Chanel pays 7% sales tax on a boat that costs 5,600 dollars. How much does the sales tax add to the purchase price?

Answer: D

Step-by-step explanation: asking for the difference

The only function that satisfies the differential equation is :

(D) y = cos(2x).

The given differential equation is y'' - 4y = 0. In order to find a solution to the differential equation follow the given steps:

Step 1: Find the second derivative y'' for each function.
(A) y = 2e

-> y'' = 0
(B) y = e^x

-> y'' = e^x
(C) y = sin(2x)

-> y' = 2cos(2x)

-> y'' = -4sin(2x)
(D) y = cos(2x)

-> y' = -2sin(2x)

-> y'' = -4cos(2x)

Step 2: Substitute each y'' and y back into the differential equation y'' - 4y = 0 to check which one satisfies the equation.

(A) 0 - 4(2e) = -8e ≠ 0
(B) e^x - 4(e^x) = -3e^x ≠ 0
(C) -4sin(2x) - 4sin(2x) = -8sin(2x) ≠ 0
(D) -4cos(2x) - 4(cos(2x)) = -8cos(2x) + 8cos(2x) = 0

The only function that satisfies the differential equation is (D) y = cos(2x).

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The mean for the first probability distribution is 2.9.

The mean for the second probability distribution is 2.42.

To create a probability distribution, the sum of all probabilities should equal 1.

For the first probability distribution:

x / P(x)

0 / 0.05

1 / 0.07

2 / 0.01

3 / ?

4 / 0.2

To find the missing value for P(3), we need to subtract the sum of the probabilities given from 1:

1 - (0.05 + 0.07 + 0.01 + 0.2) = 1 - 0.33 = 0.67

So, the missing value is P(3) = 0.67.

For the second probability distribution:

x / P(x)

0 / 0.14

1 / 0.13

2 / 0.02

3 / ?

4 / 0.12

Again, we can find the missing value by subtracting the sum of the given probabilities from 1:

1 - (0.14 + 0.13 + 0.02 + 0.12) = 1 - 0.41 = 0.59

So, the missing value is P(3) = 0.59.

To find the mean for a probability distribution, we multiply each value of x by its corresponding probability and then sum them up.

For the first probability distribution:

Mean = 0 * 0.05 + 1 * 0.07 + 2 * 0.01 + 3 * 0.67 + 4 * 0.2

= 0 + 0.07 + 0.02 + 2.01 + 0.8

= 2.9

The mean for the first probability distribution is 2.9.

For the second probability distribution:

Mean = 0 * 0.14 + 1 * 0.13 + 2 * 0.02 + 3 * 0.59 + 4 * 0.12

= 0 + 0.13 + 0.04 + 1.77 + 0.48

= 2.42

The mean for the second probability distribution is 2.42.

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The reasoning provided, "If you build it, they will come. You build it. Therefore, they will come," is an example of deductive reasoning.

Deductive reasoning is a logical process that involves drawing specific conclusions based on general principles, premises, or known facts. In this example, the premise is "If you build it, they will come," which establishes a cause-and-effect relationship. The subsequent statement, "You build it," serves as a confirmation of the premise. From these premises, the conclusion is drawn: "Therefore, they will come." The conclusion logically follows from the premises, making it an example of deductive reasoning.

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Answer:

Step-by-step explanation:

Adriel’s age if the sum of the square of adriel’s age and 4 times jevonte’s age is 85 is 7 years

Let the ages be x and x + 2 since they're consecutive odd integers.

We want to find Adriel’s age if the sum of the square of adriel’s age and 4 times jevonte’s age is 85. This will be illustrated as:

x² + 4(x + 2) = 85

x² + 4x + 8 = 85

Collect like terms

x² + 4x + 8 - 85

x² + 4x - 77 = 0

x² + 11x - 7x - 77 = 0

x(x + 12) - 7(x + 11) = 0

x - 7 = 0

x = 0 + 7

Therefore, the age is 7 years.

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Answer:

Step-by-step explanation:

complex numbers , real numbers , rational numbers , natural numbers , whole numbers

Answer:

h = 289 feet

Step-by-step explanation:

Comment

You need two givens to use in the formula to solve for the third.

Formula

v = sqrt(2*g*h)

Givens

V = 136 ft/s

g = 32 ft/s^2

h = ?

Solution

v = sqrt(2*g*h)                  Put the givens into the formula.

136 = sqrt(2* 32 * h)         Square both sides

136^2 = sqrt(2*32*h)^2   Expand

18496 = 64* h                  Divide by 64

18496/64 = 64*h/64  

289 feet = h

So the object must fall 289 feet before it reaches 136 m/s

The solutions are all the points inside the shaded region:

(1, 0.5) , (2,-1) and (2.5, -2)

Answer:

12 and 22

Step-by-step explanation:

let the smaller number be n then the larger number is n + 10 and their sum is

n + n + 10 = 34

2n + 10 = 34 ( subtract 10 from both sides )

2n = 24 ( divide both sides by 2 )

n = 12

smaller number is 12 and larger number is n + 10 = 12 + 10 = 22

Answer:

Average rate of change for given function is: -2

Step-by-step explanation:

Given function is:

\(f(x)=x^2-6x+8\\x_12= 1\\x_1 = 3\)

In order to find the rate of change, we have to find the value of function on x1 and x2

So,

\(f(x_1) = (3)^2-6(3)+8 = 9-18+8 = -1\\f(x_2) = (1)^2-6(1)+8 = 1-6+8 = 3\)

The formula for finding the rate of change is:

\(Rate\ of\ change = \frac{f(x_2)-f(x_1)}{x_2-x_1}\)

Putting the values, we get

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

Hence,

Average rate of change for given function is: -2

Answer:

Step-by-step explanation:

The inequality that shows Mari wants to spend at most 15$ on cheese and crackers for the party is: C + K ≤ 15 Where C represents the cost of cheese and K represents the cost of crackers.

The inequality C + K ≤ 15 means that the total cost of cheese and crackers should be less than or equal to 15$. This inequality shows that Mari wants to spend at most 15$ on cheese and crackers for the party. If the cost of cheese and crackers exceeds 15$, Mari will go over her budget and will not be able to afford the expenses.

Therefore, this inequality helps Mari plan her budget effectively and make sure that she doesn't overspend on cheese and crackers.

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For the function, \(h(x) = \frac{50}{5.5 + 8e^{-0.9x} }\), the value of h(4) is h(4) ≈ 8.7

From the question, we are to determine the value of h(4) in the given function.

The given function is

\(h(x) = \frac{50}{5.5 + 8e^{-0.9x} }\)

To determine the value of h(4), substitute 4 for x in the given function

\(h(x) = \frac{50}{5.5 + 8e^{-0.9x} }\)

\(h(4) = \frac{50}{5.5 + 8e^{-0.9(4)} }\)

\(h(4) = \frac{50}{5.5 + 8e^{-3.6} }\)

\(h(4) = \frac{50}{5.5 + 8(0.0273237) }\)

\(h(4) = \frac{50}{5.5 + 0.21859 }\)

\(h(4) = \frac{50}{5.71859 }\)

h(4) = 8.7434

h(4) ≈ 8.7

Hence, the value of h(4) is 8.7

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\sum_{i=1}^{n} x_{i}\left(x_{i}-\bar{x}\right)=\sum_{i=1}^{n}\left(x_{i}-\bar{x}\right)^{2}

The left-hand side of the equation is the sum of the products of each data point xi and the difference between that data point and the mean  xˉ . The right-hand side of the equation is the sum of the squares of the differences between each data point and the mean.

We can prove that the two sides are equal by expanding the terms on the left-hand side and combining them to form the terms on the right-hand side.

\begin{align*}

\sum_{i=1}^{n} x_{i}\left(x_{i}-\bar{x}\right)&=\sum_{i=1}^{n} x_{i}^{2}-\sum_{i=1}^{n} x_{i}\bar{x}\

&=\sum_{i=1}^{n} x_{i}^{2}-\frac{1}{n}\sum_{i=1}^{n} nx_{i}\

&=\sum_{i=1}^{n} x_{i}^{2}-\frac{1}{n}\sum_{i=1}^{n} x_{i}^{2}\

&=\frac{n-1}{n}\sum_{i=1}^{n} x_{i}^{2}\

&=\sum_{i=1}^{n}\left(x_{i}-\bar{x}\right)^{2}

\end{align*}

As you can see, the two sides of the equation are equal. This is a useful result in statistics, as it can be used to simplify the formulas for the mean and variance of a set of data.

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Answer:

4•(2+5)^2 -5^2 = 171

Step-by-step explanation:

Do BIDMAS
(brackets, indices, division, multipy, add, sub)

so brackets
4*7^2-5^2
then do the indices
4*49-25
then the multiply
196-25
= 171
Hope this helps

Answer: Brackets => 4 x (7)^2 - 5^2
               Indices/Orders => 4 x 49 - 25

               Multiplication => 196 - 25

               Subtraction => 171

Answer:

its C

Step-by-step explanation:

sin(2x)-1 <=cos(2x)-2

whoever said it was wrong is looking at the wrong question.

The trigonometric inequalities over the interval \(0\leq \pi \leq 2\) radians are \(\rm sin2x-1 = cos2x-2\).

We have to determine, the following trigonometric inequalities over the interval \(0\leq \pi \leq 2\) radians?

The trigonometric inequality over the interval \(0\leq \pi \leq 2\) radians is used to solve the equation is as follows.

The equation is used to inequality over the given interval is,

\(\rm sin2x-1 = cos2x-2\)

To solve the inequality substitute the formula of sin2x and cos2x.

\(\rm Sin2x = 2 \ sinx \ cosx\\\\Cos2x = 1-sin^2x\)

Then,

The trigonometric inequality is,

\(\rm Sin2x-1 \leq cos2x-2\\\\\rm 2\ sinx \ cosx-1\leq 1-sin^2x - 2\\\\ 2\ sinx \ cosx-1 \leq -sin^2x - 1\\\\Adding \ 1 \ on \ both \ sides\\\\2\ sinx \ cosx-1 +1\leq -sin^2x - 1+1\\\\2\ sinx \ cosx-\leq -sin^2x \\\\2cosx \leq -sinx\\\\Divided\ by -cosx \ on \ both\ side\\\\2 \dfrac{cosx}{-cosx} \leq \dfrac{-sinx}{-cosx}\\\\tanx\leq 2\)

Hence, The trigonometric inequalities over the interval \(0\leq \pi \leq 2\) radians are \(\rm sin2x-1 = cos2x-2\).

.

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\( - 14x - 5 = - 10x - 45 \\ - 14x + 10x = - 45 + 5 \\ - 4x = - 40 \\ x = \frac{ - 40}{ - 4} \\ x = 10\)

Answer:1/52

Step-by-step explanation:

Answer:

8 + z = 13.

Step-by-step explanation:

8 + z = ?

z = 5

8 + 5 = ?

8 + 5 = 13.

Answer:

13

Reasoning

\(8+z=?\) when z=5

\(8+5=13\)

The answer is option (C), that is, the events of rolling a fair die two times are independent. The events are neither disjoint nor exclusive.

When rolling a fair die two times, one can get any one of the 36 possible outcomes equally likely. Let A be the event of obtaining an even number on the first roll and let B be the event of getting a number greater than 3 on the second roll. Let’s see how the outcomes of A and B are related:

There are three even numbers on the die, i.e. A={2, 4, 6}. There are four numbers greater than 3 on the die, i.e. B={4, 5, 6}. So the intersection of A and B is the set {4, 6}, which is not empty. Thus, the events A and B are not disjoint. So option (A) is incorrect.

There is only one outcome that belongs to both A and B, i.e. the outcome of 6. Since there are 36 equally likely outcomes, the probability of the outcome 6 is 1/36. Now, if we know that the outcome of the first roll is an even number, does it affect the probability of getting a number greater than 3 on the second roll? Clearly not, since A∩B = {4, 6} and P(B|A) = P(A∩B)/P(A) = (2/36)/(18/36) = 1/9 = P(B). So the events A and B are independent. Thus, option (C) is correct. Neither option (A) nor option (C) can be correct, so we can eliminate options (D) and (E).

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The p-value is smaller than 0.05 is true. If the p-value is smaller than 0.05, we reject the null hypothesis (H0). A small p-value indicates that the probability of obtaining such a result by chance is low.

When the p-value is less than the level of significance (0.05), we reject the null hypothesis (H0) and assume that the alternative hypothesis (Ha) is true. Thus, it can be concluded that if the p-value is less than 0.05, then there is sufficient evidence to support the alternative hypothesis and reject the null hypothesis.8. We decide that p-value is less than 0.05. Therefore, we reject the null hypothesis.

When the p-value is less than 0.05, the null hypothesis is rejected, and it is assumed that the alternative hypothesis is valid. The alternative hypothesis can be one-tailed or two-tailed. If the alternative hypothesis is one-tailed, then the critical region is in one tail of the distribution. In contrast, if the alternative hypothesis is two-tailed, the critical region is in both tails of the distribution. Thus, when the p-value is less than 0.05, we reject the null hypothesis and accept the alternative hypothesis.

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Given:

The objective is to find the number.

Explanation:

Consider the unknown number as x,

First, four times the number can be written as 4x.

Twenty more than 4 time the number will be,

Then, twice the number can be represented as 2x.

And the difference between 2 and twice the number will be,

Now, equate both the equations (1) and (2).

Hence, the unknown number is -3.

The volume of the gas approximately directly proportional to its number of moles of gas when both temperature and pressure are constant.

V∝ n at constant P and T

V = constant × (n)

Vn = constant

This can be mathematically stated as follows: As before, we can anticipate what will change to the volume of the a sample of gas as we adjust the number of moles using Avogadro's law.

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Answer: Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama Joe Mama

Step-by-step explanation:

Answer:

fraction

Step-by-step explanation:

If you have a negative exponent, such as \(x^{-2}\), that can also be written as \(\frac{x^{-2} }{1}\)

by moving the exponent (and it's base) to the denominator (the other side of the fraction, since it's in the numerator), you make the exponent positive: \(\frac{1}{x^{2} }\)

Answer:

It’s D

Step-by-step explanation:

Answer:

A.) The coefficient of determination is 0.994,which means that the function is a very good fit of the data set.

Step-by-step explanation:

I got it right on odyssey .

Answer:

The answer is "5, 12, and 13".

Step-by-step explanation:

Please find the complete question in the attached file.

The right triangle is a triangle with only an angle of 90 degrees, as well as the go in the angle of 90 degrees, which is considered a hypotenuse.

The hypotenuse calculation square is equivalent to both the squared measures of the other two sides:

\(C^2=A^2+B^2\)

And even those squares do verify the equation:

\(169 = 144 + 25\)

So, it's a rectangular (right) triangle, with sides spanning \(5, 12, \ and \ 13.\)

Answer:

B

Step-by-step explanation: