2,___, 8, ___, ___, 17 The first, third, and sixth terms of an arithmetic sequence are shown. What is the common difference between consecutive terms in the arithmetic sequence? Type your answer in the box. Backspace to erase.

Answer:

y=1/3x-2/5

Step-by-step explanation:

Answer: You have to save $128 more dollars.

Step-by-step explanation: The iPad costs $353 and you already have $225, so to find the answer you have you subtract what you already have from how much it costs. So 353 - 225 = 128. You need to save up $128 more dollars to get the iPad. (I think this is correct, I tried)

Answer:

it would probably be 7 hours

Answer:

n= -7

Step-by-step explanation:

subtract 3 from both sides,-6n=42,divide both sides by -6

Answer:

[tex]\boxed{n = - 7}[/tex]

Step-by-step explanation:

[tex] \boxed{you \: solve \: by \: making \to n :} \\ the \: subjet \: of \: the \: equation \to \: \\ it \: means \: making \: \to \: n : to \: stand \: on \: its \: own \to \\ - 6n + 3 = 45 \\ - 6n = 45 - 3 \\ - 6 n= 42 \\ \frac{ - 6}{ - 6} n = - \frac{42}{6} \\ \boxed{n = - 7}[/tex]

Answer:

-$11.59

Step-by-step explanation:

Bank account balance = -$58.44

Deposit $46.85.

New balance = Deposit + Bank account balance

New balance = $46.85 + -$58.44

New balance = $46.85 - $58.44

New balance = -$11.59

Answer: a

Step-by-step explanation:

Answer:

-360

Step-by-step explanation:

Use PEMDAS

Answer:

1. Train B is faster

Step-by-step explanation:

Train b travels a greater distance in 2 hours than train A.

Train B travels 250 miles in 2 hours, while Train A travels only 120 miles.

Answer:

39,000

Step-by-step explanation:

Answer:

40,000

Step-by-step explanation:

Answer:

79.5

Step-by-step explanation:

==========================================

Explanation:

Let's start off counting the number of ways to form the panel that doesn't have Allen or Joe on it. In other words, both are not on the panel.

There are 22 students, but we want to exclude 2 of them (Allen and Joe) from the panel. So in reality, we only have 20 students to pick from. There are 6 slots to fill.

The first slot has 20 choices

The second slot has 19 choices

The third has 18 choices

And so on. We count our way down until all six slots are filled. We'll have this sequence of six values: 20, 19, 18, 17, 16, 15

They multiply out to 20*19*18*17*16*15 = 27,907,200

This is the number of permutations where we choose 6 from a pool of 20.

With permutations, order matters; however, order doesn't matter on this panel. All we care about is the group overall.

So we must divide by 6! = 6*5*4*3*2*1 = 720 and we get

(27,907,200)/(720) = 38,760

There are 38,760 different combinations, so there are 38,760 different panels where neither Allen nor Joe are selected.

We'll use this later later, so let A = 38,760

------------------------------------------------------

Now onto the next part. We need to count the total number of possible panels, and this time we're including Allen and Joe.

We have our original total of 22 students. There are still 6 seats to fill.

We could follow the same steps as the prior section, but I'll use a different route.

Let n = 22 and r = 6. Plug these values into the nCr combination formula below

[tex]_n C_r = \frac{n!}{r!*(n-r)!}\\\\_{22} C_6 = \frac{22!}{6!*(22-6)!}\\\\_{22} C_6 = \frac{22!}{6!*16!}\\\\_{22} C_6 = \frac{22*21*20*19*18*17*16!}{6!*16!}\\\\_{22} C_6 = \frac{22*21*20*19*18*17}{6!}\\\\_{22} C_6 = \frac{22*21*20*19*18*17}{6*5*4*3*2*1}\\\\_{22} C_6 = \frac{53721360}{720}\\\\_{22} C_6 = 74613\\\\[/tex]

There are exactly 74,613 ways to form a committee of 6 people from a pool of 22 total.

Let B = 74,613

------------------------------------------------------

To find the probability of neither Allen or Joe are on the committee, we divide the values of A and B found earlier

A/B = (38,760)/(74,613) = 0.5194805

This value is approximate.

Rounding to three decimal places, or rounding to the nearest thousandth, leads to the final answer 0.519

There's roughly a 51.9% chance of forming a panel where neither Allen nor Joe are members.

Answer:

15.6 meters in a minute

Step-by-step explanation:

Here's why:

1 centimeter= 0.01 meter

So, if you have 26 cm, that equals 0.26 meters.

Now, we know that there are 60 seconds in a minute.

So, we have to do 0.26 times 60 which equals 15.6 meters.

I hope this helps you! :)

Answer:

765

44

81

1504

26

216

product

colourful stickers

27 x 3

684 and 820

Step-by-step explanation:

Answer:

The estimated number of bacteria after 20 hours is 40.

Step-by-step explanation:

This is a case where a geometrical progression is reported, which is a particular case of exponential growth and is defined by the following formula:

[tex]n(t) = n_{o}\cdot \left(1+\frac{r}{100} \right)^{t}[/tex] (1)

Where:

[tex]n_{o}[/tex] - Initial number of bacteria, dimensionless.

[tex]r[/tex] - Increase growth of the experiment, expressed in percentage.

[tex]t[/tex] - Time, measured in hours.

[tex]n(t)[/tex] - Current number of bacteria, dimensionless.

If we know that [tex]n_{o} = 30[/tex], [tex]r = 1.4[/tex] and [tex]t = 20\,h[/tex], then the number of bacteria after 20 hours is:

[tex]n(t) = 30\cdot \left(1+\frac{1.4}{100} \right)^{20}[/tex]

[tex]n(t) \approx 39.616[/tex]

[tex]n(t) = 40[/tex]

The estimated number of bacteria after 20 hours is 40.

Substitute x = 3 - 2 cos(θ) and dx = 2 sin(θ) dθ (where "sin" = "sen"). So we have

∫ sin(θ) / (3 - 2 cos(θ)) dθ = 1/2 ∫ 1/x dx

= 1/2 ln|x| + C

= 1/2 ln(3 - 2 cos(θ)) + C

(We can remove the absolute value because -1 ≤ cos(θ) ≤ 1, so 1 ≤ 3 - 2 cos(θ) ≤ 5, and |x| = x when x ≥ 0.)

Answer:

:⊃

Step-by-step explanation:

Answer:

The village market

Step-by-step explanation:

Price per can at the village market

= 2.30÷5

= $0.46

Price per can at Best Food

=5.10÷10

= $0.51

Answer:

Village market

Step-by-step explanation:

Find the unit rate at village market and Best food and compare.

Village market:

Rate per can  = 2.30 ÷ 5

                      = $ 0.46

Best food:

Rate per can = 5.10 ÷ 10

                     = 0.51

0.46 < 0.51

Buying can from village market is best buy as that is less priced

Answer:

468,119 < 486,191

Step-by-step explanation:

compare the left numbers. Four is equal to four, so go right. 6 is less than 8, so 468,119 < 486,191

Answer:

66.4, 70.4, 223.2

Step-by-step explanation:

make the equation x + (x+4)+ 3x+24=360

then it's 5x+28=360

subtract 28 on both sides

5x=332

then divide by 5 on both sides

x=66.4

then, just plug in the numbers

Answer:

5 inches

Step-by-step explanation:

formula for cube volume is l^3

so 5^3 is equal to

5 x 5 x 5

which is

25 x 5

equals

125

Hope this helps!

Answer:

5 inches

Step-by-step explanation:

V=a^3

5^3 is 125 so the answer is 5

Answer: true

Step-by-step explanation:

right on edg

Answer: c

Step-by-step explanation:

3/4x = 21/2

Answer:

the graph is (0,2)

Step-by-step explanation:

Answer:

it would probably be t series

Answer:

It's the third answer.

Step-by-step explanation:

Maths

Answer:

independent

Step-by-step explanation:

Answer:

you have a 1 in 4 chance or 25% chance

Step-by-step explanation:

there is 20 balls and 5 are black, right? And if you do 5/20 it eachs 1/4 or 0.25.

Answer:

4c+6≤−10

4c+6−6≤−10−6 ... subtract 6

4c≤−16...divide both sides by 4

final: c≤−4

5c-3>2

5c-3>2...add 3

5c>5...divide by 5

c>1

Answer:

Ancwer is C

Step-by-step explanation:

Answer:-0.6

Step-by-step explanation:

thank me later lol