Write a compound inequality that represents the following phrase.
all real numbers that are between -4 and 8

A. -4< n<8 B.-4< n< 8
........._................._.. _
C.-4<n< 8 D.-4<n<8
............_​

The number of oranges and the number of mangoes that she bought will be 20 and 5.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

A woman saw oranges and mangoes at the market.

She bought some oranges at 35 cents each and some mangoes at $1.00 each.

If she bought a total of 25 fruits which had a total cost of $12.00.

Let x be the number of oranges and y be the number of mangoes.

Then the equations will be

       x + y = 25  ...1

0.35x + y = 12  ...2

By solving equations 1 and 2, we have

x = 20 and y = 5

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Answer:

Time spent on volleyball coaching = 3 hours

Time spent on soccer coaching  = 7 hours

Step-by-step explanation:

    a)  Total hours = 10 hours

                 v + s = 10 --------------(I)

                  Twice of volleyball practice = 2*v = 2v

                   1 hour more than '2v' = 2v + a

                       s = 2v + 1 -------------------(II)

b) Solve:

          Substitute s = 2v + 1 in equation (I)

              v + 2v + 1 = 10

Combine like terms,

                         3v + 1 = 10

Subtract 1 from both sides,

                                3v = 10 - 1

                                3v = 9

Divide both sides by 3,

                                   v = 9 ÷ 3

                                   \(\boxed{\bf v = 3}\)

substitute v= 3 in equation (II),

                       s = 2*3 + 1

                          = 6 + 1

                       \(\boxed{\bf s = 7}\)

Time spent on volleyball coaching = 3 hours

Time spent on soccer coaching  = 7 hours

The equation in Standard Form. b) Identify P(x). c) Identify Q(x). d) Evaluate Integrating Factor. e) Solve for the general solution are given below:

a) Rewrite the equation in Standard Form:

To rewrite the equation in standard form, divide the entire equation by x⁴:

dy/dx + 2y = e^(-x)

b) Identify P(x):

In standard form, the coefficient of the y term is 2, which is the function P(x). So, P(x) = 2.

c) Identify Q(x):

In standard form, the right-hand side of the equation is e^(-x), which is the function Q(x). So, Q(x) = e^(-x).

d) Evaluate the Integrating Factor:

The integrating factor (IF) is given by the exponential of the integral of P(x) with respect to x. In this case, the integrating factor is:

IF = e^(∫P(x)dx) = e^(∫2dx) = e^(2x)

e) Solve for the general solution:

Multiply the entire equation by the integrating factor (IF = e^(2x)):

e^(2x) * (dy/dx + 2y) = e^(2x) * e^(-x)

Simplify the left side by applying the product rule of exponents:

(e^(2x) * dy/dx) + 2y * e^(2x) = e^(x)

Notice that the left side is now in the form (f(x)g(x))' = f'(x)g(x) + f(x)g'(x), where f(x) = y and g(x) = e^(2x). Apply the product rule and simplify further:

(d/dx)(y * e^(2x)) = e^(x)

Integrate both sides with respect to x:

∫(d/dx)(y * e^(2x)) dx = ∫e^(x) dx

Integrating the left side gives:

y * e^(2x) = ∫e^(x) dx = e^(x) + C₁, where C₁ is the constant of integration.

Finally, solve for y by dividing both sides by e^(2x):

y = (e^(x) + C₁) / e^(2x)

This is the general solution to the given differential equation using the Integrating Factor Method.

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The answer is option B. 303.75, points come from payment history and credit mix.

To find out how many points come from Payment History, we need to multiply the borrower's credit score of 675 by the percentage for Payment History:
675 x 0.35 = 236.25
So, 236.25 points come from Payment History.

According to the given information, payment history and credit mix account for a total of 45% (35% + 10%) of a borrower's FICO score.

To find out how many points come from these categories for a borrower with a credit score of 675, we need to calculate 45% of 675.

0.45 x 675 = 303.75

Therefore,

303.75 points come from payment history and credit mix for a borrower with a credit score of 675.

To find out how many points come from Credit Mix, we need to multiply the borrower's credit score of 675 by the percentage for Credit Mix:
675 x 0.10 = 67.5
So, 67.5 points come from Credit Mix.
Adding these two amounts together, we get:
236.25 + 67.5 = 303.75

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All direct proportional graphs go through the origin (0,0). So this is where one point could go. The second point is found by going up 5 units and then to the right 3 units to get to (3,5)

The equation of this line is y = (5/3)x

Answer:

I hope it helps u..........

The total area of water that will that sprayed by four nozzles is π v⁴/g² total length of the fountain side that well get wet.

Let us consider the velocity of water, which is v m/sec, and the g acceleration due to gravity.

The time of flight of projectiles is 2vcosx/g.

horizontal speed (r) = v cos x

horizontal range R = uₓT = v²(2 sin x cosx)/g v²sin2x /g

maximum horizontal range is sin2x = 90° => 2x = 90° => x = 45°

So, maximum range = v² sin 90° /g = v² /g

Area of water that will be sprayed by four nozzles when the fountain is on and fountain's side get wet π × (Rₘₐₓ)²

=> Aₘₐₓ = π v⁴ / g²

complete question:

A water fountain sprinkles water all around it. If the speed of water coming out of the fountain is v, find the total area around the fountain that gets wet, in terms of π, g and v.

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Answer:

5 no = 1 .................m

Answer:

Mr. A initially paid approximately N8000 for the land.

Step-by-step explanation:

Step 1: Let's assume Mr. A initially purchased the land for a certain amount, which we'll call "x" in currency units.

Step 2: Mr. A sold the land to Mr. B at a profit of 10%. This means Mr. A sold the land for 110% of the amount he paid (1 + 10/100 = 1.10). Therefore, Mr. A received 1.10x currency units from Mr. B.

Step 3: Mr. B sold the land to Mr. C at a gain of 5%. This means Mr. B sold the land for 105% of the amount he paid (1 + 5/100 = 1.05). Therefore, Mr. B received 1.05 * (1.10x) currency units from Mr. C.

Step 4: According to the given information, Mr. C paid N1240 more for the land than Mr. A paid. This means the difference between what Mr. C paid and what Mr. A paid is N1240. So we have the equation: 1.05 * (1.10x) - x = N1240

Step 5: Simplifying the equation: 1.155x - x = N1240

Step 6: Solving for x: 0.155x = N1240

x = N1240 / 0.155

x ≈ N8000

Therefore, in conclusion, Mr. A initially paid approximately N8000 for the land.

Answer:

Step-by-step explanation:

2 x squared plus 16 x plus 30 all over quantity 5 x squared plus 13 x minus 6

Correct option is option 3.

In the graph of the simple linear regression equation, the parameter ß1 is the slope of the true regression line.

The simple linear regression equation represents a linear relationship between a dependent variable and an independent variable. It can be written as y = ß0 + ß1x, where ß0 is the intercept and ß1 is the slope of the regression line.

The slope (ß1) determines the rate of change in the dependent variable (y) for each unit change in the independent variable (x). It represents the steepness or inclination of the regression line. The sign of ß1 indicates whether the line has a positive or negative slope, indicating the direction of the relationship between the variables.

Thus, in the context of the simple linear regression equation, the parameter ß1 is the slope of the true regression line.

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Answer:

7.2 miles

Step-by-step explanation:

Janet hikes a trail 3.6 miles long each day. Considering the forth and back path, she trails 2*3.6= 7.2 miles.

Since she has hiked 5 days in the past week, she has hiked 5*7.2 = 36 miles.

The question does not specify if the path back is to be considered. If not, then the total distance traveled is 3.6*5 = 18 miles.

Answer:

x = -3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

To find the value of x, you need to get rid of parentheses! So, 4*x=4x. 6*4=24. Now we have, -2x+6=4x+24. Then we want to get all the x on one side, and the other numbers on the other side. We can add -2x to make it 0, but to make it equal, you need to add it to the other side. So, 4x+2x=6x. You can subtract 24 too! After we do all that, we get: -18=6x. To get x, we need to divide by 6. 6x/6=x. -18/6=-3.

hope this helps you .

After considering all the given data we conclude that total sales of child tickets sold that day is 29, under the condition that thursday, twice as many adult tickets as child tickets were sold.

Let us consider the number of child tickets sold as `c` and the number of adult tickets sold as `a`.

It is  known that the child admission is $6.30 and adult admission is $9.60. The day concerning the data was Tuesday, in which adult tickets twice as many as child tickets were sold, resulting in a total sales of $739.50.

We can form two algebraic expressions  based on this information:

a = 2c  (adult tickets twice as many as child tickets were sold)

6.3c + 9.6a = 739.5  (total sales of $739.50)

Staging the first equation into the second equation gives:

6.3c + 9.6(2c) = 739.5

6.3c + 19.2c = 739.5

25.5c = 739.5

c = 29

Hence, child tickets sold on that day were 29 .

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The complete question is

At the city museum, child admission is 6.30 and adult admission is 9.60. On tuesday, twice as many adult tickets as child tickets were sold, for a total sales of 739.50. How many child tickets were sold that day?

Answer:122° I think

Step-by-step explanation:

58+58=116

360-116=244

244/2=122°

Answer:

Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this

Step-by-step explanation:

Answer: With a 95 percent confidence interval, you have a 5 percent chance of being wrong. With a 90 percent confidence interval, you have a 10 percent chance of being wrong. A 99 percent confidence interval would be wider than a 95 percent confidence interval (for example, plus or minus 4.5 percent instead of 3.5 percent)

Step-by-step explanation:

The image of the point after the transformation of 3 units on the x-axis and – 3 units on the y-axis is (0, 0)

Given that the initial location of the point is

Point S = (-3, 3)

Next, we have the translation rule to be

3 units on the x-axis and – 3 units on the y-axis

Mathematically this can be expressed as

(x + 3, y - 3)

By substitution, we have

Image of point = (-3 + 3, 3 - 3)

Evaluate

Image of point = (0, 0)

Hence, the image is (0, 0)

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Step-by-step explanation:

Let x = the number of years since the first year and let y = the total number of plants.

Roses: y = 5 + 2x

Tulips: y = 20 – 3x

You can use elimination to solve.

y = 5 + 2x

(-)y = 20 – 3x

0 = -15 + 5x

15 = 5x

3 = x

This means that 3 years after the first year, the number of rose bushes equals the number of tulip plants.

The graphs appear to

intersect at (3, 11) which verifies that x=3

The number of rose bushes will equal the number of tulip plants after 3 years

The given parameters are:

Rose bushes

Tulip bushes

So, the number of rose bushes and tulip bushes each year is:

y = 5 + 2x

y = 20 - 3x

From the graph of both equations, we have:

(x,y) = (3,11)

Hence, the number of rose bushes will equal the number of tulip plants after 3 years

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1. The mean of a dataset represents the average value of the entire set of numbers. It is calculated by adding up all the values and dividing by the number of values in the dataset. Knowing the standard deviation of a dataset adds information about how much the values deviate from the mean.

A high standard deviation indicates that the values are more spread out from the mean, while a low standard deviation indicates that the values are closer to the mean. It can help to identify outliers and the overall variability of the dataset.

2. A p-value is a statistical measure that helps to determine whether the null hypothesis (there is no significant difference between two groups) is true or false.

It is the probability of obtaining a result as extreme or more extreme than the observed result, assuming that the null hypothesis is true. A p-value of less than 0.05 (typically) is considered statistically significant, which means that there is strong evidence to reject the null hypothesis and accept the alternative hypothesis (there is a significant difference between the two groups).

3. Alpha is the level of significance that is set to determine whether a p-value is statistically significant or not. It is typically set at 0.05, which means that if the p-value is less than 0.05, then the result is considered statistically significant and the null hypothesis is rejected.

If the p-value is greater than 0.05, then the result is not statistically significant and the null hypothesis cannot be rejected. In summary, alpha and p-value are related because alpha sets the threshold for determining whether a p-value is statistically significant or not.

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Answer:

1500 grams

Step-by-step explanation:

Answer:

Explanation:

Here, we want to get the diameter of one of the balls

Firstly, we need to get the size of one of the balls

We can get this by dividing the total volume of the three balls by 3

Mathematically, we have this as:

To get the diameter of one of the balls, we can get the radius first and multiply the value by 2 since the diameter is 2 times the radius length

A ball is spherical in shape

The volume of a sphere is:

Thus:

To get the diameter, we simply multiply this by 2

Answer:

(3,4)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2

(2+4)/2 = 6/2 =3

To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2

(5+3/2 = 8/2 =4

The midpoint is (3,4)

Answer:

Hey there!

Using the midpoint formula we find the midpoint to be: (3, 4)

Let me know if this helps :)

The study described is a retrospective study.

A retrospective study, also known as a historical study, involves the collection and analysis of data from past events or behaviors. In this case, the study involves collecting and analyzing data on the different types of shoe designs by the designer Calvin Klein over the years from 1987 to 2014. The data has already been collected in the past, and the researcher is analyzing it to draw conclusions or make inferences about the shoe designs.

In contrast, a cross-sectional study involves the collection of data from a population at a specific point in time, while a prospective study (also known as a longitudinal study) involves the collection of data over a period of time to observe changes or trends in a population. An experiment involves the manipulation of one or more variables to observe their effect on a dependent variable, with the aim of establishing cause-and-effect relationships.

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Answer:

Step-by-step explanation:DefinitionMultiplicative Inverse PropertyMultiplication Inverse of FractionMultiplicative Inverse ModuloMultiplicative Inverse of Complex NumbersSolved Examples

The multiplicative inverse of a number for any n is simply 1/n. It is denoted as: It is also called as the reciprocal of a number and 1 is called the multiplicative identity. Finding the multiplicative inverse of natural numbersis easy, but it is difficult for complex and real numbers.

The point which is √2 distance away from the point (-1, 5) is (-1, 5 - √2).

In order to find a point that is √2 away from (-1, 5), we need to find a point that is at a distance of √2 from (-1, 5). Let the point we need to find be (x, y),

Using the distance formula, we can set up the following equation:

√[(x - (-1))² + (y - 5)²] = √2,

Simplifying this equation,

We get,

(x + 1)² + (y - 5)² = 2,

This equation represents a circle with center (-1, 5) and radius √2.

So, one point that satisfies this equation is (-1, 5 - √2), which is √2 away from (-1, 5).

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Answer:

All are right answer

But one is not (C)

There will no cot