What is the positive root of the equation x ^2 + 5x = 150?

Answers

Answer 1
Answer: the awnser I came out with is x=10,-15

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Two lines, C and D, are represented by the equations given below:Line C: y = x + 12 Line D: y = 3x + 2 Which of the following shows the solution to the system of equations and explains why? (5 points) (4, 14), because one of the lines passes through this point (4, 14), because the point lies between the two axes (5, 17), because both lines pass through this point (5, 17), because the point does not lie on any axis

The two box-and-whisker plots below show the scores on a math exam for two classes. What do the interquartile ranges tell you about the two classes?

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Answer:

A box-and-whisker plot shows the scores on a math exam for two classes.

                                      Class A                Class B

1) Minimum value            65                           56

2) Lower quartile             66                           79

3) Median                          81                            91

4) Upper quartile              89                           94

5) Maximum value           95                          100

First quartile also known as Lower quartile is the number below which lies the 25 percent of the bottom data.

Second quartile or Median divides the range in the middle and has 50 percent of the data below it.

Third quartile also known as upper quartile has 75 percent of the data below it and the top 25 percent of the data above it.

Interquartile   Range = Upper quartile - Lower quartile,

For class A

Interquartile range = 89 -66 = 23

For class B

Interquartile range = 94 -79 = 15

The interquartile ranges tell you about the two classes that  Class B has more consistent scores




A box-and-whisker plot shows 5 number summary:
 
                                  Class A                Class B
1) minimum value      65                           56
2) 1st quartile            66                            79
3) median                  81                            91
4) 3rd quartile            89                            94
5) maximum value     95                          100

Interquartile range = 3rd Quartile - 1st Quartile 
Class A: 89 - 66 = 23
Class B: 94 - 79 = 15

IQR indicates the spread of the of the scores over the median. Class A has a spread that his more than 50% of the scores of Class B.

Screen shot for math

Answers

Answer:

18. 150

19.   They are not congruent

20. 60

Step-by-step explanation:

18. <EBC is 180 degrees so subtract by 30 because of angle F lowering the degree number by 30 and you get 150 degrees.

19. They are not congruent because they are not the same degree number and they aren't complementary because they don't equal 90 degrees. They aren't supplementary because they don't equal 180 degrees.

20. You get this by writing the equation 90-30 because angle F raises which lowers the angle dregree number by 30. So 90-30=60. Therefore, the answer is 60.

A ramp was built by a loading dock. The height of the loading platform is 4 feet. Determine the length of the ramp if it makes a 32-degree angle with the ground. (Round to the nearest tenth). The shape is a triangle. I got my answer as 7.5 by rounding and is it correct?

Answers

Answer:

Yes, it is correct

Step-by-step explanation:

Check attachment below:

Which choices are in the solution set of the inequality below? Check all that apply.20x>70

A: 6.5
B: 3
C: 3.5
D: 1
E: 5
F: 4

Answers

70 divided by 20 is 3.5, so the answer is any that are larger than 3.5
20x>70
x>7/2 so C is the write answer
put best answer.i need this

Which of the following statements contain a variable? Check all that apply.A. The number of different colors on the page.
B. They scored 27 points.
C. Eighty miles per hour.
D. Half the speed of the car.

Answers

A. The number of different colors on the page.

D. Half the speed of the car.

These statements contain variables representing unknown quantities or values.

Variables in mathematics and science are symbols that represent unknown values or quantities. Let's analyze each statement to identify the ones containing variables:

A. "The number of different colors on the page."

This statement contains a variable because it represents an unknown quantity, the number of colors.

B. "They scored 27 points."

This statement does not contain a variable as it explicitly states a specific value (27 points).

C. "Eighty miles per hour."

This statement does not contain a variable as it provides a specific constant value (80 miles per hour).

D. "Half the speed of the car."

This statement contains a variable because it represents an unknown value, which would depend on the actual speed of the car.

In summary, the statements containing variables are:

A. The number of different colors on the page.

D. Half the speed of the car.

These statements represent quantities that can vary, making them suitable for mathematical or scientific analysis where variables are used to express relationships and solve equations.

For more such questions on speed

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The correct answers are:

A) the number of different colors on the page; and 
D) half the speed of the car.

Explanation:

A variable represents an unknown amount.  

For A, we do not know how many colors are on the page; this means we would use a variable to represent it.

For D, while we know we want half of the speed of the car, we do not know what the speed of the car actually is; therefore we would use a variable to represent it.

What is scientific notation 14,200,000

Answers

The scientific notation for 14,200,00= 1.42x10^6