 5) + (2x + 10) = 180

5x + 15 = 180

5x = 180 - 15

x = 165/5 = 33

the measure of angle 5 is the same one of angle 1 then:

∠5 = (3*33 + 5)° = 104°

And angle 4 is supplementary of angle 1, then:

∠4 + 104° = 180°

∠4 = 180 - 104= 76°

These are the measures

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To convert watts to horsepower, use the formula 1Hp = 735Watt.

Watt and horsepower are both power units.

Nevertheless, horsepower is a more potent unit of power. We measure the power of electrical instruments such as turbines, motors, and a variety of other devices using horsepower.

Hence, 1 Horsepower is 735 Watt using standard unit conversion rates.

1 Hp = 735 W

As a result, we have the conventional relationship 1Hp = 735 W. We can now simply convert any horsepower provided to the unit of Watt.

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Using the normal distribution, the probability that the sample proportion of households spending more than $125 a week is less than 0.3 is 30.29%.

Normal distribution refers to a continuous probability distribution wherein values lie in a symmetrical fashion mostly centered around the mean. In a normal distribution, the probability is calculated using the z-score of a measure X. A Z-score refers to a numerical measurement that defines a value's relationship to the mean (of a group of values).

In order to determine the probability of the sample proportion, the z-score of a measure X is determined.

z-score = (X - µ)/σ where µ is the mean and σ is the standard deviation.

The standard deviation σ = √(p(1-p)/n

From the given data:

n = no of random sample = 145

p = probability of success (household spending more than $125) = 0.32

Hence,

σ = √((0.32(1-0.32)/145) = 0.0387

Calculating the z-score when X = 0.3

z-score = (0.3 – 0.32)/0.0387 = -0.516

From the table, the probability of z = -0.516

P(X<z) = 0.30293 or 30.29%

The probability that the sample proportion of households spending more than $125 a week is less than 0.3 is 30.29%.

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A. The the restriction on the a-i's needed for W-a to be an unbiased estimator of μ is a-1 + a-2 + a-3 + a-4 = 1.

B. The variance simplifies to Var(W-a) = a-1² × Var(Y-1) + a-2² ×Var(Y-2) + a-3² × Var(Y-3) + a-4² × Var(Y-4).

C. The weights a-i must a-1 = 1/4, a-2 = 1/4, a-3 = 1/4, a-4 = 1/4.

D. The Var(W-a) is twice as large as Var(Y) in this case.

E. The Var(W-a) ≥ Var(Y) holds, demonstrating that Y is the best (least variance) linear unbiased estimator for μ.

To analyze the given problem, through each part step by step:

For the estimator W-a to be unbiased, its expected value E(W-a) must equal the population mean μ. In other words:

E(W-a) = a-1 × E(Y-1) + a_2 × E(Y-2) + a-3 × E(Y-3) + a-4 × E(Y-4) = μ.

Since the Y-i's are an i.i.d. random sample with a common mean μ, we have:

E(Y-i) = μ for i = 1, 2, 3, 4.

To find the variance of W-a, Var(W-a), use the property that the variance of a linear combination of random variables is equal to the corresponding linear combination of their variances. Since the Y_i's are i.i.d. with a common variance σ², we have:

Var(W-a) = a-1² × Var(Y-1) + a-2² × Var(Y-2) + a-3² × Var(Y-3) + a-4² × Var(Y-4) + 2 × a-1 × a-2 × Cov(Y-1, Y-2) + 2 × a-1 × a-3 × Cov(Y-1, Y-3) + 2 ×a-1 × a-4 × Cov(Y-1, Y-4) + 2 × a-2 × a-3 ×Cov(Y-2, Y-3) + 2 × a-2 × a-4 ×Cov(Y-2, Y-4) + 2 × a-3 × a-4 × Cov(Y-3, Y-4).

However, since the Y-i's are assumed to be independent, the covariance terms vanish:

Cov(Y-i, Y-j) = 0 for i ≠ j.

Since the Y-i's have a common variance σ^2, we can further simplify:

Var(W-a) = σ² × (a-1² + a-2² + a-3² + a-4²).

When W-a = Y (the sample average), we have:

a-1 × Y-1 + a-2 × Y-2 + a-3 × Y-3 + a-4 × Y-4 = Y.

Since Y is the sample average,

Y = (Y-1 + Y-2 + Y-3 + Y-4)/4.

Equating the two expressions, we get:

a-1 × Y-1 + a-2 × Y-2 + a-3 × Y-3 + a-4 × Y-4 = (Y-1 + Y-2 + Y-3 + Y-4)/4.

To find a set of weights a-i where the restriction in part (a) is satisfied but W-a ≠ Y,  choose different values for the a-i's. For example:

a-1 = 1/2, a-2 = 1/2, a-3 = 0, a-4 = 0.

W-a will not be equal to Y. However, the restriction a-1 + a-2 + a-3 + a-4 = 1 is still satisfied. To find Var(W-a), we substitute these values into the formula from part (b):

Var(W-a) = σ² × (a-1²+ a-2² + a-3² + a-4²) = σ² × (1/2)² + (1/2)² + 0 + 0 = σ²/2.

Var(Y) = Var((Y-1 + Y-2 + Y-3 + Y-4)/4) = σ²/4.

Comparing Var(W-a) and Var(Y), we see that Var(W-a) = 2 × Var(Y).

The property mentioned, 4(a-1 + a-2 + a-3 + a-4)² ≤ a-1² + a-2²+ a-3² + a-4², ensures that Var(W-a) ≥ Var(Y) holds for any values of a-i that satisfy the restriction in part (a). By substituting the restriction into the left-hand side of the property and multiplying both sides by σ², we obtain:

Var(W-a) = σ² ×(a-1² + a-2² + a-3² + a-4²) ≥ σ² × 4(a-1 + a-2 + a-3 + a-4)² = 4σ².

Since Var(Y) = σ²/n, where n is the sample size, we have Var(Y) ≤ σ².

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The total number of different telephone numbers are possible in city  is 6561.

A term permutation relates to a mathematical process that determines the number of possible arrangements of a given set.

Now, according to the question;

Because the first three digits are fixed, we must select the next four digits.

A total number of available telephone numbers is increased by selecting one of nine numbers for the fourth digit;

nine numbers for the fifth digit;

nine numbers for the sixth digit;

and nine numbers for the seventh digit.

Thus,

= 9×9×9×9

= 6561

Therefore, the total number of ways in which telephone numbers are possible in city are 6561.

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The correct graph of the system of equations is D) The graph shows a line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 1. There is a second line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 12.

What is the system of equations?

A system of equations is a set of two or more equations with the same variables. The goal of a system of equations is to find the values of the variables that simultaneously satisfy all the equations in the system.

The given equations are

3x + y = 12

x + 4y = 4

To graph the system of equations, we can start by finding the x-intercepts and y-intercepts of each line.

The x-intercept is the point where the line crosses the x-axis, which means that the y-value is 0. To find the x-intercept, we can set y = 0 and solve for x:

3x + y = 12

3x + 0 = 12

3x = 12

x = 4

So, the x-intercept of the first line is (4, 0).

Next, we can find the y-intercept, which is the point where the line crosses the y-axis, meaning that the x-value is 0. To find the y-intercept, we can set x = 0 and solve for y:

3x + y = 12

0 + y = 12

y = 12

So, the y-intercept of the first line is (0, 12).

We can repeat this process for the second line to find its x-intercept and y-intercept:

x + 4y = 4

x + 4 * 0 = 4

x = 4

So, the x-intercept of the second line is (4, 0).

Next, we can find the y-intercept by setting x = 0:

x + 4y = 4

0 + 4y = 4

4y = 4

y = 1

So, the y-intercept of the second line is (0, 1).

Now that we have found the x-intercepts and y-intercepts of each line, we can plot these points on a coordinate plane and draw lines through them to obtain the graph of the system of equations.

The graph shows a line with an x-intercept at (4, 0) and a y-intercept at (0, 12). There is a second line with an x-intercept at (4, 0) and a y-intercept at (0, 1).

Therefore, the correct graph of the system of equations is D) The graph shows a line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 1. There is a second line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 12.

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Answer:

5 out of 7.

Step-by-step explanation:

There are seven days in one week. They are asking what is the probability of the person chosen not being born in a Tuesday or Wednesday. There are five other days, so there are five other options.

I hope I helped you!

angle BAC is 91 degrees. use the fact that the sum of the angles in a triangle is 180 degrees.

what is  angles  ?

Angles are geometric figures that are formed by the intersection of two lines or rays at a common endpoint. The common endpoint is called the vertex of the angle, and the two lines or rays are called the sides or legs of the angle. Angles are measured in degrees, with a full rotation being 360 degrees.

In the given question,

In quadrilateral ABCD, the diagonals AC and BD intersect at point E. We are given that angle ABE is 71 degrees, angle EAD is 27 degrees, and angle EBC is 45 degrees. We need to find angle BAC.

To find angle BAC, we can use the fact that the sum of the angles in a triangle is 180 degrees. Triangle ABE and triangle EBC share the angle E, so we can use the sum of angles in a triangle to find angle AEB:

angle AEB = 180 - angle ABE - angle EBC

= 180 - 71 - 45

= 64 degrees

Similarly, we can use the sum of angles in triangle AED to find angle ADE:

angle ADE = 180 - angle EAD - angle AEB

= 180 - 27 - 64

= 89 degrees

Now, we can use the fact that angles BAE and DCE are vertical angles (opposite angles formed by the intersection of two lines) to find angle BAC:

angle BAC = angle BAE

= angle DCE

= 180 - angle ADE

= 180 - 89

= 91 degrees

Therefore, angle BAC is 91 degrees.

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Answer:

20

Step-by-step explanatio: because its adding 2 more spaces to the left

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Answer:

The Answer would be 49.

Step-by-step explanation:

Answer:

C. Irrational numbers.

Step-by-step explanation:

87 is a whole number , an integer and a counting number

100th digit of the pi is 7

Pi (represented by the Greek letter π) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter. It is approximately equal to 3.14159,

The decimal representation of pi (π) is an infinite non-repeating sequence of digits, so there is no simple formula or algorithm to determine the value of its digits. However, you can use a computer program or online tool to calculate the digits of pi to a certain number of decimal places.

Assuming you are looking for the 100th decimal digit of pi, it is 7. This means that if you write out the first 100 digits of pi, the 100th digit is 7.

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It's equation in point-slope from is -1/6x+5/2.

An equation is a formula that is express the equality of two equation.

Based on the given condition the formula

M= -1/6

Substitute {m -1/6

                        { X= 9

                        {Y = 1

(Into y= mx+b)

1=-1/6×9+b

Reduce the expression into the Lowest term

1=-1/2×3+b

Write as a single fraction

1=-3/2+b

Rearrange variables to the left side of the equation.

-b= -3/2-1

Now we have to find the denominator and write the numerators above common denominator

-b=-3-2/2

Calculate the sum or difference

-b=-5/2

b=5/2

Substitute {m=-1/6 b=5/2 into y mx+b

Y=-1/6x+5/2

Rewrite the equation of the line

Y= -1/6x+5/2 in point-slope

Y-1 = -x-9/6

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Answer: 390

Step-by-step explanation:

32 ÷ 6 = 5 1/3

2080 ÷ 5 1/3 = 390

The problem involves selecting 5 flowers at random from a set of 8 flowers, which includes three roses, two tulips, and three daisies. The task is to calculate the probability of having exactly two roses

To find the probability, we need to determine the total number of possible bouquets and the number of bouquets that contain exactly two roses.

The total number of possible bouquets can be calculated using combinations, denoted as "nCr." In this case, we want to select 5 flowers from a set of 8, so the number of possible bouquets is given by 8C5.

The number of bouquets with exactly two roses can be calculated by selecting 2 roses from the 3 available roses and then selecting the remaining 3 flowers from the remaining 5 non-rose flowers. This can be calculated as 3C2 * 5C3.

The probability of having exactly two roses in the bouquet is then given by the number of bouquets with exactly two roses divided by the total number of possible bouquets: (3C2 * 5C3) / 8C5.

By evaluating this expression, we can obtain the probability.

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Its molecules' monatomic fraction is 0.444.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a correct fraction is smaller than the denominator.

The fact that

The formula gamma monatomic

Determines the specific heat ratio of monoatomic gas.

5/3=1.67

Calculates the specific heat ratio of a diatomic gas.

Gamma monatomic =7/5=1.4

We have a monoatomic and diatomic gas mixer with a gamma mixer specific heat ratio of 1.52.

Calculating the monoatomic gas fraction is as follows:

Let's assume that "x" is the percentage of monoatomic

1.67* x+1.4* (1-x)=1.52

1.67* x+1.4-1.4* x=1.52

0.27* x=0.12

x = 0.12/0.27

x= 0.444

Its molecules' monatomic fraction is 0.444.

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Answer:

The Answer is -11 cause its just -11

Answer:

2

Step-by-step explanation:2

Answer:

10. 3.75 cm

Step-by-step explanation:

10. (5x-5)/56=(3x-5)/32

                 x=1.75

AC=5x-5

    =5*1.75-5

    =3.75 cm

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Yes, it is possible to find a limit at a location where there is a hole in a graph , such as where a point has been removed or where a graph abruptly stops.

This is because the limit of a function is defined as the value that the function approaches as x approaches a given value. In the case of a hole in the graph, the limit is found by looking at the limit from the left, the limit from the right, and the general limit.

The limit from the left is the limit of the function as x approaches the hole from the left. The limit from the right is the limit of the function as x approaches the hole from the right. The general limit is the overall limit of the function at the point where the hole appears. By considering all of these limits, it is possible to determine the overall limit of the function at the point where the hole is present.

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