Find the nth term rule for the sequence: 20, 28, 36, 44

Answer:

Parallel: extending in the same direction, everywhere equidistant.

Perpendicular: ar an angle of 90 to a givin line, plane or surface.

Answer:

Two or more straight lines having equal distance between them through out is parallel lines

Perpendicular lines are two lines at Right angles

Answer:

x = 9

Step-by-step explanation:

Distribute

2x+2*5=3x+1

2x+10=3x+1

Subtract 3x from both sides

-x+10=1

Subtract 10 from both sides

-x=-9

Multiply both sides by -1

x=9

Answer: x=9

Step-by-step explanation: 2(x + 5) = 3x + 1

2(x+5)

2x+2(5)

2x+10-10= 3x + 1-10

2x-3x=3x-9-3x

-x/-1=-9/-1

x=9

Answer:

Function A has a rate of change of -5 and Function B has a rate of change of -4.5, so Function B has a greater rate of

Step-by-step explanation:

Function A:

[tex]\begin{array}{cccccc}x & {1.5} & {2.5} & {3.5} & {4.5} & {5.5} \ \\ y & {5} & {0} & {-5} & {-10} & {-15} \ \end{array}[/tex]

Function B:

[tex]y = -4.5x + 15[/tex]

Required

Which has a greater rate of change

The rate of change of function A is calculated as thus:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where:

[tex](x_1,y_1) = (1.5,5)[/tex]

[tex](x_2,y_2) = (2.5,0)[/tex]

So, we have:

[tex]m = \frac{0-5}{2.5 - 1.5}[/tex]

[tex]m = \frac{-5}{1}[/tex]

[tex]m = -5[/tex]

For function B

The general function is:

[tex]y = mx + b[/tex]

Where

m is the rate of change

By comparing [tex]y = mx + b[/tex] to [tex]y = -4.5x + 15[/tex]

[tex]m = -4.5[/tex]

So, we have that:

Function A has a rate of -5; function B has a rate of -4.5.

By comparison: -4.5 is greater than 5

Hence, function B has a greater rate.

Answer:

length: 38 feet

width: 10 feet

area: 380 ft²

Step-by-step explanation:

The scale between the drawing and the actual studio is 2 in : 5 ft. If we divide both sides by 2, we find that the scale is 1 in : 2.5 feet.

For the first number, 15.2 inches, if we multiply it by 2.5 and change the label to "feet", we can find the real length.

15.2 * 2.5 = 38.

The length is 38 feet.

For the width, do the same thing.

4 * 2.5 = 10

The width is 10 feet.

Area is length times width. So if we plug in the numbers we just found:

38 * 10 = 380.

The area is 380 ft²

Answer:

Your answer

Step-by-step explanation:

X=4

x stands for an unknown number subtract 7-3=4

therefore... X=4

i'm in algebra one I know math.

HAVE A GREAT WEEK! :)

Answer:

x        1            2             6            12         25

f(x)     22        34           82          154       310

f(3)= 46 means that in the third month, the online magazine provider will charge a total of $46.00

Step-by-step explanation:

For finding the missing f(x) values:

Plug in the x-values that are given into the original equation: f(x)= 12x + 10

ex: f(1)= 12(1) + 10 => 22

For finding the missing x value, set the original equation to the given f(x) value

ex: 34 = 12x + 10 => 2

Answer:

A)  125.4 yards

Step-by-step explanation:

the diagonal would represent the hypotenuse of a right triangle with legs equal to 115 and 50

115² + 50² = c²

c² = [tex]\sqrt{15725}[/tex] which is approx 125.4

Answer:

16 eighteenths

Step-by-step explanation:

Answer:

16 eighteens fit into [tex]\frac{8}{9}[/tex]

Step-by-step explanation:

in order to find out how much eighteenths are the in [tex]\frac{8}{9}[/tex]. we just have to divide [tex]\frac{8}{9}[/tex] by [tex]\frac{1}{18}[/tex]. So we get...

[tex](\frac{8}{9}) /(\frac{1}{18}) = (\frac{8}{9})(18) = \frac{144}{9} = 16[/tex]

[tex]\huge{\underline{\mathtt{\red{A}\pink{N} \green{S}\blue{W} \purple{E}\orange{R}}}}[/tex]

give I'd and pass.....

Answer:

5? i think i got it wrong

Step-by-step explanation:

Answer:

21.333

Step-by-step explanation:

Complete question :

Scottie is standing next to a lighthouse on the edge of a cliff overlooking the ocean. The cliff is 30 meters above

sea level, and the lighthouse has a height of 15 meters. There is a man fishing in a boat directly below Scottie who

has hooked a fish that is 10 meters below the surface of the water.

a. Use positive and negative numbers to represent the locations in relation to sea level.

Scottie =

Top of the lighthouse =

The boat =

The fish =

meters

b. How far is Scottie from the fish?

Answer:

30 m ;

15 m ;

0 m;

40 m

Step-by-step explanation:

Scottie's position = standing on cliff

Height of cliff = 30 m above sea level

Height of lighthouse = 15 meters

Position of fish = 10m below sea level

Above sea level = positive, +

Below sea level = negative, -

Scottie's position = 30 m

Top of lighthouse = 15m

BOAT = surface of sea = 0m

Fish = - 10 m

Distance of Scottie from fish :

Scottie's position - Position of fish

30m - (-10)m

30m + 10m

= 40m

Answer:

C) 85%

Step-by-step explanation:

i hope this is right ^w^

Answer:

1000

3 decimals

Answer:

So, The possible values of h and r are

1. r = 3 , h = 3

2. r = 1, h = 27

3. r = 2, h = 6.75

Step-by-step explanation:

P.S - The exact ques is -

As we know that Volume of cone , V = [tex]\frac{1}{3}\pi r^{2}h[/tex]

As given,

V = [tex]9\pi[/tex]

⇒[tex]\frac{1}{3}\pi r^{2}h = 9\pi \\ \frac{1}{3} r^{2}h = 9 \\r^{2}h = 27[/tex]

So,

The possible values of h and r are

1. r = 3 , h = 3

2. r = 1, h = 27

3. r = 2, h = 6.75

In Case I-

When r = 3, h = 3

(3)² ×3 = 9×3 = 27

Satisfied

Case II-

r = 1, h = 27

(1)²×27 = 1×27 = 27

Satisfied

Case III-

r = 2, h = 6.75

(2)²×6.75 = 4×6.75 = 27

Satisfied

If the radius of the base of the cone is 2 inches then the height of the cone should be 2.1485 inches.

The volume of the cone is the volume occupied by the cone. It is given by the formula,

[tex]\text{Volume of the cone}= \dfrac{1}{3} \pi r^2h[/tex]

where r is the radius of the base, and h is the height of the cone.

Now, as it is given that cones need to hold 9 cubic inches of popcorn. therefore, the volume of the cone can be written as,

[tex]\text{Volume of the cone}= \dfrac{1}{3} \pi r^2h\\\\9 \times 3 = \pi r^2h\\\\\dfrac{9 \times 3}{\pi}=r^2 h\\\\8.5943 = r^2 h[/tex]

Thus, the product of the square of the radius and the height of the cone should be such that the result is 8.5943.

Now, let the radius of the cone be 2 inches, therefore, the height of the cone is,

[tex]8.5943 = r^2 h\\\\8.5943 = (2^2) h\\\\h = 2.1485\rm\ in[/tex]

Hence, if the radius of the base of the cone is 2 inches then the height of the cone should be 2.1485 inches.

Learn more about the volume of the cone:

https://brainly.com/question/1315822

Answer:

36 i did the quiz!

Answer:

35.56cm

Step-by-step explanation:

convert 14 inches to cm

Answer:

120kg, 72kg and 8kg

Step-by-step explanation:

Given the ratios 15:9:1

total ratio = 15+9+1 = 25

For the ratio of 15

Share = 15/25 * 200

Share = 3000/25

Share = 120kg

For the ratio of 9

Share = 9/25 * 200

Share = 1800/25

Share = 72kg

For the ratio of 1

Share = 1/25 * 200

Share = 200/25

Share = 8kg

Answer:

A) 8+2.50x=28

B) 8 rides

C) Jada can go on 8 rides before she has spent all of her money

Step-by-step explanation:

subtract the $8 fee from 28 and get 20, then divide 20 by how much each ride costs (2.50) and get 8 :)

Answer:

She went on 8 rides

Step-by-step explanation:

28-8=20÷2.50=8

Answer:

Using the law of indices

5 X 5^-3

5^1-3

5^-2

Answer: 60

Step-by-step explanation:

-10 x -6 = 60

Negative x Negative = Positive

Answer: 60

Step-by-step explanation: When multiplying integers,

if the signs are the same, the product is positive.'

So a negative times a negative always equals a positive.

So in this problem, -10 × -6 is 60.

Answer:

y=14.33

Step-by-step explanation:

Answer:

the answer is 14.33

Step-by-step explanation:

first you do 12y-4=168

                        +4=+4

                         ---------

                         0=172

so now the eqation is 12y=172

then you divide 172/12=14.33

Answer:

Nice.......It helped me out

LOL

Step-by-step explanation:

Answer:

288cm²is answer.

length=12m

lateral surface area of the triangular prism=perimeter of triangle ×length={7+9+8}×12=24×12=288cm²is answer.