at the beginning of the school year Anderson Middle School had 480 students at the end of the year it had 504 students what is the percent of change in the enrollment ​

Answer:

a

Step-by-step explanation:

Answer:

Hi!

Step-by-step explanation:

1234567890987654211234567890......

Step-by-step explanation:

12345678890098764321

Answer:

6mx^4-7x^4

Step-by-step explanation:

Answer:

32° and 116°

Step-by-step explanation:

An isosceles triangle has two equal angles and the other angle is found by subtracting the sum of the two equivalent angles from 180°.

Since, one of the angles are given in the problem, one of the angles is 32°.

To find the other angle, we subtract the two angles from 180°.

180° - 32° - 32°

116°

The other two angles are: 32° and 116°

Answer:

16 deliveries

Step-by-step explanation:

238 ≤ 10d + 78

160 ≤ 10d

16 ≤ d

Thus, he needs to make at least 16 deliveries to make at least $238 in one day.  Any less than 16 deliveries will cause him to fall short of his goal and any more than 16 deliveries will cause him to exceed his goal.

Answer:

List of the first 1000 perfect squares! ... 25, 5 * 5 . 36, 6 * 6. 49, 7 * 7. 64, 8 * 8. 81, 9 * 9. 100, 10 * 10. 121, 11 * 11. 144, 12 * ... 841, 29 * 29.

Answer:

Step-by-step explanation:

6a. The equation for the graph is y = 2√(x + 5).

6b. The equation for the graph is y = -|x + 1| + 5

In Mathematics and Geometry, the standard form of a square root function can be modeled as follows;

y = a√(x - h) + k

Part 6a.

Next, we would determine value of a as follows;

4 = a√(-1 + 5) + 0

4 = a√4

4 = 2a

a = 2

Therefore, the required square root function is given by;

y = 2√(x + 5)

Part 6b.

Since the line representing the absolute value function has a y-intercept at (0, 4) and vertex at (-1, 5), the absolute value equation for the graph is given by:

y = a|x - h| + k

y = -|x + 1| + 5

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Answer:

she would need 41 dollars and 6 cents

Step-by-step explanation:

The general solution of the matrix equation is determined as x₁ = 3x₄.

x₂ = -x₃ - 4x₄, x₃ = x₃, x₄ = x₄.

The general solution of the matrix is calculated by applying the following method as shown below;

The given matrix equation;

[1   4   4   13]

[2  5   5  14]

The solution of the matrix equation is determined as;

R₂ - 2R₁ = [1   4   4   13]

               [ 0 -3  -3, -12]

From the row operation, the values of x₁, x₂, x₃ and x₄ is determined as;

-3x₂ = 3x₃ + 12x₄

x₂ = -x₃ - 4x₄

x₁ = -4x₂ - 4x₃ - 13x₄

x₁ = -4(-x₃ - 4x₄) -  4x₃ - 13x₄

x₁ = 3x₄.

The general solution;

x₁ = 3x₄.

x₂ = -x₃ - 4x₄

x₃ = x₃

x₄ = x₄

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i don't know  

bla bla bla bla bla bla bla

The three integers are 24, 26 and 28 respectively.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given are three consecutive even integers.

Assume that the integers are -

x, (x + 2), (x + 4)

According to question -

x + x + 2 = x + 4 + 22

2x + 2 = x + 26

x = 24

x + 2 = 26

x + 4 = 28

Therefore, the three integers are 24, 26 and 28 respectively.

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The domain of the composite functions:

a). (f + g)(-2) = 23

b). (f - g) (-2) = 1

c). f(x) - g(x) = x² - 5x - 13

A function is composite when the co- domain of the first mapping is the domain of the second mapping

Given the functions f(x) = x² - 4x and g(x) = x + 13, we shall evaluate the domains of the functions as follows:

a). (f + g)(-2) = (-2)² - 4(-2) + (-2) + 13

(f + g)(-2) = 4 + 8 - 2 + 13

(f + g)(-2) = 23

b). (f - g) (-2) = (-2)² - 4(-2) - (-2) - 13

(f - g)(-2) = 4 + 8 + 2 - 13

(f - g) (-2) = 1

c). f(x) - g(x) = x² - 4x - x - 13

f(x) - g(x) = x² - 5x - 13

Therefore, the domain of the composite functions:

a). (f + g)(-2) = 23

b). (f - g) (-2) = 1

c). f(x) - g(x) = x² - 5x - 13

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Answer:

1, 2 , 5

Step-by-step explanation:

Correct on edge 2020

The multimedia sources that are best for a student writing a research paper on childhood obesity are:

A documentary produced by an association of pediatricians.

A sound bite of doctors at a forum discussing the issue.

A timeline made by the government showing obesity trends.

Obesity is typically caused by overeating and inactivity. If you consume a lot of energy, especially fat and sugars, but don't burn it off through exercise and physical activity, your body will store a lot of it as fat.

Obesity is a complicated condition characterized by an excess of body fat. Obesity is more than simply an aesthetic issue.

Therefore, the correct options are 1, A documentary produced by an association of pediatricians. 2, A sound bite of doctors at a forum discussing the issue, and 5, A timeline made by the government showing obesity trends.

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We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour.

Sample Mean: = (29 + 27 + 34 + 40 + 22 + 28 + 14 + 35 + 26 + 35 + 12 + 30 + 23 + 18 + 11 + 22 + 23 + 33) / 18

= 480 / 18

≈ 26.667

Sample Standard Deviation (s):

= ✓((Σ(29 - 26.667)² + (27 - 26.667)² + ... + (33 - 26.667)²) / (18 - 1))

≈ ✓(319.778 / 17)

≈ ✓(18.81)

≈ 4.336

Confidence level = 99%

Sample Size (n) = 18

Sample Mean = 26.667

Sample Standard Deviation (s) = 4.336

Degrees of Freedom (df) = n - 1 = 18 - 1 = 17

Using a t-table or statistical software, we find that the critical value for a 99% confidence level with 17 degrees of freedom is approximately 2.898.

Margin of Error (E) = 2.898 * (4.336 / ✓18))

≈ 3.748

Confidence Interval = (26.667 - 3.748, 26.667 + 3.748)

= (22.919, 30.415)

We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour. This means that if we were to repeat the study multiple times and construct confidence intervals, approximately 99% of those intervals would contain the true mean healing rate of the population.

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Answer: $15.00

Step-by-step explanation:

$90.00 - $75.00 = $15.00

Customer: "I see that the amount I owe has been reduced from $90.00 to $75.00." Employee: "Yes, the discount has saved you 16.66%."

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given the conversation between the customer and the employee. Therefore, the amount that is been reduced from the customer's bill is,

Amount reduced = $90 - $75 = $15.

Now, the percentage that this saved for the customer is,

Percentage = $15/$90 × 100% = 16.66%

Hence, the blank can be filled with 16.66%.

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The surface area of the sphere, to the nearest whole number, is 1318 cm².

A sphere is simply a three-dimensional geometric object that is perfectly symmetrical in all directions.

The volume of a sphere is expressed as:

Volume =  (4/3)πr³

The surface area of a sphere is expressed as:

SA = 4πr²

Where r is the radius of the sphere and π is the mathematical constant pi.

Given that the volume V is 4500 cm³.

First, we solve for the radius:

Volume =  (4/3)πr³

4500 = (4/3)πr³

4500 × 3 = 4πr³

13500 = 4πr³

r³ = 13500/4π

r = ∛( 13500/4π )

Now that we have the radius, we can calculate the surface area of the sphere using the formula:

SA = 4πr²

Substituting the radius we found:

SA = 4 × π × ∛( 13500/4π )²

SA = 1318 cm²

Therefore, the surface area is approximately 1318 cm².

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Answer:

4000 miles.

Step-by-step explanation:

Divide 6400 by 1.6 to get 4000

Answer:

If we know each miles are 1.6 km, we can do a rule of three to get the length of the river:

1    1.6

X   6400

Now, we know that  = 4000 miles

You can also just divide 6400/ 1.6 as each 1.6 kilometers are one mile

Answer:

15y=-1/3x+5

Step-by-step explanation:

-5x15y=-5x+75

Answer:

Step-by-step explanation:

We need to find the value (f-g)(2), so we need first to substitute 2 into the given functions f(x) and g(x) and then subtract the result of g(2) from f(2).

Here, f(x) = 3x^2 + 1 and g(x) = 1 - x,

So, We will substitute 2 into these functions:

f(2) = 3(2)^2 + 1 = 3(4) + 1 = 12 + 1 = 13

g(2) = 1 - 2 = -1

Now, we can subtract g(2) from f(2):

(f-g)(2) = f(2) - g(2) = 13 - (-1) = 13 + 1 = 14

Hence, the required value of (f-g)(2) is 14.

Answer:

The correct answer is 3. To solve for g(-2), we substitute -2 for x in the equation g(x) = 2x + 5. This gives us g(-2) = 2(-2) + 5, which simplifies to -4 + 5 = 1. Next, we substitute the value of g(-2) into the equation for f(g(x)) = 4 - x^2. Thus, f(g(-2)) = 4 - (1)^2, which equals 4 - 1 = 3.

Answer:

∠VWT = 131°

Explanation:

∠VWT is equal to ∠UTW because they are Alternate inner angles. Since they are equal, we know that the measure of ∠VWT is 131°.

Hoped this helped!

Answer:

f(-2) = 18

Step-by-step explanation:

In order to calculate a function of x, we replace x
For example
f(x) = x
f(-2) = -2

In this specific scenario

f(x) = 3 * (4 - x)
f(-2) = 3 * (4 - -2)

- -2 turns positive
f(-2) = 3 * (4 + 2)

Now we use PAMDAS (parentheses, exponents, multiplication, division, addition) as an operation order, so we first solve the parantheses
f(-2) = 3 * 6

f(-2) = 18

Answer:

Median: 5

Mean: 6

Step-by-step explanation:

4,4,4,5,7,9,9

(4x3)+5+7+(9x2)

12+5+7+18

17+25=42

42÷7=6

The ratio shows how many times one value is contained in another value.

The number of top dogs is 192.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

The ratio of top dogs to fat cats was 24 to 19.

if they were 152 fat cats.

This means,

Number of top dogs = 24x

Number of fat cats = 19x

Now,

Number of fat cats = 152

This means,

152 = 19x

x = 8

Now,

Number of top dogs = 24x

= 24x

= 24 x 8

= 192

Thus,

The number of top dogs is 192.

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Answer:

2/5

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

Solution is (-1, 4)

The graph of both equations have been given. The point of interscetion is the solution of the graphs

We check the graph for the point where they meet:

The point of intersection is (-1, 4)

We need to check if we picked the right point by substituting the y and x values in each of the equations:

Answer:

7.5

Step-by-step explanation:

use the formula A=1/2bh