What is the median value of the data set shown on the line plot?

Enter your answer in the box.

Answer:

28 units^2

Step-by-step explanation:

A=1/2bh

base is 8

height is 7

A=1/2*56

A=28 units^2

Answer:

x=3y+6

Step-by-step explanation:

1.

Let's solve for x.

2x−6y=12

Step 1: Add 6y to both sides.

2x−6y+6y=12+6y

2x=6y+12

Step 2: Divide both sides by 2.

2x ÷2= (6y+12)÷2

x=3y+6

Answer:

0.141 in³

explanation:

[tex]\sf \bold{volume \ of \ rectangular \ prism = length * width * height }[/tex]

using the formula:

[tex]\sf {volume \ of \ rectangular \ prism = \dfrac{1}{2} * \dfrac{3}{4} * \dfrac{3}{8} }[/tex]

[tex]\sf {volume \ of \ rectangular \ prism = \dfrac{9}{64} \ in^3[/tex]

[tex]\sf {volume \ of \ rectangular \ prism = 0.140625 \ in^3[/tex]

[tex]\sf {volume \ of \ rectangular \ prism = 0.141 \ in^3[/tex]

Answer:

34

Step-by-step explanation:

substitute x = 6, y = - 2 into the expression

5x - 2y

= 5(6) - 2(- 2)

= 30 + 4

= 34

Answer:

True

Step-by-step explanation:

1 Meter is equal to 100 centimeters

Answer: True

Explanation: 1 meter=100 cm

Answer:

100π - (96 + (13/2)√231 ) m^2

Step-by-step explanation:

We will solve this by finding the area of the triangles (the quadrilateral is cut by the diameter) and subtract it from the area of the circle.

There is a circle theorem which states that if a triangle is in the semicircle and the hypothenuse extends to the length of the diameter, the angle at B here is 90 degrees.

Since angle B is 90 degrees we can use the Pythagorean theorem (a^2 + b^2 = c^2) to find Line AC.

so 144 + 256 = 400

√400 = 20

So diameter is 20

Finding the area of the top triangle:

1/2(12x16) = 96cm^2

For the bottom triangle, we need the side DC to find the area. To find it we will apply the theorem once again.

400 = 169 + DC^2

DC^2 = 231

DC = √231

so the area of the bottom triangle is 1/2(13√231) = (13/2)√231

Now we add the area of the triangles for the quadrilateral and subtract from the circle area.

The circle area is 100π (πr^2)

Hence, the area of the shaded region is:

100π - (96 + (13/2)√231 ) m^2

Using the arrangements formula, it is found that there are 72 distinct four-digit positive integers are such that the product of their digits equals 12.

The number of possible arrangements of n elements is given by the factorial of n, that is:

[tex]A_n = n![/tex]

In this problem, considering that the numbers are arranged, we have that there are:

Hence:

T = 3 x 4! = 3 x 24 = 72.

There are 72 distinct four-digit positive integers are such that the product of their digits equals 12.

More can be learned about the arrangements formula at https://brainly.com/question/24648661

Answer:

b = 22

Step-by-step explanation:

74 + 74

= 148

180 - 148

= 22

i hope this work for you

If you're looking for the cartesian form of this straight line then that would be,

[tex] - 3x - 2y + 8 = 0[/tex]

If you're looking for the equation in the form of y=mx+b, then:

[tex]y = - \frac{3}{2} x + \frac{8}{2} [/tex]

[tex]y = - \frac{3}{2} + 4[/tex]

Where -3/2 is the slope of the line

and 4 is the intersection with the y-axis (0,4)

if you want to graph this line, just take values of x and find their y, and plot these points.

finally join the points to get the graph of the line.

hope this clears things up

Answer:

f(7) = 64

Step-by-step explanation:

To evaluate f(7) substitute x = 7 into f(x) , that is

f(7) = [tex]\frac{1}{2}[/tex] × [tex]2^{7}[/tex] = [tex]\frac{1}{2}[/tex] × 128 = 64

Answer:64

Step-by-step explanation:

BIG BRAIN

Answer:

We start on the number -3 on the number line. Since the b > -3 is using the greater than sign, it is an open circle and since the inequality is pointing to the right, we can draw the arrow going to the right on the number line.

Step-by-step explanation:

[tex]\dfrac{ b }{ 3 } +1 > 0[/tex]

Multiply both sides of the equation by 3. Since 3 is positive, the inequality direction remains the same.

[tex]b+3 > 0[/tex]

Subtract 3 from both sides. Anything subtracted from zero turns into a negative number.

[tex]b+3-3 > 0-3[/tex]

Simplify

[tex]b > -3[/tex]

Now we need to graph it:

Inequalities can be shown on a number line. Open circles are used for numbers that are less than or greater than (< or >). Closed circles are used for numbers that are less than or equal to and greater than or equal to (≤ or ≥).

Symbol Meaning

> Greater than

> Greater than or equal to

< Less than

< Less than or equal to

We start on the number -3 on the number line. Since the b > -3 is using the greater than sign, it is an open circle and since the inequality is pointing to the right, we can draw the arrow going to the right on the number line.

Also look at the picture

Answer:

To the nearest whole percent is 26%

Step-by-step explanation:

First half of the year = 54 students

Second half of the year = 68 members

find the percent of increase in club membership to the nearest whole percent ?

% increase in club membership = (new member - old member) / old member × 100

= (68 - 54) / 54 × 100

= 14 / 54 × 100

= 0.259 × 100

= 25.9 %

To the nearest whole percent is 26%

Answer:

B

Step-by-step explanation:

2 solutions because they is solution to it

Answer:

Option B. 7

Step-by-step explanation:

Hello!

We can solve this by plugging in -2, in the equation [tex]\bold{f(x) = |1 - 3x|}[/tex]

Solve:

Remember:

Answer:

-9/2

Step-by-step explanation:

To make a slope perpendicular, you must find the slope in a y = mx+b format where the slope is easy to find. Add 2x to the opposite side and then divide the entire right side of the equation by 9 to get y = 2/9x +8/9. A perpendicular slope is just a negative reciprocal of the slope, so make 2/9 negative and flip around the numerator and denominator to get a perpendicular slope of -9/2. Hope that helps!

Answer:

19.63 in2

Step-by-step explanation:

2.5 squared is 6.25. Then you times it by 3.14 giving you 19.625 rounded to 19.63. Hope this helps!

Answer:

the original price of the sneakers is $45

Answer:

45$$$$$

Step-by-step explanation:

See picture for math work and answer.

Answer:

42 pounds per square inches.

Step-by-step explanation:

The temperature stays the same, the volume of a gas is inversely proportional to the pressure of the gas.

⇒ [tex]V\propto \dfrac{1}{P}[/tex]

or

[tex]V_1P_1=V_2P_2[/tex]

Volume, V₁ = 183 cubic inches

Pressure, P₁ = 14 pounds/square inch

We need to find the new pressure if the volume is decreased to 61 cubic inches. Let P₂ is new pressure. So,

[tex]P_2=\dfrac{V_1P_1}{V_2}\\\\P_2=\dfrac{183\times 14}{61}\\\\P_2=42\ \text{pounds per square inch}[/tex]

Hence, the final pressure is 42 pounds per square inches.

Answer:

3 y=9.25...................

Answer:

This is undefined because the slope is 3/0, and you can't divide by 0

Answer:

g(x) has a larger slope

Step-by-step explanation:

If you look closely, g(x) has a slope of 5.

Answer:

34 + 14 = 48

Step-by-step explanation:

have a great day

Step-by-step explanation:

Let x = larger number

Let y = smaller numer

(1) x + y = 48

(2) x = y + 14

Solving (1) for x:

x = 48-y

Substituting this into (2) and solving for y:

48-y = y+14

48-2y = 14

-2y = -34

y = 17

x = 48-y = 31

So, the smaller number is 17 and the larger number is 31

 ALL CREDIT GOES TO J.R. S. DO NOT REPORT

Answer:

-1

hope it helps

Answer:

-1

Step-by-step explanation:

I graphed it out and got the answer. Plz give brainliest if you got it

Answer:

17 seconds

Step-by-step explanation:

h(t) represents height, we want to know when the ball will return to a height of 28 feet. So our equation is..

28 = -2t² + 34t + 28

Now solve for t...

0 = -2t² + 34t (subtract 28 from both sides)

0 = t² - 17t (divide both sides by -2)

0 = t(t - 17) (factor out a t)

So

t = 0

or

t - 17 = 0

t = 17

0 seconds is the initial height. At 17 seconds, the ball will return to that height

i hope this work for you

Answer:

20 weeks

Step-by-step explanation:

This question, luckily, can be solved with a very simple algebraic expression.

Let w = the amount of weeks.

[tex]25w = 500[/tex]

So from here, we need to divide both sides by 25 to get w by itself: [tex]w = 20[/tex]

Therefore, it will take Aubree 20 weeks to have enough money to buy the computer.

Answer:

10

Step-by-step explanation:

10 and 8 would be in between 10 and 9 hope this can help

Answer:

Velocity = 1.31 millimetres per second

Step-by-step explanation:

Given:

Total distance = 131 millimetres

Total time taken = 10 seconds

Find:

Velocity

Computation:

Velocity = Total distance / Total time taken

Velocity = 131 / 10

Velocity = 1.31 millimetres per second

Answer:

y = - 2x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m =

with (x₁, y₁ ) = (4, - 6) and (x₂, y₂ ) = (0, 2 )

m =  =  =  = - 2

The line crosses the x- axis at (0, 2 ) ⇒ c = 2

y = - 2x + 2 ← equation of line