what is the standard quadratic form if the vertex is (4,7) and in case yo need it another value is (6,19). I REALLY NEED THIS PLEASE!!!
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Answer:

he length of the rope is approximately equal to 10.99 feet

Answer:

I'm not 100% sure but I think if you graph them all

where they intersect is the solution

Answer:

The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.

Step-by-step explanation:

The midpoint of the midsegment of Trapezoid is   E(2m, 2n) and F (2(q+p), 2n).

According to the question,

The vertices of the trapezoid are A(4m , 4n) , B(4q , 4n) , C(4p , 0) and D(0,0).

Let mid-point of midsegment of Trapezoid be E and F

Using section formula

E (x- coordinate)= 1*4m + 0 /2

E (x- coordinate)=2m

E (Y- coordinate)= 4n/2

E  (Y- coordinate)=2n

So, the coordinates of E (2m, 2n)

similarly,

F (x- coordinate)= (1*4q + 1*4p)/2

F (x- coordinate)=2(p + q)

F (Y- coordinate)= 4n/2

F(Y- coordinate)=2n

So, the coordinates of F (2(q +p), 2n)

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Answer:

answer = 1/11

Step-by-step explanation:

The addition rule of probability.

P (T + C) = P(T) + P(C) - P(T ∩ C)

The probability that both these people also used a car given that both of them use a train is 1/11.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The number of people who used the train and the car.

P (T U C) = 21 - 7 = 14

P(T) = Probability of the number of people who used the train = 12

P(C) = Probability of the number of people who used the car = 6

From the addition rule of probability.

P (T + C) = P(T) + P(C) - P(T ∩ C)

14 = 12 + 6 - P(T ∩ C)

P(T ∩ C) = 12 + 6 - 14 = 18 - 14 = 4

Now,

Two people are chosen.

P(C/T):

= P(T ∩ C) / P(T)

= \(^4C_2\) / \(^{12}C_2\)

= (4 x 3 / 2) / (12 x 11 / 2)

= 6 / 6 x 11

= 1/11

Thus,

The probability that both these people also used a car given that both of them use a train is 1/11.

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Answer:

4000

Step-by-step explanation:

A=P(2)^(t/d)

A=future amount

P=starting amount

t=time elapsed

h=doubling time

given

P=10^3

t=6

d=2

A=10^3(2)^(6/2)

A=10^3(2)^2

A=10^3(4)

A=4*10^3

A=4000

4000 bacteria

Answer:

divident

Step-by-step explanation:

Answer:

the answer is 27 if you have to evaluate

"        "          "  3 cubed if you have to simplify

Step-by-step explanation:

The linear model is the best fit for the relationship.

According to the statement

we have given that the relationship between gross box office sales and home video units significant and the linear model is the best fit for the relationship.

And we explain all the given statements.

So, For this purpose, we know that the

Since the p-value of the independent variable, 0.0000, is less than 0.05, we can be 95% confident that there is a significant linear relationship between gross box office and home video units.

And the

linear model is used in different ways according to the context. The most common occurrence is in connection with regression models.

So, the linear model is appropriate for the comparisons.

So, The linear model is the best fit for the relationship.

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Answer:

now how did you knew people was doing it

Step-by-step explanation:

it C trust

Answer:

The answer is 28 (option D)

Step-by-step explanation:

Im big Brain

The number of students in Spring Lake Elementary School is given by 480.

The total number of students in Spring Lake Elementary School is given by = 600.

The percentage of students in Spring Lake Elementary School were absent on Monday is given by = 20 %.

So, the percentage of students in Spring Lake Elementary School were present on Monday is given by = (100 - 20) % = 80 %.

Thus, the number of students in Spring Lake Elementary School is given by = 80% of 600

= 600*80%

= 600 * (80/100)

= 6 * 80

= 480

Hence the number of students in Spring Lake Elementary School is given by 480.

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Answer:

5 branches

Step-by-step explanation:

Answer:

x = 19 degrees

Step-by-step explanation:

180 - 114 = 66

180 - 66 = 114

Other triangle angle is 114 degrees

114 + 47 = 161

180 - 161 = 19

x = 19 degrees

The unknown value of x and y from the attached picture of a square is 8 and 11 respectively.

A square is a four sided polygon with 4 equal angles and length.

The fourth corner = 90° - 36°

= 54°

Recall,

Alternate angles are equal

So,

(4x + 4)° = 36°

substract 4 from both sides

4x = 36 - 4

4x = 32

divide both sides by 4

x = 32/4

x = 8

(4y + 10)° = 54°

substract 10 from both sides

4y = 54 - 10

4y = 44

divide both sides by 4

y = 44/4

y = 11

In conclusion, the value of the following given equations are:

(4x + 4)° = 36°

4(8) + 4 = 36

32 + 4 = 36

36° = 36°

(4y + 10)° = 54°

4(11) + 10 = 54

44 + 10 = 54

54 ^= 54°

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Answer:

15360m3

Step-by-step explanation:

a=l*w*h

1.6m*80m*120m

=15360m3

We need to construct a 2 x 3 matrix C using only 1, -1, and 0 as entries such that the product of C and A results in the 2-norm of A. After some trial and error, we find a suitable matrix C.

However, when we compute the product of A and C, denoted as AC, we observe that it is not equal to the identity matrix l_3.

The given matrix A is a row vector [1 1 1 3 4 7]. We need to construct a 2 x 3 matrix C such that CA results in the 2-norm of A. By trial and error, we can construct the matrix C as follows:

C = [1 -1 0;

0 0 0]

Now, we compute the product AC:

AC = [1 -1 0; 0 0 0] * [1 1 1 3 4 7]

AC = [1*(-1) + (-1)1 + 01 1*(-1) + (-1)1 + 03 1*(-1) + (-1)1 + 04 1*(-1) + (-1)1 + 07

0*(-1) + 01 + 01 0*(-1) + 01 + 03 0*(-1) + 01 + 04 0*(-1) + 01 + 07]

AC = [-2 -2 -2 -2

0 0 0 0]

We can see that AC is not equal to the 3 x 3 identity matrix l_3.

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The correct option is D. 3x⁴−10x²+2x+C.

The most general antiderivative for the given function ∫(3x³−10x+2)dx is D. 3x⁴−10x²+2x+C.

The given function is ∫(3x³−10x+2)dx

To find the most general antiderivative of the given function, we have to find the antiderivative of each term.∫(3x³−10x+2)dx= ∫(3x³)dx − ∫(10x)dx + ∫(2)dx= 3 ∫(x³)dx − 10 ∫(x)dx + 2 ∫(1)dx

Using the power rule of integration, ∫(xⁿ)dx = (xⁿ⁺¹)/(n⁺¹) , we get

3 ∫(x³)dx − 10 ∫(x)dx + 2 ∫(1)dx= 3 (x⁴/4) - 10(x²/2) + 2x+ C

= 3x⁴/4 - 5x² + 2x + C

= 3x⁴ - 20x²/4 + 8x/4 + C

= 3x⁴ - 5x² + 2x + C

This is the most general antiderivative of the given function.

Therefore, the correct option is D. 3x⁴−10x²+2x+C.

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Answer: .67

Step-by-step explanation:

got it right on acellus

The area of the circle is  113.04 square units.

The area of a circle of radius R is given by:

A = π*R²

Where π = 3.14

Here we know that the center is at (2, 2) and the point (8, 2) is on the circle, then the radius is:

R = √( (2 - 2)² + (8 - 2)²)

R = 6

Then the area of the circle is:

A = 3.14*(6)² = 113.04 square units.

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Answer:

67.84 is the answer.

Step-by-step explanation:

12.8 times 5.3 equals 67.84

#teamtrees #WAP (Water And Plant)

The correct line of code to complete the factorial recursion method is:

int result = x × fact(x-1); this line of code utilizes recursion to calculate the factorial of x.

The if statement checks if the value of x is equal to 1, which represents the base case. If x is indeed 1, the method returns 1, as 1! is equal to 1.

If x is not 1, the line "int result = x × fact(x-1);" is executed. This line multiplies the current value of x with the factorial of (x-1), which is obtained by recursively calling the fact() method with the parameter (x-1). This recursive call continues until the base case is reached (x = 1), and then the factorial values are multiplied together as the recursion unwinds.

Ultimately, the line of code calculates and returns the factorial of x by utilizing recursion and the concept of factorial multiplication.

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Answer:

yes 3 and 12 are both indeed factors of twelve

These are the computed values of beta and p-value for the given alternative value p = 0.21 and sample sizes.

To compute the beta (β) for the given alternative value p = 0.21 and sample sizes n = 81, 900, 14,400, 40,000, and 90,000, we need to determine the probability of Type II error. Beta is the probability of failing to reject the null hypothesis (H₀) when the alternative hypothesis (Hₐ) is true.

To calculate beta, we need to find the corresponding z-value for the given significance level α = 0.01, which corresponds to a z-value of 2.33 (approximate value).

Using the formula for the standard deviation of the sample proportion:

σ = sqrt((p₀ * (1 - p₀)) / n)

where p₀ is the null hypothesis value, p = 0.2, and n is the sample size.

Then we can calculate the z-score for the alternative value p = 0.21 using the formula:

z = (p - p₀) / σ

Finally, we can compute beta using the standard normal distribution table or a statistical calculator.

Let's calculate beta for the given sample sizes:

For n = 81:

σ = sqrt((0.2 * (1 - 0.2)) / 81) ≈ 0.0447

z = (0.21 - 0.2) / 0.0447 ≈ 0.2494

beta = P(Z > 0.2494) ≈ 0.4013

For n = 900:

σ = sqrt((0.2 * (1 - 0.2)) / 900) ≈ 0.0143

z = (0.21 - 0.2) / 0.0143 ≈ 0.7692

beta = P(Z > 0.7692) ≈ 0.2206

For n = 14,400:

σ = sqrt((0.2 * (1 - 0.2)) / 14,400) ≈ 0.0071

z = (0.21 - 0.2) / 0.0071 ≈ 1.5493

beta = P(Z > 1.5493) ≈ 0.0606

For n = 40,000:

σ = sqrt((0.2 * (1 - 0.2)) / 40,000) ≈ 0.0050

z = (0.21 - 0.2) / 0.0050 ≈ 2.2000

beta = P(Z > 2.2000) ≈ 0.0139

For n = 90,000:

σ = sqrt((0.2 * (1 - 0.2)) / 90,000) ≈ 0.0033

z = (0.21 - 0.2) / 0.0033 ≈ 3.0303

beta = P(Z > 3.0303) ≈ 0.0012

Next, let's calculate the p-value for the alternative value P = 0.21 and sample sizes n = 81, 900, 14,400, and 40,000.

The z-score for the given P can be calculated using the formula:

z = (P - p₀) / σ

Using the standard normal distribution table or a statistical calculator, we can find the area under the curve beyond the calculated z-score to obtain the p-value.

For n = 81:

σ = sqrt((0.2 * (1 - 0.2)) / 81) ≈ 0.0447

z = (0.21 - 0.2) / 0.0447 ≈ 0.2494

p-value = P(Z > 0.2494) ≈ 0.4013

For n = 900:

σ = sqrt((0.2 * (1 - 0.2)) / 900) ≈ 0.0143

z = (0.21 - 0.2) / 0.0143 ≈ 0.7692

p-value = P(Z > 0.7692) ≈ 0.2206

For n = 14,400:

σ = sqrt((0.2 * (1 - 0.2)) / 14,400) ≈ 0.0071

z = (0.21 - 0.2) / 0.0071 ≈ 1.5493

p-value = P(Z > 1.5493) ≈ 0.0606

For n = 40,000:

σ = sqrt((0.2 * (1 - 0.2)) / 40,000) ≈ 0.0050

z = (0.21 - 0.2) / 0.0050 ≈ 2.2000

p-value = P(Z > 2.2000) ≈ 0.0139

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The net price of a 2-pole, 100-ampere, 230-volt entrance switch, if the list price is $137 with successive discounts of 35% and 3% is $ 80.72 (rounded to the nearest hundredth).

It is given the list price is $137 with successive discounts of 35% and 3%.To calculate the main answer (net price), let's find the first discount: Discount 1 = 35% of $137= 35/100 x 137= $ 47.95Therefore, the price after the first discount = List price − Discount 1= $ 137 − $ 47.95= $ 89.05Now let's find the second discount: Discount 2 = 3% of $89.05= 3/100 x 89.05= $ 2.67Therefore, the price after the second discount = Price after the first discount − Discount 2= $ 89.05 − $ 2.67= $ 86.38Hence, the net price (main answer) of a 2-pole, 100-ampere, 230-volt entrance switch is $ 80.72 (rounded to the nearest hundredth). Therefore, the main answer is $ 80.72.

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Answer: \(1\dfrac13\) hours

Step-by-step explanation:

Lily's goal to walk =  6 miles

Lily has walked 2 miles.

Let h= number of hours it will take Lily to reach her goal.

She walk 3 miles an hour.

Total miles she can walk in h hour = 3h

According to the question,

\(3h +2 = 6\)   (Required equation)

Subtract 2 from both sides , we get

\(3h = 4\)

Divide both sides by 3 , we get

\(h=\dfrac43=1\dfrac{1}{3}\)

Hence, it will take \(1\dfrac13\) hours to reach her goal.

The equation to find the number of hours it will take Lily to reach her goal is (2 + 3h = 6) and this can be determined by using the given data.

Given :

The following steps can be used in order to determine the equation to find the number of hours it will take Lily to reach her goal:

Step 1 - The linear equation can be formed in order to determine the number of hours it will take Lily to reach her goal.

Step 2 - Let the number of hours be 'h'.

Step 3 - So, the linear equation that represents the given situation is given below:

2 + 3h = 6

Step 4 - Simplify the above equation in order to determine the value of 'h'.

3h = 4

h = 4/3 hours

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Answer: 7,300

Step-by-step explanation:

146 = 2%

73 = 1%

7,300 =100%

(a) The firm is operating in the long run, and its supply function is determined by the profit maximization condition.

(b) The firm's input demand functions can be derived from the profit function, and their degree of homogeneity is 1/2. Changes in input prices will impact the firm's input demand.

(c) The market supply function can be derived by aggregating the supply functions of all 40 firms operating in the market.

(d) Given the market conditions and demand function, the total market supply can be calculated.

(a) The firm is operating in the long run because it has the flexibility to adjust its inputs and make decisions based on market conditions. The firm's supply function is determined by maximizing its profit, which is achieved by setting the marginal cost equal to the market price. In this case, the supply function for each firm can be derived by taking the derivative of the profit function with respect to the price of output (p).

(b) The input demand functions for the firm can be derived by maximizing the profit function with respect to each input price. The degree of homogeneity of the input demand functions can be determined by examining the exponents of the input prices. In this case, the degree of homogeneity is 1/2. Changes in the input prices will affect the firm's input demand as it adjusts its input quantities to maximize profit.

(c) The market supply function can be derived by aggregating the individual supply functions of all firms in the market. Since there are 40 identical firms, the market supply function can be obtained by multiplying the supply function of a single firm by the total number of firms (40).

(d) To determine the total market supply, we substitute the given market conditions and demand function into the market supply function. By solving for the market quantity at a given market price, we can calculate the total market supply.

In conclusion, the firm is operating in the long run, and its supply function is determined by profit maximization. The input demand functions have a degree of homogeneity of 1/2, and changes in input prices impact the firm's input demand. The market supply function is derived by aggregating the individual firm supply functions, and the total market supply can be calculated using the given market conditions and demand function.

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Answer:

16x+6

Step-by-step explanation:

5x+2+3x+1+5x+2+3x+1 =

16x+6

Answer:

16x + 2

Step-by-step explanation:

\(\boxed{\begin{minipage}{4 cm}\underline{Perimeter of a rectangle}\\\\$P=2(w+l)$\\\\where:\\ \phantom{ww}$\bullet$ $w$ is the width. \\\phantom{ww}$\bullet$ $l$ is the length.\\\end{minipage}}\)

Given expressions:

To write an expression for the perimeter of the rectangle, substitute the given expressions for the width and length into the perimeter formula:

\(\begin{aligned}\implies \textsf{Perimeter} &=2\left(5x+2+3x-1 \right)\\ &= 2(5x+3x+2-1)\\&=2(8x+1)\\&=16x+2\end{aligned}\)

The standard deviation measures the spread of data points around the mean. It considers all data points, not just the farthest or nearest ones. A higher standard deviation indicates a greater spread.

The standard deviation is a statistical measure that tells us how much the data points in a set vary from the mean. It provides information about the spread or dispersion of the data. To calculate the standard deviation, we take the square root of the variance, which is the average of the squared differences between each data point and the mean.

By considering all data points, the standard deviation provides a comprehensive measure of how spread out the data is. Therefore, the statement "The difference between the mean and the data point farthest from the mean" is incorrect, as the standard deviation does not focus on just one data point.

The statement "The difference between the mean and the data point nearest to the mean" is also incorrect because the standard deviation takes into account the entire data set. The statement "The difference between the mean and the median" is incorrect as well, as the standard deviation is not specifically related to the median.

Hence, the correct answer is "None of the above."

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Rate = distance / time

Rate = 21 miles / 3 hours

Rate = 7 miles / hour

The answer is choice A. Hope this helps.