what are 3 numbers that equal 18.75 with a range of 1.75 and a median of 6

Using synthetic division, the value of h(-4) is - 24.

1. Set up the synthetic division grid with the divisor (-4) in the top left corner and the coefficients of the polynomial in the top row.
-4 | 2   0   -25   4

2. Bring down the first coefficient to the bottom row.
-4 | 2   0   -25   4
   |                      
     2

3. Multiply the divisor (-4) by the first number in the bottom row (2) and put the result (-8) in the second column of the top row.
-4 | 2   0   -25   4
   |     -8            
     2

4. Add the numbers in the second column (0 and -8) and put the result (-8) in the second column of the bottom row.
-4 | 2   0   -25   4
   |     -8            
     2  -8

5. Repeat steps 3 and 4 for the remaining columns.
-4 | 2   0   -25   4
   |     -8     32  -28    
     2  -8      7   -24

6. The last number in the bottom row (-24) is the remainder and the value of h(-4). The other numbers in the bottom row (2, -8, 7) are the coefficients of the quotient polynomial.

Therefore, h(-4) = 24.

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The answer should be 10 1/2 ft

Here is my work below:

A researcher will use a regression equation to predict the relationship between the GPAS (y variable) and Hours of Studying per week (x-variable) for 100 students. The regression equation will try to predict the GPA for students who study 10 hours per week by estimating the relationship between the two variables. The regression equation is a mathematical model that is used to predict the value of one variable based on the value of another variable.

In this case, the regression equation will try to predict the GPA for students who study 10 hours per week based on the relationship between GPAS and Hours of Studying per week.

The goal of the regression equation is to provide an accurate prediction of the GPA for students who study 10 hours per week, based on the data collected by the researcher.

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At least 75% of healthy adults have body temperatures within the range of 96.99°F to 99.67°F.

What is standard deviations?

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

Chebyshev's theorem states that for any distribution (not just the normal distribution), regardless of shape, at least 1 - 1/k^2 of the data values will be within k standard deviations of the mean, where k is any number greater than 1.

In this case, we want to know the percentage of healthy adults with body temperatures that are within 2 standard deviations of the mean. So we need to use Chebyshev's theorem with k = 2.

At least 1 - 1/2^2 = 1 - 1/4 = 0.75, or 75%, of the healthy adults have body temperatures within 2 standard deviations of the mean.

To find the minimum and maximum possible body temperatures that are within 2 standard deviations of the mean, we can use the formula:

Minimum = Mean - k * Standard deviation

Maximum = Mean + k * Standard deviation

Plugging in the values for this problem, we get:

Minimum = 98.33 - 2 * 0.67 = 96.99°F

Maximum = 98.33 + 2 * 0.67 = 99.67°F

Therefore, we can say that at least 75% of healthy adults have body temperatures within the range of 96.99°F to 99.67°F.

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The approximate value of x to the nearest tenth of a degree is 36.9 degrees.

To find x to the nearest tenth of a degree, we can use trigonometric ratios for right triangles. First, we need to determine which trigonometric ratio to use based on the given information.

If we are given the opposite side and the adjacent side of the right triangle, we can use the tangent ratio:

tan(x) = opposite/adjacent

If we are given the opposite side and the hypotenuse, we can use the sine ratio:

sin(x) = opposite/hypotenuse

If we are given the adjacent side and the hypotenuse, we can use the cosine ratio:

cos(x) = adjacent/hypotenuse

Once we have determined the appropriate trigonometric ratio, we can plug in the given values and solve for x. To find x to the nearest tenth of a degree, we can use a calculator to find the approximate value of x and then round to the nearest tenth.

For example, if we are given a right triangle with an opposite side of 3 and an adjacent side of 4, we can use the tangent ratio to find x:

tan(x) = 3/4

x = tan^-1(3/4)

Using a calculator, we find that x is approximately 36.87 degrees. To the nearest tenth of a degree, x is approximately 36.9 degrees.

Therefore, the approximate value of x to the nearest tenth of a degree is 36.9 degrees.

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The product of the number and its conjugate is 29.

The complex conjugate of a complex number is the number with the same real part and the opposite sign of the imaginary part. In other words, if a complex number is a + bi, then its complex conjugate is a - bi.

For the given number -5 - 2i:

(a) The complex conjugate is -5 + 2i. This is because the real part is the same (-5) and the imaginary part has the opposite sign (2i instead of -2i).

(b) To determine the product of the number and its conjugate, we simply multiply them together:

(-5 - 2i)(-5 + 2i) = 25 - 10i + 10i - 4i^2

Since i^2 = -1, we can simplify this to:

25 - 4(-1) = 25 + 4 = 29

So the product of the number and its conjugate is 29.

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The equations are y = 5x and y = 3 + x, and the table of values are

x   4    1    0    3    6    2    5   -1    7

y  20  5   0    15   18   10  25   -5  30

x   4    1    0    3    6    2    5   -1    7

y  7    4    3    6     9   5    8   2    10

When A = 20 and C = 0

Here, we have

A = 20 and C = 0

This means that we have the points (4, 20) and (0, 0).

Assuming the table is a linear table, we first need to find the slope of the table using

m = (y2 - y1) / (x2 - x1)

Using the points (4, 20) and (0, 0), we get:

m = (0 - 20) / (0 - 4) = 20/4 = 5

The equation is  then calculated as

y = mx + c

Calculating c, we have

20 = 5 * 4 + c

Evaluate

c = 0

So, the equation is

y = 5x

When the table is completed using the above equation, we have the following table of values

x   4    1    0    3    6    2    5   -1    7

y  20  5   0    15   18   10  25   -5  30

When A = 7 and F = 5

Here, we have

(4, 7) and (2, 5).

In the above, we can see that y is 3 more than x

So, the equation is

y = 3 + x

When the table is completed using the above equation, we have the following table of values

x   4    1    0    3    6    2    5   -1    7

y  7    4    3    6     9   5    8   2    10

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In total, they have 6000 grams of sand.

What are basic arithmetic operations?

The basic arithmetic operations are the four fundamental mathematical operations used to manipulate numerical values. They are addition, subtraction, multiplication, and division.

To solve the problem, we need to know the conversion factor between kilograms and grams, which is 1 kilogram = 1000 grams.

First, we can find out how many grams of sand Lucas has in his bucket. We are given that he has 2 kilograms of sand, so we can use the conversion factor to convert kilograms to grams:

2 kilograms x 1000 grams/kilogram = 2000 grams

Therefore, Lucas has 2000 grams of sand in his bucket.

Next, we can find out how many grams of sand Mac has in his bucket. We are given that he has 4 kilograms of sand, so we can use the conversion factor again:

4 kilograms x 1000 grams/kilogram = 4000 grams

Therefore, Mac has 4000 grams of sand in his bucket.

To find out the total amount of sand they have in grams, we can add the amount of sand each of them has:

2000 grams + 4000 grams = 6000 grams

Therefore, in total, they have 6000 grams of sand.

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The mathematical model for constant of proportionality is given:

1. y = k/x2
2. h = k/s1/2
3. F = kr2/g
4. R = k(T - Te)
5. F = k(m1*m2) / r2

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Answer:

709

Step-by-step explanation:

473 + 236 = 709

The distance between the stop signs is 0.375 miles or roughly 0.6 kilometers.

distance between stop signs = 3 miles / 8

= 0.375 miles

While distance and displacement appear to have the same meaning, they actually have very different definitions and implications. Displacement is the measurement of "how far an object is out of place," whereas distance refers to "how much ground an object has covered during its motion."

Distance is the sum of an object's movements, regardless of direction. The distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.

The scalar quantity known as distance measures "how much ground an object has traversed" while moving.

From the question:

We can use the following calculation to calculate the separation between the stop signs:

distance between stop signs = total distance/number of intervals

There are 8 spaces between the stop signs and a total distance of 3 miles in this instance. As a result, we can determine the separation between the stop signs as:

distance between stop signs = 3 miles / 8

= 0.375 miles

As a result, there are 0.375 miles (or 0.6 kilometers) between each stop sign.

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Answer:108.73

Step-by-step explanation: To get the total sales tax you add box of the taxes together wich gives you 7.75%, then you find the total amount of money he spent, which was 1402.96. Lastly you find 7.75% of 1402.96 which is 108.73

1) The zero vector of the vector space R2 is ⟨0,0⟩.

2) The zero vector of the vector space of 2×2 matrices is [[0,0],[0,0]].

3) The zero vector for the vector space of all functions f:R→R is f(x) = 0.

What is vector space?

A vector space is a mathematical structure consisting of a set of vectors that can be added together and scaled (multiplied) by scalars, such as real numbers, satisfying certain axioms.

The zero vector of the vector space R2 is ⟨0, 0⟩. This is because the zero vector of a vector space is the unique vector which when added to any vector in the space results in that same vector. In R2, the vector ⟨0, 0⟩ has this property, because for any vector ⟨a, b⟩ in R2, ⟨0, 0⟩ + ⟨a, b⟩ = ⟨a, b⟩.

The zero vector of the vector space of 2×2 matrices is [[0,0],[0,0]]. This is because the zero vector of a vector space is the unique matrix which when added to any matrix in the space results in that same matrix. In the space of 2×2 matrices, the matrix [[0,0],[0,0]] has this property, because for any matrix [[a,b],[c,d]] in the space, [[0,0],[0,0]] + [[a,b],[c,d]] = [[a,b],[c,d]].

The zero vector for the vector space of all functions f:R→R is f(x) = 0. This is because the zero vector of a vector space is the unique function which when added to any function in the space results in that same function. In the space of all functions f:R→R, the function f(x) = 0 has this property, because for any function f(x), f(x) + 0 = f(x).

Hence,

1) The zero vector of the vector space R2 is ⟨0,0⟩.

2) The zero vector of the vector space of 2×2 matrices is [[0,0],[0,0]].

3) The zero vector for the vector space of all functions f:R→R is f(x) = 0.

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When the smaller circle has a radius οf 6 cm, the area οf the shaded regiοn is 339.3 cm², rοunded tο the nearest tenth.

The cοllectiοn οf all pοints in a plane that are equally spaced frοm a specific pοint knοwn as the centre is referred tο as a circle in geοmetry. It is usually represented by a clοsed, rοunded curve in twο dimensiοns. The radius is the distance acrοss the centre οf the circle, and the diameter is the distance frοm the centre οf the circle tο any spοt οn the curve. The area encircled by a circle is determined by the fοrmula A = r2, where r is the radius. The circumference οf a circle is alsο referred tο as its edge. Circles are a key idea in geοmetry and have many uses in bοth mathematics and daily living.

given:

We must deduct the area οf the smaller circle frοm the area οf the bigger circle in οrder tο determine the area οf the shaded area.

The bigger circle has a 12 cm radius, sο the fοllοwing is its area:

A = πr² = π(12 cm) (12 cm)

A ≈ 452.39 cm²

The smaller circle has a radius οf 6 centimetres, sο the fοllοwing is its area:

A = πr² = π(6 cm) (6 cm)

A ≈ 113.1 cm²

As a result, the shaded regiοn's size is:

113.1 cm² - 339.3 cm² = 452.39 cm²

When the smaller circle has a radius οf 6 cm, the area οf the shaded regiοn is 339.3 cm², rοunded tο the nearest tenth.

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The correct answer is C. It is significant at the 5% level.

To determine the statistical significance of the slope coefficient, we need to calculate the t-statistic for the slope coefficient and compare it to the critical value for the desired level of significance.

The t-statistic is calculated as:

t = (slope coefficient - hypothesized value) / standard error of the slope coefficient

In this case, the hypothesized value is 0 (no relationship between x and y) and the standard error of the slope coefficient is 0.43. So the t-statistic is:

t = (0.78 - 0) / 0.43 = 1.81

Now we need to compare this t-statistic to the critical value for the desired level of significance. For a two-tailed test with 202 - 2 = 200 degrees of freedom, the critical values are:

- 1.645 for the 10% level
- 1.96 for the 5% level
- 2.576 for the 1% level

Since the t-statistic (1.81) is greater than the critical value for the 10% level (1.645) but less than the critical value for the 5% level (1.96), we can conclude that the slope coefficient is significant at the 10% level but not at the 5% level. Therefore, the correct answer is B. It is significant at the 10% level.

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The x-values that R(x) cannot be are -1, -2, 2, 3, 10, and 1.

R(x) cannot be at x=-1, -2, 2, 3 because these are the values of the function at these points. Additionally, R(x) cannot be at x=10 and x=1 because these are the holes of the function. Therefore, the x-values that R(x) cannot be are -1, -2, 2, 3, 10, and 1.

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Answer:

the answer is "c"! :)

Step-by-step explanation:

Step-by-step explanation:

so, let me retype this.

horizontal asymptote : y = 2

that means lim x going to ±infinity f(x) = 2.

vertical asymptotes :

x = 3

x = -4

that means the function must have these 2 points, where the expression leads to a division by 0 or something similar that would make the result undefined.

we got 4 functions :

A) y = x²/(x² + x - 12)

B) y = x²/(x² - x - 12)

C) y = 2x²/(x² + x - 12)

D) y = 2x²/(x² - x - 12)

so, for which ones we have y = 2 as limit when x goes against + or - infinity ?

that would be C and D.

A and B lead to x²/x² = 1 as limit for gigantic numbers.

C and D lead to 2x²/x² = 2 as limit.

remember, when x gets really, really big, the "±x - 12" part becomes irrelevant.

so, we look at C and D.

which one lead to a division by 0 at x = 3 and x = -4 ?

that would be C.

for x = 3

x² + x - 12 = 3² + 3 - 12 = 9 + 3 - 12 = 12 - 12 = 0

for x = -4

x² + x - 12 = (-4)² - 4 - 12 = 16 - 4 - 12 = 12 - 12 = 0

D with x² - x - 12 would have x = -3 and x = 4 as zeroes.

these are different asymptotes than requested.

so, C is the right answer.

The solution set of the inequality x-15≤6/9 is  x≤47/3.

a relationship between two expressions or values that are not equal to each other is called 'inequality.

The given inequality is x-15≤6/9

x minus fifteen lesser than or equal to six by nine.

x is the variable and minus is the operator,

x-15≤6/9

On the right side the numerator and denominator is divided by 3

x-15≤2/3

Add 15 on both sides

x≤2/3+15

x less than or equal to two by three plus fifteen.

x≤2+3(15)/3

When three is multiplied with fifteen we get 45.

x≤45+2/3

So when forty five and two are added we get 47.

x≤47/3

Hence, the solution set of the inequality x-15≤6/9 is  x≤47/3.

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Complete quesstion,

Find the solution set of the  inequality x-15≤6/9

Answer:

see explanation

Step-by-step explanation:

(a)

• the opposite sides of a rectangle are congruent

then

4x + 1 = 2x + 12

(b)

solving

4x + 1 = 2x + 12 ( subtract 2x from both sides )

2x + 1 = 12 ( subtract 1 from both sides )

2x = 11 ( divide both sides by 2 )

x = 5.5

(c)

the perimeter (P) is the sum of the 4 sides of the rectangle , that is

P = 4x + 1 + x + 2x + 12 + x ( collect like terms )

  = 8x + 13 ( substitute x = 5.5 )

  = 8(5.5) + 13

  = 44 + 13

  = 57

Answer:

a) Because two opposite sides of the rectangle have the same sizes

B)

[tex]x = \frac{11}{2} [/tex]

c)

[tex]57[/tex]

Step-by-step explanation:

b)

[tex]4x + 1 = 2x + 12 \\ 4x - 2x = 12 - 1 \\ 2x = 11 \\ \frac{2x}{2} = \frac{11}{2} \\ x = \frac{11}{2} [/tex]

c) Perimeter

[tex]p = 2(x + y) \\ 2( \frac{11}{2} + 23) \\ 2( \frac{57}{2} ) \\ 57[/tex]

23 comes from

[tex]2x + 12 \\ x = \frac{11}{2} \\ 2( \frac{11}{2} ) + 12 \\ 11 + 12 \\ \\ 23[/tex]

The area of the shaded shape WXZY s equal to 381.4 cm².

Mathematically, the area of a sector can be calculated by using this formula:

Area of sector = θπr²/360

Where:

In order to determine the area of the shaded shape WXZY, we would have to subtract the area of sector OYZ from the area of the sector OWX.

Area of sector OWX = 75 × 3.14 × 32²/360 = 669.87 cm²

Area of sector OYZ = 75 × 3.14 × 21²/360 = 288.49 cm²

Area of shaded shape WXZY = Area of sector OWX - Area of sector OYZ

Area of shaded shape WXZY = 669.87 cm² - 288.49 cm²

Area of shaded shape WXZY = 381.4 cm².

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The solution to the system of equations is (5.56, -4.73).

To solve the system of equations by the addition method, we need to follow these steps:

Step 1: Multiply one or both of the equations by a constant to make the coefficients of one of the variables the same in both equations.
Step 2: Add the two equations together to eliminate one of the variables.
Step 3: Solve for the remaining variable.
Step 4: Substitute the value of the variable back into one of the original equations to find the value of the other variable.

Let's apply these steps to the given system:

-2x - 7y = 22
7x - 4y = -20

Step 1: Multiply the first equation by 7 and the second equation by -2 to make the coefficients of x the same:

-14x - 49y = 154
-14x + 8y = 40

Step 2: Add the two equations together to eliminate x:

-41y = 194

Step 3: Solve for y:

y = 194/(-41)
y = -4.73

Step 4: Substitute the value of y back into one of the original equations to find the value of x:

-2x - 7(-4.73) = 22
-2x + 33.11 = 22
-2x = -11.11
x = 5.56

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Answer:

(x+4)^2=4

Step-by-step explanation:

Answer:

2x-12y

Step-by-step explanation:

This is equivalent to the original fraction--4(1/2x - 3y)

If we were to solve 4(1/2x - 3y), we'd get: 2x-12y.

Meaning, 2x-12y is equivalent to 4(1/2x - 3y).

Total 3 hours of labor were required to fix the computer.

To find the number of hours of labor required to fix the computer, we can use the following equation:

Total cost = Cost of parts + (Cost of labor per hour × Number of hours of labor)

We can rearrange this equation to solve for the number of hours of labor:

Number of hours of labor = (Total cost - Cost of parts) ÷ Cost of labor per hour

Plugging in the given values:

Number of hours of labor = ($190 - $115) ÷ $25

Number of hours of labor = $75 ÷ $25

Number of hours of labor = 3 hr

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Answer / Step-by-step explanation:

In a parallelogram, opposite angles are equal in measure. Therefore, we can add the first two angles together and the last two angles together, and set them equal to each other to form an equation:

2x + 3x = 2y + 3y

Simplifying the equation, we get:

5x = 5y

Dividing both sides by 5, we get:

x = y

This means that the first and third angles are equal in measure, and the second and fourth angles are equal in measure.

Let's call each angle "a" and solve for it.

From the given ratio, we know that:

2x = 2a

3x = 3a

We can use the second equation to In a parallelogram, opposite angles are equal in measure. Therefore, we can add the first two angles together and the last two angles together, and set them equal to each other to form an equation:

2x + 3x = 2y + 3y

Simplifying the equation, we get:

5x = 5y

Dividing both sides by 5, we get:

x = y

This means that the first and third angles are equal in measure, and the second and fourth angles are equal in measure.

Let's call each angle "a" and solve for it.

From the given ratio, we know that:

2x = 2a

3x = 3a

We can use the second equation to solve for x:

3x = 3a

x = a

Substituting x = a into the first equation, we get:

2a = 2a

This confirms that the first and third angles are equal in measure, and the second and fourth angles are equal in measure.

Therefore, each angle in the parallelogram has a measure of:

2x = 2a = 2(180 - 3a) = 360 - 6a

3x = 3a = 3(180 - 2a) = 540 - 6a

Simplifying these expressions, we get:

Each of the first and third angles has a measure of 120 degrees, and each of the second and fourth angles has a measure of 180 - 120 = 60 degrees.

for x:

3x = 3a

x = a

Substituting x = a into the first equation, we get:

2a = 2a

This confirms that the first and third angles are equal in measure, and the second and fourth angles are equal in measure.

Therefore, each angle in the parallelogram has a measure of:

2x = 2a = 2(180 - 3a) = 360 - 6a

3x = 3a = 3(180 - 2a) = 540 - 6a

Simplifying these expressions, we get:

Each of the first and third angles has a measure of 120 degrees, and each of the second and fourth angles has a measure of 180 - 120 = 60 degrees.

Step-by-step explanation:

Toby's loan amount is $450 and the finance charge is $50 every two weeks. He rolls over the loan 4 times.

Total cost = $450 + ($50 x (1 + 4))

Total cost = $450 + ($50 x 5)

Total cost = $450 + $250

Total cost = $700

Therefore, the total cost of Toby's payday loan is $700.

Tabitha's loan amount is $300 and the finance charge is $40 every two weeks. She rolls over the loan 6 times.

Total cost = $300 + ($40 x (1 + 6))

Total cost = $300 + ($40 x 7)

Total cost = $300 + $280

Total cost = $580

Therefore, the total cost of Tabitha's payday loan is $580.

Sariah's loan amount is $500 and the finance charge is $45 every two weeks. She rolls over the loan 7 times.

Total cost = $500 + ($45 x (1 + 7))

Total cost = $500 + ($45 x 8)

Total cost = $500 + $360

Total cost = $860

Therefore, the total cost of Sariah's payday loan is $860

Answer:

#6.

Loan amount = $450

Finance charge = $50 every two weeks

Number of rollovers or renewals = 4

Total Cost = 450 + (50 x (1 + 4))

Total Cost = 450 + 250

Total Cost = $700

The total cost of Toby's loan is $700.

#7.

Loan amount = $300

Finance charge = $40 every two weeks

Number of rollovers or renewals = 6

Total Cost = 300 + (40 x (1 + 6))

Total Cost = 300 + 280

Total Cost = $580

The total cost of Tabitha's loan is $580.

#8.

Loan amount = $500

Finance charge = $45 every two weeks

Number of rollovers or renewals = 7

Total Cost = 500 + (45 x (1 + 7))

Total Cost = 500 + 360

Total Cost = $860

The total cost of Sariah's loan is $860.

The index of consumer prices for Any and all Urban Consumers grew 9.1% in the year that ended in June 2022. The greatest 12-month rise was the all items index's 9.1% growth.

Normally, prices increase with time, however deflation can occur when prices decrease. The index of consumer prices (CPI), which calculates the percent change in the cost of a selection of products and services that families typically use, is the most well-known measure of inflation.

One of the biggest hazards to a strong economy is inflation, which is measured by the CPI. Your level of life will suffer from inflation if your salary doesn't keep up with the rate of price increases.

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Answer:

81.55

Step-by-step explanation:

because 4 twentydollar bills = 80 dollars 1 five-dollar bill = 5.00

80 + 5 = 85 dollars 2 quarts = 50 cents and 1 dime equals 10 cent 50 + 10 = 60 together you have 85.60 when you subtract 4.05 minus 85.60 you get 81.50 cent

Answer:

The answer would be at 11 30 the temperature would be at 3°C