What's the tenth term of a sequence with an explicit rule of ƒ(n) = 2 + (–3)(n – 1)?

Answers

Answer 1

Answer:

[tex]-25[/tex]

Step-by-step explanation:

Given: [tex]f(n)=2+(-3)(n-1)[/tex]

To find: tenth term of a sequence

Solution:

A sequence is a list of numbers in which order does matter and repetitions are allowed. A term is a number in the sequence.

For example in the sequence 1, 3, 5, 7, 9, ....,3 is the second term,9 is the fifth term.

To find the tenth term of a sequence, put n = 10 in [tex]f(n)=2+(-3)(n-1)[/tex]

[tex]f(n)=2+(-3)(n-1)\\=2+(-3)(10-1)\\=2+-3(9)\\=2-27\\=-25[/tex]

Answer 2

Answer:

-25

Step-by-step explanation:


Related Questions

Plz plz help me plz plz plzplzplzplz

Answers

Answer: C

Step-by-step explanation: its C

Please help! Will mark Brainliets (when it will let me, but answer has to be right!) (I have 3-4 other questions that need to be answered, if possible please answer them) Stay Safe!

Answers

Answer:

It is A

Step-by-step explanation: It's the same as finding the area of a cube but you have to divide by 2

Answer:

300

Step-by-step explanation:

To find the volume of a prism (it doesn't matter if it is rectangular or triangular) we multiply the area of the base, called the base area B, by the height h. 6x10=60 which is the base times the height 5 and you get 300.

Hope this helps!

Answer the question simplify no work needed

Answers

1st page : 16 , 32 , 7

2nd page : (Going down) 8 , 4 , 2 , 15 , 3 , 35 , 12 , 1 , 105 , 25 , 21 , 90

Plz correct me if I'm wrong

Damian likes to shoot baskets. He took 50 shots a day to keep track of how many he made for 10 days. Here are the number of shots made:
22, 25, 27, 37, 32, 19, 25, 45, 32, 33.
What is the RANGE of made shots?
Oa 26
Ob 45
Oc 32
Od 19

Answers

Answer:

a because that seems the most accurate

Step-by-step explanation:

Solve each of the quadratic equations.
0 = 5.
3x = 0.522
o x = -6 or x = 0
0 x= -4 or x = 3
o x= -2 or x = 1.5
O x = 0 or x = 6
DONEC
DON

Answers

Answer:

1.

3x = 0.5x2

x = -6 or x = 0

x = -4 or x = 3

x = -2 or x = 1.5

x = 0 or x = 6

2.

0 = 5x2 - 2x + 6

D. & C.

Simplify the expression: 3x2(x2 - 4x - 2) + (5x3 + 7x2 + 2x + 11)
Show and explain your steps. PLEASE!!!

Answers

Answer:

[tex]3x^4-7x^3+x^2+2x+11[/tex]

Step-by-step explanation:

[tex]3x^2(x^2 - 4x - 2) + (5x^3 + 7x^2 + 2x + 11)[/tex]

First, I will expand the expression [tex]3x^2(x^2 - 4x - 2)[/tex]

[tex]3x^2(x^2 - 4x - 2) \\3x^4-12x^3-6x^2[/tex]

So, we got

[tex]3x^4-12x^3-6x^2+ 5x^3 + 7x^2 + 2x + 11[/tex]

Adding similar elements, we get:

[tex]3x^4-7x^3+x^2+2x+11[/tex]

Which graph shows a non-proportional linear relationship between x and y?

Answers

Answer: It is B

Step-by-step explanation: this is it because a linear line has a point 0,0 and B is the only one who does have that point.

Which of the following is the measure of XBA if ray BA bisects XBY which measures 70 degrees

Answers

Answer: The correct answer is C.35.

Step-by-step explanation:

70÷2=35

The value of the measure of XBA is,

⇒ 35 degree

What is mean by Angle?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

We have to given that;

Here, ray BA bisects XBY which measures 70 degrees

Hence, The value of the measure of XBA is half of the measure of XBY.

So, We get;

the measure of XBA is,

⇒ 70 / 2

⇒ 35 degree

Thus, The value of the measure of XBA is,

⇒ 35 degree

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Write the general solution to y = arcsin 0

Answers

Answer:

y=+/- π k

Step-by-step explanation:

The general solution of the given function is [tex]y=0[/tex]

Inverse trigonometric function:

Inverse trigonometric functions are simply defined as the inverse functions of the basic trigonometric functions which are sine, cosine, tangent, cotangent, secant, and cosecant functions.

Given function is,

                        [tex]y=sin^{-1}(0) \\\\y=0[/tex]

The general solution of the given function is [tex]y=0[/tex]

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Helps the first 2 questions

Answers

Answer:

The first one is 5m - 4y.

The second one is 3x - 4y.

Step-by-step explanation:

Gabriella asked 555 of her hundreds of coworkers how much storage space they were currently using on their computer. Here are their responses (in gigabytes): 4, 8, 8, 9, 114,8,8,9,114, comma, 8, comma, 8, comma, 9, comma, 11 The mean of these amounts is \bar x=8 x ˉ =8x, with, \bar, on top, equals, 8 gigabytes. What is the standard deviation? Round your answer to two decimal places. s_x\approxs x ​ ≈s, start subscript, x, end subscript, approximately equals gigabytes

Answers

Answer:

The standard deviation of the sample is 2.55 gigabytes

Step-by-step explanation:

Here we have the responses as follows;

Storage space usage on their computer [tex]x_i[/tex]

The number of respondents or sample size, n = 5

        [tex]x_i[/tex]            [tex](x_i - \bar x)[/tex]         [tex](x_i - \bar x)^{2}[/tex]

        4                -4                 16

        8                 0                  0

        8                 0                  0

        9                 1                   1

        11                 3                  9

∑      40                                   26

The sum = ∑X = 4 + 8 + 8 + 9 + 11 = 40

The mean  = (The sum)/(The count) = 40/5 = 8

Formula for population standard deviation is;

[tex]\sigma = \sqrt{\frac{\Sigma (x_i - \mu)^2}{n } }[/tex]

Where:

σ = Population standard deviation

μ = Population mean

Since we are dealing with only 5 out of her hundreds of coworkers we are dealing with a sample therefore;

The formula for sample standard deviation is;

[tex]s = \sqrt{\frac{\Sigma (x_i - \bar x)^2}{n - 1} }[/tex]

Where:

s = Sample standard deviation

n = Sample size

[tex]x_i[/tex] = Each value of the sample

[tex]\bar x[/tex] = Sample mean

We find each value of [tex](x_i - \bar x)[/tex] by subtracting the x values from the mean, 8, as in the table above, next we find [tex](x_i - \bar x)^{2}[/tex] by squaring the [tex](x_i - \bar x)[/tex].

Next, we find the sum of the differences from the mean square values from the table after which we divide by n - 1, to get [tex]{\frac{\Sigma (x_i - \bar x)^2}{n - 1} } = \frac{26}{5 - 1} = \frac{26}{4} = 6.5[/tex]

We find the root of the result which gives us the standard deviation hence

√6.5 = 2.5495.

Standard deviation, s = 2.5495 ≈ 2.55 to two significant places of decimal.

After making a table for summation the standard deviation of the sample is 2.55 gigabytes.

Use the formula for population standard deviation is:

[tex]\sqrt{\dfrac{\sum{(x_i - \mu)^2}}{n}[/tex]

Where:

σ = Population standard deviation

μ = Population mean

The formula for sample standard deviation is;

[tex]\sqrt{\dfrac{\sum{(x_i - X)^2}}{n-1}[/tex]

Where:

s = Sample standard deviation

n = Sample size

[tex]x_i[/tex] = Each value of the sample

X = Sample mean

Since we are dealing with only 5 out of her hundreds of coworkers we are dealing with a sample, therefore;

The storage used is represented by [tex]x_i[/tex]

The number of respondents or sample size represented by n

Then n = 5

The table for summation is attached below.

Find the sum of the differences from the mean square values from the table after which we divide by n - 1,

[tex]\dfrac{\sum{(x_i - X)^2}}{n-1} = \dfrac{26}{5-1}\\\\\dfrac{\sum{(x_i - X)^2}}{n-1} =6.5[/tex]

Find the root of the result which gives us the standard deviation hence

√6.5 = 2.5495.

Hence,

Standard deviation,

s ≈ 2.55 about two significant places of decimal.

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Super easy geometry please help

Answers

Ok first u multiple the numbers and divide

Here Is a trick my dad taught me for this geometry, every time I did geometry I would've gotten mad about it so we made a trick

M-ultiply

A-nd

D-ivide

Hope this trick helps you!

What is the product? 12x/2y • 3y^2/24x^3

Answers

Answer: [tex]\frac{3}{4} x^4y^3[/tex]

The current year’s depreciation expense using the straight-line method and assuming only one depreciable property, is P20,000. What is the machine’s useful life when it was purchased for P200,000 with a salvage value of P20,000?

Answers

Answer:

Machine's useful number of years = 9 years

Step-by-step explanation:

Using the straight line method, depreciation is calculated as the difference between the cost of the equipment minus the salvage value, all divided by the number of useful years.

Yearly Depreciation

= (Cost - Salvage value) ÷ (Number of useful years)

Yearly depreciation = P20,000

Cost = P200,000

Salvage Value = P20,000

Number of useful years = n

20000 = (200000 - 20000) ÷ n

20000 = (180000/n)

n = (180000/20000) = 9 years

Hope this Helps!!!

help!! answer needed fast plz!

Answers

Answer:

umm whats the question?

Step-by-step explanation:

What is the slope for the line PERPENDICULAR to the line shown in the graph?
A) -3
B) -1/3
C) 3
D) 1/3

Answers

The answer is B.
Because the slope= 3x.. and to find the perpendicular line, you need to flip the variable to a fraction and make it negative.

Please help me with these coordinates! ;) ❤️

Answers

Answer:

(7,3)

Step-by-step explanation:

Given,7 units away from x axis and 3 units away from y axis,

Coordinates are written in (x,y) form

(x,y)=(7,3)(Given)

Answer:

A

Step-by-step explanation:

7 units away from the origin in the direction of the x-axis

So it can be (7, ?) or (-7, ?)

3 units away in the direction of the y-axis

So it can be (7, 3) or (-7, -3) or other things

Remember: (X, Y)

A is (7,3) which is a possible based on this

B would not work based on this

C would not work either

D wouldn't too

help wanted pls math

Answers

Answer:

39 ft²

Step-by-step explanation:

Area of a triangle = 1/2bh

Let:

base = b = 4 ft

height = h = 3 ft

Solve for the area of the triangle:

A = 1/2(4)(3)

A = 2 * 3

A = 6 ft²

Area of a rectangle = bh

Let:

base = b = 9 ft

height = h = 5 ft

Solve for the area of the rectangle:

A = (9)(5)

A = 9 * 5

A = 45 ft²

Subtract the area of the triangle from the area of the rectangle:

45 - 6 = 39 ft²

39 ft² is your answer.

~

Answer:

39 ft²

Step-by-step explanation:

Shaded area = rectangle - triangle

(5 × 9) - (½ × 3 × 4)

45 - 6

39 ft²

A polar bear migrates north during winter to hunt for its food on sea ice. The daily
average temperature decreases 3°C for every 100 km traveled. At the start of the bear's
journey, the temperature is 2°C. What is the temperature after 200 km of its journey?

Answers

Answer:

-4 degrees

Step-by-step explanation:

Starting at 2 degrees, you need to subract 6 since 200 km= 6 degrees and it decreases.

The temperature after 200 km of the polar bear's journey is -4° C.

What is a word problem?

A word problem is a verbal description of a problem situation. It consists of  few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

The daily average temperature decreases 3°C for every 100 km traveled

At the start of the bear's journey, the temperature is 2°C

The total distance traveled by the polar bear = 200 km

For 200 km, [tex](3+3)[/tex] totally 6° C should get decreased.

⇒ [tex](2-6)[/tex]

⇒ [tex]-4[/tex]

Hence we can conclude that the temperature after 200 km of the polar bear's journey is -4° C.

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of
6. Which set of three numbers can be used
to make a right triangle?
A 39, 41, 45
B 39, 49, 59
C 39, 69, 99
D 39, 80, 89

Answers

i believe the answer is B. 39, 49, 59

Answer:

The set (39, 80, 89) can be used to make a right triangle. Thus, option D is correct.

Explanation:

We know that right-angle triangles obey the Pythagoras theorem, i.e.,

a² + b² = c²

Let's check for each set:

(39, 41, 45): 39² + 41² ≠ 45²

(39, 49, 59): 39² + 49² ≠ 59²

(39, 69, 99): 39² + 69² ≠ 99²

(39, 80, 89): 39² + 80² = 89²

Twenty eight slips of paper are numbered 1 through 28 and are distributed among a group of people. A random number generator is used to select a single number between 1 and 28, inclusively

A fair decision is made using this process

How many people could be in this group?

A. 3
B. 6
C. 7
D. 12

Answers

Answer:

Option D, 7, is the right answer.

Step-by-step explanation:

It is given that 28 slips of papers are numbered through 1 to 28.

Accordingly, there are 28 numbers.

For a fair decision, the number of slips with each one must be the same.

Therefore, the decision will only be fair if the number of people in the group is a factor of 28.

The factors of 28 are -  1, 2, 4, 7, 14 and 28.

In this way, 7 is the only factor of 28 among the given options.

Hence, the answer will be 7.

Which statement must be true according to the box plot? The data is symmetric, and the lowest number of crackers in a package was 7. The data is symmetric, and the lowest number of crackers in a package was 8. The data is skewed, and the lowest number of crackers in a package was 7. The data is skewed, and the lowest number of crackers in a package was 8.

Answers

Answer:

C

Step-by-step explanation:

The data is skewed, and the lowest number of crackers in a package was 7

Answer:

they are correct the answer is C

Step-by-step explanation:

A crew is made up of 8 men; the rest are women. If 32 % of the crew are men, how many people are in the crew?

Answers

Answer:

12

Step-by-step explanation:

(66 2/3)

---------- (x) = 8

  100

Solve for x

(66 2/3)x = 800

x = 800/(66 2/3)

x = 800/(200/3)

x = 800(3/200)

x = 4(3)

x = 12

Tim had $150 to spend on 3 pairs of pants. After buying
them, he had $30 left over. What equation expresses how
much each pair of pants cost?
A.30x/3 = 150
B.3x - 30 = 150
C.3x = 180
D.3x + 30 = 150

Answers

D) 3x + 30 = 150, hope this helps!

g(x) = 4x+1
What is g(3)?

Answers

G(3)= 13. Hope this helps(:

Answer

13

Step-by-step explanation:

4(3)+1

12+1=13

What is the volume of a rectangular prism?

Answers

Answer:

multiply: Length x Width x Height

Step-by-step explanation:

Which of the following is(are) the solution(s) to 4 |x+3|>8

Answers

Answer:

x>-1              or        x<-5

Step-by-step explanation:

4 |x+3|>8

Divide each side by 4

4/4 |x+3|>8/4

|x+3|>2

Absolute value inequalities have 2 solutions, one positive and one negative

Remember to flip the inequality when finding the negative solution

x+3 >2      or       x+3 <-2

Subtract 3 from each side

x+3-3>2-3    or     x+3-3 <-2-3

x>-1              or        x<-5

Translate the sentence and solve: "4 is 2 less than double a number".
x = -2
x= 2
х=-3
x= 3

Answers

Answer: x = 3

Step-by-step explanation:

you would double each number meamong multiply by 2 until you get the opposite of 4 being 2 less of a number so 6.

3 x 2 = 6

and 2 less than 6 is 4 so theres your answer :)

Type A is 10 feet tall and grows at a rate of 9 inches per year. Type B is 7 feet tall and grows at a rate of 21 inches per year. Algebraically determine exactly how many years it will take for these trees to be the same height.

Answers

Answer:

3 years

Step-by-step explanation:

My three friends and I have dinner together every weekend. Each weekend, two of us cook and the other two clean up afterwards. How many different ways are there for us to choose who cooks and who cleans?

Answers

Final answer:

To find the number of different ways for the four friends to choose who cooks and who cleans, one can use combinators to calculate that there are 6 different combinations.

Explanation:

The student asked, "My three friends and I have dinner together every weekend. Each weekend, two of us cook and the other two clean up afterwards. How many different ways are there for us to choose who cooks and who cleans?" To solve this, we can use combinatorics, which is a branch of mathematics dealing with combinations of objects belonging to a finite set in accordance with certain constraints.

There are four friends, so we want to know in how many ways we can select two of them to cook. The number of ways to choose the two people who will cook can be calculated using the formula for combinations, which is C(n, k) = n! / (k! * (n-k)!), where n is the total number of items, and k is the number of items to choose.

Here, n would be 4 (since there are four friends), and we want to choose 2 (the number of friends who will cook), so we get C(4, 2) = 4! / (2! * (4-2)!) = (4 * 3) / (2 * 1) = 6 ways to choose cooks. The other two automatically become the cleaners. So, there are 6 different ways for the four friends to choose who cooks and who cleans.

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