what is the explicit formula for this sequence?
-8,-3,2,7
A)an=12+(n-1)5
B)an=-8+(n-1)5
C)an=5+(n-1)(-8)
D)an=-8+(n-1)(-5)

Answer:

The Answer is gonna be 7/8 x 4 =3.5

This is the right Answer :3

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The baker can make 13 loafs of bread using 85 cups of flour using 6 1/4 c of flour for each loaf of bread.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, A baker has 85 cups (c) of flour to make bread she uses 6 1/4 c of flour for each loaf of bread.

Now, The fraction 6 1/4 can be written as 25/4.

Therefore, The number of bread loaf the baker can make is,

= (85/25/4).

= 85×(4/25).

= (17×4)/5.

= 68/5.

= 65/5 + 3/5.

= 13 + 3/5.

So, he can make 13 bread loafs.

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Using the arc length formula,

[tex]S=9\left(\frac{3\pi}{4} \right) \approx \boxed{21.2}[/tex]

a) The total cost of buying the car with HST is given as follows: $36,160.

b) The amount of money saved by the customer leasing the car instead of buying is given as follows: $14,760.

c) The customer should lease a new car, as according to the two options in this problem, leasing is more economic than purchasing a new car.

The costs are obtained applying the proportions in the context of this problem.

The HST tax is the Ontario Sales Tax, which means that an additional 13% of taxes has to be paid when purchasing the car.

Hence the total cost of buying the car, considering the HST tax, is given as follows:

1.13 x 32000 = $36,160.

The costs for leasing the car are given as follows:

Hence the total cost for leasing the car is given as follows:

1000 + 48 x 425 = $21,400.

Then the amount saved by the customers when he/she decides to lease the car instead of purchase is given as follows:

36160 - 21400 = $14,760.

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Answer:

B.)

Step-by-step explanation:

cosine is adjacent/hypotenuse

24/25

Answer: 24/25 (choice B)

This is because cosine of an angle is the ratio of the adjacent and hypotenuse

So,

cos(angle) = adjacent/hypotenuse

cos(a) = 24/25

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

Extra info:

Something like 7/25 would be for the sin(a) value, and 7/24 is tan(a). The reciprocal of 7/24 leads to 24/7, which is the value of cot(a).

Answer:

y = 8x + 12

Step-by-step explanation:

Slope-intercept form is y = mx + b where  m  is the slope and  b  is the y-intercept.

The problem just handed you everything you need!  Awesome!

Replace  m  with 8.  Replace b with 12.

If a line crosses the y-axis at (0, b), then b is the y-intercept.

Answer:

hey

Step-by-step explanation:

plea se solve step by step solve

it's very urgent plzz

Answer:

a cylinder.

Step-by-step explanation:

I hope this helps

Answer:

A..is the answer of the question

Answer:

Polyhedron, Prism and Solid

Answer:

They are convex, all sides are congruent, their angles are congruent, and the sum of their exterior angles is 360º.

Step-by-step explanation:

Answer:

[tex]P(Black \ge 1) = \frac{55}{64}[/tex]

Step-by-step explanation:

Given

The attached tree diagram

Required

[tex]P(Black \ge 1)[/tex] --- at least 1 black socks

To do this, we consider the following selections of black (b)

[tex]b = \{BB, BW, WB\}[/tex]

Where

[tex]B\to Black[/tex]

[tex]W\to White[/tex]

From the attached tree diagram, we have:

[tex]BB =\frac{25}{64}[/tex]

[tex]BW =\frac{15}{64}[/tex]

[tex]WB =\frac{15}{64}[/tex]

So:

[tex]P(Black \ge 1) = BB + BW + WB[/tex]

[tex]P(Black \ge 1) = \frac{25}{64} + \frac{15}{64} + \frac{15}{64}[/tex]

Take LCM

[tex]P(Black \ge 1) = \frac{25+15+15}{64}[/tex]

[tex]P(Black \ge 1) = \frac{55}{64}[/tex]

9514 1404 393

Answer:

  x = -6 or -4

Step-by-step explanation:

Maybe you want to know the x-intercepts. They are found by ...

  0 = (x +5)² -1 . . . . . divide by -4

  1 = (x +5)² . . . . . . . add 1

  ±√1 = x +5 . . . . . . square root

  -5 ± 1 = x . . . . . . subtract 5

  x = -6 or -4

__

The vertex is (-5, 4). The parabola opens downward, so the vertex is a maximum. The range of the function is (-∞, 4]. The vertical scale factor is -4, so the graph will appear narrower than that of the parent function.

Answer:

37.04%

Step-by-step explanation:

To find the percentage increase in the value of Tessa's stock, we need to calculate the difference between the original price and the current price, and then divide that difference by the original price, and multiply by 100 to express the result as a percentage.

Here is the calculation:

percentage increase = ((284.96 - 208.00) / 208.00) * 100

= (76.96 / 208.00) * 100

= 37.04 * 100

= 37.04%

So Tessa's stock has increased in value by 37.04%.

Answer:

37 % increase

Step-by-step explanation:

To find the percentage increase, take the new amount and subtract the original amount

284.96 -208 =76.96

Divide this by the original amount

76.96/208=.37

Change the decimal form to a percent

.37 * 100% = 37 %

Answer:

B) 3:00

Step-by-step explanation:

Its B the answer is 3:00

A 90% confidence interval for the population mean is; CI = (163.355, 166.655)

The formula to find the confidence level here is;

CI = x' ± z(s/√n)

Where;

CI is confidence  level

z-score at confidence level

x' is sample mean

s is standard deviation

n is sample size

We are given;

Sample mean; x' = 165

Sample size; n = 20

standard deviation; s = 4.5

z at CL of 90% = 1.645

Thus;

CI = 165 ± 1.645(4.5/√20)

CI = 165 ± 1.655

CI = (163.355, 166.655)

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Answer:

yes

Step-by-step explanation:

51 to nearest ten is 50

37 to nearest ten is 40

50 * 40 = 2000

and it's an estimate so yes

The inequality g(30) ≥ 20 us that: D. Mona found no more than 20 seashells in the first 30 minutes.

In Mathematics, an inequality simply refers to a mathematical relation that can be used to compare two (2) or more numerical values, numbers, and variables in an algebraic equation, especially based on any of the following inequality symbols:

Assuming the variable g represents the total number of seashells and the variable x represents the total number of time (minutes), an inequality which would model the situation is given by;

g(x) ≥ x

when x = 30, we have;

g(30) ≥ 20

Therefore, Mona found no more than (less than or equal to) 20 seashells in the first 30 minutes.

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Complete Question:

Mona loves the ocean, so she was thrilled to visit the beach and collect some seashells. The function g(x) gives the number of seashells Mona found after x minutes of searching.

What does g(30) ≥ 20 tell you?

It took at least 20 minutes for Mona to find 30 seashells.

Mona found at least 20 seashells in the first 30 minutes.

It took at least 30 minutes for Mona to find 20 seashells.

Mona found no more than 20 seashells in the first 30 minutes.

[tex]m-16[/tex] when m is 30

Substitute for m with given value:

[tex](30)-16[/tex]

[tex]=\fbox{14}[/tex]

Answer:

Step-by-step explanation:

a.we can get the equation is m-16 = 30-16=10+20-10-6=10-6+20-10=4+10=14

answer is 14

Answer:

The correct equation is: 6 + p = 15; p = 9.

Step-by-step explanation:

In this equation, p represents the cost of the popcorn, and the equation states that the total cost of my friend's purchase (the cost of the drink plus the cost of the popcorn) is $15. Therefore, the cost of the popcorn must be $9.

Answer:

Option D)

Step-by-step explanation:

Overall cost of both the items = $15

Cost of the drink = $6

Cost of popcorn = p

To Find : The equation that represents the Overall cost and the cost of the Popcorn

p + 6 = 15

p = 15 - 6

p = 9

Hence , the correct answer is p = 15 - 6; p = 9

Answer:

Step-by-step explanation:

5 blocks in 12 minutes

1 hour = 60 minutes

60 div. by 12 = 5

5 meaning theres 5, 12 mins in an hour

so, 5 x 5 = 25

25 meaning blocks per hours

25 + 25 = 50

50 blocks in 2 hours :)

Answer: 28

Step-by-step explanation:

280/10=28

(/=divide)

If you have 10 baskets and have 280 apples to evenly distribute them in every basket, you would have 28 in each basket. If that makes sense.

Hope this helps!

Answer:

-2

Step-by-step explanation:

To find the slope, subtract y1 - y2, then divide by x1-x2

The y numbers in this set is -10 & 8

The x numbers in this set is 9 & 0

-10-8= -18

9-0 = 9

-18/9 = -2

The slope would be -2

Answer:

Slope = Y2 -Y1 / X2 - X1

Slope = -1 -3 / 8 --8

Slope = -4 / 16

Slope = -1 / 4

To calculate the equation we fill in this equation:

(y - y1) = slope • (x -x1)

We only need to choose 1 point so we'll choose (-8, 3)

(y - 3) = -1 / 4 * (x --8)

So the Equation equals

y = -1 / 4 x -2 + 3

y = -1 / 4x +1

Source:

http://www.1728.org/distance.htm

Step-by-step explanation:

Answer:

Step-by-step explanation:

The question asks for apples to oranges.

So put the number of apples as a numerator and the number of oranges as a denominator.  Simply put 4 on top and 8 on the bottom:

4/8 then divide:  4 divided by 8 = .5

There is the ratio as a decimal.

0.5

Option D

The probability that the team will win more than 9 games this season, given the average number of wins for the team, is 4 %

The Z-score formula is:

Z = (x - mean) / standard deviation

Where x is the number of wins we're interested in (9), mean is the average number of wins (7.6), and standard deviation is the standard deviation of the number of wins (1.3)

Z = (9 - 7.6) / 1.3

= 2.3 / 1.3

= 1.77

This means that 9 wins is 1.77 standard deviations above the mean. The result is the probability of a team winning more than 9 games this season, which is around 0.04 or 4% from the standard normal distribution table.

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Answer:

4000

Step-by-step explanation:

10% of 3120 = 312

312 x 3 = 936

3120 + 936 = 4056

4056 rounded to the nearest thousanth = 4000

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