HELP ME PLS
1. If the diameter of a circle is segment AB where Point A is located at (-3, 6), and Point B located at (-8,-1), what is the diameter of the circle?

2√2
√146
√74
74

If the Woodward Corporation would like to donate 20 computers and 30 printers to local schools. the greatest number of schools that The Woodward Corporation can donate to is: 10 schools.

We need to first of all find the common factors

20 = 1 × 20 = 2 ×10 = 2× 5 ×2

30 = 1 × 30 = 3 × 10

Common factors are 1 and 10.

Highest common factor is 10.

20 / 10 = 2

30 / 10 = 3

Each school will receive 2 computers and 3 printers.

The total number of schools  that will receive them is 10 schools  which is the  highest number of schools that will receive the same set of both computers and printers.

Therefore the  greatest number of schools is 10.

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The statistics are as follows:

- Test Statistic: The calculated test statistic is approximately 1.02.

- P-value: The P-value associated with the test statistic of 1.02 is approximately 0.154.

- Confidence Interval: The 95% confidence interval for the difference in proportions is approximately -0.0186 to 0.0786.

To solve the problem completely, let's go through each step in detail:

1. Test Statistic:

The test statistic can be calculated using the formula:

z = (p1 - p2) / √[(p_cap1 * (1 - p-cap1) / n1) + (p_cap2 * (1 - p_cap2) / n2)]

We have:

p1 = 0.55 (proportion in the first poll)

p2 = 0.53 (proportion in the second poll)

n1 = 630 (sample size of the first poll)

n2 = 1010 (sample size of the second poll)

Substituting these values into the formula, we get:

z = (0.55 - 0.53) / √[(0.55 * (1 - 0.55) / 630) + (0.53 * (1 - 0.53) / 1010)]

z = 0.02 / √[(0.55 * 0.45 / 630) + (0.53 * 0.47 / 1010)]

z ≈ 0.02 / √(0.0001386 + 0.0002493)

z ≈ 0.02 / √0.0003879

z ≈ 0.02 / 0.0197

z ≈ 1.02 (rounded to two decimal places)

Therefore, the test statistic is approximately 1.02.

2. P-value:

To find the P-value, we need to determine the probability of observing a test statistic as extreme as 1.02 or more extreme under the null hypothesis. We can consult a standard normal distribution table or use statistical software.

The P-value associated with a test statistic of 1.02 is approximately 0.154, which means there is a 15.4% chance of observing a difference in proportions as extreme as 1.02 or greater under the null hypothesis.

3. Confidence Interval:

To estimate the difference in proportions with a 95% confidence interval, we can use the formula:

(p1 - p2) ± z * √[(p_cap1 * (1 - p_cap1) / n1) + (p_cap2 * (1 - p_cap2) / n2)]

We have:

p1 = 0.55 (proportion in the first poll)

p2 = 0.53 (proportion in the second poll)

n1 = 630 (sample size of the first poll)

n2 = 1010 (sample size of the second poll)

z = 1.96 (for a 95% confidence interval)

Substituting these values into the formula, we get:

(0.55 - 0.53) ± 1.96 * √[(0.55 * (1 - 0.55) / 630) + (0.53 * (1 - 0.53) / 1010)]

0.02 ± 1.96 * √[(0.55 * 0.45 / 630) + (0.53 * 0.47 / 1010)]

0.02 ± 1.96 * √(0.0001386 + 0.0002493)

0.02 ± 1.96 * √0.0003879

0.02 ± 1.96 * 0.0197

0.02 ± 0.0386

The 95% confidence interval for the difference in proportions is approximately (0.02 - 0.0386) to (0.02 + 0.0386), which simplifies to (-0.0186 to 0.0786).

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Answer:

15

Step-by-step explanation:

she will need 15 pizzas because there is 30 students in her class and each will have 1/2 meaning there is 1 whole pizza per two students and 30 divided by 2 is 15

Moon Software Inc. must issue approximately 3,927 OID bonds to raise $3,000,000.

The par bonds have a coupon rate of 10% and a par value of $1,000. To raise $3,000,000, Moon Software Inc. needs to issue 3,000 par bonds since $3,000,000 divided by $1,000 equals 3,000.

The OID bonds have a semiannual coupon rate of 7.75% and a par value of $1,000. Since these bonds need to provide investors with the same effective yield as the par bonds, they must be offered at a discount. To calculate the number of OID bonds required, we need to determine the discount needed to match the effective yield of the par bonds.

The effective yield of the par bonds is 10%. The OID bonds have a coupon rate of 7.75%, so the discount needed to match the effective yield is 10% - 7.75% = 2.25%.

To raise $3,000,000 with OID bonds, we divide the amount by the discount rate: $3,000,000 / 2.25% = $133,333,333.33.

Since each OID bond has a par value of $1,000, we divide the total amount by $1,000: $133,333,333.33 / $1,000 = approximately 133,333.33 bonds.

Since we need a whole number of bonds, we round up to the nearest whole number, which gives us 133,334 bonds.

Therefore, Moon Software Inc. must issue approximately 133,334 OID bonds to raise $3,000,000.

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Answer:

0,9

Step-by-step explanation:

Answer:

y=9

Step-by-step explanation:

In this equation you would add 9 to get the y on a side by itself that would get you 3y=27, then you would divide both sides by 3 and end up with your y-intercept to be 9.

It seems there is an error in the given vector field F⃗ = 3(x+z)i⃗ + 2j⃗ + 3zk⃗ as it does not have a component along the y-axis. Please double-check the vector field or provide the correct vector field to proceed with the calculation.

To compute the flux of the vector field F⃗ = 3(x+z)i⃗ + 2j⃗ + 3zk⃗ through the surface S given by y=x^2+z^2, with 0≤y≤16, x≥0, z≥0, oriented toward the xz-plane, we can use the surface integral.

The surface integral of a vector field F⃗ over a surface S is given by the formula:

∬S F⃗ · dS = ∬S F⃗ · (n⃗ dS)

where F⃗ is the vector field, dS is the differential area vector, and n⃗ is the unit normal vector to the surface.

In this case, the surface S is given by y=x^2+z^2, with 0≤y≤16, x≥0, z≥0. We can parameterize this surface as:

r(x, z) = xi⃗ + yj⃗ + zk⃗ = xi⃗ + (x^2+z^2)j⃗ + zk⃗

To find the normal vector n⃗ to the surface, we can take the cross product of the partial derivatives of r(x, z) with respect to x and z:

n⃗ = ∂r/∂x × ∂r/∂z

= (1i⃗ + 2xj⃗) × (0i⃗ + 2zj⃗)

= -2xz i⃗ + 2zj⃗ + 2xk⃗

Now, we can calculate the flux:

∬S F⃗ · (n⃗ dS) = ∬S (3(x+z)i⃗ + 2j⃗ + 3zk⃗) · (-2xz i⃗ + 2zj⃗ + 2xk⃗) dS

= ∬S (-6x^2z - 4xz + 6xz^2 + 6xz) dS

= ∬S (-6x^2z + 2xz + 6xz^2) dS

To evaluate this integral, we need to determine the limits of integration for x, y, and z.

Since the surface is defined by 0≤y≤16, x≥0, z≥0, we have:

0 ≤ y = x^2 + z^2 ≤ 16

Simplifying the inequality, we get:

0 ≤ x^2 + z^2 ≤ 16

From this, we can see that x and z both range from 0 to 4.

Now, we can evaluate the flux:

∬S (-6x^2z + 2xz + 6xz^2) dS = ∫∫ (-6x^2z + 2xz + 6xz^2) dA

where dA is the differential area.

Integrating over the limits 0 ≤ x ≤ 4 and 0 ≤ z ≤ 4, we can calculate the flux.

However, it seems there is an error in the given vector field F⃗ = 3(x+z)i⃗ + 2j⃗ + 3zk⃗ as it does not have a component along the y-axis. Please double-check the vector field or provide the correct vector field to proceed with the calculation.

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Add 5 to 2 = 2 will make 7 = 7 a true statement and adding 5 to 2 ≠ 3 to make 7 ≠ 8 will make a true statement.

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

(1)

As per the given,

2 = 2

Add 5 on both sides of the above equation,

2 + 5 = 2 + 5

7 = 7 (True)

(2)

As per the given

2 ≠ 3

Add 5 on both sides of the above equation,

2 + 5 ≠ 3 + 5

7 ≠ 8 (True)

Hence "It is correct that if you add 5 to 2 = 2, you will get 7 = 7, and if you add 5 to 2 ≠ 3, you will get 7 ≠ 8".

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Answer:

10/14

Step-by-step explanation:

See 3 +5+4+2= 14 , if the question would be what's the probability of getting yellow the answer would be 4/14 but it's not, so 14 - 4 which will be 10 so 10 / 14 .

The other way is get the sum of all the marbles except the yellow one, then that no. will be upon the total.

Answer: \(\frac{2}{7}\)or 0.2857142857

Step-by-step explanation:

P(not yellow)=\(\frac{4}{14}\)

P(not yellow)=\(\frac{2}{7}\) or 0.2857142857

Answer:

-3x - 6 = -9    (The third answer)

Step-by-step explanation:

When solving for x, you have to undo each operation. When solving -3x - 6 = -9, you have to undo the -6 first. To do this, add 6 to both sides. Then, you must undo the -3x. To do this, divide by -3 from both sides.

Answer:

4 times

Step-by-step explanation:

1 quart is equivalent to 32 fluid ounces.

If each eruption consumes 8 fluid ounces of vinegar. Assuming that the amount of vinegar required per eruption is constant, the number of times Tanvi can make her volcano erupt is:

\(n=\frac{32}{8}\\n=4\ times\)

Tanvi can make her volcano erupt 4 times  with 1 quart of vinegar.

Answer:

Step-by-step explanation:

The events that are mutually exclusive are randomly selecting a number that is less than 0 and greater than -2

and randomly selecting a number that is less than 5 and greater than -5.

The group of whole numbers and negative numbers is known as an integer in mathematics. Integers, like whole numbers, do not include the fractional portion. Integers can therefore be defined as numbers that can be positive, negative, or zero but not as fractions. On integers, we can carry out all arithmetic processes, including addition, subtraction, multiplication, and division. Integer instances include 1, 2, 5, 8, -9, -12, etc. "Z" stands for a number. Let's now go over the definition of integers, their symbol, types, operations, rules, and properties, as well as how to represent them on a number line with numerous worked-out instances.

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Answer:

All of them would be under $65

Answer:

D

Step-by-step explanation:

Answer:

31.33 degrees

Step-by-step explanation:

The question is asking to find angle x.  You can use sine to find out x because sine is opposite/hypotenuse but since you are finding an angle measurement, it would be to the power of -1.  So:

sine^-1=13/25

31.33

Answer:

\(\\\sf7x^3 - 2x^2 - 5\)

Step-by-step explanation:

\(\\\sf(6x^3 + 3x^2 - 2) + (x^3 - 5x^2 - 3)\)

Remove parenthesis.

6x^3 + 3x^2 - 2 + x^3 - 5x^2 - 3

Rearrange:

6x^3 + x^3 + 3x^2 - 5x^2 - 2 - 3

Combine like terms to get:

----------------------------------------

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Answer:

7x³ - 2x² - 5

Step-by-step explanation:

(6x³ + 3x² - 2) + (x³ - 5x² - 3)

Remove the round brackets.

= 6x³ + 3x² - 2 + x³ - 5x² - 3

Put like terms together.

= 6x³ + x³ + 3x² - 5x² - 2 - 3

Do the operations.

= 7x³ - 2x² - 5

____________

hope this helps!

six hundred and ninety eight

If there were originally 300 houses in Fulton County and 398 more were added, then here is the equation to work it out:

300 + 398 = 698

There are 698 houses currently in Fulton County.

I hope this helps. Please mark me as Brainliest. Thanks!

Part a: The equation of the tangent line is: y - 5 = -15(x - 0)

Part b:The second derivative is a constant value, -15. Since the second derivative is negative, it means the function is concave down at (0, 5).

Part c:The particular solution is y = -10cos(x² + 3x + π) + 15(x² + 3x + π) - 5 - 15π

Part A: To find the equation of the line tangent to the solution curve at the point (0, 5), to follow these steps:

Step 1: Find the derivative of the given differential equation.

Given differential equation: dy/dx = 5(2x + 3)sin(x² + 3x + π)

Differentiate both sides with respect to x:

dy/dx = d/dx (5(2x + 3)sin(x²+ 3x + π))

dy/dx = 5 × (2(sin(x² + 3x + π)) + (2x + 3)cos(x² + 3x + π))

Step 2: Evaluate the derivative at the point (0, 5).

To find the slope of the tangent line at (0, 5), substitute x = 0 into the derivative:

dy/dx = 5 × (2(sin(π)) + (2×0 + 3)cos(π))

dy/dx = 5 × (2(0) + 3(-1)) = -15

Step 3: Use the point-slope form of the equation to write the equation of the tangent line.

The point-slope form of the equation is: y - y1 = m(x - x1), where m is the slope and (x1, y1) is the point (0, 5).

Simplifying, we get: y = -15x + 5

Part B: To find the second derivative at (0, 5) and determine the concavity of the solution curve at that point, follow these steps:

Step 1: Find the second derivative of the given differential equation.

Given differential equation: dy/dx = 5(2x + 3)sin(x² + 3x + π)

Differentiate the previous result for dy/dx with respect to x to get the second derivative:

d²y/dx² = d/dx (-15x + 5)

d²y/dx² = -15

Step 2: Determine the concavity.

Part C: To find the particular solution y = f(x) with the initial condition f(0) = 5,  to integrate the given differential equation:

dy/dx = 5(2x + 3)sin(x² + 3x + π)

Step 1: Integrate the equation with respect to x:

∫dy = ∫5(2x + 3)sin(x² + 3x + π) dx

y = ∫(10x + 15)sin(x² + 3x + π) dx

Step 2: Use u-substitution:

Let u = x² + 3x + π, then du = (2x + 3) dx

Now the integral becomes:

y = ∫(10x + 15)sin(u) du

Step 3: Integrate with respect to u:

y = -10cos(u) + 15u + C

Step 4: Substitute back for u:

y = -10cos(x² + 3x + π) + 15(x² + 3x + π) + C

Step 5: Apply the initial condition f(0) = 5:

Substitute x = 0 and y = 5 into the equation:

5 = -10cos(π) + 15(0² + 3(0) + π) + C

5 = 10 + 15π + C

Simplifying,

C = 5 - 10 - 15π

C = -5 - 15π

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Answer:

I think 2 points

Step-by-step explanation:

I may be wrong bc I suck at algebra. literally who is gonna use algebra ever?

Answer: two points hope it helps

The equation for a line of symmetry passing through the points (-8,5) and (2,5) is y = 5.

To determine the equation for the line of symmetry, we need to find the line that divides the given points into two equal halves. In this case, both points have the same y-coordinate, which means they lie on a horizontal line. The equation of a horizontal line is given by y = c, where c is the y-coordinate of any point lying on the line. Since both points have a y-coordinate of 5, the equation for the line of symmetry is y = 5.

A line of symmetry divides a figure into two congruent halves, mirroring each other across the line. In this case, the line of symmetry is a horizontal line passing through y = 5. Any point on this line will have a y-coordinate of 5, while the x-coordinate can vary. Therefore, all points (x, 5) lie on the line of symmetry. The line of symmetry in this case is not a slant line or a vertical line but a horizontal line at y = 5, indicating that any reflection across this line will result in the same y-coordinate for the corresponding point on the other side.

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The standardized regression weight "b'" of 0.35 shows the largest positive value among the options given.

In regression analysis, standardized regression weights (also known as beta coefficients or standardized coefficients) represent the magnitude and direction of the relationship between a predictor variable and the outcome variable, while taking into account the scales and variances of the variables involved.

Among the options provided, the standardized regression weight of 0.35 is the largest positive value. This indicates that for a one-unit increase in the corresponding predictor variable, the outcome variable is expected to increase by 0.35 standard deviations.

The other options, b* = -0.30, b = -0.38, and b' = 0.15, either have negative values or smaller positive values compared to 0.35. Negative values indicate a negative relationship between the predictor variable and the outcome variable, while smaller positive values indicate weaker or smaller relationships.

Therefore, the largest positive standardized regression weight among the options given is b' = 0.35, suggesting a relatively stronger positive relationship between the predictor variable and the outcome variable.

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Answer:

Step-by-step explanation:

volume = length x width x height

            = 5 x 5 x 10

            = 250 cm³

Answer:

250cm

Step-by-step explanation:

I got it right on EdG.

The function which correctly shows the cost of 8 gallons of gas is C(8) = 22 so option (D) is correct.

The function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

A certain kind of relationship called a function binds inputs to essentially one output.

Assuming a function y = f(x).

The value of the function at x = a is given as y(a).

As per the given function C(x) where  C is the cost while x is the number of gallons.

The cost of 8 gallons of gas $22 will be represented as,

C(8) = 22

Hence "The function which correctly shows the cost of 8 gallons of gas is C(8) = 22".

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Option 2 allows Ms. Carlton to pay the smallest amount of interest, with a total interest of $548.00 compared to $920.00 for Option 1.

To determine which repayment option allows Ms. Carlton to pay the smallest amount of interest, we need to calculate the total amount of interest paid for each option.

For Option 1, the total amount paid over the 3-year period is:

Total payment = Monthly payment x Number of payments

Total payment = $95.00 x 36

Total payment = $3,420.00

Since Ms. Carlton borrowed $2,500, the total interest paid is:

Total interest = Total payment - Amount borrowed

Total interest = $3,420.00 - $2,500.00

Total interest = $920.00

For Option 2, the total amount paid over the 2-year period is:

Total payment = Monthly payment x Number of payments

Total payment = $127.00 x 24

Total payment = $3,048.00

Since Ms. Carlton borrowed $2,500, the total interest paid is:

Total interest = Total payment - Amount borrowed

Total interest = $3,048.00 - $2,500.00

Total interest = $548.00

Therefore, Option 2 allows Ms. Carlton to pay the smallest amount of interest, with a total interest of $548.00 compared to $920.00 for Option 1.

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Answer:

f(2) = 24

Step-by-step explanation:

to evaluate f(2) substitute x = 2 into f(x) , that is

f(2) = 15(2) - 6 = 30 - 6 = 24

The Radical Form (√x)  ,the solutions to the equation √x - 2 + 4 = x are x = 1 and x = 4.

The equation √x - 2 + 4 = x for x, we can follow these steps:

1. Begin by isolating the radical term (√x) on one side of the equation. Move the constant term (-2) and the linear term (+4) to the other side of the equation:

  √x = x - 4 + 2

2. Simplify the expression on the right side of the equation:

  √x = x - 2

3. Square both sides of the equation to eliminate the square root:

  (√x)^2 = (x - 2)^2

4. Simplify the equation further:

  x = (x - 2)^2

5. Expand the right side of the equation using the square of a binomial:

  x = (x - 2)(x - 2)

  x = x^2 - 2x - 2x + 4

  x = x^2 - 4x + 4

6. Move all terms to one side of the equation to set it equal to zero:

  x^2 - 4x + 4 - x = 0

  x^2 - 5x + 4 = 0

7. Factor the quadratic equation:

  (x - 1)(x - 4) = 0

8. Apply the zero product property and set each factor equal to zero:

  x - 1 = 0   or   x - 4 = 0

9. Solve for x in each equation:

  x = 1   or   x = 4

Therefore, the solutions to the equation √x - 2 + 4 = x are x = 1 and x = 4.

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Let the price of ticket be "p"

and attendance be "A"

First, given,

When p = 16, A = 950

Then, given,

When p = 5, A = 1550

We can model these two pairs of points as coordinates,

We have to come up with the equation in the form A = mp + b, where

m is the slope and b is the y-intecept of the line.

We can use the following formula to find the equation of the line:

Let's substitute the points and find the linear equation in the form A = mp + b.

The 2x5+18 = 18 is not correct, as the 2x does not apply to the +8 part (the whole equation). The equation Maria has given actually means they bought 2 drinks, but only 1 popcorn. The actual equation must be 2(5+8) = 26.

There are 150 students in the girls athletics program

Answer: a+51=90, a+51+90=180, 39

Step-by-step explanation:

a+51=90 works because the angles add to form a right angle.

a+51=180 does not work because the angles add to form a right angle, not a straight angle.

a+51+90=180 works because all those angles add to form a straight angle.

a+90=180 does not work because the unknown in this situation refers to a+51, not just a.

Solving the equation, we get a=39, so 39 is also an answer.