Tell whether each sequence is arithmetic. Justify your answer. If the sequence is arithmetic, write a recursive formula and an explicit formula to represent it.

1. 0.3, 0.9, 1.5, 2.1

2. 1, 8, 27, 64

Answer:

a) 27 - 8= 19 pages of stamps

b) 16 × 3 = 48 DVDs

c) 35km - 19km = 16km

Answer:

  x ≤ 5 5/8

Step-by-step explanation:

  8x +15 ≤ 60 . . . . . . given

  8x ≤ 45 . . . . . . . . . subtract 15

  x ≤ 5 5/8 . . . . . . . . divide by 8

The graph is a solid dot at x = 5 5/8, with shading extending to the left.

Answer:

if you're doing the scale factor of small to big it would be 1/4, but if you're doing from big to small it would be 4

Using the t-distribution, it is found that since the test statistic is greater than the critical value, the sample information supports the suspicion that the average strength of corrugated fiberboards from Firm 1 is three pounds per square inch higher than that from Firm 2.

At the null hypothesis, we test if the average strength of corrugated fiberboards from Firm 1 is not three pounds per square inch higher than that from Firm 2, that is, we test if the subtraction of the means is at most 3, hence:

[tex]H_0: \mu_1 - \mu_2 \leq 3[/tex]

At the alternative hypothesis, we test if the difference is more than 3, that is:

[tex]H_1: \mu_1 - \mu_2 > 3[/tex]

The mean and the standard deviation for both tests are:

[tex]\mu_1 = 366, s_1 = 11.67[/tex]

[tex]\mu_2 = 357.4, s_2 = 4.27[/tex]

The standard errors are:

[tex]s_1 = \frac{11.67}{\sqrt{9}} = 2.9175[/tex]

[tex]s_2 = \frac{4.27}{\sqrt{10}} = 1.35[/tex]

The distribution of the difference has mean and standard deviation given by:

[tex]\overline{x} = \mu_1 - \mu_2 = 366 - 357.4 = 8.6[/tex]

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{2.9175^2 + 1.35^2} = 3.2147[/tex]

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{s}[/tex]

In which [tex]\mu = 3[/tex] is the value tested at the null hypothesis.

It's value is:

[tex]t = \frac{\overline{x} - \mu}{s}[/tex]

[tex]t = \frac{8.6 - 3}{3.2147}[/tex]

[tex]t = 1.742[/tex]

The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with 9 + 10 - 2 = 17 df and a significance level of 0.05 is [tex]t^{\ast} = 1.7396[/tex]

Since the test statistic is greater than the critical value, the sample information supports the suspicion that the average strength of corrugated fiberboards from Firm 1 is three pounds per square inch higher than that from Firm 2.

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Answer:

0

Step-by-step explanation:

Answer:

2 months

Step-by-step explanation:

To solve this equation create an expression for the cost of each club. Use the slope-intercept form of y=mx+b where m is the monthly fee and b is the flat fee. So the 2 expressions would be A) 29x+14 and B) 22x+28. Since we want to find when these are equal, set the expressions equal to each other. This gives the equation 29x+14=22x+28. Then, solve for x.

When solved, x=2. This means that after 2 months the cost of each will be the same.

Answer:

4.4 < x < 18.8

Step-by-step explanation:

11.6 - 7.2 = 4.4

11.6 + 7.2 =18.8

Answer:

y ≥ -0.5

Step-by-step explanation:

First, we can substitute 4 in for x in the inequality.

4 - 2y ≤ 5

Now, to solve for y, we start by subtracting 4 from both sides:

-2y ≤ 1

And divide by -2.  When dividing or multiplying by a negative number while solving an inequality, we also have to remember to switch around the inequality sign.  This gives us:

y ≥ [tex]\frac{1}{-2}[/tex] or y ≥ -0.5

Therefore, the possible values of y are -0.5 or greater.

Answer:

the pool with 40m³ of water in it is 1.25m deep

Step-by-step explanation:

first convert 150 cm to 1.5m

2nd 8m l × 4m w × 1.5m d = 48m³

3rd divide 40m³ by 8m l × 4m w or 32m²

40m³/32m² = 1.25m deep

Answer:

it would have to be 5:30 if not then 5:00 but i really think it is 5:30

Step-by-step explanation:

it has the small hand behind the 6 and the big hand at 6 so the would be 30 minutes so for that reason i say 5:30

Answer:

Yes, he can swim 100 lengths in under 45 minutes.

Step-by-step explanation:

First we divide 100 by 5

100 ÷ 5 = 20

Now we can multiply this by 130 seconds

Now we have 2600 seconds

Since 1 minute is 60 seconds we divide 2600 by 60 seconds

2600 ÷ 60, this gets us 43.33... minutes, which is less than 45 minutes.

This is all assuming his rate is constant.

Micheal takes 43.333 minutes to swim 100 lengths.

Length is a measurement or extent of something from one end to another end.

The SI unit of length is meter.

Given that,

To cover 5 lengths, time taken by Micheal =  130 seconds,

Therefore,

Time taken by Micheal to cover 1 length = 130/5 = 26 seconds

Time to cover 100 length = 26×100=2600 seconds

1 minute = 60 seconds

100 length is covered = 2600×1/60 minute

                                    = 43.333 minute

So, To swim 100 lengths Micheal takes 43.333 minutes, which is under 45 minutes.

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Step-by-step explanation:

remember the domain is the interval or set of valid input (x) values. the range is the interval or set of the valid result (y) values.

so, the given domain tells us the interval to look at.

what are the functional values of the function between 0 and 50 ?

since the function is continuous (there are no gaps) in this interval, we can safely assume that all values between f(0) and f(50) are valid y values.

f(0) = 4×0 + 5 = 5

f(50) = 4×50 + 5 = 205

so, the range is 5 <= y <= 205

Answer:

1. = 3xy + x - 2y - 4

2. = d^2(2c^3-8c^2d+3d^2)

Step-by-step explanation:

= 9x^2y^2 + 3x^2y - 6xy^2 - 12xy/3xy

First factor the top equation ….

= 3xy(3xy + x - 2y - 4)/3xy

If the top and the bottom both carry 3xy, you can cancel out both of them leaving you with ….

= 3xy + x - 2y - 4

= -16c^6d^6 + 64c^5d^7 - 24c^3d^8/-8c^3d^4

First factor the top equation ....

= -8c^3d^6(2c^3-8c^2d+3d^2)/-8c^3d^4

If the top and the bottom both carry -8c^3 you can cancel out both of them leaving you with ….

= d^6(2c^3-8c^2d+3d^2)/d^4

Apply the exponent rule with d^6 ....

= d^4d^2(2c^3-8c^2d+3d^2)/d^4

cancel out d^4 ....

= d^2(2c^3-8c^2d+3d^2)

Answer:

B

Step-by-step explanation:

We can multiply both sides by 2 to get rid of the fraction and get:

t ≥ 11 × 2 ->

t ≥ 22.

Hope that helps! :)

Answer:

B: t  ≥ 22

Step-by-step explanation:

Answer: Cheryl earns $6.20 more per hour.

Step-by-step explanation:

$/hr    OT   $/hr OT

 18     1.5      27

 16.6    2       33.2

Cheryl wins the overtime pay rate with $33.20/hr OT (OverTime).  She earns $6.20 more per hour.  [How's it feel, Colby?].

Cheryl earns more from overtime than Colby by $6.2 per hour.

Given that,
Colby regularly earns $18 per hour, and he is paid time-and-a-half for each hour of overtime he works.
Cheryl regularly earns $16.60 per hour, and she is paid double time for an hour of overtime.
To determine who earns more for one hour of overtime and wow much more.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
From given
The factor of earning overtime for Colby = 1.5
earning of from overtime for an hour of Colby = 18 * 1.5 = $27
The factor of earning overtime for Cheryl = 2
earning of from overtime for an hour of Cheryl  = 16.60 * 2= $33.20

So,
33.20 > 27
Implies
Their overtime earnings

of Cheryl is greater than Colby's by 33.20 - 27 = $6.2 per hour.

Thus, Cheryl earns more from overtime than Colby by $6.2 per hour.

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Step-by-step explanation:

To easily solve this problem we need to know two facts:

Slope-intercept form

Since 3x - 4y = 12

         3x - 12 = 4y

                  y = ³/₄ x - 3

         ∴ y-intercept is (0, -3)

Solve for x when y = 0

Since 3x - 4y = 12

         3x - 4(0) = 12

                    x = 4

∴ x-intercept is (4, 0)

We can check our answer by graphing the line and seeing if it passes through the intercepts we calculated. Since it does (see graph below), then the answers we calculated are correct.

Step-by-step explanation:

given,

MP = x - 8

PN = 3x - 9

MN = 21

we know,

according to segment addition postulate AB + BC = AC

now,

MP + PN = MN

→ x - 8 + 3x - 9 = 21

→ 4x - 17 = 21

→ 4x = 21 + 17

→ 4x = 38

→ x = 38/4 = 9

→ x = 9

therefore, value of x is 9.

hope this answer helps you dear! take care

Answer:

Step-by-step explanation:

A. What is the ratio of songs by the group from Michigan to the number of songs played?  3/15

B. In lowest terms, 3/15 is 1/5.

C. Suppose the station continues to play the ratio of songs. How many songs from the Michigan group will Blake hear in the next three hours?  To answer this, multiply the 1-hour unit rate by 3:  3*3 = 9 Michigan group songs over the next 3 hours.

Answer:

[tex]12 + 12 + 12 = 36 \\ \\ \\ i \: hope \: it \: is \: helpfull[/tex]

Answer:

If three sides of one triangle are congruent to three corresponding sides of another triangle, then the triangles re congruent.  SSS

Step-by-step explanation:

or If two sides and the included angle of one triangle are congruent to the corresponding sides and the included angle of another triangle, then the triangles are congruent.  SAS

Answer:

2 exponent 5 = 32

5 exponent 3 = 125

2 - exponent 4 = 1/16

5 - exponent 2 = 1/25

Step-by-step explanation:

Answer:

4.8

Step-by-step explanation:

Not sure if this is what you're asking but because it is equilateral each side is the same. So you divide 14.4 by 3, to get 4.8.

Answer:

For starters how much does it cost to rent out the shoes

2nd of all how much does it cost too play each game ??

Step-by-step explanation:

ill answer just gimme the info pls

Answer:

The answer is 18

Step-by-step explanation:

4050/225 = 18

Therefore 4050/18 = 225

It is 80%

8 divied by 10 is 0.8. Which is 80%

Answer:

8 out of 10 is the same thing as saying [tex]\frac{8}{10}[/tex] so it would be 80%

Step-by-step explanation:

8 ÷ 10 = 0.8 = 80%

Answer:

You have A correct and I think B, is the second one

Step-by-step explanation:

You already have A correct as I solved the problem quickly (if you want a explanation I can give one) then the second one for B makes sense as it explains the same problem that was correct on question A. If you want more of a explanation I can give one

Answer:

How much did she start with tho???

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:she can make 4 batches of brownies

Step-by-step explanation:

since she already made a batch of brownie with 1/2 cup and she has 3/2 cups left, that means she can make 3 more

3+1=4

hope this helps

Step-by-step explanation:

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