Find the range and the interquartile range of the given data set.
2, 4, 7, 8, 16, 19, 21

Answer:

A

Step-by-step explanation:

Area of rectangle  = length x width

length = 5x - 2

width = x

area = (5x - 2) × x

100 = 5x² - 2x

the width would be less than the area of the rectangle, thus the inequality sign to be used is <

5x² - 2x < 100

Answer:

f(0) = g(0)

Step-by-step explanation:

The functions intersect at x =0, which means they have the same y value at x=0

f(0) = g(0)

Step-by-step explanation:

hope the picture above help u to understand:)

Answer:

x = 22

Step-by-step explanation:

that is the procedure above

Answer:

$28

Step-by-step explanation:

cp=20

mp=20%ofcp

=20/100*20

=8

now,

sp=mp+cp

=8+20

=28

Answer:

The initial value is the beginning output value, or the y-value when x = 0.

This is the same as 7.5pi

============================================================

Explanation:

Refer to the previous post I answered a while back. It's a similar problem, just with different numbers.

Instead of following that exact route, I'll use a more direct route this time. I'll use the formula below

S = (x/360)*pi*r^2

where S is the area of the sector (aka pizza slice), x is the angle of the sector, and r is the radius.

Notice the x/360 portion represents taking a fractional part of the full circle area pi*r^2

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

Plugging in the given values leads us to...

S = (x/360)*pi*r^2

S = (108/360)*pi*5^2

S = (3/10)*pi*25

S = (3/10)*25*pi

S = 75pi/10

S = 15pi/2

This is the same as 7.5pi because 75/10 = 15/2 = 7.5

I'll leave it as a fraction since the previous answer I wrote was in fraction form.

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

Side note: if the angle x is in radian mode, then you'll use this formula

S = (x/2)*r^2

Answer:

7.5π square meters

Step-by-step explanation:

The formula for the area of a sector (when angle is given in degrees) is: [tex]A=\frac{\theta}{360}\pi r^{2}[/tex]

Where r is the radius, and [tex]\theta[/tex] is the angle of the sector in degrees.

We are given the information that the radius = 5m, and [tex]\theta[/tex] = 108 degrees. So now we can just substitute these values into the equation to solve for A:

[tex]A=\frac{108}{360}\pi 5^{2}\\\\A=0.3\pi * 25\\A = 7.5\pi[/tex]

(OR approx. 23.56 square meters)

Hope this helped!

Answer:

-x-6=y

Step-by-step explanation:

Perpendicular slope is -1

-1(-4)+b=-2

B=-6

Answer:

Determine the equation of the line perpendicular to the line y = –8 through the point (–4, –2).

The line y = –8 is

✔ horizontal

The line perpendicular to the line y = –8 is

✔ vertical

The equation of the line perpendicular to the line y = –8 through the point (–4, –2) is

✔ x = –4

Step-by-step explanation:

i got it right

Answer:

y=6x+28

Step-by-step explanation:

Using the given variables, find the equation of the line using y=mx+b

In this equation, m=slope, which means m=6

So now we have y=6x+b. We need to find the b value.

Plug in the point (-4,4) into the equation and solve for b like so:

y=6x+b

4=6(-4)+b

28=b

Now, plug in your m value and b value into y=mx+b to get your answer of y=6x+28

Answer:

I geuss because the scale factor is 2 that the resulting triangle will be almost twice the size. Because in a dilation you multiply it. If you dont know how to dilate a triangle with a compass I would suggest looking for a video online. But I know for the part that says "Is the image of ABC similar to the original triangle" the answer would be yes it is similar because you are just dilating the triangle not changing its orientation. I hope this helps! Good luck!

Answer:

A

radius is 11

diameter is 22

B

radius is 15

diameter is 30

C

radius is 13

diameter is 26

D

radius is 7

diameter is 14

Answer:

Step-by-step explana

1- R == 11

D=2R = 22

2-D =30

R= 0.6D = 15

3- D = 26

R= 0.5D= 13

4 - R= 7

D= 2R = 14

Answer:

(x + 9)(x - 5)

Step-by-step explanation:

x^2 + 4x - 45

factorising by using middle term break method

=x^2 + (9 - 5)x - 45

=x^2 + 9x - 5x - 45

=x(x + 9) - 5(x + 9)

=(x + 9)(x - 5)

Answer:

R=3K/P

Step-by-step explanation:

P=3K/R

RP=3K

RP/P=3K/P

R=3K/P

Answer: {±2√3}

Step-by-step explanation: Since only one term contains an x in this problem, we can simply get the x by itself by dividing both sides by 5 and then square rooting both sides to get x = ±√12

Remember to use plus or minus when

square rooting both sides of an equation.

Now, √12 breaks down to 2√3 so our

final answer is {±2√3}.

If the variable only appears in one of the terms in the equation,

you can solve it by simply isolating the variable.

Answer:

Slope = 3

Step-by-step explanation:

Calculate using slope formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]

[tex](x1, y1) = (4, 9)[/tex] and [tex](x2, y2) = (7, 18)[/tex]

[tex]m = \frac{18 - 9}{7 - 4} = \frac{9}{3} = 3[/tex]

Answer:

Step-by-step explanation:

Answer:

I think its well point form is  (- 31/6, 19/2)

and equation form is x= - 31/6, y= 19/2

Step-by-step explanation:

Hope it helps!!!

Answer:

Answer:

Step-by-step explanation:

Dividing :  6x2-x+12  

                             ("Dividend")

By         :    2x-3    ("Divisor")

dividend     6x2  -  x  +  12  

- divisor  * 3x1     6x2  -  9x      

remainder         8x  +  12  

- divisor  * 4x0         8x  -  12  

remainder             24  

Quotient :  3x+4  

Remainder :  24

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

Step-by-step explanation:

[tex]1)Divide \ (6x^2 + x -12) \ by \ (2x + 3)[/tex]

     [tex]6x^2 + x -12 = 6x^2 + 9x - 8x -12[/tex]

                        [tex]=3x(2x + 3)-4(2x + 3)\\\\=(3x -4)(2x + 3)[/tex]

 [tex]\frac{6x^2 + x -12}{2x + 3} = \frac{(3x -4)(2x+3)}{(2x+3)} = (3x -4)[/tex]

Answer:

here u go

Step-by-step explanation:

what i did was 15*7 which is 105

and then i did 105/2 which is 52.5 ft

Answer:

V = 1237 cubic feet

Step-by-step explanation:

V of cylinder = πr^2h

r = 7.5 ft (15/2)

h = 7 ft

v = ((7.5)^2)π*7 = 1237.002107 cubic feet

Answer:

Sum of the areas of two  shaded regions = 100 unit² (Approx.)

Step-by-step explanation:

Given:

Radius of circle = 6 units

Angle of one unshaded area = 160'

Find:

Sum of the areas of two  shaded regions

Computation:

Angle of one shaded area = 180' - 160'

Angle of one unshaded area = 20'

Sum of the areas of two  shaded regions = 2[θ/360][πr²]

Sum of the areas of two  shaded regions = 2[160/360][(3.14)(6)²]

Sum of the areas of two  shaded regions = 2[160/360][(3.14)(36)]

Sum of the areas of two  shaded regions = 2[160/360][(3.14)(36)]

Sum of the areas of two  shaded regions = [0.888][113.04]

Sum of the areas of two  shaded regions = 100.46

Sum of the areas of two  shaded regions = 100 unit² (Approx.)

Answer:

1.41

2.17

Hope this helps u

Explanation:

In Venn diagrams, similarities in both things are in the middle of the diagram, but we also have the others.

Therefore, there are 41 students who like tennis and swimming.

Students who don't like tennis like swimming, so that's 17.

Therefore, there are 17 students who don't like tennis.

I hope I helped!

Answer:

-18

Step-by-step explanation:

fog(x) = -9(x-9) -9

=> f o g (10) = -9(10-9)-9 = -9-9 = -18

Step-by-step explanation:

try use ruler for AB , AC , & BC ,

then find the area of