The first five terms in a pattern of numbers are shown. 2.4, -3.4, -9.2, 15, -20.8, If the pattern continues, which expression can be used to find the n term? A 5.8 - 3n B -- 3 -- 5.8 C8.2 -- 5.8 D 5.8 - 8.2n​

Answers

Answer 1

Answer: C, 8.2 - 5.8n

Answer 2

The expression for the nth term will be 8.2 - 5.8n. Then the correct option is C.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The first five terms in a pattern of numbers are shown. 2.4, -3.4, -9.2, -15, -20.8. Then the equation is given as,

At x = 1, y is 2.4.

2.4 = m + c           ...1

At x = 2, y is -3.4.

-3.4 = 2m + c          ...2

From equations 1 and 2, then we have

m = -3.4 - 2.4

m = - 5.8

Then the value of 'c' is given s,

2.4 = -5.8 + c

c = 8.2

Then the equation is given as,

y = 8.2 - 5.8x

If the pattern continues. Then the expression for the nth term is given as,

y = 8.2 - 5.8n

The expression for the nth term will be 8.2 - 5.8n. Then the correct option is C.

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Related Questions

Select the correct answer.What is 2/5 divided by 4/7 by equal to?A.7/5 B.7/10 C.10/7 D.7/5

Answers

the answer would be A . 7/5

Answer:

5/7

Step-by-step explanation:

5/7

It is always good to double-check your math to make sure you did it right. When I entered 4/7 for x in this equation x / (4/5) = (5/7), we get the following true equation which means the math is correct.

(4/7) / (4/5) = (5/7)

What is 5/9 divided by 4/9 answer

Answers

Answer:

1.25

Step-by-step explanation:

5/9 divided by 4/9 is 1.25

The graph represents a quadratic function. Write the function in vertex form.

Answers

Answer:

y=3(x+3)^2-8

Step-by-step explanation:

Vertex form:

y=a(x-h)^2+k

h=-3, k=-8

y=a(x+3)^2-8

sub (-4,-5)

-5=a(-4+3)^2-8

a=3

y=3(x+3)^2-8

andrea needs a new air conditioning system

Answers

Answer:

She should buy one that accords to her budget and her needs

What is the slope of the line passing through the points (-3, 4) and (2, -1)?

Answers

Answer:

- 1

Step-by-step explanation:

Mathematically, slope = (y2 - y1)/(x2 - x1)

Here,

(x1, y1) = (-3, 4) ; (x2, y2) = (2, - 1) or vice versa

Slope = (-1 - 4)/(2 - (-3))

= -5/5

= - 1

Pls help .............................

Answers

Pythagorean theorem you times 40 by 2 then 9 by 2 then square root

Plzzzzzzz help this is tonight plzzzzzzz

Answers

Answer:

Step-by-step explanation:

tto blurrry

In a bowl that has 12 jolly ranchers candies, there are 3 Yellow 5 Red and 4 Green. you pick two of these Jolly Ranchers from the bowl WITHOUT REPLACEMENT.
1 find the probability that both candies are red?

Answers

Answer:

0.15 or 20/132 or 5/33 or 15%

Step-by-step explanation:

5/12 is the probability for the first red candy.

The question says "without replacement" meaning that if one candy is picked it will NOT be picked again and it will not go back to the original bowl. The second red candy is 4/11 (one red candy was already taken out from the first event). Multiply 5/12 and 4/11 to get 20/132. That is simplified to be 5/33 but if you divide it will 0.15 and as a percent it would be 15%.

The term-to-term rule for a sequence is " Add 1 and then double"
The first two terms are 2 and 6
Find the next term

Answers

i’m sorry, i don’t know.. :(

The next term of the sequence is 14.

What is Sequence?

A sequence in mathematics is a ordered set of objects or numbers which are related with something.

For example, 1, 3, 5, ..... is a sequence of odd numbers.

Given that,

The term-to-term rule for a sequence is " Add 1 and then double"

First term = 2

Second term = 6

6 is got by adding 1 to 2 and then doubling it.

2 + 1 = 3

3 × 2 = 6

In the same way,

Third term = (6 + 1)2 = 7 × 2 = 14

Hence the next term of the sequence is 14.

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Please help me with this! I need this ASAP! Please help!

Answers

Answer:

The 2nd and 3rd boxes are right, that is :-

* 2b is a term

and

* 9 is a constant

Find the whole number that satisfies the following conditions:
it is an integer between 1 and 40 inclusive
The number is a multiple of 4 but not a multiple of 8
3 is a factor of this number
The number is a square number

Answers

Answer:

36

Step-by-step explanation:

Multiples of 4 (from 1-40)

4, 8, 12, 16, 20, 24, 28, 32, 36, 40

Multiples of 8 (from 1-40)

8, 16, 24, 32, 40

4, 12, 20, 28, 36 is one of them. Find out the factors of the 5 numbers.

4 = 1 x 4

12 = 1 x 12

= 2 x 6

= 3 x 4

20 = 1 x 20

= 2 x 10

= 4 x 5

28 = 1 x 28

= 2 x 14

= 4 x 7

36 = 1 x 36

= 2 x 18

= 3 x 13

= 4 x 9

= 6 x 6

That's about it, so 12 or 36 is the answer. Now find out which of the 2 numbers is a perfect square.

To find out a perfect square, the 2 numbers multiplying in have to be the same number.

6 x 6 = 36

So 36 is a perfect square since there are no 2 numbers which are the same value that can make up 12.

PLS HELP MEEEEEEEEEEEEEEEEEE

Answers

Answer:

9.42477796 ≈ 9.4

Step-by-step explanation:

Ao= π*r

    = π*(6/2)

    =π*3= 9.42477796 ≈ 9.4

Which method is the best method for solving the equation?
[tex]8x^{2} - 13x + 3 = 0[/tex]

Answers

Answer:

Step-by-step explanation:

Which Method Should Be Used to Solve a Quadratic Equation? Quadratic equations are of the form ax2 + bx + c = 0 where a, b and c are real numbers, a ≠ 0. Quadratic equations have two solutions, but it is possible that one solution may repeat. happy to help

What is the slope of the line?

Answers

Answer: 2

Step-by-step explanation:

Find the volume of a pyramid with a square base, where the side length of the base is
16.1 cm and the height of the pyramid is 10 cm. Round your answer to the nearest
tenth of a cubic centimeter.

Answers

Answer:

864cm^3 used the proper equation.

Information about three circles is listed below.

• Circle P has a diameter of 26 cm.
• Circle Q has a diameter of 52 cm.
• Circle R has a radius of 52 cm. Based on this information, which statement is true?



A.The diameter of circle P is the same length as the diameter of circle R.

B. The radius of circle P is the same length as the radius of circle Q.

C The diameter of circle P is the same length as the radius of circle Q.

D. The radius of circle P is the same length as the diameter of circle R.​

Answers

Answer:

C The diameter of circle P is the same length as the radius of circle Q.

Step-by-step explanation:

Bill has 40 apples. Laurie has 8 times as
many apples.

Answers

If Laurie had 8 times as many apples as Bill's 40 apples, the equation would be 40 x 8. 40 x 8 = 320 :)

Answer:

320man zaans

Step-by-step explanation:

how many solutions does the system of equations have y-5x=-6 and 3y-15=-12​

Answers

Answer:

one solution

Step-by-step explanation:

to understand thisyou need to know about:system of linear equationPEMDAStips and formulas:a system of linear equation has only one solution if [tex]\frac{a_1}{a_2}\neq \frac{b_1}{b_2}[/tex]let's solve:

define a,b

[tex]a_1=1[/tex][tex]a_2=3[/tex][tex]b_1=-5[/tex][tex]b_2=-15[/tex][tex] \sf substitute \: the \: value \: of \: a_1\: a_2 \: b_{1}\: b_{2} : \\ \sf \frac{1}{3} \neq \frac{ - 5}{ - 15} \\ \sf \frac{1}{ 3} \neq - \frac{1}{3} [/tex]

therefore

the system of linear equation has only one solution

Fred bought 9 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 43 cards left. How many cards did Fred start with ?

Helpp I need this todayyyyyy

Answers

Answer:

86 - 9 = 77

Step-by-step explanation:

Find the area of the shape shown below.

Answers

Answer:

10 square units.

Step-by-step explanation:

Remark

No matter how weird it looks, the figure is a trapezoid. It has 2 parallel lines.

The height has 2 right angles, one at each end.

Givens

b1 = 2

b2 = 8

h = 2

Formula

Area = 1/2 * (b1 + b2 ) * h

Solution

Area = 1/2 * (2 + 4 + 2 + 2) * 2    Be sure you understand where all those 2s came from.

Area = 10 square units

a D.J. at a school dance plans to play dance music for 2 hours. she has 20 requests for songs. Each song plays for 3 1/2 minutes. if she plays all of the requests. How much time will she have to play other songs?

Answers

So, put 2 hours into minutes. You get 120. Now, seeing how you have 20 song requests, and each one takes 3.5 minutes, multiply those two values. Now you have 70. After doing that, just subtract 70 from 120 and get 50.

tada

answer is 50

What is the product of 3/7x2/5

Answers

Answer:

0.1714285714285714

Step-by-step explanation:

Anyone know? Thanks

Answers

Answer:

the answer is the x-intercepts are about(0,-6) and (0,2) hope this helps

Step-by-step explanation:

Brainliest if correct Multiply 3/7 by 4/5

Answers

Answer:

Step-by-step explanation:

x1 / y1    times x2 / y2       where are two fractions

x1/y1 times x2/y2   = x1 times x2 / y1 times y2   = z1 / z2    z is a new fraction

fractions multiply like regular wholes number, which can also be represented in fractional form

Examples:

2/1   times 3/1 = 2x3 /1x1   6/1

10/2 x 18/3 = 180/6     now look at 10/2 = 5     18/3 = 6    5x6 =  30    

  5  x    6    = 30

Now apply to your fractions:

3/7 x 4/5   =   3x4 / 7x5    

12/35  

Ben starts walking along a path at 2 mi/h. One and a half hours after Ben leaves, his sister Amanda begins jogging along the same path at 7 mi/h. How long (in hours) will it be before Amanda catches up to Ben?

Answers

Answer:

Amanda will catch up Ben after 0.6 hours.

Step-by-step explanation:

Amanda begins jogging along the same path at 7 mi/h.

This means that Amanda's position, after t hours, is given by:

[tex]A(t) = 7t[/tex]

Ben starts walking along a path at 2 mi/h.

Amanda leaves after one and a half hour, which means that Ben will be at position 2*1.5 = 3. So Ben's position after t hours is given by:

[tex]B(t) = 3 + 2t[/tex]

How long (in hours) will it be before Amanda catches up to Ben?

This will happen when:

[tex]A(t) = B(t)[/tex]

So

[tex]7t = 3 + 2t[/tex]

[tex]5t = 3[/tex]

[tex]t = \frac{3}{5}[/tex]

[tex]t = 0.6[/tex]

Amanda will catch up Ben after 0.6 hours.

It would take Amanda 0.6 hours or 6/10 hours to catch up with Ben.

This question comes from a topic in mathematics called rates and it's used to compare two values with each other and how one value affects the other value.

Let s represent the distance Amanda travels until she meet Ben.

We can set a timer on our phone when she leaves in order to track the time taken.

Let t represent the time taken.

Set of Equation

We can come up with two equations from these scenario

d - 3 = 2t------ equation (i)d = 7t ----- equation (ii)

Substitute equation (ii) into equation (i)

[tex]7t -3 =2t[/tex]

collect like terms

[tex]7t-2t=3\\5t=3\\t=3/5\\t=0.6[/tex]

From the above, we can see it took her 0.6 hours to catch up with Ben.

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A. 10
B. 29
C. 8
D. 25

Answers

Answer:

8

Step-by-step explanation:

18/12 = 1.5

1.5*16 = 24

24/3 = 8

Suppose a tree limb falls on your house during a storm and causes $9,500 worth of damage to your pool cage. The premium for your homeowners insurance is $150/month, and your deductible is $4,000 with an out-of-pocket maximum of $10,000. If this event is a covered event, how much will you need to pay a contractor to repair the damage to the pool cage?

A: $4000
B: $9500
C$10,000

Answers

Answer:B

Step-by-step explanation:

The amount you need to pay a contractor to repair the damage to the pool cage should be considered as the option b $9,500

Calculation of the amount:

Since the amount of $9,500 should be considered as the worth of damage to your pool cage.

Also there are other charges like premium, deductible amount, pocket maximum amount, etc.

So based on the payment only $9,500 should be conisdered.

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Look at the picture please!!!!

Answers

Answer for 1:

8x + 10

Answer for 2:

2x + 1

Answer for 3:

-3x - 15

Answer for 4:

2x + 10

Answer for 5:

-3x - 5

Answer for 6:

-17x - 3

Answer for 7:

8x - 18

Answer for 8:

-x + 4

Answer for 9:

4.8x + 5.6

Answer for 10:

1.25x + 1

Answer for 11:

The Dolphins won 7x + 10 more points than the Jaguars

Answer for 12:

The sandwich costs x + 1.01 more than the drink

Answer for 13:

Tuition costs 7x + 25 more than fees

Tuition costs 7x + 72 more than rooms and board

Answer:

1. 9x squared + 34x +21

2. 2x + 1

3. -3x + 15

4. 2x + 10

5. 14x + 3

6. -17x - 3

7. 8x- 18

8. -x + 4

9. -4.8x + 5.6

10. -1.25x + 0.2

11. 7x-4

12. x + 1.01

13. 6x + 22

I think these are the correct answers. Sorry if I'm wrong. I hope this helped!

Step-by-step explanation:

The area of the base is given by The volume of a hexagonal prism is given by 35x ^ 5 + 20x ^ 4 - 57x ^ 3 + x ^ 2 + 18x - 30 5x ^ 2 - 6 Find an expression for the height of the hexagonal prism.

Answers

Answer:

Step-by-step explanation:

The height of given hexagonal prism is 7x³+4x²-3x+5.

Given that, the volume of a hexagonal prism is [tex]35x ^ 5 + 20x ^ 4 - 57x ^ 3 + x ^ 2 + 18x - 30[/tex] and the area of the base is 5x² - 6.

What is a hexagonal prism volume?

A hexagonal prism is a three-dimensional solid shape with 8 faces that including hexagon bases.

Volume of a hexagonal prism = Area of a base × Height.

Here, [tex]35x ^ 5 + 20x ^ 4 - 57x ^ 3 + x ^ 2 + 18x - 30[/tex] = 5x² - 6 × Height

Height = [tex]35x ^ 5 + 20x ^ 4 - 57x ^ 3 + x ^ 2 + 18x - 30[/tex] ÷ 5x² - 6

5x² - 6| [tex]35x ^ 5 + 20x ^ 4 - 57x ^ 3 + x ^ 2 + 18x - 30[/tex] | 7x³+4x²-3x+5

            [tex]35x^5[/tex]           (+) 42x³

          ____________________

                       [tex]20x^4[/tex] - 15x³+x²+18x-30

                    (-)[tex]20x^4[/tex]   (+)24x²

           ____________________

                          - 15x³+25x²+18x-30

                        (+)15x³         (-)18x

                      ____________________

                                     25x²-30

                                  (-)25x²(+)30

                           ___________________

                                           0

So, height = 7x³+4x²-3x+5

Therefore, the height of given hexagonal prism is 7x³+4x²-3x+5.

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please help me please i really need help please

Answers

9514 1404 393

Answer:

  62°

Step-by-step explanation:

Angles A and H are alternate exterior angles, so are congruent.

  ∠H = 62°

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