How can you find f(3) if f(x) = -2x^2 – 4?

Answer:

45

Step-by-step explanation:

Answer:

comedy = 2

drama = 4

reality = 1

Step-by-step explanation:

comedy  = 30min

denote as "c"

drama = 60min

denote as "d"

reality = 60min

denote as "r"

write in English

(30min of c) + (60 min of d) + (60min of r) totals to 360 min

translate to mathematics

(30c) + (60d) + (60r) = 360

we also know that there is a total of seven episodes

so we can say

c + d + r = 7

and we also know that there are twice as many episodes of drama as there is of comedy so it can be said that

d = 2c

now there is a system of equations

30c + 60d + 60r = 360

c +d + r = 7

d = 2c

all we know have to do is simplify and solve

substitute in the second equation, into the first

c + d + r = 7

d = 2c

c + 2c + r = 7

simplify

3c + r = 7

r = 7 - 3c

substitute this into the first equation

d = 2c

r  = 7 -3c

30c + 60d + 60r = 360

30c + 60(2c) + 60(7 - 3c) = 360

distribute

30c + 120c + 420 - 180c = 360

simplify

-30c + 420 = 360

      -420       -420

-30c = -60

c = 2

substitute back into the other equations and solve

d = 2c

d = 2 *2

d = 4

r = 7 - 3c

r = 7 - 3 * 2

r = 7 -6

r = 1

Answer:

4/3 pie r^3

Step-by-step explanation:

Answer:

The formula to find the volume (V) of a sphere with radius (r) is:

V = (4/3)πr^3

In this formula, π (pi) is a mathematical constant approximately equal to 3.14159. To find the volume of a sphere, you need to cube the radius of the sphere (multiply it by itself three times), multiply the result by 4/3, and then multiply that by π. This formula works for spheres of any size, as long as you know the radius.

Hope it help!

Present value of Loan payment 1 = [tex]$1000 / (1 + (0.12/365))^{60[/tex]

Present value of Loan payment 2 = [tex]$1200 / (1 + (0.12/365))^{(-30)[/tex]

The single payment required 90 days from now to pay off the two obligations would be the total present value calculated in Step 3.

To calculate the single payment required to pay off the two obligations with a 12% interest rate, we can use the concept of present value. Present value is the current worth of a future payment, taking into account the interest rate and time.

Let's break down the given information:

Loan payment 1: $1000 due 60 days ago

Loan payment 2: $1200 due in 30 days

To find the single payment required 90 days from now, we need to calculate the present value of each payment and then add them together.

Step 1: Calculate the present value of Loan payment 1.

The time period for Loan payment 1 is 60 days ago.

To bring it to the present, we need to calculate the interest accrued for 60 days at a 12% annual interest rate.

Step 2: Calculate the present value of Loan payment 2.

The time period for Loan payment 2 is 30 days in the future.

To bring it to the present, we need to calculate the interest accrued for 30 days at a 12% annual interest rate.

Step 3: Add the present values of Loan payment 1 and Loan payment 2.

Total present value = Present value of Loan payment 1 + Present value of Loan payment 2

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The rate at which the volume of the snowball is decreasing when the radius is 16 cm is approximately 204.8π cm^3/min.

To find the rate at which the volume of the snowball is decreasing, we need to use the derivative of the volume with respect to time. Let's denote the volume of the snowball as V(t) and the radius as r(t).

The formula for the volume of a sphere is V = (4/3)πr^3. We can differentiate this formula with respect to time t using the chain rule:

dV/dt = dV/dr * dr/dt.

The derivative of the volume with respect to radius, dV/dr, is given by:

dV/dr = (4/3)π * 3[tex]r^2[/tex] = 4π[tex]r^2.[/tex]

The given information tells us that the radius is decreasing at a rate of dr/dt = -0.2 cm/min.

Now we can substitute the values into the equation:

dV/dt = 4π[tex]r^2[/tex] * dr/dt

= 4π[tex](16)^2[/tex] * (-0.2)

= -204.8π cm^3/min.

Since we are asked for the rate of decrease in volume, the answer is a positive number. Thus, the rate at which the volume of the snowball is decreasing when the radius is 16 cm is approximately 204.8π cm^3/min.

Note: π is an irrational number approximately equal to 3.14159, so the final answer can be approximated as 643.06 cm^3/min.

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Answer:

All real numbers

Step-by-step explanation:

The graph of this is equation is a straight line, increasing forward and backwards in both x and y. The range is all real numbers.

Sorry for last time.

Hope this helps you.

Have a nice day.

Answer:

I would do 24÷42 =x

solve for x

x=1/75 so we simplify and we get 5

so each back will have 5

Answer:

[tex]3x = 1 \\ x = \frac{1}{3} [/tex]

Answer:y= x + 7 +10

Step-by-step explanation:

Answer:

its y = x-5 -10

Step-by-step explanation:

b on edge 2020

Answer:

9

Step-by-step explanation:

4*9-11= 36 -11 = 25

Answer:

f(5) = 9

Step-by-step explanation:

f(x) = 4x - 11

f(5) = 4(5) - 11

      = 20 - 11

      = 9  

Answer:

x= -4

Step-by-step explanation:

-8 -x= x -4x

Simplify:

[tex] - 8 - x = - 3x[/tex]

Bring all x terms to 1 side by adding x on both sides:

[tex] - 8 = - 3x + x[/tex]

Simplify:

[tex] - 8 = - 2x \\ - 2x = 8[/tex]

Divide both sides by -2:

[tex]x = \frac{8}{ - 2} \\ x = - 4[/tex]

the rate of change of the volume of the cylinder at the instant is -100π cubic meters per hour.

Given that the radius of a cylinder is increasing at a rate of 1 meter per hour, and the height of the cylinder is decreasing at a rate of 4 meters per hour and the base radius is 5 meters and the height is 8 meters, we need to find the rate of change of the volume of the cylinder at the instant.

Let's start with the formula for the volume of a cylinder;

V = πr²h

Differentiating with respect to time t on both sides,

we get

dV/dt = d/dt (πr²h)

By applying the product rule of differentiation, we get

dV/dt = π × d/dt (r²h) + h × d/dt (πr²)

Differentiating again, we get

dV/dt = π (2rh.dr/dt + r²dh/dt) + 2πrh.dh/dt

Now, substitute the given values and evaluate the derivative at the given instant.

r = 5 meters, dr/dt = 1 meter per hourh = 8 meters, dh/dt = -4 meters per hour

We have,

dV/dt = π (2rh.dr/dt + r²dh/dt) + 2πrh.dh/dt= π [2(5)(8)(1) + (5)²(-4)] + 2π(5)(8)(-4)= π [-20] - 80π= -100π cubic meters per hour

Therefore, the rate of change of the volume of the cylinder at the instant is -100π cubic meters per hour.

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The correct answer for detecting nonrandomness in errors is E. control charts. Control charts are a statistical tool used to monitor processes and detect deviations from randomness or expected behavior. They are commonly used in quality control and process improvement to identify any systematic or nonrandom patterns in the data.

Control charts help visualize data over time and compare it to predetermined control limits. If the data falls within these limits and shows a random pattern, it suggests that the process is stable and operating within acceptable limits of variation. However, if the data exhibits nonrandom patterns, such as trends, cycles, or unusual points, it indicates the presence of special causes or systematic errors in the process. By analyzing the control chart, individuals can identify the sources of nonrandomness, investigate the underlying causes, and take corrective actions to improve the process and reduce errors. Therefore, control charts provide an effective method to detect nonrandomness and ensure the quality and consistency of processes.

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The mean commuting time for the particular train, assuming a uniform distribution between 20 and 50 minutes, is 35 minutes. This means that, on average, commuters can expect their commuting time to be around 35 minutes.

To calculate the mean commuting time, we need to find the average value of the uniformly distributed commuting time between 20 and 50 minutes.

In a uniform distribution, the probability density function (PDF) is constant within the range of the distribution. Since the distribution is uniform between 20 and 50 minutes, the PDF is constant over that interval.

The mean of a uniform distribution can be calculated using the formula:

Mean = (a + b) / 2

where 'a' is the lower limit of the distribution (20 minutes) and 'b' is the upper limit (50 minutes).

Plugging in the values into the formula, we get:

Mean = (20 + 50) / 2 = 70 / 2 = 35 minutes

The calculation is straightforward because in a uniform distribution, the mean is simply the average of the minimum and maximum values of the distribution.

In this case, the commuting time is equally likely to be any value between 20 and 50 minutes. So, on average, commuters can expect a mean commuting time of 35 minutes.

It is important to note that the mean represents the average value and may not necessarily reflect the most frequently occurring commuting time. In this case, there is an equal likelihood of any time within the given range.

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Answer:

1. True

2. False

3. True

Step-by-step explanation:

1. True: The sampling distribution of the means is a probability distribution that includes all possible sample means of a given sample size selected from a population. It provides information about the distribution of sample means.

2. False: The statement is incorrect. The approximation of the sampling distribution of the sample means to a normal distribution is a result of the Central Limit Theorem, which states that under certain conditions, the distribution of sample means tends to be approximately normal, regardless of the population distribution.

3. True: The mean of all possible sample means, often referred to as the expected value of the sampling distribution, is indeed equal to the population mean. This is another consequence of the Central Limit Theorem, which guarantees that the average of all possible sample means will be equal to the population mean.

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Step-by-step explanation:

Let x be the cost of t-shirts

and

y be the cost of hats

Then,

7x + 5y = £32 ..... (i)

And

3x + 4y = £23 ..... (ii)

Now,

Solving (i) and (ii) by Elimination method, we get -

[ 7x + 5y = £32 ] × 4

[ 3x + 4y = £23 ] × 5

= 28x + 20y = £128

15x + 20y = £115

- - -

_________________

13x = £13

x = £13/13

Now, substituting the value of x on equation (i)

= 7(£1) + 5y = £32

= £7 + 5y = £32

= 5y = £32 - £7

= 5y = £25

y = £25/5

Hence,

The cost of t-shirt is £1

and

the cost of hats is £5.

Given:

A line passes through the points (-6, 8) and (-16, 33).

To find:

The slope of the line.

Solution:

If a line passes through two points, then the slope of the line is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The line passes through the points (-6, 8) and (-16, 33). Using the above formula, the slope of the line is

[tex]m=\dfrac{33-8}{-16-(-6)}[/tex]

[tex]m=\dfrac{25}{-16+6}[/tex]

[tex]m=\dfrac{25}{-10}[/tex]

[tex]m=-2.5[/tex]

Therefore, the slope of the line is -2.5.

Slope of the line passing through the points ( -6,8)  and (-16,33) will be -2.5.

Given information:

The line passes through the points ( -6,8)  and (-16,33).

It is required to find the slope of the line.

Slope of the line passing from two points  [tex](x_1,y_1) \; and\; (x_2, y_2)[/tex] can be written as

[tex]m= \dfrac{y_2-y_1}{x_2- x_1}[/tex]

So, the slope of the given line can be calculated as,

[tex]m= \dfrac{33-8}{-16- (-6)}\\m = \dfrac{25 }{-10} \\m = -2.5[/tex]

Therefore the slope of given line will be -2.5.

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Answer:

( x − 1 ) ( x + 4 )

Step-by-step explanation:

Answer:

[tex]\huge\boxed{(x+4)(x-1)}[/tex]

Step-by-step explanation:

[tex]\sf x^2 + 3x-4 \\\\Using \ mid \ term \ break \ formula\\\\x^2 + 4x-x -4\\\\x(x+4)-1(x+4)\\\\Using \ (x+4) \ common\\\\(x+4)(x-1)\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

The answer is:

54<2n

.skskskak

Answer:

The height of the candle after 7 hours is 21.3 centimeters.

Step-by-step explanation:

From the information given you can assign the following values:

x1=10; y1=21

x2=28; y2=19.2

First, you have to find the slope using the following formula:

m=[tex]\frac{y2-y1}{x2-x1}[/tex]

m=[tex]\frac{19.2-21}{28-10}[/tex]

m=-0.1

Then, you can find the equation using the point/slope formula:

y-y1=m(x-x1)

y-21=-0.1(x-10)

y-21=-0.1x+1

y=-0.1x+22

Finally, to find the answer you need to replace the value of x that would be 7 in y=-0.1x+22:

y=-0.1(7)+22

y=-0.7+22

y=21.3

According to this, the height of the candle after 7 hours is 21.3 centimeters.

Answer:

8/3 or 5 1/3

Step-by-step explanation:

here's a visual tutorial I don't feel like writing, sorry

8.1.  the matrix A can be written as:

     A = [ 1 0 1 0 ]

           [ 0 1 0 1 ]

           [ 1 0 1 0 ]

           [ 0 1 0 1 ]

8.2. The basis for the nullspace consists of two vectors, and the matrix has a rank of 2 and a nullity of 2.

8.3. For a 17x17 checkerboard matrix, the rank is 17 and the nullity is 0.

For an n x n checkerboard matrix, the pattern of 1s and 0s alternates along rows and columns, creating a checkerboard-like pattern.

In the case of a 4x4 checkerboard matrix, the matrix A can be written as:

A = [ 1 0 1 0 ]

     [ 0 1 0 1 ]

     [ 1 0 1 0 ]

     [ 0 1 0 1 ]

To find the basis for the nullspace of A, we need to solve the homogeneous equation Ax = 0, where x is a column vector of unknowns. By row-reducing A, we can find that the reduced row-echelon form of A is:

[ 1 0 1 0 ]

[ 0 1 0 1 ]

[ 0 0 0 0 ]

[ 0 0 0 0 ]

From the reduced form, we can see that the columns corresponding to the pivot variables (the first two columns) form a basis for the nullspace. Therefore, the basis for the nullspace of A is:

[tex][ 1 0 0 0 ]^T[/tex]

[tex][ 0 1 0 0 ]^T[/tex]

The nullity of A, denoted as nullity(A), is the dimension of the nullspace. In this case, nullity(A) = 2.

The rank of A, denoted as rank(A), is the number of linearly independent columns in A. Since the first two columns are linearly independent, the rank(A) = 2.

For a checkerboard matrix of size 17x17, we can observe that the pattern will continue to alternate along rows and columns. Therefore, the rank of the 17x17 checkerboard matrix will be 17 (since all columns will be linearly independent), and the nullity will be 0 (since there will be no non-zero solutions to Ax = 0).

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Answer:

-2.964

Step-by-step explanation:

Answer:

x=65

Step-by-step explanation:

When angles are across from eachother like that their values are the same.

so you set them equal to eachother.

120 = 2x - 10

130 = 2x add 10 to both sides

130/2 = 2x/ 2 divide both sides by 2

65 = x

Answer:

Considering that you are trying to find 'x' it is best to make an equation!

Step-by-step explanation:

To find 'x' you must first make an equation!

Since both are the same lengths, you can put these two equal to each other!

(2x - 10)° = 120°

Then solve like normal!

2x - 10° = 120°

    +10° = +10°

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

2x = 130°

(Then divide both sides by 2)

2x/2 = 130/2

x = 65°

The points on the given curve where the tangent line is horizontal or vertical are (0,1), (π,1), (π/2,0) and (3π/2,0).

The given curve is: r=1-sinθ

Differentiating with respect to θ, we get:

dr/dθ = -cosθ

Now, the slope of the tangent to the curve is given by tangent θ = dr/dθ.

The tangent is vertical if the slope is undefined. That is, the curve has a vertical tangent if

cosθ = 0, or θ = π/2 and θ = 3π/2.

The tangent is horizontal if the slope is 0.

That is, the curve has a horizontal tangent if cosθ = ±1 or θ = 0 and θ = π.

Hence, the required points where the tangent line is horizontal or vertical are (0,1), (π,1), (π/2,0) and (3π/2,0).

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There is a moderately strong positive correlation between the company's sales and industry sales.

The statistical results from the regression analysis indicate that there is a multiple R value of 0.802. This value represents the correlation coefficient, which measures the strength and direction of the relationship between two variables. In this case, the correlation coefficient suggests a moderately strong positive correlation between the company's sales and industry sales. Additionally, the R-squared value is 0.643, which indicates that approximately 64.3% of the variability in the company's sales can be explained by the variability in industry sales. This suggests that industry sales have a significant influence on the company's sales performance. Furthermore, the adjusted R-squared value is 0.618, which takes into account the number of variables and observations in the regression analysis. It provides a more accurate measure of the model's goodness of fit. Finally, the standard error SYX is 0.9224, which represents the average distance between the actual company sales data and the predicted values based on the regression model. A lower standard error indicates a better fit of the model to the data. Overall, based on the given statistics, it can be concluded that there is a moderately strong positive correlation between the company's sales and industry sales, and industry sales significantly influence the company's sales performance.

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Answer:

no they will never have the same amount of money because Adele will always have forty more dollars in the account

Step-by-step explanation:

130 > 90  HOPE THIS HELPS. GOOD LUCK

Based on the passage you provided, it seems like you are being asked to apply principles of logic and construct a truth table based on the premises and conclusion presented in the passage. To accomplish this, you need to follow the three steps outlined:

Step 1: Break the premises into several statements (usually denoted by p, q, r, etc.)

From the passage, we can identify the following statements:

- Statement 1: Water is fundamental for life and the environment.

- Statement 2: Water crisis is one of the most important challenges of the 21st century.

- Statement 3: Ensuring that we use water more wisely, more productively, and less profligately will be one of the defining challenges of this century.

- Statement 4: If all public services collaborate to address the water scarcity problem, then the governments will be able to provide a planning framework to manage water usage and boost awareness of the water crisis.

- Statement 5: There is a lack of planning frameworks or there are not enough campaigns to raise awareness of the water crisis.

- Statement 6: Therefore, there is no efficient collaboration among various public sectors to address the water shortage problem.

Step 2: Express the premises and conclusion symbolically.

Using the statements identified above, we can symbolically represent them as follows:

- p: Water is fundamental for life and the environment.

- q: Water crisis is one of the most important challenges of the 21st century.

- r: Ensuring that we use water more wisely, more productively, and less profligately will be one of the defining challenges of this century.

- s: All public services collaborate to address the water scarcity problem.

- t: Governments will be able to provide a planning framework to manage water usage and boost awareness of the water crisis.

- u: There is a lack of planning frameworks or there are not enough campaigns to raise awareness of the water crisis.

- v: There is no efficient collaboration among various public sectors to address the water shortage problem.

Step 3: Construct a truth table.

To construct a truth table, assign truth values (T or F) to each statement and evaluate the truth value of the conclusion based on the truth values of the premises

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