The radius of a circle is 5 ft. Find its circumference in terms of pi

The complete question statement is: A survey found that 27% of high school students and 94% of teachers and school employees drive to school. The ratio of students to employees is about 10 to 1. Roger states that the number of students who drive to school is greater than the number of teachers and employees who drive to school. Explain how Roger’s statement could be correct.

Answer and Explanation:

What is given;

Students 27%. (s)

Teachers and employees 94%. (t)

The ratio between these two variable is 10:1, this means that for every 10 students there's one employee only, that is, students are 10 times more than teacher and employees.

So, 27% of 10 students is 2.7 students, and 94% of 1 employee is 0.94 employees and teachers. So, if there are 2,000 students, there must be 200 teachers, and the number of students that have cars are 0.27(2000)=540, and the number of teacher and employees that have cars are 0.94(200)=188.

As you can observe, with this ratio and percentages, the number of students who drive to school is greater than the number of teachers and employees who drive to school. That's why Roger's statement is correct.

Answer:

A

Step-by-step explanation:

x from 0 < x < 2 is wrong because < means goes to but does not equal that value, and [tex]\leq[/tex] means it INCLUDES that value. Because the function includes it (not an open hole), you should choose A.

Answer:

Step-by-step explanation:

hmm

The graph of a quadratic function is always a parabola. The vertex of the parabola after transformation is (-1,-4).

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

The graph of the two functions can be made as shown below. Therefore, the two functions are,

y=2x² → Drawn by the red line

y = 2(x + 1)² − 4 → Drawn by the blue line

Now, the vertex of a quadratic function or a parabola is the point at which the function or the parabola changes its slope, it's either the maximum of the function or the minimum of the function, depending on which side the parabola opens.

Hence, The vertex of the parabola after transformation is (-1,-4).

Learn more about Quadratic Equations here:

https://brainly.com/question/17177510

#SPJ5

Answer:

3 1/10 and 1 3/5

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

The triangle is an isosceles and so angle SRT and angle STR are equal

also:

Angle SRT and angle STU are supplementary so their sum is equal to 180

7x + 2x + 9 = 180 add like terms

9x + 9 = 180 subtract 9 from both sides

9x = 171 divide both sides by 9

x = 19

Answer:

10.88

Step-by-step explanation:

9514 1404 393

Answer:

  a.  y = -1/3x +7/3

  b.  f(6) = 1/3

Step-by-step explanation:

The two given points are (1, 2) and (4, 1). The slope of the line between them is given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (1 -2)/(4 -1) = -1/3

The point-slope form of the equation of the line is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

We can add k to both sides of this equation and substitute for our slope (-1/3) and the first point (1, 2). This gives ...

  y = m(x -h) +k

  y = -1/3(x -1) +2

  y = -1/3x +7/3 . . . . eliminate parentheses

__

b. The value of y when x=6 is ...

  y = -1/3(6) +7/3 = (-6 +7)/3

  y = 1/3

That is, for f(x) = -1/3x +7/3, ...

  f(6) = 1/3

Answer:

X=5

y= -4+5(5+6)

y= -4+25+30

y= -4+55

y = 51

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

It is either 4 or 9.

Step-by-step explanation:

because you have to subtract or divide

Answer:

In order to multiply rational expressions:

Step 1: Completely factor all numerators and denominators.

Step 2: Reduce all common factors.

Step 3: Either multiply the denominators and numerators or leave the answer in factored form.

Here is an example:

Answer:

909.1

The 0 behind the decimal point is the tenth, so the digit behind the 0 is the hundredth, we round the 9 upward Which would be ten, so the ten would become 1 tenths making it be, 909.1

Answer:

11

Step-by-step explanation:

2x + x + x + 13 = 57

4x + 13 = 57

4x = 57-13

4x = 44

44/4 = 11

x = 11

Answer:

4/13 or 30.769%

Step-by-step explanation:

Step-by-step explanation:

a. 5x² - 80

b. 5(x² + 4x - 4x -16)

5(x² - 16)

5x² - 80

c. 5x² - 20x + 20x - 80

5x² - 80

d. 5x² - 11

D doesn't belong because 5x² - 11 is not the answer to A, B, or C.

[tex]\text{Given that,}\\\\\text{Area} = 12 b^7 b b^4 =12 b^{12}\\\\\text{Width} = 4a^2 b^2\\\\\text{Now,}\\\\\text{Length} \times \text{Width} =\text{Area} \\\\\implies \text{Length} = \dfrac{\text{Area}}{\text{Width}}=\dfrac{12b^{12}}{4a^2 b^2} = \dfrac{3b^{10}}{a^2}[/tex]

Answer: No solution

The two lines don’t meet at any point(s). So, there are no solutions.

:)

Answer:

-4,-8/3,0,3,5/2

Step-by-step explanation:

im sorry if this is wrong but this is what i think it is .

Answer:

Since its different experiment. Then it's permutation,

Therefore it's 20P5 = 1860480 Ways

Answer: the answer is 25

Step-by-step explanation:

First do 100/1

Then do 1 x 100/1 x 4

so then divide 100 by 4 =

25/1 =

25

Answer:

3452.2

Step-by-step explanation:

3452.2

Answer:

3452.2

Step-by-step explanation:

we have to use bodamas rule..

Answer:

it is 95 degrees because it is a vertically opposite angle

Answer:

x=4

Step-by-step explanation:

11x - 2(x + 3) = 30

distribute: 11x-2x-6=30

add like terms: 9x-6=30

add 6: 9x=36

divide by 9: x=4

Answer:

x = 4

Step-by-step explanation:

11x - 2(x +3) = 30

11x -2x - 6 = 30

11x - 2x = 30 + 6

9x = 36

9x/9 = 36/9

x = 4

Answer:

Neither because x can't equal 3 and equal 2 at the same time and 2x + 5y doesn't equal 3x + 5y. 3x is > 2x by one x

Step-by-step explanation:

Hope this answer works for you!

Answer:

C

Step-by-step explanation:

if you don't know it choose C