4. Mark says to do the problem 12 % + 3 %, you just find 12 +3 =4 and % +3/4=1/3 to get 4- How do you respond?

After one year, Nick will have approximately 135,168 clients.

To calculate the number of clients Nick will have after one year, we need to determine the number of months in one year and apply the doubling rate each month.

There are 12 months in one year.

Starting with 33 clients, we can calculate the number of clients after each month:

Month 1: 33 clients * 2 = 66 clients

Month 2: 66 clients * 2 = 132 clients

Month 3: 132 clients * 2 = 264 clients

...

Month 12: (previous month's clients) * 2 = final number of clients after one year

We can continue this pattern until reaching Month 12:

Month 4: 264 clients * 2 = 528 clients

Month 5: 528 clients * 2 = 1056 clients

Month 6: 1056 clients * 2 = 2112 clients

Month 7: 2112 clients * 2 = 4224 clients

Month 8: 4224 clients * 2 = 8448 clients

Month 9: 8448 clients * 2 = 16896 clients

Month 10: 16896 clients * 2 = 33792 clients

Month 11: 33792 clients * 2 = 67584 clients

Month 12: 67584 clients * 2 = 135,168 clients

Therefore, after one year, Nick will have approximately 135,168 clients.

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Answer:

4th answer is correct

Step-by-step explanation:

First, let us make x the subject.

\(\sf \frac{x+4}{4} =\frac{y+7}{7}\)

Use cross multiplication.

\(\sf 7(x+4)=4(y+7)\)

Solve the brackets.

\(\sf 7x+28=4y+28\)

Subtract 28 from both sides.

\(\sf 7x=4y+28-28\\\\\sf7x=4y\)

Divide both sides by 7.

\(\sf x=\frac{4y}{7}\)

Now let us find the value of x/4.

To find that, replace x with (4y/7).

Let us find it now.

\(\sf \frac{x}{4} =\frac{\frac{4y}{7} }{4} \\\\\sf \frac{x}{4} =\frac{4y}{7}*\frac{1}{4} \\\\\sf \frac{x}{4} =\frac{4y}{28}\\\\\sf \frac{x}{4} =\frac{y}{7}\)

The correct option is A, equilibrium price increases from $6 to $8.

In economics, equilibrium is a state in which the supply and demand for a product or service are balanced, resulting in a stable price. This can occur in a free market, where the price of a good or service is determined by the interaction of buyers and sellers.

Overall, equilibrium is a fundamental concept in many different fields, representing a state of balance or stability in a system or situation.

If the demand schedule changes from D2 to D1, then the demand curve shifts to the left. As a result, the new equilibrium point will be where the new demand curve (D1) intersects with the supply curve (S1).

From the table, we can see that the new equilibrium point is at a price of $8 and a quantity of 15. Therefore, the equilibrium price increases from $6 to $8, but the equilibrium quantity decreases from 15 to 13.

So the correct answer is: equilibrium price increases from $6 to $8.

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Answer:4.62x10^13

Step-by-step explanation:

Answer:

2 sqrt(2)

Step-by-step explanation:

To simplify a square root

sqrt(8)

sqrt(4*2)

sqrt(4) sqrt(2)

2 sqrt(2)

Answer:

2√2

Step-by-step explanation:

√8 =\(\sqrt{4 \times 2}\)

= 2√2 (√4 = 2)

Hence, 2√2 is the required answer.

The number of miles per gallon Jessica's car gets during the entire 20-mile trip is 44.44. To determine the miles Jessica's car gets per gallon during the 20-mile, you must calculate the harmonic mean of the two gas mileages, 50 mpg, and 40 mpg.

The formula for the harmonic mean is given by:

H = n/(1/a + 1/b), Where H is the harmonic mean, n is the number of values, and a and b are the values whose harmonic mean is to be calculated.

So, the total number of miles traveled by Jessica during the entire trip is 20 miles, that is, 10 miles to school and 10 miles back home. Now, the harmonic mean of the two gas mileages, i.e., 50 mpg and 40 mpg, can be calculated as follows:

H = 2/(1/50 + 1/40)

   = 44.44

Therefore, Jessica's car gets an average of 44.44 miles per gallon during the 20-mile trip.

Jessica's car gets 50 miles per gallon on a 10-mile trip to school, while on her way back, she gets 40 miles per gallon. So, the question seeks to know the number of miles per gallon her car gets during the 20-mile trip. To answer this question, you must calculate the harmonic mean of the two gas mileages, i.e., 50 mpg and 40 mpg. The harmonic mean is calculated using the formula:

H = n/(1/a + 1/b), Where H is the harmonic mean, n is the number of values, and a and b are the values whose harmonic mean is to be calculated. Since the total number of miles Jessica traveled during the trip is 20 miles, that is, 10 miles to school and 10 miles back home, you will have to plug in the appropriate values to get the answer. Therefore, Jessica's car gets an average of 44.44 miles per gallon during the 20-mile trip.

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Answer:

2x3+4 and x-y to 3rd and 2nd multiply to get=6/4

Step-by-step explanation:

Edge 2022

Step-by-step explanation:

The domain of the function f(x) = 3x - 2  {x | x is a real number} .

What is domain ?

The range of values that can be plugged into a function is known as its domain. In a function like f, this set represents the x values (x). The collection of values that a function can take on is known as its range.

Let y = f(x) be a function where x and y are the independent and dependent variables. If a function f offers a means of successfully generating a single value y while using a value for x to that end, then that selected x-value is said to belong to the domain of f.

The domain is the collection of all ordered pairs' first elements (x-coordinates). All second elements of ordered pairs make up the range (y-coordinates).

The domain is the set of all the input values given to a function.

The domain of any expression is set to all the real numbers, except where the expression is undefined.

In the expression f(x) = 3x - 2, the domain is all real numbers and the graph of the function will be a straight line without discontinuities.

The domain of f(x) = 3x - 2 is {x | x is a real number} and this can be denoted as ( - ∞, ∞) for all x ∈ R.

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Answer:

Please look at the image

From the info 2 jars with 106 sprinkles each, we know 1 jar would have 53 sprinkles.

1 jar has 53 sprinkles.

6 jars have 318 sprinkles because:

6 × 53 = 318

13 jars have 689 sprinkles because:

13 × 53 = 689

Answer:

I belive it would be 102

Step-by-step explanation:

Answer:

306 cm

Step-by-step explanation:

the opposite side is the same as the shaded side

18 x 17 = 306 cm

Answer:

\( \sqrt[3]{1000} = 10\)

So the radius of the sphere is 10/2 = 5 inches.

The volume of this sphere is

(4/3)π(5³) = 500π/3 cubic inches.

Yes, if you are testing hypotheses and your p-value gives you a rejection of the null hypothesis for a 5% significance level, then all other things being equal you would also get a rejection of the null hypothesis for a 10% significance level. This statement is true.

What is a p-value?

The probability value (p-value) is the probability of obtaining the test statistic under the null hypothesis. The p-value is a measure of the strength of the proof against the null hypothesis. A tiny p-value (typically less than 0.05) implies that the data is inconsistent with the null hypothesis and that we should dismiss the null hypothesis in favour of the alternative hypothesis. We fail to reject the null hypothesis if the p-value is big (typically larger than 0.05).

We may state with 95% confidence that the null hypothesis is false if we reject the null hypothesis at a significance level of 0.05. If we reject the null hypothesis at a significance level of 0.01, we may state with 99 percent confidence that the null hypothesis is incorrect.

Therefore, if a p-value gives a rejection of the null hypothesis for a 5% significance level, then all other things being equal you would also get a rejection of the null hypothesis for a 10% significance level.

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In shape (i), there are two electron domains around the central atom. This means that the electron-domain geometry is linear. However, there are two bonding pairs and no lone pairs of electrons around the central atom, resulting in the molecular geometry also being linear.

The concept of electron-domain geometry and molecular geometry is essential in understanding the properties of molecules. The electron-domain geometry is determined by the number of electron domains (bonding or lone pairs) around the central atom in a molecule. On the other hand, the molecular geometry is determined by the arrangement of atoms in the molecule, taking into account the presence of lone pairs.

Knowing the electron-domain geometry and molecular geometry of a molecule is crucial in predicting its polarity and reactivity. For instance, polar molecules have an asymmetric distribution of electron density, while nonpolar molecules have a symmetric distribution. This difference in polarity affects the physical and chemical properties of a molecule, such as boiling point, melting point, and solubility.

In summary, in shape (i), both the electron-domain geometry and molecular geometry are linear, which means that the central atom has two bonding pairs and no lone pairs. Understanding the electron-domain and molecular geometry of molecules is essential in predicting their properties and behavior.

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Answer:

10

Step-by-step explanation:

A = 7, B = 2

7 = 2 * 3 + 1

7 mod 2 = 1

A = 8, B = 4

8 = 4 * 2 + 0

8 mod 4 = 0

A = 13, B = 5

13 = 5 * 2 + 3

13 mod 5 = 3

A = -16, B = 26

-16 = 26 * -1 + 10

-16 mod 26 = 10

Answer:

Coordinate of A: -9

Coordinate of Q: 9

Step-by-step explanation:

1 - 10 = -9

1 + 8 = 9

The value of the given triple integral is 486π/5.

What is volume?

A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder, or a sphere. Different shapes have different volumes.

To evaluate the triple integral ∫∫∫B(x²+y²+z²)² dv using spherical coordinates,

we need to express the integrand and the volume element in terms of spherical coordinates and determine the limits of integration.

In spherical coordinates, the integrand is given by:

f(ρ, θ, φ) = (ρ²)² = ρ⁴

The volume element in spherical coordinates is:

dV = ρ² sin(φ) dρ dθ dφ

The limits of integration for the triple integral are:

0 ≤ ρ ≤ 3 (since B is the ball with center the origin and radius 3)

0 ≤ θ ≤ 2π (since θ ranges over the full circle)

0 ≤ φ ≤ π (since φ ranges over the upper hemisphere)

Therefore, we have:

∫∫∫B(x²+y²+z²)² dv

= ∫₀³ ∫₀²π ∫₀ᴨρ⁴ sin(φ) dφ dθ dρ (substituting in the expression for f(ρ, θ, φ) and dV)

= ∫₀³ ∫₀²π [-ρ⁴ cos(φ)] from φ=0 to φ=π dθ dρ (evaluating the integral with respect to φ)

= ∫₀³ ∫₀²π 2ρ⁴ dθ dρ (since cos(0) - cos(π) = 2)

= ∫₀³ 2πρ⁴ dρ (integrating with respect to θ)

= (2π/5) [ρ⁵] from ρ=0 to ρ=3 (integrating with respect to ρ)

= (2π/5) [3⁵ - 0⁵]

= (2π/5) (243)

= 486π/5

Therefore, the value of the given triple integral is 486π/5.

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For a 90% confidence level with 3 degrees of freedom, the critical value is approximately 2.920 (rounded to three decimal places). Rounding to two decimal places, the 90% confidence interval for the mean repair cost for the stereos is approximately $61.73 to $103.55.

Step 1: Find the critical value.

To construct a 90% confidence interval, we need to find the critical value associated with a 90% confidence level. Since the sample size is small (n = 4) and the population is assumed to be approximately normal, we use a t-distribution instead of a z-distribution.

Since the sample size is small, we have (n - 1) degrees of freedom, where n is the sample size. In this case, we have (4 - 1) = 3 degrees of freedom.

Step 2: Construct the confidence interval.

The formula for constructing a confidence interval for the mean is:

CI = sample mean ± (critical value * (sample standard deviation / sqrt(sample size)))

Given:

Sample mean (X) = $82.64

Sample standard deviation (s) = $14.32

Sample size (n) = 4

Critical value (t*) = 2.920

Plugging in the values into the formula, we have:

CI = 82.64 ± (2.920 * (14.32 / sqrt(4)))

= 82.64 ± (2.920 * (14.32 / 2))

= 82.64 ± (2.920 * 7.16)

= 82.64 ± 20.9072

=($61.73, $103.55)

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Answer:

(2) The statement is true.

-1 < r < 1

I just have the answer of the 70.

it is 10560

Answer:

69 is 1/3 and 70 is 10560

Step-by-step explanation:

Answer:

  (a)  15 -18i

Step-by-step explanation:

You want the simplified form of the expression -2i(5- i) + (17- 8i).

For many purposes, the value i in a complex number can be treated in the same way a variable would be treated. When simplifying an expression involving i, any instances of i² can be replaced with the real value -1.

  -2i(5- i) + (17- 8i) = -10i +2i² +17 -8i

  = -2 +17 +(-10 -8)i

  = 15 -18i

__

Additional comment

Your scientific or graphing calculator can probably help you evaluate such expressions.

Answer:

150 of Grant`s coins are quarters. i hope this helped

The distance from y to W is sqrt(10), which is the exact answer using radicals.

Let's start by finding the projection of y onto the subspace W spanned by v1 and v2. The projection of y onto W is given by:

projW(y) = ((y · v1)/||v1||^2)v1 + ((y · v2)/||v2||^2)v2

where · denotes the dot product and || || denotes the norm or length of a vector.

Using the given information, we have:

v1 = [1 0 1 0], v2 = [0 1 0 1], and y = [2 4 0 0]

We can calculate the dot products and norms as follows:

||v1||^2 = 1^2 + 0^2 + 1^2 + 0^2 = 2

||v2||^2 = 0^2 + 1^2 + 0^2 + 1^2 = 2

y · v1 = 2(1) + 4(0) + 0(1) + 0(0) = 2

y · v2 = 2(0) + 4(1) + 0(0) + 0(1) = 4

Therefore, the projection of y onto W is:

projW(y) = ((2/2)[1 0 1 0]) + ((4/2)[0 1 0 1])

= [1 0 1 0] + [0 2 0 2]

= [1 2 1 2]

The closest point to y in W is the projection projW(y), so we have:

v = [1 2 1 2]

The distance from y to W is the length of the vector y - v, which we can calculate as:

||y - v|| = ||[2 4 0 0] - [1 2 1 2]||

= ||[1 2 -1 -2]||

= sqrt(1^2 + 2^2 + (-1)^2 + (-2)^2)

= sqrt(10)

Therefore, the distance from y to W is sqrt(10), which is the exact answer using radicals.

Complete question: Let \($y=\left[\begin{array}{r}13 \\ -1 \\ 1 \\ 2\end{array}\right], y_1=\left[\begin{array}{r}1 \\ 1 \\ -1 \\ -2\end{array}\right]$\), and \($v_2=\left[\begin{array}{l}5 \\ 1 \\ 0 \\ 3\end{array}\right]$\) . Find the distance from y to the subspace W of \($\mathrm{R}^4$\) spanned by \($v_1$\) and \($v_2$\), given that the closest point to \($y$\) in \($W$\) is \($\hat{y}=\left[\begin{array}{r}11 \\ 3 \\ -1 \\ 4\end{array}\right]$\).

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The values of x that will give a range of 55 include 42 and -13.

A range simply means the difference between the highest number that is given and the lowest number that is given.

In this case, the chose numbers include:.

Larger number = 42

Smaller number = -13

Range = Larger number - Small number

= 42 - (-13)

= 42 + 13

= 55

The range of 55 is gotten.

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The two possible values of x given the range are -13 and 58.

Range is used to measure the variation of a dataset. Range is the difference between the highest number in the dataset and the lowest number in the dataset.

Range = highest number - lowest number

x can either be the largest number in the dataset or the smallest number in the dataset.

Value of x if it is the smallest value in the dataset.

42 - x = 55

x = 42 - 55

x = -13

Value of x if it is the largest value in the dataset.

x - 3 = 55

x = 55 + 3

x = 58

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Answer:

3rd one

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Find the prime factors of each term in order to find the greatest common factor (GCF).

So the greatest number of both is 3

Hope this helps

Answer:

To get the solution, we are looking for, we need to point out what we know.  

1. We assume, that the number 52 is 100% - because it's the output value of the task.  

2. We assume, that x is the value we are looking for.  

3. If 52 is 100%, so we can write it down as 52=100%.  

4. We know, that x is 20% of the output value, so we can write it down as x=20%.  

5. Now we have two simple equations:

1) 52=100%

2) x=20%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

52/x=100%/20%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 20% of 52

52/x=100/20

(52/x)*x=(100/20)*x       - we multiply both sides of the equation by x

52=5*x       - we divide both sides of the equation by (5) to get x

52/5=x  

10.4=x  

x=10.4

now we have:  

20% of 52=10.4

Step-by-step explanation: