Kendell has 12 feet of ribbon and
wants to wrap some presents.
Each gift needs 3 feet of ribbon.
How many presents can she wrap
using the ribbon?

Answer:

$5596.44

Step-by-step explanation:

$4250*(1.035)^8= $5596.44

The point of symmetry on f⁻¹(x) is (4, 6) which is false.

The domain of f(x) is (-∞, 4) which is false.

The graphs of f(x) and f(x) are reflections across the x-axis which is also false.

The range of f⁻¹(x) is (- ∞, ∞) which is true.

Let the function f is given as

y = m(x + a) + c

Then the inverse function of the function f will be given by swapping x with y and y with x.

The function is given below.

f(x) = 5(x - 6)³ + 4

The inverse function of the function f(x) is given as,

x = 5(y - 6)³ + 4

y = ∛[(x - 4) / 5] + 6

f⁻¹(x) = ∛[(x - 4) / 5] + 6

The graph of the function and inverse function is given below.

The point of symmetry on f⁻¹(x) is (4, 6) which is false.

The domain of f(x) is (-∞, 4) which is false.

The graphs of f(x) and f(x) are reflections across the x-axis which is also false.

The range of f⁻¹(x) is (- ∞, ∞) which is true.

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The approximate number of customers (waiting and being served) at the carwash is 3.

To determine the number of customers (waiting and being served) at the carwash, we can use Little's Law, which states that the average number of customers in a system is equal to the average arrival rate multiplied by the average time spent in the system.

In this case, the average arrival rate is 9 customers per hour, and the average waiting time is given as 23 minutes (which is equivalent to 23/60 = 0.3833 hours).

Using Little's Law, we can calculate the average number of customers in the system:

Average number of customers = Average arrival rate * Average time spent in the system

Average number of customers = 9 customers/hour * 0.3833 hours

Average number of customers = 3.4497 customers

Since we can't have fractional customers, we round the value to the nearest whole number.

Therefore, the approximate number of customers (waiting and being served) at the carwash is 3.

It's important to note that this calculation assumes steady-state conditions and that the arrival and service distributions are not known.

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Step-by-step explanation:

Answer: No solution

Desmos Graphing Calculator is a great way to check these things. I'm not a 100% sure on my calculations, but I know Desmos is.

Answer:

4x -12

Step-by-step explanation:

8 - 4(-x + 5)

Distribute

8 -4(-x) -4(5)

8 +4x -20

4x -12

answer 4( - 3 + x)

answer

\(4( - 3 + x)\)

\(8 - 4( - x + 5)\)

answer

\( - 12 + 4x\)

Answer:

C

Step-by-step explanation:

hope this works for you :)

Answer:

5

Step-by-step explanation:

h(x) h(2)

h(x)=x^2-3. h(2)=2^2-3

g(h(2) g(h(2)=5

Answer:

C

Step-by-step explanation:

just simplied them

1. The x-axis represents the sample mean (\(\bar x\)), and the y-axis represents the probability density.

2. The probability represents the area under the standard normal curve to the right of z = 2.197.

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.

a. To depict the sampling distribution of all possible values of the sample mean, we can use a probability distribution graph, specifically a normal distribution graph.

Given that the population mean (µ) is 12 ounces and the population standard deviation (s) is 0.5 ounces, and assuming that the sample size is sufficiently large (n = 30), we can use the Central Limit Theorem to approximate the sampling distribution of the sample mean as a normal distribution.

The mean of the sampling distribution (\(\mu_\bar x\)) will be the same as the population mean, which is 12 ounces.

The standard deviation of the sampling distribution (\(\sigma_\bar x\)) can be calculated using the formula \(\sigma_\bar x\) = s / √n, where s is the population standard deviation and n is the sample size. In this case, \(\sigma_\bar x\) = 0.5 / √30 ≈ 0.091 ounces.

Using these values, we can plot a normal distribution curve with the mean at 12 ounces and the standard deviation of 0.091 ounces. The x-axis represents the sample mean (\(\bar x\)), and the y-axis represents the probability density.

b. To find the probability of selecting a sample of 36 cans with a sample mean greater than 12.2 ounces, we need to calculate the area under the sampling distribution curve to the right of 12.2 ounces.

First, we need to standardize the value of 12.2 ounces using the formula z = (\(\bar x\) - \(\mu_\bar x\)) / \(\sigma_\bar x\), where \(\bar x\) is the given sample mean, \(\mu_\bar x\) is the mean of the sampling distribution, and \(\sigma_\bar x\) is the standard deviation of the sampling distribution.

In this case, \(\bar x\) = 12.2 ounces, \(\mu_\bar x\) = 12 ounces, and \(\sigma_\bar x\) = 0.091 ounces.

z = (12.2 - 12) / 0.091 ≈ 2.197

Now, we can find the probability using the standard normal distribution table or statistical software. The probability represents the area under the standard normal curve to the right of z = 2.197.

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Positive value of a vertically stretches the graph of f when a > 1 or shrinks the graph of f when a < 1. h translates the graph of f to the left when h < 0 or right when h > 0.

Several real-world scenarios use exponential functions, including population increase, compound interest, radioactive decay, and the spread of diseases. For instance, an exponential function may be used to simulate the expansion of a bacterial population, with the rate of increase being proportional to the population size. Similarly, compound interest, which applies the rate of interest to the principal sum across a number of periods, can be represented by an exponential function.

Positive value of a vertically stretches the graph of f when a > 1 or shrinks the graph of f when a < 1. h translates the graph of f to the left when h < 0 or right when h > 0 and k translates the graph of f up when k > 0 and down when k < 0.

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Answer:

y= 2/3x + 2

Step-by-step explanation:

Answer:

The length of AB is 20 units

Step-by-step explanation:

The given parameters from the graph for coordinates A and B are;

The coordinates of the point A = (1, 4)

The coordinates of the point B = (4, 8)

The length of segment AB is given by the equation for finding the distance, d between two points given their coordinates as follows;

\(d = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}\)

Where;

(x₁, y₁) = (1, 4)

(x₂, y₂) = (4, 8)

Substituting gives;

\(d_{AB} = \sqrt{\left (8-4 \right )^{2}+\left (4-1 \right )^{2}} = \sqrt{25} = 5\)

The length of \(\overline {AB}\) = 5

Therefore, given that ΔA'B'C is created by dilating ΔABC by a scale factor of 4, the length of A'B' = 4 × The length of AB

Therefore, the length of \(\overline {A'B'}\) = 4 × The length of \(\overline {AB}\) = 4 × 5 = 20

The length of \(\overline {A'B'}\) = 20 units.

Answer:

Points R(4,1) S(7,3) T(6,4) after translation

R(4-3, 1) S(7-3, 3) T(6-3, 4)

R'(1, 1) S'(4, 3) T'(3, 4)

Points R'(1, 1) S'(4, 3) T'(3, 4) after reflection

R''(1, -3) S''(4, -5) T''(3, -6)

Step-by-step explanation:

Answer:Step-by-step explanation:Points R(4,1) S(7,3) T(6,4) after translation R(4-3, 1) S(7-3, 3) T(6-3, 4) R'(1, 1) S'(4, 3) T'(3, 4) Points R'(1, 1) ...

The equation that represents the number of hours is Math = 5/4h

The given parameters are

hours = h

days = 5

The total time spent on homework is

Total = hours * days

This gives

Total = h * 5

Evaluate

Total = 5h

He spent 1/4 on math assignment,

So, we have

Math = 1/4 * 5h

Evaluate

Math = 5/4h

Hence, the equation that represents the number of hours is Math = 5/4h

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The denominator degrees of freedom of the F statistic for testing the null hypothesis of homoskedasticity is equal to the number of total observations (N) minus the number of groups (k). So, it can be represented as (N - k).

The denominator degrees of freedom of the F statistic for testing the null hypothesis of homoskedasticity depend on the sample size and the number of groups being compared.

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Answer:

y = x +5

Step-by-step explanation:

2x +4 + 1-x = x +5

hope this helps

The point on the plane 4x - y + 4z = 40 nearest the origin is (-3.048, -0.762, 6.467)

Given data ,

To find the point on the plane 4x - y + 4z = 40 nearest the origin, we need to minimize the distance between the origin and the point on the plane.

The normal vector to the plane 4x - y + 4z = 40 is given by (4,-1,4). To find the perpendicular distance from the origin to the plane, we need to project the vector from the origin to any point on the plane onto the normal vector. Let's choose the point (0,0,10) on the plane:

Vector from origin to (0,0,10) on the plane = <0-0, 0-0, 10-0> = <0,0,10>

Perpendicular distance from the origin to the plane = Projection of <0,0,10> onto (4,-1,4)

= (dot product of <0,0,10> and (4,-1,4)) / (magnitude of (4,-1,4))

= (0 + 0 + 40) / √(4^2 + (-1)^2 + 4^2)

= 40 / √(33)

To find the point on the plane nearest the origin, we need to scale the normal vector by this distance and subtract the result from any point on the plane. Let's use the point (0,0,10) again:

Point on the plane nearest the origin = (0,0,10) - [(40 / √(33)) / √(4^2 + (-1)^2 + 4^2)] * (4,-1,4)

= (0,0,10) - (40 / √(33)) * (4/9,-1/9,4/9)

= (0,0,10) - (160/9√(33), -40/9√(33), 160/9√(33))

= (-160/9√(33), -40/9√(33), 340/9√(33))

Hence , the point on the plane 4x - y + 4z = 40 nearest the origin is approximately (-3.048, -0.762, 6.467)

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The probability that at least one out of three bulbs lasts 1000 hours or more is 0.973 or approximately 97.3%.

To solve this problem, we need to use the concept of complementary probability. Complementary probability states that the probability of an event occurring plus the probability of its complement (the event not occurring) equals 1. Therefore, we can find the probability of at least one bulb lasting 1000 hours or more by finding the complement of the probability that all three bulbs fail before 1000 hours.

The probability that a single bulb fails before 1000 hours is 0.3. Therefore, the probability that it lasts 1000 hours or more is 0.7. Using this probability, we can find the probability that all three bulbs fail before 1000 hours as follows:

Probability of all three bulbs failing = 0.3 x 0.3 x 0.3 = 0.027

This means that the probability of at least one bulb lasting 1000 hours or more is the complement of 0.027, which is:

Probability of at least one bulb lasting 1000 hours or more = 1 - 0.027 = 0.973 or 97.3%

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Step-by-step explanation:

add the radii to get the diameter then multipy by pi

10 (3.14) =31.4

Since 5/12 and 1/2 have the same denominator, join their numerators to subtract them.

Subtract 1 from 5 to get 4.

Reduce the fraction 4/12 to its lowest expression by extracting and canceling 4.

Answer:

2x + y = -7

Step-by-step explanation:

Standard form is Ax + By = C

A represents the coefficient with x

B represents the coefficient with y

C represents the constants

1 - Rewrite to make it easier to work it out

y - 3 = -2 ( x + 5 )

2 - Distribute

y - 3 = -2x - 10

3 - Get the variables on one side and the constants on the other

y - 3 = -2x - 10

+ 2x  + 2x

2x + y - 3 = -10

         + 3   + 3

2x + y = -7

Hope this helps,

Answer:

\(SA = 2.94 \, \textrm{units}^2\)

Step-by-step explanation:

The surface area of a regular 3D figure can be represented as:

\(SA = A_{\textrm{\,1 side}} \cdot (\# \textrm{ of sides})\).

Therefore, the surface area of a cube is:

\(SA = s^2 \cdot 6\)

where \(s\) is the length of a side.

To solve this problem, simply input the given side length into the above formula:

\(SA = 0.7^2 \cdot 6\)

and simplify.

\(SA = 0.49 \cdot 6\)

\(SA = 2.94 \, \textrm{units}^2\)

The frequency of these visible light waves that our eyes see is equal to \(4.47\times 10^{-14}\;Hz\)

Wavelength refers to the distance between two (2) successive crests (troughs) of a wave.

Mathematically, the frequency of a wave is given by this formula:

\(F = \frac{V}{\lambda}\)

Where:

Substituting the given parameters into the formula, we have;

\(F=\frac{3 \times 10^8}{6.7 \times 10^{-7}} \\\\F=4.47\times 10^{-14}\;Hz\)

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Explanation:

Any triangle prism is composed of 2 parallel triangular faces (base faces), along with 3 rectangular lateral faces.

The bottom triangle face has a base of 10 cm and a height of 4 cm. The area is 0.5*base*height = 0.5*10*4 = 20 square cm. Two of these triangles combine to an area of 2*20 = 40 square cm. We'll use this later.

The lateral surface area of any prism can be found by multiplying the perimeter of the base by the height of the prism. The base triangle has side lengths 5, 8 and 10. The perimeter is 5+8+10 = 23. So the lateral surface area is (perimeter)*(height) = 23*9 = 207

Add this to the total base area we got earlier and the answer is 40+207 = 247. The units are in square cm, which we can write as cm^2.

The number of different arrangements that are there is 72.

If there are 5 people standing with 2 people staying adjacent to each other, hence we can take the 2 people as 1 to have a total of 4.

Hence the number of ways they can be arranged if two people are together is 4! * 2

Hence the number of different arrangements that are there is 72.

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The total number of vertices a full 5-ary tree with 100 internal vertices have is 501.

A tree with m or less offspring at each node is known as an m-ary tree. When m = 2, a binary tree is the particular case, and a ternary tree, which has m = 3 and a maximum of three offspring, is another special case.

A m-ary tree with just a root node has a height of 0, as the height h of an m-ary tree does not include the root node. The maximum depth D of any tree node determines the height of the tree.

In computer science, a collection of nodes often represented hierarchically in the following way is referred to as a "m-ary tree." At the root node, the tree is initiated. A list of pointers to each node's child nodes is kept by each node in the tree. There are less than or as many child nodes as m.

It is given the m-ary tree as 5-ary tree (m)

And the number of Intervals = 100(i)

We can calculate the number of vertices by using

n = m*i + 1 = 100*5 + 1 = 501

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Answer:

20

Step-by-step explanation:

Triangle inequality says that the third side can only be 18-3...15, that is bigger than 15.

And 18+3... 21, that is smaller than 21.

If the third side is 21, the 18 and the 3 will just lay right on top of the 21 and not make a triangle. So it has to be 20 in order to be a whole number.

Answer:

I'm pretty sure its c

Step-by-step explanation:

Answer:

get outta that bed and stop cheating lazy one begging people to do YOUR stuff

Step-by-step explanation: