Is the answer true? ​

Answer:

13) -6, -2, 0, 2

14) -9, -8, 4, 9

15) -14, -6, 0, 9, 10

16) -11, -9, -8, 3, 12

17) 9, 5, -3, -11

18) 2, -3, -4, -17

19) 14, 9, 0, -10, -16

20) 24, 11, -8, -11, -20

Answer:

7%

Step-by-step explanation:

Interest = Principle × Rate as a decimal × Time in years

840 = 4000 × r × 3

840 = 12,000r

r = 840/1200 = 0.07

Answer:

x = 33°

Step-by-step explanation:

57 + 90 + x = 180

147 + x = 180

x = 33

The midpoint of segment YZ is (-a, -2b).

Given the coordinates of the rhombus WXYZ:

W(0, 4b)

X(2a, 0)

Y(0, -4b)

Z(-2a, 0)

The midpoint formula is given by:

Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)

Substituting the coordinates of Y and Z:

Midpoint of YZ = ((0 + (-2a)) / 2, (-4b + 0) / 2)

= (-a, -2b)

Therefore, the midpoint of segment YZ is (-a, -2b).

To demonstrate that the segments joining the midpoints of the rhombus are perpendicular, we need to prove that the slopes of these segments are negative reciprocals of each other.

Let's consider the segments joining the midpoints:

Segment joining the midpoints of WX and YZ:

Midpoint of WX: ((0 + 2a) / 2, (4b + 0) / 2) = (a, 2b)

Midpoint of YZ: (-a, -2b)

Slope of WX = (2b - 4b) / (a - 0) = -2b / a

Slope of YZ = (-2b - (-4b)) / (-a - 0) = 2b / a

The slopes of WX and YZ are negative reciprocals of each other, indicating that these segments are perpendicular.

We have shown that the segments joining the midpoints of a rhombus are perpendicular to each other and have equal lengths. Therefore, these segments form a rectangle.

Additionally, the midpoint of segment YZ is (-a, -2b).

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The solution to the questions are:

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

Length = 350 - 2x

Width = x

The area of a rectangle is the product of its dimensions

So, we have

Area = Length x Width

Substitute the known values in the above equation, so, we have the following representation

A = (350 - 2x) * x

Evaluate

A = 350x - 2x²

Differentiate and set to 0

350 - 4x = 0

So, we have

4x = 350

Divide by 4

x = 87.5

Recall that

Length = 350 - 2x

So, we have

Length = 350 - 2 x 87.5

Evaluate

Length = 175

The area is then calculated as

Area = Length x Width

So, we have

Area = 175 x 87.5

Evaluate

Area = 15312.5 square meters

Hence, the area is 15312.5 square meters

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The graph that shows the image of ∠B after a rotation of 180∘ about the origin has the coordinates B' - (-1, 8)(attached)

The 180-degree rotation, whether clockwise and anticlockwise, is one of the most basic and frequent geometric transformations. The coordinates of B (x, y) after the rotation will only have the opposite signs of the initial values if B (x, y) is a point that needs to be rotated 180 degrees the about origin.

The camera may move wherever on its side in accordance with the 180-degree rule, but it must not cross the axis. The performers maintain the same left/right interaction with one another while the camera is on one side of the 180-degree line.

It is demonstrated to rotate 180 degrees around the origin.

From the question:

The coordinates of B are - B(1, -8).

Thus, the formula is (x,y)→(−x,−y)  for a 180° rotation of the origin.

B' - (-1 ,-(- 8))

B' - (-1, 8)

The graph that shows the image of ∠B after a rotation of 180∘ about the origin has the coordinates B' - (-1, 8): . (attached)

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Answer:b

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The design of the survey leads to bias because a nonresponse error was made in this design. This type of sampling only represents those who answered the survey; it does not represent the entire population.

Only 56% of response were received this means the entire population did not participate in the survey only a chuck of them answered the survey. This can lead to a biased result, an assumption.

Answer:

3 and 9

Step-by-step explanation:

x+y=12

y-x=6

y-x=6

 +x.  +x

y=6+x

x+(6+x)=12

6+2x=12

-6.    -6

2x=6

/2. /2

x=3

3+y=12

-3.  -3

y=9

Hopes this helps please mark brainliest

Answer:

7 pounds + 80% =12.6 pounds

Step-by-step explanation:

math lol

Answer:

68°

Step-by-step explanation:

Total angle in a quadrant = 90°

x + 22° = 90°

x = 90 - 22

x = 68°

The width of the rectangular rug is 13 feet and the length of the rectangular rug is 26 feet.

Area of a rectangle formula: A = L * W. A

rectangle's length and width are multiplied to produce its area.

A is the area, L is the length, and W is the width or girth, where

A = L * W.

The corresponding sides of the rectangular rug and the rectangular floor must be proportional if they are alike.

Let's use "x" to represent the rug's width. The floor measures 32 feet in length and 26 feet in width, and the length of the rug is 16 feet according to the details provided. Since the rug and the surface are comparable, we can establish the following ratio:

Rug width/floor width = rug length/floor length

x / 26 = rug's length / 32

We can cross-multiply and then solve for "x" to find the answer:

32x = 26 * Rug's length

x =  (26 * Rug Length) / 32

\(= \frac{26 * 16}{32} \\= \frac{26}{2} \\= 13\)

Therefore x ( the width of the rug) is = 13 feet.

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Complete question:

The rectangular rug is similar to the rectangular floor. If the floor of the room measures 32 feet in length and 26 feet in width, and the length of the rug is 16 feet, what is the width of the rug?

Answer:

x = 23

Step-by-step explanation:

3x + 3 + x + 85 = 180

4x + 88 = 180

4x = 92

x = 23

Hopefully this helps!

Brainliest please?

Part a: P(A) = 1/2; P(B) =  2/3; P(C) = 1/12; P(A ∩ B ∩ C) = 1/36.

Part b: Part b: A, B, and C independent events.

Rolling a dice twice has 36 possible results, hence the following is the sample space:

S = {(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}

For the stated question-

Part a:  P(A), P(B),P(C), and P(A ∩ B ∩ C).

P(A) = 18/36 = 1/2

P(B) = 24/36 = 2/3

P(C) = 3/36 = 1/12

P(A ∩ B ∩ C) = 1/36

Part b: A, B, and C independent or not.

For the events to be independent,

P(A ∩ B ∩ C) = P(A).P(B).P(C)

P(A).P(B).P(C) = 1/2*2/3*1/12 = 1/36

As, P(A ∩ B ∩ C) = P(A).P(B).P(C).

Thus, the events are independent.

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Answer:

A B D

The sum of the function and its additive inverse is 0.

The function and its additive inverse have symmetry over the x-axis.

The product of the function and its multiplicative inverse is 1.

Step-by-step explanation:

Answer:

The correct answers are:

A, B, and D.

Step-by-step explanation:

Edge 2020

The expression 1 2/5 + 2 2/3 using fifteenths is 3 + 6/15 + 10/15

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

1 2/5 + 2 2/3

3 + 2/5 + 2/3

To rewrite the expression using fifteenths, we multiply the numerator and the denominator of the fractions by the same number

In this case, we use 3 and 5

So, we have

3 + 2/5 * 3/3 + 2/3 * 5/5

Evaluate the products

3 + 6/15 + 10/15

Hence, the expression using fifteenths is 3 + 6/15 + 10/15

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Answer:

20 mph

Step-by-step explanation:

Varies inversely

ts = k

------------------------------

It takes Danielle 24 minutes to get to work when he drives at an average speed of 30 mph

24(30) = 720

------------------------

What is Danielle's average speed if he gets to work in 36 minutes.

36s = 720

s = 720/36

s = 20

20 mph

The number is -9/5

STEP - BY - STEP EXPLANATION

What to find?

The unknown number.

Given:

The product of twice a number and two is the same as the difference of three times the number and 9/5.

Let x be the number.

To solve, we will need to to follow the steps below:

Step 1

Translate the question into an equation.

That is;

Step 2

Simplify the left-hand side of the equation.

Step 3

Collect like term.

Step 4

Simplify the above.

Therefore, the number is -9/5.

Answer:

  \(r=\sqrt{\dfrac{V}{\pi h}}\)

Step-by-step explanation:

Divide by the coefficient of the r factor, then take the square root.

  \(V=\pi r^2h\\\\\dfrac{V}{\pi h}=r^2\\\\\boxed{r=\sqrt{\dfrac{V}{\pi h}}}\)

Answer:

AC = 13.3

Make proportional relationship:

\(\dfrac{\text{AB}}{\text{AC}} =\dfrac{\text{AM}}{\text{AN}}\)

Insert values

\(\rightarrow\dfrac{10}{\text{AC}} =\dfrac{6}{8}\)

Cross multiply

\(\rightarrow \text{AC}=\dfrac{10(8)}{6}\)

Simplify

\(\rightarrow \text{AC}=13.3\)

To find the mean, we have to use the following formula

Where x represents each score and f represents the number of students. Using the given table, we have

Rewrite the limit as

\(\displaystyle \lim_{x\to0} \frac{x\cos(5x)}{\sin(5x)} = \lim_{x\to0} \frac{5x}{\sin(5x)} \cdot \lim_{x\to0} \frac{\cos(5x)}5\)

Then using the known limit,

\(\displaystyle \lim_{x\to0} \frac{\sin(x)}x = 1 \implies \frac1{\lim\limits_{x\to0}\frac{\sin(x)}x} = \lim_{x\to0}\frac x{\sin(x)}=1\)

it follows that

\(\displaystyle \lim_{x\to0} \frac{x\cos(5x)}{\sin(5x)} = 1 \cdot \frac{\cos(0)}5 = \boxed{\frac15}\)

The expression that represents the perimeter of the triangle in centimeters is 11f + g + 11.

Perimeter is a term used in geometry to refer to the total length of the boundary of a two-dimensional shape, such as a polygon. It is the sum of the lengths of all the sides of the shape.

The perimeter of a triangle is the sum of the lengths of its sides. Therefore, the expression that represents the perimeter of the triangle with side lengths (4f+2) cm, (7f+7) cm, and (g+2) cm is:

Perimeter = (4f + 2) + (7f + 7) + (g + 2)

Simplifying the expression by combining like terms, we get:

Perimeter = 11f + g + 11

Therefore, the expression that represents the perimeter of the triangle in centimeters is 11f + g + 11.

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The exact solutions of the qudratic equation 3x^2 - 6x + 2 = 0 are:

a. negative 1 plus or minus the square root of 3 divided by

3 (x = (-1 ± √3) / 3) .So, option a is the correct answer.

To find the solutions of the quadratic equation 3x^2 - 6x + 2 = 0, we can use the quadratic formula, which states that for an equation of the form ax^2 + bx + c = 0, the solutions are given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this case, a = 3, b = -6, and c = 2. Substituting these values into the formula, we have:

x = (-(-6) ± √((-6)^2 - 4(3)(2))) / (2(3))

x = (6 ± √(36 - 24)) / 6

x = (6 ± √12) / 6

x = (6 ± 2√3) / 6

x = (3 ± √3) / 3

Therefore, the exact solutions of the equation 3x^2 - 6x + 2 = 0 are:

a. negative 1 plus or minus the square root of 3 divided by 3 (x = (-1 ± √3) / 3)

So, option a is the correct answer.

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Answer:

[-7,2]

Step-by-step explanation:

the range is all the possible y-values, and the highest point of the graph is at (-3,2) while the lowest is at (0,-7). when looking at the y-coordinates, we realize that the range is [-7,2] (brackets because those points are included).

Answer:

Step-by-step explanation:

Ici, nous allons réduire la fraction 18/25 aux termes les plus bas et la convertir en un nombre fractionnaire, si nécessaire.

Dans la fraction 18/25, 18 est le numérateur et 25 est le dénominateur.

On commence par trouver le plus grand diviseur commun de 18 et 25, qui est 1. Ensuite, on divise 18 et 25 par le plus grand diviseur commun pour obtenir la plus petite expression, écrite comme suit :

(18 ÷ 1) / (25 ÷ 1)

= 18/25

The numeric value of f(a) + f(h) for f(x) = x² - 5x + 3 is given as follows:

A. f(a) + f(h) = a² + h² - 5a - 5h + 6.

To calculate the numeric value of a function or of an expression, we substitute each instance of any variable or unknown on the function by the value at which we want to find the numeric value of the function or of the expression presented in the context of a problem.

The function for this problem is defined as follows:

f(x) = x² - 5x + 3.

Hence the numeric values are given as follows:

The only like term is the 3 for both expressions, hence the addition is given as follows:

f(a) + f(h) = a² + h² - 5a - 5h + 6.

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Answer:

Hi!

The answer would be: 5 + 10m

I hope this helped you! :)

Answer:

\(\bf 5+10m\)

Step-by-step explanation:

\(\bf 5\left(1+2m\right)\)

Apply the distributive law:-

\(\bf 5\left(1+2m\right)=5\times \:1+5\times\:2m\)

\(\bf 5\times\:1+5\times \:2m\)

\(\bf 5+10m\)

___________________

Hope  this helps!

Have a good one!

Answer:

B

Step-by-step explanation:

6x -8y = - 16y

6x = -8y

8y = 17x + 4

-8y = -17x - 4

6x = -17x - 4

23x = -4

x = -4/23

Eric needs 212 apples to give two each to all the students in his math classes.

The problem states that Eric needs enough apples to give two each to all the students in his math classes.

To find the total number of apples needed, we need to find the total number of students across all the classes and then multiply that by 2 (since each student is receiving 2 apples).

To find the total number of apples Eric needs, we need to first calculate the total number of students he has:

Adding up the number of students in each class, we get:

26 (basic math) + 43 (intermediate math) + 37 (advanced math) = 106 students

To find the total number of apples needed, we multiply the total number of students by 2:

Total number of students = 26 + 43 + 37 = 106

Eric needs enough apples to give two to each student, so we need to multiply the total number of students by 2:

Total number of apples = 106 x 2 = 212

106 students x 2 apples/student = 212 apples

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Step-by-step explanation:

Given the inequality statement, 2x + 4y ≤ 8:

In order to graph the given inequality statement, we must first transform this into its slope-intercept form, y = mx + b.

Start by setting the inequality statement into an equation by substituting the

"≤" into "=."

2x + 4y = 8

Next, subtract 2x from both sides:

2x + 4y = 8

2x -2x + 4y = - 2x + 8

4y = -2x + 8

Then, divide both sides by 4 to isolate y:

\(\displaystyle\mathsf{\frac{4y}{4}\:=\:\frac{-2x\:+\:8}{4}}\)

y = -½x + 2  ⇒ This is the slope-intercept form

We can graph the line using the equation. Start by plotting the y-intercept, (0, 2), and use the slope (m = -½) to plot other points on the graph. Use a solid boundary line due to the "≤" symbol.

Next, we must choose test point that is not on the line. The purpose of the test point is to determine which part of the half-plane region to shade.  Let's use the point of origin, (0, 0) as our test point, and substitute its values into the inequality statement:

2x + 4y ≤ 8

2(0) + 4(0) ≤ 8

0 + 0 ≤ 8

0 ≤ 8 (True statement).

Therefore, we must shade the half-plane region that contains the test point.

Attached is a screenshot of the graphed linear inequality.