The parent function f(x) = x3 and its translation, g(x), are shown on the graph.
Which represents g(x), the translated function? g(x)=(c-5)^3+3

1) isolate

2a) opposite

2b) sign

1) delete

2a) flip

2b) reciprocal

isolate

opposite

sign

Delete

flip

Reciprocal

Sylvia and Patrick gathered information on the weight of cars and the mileage they get, and then proceeded to plot the data on a graph.

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The height of the drop can be increased by stacking tables, and we can then observe the effect on the pennies' trajectory.

To increase the height from which the pennies are dropped, we can stack two tables. To do this, first, place one of the tables on a level surface. Then, move the other table so that it is parallel to the first table, and place it on top. Make sure that the two tables are securely stacked and do not wobble. Then, use a ruler to measure the height of the two tables combined. This will give us the new height from which the pennies will be dropped. After that, drop the pennies from the new height and observe their trajectory. We can then compare the trajectory of the pennies when dropped from the increased height with the trajectory when dropped from the original height. This will allow us to determine the effect of the increased height on the pennies' trajectory.

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Answer:

uh show more work i guess

Step-by-step explanation:

srry if this did not answer ur question

Answer:

54 units

Step-by-step explanation:

        We can graph the vertices given to make this easier to solve.

-> See attached.

-> This will help us in finding the lengths of the sides.

-> We can also use mathematics.

8 + 5 = 13 and 8 + 6 = 14

        Next we will find the perimeter.

-> This can be found with either of these formulas:

[] P = 2L + 2W

[] P = W + W + L + L

P = 2L + 2W

P = 2(14) + 2(13)

P = 54

The perimeter of the county is 54 units

Answer:

x  = 4

Step-by-step explanation:

hope this helps :)

Answer:

x = 4

Step-by-step explanation:

Distribute 8x + 4 = 27 + 6x - 15

Combine your constants  

8x + 4 = 12 + 6x

Combine like terms by using inverse operations.

2x + 4 = 12

2x = 8

Isolate your variable by using inverse operation

x = 4

The data described in the first statement, "The movie ratings of a critic with possible ratings being 0 stars, one-half star, 1 star, and so on," is discrete data.

Discrete data consists of distinct, separate values or categories that have gaps between them. In this case, the possible movie ratings are specifically defined as 0 stars, one-half star, 1 star, and so on. Each rating is a distinct category with no intermediate values or measurements. The ratings are not continuous and cannot take on any value within a range.

In contrast, continuous data represents measurements or values that can take on any value within a range or interval. For example, if the movie ratings were described as a continuous scale from 0 to 5 stars, where any fractional value within that range is possible, it would be considered continuous data.

Since the movie ratings in the given statement are defined as specific categories without any intermediate values, they are classified as discrete data.

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Answer:

The derivative of of f(x) = 10 is 0

The derivative of a function is the measure of the rate of change of the function. They are fundamental to the solution of problems in calculus and differential equations.

Here the function is not changing as 10 is a constant. So, if f(x) = c where c is a constant then f'(x) = 0 as the derivative of a constant is always zero.

Mathematically:

           d(f(x))/dx = \(\lim_{h \to 0}\) (f(x+h) - f(x))/h

There  is no x to substitute for x + h so no difference is noticed:

             \(\lim_{h \to 0}\) (f(x+h) - f(x))/h =   \(\lim_{h \to 0}\) (10 - 10)/h = 0

Hence, the derivative of f(x) = 10 is 0

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Answer:

d

Step-by-step explanation:

it's d because chicken has 7 letters and than +d which is 8 (the test might be hard )

The 4 is the number the student thought about.

To solve this problem, we will use algebraic expressions. First, let us define the unknown number, x. The problem states that "4 times my number increased by 30 equals 70 decreased by the number." This can be translated into the following equation:

4x + 30 = 70 - x

To solve for x, we need to isolate it on one side of the equation. Let's start by moving all the terms with x to the left side and all the constant terms to the right side.

4x + x = 70 - 30x + 4x + x = 40

Simplifying, we get:

10x = 40

Dividing both sides by 10:

x = 4

Therefore, the number that the student thought of is 4.

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Answer:

-8

Step-by-step explanation:

with the way the table is it makes sense

Answer:

D,xy=-12

Step-by-step explanation:

y=x²+x-2

x+y=1

or x+x²+x-2=1

x²+2x-3=0

x²+3x-x-3=0

x(x+3)-1(x+3)=0

(x+3)(x-1)=0

either x=-3

or x=1

when x=-3

x+y=1

-3+y=1

y=1+3=4

one solution is (-3,4)

xy=-3×4=-12

if x=1

1+y=1

y=0

second solution is (1,0)

xy=1×0=0

(a) Expected number of repairs per year is 0.33 (b) Standard deviation of number of repairs per year is 0.749, (c) The mean and standard deviation of annual expense are $136.55 and $26.217 respectively.

Standard deviation is a measure in statistics which measures the amount of deviation a set of data has with respect to their mean.

(a) Expected number of repairs for the freezer per year is the sum of the product of number of repairs to their probability.

E(Repairs) = (0 × 0.80) + (1 × 0.11) + (2 × 0.05) + (3 × 0.04)

                 = 0.33

(b) Standard deviation of number of repairs per year can be calculated as,

SD(Repairs) = \(\sqrt{[(0 - 0.33)^{2}(0.8)]+[(1-0.33)^{2}(0.11)] + [(2-0.33)^{2}(0.05)]+[(3-0.33)^{2}(0.04)] }\)

= √ (0.5611)

= 0.749

(c) Mean of the restaurant's annual expense with service contract is,

Mean = Expected cost = $125 + ($35 × 0.33) = $136.55

Standard deviation of the restaurant's annual expense with service contract is,

SD = \(\sqrt{35^{2}(0.5611) }\) = 35 × 0.759 = 26.217

Hence the expected number of repairs is 0.33, standard deviation of number of repairs is 0.749, mean and standard deviation of annual expense is $136.55 and $26.217 respectively.

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Answer: 6 times 10 less than a number

Step-by-step explanation:

      This question is asking us to give a written description for the expression given.

6(n - 10)​

6 times 10 less than a number

If the value exceeds\($0.200$\) by the tolerance of \($0.020$\) on either side, a repair cost of \($\$150$\)is incurred.

\($L(x) = 150(x - T)$\) option b.

The Taguchi loss function measures the cost or loss associated with deviations from a target value in a quality characteristic.

In this case, the specification for the quality characteristic is \($0.200 \pm 0.020$\).

If the value exceeds \($0.200$\) by the tolerance of \($0.020$\)on either side, a repair cost of $\$150$ is incurred.

Based on this information, the Taguchi loss function for this example is given by:

b.\($L(x) = 150(x - T)$\)

In the given options, option b represents the correct Taguchi loss function. The loss function is a linear function where the loss increases linearly with the deviation from the target value.

The coefficient of \($150$\) represents the cost of repair per unit deviation.

This loss function is appropriate for the given scenario as it accurately captures the cost associated with deviations from the target value.

The Taguchi loss function provides a quantitative measure to assess the impact of variations in the quality characteristic and helps in making decisions regarding process improvement and optimization.

In this case, it allows for evaluating the cost implications of exceeding the specified tolerance and guides decision-making on whether repairs are necessary based on the associated costs.

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Answer:

Rotation of 90° (x, y) → ( ‐ y,  x )

Rotation of 180° (x, y) → ( ‐ x,  ‐ y )

Rotation of 270° (x, y) → ( y,  ‐ x )

idk 360...

Answer:

The answer is "2653".

Step-by-step explanation:

\(Sample \ Size = 99\% \ Cl\\\\ E =60 \\\\\sigma= 1200\\\\\)

Minimum sample size for Cl level \(= 99\%\) and Desired Margin of Error, \(E = 60\) is:  

\(\to P(|\bar{x}-\mu| < E) \geq 1-\alpha \\\\\to P(\frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n}}} <- \frac{E}{\frac{\sigma}{\sqrt{n}}}) \leq \frac{\alpha}{2} \\\\\to - \frac{E}{\frac{\sigma}{\sqrt{n}}} \leq -z_{\frac{\alpha}{2}} \\\\\to n\geq (\frac{ z_{\frac{\alpha}{2} \times \alpha} }{E})^2 \\\\\)

\(Margin \ Error = \frac{\text{length of the CI}}{2}\\\\\sigma=1200\\\\\alpha=1 - Confidence =1-0.99=0.01\\\\Z_{\frac{\alpha}{2}}=z_{0.005}=2.58\\\\n\geq (\frac{z_{0.005} \times \sigma }{E})^2 \\\\= (\frac{2.58 \times 1200 }{60})^2\\\\=2662.560\\\)

The minimum n has to be integer, we take the ceiling Of above number and get n = 2663

The exact z-value.

\(n \geq (\frac{2.5758293035489 \times 1200}{60})^2 \\\\= 2653.95864\)

using critical value of 2,575, which gives 2652.25  

\(\to n =2653\)

Answer:

Angle L= 53 degrees. Side ML = 4.521 and Side NL= 7.513

Step-by-step explanation:

2 + 6x ≤ 32

6x ≤ 30

x ≤ 5

C and F are your answers

The total amount of water in the tank at time t=7 is approximately 232.696 liters.

To find the total amount of water in the tank at time t=7, follow these steps:

1. Calculate the amount of water pumped into the tank by integrating the function W(t) from 0 to 7: ∫(6(1.05)^t) dt from 0 to 7.
2. Calculate the amount of water drained from the tank by integrating the function P(t) from 0 to 7: ∫(-4(1.21)^t +16) dt from 0 to 7.
3. Add the initial amount of water (200 liters) to the difference between the amounts of water pumped in and drained out.

Using a calculator, the total amount of water pumped in is approximately 64.672 liters, and the total amount of water drained out is approximately 32.976 liters. Therefore, the total amount of water in the tank at t=7 is 200 + (64.672 - 32.976) ≈ 232.696 liters.

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Answer:

x = 26

Step-by-step explanation:

Given

\(\frac{1}{3}\) (x - 2) = \(\frac{1}{5}\) (x + 4) + 2

Multiply through by 15 to clear the fractions

5(x - 2) =3(x + 4) + 30 ← distribute and simplify both sides

5x - 10 = 3x + 12 + 30, that is

5x - 10 = 3x + 42 ( subtract 3x from both sides )

2x - 10 = 42 ( add 10 to both sides )

2x = 52 ( divide both sides by 2 )

x = 26

Answer:

(1, 6) (2, 12) (3, 24) (4, 48)

If you have to continue to graph, multiply your y value by 2 and just add 1 to your x value. Hope this helps.

The slope Using the formula will be h = -100t + 4000

This is a linear function because for every 5 seconds that pass, the height of the plane drops 500 feet, or -500 to be exact. So that's the slope of the line.

If we look at the table we can determine where the graph goes through the h axis. The h axis is the y axis, and the t axis is the x axis. So where the graph goes through the h axis is also the y-intercept.

If your teacher is any good at all, he/she would make sure that you understand beyond a shadow of a doubt that the y-intercept exists where x = 0. Looking at the table, where x (t) is 0, y (h) is 4000 feet.

Writing the linear equation then is super easy. In the form y = mx + b, we already know both the slope (-100) and the y-intercept (4000), so we fill in accordingly:

h = -100t + 4000 which appears to be choice a.

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The probability (in percentage) that a score will fall between a -3z and +2 z scores is 97.59%.

Assuming a standard normal distribution, the probability that a score falls between -3z and +2z can be calculated as the difference between the cumulative probabilities of +2z and -3z.

Using a standard normal distribution table or calculator, we find that the cumulative probability of +2z is approximately 0.9772, and the cumulative probability of -3z is approximately 0.0013.

Therefore, the probability that a score falls between -3z and +2z is:

0.9772 - 0.0013 = 0.9759

Converting to a percentage, we get:

0.9759 x 100% ≈ 97.59%

So the probability that a score falls between -3z and +2z is approximately 97.59%.

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The radius of the circle is 5 units.

To find the radius of the circle in the xy-plane with a center at (1, 5) and containing the point (4, 9), we can use the distance formula. The distance between two points (x1, y1) and (x2, y2) is given by:

d = √((x2 - x1)^2 + (y2 - y1)^2)

In this case, we have the center at (1, 5) and the point on the circle at (4, 9). Plugging these values into the distance formula, we get:

d = √((4 - 1)^2 + (9 - 5)^2)

= √(3^2 + 4^2)

= √(9 + 16)

= √25

= 5

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Answer:

After 6 days, there will be approximately 691.6 files.

Step-by-step explanation:

We can use the given information to solve for the constants a and b in the exponential growth equation. First, we can rearrange the equation to solve for b:

y(t) = aebt

ln(y(t)) = ln(aebt)

ln(y(t)) = ln(a) + ln(ebt)

ln(y(t)) = ln(a) + bt

Now, we can use the information given in the problem to solve for b. After 2 days, there are 200 files, so we can use the following equation to solve for b:

ln(200) = ln(a) + 2b

After 4 days, there are 400 files, so we can use the following equation to solve for b:

ln(400) = ln(a) + 4b

We can solve this system of equations using elimination method. Subtracting the first equation from the second equation gives:

ln(400) - ln(200) = 4b - 2b

ln(2) = 2b

b = ln(2)/2

Now that we have found the value of b, we can plug it back into one of the original equations to solve for a. Let's use the equation for 2 days:

ln(200) = ln(a) + 2b

ln(200) = ln(a) + 2(ln(2)/2)

ln(200) = ln(a) + ln(2)

ln(200) - ln(2) = ln(a)

ln(100) = ln(a)

a = 100

So now we have the values of a and b, and we can use them to find the number of files after 6 days:

y(6) = 100e(ln(2)/2)(6)

y(6) = 100e(3ln(2))

y(6) = 100e(3 * 0.693)

y(6) = 100e2.079

y(6) = 691.6

Therefore, after 6 days, there will be approximately 691.6 files.

There are 691.6 flies after 6 days.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 9 is an equation.

We have,

y(1) = a\(e^{bt}\)

Now,

200 = a\(e^{2b}\)

Taking logs on both sides.

log 200 = log a + 2b log e

log 200 = log a + 2b _____(1)

Now,

400 = a\(e^{4b}\)

Taking logs on both sides.

log 400 = log a + 4b log e

log 400 = log a + 4b ______(2)

From (1) and (2) we get,

log 400 - log 200 = log a + 4b - log a  - 2b

log (400/200) = 4b - 2b

log 2 = 2b

b = log 2 / 2 _____(3)

Now,

Putting (3) in (1) we get,

log 200 = log a + 2 x log 2 / 2

log 200 = log a + log2

200 = 2a

a = 100

Now,

y(t) = 100 \(e^{(log2/2)t\)

Now,

t = 6

y(60) = 100 \(e^{log2/2 \times6}\)

y(60) = 100 \(e^{3log2}\)

y(60) = 100 \(e^{3\times0.69}\)

y(60) = 100 \(e^{2.079}\)

y(6) = 691.6

Thus,

There are 691.6 flies.

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Answer:

Its position is labeled as -5

Step-by-step explanation:

For elevator 1.

Its position after moving 10 ft up is;

p1 = r + 10

r = reference position.

given that p1 = +10

+10 = r + 10

r = 10 - 10 = 0

The reference position (ground floor) is zero

Since the Elevator 2 moves downward from the reference position (ground floor), it moves in the negative direction.

Its position can be written as;

p2 = r - 5 = 0 - 5 (since r = 0)

p2 = -5

Its position is labeled as -5

The weighted average of a data set is 36.

Here,

Given data set;

20 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.

We have to find the weighted average of a data set.

What is Weighted Average?

Weighted average is a calculation that takes into account the varying degrees of importance of the numbers in a data set.

Now,

Given data set;

20 has a weight of 3, 40 has a weight of 5, and 50 has a weight of 2.

The weighted average is given by the formula;

\(x = \frac{f_{1} x_{1} + f_{2} x_{2}+ f_{3} x_{3}+ ...... f_{n} x_{n}}{f_{1} +f_{2} + f_{2}}\)

Hence,

The weighted average of a data set;

x = 20 x 3 + 40 x 5 + 50 x 2 / 3+5+2

x = 360/10 = 36

Hence, The weighted average of a data set is 36.

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Answer:

64

Step-by-step explanation:

this should be easy cause the 64 is bigger, so the parts are smaller. 192 divided by 64 is 3. 192 divided by 12 is 16. multiply, Yada yada… you get 64 is better!