MATHEMATICS
MIDDLE SCHOOL

Answer:

The given statement "a stem-and-leaf plot shows the shape of data but not individual values" is true.

What is a stem-and-leaf plot?A stem-and-leaf plot is a graphical representation of a dataset that shows the distribution of data. It is useful for quickly summarizing and visualizing data, especially for small to moderate-sized datasets.

In a stem-and-leaf plot, the "stem" represents the first digit or digits of the data values, and the "leaves" represent the remaining digits. Each leaf corresponds to a single data value. For example, if the stem is "5" and the leaf is "2", it would represent a data value of 52.

While a stem-and-leaf plot provides information on the shape of the data, such as the range of values and the distribution, it does not show the individual data values directly. Instead, it groups them into bins based on the stem and leaf representation. To get the actual values, one needs to refer to the original dataset.

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MIDDLE SCHOOL

8a - 3(2a + 5) = 13.

a = 14

distribute parenthesis on left side and simplify

8a - 6a - 15 = 13

2a - 15 = 13 ( add 15 to both sides )

2a = 28 ( divide both sides by 2 )

a = = 14

MIDDLE SCHOOL

Stanley, the skunk, is traveling from point A to point B by taking a shortcut through the pond.A path that avoids the pond is 25 feet south and 28 feet east.To the nearest tenth of a foot, how many feet will Stanley save by going through the pond instead of following the path?

Stanley the skunk will save about 15.5 feet.

This problem can be solve with the Pythagorean Theorem. The possible paths that Stanley can take make a right triangle. The legs of the triangle are 25 and 28, and the hypotenuse would be 37.5.

If Stanley went the long way, he would travel 25 + 28 = 53 feet. Taking the short way (hypotenuse) is 53 - 37.5 = 15.5 feet shorter.

This problem can be solve with the Pythagorean Theorem. The possible paths that Stanley can take make a right triangle. The legs of the triangle are 25 and 28, and the hypotenuse would be 37.5.

If Stanley went the long way, he would travel 25 + 28 = 53 feet. Taking the short way (hypotenuse) is 53 - 37.5 = 15.5 feet shorter.

MIDDLE SCHOOL

Which equation represents a line that is perpendicular to the line represented by 2x-y=7?

The equation that represents a line that is perpendicular to the line is y = -1/2x + 7

Equation of a line?The standard equation of a line is expressed as y = mx + b

where:

- m is the slope
- b is the intercept

The slope of the line perpendicular is M = -1/m

Given the equastion 2x - y = 7. This can be written as:

-y = -2x - 7

y = 2x + 7

The slope the perpendicular lins M is -1/2

Hence the equation that represents a line that is perpendicular to the line is y = -1/2x + 7

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The correct question is

Which equation represents a line that is perpendicular to the line represented by 2x - y = 7?

A. y = -1/2x + 6

B. y = 1/2x + 6

C. y = -2x + 6

D. y = 2x + 6

we know that

if two lines are perpendicular

so

the slopes

m1*m2=-1

we have

2x-y=7-------> y=2x-7------------> slope m1=2

find slope m2

m2=-1/m1------> m2=-1/2

the slope m of the perpendicular line must to be -1/2

so

the answer is

y = -1/2x + 6

Which equation represents a line that is perpendicular to the line represented by 2x - y = 7?

A. y = -1/2x + 6

B. y = 1/2x + 6

C. y = -2x + 6

D. y = 2x + 6

we know that

if two lines are perpendicular

so

the slopes

m1*m2=-1

we have

2x-y=7-------> y=2x-7------------> slope m1=2

find slope m2

m2=-1/m1------> m2=-1/2

the slope m of the perpendicular line must to be -1/2

so

the answer is

y = -1/2x + 6

MIDDLE SCHOOL

What are the operations to get

1,a) 4-25, 5-32, 6-39, 7-46

2,a) 25-15, 30-18, 35-21

Both are doing the same operation which is subtraction.

MIDDLE SCHOOL

The quotient of 8 decreased by a number divided by 5

The value of expression is,

⇒ (x - 8) / 5

What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The expression is,

''The quotient of 8 decreased by a number divided by 5.''

Now,

Let a number = x

Hence, We can formulate;

The mathematical expression is,

⇒ The quotient of 8 decreased by a number divided by 5

⇒ (x - 8) / 5

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Answer: 8/x - 5

Step-by-step explanation:

You find the quotient then you subtract, because the other way around doesn't work

COLLEGE

A designer of cement lawn figures needs to reduce the size of a sheep by making each linear dimension 20% of the original. If a volume of N cm? of cement was used

to mold the original sheep, how many cubic centimeters of cement are needed to

make the smaller sheep?

Answer:

N x (0.2)^3

Step-by-step explanation:

Answer:

0.008N cm³

Step-by-step explanation:

The scale factor for volume is the cube of the linear scale factor:

0.20³ = 0.008

0.008N cm³ of cement are needed to make the smaller sheep.

MIDDLE SCHOOL

What is |3.8| i need help

The answer to this is 3.8. when you have that absolute value it only goes for a negative. if it's a negative 3.8 then it changes to a positive 3.8 but if there isn't a negative but a positive then it remains the same.

|3.8|= 3.8, for an absolute value of any number is ≥ 0.

Hope this helps~

Hope this helps~

HIGH SCHOOL

Y=-2x+11 what is the slope and y intercept?

The slope(m) is -2 (y=mx+b) and the y intercept is 11.

The slope is -2 and the y intercept is 11.

HIGH SCHOOL

The measure on angle 0 is 7pie/4. Measure of its reference angle is __ °, and the tan 0 is ___

Answer:

Reference angle is and tan = -1

Step-by-step explanation:

lies in the 4th quadrant

and reference angle for angle in 4th quadrant is 2π - x , where x is the angle given.

and reference angle for is

2π- =

and tan = -tan = -1

Since tan is negative in 4th quadrant ,therefore value will be negative for the given angle.