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Look at the following rules for two number patterns. Both patterns start with 40.
the patterns are
Pattern P: "Subtract 2"
Pattern Q: "Subtract 4"
the answers are: Excluding the first term, a term in Pattern P is always 2 greater than its corresponding term in Pattern Q.
Excluding the first term, a term in Pattern Q is always 4 greater than its corresponding term in Pattern P.
Starting with 0, the difference in the corresponding terms in the two patterns decreases by 4.
Starting with 0, the difference in the corresponding terms in the two patterns increases by 2.

Answers

Answer 1

Pattern P:

40, 38, 36, 34, 32, 30, …

Pattern Q:

40, 36, 32, 28, 24, 20, …

(absolute) Differences in corresponding terms:

0, 2, 4, 6, 8, 10, …

and these differences agree with the last statement.


Related Questions

jack and his 3 friends each ate 3pops on Monday if they all at the same amount the rest of the week how many pops could they eat in 3 weeks??​

Answers

Answer:

216pops.

Step-by-step explanation:

If Jack and his 3 friends(4people total) ate 3 pops on Monday and ate 3pops for the rest of the week, that'd be 12 pops 1 day, and 12x6 is 72 then you have to multiple 72 by 3 and you get 216pops in 3weeks

Pls help ..
No trolls pls I need this-

Answers

1,152

The triangle area is 288
The rectangle is 864
Add em up and you get 1152 :)

Answer:

1800 square feet

Step-by-step explanation:

Area of composite figure

Figure 1:

length = 27 ft

Width = 24 ft

Area of figure1 = length * width

                        = 27 * 24

                        = 648 square feet

Area of figure II:

              length = 27 ft

              Widht = 32 ft

Area of figure II = 27 *32

                          = 864 square feet

Area of figure III:

    base = 18 ft

     height = 32 ft

[tex]\text{Area of triangle (figure III) = $\dfrac{1}{2}*base*height$}\\\\[/tex]        

                                            [tex]= \dfrac{1}{2}*18*32\\\\= 288 \ square \ feet[/tex]

Area of composit figure = 648 + 864 + 288

                                        = 1800 square feet

Let f(x)=12x^5-36x^4-6x^3 and g(x)=6x^2. Find f(x) over g(x)

Answers

Answer:

GCF = 6{x}^{3}6x

step 1. 6{x}^{3}(\frac{12{x}^{5}}{6{x}^{3}}+\frac{-36{x}^{4}}{6{x}^{3}}+\frac{-6{x}^{3}}{6{x}^{3}})

step 2. 6x3x6x3x12x5+6x3−36+4-6x3=3,888-32

step 3. 3,888-32=3,856

Step-by-step explanation:

your answer is 3,856 hope this helps

difference of two terms 4x-8 to product of two factors​

Answers

Answer:

4 × (x - 2)

Step-by-step explanation:

we want to transform 4x - 8 from a difference of two terms into a product of two factors​ :

4x - 8 is a the difference of the terms 4x and 8

4x - 8 = 4x - 4×2 = 4 × (x - 2)

4 × (x - 2)  is the product of the two terms 4 and x - 4

I need help plsss ..............

Answers

48 = 3x
ab = 0
b^2 = x
b + 2x + a = m [we need to find “m”]

48 = 3x, so x = 16
b^2 = 16, so b = 4 (or - 4)

4 + 32 + 0 = 36
- 4 + 32 + 0 = 28
[there are two solutions to this problem]

Describe the length and width of a rectangle that has the same area as the one below, but a different perimeter.

Answers

the area of both rectangles is 34yd²

hope it really helps...!!!

PLEASE HELP! MATH QUESTION

Answers

Answer:

the midline is at f(x)=0

it takes the ball 2 s to complete a cycle

18) 2(NH4)3PO4
# of
molecules:
# of
elements:
Name of element:
# of atoms:
Total # of atoms:
The #2 is a
(coefficient or subscript)

Answers

Answer:

3(14+4)+28+64 = 54+92 = 146 gm/mol

Step-by-step explanation:

Name of elements : 1) Nitrogen

2) hydrogen

3) phosphorus

4) oxygen

If the walls of a square room require 480 ft^2 of paint and the floor to ceiling height is 10

ft, what are the dimensions of the room?

Answers

After find the area of one side, we proceeded to find the length and with as

Length = 10.95 feet width = 10.95 feet

Mensuration of Shapes

Given Data

Height of the Room = 10 feetArea of 4 sides of the room = 480 ft^2

If the area of 4 side = 480 ft^2

Area of 1 side will be = x

Cross multiply we have

x = 480/4

x = 120 ft^2

Let us find the length and width of the room

x = √120

x = 10.95 feet

hence Length = 10.95 feet

width = 10.95 feet

Height = 10 feet

Learn more about area of shapes here:

https://brainly.com/question/2607596

please find the area of the shaded region

Answers

Answer:

30.9 yd^2

Step-by-step explanation:

Area of square -  area of circle = shaded area

    12 * 12           -  pi (6)^2 = shaded area

An=6•(-1/4)^(n-1). The app won’t scan this problem please help

Answers

If n > 1 …

-(6/4^n-1)

The tables represent two linear functions in a system. A 2 column table with 5 rows. The first column, x, has the entries, negative 4, negative 2, 0, 2. The second column, y, has the entries, 26, 18, 10, 2. A 2 column table with 5 rows. The first column, x, has the entries, negative 4, negative 2, 0, 2. The second column, y, has the entries, 14, 8, 2, negative 4. What is the solution to this system? (1, 0) (1, 6) (8, 26) (8, –22) tables represent two linear functions in a system. A 2 column table with 5 rows. The first column, x, has the entries, negative 4, negative 2, 0, 2. The second column, y, has the entries, 26, 18, 10, 2. A 2 column table with 5 rows. The first column, x, has the entries, negative 4, negative 2, 0, 2. The second column, y, has the entries, 14, 8, 2, negative 4. What is the solution to this system? (1, 0) (1, 6) (8, 26) (8, –22) is deciding which of two gyms to join. Each gym charges a monthly rate plus a one-time membership fee. Lian correctly wrote and solved a system of linear equations by substitution to compare the costs of the memberships. In her work, she substituted an expression for one variable and solved for the other. This resulted in the equation 75 = 75. What can Lian conclude? One gym charges $75 per month. Each gym charges $75 per month. Both gyms charge the same monthly rate and the same membership fee. Both gyms charge the same monthly rate, but not the same membership fee.

Answers

Answer:

We want to solve a system of linear equations, we will get that the solutionis (8, -22)A system of equations is a group of equations that we must solve simultaneously. Here we have two lines defined by tables:line 1:x      y-4    26-2    180    102    2line 2:x      y-4    14-2     80      22      -4Remember that a line is written as:y = a*x + bWhere a is the slope and b is the y-intercept.We know that if a line passes through the points (x₁, y₁) and (x₂, y₂), then the slope can be computed as:With this we can find the slope of the first line, using any pair of the given points, I will use (0, 10) and (2, 2)And we know that the line passes through (0, 10), then the y-intercept is equal to 10.y = -4*x + 10For line 2 we can use the points (0, 2) and (2, - 4), so we get:And the y-intercept is y = 2, then the line is:y = -3*x + 2Now we must solve:-4*x + 10 = -3*x + 210 - 2 = 4x - 3x8 = xNow we evaluate x = 8 in any of the two lines:y = -3*8 + 2 = -22Then the solution of the system is (8, -22)

4.
Find the value of h, rounded to the nearest tenth.

6.7

7.5

6.3

6.5

Answers

Answer:

6.7.

Step-by-step explanation:

sin 48 = 5/h

h * sin 48 = 5

h = 5 / sin 48

= 6.73

Select the correct answer.
Simplify the expression.

Answers

Answer:

Option D :- [tex] \sf \: 18 {x}^{2} {y}^{2} \sqrt[3]{3 {xy}^{2} }[/tex]

Step-by-step explanation:

[tex] \sf \: 3x\sqrt[3]{648 {x}^{4} {y}^{8} }[/tex]

transform the equation

[tex] \rightarrow \sf \: 3x\sqrt[3]{ {6}^{3} \times {3x}^{2} \times {xy}^{6} \times {y}^{2} }[/tex]

rewrite the expression

[tex] \rightarrow \sf \: 3x \times \sqrt[3]{ {6}^{3}} \times\sqrt[3]{ {3x}^{2}} \times \sqrt[3]{ {xy}^{6} } \times \sqrt[3]{{y}^{2} }[/tex]

Simplify the radical expression

[tex] \rightarrow \sf \: 3x \times {6xy}^{2} \sqrt[3]{3xy {}^{2} }[/tex]

Multiply

[tex] \sf \: 18 {x}^{2} {y}^{2} \sqrt[3]{3 {xy}^{2} }[/tex]

Answer: Option D :-

Step-by-step explanation:

transform the equation

rewrite the expression

Simplify the radical expression

Multiply

Step-by-step explanation:

PLEASE PLEASE PLEASE HELP ME WITH THIS QUICK QUESTION!!

Answers

Answer: the y intercept is 4 and there is no x intercept

Step-by-step explanation: the intercept is where on the line it connects, on the y line, it touches 4 and it doesnt touch the x line

Please Help! will give brainlest!

Answers

Step-by-step explanation:

sin²zeta + cos²zeta = 1 .....1

sin²zeta - 5coszeta - 5 = 0 .....2

.......1 - .......2

cos²zeta + 5coszeta = 1

I only know just this ....

how do i find the area of parts of circles?

Answers

Answer:

Explanation below

Step-by-step explanation:

The equation for the area of a circle is pir^2

To find the area of parts of a circle you would do as the following examples:

the area of half a circle is (1/2)(pir^2)

the area of a quarter of a circle is (1/4)(pir^2)

the area of a third of a circle is (1/3)(pir^2)

the area of a tenth of a circle is (1/10)(pir^2)

100 points

The ceiling of Stacy's living room is a square that is 33 ft long on each side. Stacy knows the diagonal of the ceiling from corner to corner must be longer than 33 ft, but she doesn't know how long it is.

Solve for the length of the diagonal of Stacy's ceiling in two ways:

(a) Using the Pythagorean Theorem.

(b) Using trigonometry.

Round each answer to the nearest whole number and make sure to show all your work. (Hint: the answers should be the same!)

Answers

Answer:

47

Step-by-step explanation:

a)

a^2 + b^2 = c^2

33^2+33^2=c^2

2178=c^2

c=(nearest is 47)

b)

If you cut the square in half diagonally, it forms two right triangles with angle measures 90-45-45. You can use sin (opposite over hypotenuse) to find the length of the hypotenuse.  sin (45) would be 33/(hypotenuse length). From a trig chart, you can find that sin (45) is 1/sqrt(2), meaning that 33/x = 1/sqrt(2). This means that x=33sqrt(2), which is around 47.

The length of the diagonal of Stacy's ceiling is 46,7.

What is the Pythagoras theorem?

Pythagoras Theorem (also called Pythagorean Theorem) is an important topic in Mathematics, which explains the relation between the sides of a right-angled triangle.

The ceiling of Stacy's living room is a square that is 33 ft long on each side. Stacy knows the diagonal of the ceiling from corner to corner must be longer than 33 ft, but she doesn't know how long it is.

By using Pythagoras theorem;

[tex]\rm Hypotenuse ^2=33^2+33^2\\\\ Hypotenuse ^2=1089+1089\\\\ Hypotenuse ^2=2178\\\\ Hypotenuse =46.9\\\\[/tex]

By using trigonometry;

[tex]\rm Cos45=\dfrac{33}{d}\\\\d =\dfrac{33}{cos45}\\\\d=46.7[/tex]

Hence, the length of the diagonal of Stacy's ceiling is 46,7.

learn more about the Pythagoras theorem here;

https://brainly.com/question/343682

#SPJ2

Determine the type of triangle that is drawn below.

Answers

Answer:

equalateral

Step-by-step explanation:

hope this helps

Ursula and yi share a submarine sandwich Ursula eats 2/8 of the sandwich yi eats 3/8 of the sandwich how many of the sandwich do two friends eat

Answers

Answer:

Step-by-step explanation:

the 2 friend eat 5/8

The decimal 132.64 written in expanded form is ______.

Answers

One hundred thirty two and sixty four hundredths. I think that the answer


PLS HELP ASAP THANKS ILL GIVE BRAINLKEST


A jar has 28 cherry-flavored candies, 18 strawberry-flavored candies, and 20 orange-flavored candies. If a piece of candy is taken from the jar at random, what is the probability that it will be strawberry-flavored candy?
Group of answer choices

10/33

1/20

14/33

3/11

Answers

Answer:

3/11

Step-by-step explanation:

You add up all of the candies so 20+19+28 which is 66

18 is the number of strawberry candies so it becomes 18 over 66, 18/66

Symplify 18/66 and it becomes 3/11

pls help bru i need help

Answers

Answer: I beleive that the systems of transformation are that

Figure JKLM to Figure J' K' L' M' is a Rotation

Figure J' K' L' M' to Figure J" K" L" M" is a Dilation

Step-by-step explanation:

9. Find the area of the shaded segment. Round your answer to the nearest tenth. (1 point)
120°
6 cm
0 7.9 cm
O 120 cm
O 22.1 cm
O 36.0 cm

Answers

Answer: 22.1 cm^2

Step-by-step explanation:

I just took the practice :)

how would you change these equaions to y=mx+b form?
7x + 9y = 1
14x + 18y = 2

Answers

Answer:y=-7/9x+1/9 and y= -7/9x + 1/9

Step-by-step explanation:

Jonny's bedroom has an area of 90 square feet. What might the length and width of his bedroom be

Answers

Answer: 30 on both.

Step-by-step explanation: 30 because 3x3 is 9 so then add a zero

Answer: Area is length multiplied by width.

90=10×9

Step-by-step explanation: The sides will be multiplied to get the area.

10 And 9 are the sides

the picture is below

Answers

Answer:

-7j - k - 1  **Answer Choice B**

Step-by-step explanation:

10k + 17 - 7j - 18 - 11k

You need to find a simplified equation that is equivalent to this.

First, combine like terms (meaning coefficients with coefficients and numbers with numbers).

10k -11k + 17 - 18 -7j

-k - 1 - 7j

Rewritten:

-7j - k - 1

Answer Choice B is correct.

Pretty sure b hope it’s right

what is the mean of 25 31 12 38 12 15

Answers

Answer:

22.1666666667 ~ 22.17 (This should be rounded)

Step-by-step explanation:

The mean formula is to add all the numbers and then divide by the quantity or how many numbers were listed.

25+31+12+38+12+15/6 = mean

All the numbers added up should equal 133


You need to divide the sum by 6 since that is how many numbers that are in your data set.

The Mean of the Data set is 22.1666666667 which is approximately 22.17

An aquarium holds 56. 25 gallons of water. It has a length of 2 feet and a height of 2. 5 feet. What is the volume of the aquarium?

Answers

Wouldn’t it just be 56.25 bc it holds that much bc v=l x w x h and there is no height

What is the total amount of screen that Alice will need for her habitat?
Give an exact answer (do not round).

Answers

Answer:

SA = 3.04

Step-by-step explanation:

→ Find: Surface Area (SA)

SOLUTION:

SA = 2(1x0.8) + 2(0.4x0.8) + 2(1x0.4)

SA = 1.6 + 0.64 + 0.8

SA = 3.04

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