Erica is studying two number patterns. Pattern A starts at 0 and has the rule "add 5." Pattern B starts at 0 and has the rule "add 10." What is the relationship between corresponding terms in the two patterns? The terms in Pattern B are 5 times the corresponding terms in Pattern A. The terms in Pattern B are 2 times the corresponding terms in Pattern A. The terms in Pattern B are one half the corresponding terms in Pattern A. The terms in Pattern B are one fifth the corresponding terms in Pattern A.

Answers

Answer 1

Answer:

The terms in Pattern B are 2 times the corresponding terms in Pattern A

Step-by-step explanation:

Given

Pattern A

[tex]Start = 0[/tex]

[tex]Rule: Add\ 5[/tex]

Pattern B

[tex]Start = 0[/tex]

[tex]Rule: Add\ 10[/tex]

Required

The relationship between both patterns

First, we calculate the nth term of both pattern.

For A

[tex]A(n) = Start + Rule[/tex]

[tex]A(n) = 0 + 5n[/tex]

[tex]A(n) = 5n[/tex]

For B

[tex]B(n) = Start + Rule[/tex]

[tex]B(n) = 0 + 10n[/tex]

[tex]B(n) = 10n[/tex]

So, we have:

[tex]A(n) = 5n[/tex]

[tex]B(n) = 10n[/tex]

B(n) can be expressed as:

[tex]B(n)=2* 5n[/tex]

Substitute [tex]A(n) = 5n[/tex]

[tex]B(n)=2* A(n)[/tex]

This means that the term of B(n) is twice the corresponding term of A(n)


Related Questions

first to answer correctly please actully try and an explanation if u can ! :) thanks

Answers

Answer: The total of all side lengths must equal 180 degrees

Step-by-step explanation:

if you take 180-100=80 then you have the two missing angles, divide 80 by 2 and you get 40 so 1 x measurment equals 40 degrees

can you please help? no links please. I have to pass this

Answers

Answer:

Step-by-step explanation:

10 times 10 times 60 = 6000

6000 - (1600 + 2000) = 2,400

Answer:

7200 [tex]in^3[/tex]

Step-by-step explanation:

volume of the bottom + volume of the middle part + volume of the top part (I'm sorry this is so vague T-T)

[tex](8*60*10)+(2*40*10)+(8*20*10)= 4800+800+1600=7200[/tex]

A man travels 2 miles, turn left and travels 3 miles, turn left again and travel 6 miles. How far is he from the starting point?​

Answers

Answer: 5 miles

Step-by-step explanation:

this creates a polygon which can be shortened to be a triangle with side lengths 3 and 4 and the hypotenuse unknown. to find the side length you use the formula a^2 + b^2 = c^2

3^2 + 4^2 = c^2

9 + 16 = c^2

25 = c^2

sqrt(25) = c

c = 5

What is the value of x?
a . 75
b . 25.5
c . 8
d . 4.5

help meeee

Answers

Answer:

d. 4.5

Step-by-step explanation:

10x-5=16x+22

    -22      -22

10x-27=16x

-10x      -10x

-27=6x

x=4.5

The answer is d 4.5

help pls i forgot how to solve this

Answers

Answer:

x = 45

Step-by-step explanation:

Brainliest Please!

Match the equivalent expressions.



Pls help me

Answers

Answer:

1/9 = 3^-2

1/8 = 2^-3

9 = 3²

8 = 2³

Suppose a runner travels 5200 feet in 5 minutes. At what rate does she run?

Answers

she a runna she a track star

sorry lol

Answer:

1040 ft./min

Step-by-step explanation:

It's Right :)

ASAPPPPPPPP DUE IN 3 MIN

Answers

Answer:

72

Step-by-step explanation:

Answer:

h = 6

Step-by-step explanation:

Area of a trapezoid formula:

[tex]A=\frac{a+b}{2} *h\\\\h=2*\frac{A}{a+b}[/tex]

Given:

A = 48

a = 4

b = 12

Work:

[tex]h=2*\frac{A}{a+b} \\\\h=2*\frac{48}{12+4} \\\\h=2*\frac{48}{16}\\\\h=2*3\\h=6[/tex]

Work out size of Angle x

Answers

Answer:

106

Step-by-step explanation:

all 3 of the angles add up to 360

you already know one is 164 and one is a right angle so

164 + 90 = 254

360 - 254 = 106

What is 1?1?1?1=6 pls help my brain id hurt rn​

Answers

Answer:

(1+1+1)!*1=6

Step-by-step explanation:

HELP ME WHATS THE VALUE OF X?

Answers

Answer:

Step-by-step explanation:

Total sum of degrees of a Triangle is 180 deg

Than: 8x-7 + x +7 + 2x + 15 = 180

11x + 15 = 180

x = (180-15) / 11  =15

Answer: 15

What is the MEAN of the data - (12, 8, 6, 12, 16, 12) *

helppp

Answers

Answer: the mean is 11

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Add them all together then divide by the nuber of variables

help please? anyone?

Answers

Answer:

"so i need to find e missing side of each right triangle, side c is the hypotenuse!! a = 8.8ft, b= 9ft i have to round the answers to the nearest tenth if necessary "

Step-by-step explanation:

Sure! So remember that the Pythagorean theorem is a squared plus b squared = c squared.

= 8.8 squared + 9 squared = c squared

= 77.44 + 81 = c squared

[tex]\sqrt{158.44}[/tex] = c squared

c squared = (rounded) 12.6 ft

Yes or no ??????????

Answers

Answer:

[tex]yes[/tex]

because it has a one side, length and base

Simplify this expression
(√2+√3)(√5 -√7)

Answers

Answer:

Step-by-step explanation:

Answer:

pretty sure its the second one

Step-by-step explanation:

Describe and correct the error in solving the equation.

27 = n-15

-15 +15

12 = n

Answers

The error is that 15 was subtracted on the left side when it should’ve been added.
Corrected equation:
27 = n-15
Add 15 to both sides
42 = n

Celeste used 20 inches of ribbon from a spool that holds 36 inches of ribbon. What is the decimal equivalent for the amount of ribbon Celeste uses.

Answers

Answer: 0.56

Step-by-step explanation:

The spool holds a total of 36 inches of ribbon and out tis amount, Celeste used 20 inches of ribbon.

Celeste therefore used 20 / 36 of the ribbon available from the stool.

In decimal this is:

= 20 ÷ 36

= 0.5556

= 0.56

anyone know ??? i need help badly right now

Answers

Answer:

Answer is A 520mm²

I hope you like it

Answer:

9. C, II and III.

10. The correct answer is 944 cubic mm, as far as I can tell. I double checked my formulas and calculations. You can copy the formulas/calculations below and email your teacher. I have tried to figure out how they got the numbers they have. The best guess I can come up with is that they used 6 as the diameter of the cylinder, using 3 for the radius. That gets us closer, at 749 cubic mm, but not quite there.

Step-by-step explanation:

9.  If the cylinder is standing upright, the horizontal cut would be a circle or oval, and the vertical cut could be a rectangle

10. First we'll get the volume of the base rectangle. Then we'll calculate the volume of a cylinder, then divide that part in half, because it's 1/2 a cylinder on top of a rectangular prism.

Volume of a rectangular prism:

V = (length)(width)(height)

= 11 x 9 x 6 = 594 cubic mm

Volume of a cylinder:

V = (pi)(radius)^2(height)

The radius = 1/2 the diameter of the circle...the diameter is 9, so the radius is 4.5

= (3.14)(4.5)(4.5)(11)

= 699.435

That would be for a full cylinder with radius 4.5 and height of 11. We have half of one, so 699.435/2 = 349.7175 cubic mm

Add the volume of the 1/2 cylinder to the volume of the rectangular prism:

349.7175 + 594 = 943.7175, rounded = 944...which is none of your answers :/

Sorry I couldn't give you an "A, B, C, D" answer, but I don't think any of those are correct.


Pls help if you know the answer and explain, if you get it right I'll give you brainly
find the volume of the larger rectangular prism

Answers

Answer:

1/8 to the power of 3

Step-by-step explanation:

its 1/2 length x 1/2 width x 1/2 height

Devin is making a candle by pouring melted wax into a mold in the shape of a square pyramid. Each side of the base of the pyramid is 6 cm and the height of the pyramid is 9 cm. To get the wax for the candle, Devin melts cubes of wax that are each 4 cm by 4 cm by 4 cm. How many of the wax cubes will Devin need in order to make the candle? Show your work.

Answers

The volume of the square pyramid is 6 x 6 x 9/3 = 108 cubic cm.

Volume of the cube = 4 x 4 x 4 = 64 cubic cm

Number of cubes needed: 108/64 = 1 11/16 cubes (1.6875)

Answer:

Solution given:

square pyramid

each side of base[b]=6cm

height[h]=9cm

Volume of square pyramid[V]=[tex] \frac{1}{3 } {b}^{2} h \\ \frac{1}{3} {6}^{2} \times 9 = 108cm ^{3} [/tex]

now

length of cube [l]=4cm

volume of cube[v]=l³=4³=64cm³

now

no of wax needed=[tex] \frac{V}{v} [/tex]=[tex] \frac{108cm³}{64cm³} [/tex]=[tex] \frac{27}{16 } =1\frac{11}{16} [/tex]

is needed.

What’s the answer to this?!

Answers

Answer:

19.1

Step-by-step explanation:

Pythagorean theorem: a^2+b^2=c^2

4^2+7^2=c^2

16+49=c^2

C^2=65

c=hypotenuse =root 65

Perimeter =7+4+root65=19.1ft

Help me with this problem ASAP

Answers

The answer is D. 4.


A cube has edges measuring 7 centimetres each. Determine the surface
area of the cube.

Answers

Answer: I think its 294cm²

Is it possible to create a line segment with "infinite

steepness?

If so, do it, and explain why you think you're right

If not, explain why it's impossible.

Sign out

us

133

Answers

Answer:

No, it is not possible

Step-by-step explanation:

Required

Is it possible to have a line segment with: [tex]m = \infty[/tex]

To answer this question, we will interpret the steepness as slope.

So, we have:

[tex]m = \infty[/tex]

The interpretation of a line with: [tex]m = \infty[/tex] is:

It starts from (x,y_1) and ends at (x,y_2)

When the slope (m) is then calculated, we have:

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

[tex]m = \frac{y_2 - y_1}{0}[/tex]

[tex]m = \infty[/tex]

What this means is that, the line has no end points.

A line segment as described here means a line that has endpoints (i.e. a finite starting point and a finite finish point)

So, we've established that: [tex]m = \infty[/tex] means no endpoints and a line segment has end points, then we can conclude that it is not possible to create a line segment with [tex]m = \infty[/tex]

Steepness of a  line is the rise or fall of it at a sharp angle.The Is it not possible to create a line segment with infinite steepness, as the slope of the such line will be infinite whether a line is plotted with finite points.

Steepness-

Steepness of a  line is the rise or fall of it at a sharp angle. The slope of the line describe the steepness of a line.

Infinite steepness-

A infinite steepness refers to a vertical line on the graph. When the line with infinite steepness plotted on the graph it is only parallel to the y axis. The change on the x axis is zero and does not move in the x axis, when a line has infinite steepness.

To understand it better suppose a line is passed through the point [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] points. For such line the slope of the line can be given as,

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

The line with infinite steepness does not move in the x axis. The coordinate of the x axis same for the line. Thus,

[tex]x_2=x_1[/tex]

The slope for such line is,

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

[tex]m=\dfrac{y_2-y_1}{0} [/tex]

[tex]m=\infty[/tex]

Thus the slope of the line is infinite. But the line With no finite point is not possible to plot.

Hence the Is it not possible to create a line segment with "infinite steepness, as the slope of the such line will be infinite whether a line is plotted with finite points.

Learn more about the steepness of the line here;

https://brainly.com/question/806542

Please someone help I need to turn this in soon !!

Answers

Answer:

6

Step-by-step explanation:

18/3=6

Divide and round to the nearest hundredths place.
0.25 ÷ 0.06 =

Answers

Answer:

4.17

Step-by-step explanation:

Answer:

14.17

Step-by-step explanation:

0.25 divided by 0.06 =4.166666666667

you take the first 3 numbers 4. 166 round the last number if it is a 5 or higher the number goes up one 4.166 rounds up to 4.17

Evaluate the function f(x)=-5x2 + 4x -6
when x = 2

Answers

f(x)=-5x2+4x-6

f(2)= -5*2*2+4*2-6

f(2)= -20+2

f(2)=-18

I need help with this question​

Answers

Answer:

I thinks its F because you cant factor it

Step-by-step explanation:

Answer:

F) The expression does not have a real factor

Please answer! I will mark you Brsinliest! The pictures are together.

Answers

Answer:

V = 65.97π

Step-by-step explanation:

Answer:

g00gle is a really great source for these questions!

Just put in the information and they do they work!

Step-by-step explanation:

66 inches cubed since you round up .03 decimals!

or 65.97 if you aren't supposed to round

7. The answer is letter A or letter D
Find the next two terms in the sequence.

40, 10, –20, –50, . . .

A.
60, 80

B.
–80, –110

C.
–70, –100

D.
–70, –90

Answers

Answer:

B.

–80, –110

Step-by-step explanation:

-80 and -110

It is an arithmetic sequence. The difference = -30. It is the difference between each number in the sequence: 10-40=-30

-50-30=-80

-80-30 =-110

-80

First Identify the sequence being made here.

10-40 = -30

-20-10 = -30

-50-(-20) = -30

Therefor this pattern is decreasing by a rate of 30 so to continue this, just subtract 30 from -50.

-50-30 = -80

The next term is -80.

Hope I helped!

It should be B because all of them subtract 30...
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