Identify the graph of f(x) = 4√x.

Hey there! :)

Answer:

x = 4, y = -18 or (4, -18).

Step-by-step explanation:

Given:

5x + y = 2

2x - 3y = 62

We can use substitution to solve this problem. Rearrange the first equation in terms of y:

5x + y = 2 ---> y = -5x + 2

Substitute in this equation for y into the second equation:

2x - 3(-5x + 2) = 62

Distribute -3:

2x + 15x  - 6 = 62

Combine like terms:

17x - 6 = 62

Add 6 to both sides:

17x = 68

Divide both sides by 17:

x = 4.

Plug in this value for x into an equation to solve for y:

5(4) + y = 2

20 + y = 2

y = -18.

Therefore, the solutions to this system of equations are:

x = 4, y = -18 or (4, -18).

Based on the number of names of winners that can be drawn, and the number of names in the basket, the number of different ways they can be drawn is 190 different ways

There are 20 names that you can draw from, in the raffle. There are however, only 2 names that can be picked for the same prize. This means that this is a combination problem.

The number of ways to pick the two winners can be modelled as:

= ₂₀C₂

= 20! / ( 2 ! ( 20 - 2) ! )

= 190 different ways

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Answer:

Natural

Step-by-step explanation:

Answer:

10x+3y+2

Step-by-step explanation:

To evaluate the triple integral ∭E x dV using cylindrical coordinates, we need to express the differential volume element dV in terms of cylindrical coordinates.

In cylindrical coordinates, we have: x = r cosθ, y = r sinθ, z = z. The limits of integration for each variable are as follows: r: 0 to 5 (since the cylinder x² + y² = 25 has a radius of 5), θ: 0 to 2π (covering the entire circle), z: 0 to x (since z ranges from 0 to x). Now, let's calculate the differential volume element dV in cylindrical coordinates: dV = r dz dr dθ. Substituting x = r cosθ and z = x, we have: x dV = (r cosθ)(r dz dr dθ) = r² cosθ dz dr dθ. To evaluate the triple integral, we integrate x dV over the given region E: ∭E x dV = ∫∫∫E x dV = ∫₀²π ∫₀⁵ ∫₀ˣ r² cosθ dz dr dθ. Integrating with respect to z, we get: ∭E x dV = ∫₀²π ∫₀⁵ [r² cosθ z]₀ˣ dr dθ = ∫₀²π ∫₀⁵ r² cosθ x dr dθ.  Now, integrating with respect to x, we have:

∭E x dV = ∫₀²π ∫₀⁵ r² cosθ (∫₀ˣ dx) dr dθ = ∫₀²π ∫₀⁵ r² cosθ [x]₀ˣ dr dθ = ∫₀²π ∫₀⁵ r² cosθ r dr dθ,. Integrating with respect to r, we get: ∭E x dV = ∫₀²π [(r³/3) cosθ]₀⁵ dθ= ∫₀²π (125/3) cosθ dθ. Finally, integrating with respect to θ, we have: ∭E x dV = (125/3) ∫₀²π cosθ dθ.  Evaluating the integral, we have: ∭E x dV = (125/3) [sinθ]₀²π = (125/3) (sin(2π) - sin(0))= (125/3) (0 - 0) = 0.

Therefore, the triple integral ∭E x dV, evaluated in cylindrical coordinates, is equal to 0.

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The probability that one of the scores in the sample is less than 1484 is 0.2437 .

a)Given that mean u = 1403

standard deviation σ = 200

sample size n = 32

P(x>1484) = P(X-u/σ > 1484-1403/200)

                = P (z > 0.405)

P(x>1484) = 0.2437 .

hence the probability that one score is greater than 1484 is 0.405 .

b) Now we have to find the average of the scores of 48 samples.

P(x>1484)

= P(x-μ/ σ/√n> 1484-1403 /200/√48)

= P(z>2.805.)

Now we will use the normal distribution table to calculate the p value to be 0.002516.

p-value = 0.0025

Normal distributions are very crucial to statistics because not only they are commonly used in the natural and social sciences but also to describe real-valued random variables with uncertain distributions.

They are important in part because of the central limit theorem. This claim states that, in some cases, the average of many samples (observations) of a random process with infinite mean and variance is itself a random variable, whose distribution tends to become normal as the number of samples increases.

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Answer:

not sure if it's a or b but I think it's a

Answer:

2

Step-by-step explanation:

Answer:

its not wrong

Step-by-step explanation:

it is fine to divide all terms on both sides of the equation by some number as long as you are not dividing by 0

Answer:

Yes

Step-by-step explanation:

You must first get rid of the 32 so you can divide the other numbers and solve for x

Alicia's estimate of the surface area of the rectangular prism is not reasonable based on her miscalculation of the volume.

To determine whether Alicia's estimate of the surface area of the rectangular prism is reasonable, we first need to check if her calculation of the volume of the rectangular prism is correct.

The formula for calculating the volume of a rectangular prism is:

Volume = length x width x height

Substituting the given values in the formula, we get:

Volume = 11 meters x 5.6 meters x 7.2 meters

Volume = 449.28 cubic meters

As we can see, Alicia's estimate of 334 cubic meters is significantly lower than the actual volume of the rectangular prism, which is 449.28 cubic meters. Therefore, her estimate of the surface area is likely to be incorrect as well.

It is also important to note that the problem statement asks about the estimate of the surface area, not the volume. However, since the formula for calculating the surface area of a rectangular prism also involves the dimensions of length, width, and height, it is highly likely that Alicia's estimate of the surface area would also be incorrect given her miscalculation of the volume.

In conclusion, Alicia's estimate of the surface area of the rectangular prism is not reasonable based on her miscalculation of the volume.

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Answer:

B

Step-by-step explanation:

its B because the line is positive and thats the increase of it

hope this helps :)

mark me brainliest if it did help please

Answer: its B. 2/3

Step-by-step explanation: slope is rise/run. Pick two points and see how much u need to go up and across to get to the next point. I cant explain very well.

In a parallelogram the 4 angles need to sum to 360 degrees. There are two sets of identical angles, so one of the other angles would also be 80 degrees.

Now find the other two angles:

360 - 80 - 80 = 200 degrees

200 degrees / 21 = 100 degrees each.

The other 3 angles are: 80, 100 and 100

Answer:6

Step-by-step explanation:

8-6 = 2

Answer:

10

Step-by-step explanation:

Let the number be equal to y

No inferences can be made without performing a hypothesis test

A hypothesis test is a statistical test used to determine whether a specific hypothesis about a population parameter is supported by the data. In this test, a null hypothesis (H0) is stated, which is usually the assumption that the population parameter is equal to a specific value or falls within a certain range. An alternative hypothesis (Ha) is also stated, which is usually the opposite of the null hypothesis.

The next step is to collect data and use statistical techniques to calculate a test statistic, which measures how far the sample data deviates from the null hypothesis. The test statistic is compared to a critical value in a probability distribution, such as a t-distribution or z-distribution, which is determined based on the level of significance (alpha) and the degrees of freedom

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Full Question: what inferences about the relation between income and type of oven usage in population may be drawn from the data above?

Table attached

Alejandro's current age is 17 years old.

Let's assume that Wilfredo's current age is 42 years. According to the given information, Wilfredo is 8 years older than twice Alejandro's age.

Let's represent Alejandro's age as 'x'. Therefore, twice Alejandro's age would be 2x. According to the information, Wilfredo is 8 years older than twice Alejandro's age, so we can form the equation:

42 = 2x + 8

To find the value of 'x', we can subtract 8 from both sides of the equation:

42 - 8 = 2x

34 = 2x

Next, we can divide both sides of the equation by 2 to solve for 'x':

34/2 = 2x/2

17 = x

Therefore, Alejandro's current age is 17 years old.

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Answer:

What is

Step-by-step explanation:

What is the question

Answer:

y = 2

Step-by-step explanation:

locate x = - 2 on the x- axis, go vertically up to meet the graph at (- 2, 2 )

that is when x = - 2 then y = 2

Answer:

y = 2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

The Y intercept is 2.

You can figure this out by looking at the Y line (the vertical one) and seeing theres a point exactly on 2, when the X number is at 0.

2

Hope it helps.

Do comment if you have any query.

Answer:y= -5

X=-6

-5/6

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Because you devide the unit rate

The Munks saved $4444 by exercising the increase-in-payment option.

a) The first step is to compute the payment that would be made on a $175000 15-year loan at 6.25 percent compounded semi-annually over five years. Using the formula:

PMT = PV * r / (1 - (1 + r)^(-n))

Where PMT is the monthly payment, PV is the present value of the mortgage, r is the semi-annual interest rate, and n is the total number of periods in months.

PMT = 175000 * 0.03125 / (1 - (1 + 0.03125)^(-120))

= $1283.07

The Munks pay $1300 each month, which is rounded up to the nearest $100. At the end of five years, the mortgage balance will be $127105.28.
b) Over the remaining 10 years of the mortgage, the balance of $127105.28 will be amortized with payments of $1430 each month. The Munks pay an extra $130 per month, which is 10% of their new payment.

The additional $130 per month will be amortized by the end of the mortgage term.
c) Without the increase-in-payment option, the Munks would have paid $1283.07 per month for the entire 15-year term, for a total of $231151.20. With the increase-in-payment option, they paid $1300 per month for the first five years and $1430 per month for the remaining ten years, for a total of $235596.00.

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Step-by-step explanation:

I would suggest that she studies or do a cost analysis of what it will cost her to transport to the library to request for the book and return it, if it is not expensive as compared to the cost of the book she should travel down to request for it. else she should purchase the book

Or

Fareeda can simply check if the second library has a distant library services so that the book can be either

1. Sent to her home or placement address, or

2.Scans of book chapters and articles be emailed to her.

If one-tower can hold 4.37×10⁶ gallons of water and other tower can hold 3.92×10⁶ gallons of water, then combined water capacity of two towers is 8.29×10⁶ gallons.

In order to find the combined water capacity of the two towers, we simply need to add their individual capacities.

The water capacity of one tower is = 4.37×10⁶ gallons of water, and the water capacity of other tower is = 3.92×10⁶ gallons of water,

So, their combined capacity is:

⇒ 4.37×10⁶ + 3.92×10⁶ = 8.29×10⁶ gallons

Therefore, the combined water capacity of the two towers is 8.29×10⁶ gallons.

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The given question is incomplete, the complete question is

A city has two water towers. one tower holds 4.37×10⁶ gallons of water and the other holds 3.92×10⁶ gallons of water. What is the combined water capacity of the two towers?

Answer

The triangle might be an equilateral triangle.

False

The triangle must be a right triangle.

False

The triangle might be an acute triangle.

True

Explanation

First of, we will explain the different types of triangles that exist based on side lengths and angle measures respectively,

Based on side lengths,

- Scalene triangle has none of its three sides having the same length as another. All the three sides have different lengths. To use angle to know this, all the three angles of a Scalene triangle have different values.

- Isoscelles triangle has two of its sides with the same lengths. In terms of angles, an Isoscelles triangle has two of its angles equal to each other.

- Equilateral triangle has all of its sides equal to one another. In terms of angles, all of the angles of an Equilateral triangle are equal to one another. Each of the angle is equal to 60°.

Based on angle measures,

- Acute triangle has all of the angles in the triangle being less than 90 degrees.

- Right angle triangle has one of the angles in the triangles being equal to 90 degrees.

- Obtuse triangle has one of the angles in the triangle being greater than 90 degrees but obviously less than 180 degrees.

So, a sketch of the triangle described would look like

So, we can see that the triangle has two sides equal, hence, the two base angles will be equal to.

If we call those base angles, x,

x + x + 45° = 180°

2x = 180° - 45°

2x = 135°

Divide both sides by 2

(2x/2) = (135°/2)

x = 67.5°

Three angles of the triangle are 45°, 67.5° and 67.5°

So, taking the statements one at a time now

The triangle might be an equilateral triangle.

This statement is False since it is evident that all the angles of this triangle are not equal to one another, hence, the sides cannot all be equal too.

The triangle must be a right triangle.

This statement too, is False. None of the angles of the triangle is equal to 90°.

The triangle might be an acute triangle.

This statement is True. All of the angles of the triangle are less than 90°.

Hope this Helps!!!

The correct conclusion is a. The P-value 0.114 is not significant and so does not strongly suggest that σ < 3.3.

To calculate the P-value and draw a conclusion regarding the hypothesis that the population standard deviation σ = 3.3, we can perform a one-sample t-test.

Given:

Sample size (n) = 22

Sample standard deviation (s) = 2.969

Hypothesized population standard deviation (σ) = 3.3

To calculate the test statistic (t-value) for a one-sample t-test, we can use the formula:

t = (s - σ) / (s / √(n))

Substituting the given values:

t = (2.969 - 3.3) / (2.969 / √(22))

Calculating the t-value:

t ≈ -1.252

Next, we need to find the corresponding P-value associated with this t-value. Since we are testing the hypothesis that σ < 3.3, we are performing a one-tailed test.

Using the t-distribution and the degrees of freedom (df = n - 1), we can find the P-value associated with the t-value of -1.252. Consulting a t-distribution table or using statistical software, we find that the P-value is approximately 0.114.

Finally, based on the P-value, we can draw the correct conclusion:

The P-value of 0.114 is not significant (greater than the usual significance level of 0.05) and does not provide strong evidence to reject the null hypothesis that σ = 3.3. Therefore, the correct conclusion is:

a. The P-value 0.114 is not significant and so does not strongly suggest that σ < 3.3.

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Answer + explanation:

Part 1: First, find the area of one triangle using the formula base * height / 2. You have base = 10 and height = 7, so area = 7 * 10 /2 = 70/2 = 35. Since you're finding the combined area of 4, you have to do 35 * 4 = 140.

Part 2: To do this, find the side length of the square. Looking at the picture, you see that all you have to do is 10 + 7 = 17 to find one side. Then, to find the area do 17 * 17 = 289.

Part 3: To find the area of the small square, all you do is area of the large square - combined area of 4 small triangles, so 289 - 140 = 149.

Part 4: a^2 = 7 * 7 = 49. Then, b^2 = 10 * 10 = 100. Adding them together, you get 100 + 49 = 149.

Part 5: Since you already have the a^2 + b^2 part, all you need to do is find what c^2 is. You can see in the picture that c^2 equals the area of the small square, which you found in part 3. c^2 = 149. Then, you have 149 and 149, which are equal so the answer is =.

For Z/6Z and Z/7Z, the multiplication tables are 1-5 and 0 and 1-6 and 0 correspondingly. The elements 1, 2, 3, 4, 5 and 1, 3, 5, 6 respectively have multiplicative inverses.

The multiplication table is as follows for the group Z/6Z:

1 * 1 = 1\s2 * 1 = 2\s3 * 1 = 3\s4 * 1 = 4\s5 * 1 = 5\s0 * 1 = 0

1, 2, 3, 4, and 5 are the elements with multiplicative inverses.

The multiplication table is as follows for the group Z/7Z:

1 * 1 = 1\s2 * 1 = 2\s3 * 1 = 3\s4 * 1 = 4

5 * 1 = 5\s6 * 1 = 6\s0 * 1 = 0

1, 3, 5, and 6 are the elements with multiplicative inverses.

The group members in a group Z/NZ are the remainders after dividing the integers by N. For instance, the elements in Z/6Z are 0, 1, 2, 3, 4, and 5. The product of each element is shown in the multiplication table.by itself when multiplied. The multiplication table for Z/6Z is as follows: 0 * 1 = 0; 1 * 1 = 1, 2 * 1 = 2, 3 * 1 = 3, 4 * 1 = 4, 5 * 1 = 5. 1, 2, 3, 4, and 5 are the elements with multiplicative inverses. The multiplication table is also the same for Z/7Z: 1 * 1 = 1, 2 * 1 = 2, 3 * 1 = 3, 4 * 1 = 5, 6 * 1 = 6, 0 * 1 = 0. 1, 3, 5, and 6 are the elements with multiplicative inverses.

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Answer:

x = 8

Step-by-step explanation:

x-7=1

Add 7 to each side

x-7+7 = 1+7

x = 8

Answer:

x= 8

Step-by-step explanation:

collect like terms

x= 7+1

x= 8

To organize the provided data, we can create a table comparing the samples of couples with children (sample 1) and childless couples (sample 2) as follows:

Sample Sample Size Sample Mean Sample Standard Deviation

1 78 51.1 4.7

2 94 45.2 12.1

In this table, we have listed the sample number (1 and 2), the sample size (number of couples in each group), the sample mean (average Marital Satisfaction Inventory score), and the sample standard deviation (measure of variability in the scores) for each group. This organization allows us to compare the data and proceed with hypothesis testing on the difference in population means between the two groups.

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