Write the Quadratic in VERTEX form that has a vertex at (-3,-1) and passes through the point (0,4).

Answer:

now

Step-by-step explanation:

do you know what is the answer?I thought it was 9/25

Answer:

It is 6.38 units!

Step-by-step explanation:

I took the test and it was correct.

The measure of the side length DE is 6.38 units after applying the tan ratio in the right-angle triangle option (C) 6.38 units is correct.

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

We have a right-angle triangle given:

Triangle DEF contains right angle E. If angle D measures 50° and its opposite side measures 7.6 units,

After drawing the triangle:

Applying the tan ratio in the right-angle triangle:

tan50 = EF/DE

tan50 = 7.6/DE

DE = 7.6/tan50

DE = 6.377 ≈ 6.38 units

Thus, the measure of the side length DE is 6.38 units after applying the tan ratio in the right-angle triangle option (C) 6.38 units is correct.

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a) The number of grades in the array G is 20. b) The grades greater than 70 in the array G: 83, 75, 82, 76, 85, 71, 96, 78, 76, 72, 75, 83, 93. c) Mean is 73.6, median is 75.5, there is no mode and the standard deviation is 17.84. d) Mean better represents the "most typical grade."

10 To determine the number of grades in the array, we can use the length function in most programming languages. In this case, since the array G is given, the number of grades is the length of the array. Therefore, the number of grades in the array G is 20.

2) To find all the grades greater than 70 in the array G, we can iterate through each element of the array and check if it is greater than 70. Here are the grades greater than 70 in the array G: [83, 75, 82, 76, 85, 71, 96, 78, 76, 72, 75, 83, 93].

3) To compute the mean, median, mode, and standard deviation of the grades in array G, we can use various statistical formulas and functions. Here are the calculations:

Mean: The mean is the average of the grades in the array. To calculate it, we sum up all the grades and divide by the total number of grades.

Mean = (68 + 83 + 61 + 70 + 75 + 82 + 57 + 5 + 76 + 85 + 62 + 71 + 96 + 78 + 76 + 68 + 72 + 75 + 83 + 93) / 20 = 73.6

Median: The median is the middle value of the sorted array. First, we need to sort the grades in ascending order: [5, 57, 61, 62, 68, 68, 70, 71, 72, 75, 75, 76, 76, 78, 82, 83, 83, 85, 93, 96]. Since the number of grades is even, we take the average of the two middle values, which are 75 and 76.

Median = (75 + 76) / 2 = 75.5

Mode: The mode is the value(s) that appear most frequently in the array. In the array G, there is no mode because no grade appears more than once.

Standard Deviation: The standard deviation measures the dispersion or spread of the grades. We can use the formula for population standard deviation to calculate it.

Standard Deviation = \(\sqrt{\)((\((68 - 73.6)^2\) + \((83 - 73.6)^2\) + ... + \((93 - 73.6)^2\)) / 20) ≈ 17.84

4) The measure that better represents the "most typical grade" depends on the distribution of the grades. In this case, since there is no mode (no grade appears more than once), we cannot determine a single grade that represents the most typical. However, we can say that the mean and median give us different insights. The mean takes into account all the grades and provides an average value, while the median represents the middle value and is not affected by extreme values. Therefore, if the distribution is symmetric and does not have outliers, the median may be a better representation of the most typical grade. However, if the distribution is skewed or has outliers, the median may be less representative, and the mean could be influenced by those extreme values.

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Answer:

D. 71.61 ft

Step-by-step explanation:

A=pi*r^2

408.3=pi*r^2

solve for r

r=11.4 ft

C=2*pi*r

C=2*pi*11.4=71.61 ft

The formulas for the rigid transformations of the figures are listed below:

Case 1: (x, y) → (x - 10, y + 9)

Case 2: (x, y) → (- y, x)

Case 3: (x, y) → (- x, y)

Case 4: (x, y) → (- y, x)

Case 5: (x, y) → (x, - y)

Case 6: (x, y) → (x, y + 10)

In this question we find six cases of rigid transformations applied on figures. The most common rigid transformations are listed below:

Then, by direct inspection, we derive the following rigid transformations:

Case 1 (Translation)

(x, y) → (x - 10, y + 9)

Case 2 (Rotation)

(x, y) → (x · cos (- 270°) - y · sin (- 270°), x · sin (- 270°) + y · cos (- 270°))

(x, y) → (- y, x)

Case 3 (Reflection about y-axis)

(x, y) → (- x, y)

Case 4 (Rotation)

(x, y) → (x · cos 90° - y · sin 90°, x · sin 90° + y · cos 90°)

(x, y) → (- y, x)

Case 5 (Reflection about x-axis)

(x, y) → (x, - y)

Case 6 (Translation)

(x, y) → (x, y + 10)

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Based on the given options, the statement that best describes the regression cannot be determined without additional information.

The options do not provide any details about the regression coefficients, R-squared value, or p-values, which are necessary to make a meaningful statement about the regression. It is not possible to determine the quality of the predictions or the significance of the regression based solely on the dependent variable and sample size.
Your answer: B) Statistically significant and quite small MPG prediction errors

This option best describes a regression with a strong relationship between the independent variable (e.g., car characteristics) and the dependent variable (highway miles per gallon). The statement suggests that the model is statistically significant, meaning it can reliably predict MPG, and the prediction errors are small, indicating good accuracy in the predictions.

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the four second-order partial derivatives are:

\(f_{xx} = 448x^6y^6 + 84x^5y^5\)

\(f_{yy} = 240x^8y^4 + 40x^7y^3\)

\(f_{xy} = 448x^7y^6 + 70x^6y^4\)

\(f_{yx} = 448x^7y^6 + 70x^6y^4\)

To find the second-order partial derivatives for the given function, we need to differentiate it twice with respect to each variable. Let's start with the first derivative:

f(x, y) = \(8x^8y^6 + 2x^7y^5\)

Taking the partial derivative with respect to x:

∂/∂x (f(x, y)) = ∂/∂x \((8x^8y^6 + 2x^7y^5)\)

               = \(64x^7y^6 + 14x^6y^5\)

Now, let's take the partial derivative of the above result with respect to x:

∂^2/∂x^2 (f(x, y)) = ∂/∂x (\(64x^7y^6 + 14x^6y^5\))

                   =\(448x^6y^6 + 84x^5y^5\)

Taking the partial derivative with respect to y:

∂/∂y (f(x, y)) = ∂/∂y (\(8x^8y^6 + 2x^7y^5\))

               =\(48x^8y^5 + 10x^7y^4\)

Now, let's take the partial derivative of the above result with respect to y:

∂^2/∂y^2 (f(x, y)) = ∂/∂y (\(48x^8y^5 + 10x^7y^4\))

                   = \(240x^8y^4 + 40x^7y^3\)

Now, let's take the partial derivative with respect to x and then y:

∂^2/∂x∂y (f(x, y)) = ∂/∂y (\(64x^7y^6 + 14x^6y^5\))

                   = \(448x^7y^6 + 70x^6y^4\)

Since the order of differentiation doesn't matter in this case, the mixed partial derivatives ∂^2/∂x∂y and ∂^2/∂y∂x are the same.

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Answer:

the slope is 3 and the y is -3

Step-by-step explanation:

3x= 3/1

3/1=rise/run

Answer:

B. 3 - 5.5 + 1.5

Step-by-step explanation:

Because you start at 0 and then move positive 3 on the number line negative 5.5 and then positive 1.5 again.

Hope this helps!

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Answer:

\(t = \frac{ v_{1} - v_{0}}{a} \\\)

Step-by-step explanation:

\(a = \frac{v_{1} - v_{0}}{t} \\ a \times t = v_{1} - v_{0} \\ \frac{at}{a} = \frac{ v_{1} - v_{0} }{a} \\ t = \frac{ v_{1} - v_{0}}{a} \\ \)

Answer:

This statement is true.

In the simplex method, choosing the pivot row involves selecting a row with a negative value in the right-hand column and dividing the elements in the last column by the corresponding elements in the selected row to obtain the ratios. The row with the smallest non-negative ratio is then chosen as the pivot row.

By choosing the pivot row in this way, we ensure that the new solution will still be feasible, meaning that all the constraints will still be satisfied. This is because choosing the smallest non-negative ratio ensures that the new solution will not violate any of the non-negativity constraints.

Therefore, requiring that the ratio associated with the pivot row be the smallest non-negative number is an important step in the simplex method to ensure that the iteration will not take us from a feasible point to a non-feasible point.

Step-by-step explanation:

This statement is true when using the simplex method to solve a linear programming problem.

In the simplex method, we start with a feasible solution and iteratively improve it until we reach an optimal solution. At each iteration, we choose a pivot row and a pivot column to pivot around. The pivot row is chosen based on the ratio of the right-hand side value to the coefficient of the entering variable in that row. This ratio is called the pivot ratio.

Choosing the pivot row with the smallest non-negative pivot ratio ensures that we pivot to a new feasible solution. This is because the pivot row represents a constraint in the linear programming problem, and the pivot ratio represents how much we can increase the value of the entering variable while still satisfying that constraint. If the pivot ratio is negative, it means that increasing the entering variable would violate the corresponding constraint, and so we cannot pivot in that direction.

Therefore, by choosing the pivot row with the smallest non-negative pivot ratio, we ensure that we pivot in a direction that preserves feasibility and does not take us to a non-feasible point.

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Answer:

x=16016. x=2⁴x7x11x13

y=107016. y=2³x3x7³x13

Answer:

Step-by-step explanation:

LOWEST COMMON MULTIPLE

Solution for 80000 is what percent of 800000:

80000:800000*100 =

(80000*100):800000 =

8000000:800000 = 10

Now we have: 80000 is what percent of 800000 = 10

The work required to pump all the water over the edge of the tank is approximately 271,433.64 foot-pounds.

To calculate the work required to pump all the water over the edge of the tank, we need to consider the weight of the water in the tank and the height it is lifted.

First, let's find the volume of the water in the tank. The volume of a cone is given by the formula V = (1/3)πr²h, where r is the radius and h is the height. Plugging in the values, we have:

V = (1/3)π(3²)(12)

= (1/3)π(9)(12)

= 36π

Next, we need to find the weight of the water. The weight of an object is given by the formula W = mg, where m is the mass and g is the acceleration due to gravity. The mass of the water can be found by multiplying its volume by the density of water, which is approximately 62.4 pounds per cubic foot:

m = (36π)(62.4)

≈ 22619.47 pounds

Now, we can calculate the work done by multiplying the weight of the water by the height it is lifted. In this case, the height is 12 feet:

W = (22619.47)(12)

≈ 271433.64 foot-pounds

Therefore, the work required to pump all the water over the edge of the tank is approximately 271,433.64 foot-pounds.

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The work required to pump water out of an inverted conical tank involves calculating the pressure-volume work at infinitesimally small volumes within the tank and integrating this over the entire volume of the tank. This provides an interesting application of integral calculus in Physics.

The question requires the concept of work in Physics applied to a fluid, in this case, water lying within an inverted conical tank. Work is done when force is applied over a distance, as stated by work = force x distance. In the fluid analogy, the 'force' link is the pressure exerted on the water and the distance is the change in volume of the fluid. Therefore, work done (W) = Pressure x Change in Volume (ΔV).

In this scenario, you are required to pump out water from an inverted conical tank, hence, the work you do is against the gravitational force pulling the water downwards. To calculate the total work done, you have to consider the work done at each infinitesimally small (hence, constant pressure) strip of volume and integrate over the entire volume of the tank.

The detail of calculation would require the knowledge of integral calculus and the formula for volume of a cone. I recommend considering this as an interesting application of integrals in Physics. Also remember that the volume of a cone = 1/3πr²h, where 'r' is the radius of base and 'h' is the height of cone.

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Answer:

-6

Step-by-step explanation:

The equation for this line is y=x-3, so the equation turns into

y=-3-3

-3-3=-6

so therefore, y=-6 when x=-3

Answer:

It would be Zero, because x is -3.

So y would be 0.

Step-by-step explanation:

Answer:

y= -4/3x+8

Step-by-step explanation:

y=mx+b is the equation for a line

m=slope

b=y-intercept

First, find the slope

The formula for the slope is: y2-y1/x2-x1

8-0/0-6=

8/-6=4/-3

Plug the slope into the equation

y= -4/3x+b

Now find the y-intercept.

To do this, plug in the x and y of a coordinate and solve for b

I will use (0,8)

8= -4/3(0)+b

8=b

Plug the y-intercept into the equation

y= -4/3x+8

y= -4/3x+8 is your equation

Answer:

Step-by-step explanation:

3×3=9 + 1 = the ten

10×3=30 +1= the 31

31 time three equal 93 plus One equal 94

94 time three equal 282 + 1 = 283

283 × three equal 846 + 1 equal 847

a equal 283.5

b equal 847.5

Answer:180

Step-by-step explanation:

hope this helps

Answer:

0.8 mm

Step-by-step explanation:

Given that you require the actual size.

The ant has been magnified by 15 X

To find the actual size divide magnified size by 15

actual size = 12 mm ÷ 15 = 0.8 mm

For groceries to be delivered, one particular grocery store charges 3% of the whole purchase price. The total price the store charges to deliver $140 worth of groceries will be $144.20.

A % in mathematics is a quantity or ratio that is stated as a fraction of 100 (from the Latin per centum, "by a hundred"). Although abbreviations "pct.", "pct.", and occasionally "pc" are also used, percent symbol, "%," is frequently used to indicate it. A % lacks dimensions and has no associated unit of measurement.

It should be mentioned that a certain grocery store charges a delivery fee equal to 3% of the entire purchase price.

Consequently, the following is the total the store will charge to deliver $140 worth of groceries:

= Percentage charged × Cost+ Cost

= 3% × $140+$140

= 0.03 × $140+$140

= $4.20+$140

The amount charged is $144.20.

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the angles are the same as their pair

the pairs are

1 and 5

2 and 6

4 and 8

3 and 7

The probability that the sample mean would be less than $51.3 when a sample of 40 bags is randomly selected is 55.71%.

To solve this problem, we can use the Central Limit Theorem (CLT), which states that the sample mean of a sufficiently large sample size drawn from any population with a finite mean and variance will be approximately normally distributed.

The first step is to calculate the standard error of the mean (SEM), which is the standard deviation of the sampling distribution of the mean. The SEM can be calculated using the formula:

\(SEM = \frac{\sigma}{\sqrt{n}}\)

where σ is the population standard deviation, and n is the sample size.

Substituting the values, we get:

\(SEM = \frac{66}{\sqrt{40}} = 10.45\)

Next, we need to calculate the z-score corresponding to the sample mean of $51.3:

\(z = \frac{51.3 - 50}{10.45} = 0.1435\)

Using a standard normal distribution table, we find that the area to the left of z = 0.1435 is 0.5571. This means that the probability of obtaining a sample mean of $51.3 or less from a sample of 40 bags is 0.5571 or 55.71%. It is important to note that this result is based on the assumption that the population is normally distributed. Additionally, the CLT only holds for sufficiently large sample sizes (typically n > 30).

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Answer:

2.35

Step-by-step explanation:

Answer:

hello!

The answer is 2.35.

This always helped me. Lets ignore the whole numbers until the very end so we end up with 3/5-1/3.

With adding and subtracting, you have to have the same denominator so what can we multiply to each denominator to make them the same. Usually you want the lowest number so you have less simplifying at the end.

What we can do is 5*3 and 3*5. whatever you multiply the bottom with you have to multiply the top with, so 3*3 and 3*5 for the first one and it would come out as 9/15 and for the second one it would be 1*5 and 3*5 and it would come out as 5/15.

Your equation now is 9/15-5/15. For addition and subtraction you keep the denominator the same so you would only do 9-5=4

So your equation now is 4/15. Now go on to your whole numbers basically you just do 4-2=2

If you add those two solutions together you get 2 4/15

To find the general expression for the elasticity of demand (e_p), we need to differentiate the demand function with respect to price (p) and multiply it by the ratio of price to quantity (p/q). The elasticity of demand measures the responsiveness of quantity demanded to changes in price.

The general expression for elasticity of demand (e_p) can be calculated as:

e_p = (dQ/dp) * (p/Q)

Where dQ/dp represents the derivative of the demand function with respect to price, and Q represents the quantity demanded.

The elasticity of demand helps us understand how sensitive the quantity demanded is to changes in price. If e_p is greater than 1, demand is considered elastic, meaning that quantity demanded is highly responsive to price changes. If e_p is less than 1, demand is inelastic, indicating that quantity demanded is less responsive to price changes.

In conclusion, the general expression for the elasticity of demand (e_p) is calculated by taking the derivative of the demand function with respect to price and multiplying it by the ratio of price to quantity. This measure helps determine the responsiveness of quantity demanded to changes in price.

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Answer:

Area = 16.8 * 7 / 2 = 58.8 ft2

Step-by-step explanation:

Have

18.2^2 = 7^2 + a^2

-> a^2 = 18.2^2 - 7^2

-> a^2 = 282.24

-> a = 16.8

Area = 16.8 * 7 / 2 = 58.8 ft2

Answer: 180 x 3 = 540540/45 = 12The second number is 12.

Step-by-step explanation: Hope this helped !

The solution set {(-4, 2)} is satisfied when C = 3 and D = -4. Hence, the correct answer is option C.

To find the values of C and D that satisfy the given system of equations, we substitute the coordinates of the solution set {(-4, 2)} into the equations and solve for C and D.

Substituting x = -4 and y = 2 into the first equation, we have:

C(-4) - 2(2) = -16

-4C - 4 = -16

-4C = -12

C = 3

Next, substituting x = -4 and y = 2 into the second equation, we have:

2(-4) + D(2) = -16

-8 + 2D = -16

2D = -8

D = -4

Therefore, the values of C and D that satisfy the system of equations and yield the solution set {(-4, 2)} are C = 3 and D = -4. Thus, the correct answer is option c: C = 3, D = -4.

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The probability of getting one blue marble out of the two is; 0.55

The parameters given are;

Number of white marbles = 5

Number of blue marbles = 2

Now, from the results of a marble being drawn twice and replaced 100 times we have;

White, White = 27

White, Blue = 22

Blue, Blue = 18

Blue, White = 33

Thus, probability of getting one blue marble is;

P(White, Blue) + P(Blue, White)

= (22/100) + (33/100)

= 55/100

= 0.55

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Answer:

Story Pole

Step-by-step explanation:

Source : Trust me bro

Answer:

he only needed to pay 84 dollars.

Step-by-step explanation: