A school orders 25 desks for each classroom,
plus 30 spare desks. The total number ordered
as a function of the number of classrooms is shown
in the graph.
Write the equation represented by the graph

The absolute value of the difference between 4500 m above sea level and 600 m below sea level is 5100 m.

To find the difference in absolute value, we need to calculate the absolute value of the difference between the two values provided. The two values we have are 4500 m above sea level and 600 m below sea level.

To calculate the difference between the two, we need to subtract the lower value from the higher value. In this case, the higher value is 4500 m and the lower value is -600 m.

So, the difference would be:

4500 - (-600) = 4500 + 600

= 5100

To calculate the absolute value of this difference, we simply take the positive value of it, regardless of whether the result of the subtraction was positive or negative.

Therefore, the absolute value of the difference is 5100 m.

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Answer:

Zero lines of symmetry

Step-by-step explanation:

Using the quadratic formula to find the solutions, we get x = (-10 ± √40)/6

From the question, we have the following parameters that can be used in our computation:

3x² + 10x + 5=0

Using the quadratic formula, we have

x = (-10 ± √(10² - 4 * 3 * 5))/(2 * 3)

Evaluate the products and the exponents

So, we have

x = (-10 ± √40)/6

Hence, the solution is x = (-10 ± √40)/6

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Answer:

-7.5 + 2.5i

Step-by-step explanation:

To find the difference in the number of students with the most and least numbers of pets, we need to look at the histogram and identify the highest and lowest bars.

The histogram shows the number of students in grade five who have one or more pets, so we can assume that each bar represents a different number of pets.
Let's say the histogram shows bars for 0, 1, 2, 3, 4, and 5 pets. If the highest bar represents 12 students with 2 pets and the lowest bar represents 2 students with 0 pets, then the difference would be 10 students (12-2).
So, the answer to the question depends on the specific histogram provided. However, we can use the information in the histogram to determine the difference in the number of students with the most and least numbers of pets.

To determine the difference in the number of students with the most and least numbers of pets, please follow these steps:
1. Examine the histogram, which shows the number of students in grade five who have one or more pets.
2. Identify the column representing the most number of pets (highest bar).
3. Identify the column representing the least number of pets (lowest bar).
4. Note the number of students associated with each column (the height of the bars).
5. Calculate the difference by subtracting the number of students with the least number of pets from the number of students with the most number of pets.
Your answer: The difference in the number of students with the most and least numbers of pets in the histogram is calculated by following the steps above.

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Answer:

4000.9

Step-by-step explanation:

Answer:

f(x) = x⁴ - 13x³ + 39x² + 13x - 40

Step-by-step explanation:

If the zeroes are 8, 5, 1 and -1, then x = 8, x = 5, x = 1, x = -1

⇒ x - 8 = 0

⇒ x - 5 = 0

⇒ x - 1 = 0

⇒ x + 1 = 0

⇒ f(x) = (x - 8)(x - 5)(x - 1)(x + 1)

⇒ f(x) = x⁴ - 13x³ + 39x² + 13x - 40

Answer: -3/10

Step-by-step explanation: Multiply 3/5 in -2 3/5 by 2/2. So, that would equal -2 6/10. -2 6/10 - -2 3/10 = -3/10.

Answer:

6 /19

≅ 0.3157895

Step-by-step explanation:

Answer:

6/19

Step-by-step explanation:

This is your answer because first you have to make the to mixed fractions to improper fraction 6/5 and 22/5 are your improper fractions from there you divide them and that's how you get your answer

Hope this helps:)

Pls mark me brainlist

This code will print the value of the variable 'x', which is '1'. The 'printline()' function is used to display the value of a variable on the output screen.

Looking into the code we can see that:
1. The variable 'y' is declared and initialized with a value of '1'.
2. The variable 'x' is declared and initialized with a value of '1' as well.
3. The 'printline()' function is called and the variable 'x' is passed as an argument.
4. The 'printline()' function prints the value of 'x' on the output screen.

Since the value of 'x' is '1', the code will print '1' as the output.

In summary, the code will print the value of the variable 'x', which is '1'.

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Answer: the question does not make sense, there would still be 10 shells

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

the average is calculated as

average = \(\frac{sum}{count}\)

given that the average of both sets of data are equal then

\(\frac{4+x}{2}\) = \(\frac{2+8+x}{3}\) ( cross- multiply )

3(4 + x) = 2(10 + x) ← distribute parenthesis on both sides

12 + 3x = 20 + 2x ( subtract 2x from both sides )

12 + x = 20 ( subtract 12 from both sides )

x = 8

Answer:

615.44m

hope this helps

have a good day :)

Step-by-step explanation:

The definite integral is approximately 0.121548.

We can use the power series expansion of arctan(x) to approximate the given integral.

Recall that the power series expansion of arctan(x) is:

arctan(x) = x - (1/3)x³ + (1/5)x⁵ - (1/7)x⁷ + ...

We can substitute x/2 into the power series to get:

arctan(x/2) = (x/2) - (1/3)(x/2)³ + (1/5)(x/2)⁵ - (1/7)(x/2)⁷ + ...

Now we can integrate term by term to get:

∫[0,1/2] arctan(x/2)dx

= [(1/2)x² - (1/18)x⁴ + (1/50)x⁶ - (1/98)x⁸ + ...] evaluated from 0 to 1/2

= (1/2)(1/2)² - (1/18)(1/2)⁴ + (1/50)(1/2)⁶ - (1/98)(1/2)⁸ + ...

= 0.122078...

To approximate the integral to six decimal places, we need to sum up enough terms in the power series to ensure that the absolute value of the next term is less than or equal to 0.000001.

We can use a calculator or a computer program to find that the ninth term of the power series is -0.000002378. Therefore, the sum of the first eight terms gives an approximation of the integral to six decimal places:

0.122078 - 0.000523 - 0.000007 + 0.000000 + ...

≈ 0.121548

Therefore, the definite integral is approximately 0.121548 to six decimal places.

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Answer:

The area of a rectangle yoga mat is {1(2/25)}m².

Step-by-step explanation:

In figure, we are giving with rectangle shape yoga mat that measures length (L) = {1(4/3)} and width (W) = (3/5)m. And here we need to find the area of the yoga mat.

Now,

As we know that area of the rectangle = {Length (l) * width (w) }

Therefore, according to give question

Let's

Finding area of rectangle mat = (Length * Width)

= (l*w)

= [(3/5)m * {1(4/5)m}]

Write meter(m) outside of the brackets as m² because it's get multiplied.

= [(3/5) * {1(4/5)}]m²

Convert {1(4/5)} mixed fraction into proper fraction.

= [(3/5) * {(5+4)/5}]m²

Add the numerator number (5+4) to get 9.

= {(3/5) * (9/5)}m²

= {(3*9)/(5*5)}m²

Multiply the numerator numbers (3*9) to get 27.

= {27/(5*5)}m²

Again multiply the numerator numbers (5*5) to get 25.

= (27/25)}m²

Write the obtained answer in the form of mixed fraction

= {1(2/25)}m²

Answer: Hence, the area of a rectangle yoga mat is {1(2/25)}m²

Please let me know if you have any other questions.

a) The equation of the regression Line is; y = -1.189 +  0.0021x

b) What the y-intercept of the regression line indicates is that regression line is only in the area with y > 0.

c) The slope of the regression line predicts an increase of 0.0021 in GPA score.

d)  The GPA of a freshman who scored a combined 1400 is; 1.751

e) The SAT scores are effective in predicting academic success during the first semester of the freshman year at this college.

f) Positive

a) Let SAT be represented as x and let GPA be represented as y.

Now, formula for Covariance is;

Covariance = r(s_x * s_y)

We are given;

correlation; r = 0.47

s_x = 123

s_y = 0.56

Cov = 0.47 * 123 * 0.56 = 20.81

Now, the equation is;

y = B₀ + B₁x

Where;

B₁ = cov/var(x) = cov/sₓ²

B₁ = 20.81/(123 * 123)

B₁ = 0.0021

B₀ = 2.66 - (1.833 * 0.0021)

B₀ = -1.189

Thus, the equation is;

y = -1.189 +  0.0021x

b) GPA can't be negative. So it is a meaningless value. Thus, the regression line is only in the area with y > 0.

c) For each additional SAT score, the model predicts an increase of 0.0021 in GPA score.

d) To predict the GPA of a freshman who scored a combined 1400, it is the formula;

y(1400) = −1.189 + (0.0021 * 1400)

y(1400) = 1.751

e) r² = 0.472

r = 0.2209.

SAT scores is not an effective predictor of college GPA, There are only 22.09% of variability in GPA can be explained by the model.

f) Positive, it means GPA is higher than model predicts

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Answer:

Angles and side lengths stay the same.

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

beacuse when you mutyply 30 by 60 you find out the answer

Answer:

a

Step-by-step explanation:

Answer:

\(1\frac{87}{100}\)

Step-by-step explanation:

A decimal is another way of representing a fraction such that the denominator of the fraction is a power of (10).

In the number (1.87), the number goes two places behind the decimal point, which means that the denominator of the fraction is (100), and the numerator is the given number excluding the decimal point.

\(\frac{187}{100}\)

Simplify, write as a mixed number,

\(1\frac{87}{100}\)

Answer

there so many steps in this one but it is okay step number 1 is spell out the word multiply and your answer is multiply

Ansienidq

scsunacu

Step-by-step explanation:

The answer is correct, we can plot both triangles on a Coordinate plane and visually inspect the result. If we plot triangle ABC with vertices A(-3, 3), B(0, 4), and C(-3, 0), and then plot the image triangle A'B'C' with vertices A'(-3, -1), B'(0, 0), and C'(-3, -4), we can see that the image is a translation of the original triangle down by 4 units.

To determine the coordinates of the vertices of the image of triangle ABC after being translated 4 units down, we need to subtract 4 from the y-coordinates of each vertex. This is because a translation is a type of transformation that moves each point of a figure a certain distance in a certain direction.

So, starting with the preimage of triangle ABC with vertices at A(-3, 3), B(0, 4), and C(-3, 0), we can find the image by subtracting 4 from the y-coordinates:

A'(-3, 3 - 4) = A'(-3, -1)

B'(0, 4 - 4) = B'(0, 0)

C'(-3, 0 - 4) = C'(-3, -4)

Therefore, the coordinates of the vertices for the image after the translation are A'(-3, -1), B'(0, 0), and C'(-3, -4).

So, the correct option is A) A′(−3, −1), B′(0, 0), C′(−3, −4).

To check if the answer is correct, we can plot both triangles on a coordinate plane and visually inspect the result. If we plot triangle ABC with vertices A(-3, 3), B(0, 4), and C(-3, 0), and then plot the image triangle A'B'C' with vertices A'(-3, -1), B'(0, 0), and C'(-3, -4), we can see that the image is a translation of the original triangle down by 4 units.

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Answer: C. 12

Step-by-step explanation:

Answer:

Greatest common factor (GCF) of 24, 36, 48 is 12.

Step-by-step explanation:

i searched it up;)

Answer:

- 2

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

\(\frac{f(b)-f(a)}{b-a}\)

Here [ a, b ] = [ - 4, 3 ] , then

f(b) = f(3) = 3² - 3 - 8 = 9 - 3 - 8 = - 2

f(a) = f(- 4) = (- 4)² - (- 4) - 8 = 16 + 4 - 8 = 12 , tus

average rate of change = \(\frac{-2-12}{3-(-4)}\) = \(\frac{-14}{7}\) = - 2

In conclusion, the determinant of M being non-zero only guarantees that the equation has a unique solution, but it does not guarantee that it has a solution for every value of A.
If the determinant of M is not equal to zero, then A can be solved in terms of X or X can be solved in terms of A. This is because the matrix M is invertible when its determinant is non-zero. In other words, the matrix M has a unique inverse.
Here are the statements that are correct:
- Given any X, there is one and only one A which will satisfy the equation. This is because when the determinant of M is non-zero, the matrix M is invertible, and hence the equation can be uniquely solved for A in terms of X or for X in terms of A.
- Some values of A (such as A=0) will allow more than one X to satisfy the equation. This is because the determinant of M being non-zero only guarantees that the equation has a unique solution, but it does not guarantee that it has a solution for every value of A.
- Some values of X will have more than one value of A that satisfy the equation. This is true for any equation that has multiple solutions, regardless of the determinant of M.
- Some values of A will have no values of X that satisfy the equation. This is true for any equation that has no solution, regardless of the determinant of M.
- There is no value of X which satisfies the equation when A=0. This is because when A=0, the equation reduces to 0=0, which is true for any value of X.

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The solutions for the cube function are x=64 or x= -64.

The main power rules are presented below.

The question gives the equation \(x^{2/3}\)=16, you can rewrite it as: \(\sqrt[3]{x^2}\)=16.

For eliminating the cubic root, you should apply the power 3 ib both sides. See:

\((\sqrt[3]{x^2})^3\)= 16³

x²= 4096

Finally, you have x=64 or x=-64

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Answer:5

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Alex will run 16 laps in the time it take for Carlos to run 12 laps.

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.

a × b means that a is added to itself b times or b is added to itself a times.

Given are the values related to the number of laps run by Alex and Carlos.

The number of laps run by Alex is forming the multiples of 4 or 4x.

Number of laps run by Carlos is forming the multiples of 3 or 3x.

When x = 1,

Alex : 4 × 1 = 4

Carlos : 3 × 1 = 3

When x = 2,

Alex : 4 × 2 = 8

Carlos : 3 × 2 = 6

When x = 3,

Alex : 4 × 3 = 12

Carlos : 3 × 3 = 9

When x = 4,

Alex : 4 × 4 = 16

Carlos : 3 × 4 = 12

Hence Alex ran 16 laps in the same time for which Carlos ran 12 laps.

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