Find the 91st term of the arithmetic sequence 5, -14, -33, ...

Answers

Answer 1

Answer:

a(91) = -1705

Step-by-step explanation:

Each successive term is 19 less than the previous term, so the common difference is 19, and the general term is a(n) = a(1) - 19(n - 1).

Thus, the 91st term is    a(91) = 5 - 19(91 - 1), or

                                        a(91) = 5 - 1710, or

                                        a(91) = -1705

Answer 2

The 91st term of the arithmetic sequence is -1705.

What is Arithmetic progression?

An arithmetic progression is a sequence of numbers such that the difference of any two successive members is a constant.

Given that an arithmetic sequence 5, -14, -33, ...

nth term of an AP is, a(n) = a + (n-1)d

Each successive term is 19 less than the previous term, so the common difference is 19, and the general term is a(n) = a(1) - 19(n - 1).

Thus, the 91st term is  

a(91) = 5 - 19(91 - 1)

a(91) = 5 - 1710

a(91) = -1705

Hence, The 91st term of the arithmetic sequence is -1705.

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Related Questions

Please help! Its geometry

Answers

Answer:

48 cm^2

Step-by-step explanation:

The lateral surface are is the sides

We have 4 triangles that are identical

Find the area of one of the triangles and multiply by 4

A = 1/2 bh

A= 1/2 (6) *4

A = 12 cm^2

Multiply this by 4 for the 4 sides

LSA = 4*12 = 48 cm^2

Answer:

48 cm^2

Step-by-step explanation:

The lateral surface are is the sides

We have 4 triangles that are identical

Find the area of one of the triangles and multiply by 4

A = 1/2 bh

A= 1/2 (6) *4

A = 12 cm^2

Multiply this by 4 for the 4 sides

LSA = 4*12 = 48 cm^2

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Step-by-step explanation:

QUICK ILL GIVE YOU 20 POINTS
Paul weighs 36 kg. Felix weighs half as much as Paul, and Frank weighs 4 kg more than Felix.

Answers

Answer:

Idk what you need but here is everything possible

Step-by-step explanation:

Paul = 36kg

Felix = 18kg

Frank = 22kg

36+18+22=76

Their weight all together is 76kg.

Answer:

Paul is 36 kg

Felix is 18 kg

Frank is 22 kg

Step-by-step explanation:

Pauls answer is in the question (36kg)

Felix is half of paul 36/2=18

Frank is 4 kg more than Felix 36/2=18  18+4=22

Which expression is equivalent to
-80 ?

Answers

Answer

oof i need that  to i would answer but im late too

Step-by-step explanation:

sorry

From the sample population of students with blond hair, what is the approximate value of the relative frequency of students with green eyes? A. 0.25 B. 0.33 C. 0.27 D. 0.07

Answers

Don't quote me on this but I think the answer is C. 0.27

The required approximate value of the relative frequency of students with green eyes is 0.27. Option C is correct.

From the sample population of students with blond hair, the approximate value of the relative frequency of students with green eyes is to be determined.

What is probability?

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
Number of students having green eyes with blond hair =21
Total number of students having blond hair = 78
relative frequency of students with green eyes = 21/78
                                                                                 = 0.27

Thus, the required approximate value of the relative frequency of students with green eyes is 0.27.
                                                               

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The question here is incomplete so the necessary data has been provided in the image below as reference to the question.

What is 25 percent of 48?

Answers

Answer:

12

Step-by-step explanation:

Divide 48 into 4 parts

Answer:

(25:100)*48=

(25*48):100=

1200:100=12

Answer=12

Simple Probability - Item 20781
Question 4
Which of the following events has a probability closest to 1?
CLEAR
CHECK
It will snow in July in Phoenix, Arizona.
If you roll a die, it will come up with an even number.
If you flip a coin, it will come up either heads or tails.
The next child born in the United States will be a girl.
O

Answers

Answer:

C. If you flip a coin, it will come up either heads or tails.

Step-by-step explanation:

A. My guess is it doesn't rain much in Phoenix in July. A probability of 1 means it will happen for sure, so this is not it.

B. A die has 3 even numbers and 3 odd numbers. The probability of rolling an even number is 3/6 = 0.5. This is not it.

C. If you flip a coin, you either get heads or tails. The probability of heads or tails is 1 since one of the two outcomes will always happen. This is the answer.

D. The probability of the birth of a girl is 1 out of 2, so it is 0.5. This is not it.

Answer:

If you flip a coin, it will come up either heads or tails. It either will fall on heads or tails everytime so that is closest to one.

Step-by-step explanation:

Subtract
(3x² + 7) – (3x - 2)

Answers

Answer:

3x^2 - 3x + 9

Step-by-step explanation:

you combine like terms. so the only things you can subtract is 7 - -2 which is actually 7 + 2. hope this helped

Answer:

(3x² + 7) – (3x - 2)= 3(x²-x+3)

Step-by-step explanation:

3x² + 7- 3x - 2   -add 7 and 2 to get 9

3x²- 3x+9         -factor the common term which is 3

3(x²-x+3)          -then here's you answer

help plz question is in the photo

Answers

Answer:

A. Trinomial

Step-by-step explanation:

It says it's a polynomial and that based on the number of terms. So right then you can cancel out cubic and quadratic because they aren't polynomials. Also:

Cubic is just a variable with the exponent of 3. Examples:

[tex]x^3,y^3,z^3[/tex]

Binomial is a polynomial with 2 terms. Examples:

[tex]5x+3; 6x+2; x+7[/tex]

A quadratic has a division sign.

A triangle has sides with lengths of 6 yards, 8 yards, and 10 yards. Is it a right triangle?

Answers

Answer:

Step-by-step explanation:

so, by the Pythagorean theorem

If it is a right triangle:

a^2 + b^2 = c^2

so,

6^2 = 36

8^2 = 64

10^2 = 100

okay, now we plug these into the equation

36 + 64 = 100

so yes, it is a right triangle.

Hope this helped!

Answer:

No, it's not a right triangle.

Explanation:

If you think about it a right triangle has 2 equal sides. So no this isn't a right traingle.

Find the perimeter of the following polygon. Be sure to include the correct unit in your answer.
14 in
16 in
17 in
19 in​

Answers

The answer is 69.70in

Seventh grade > DD.7 Compound events: find the number of outcomes HZR
You roll a die and pick a marble. How many outcomes are possible?
Submit

Answers

Sjsisusuahsjejejeej c

Which data set is the most spread from its mean?
14. 26 24 28
22 16 18 36
24 19 27.25​

Answers

Answer:

22 16 18 36

Step-by-step explanation:

Estimate the square root to the nearest (a) integer and (b) tenth.

√-335/2

Answers

I had the same question on my homework.

Answers:

a) -13

b) -12.9

Jen can bike 12 miles in 40 minutes. How much time will she need to bike 30 miles if her speed remains the same? PLEASE HELP QUICK

Answers

Answer: 100 minutes

Step-by-step explanation:

With the given information, we can use a proportion to figure out how long it would take for Jen to bike 30 miles.

[tex]\frac{12mi}{40min} =\frac{30mi}{x} \\[/tex]

[tex]12x=30*40[/tex]

[tex]12x=1200[/tex]

[tex]x=100[/tex]

Answer:
100

40 divided by 12 and then multiply it by 30.

The quadrilateral ABCD is a rhombus with diagonals AC = 12 ft and BD = 4 ft. The points M and N divide diagonal AC on three equal parts. Prove that BMDN is a square and find its area.

Answers

Answer:

area of BMDN 8 ft²

Step-by-step explanation:

In BMDN the diagonals are BD and MN.

MN is 12/3 = 4 ft long, and BD = 4 ft.

A rhombus with equal diagonals is a square, so BMDN is a square.

In the right triangle BDN, the diagonal BD is the hypotenuse, then:

DN² + NB² = BD²

but DN = NB, then:

2*DN² = 16 ft²

DN² = 8 ft²

The area of BMDN is computed as one of its sides squared. Then, DN² is its area

Solve for x: 2800 = 400 * 2^10x

Answers

it should be x=log(7)/10*log(2) and x=in(7)/10*in(2)

so B and D

The required solution for the expression is [tex]x = ln7/(10*ln2)[/tex].  Option D is correct

To solve [tex]2800 = 400.2^{10x}[/tex] for x.

what is an exponential function?

The function which is in format f(x) = [tex]a^x[/tex]  where, a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).  

[tex]2800 = 400.2^{10x}[/tex]
[tex]2800/400= 2^{10x}[/tex]
[tex]7=2^{10x}[/tex]
taking log on both sides.
[tex]log_27=10x\\x=log_27/10\\x = log_e7/(10*log_e2)\\x =ln7/(ln2*10)[/tex]    
(By properties of logarithm log can be separated to common base e)

The required solution for the expression is [tex]x = ln7/(10*ln2)[/tex].


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Joe worked 42 hours and packed 48 cartons. Bob worked 14 hours and packed 16 cartons. Did Joe and Bob work at the same rate?

Answers

Answer:

Yes

Step-by-step explanation:

if you simplify. 42/48.  7/8

if you simplify 14/16  is 7/8   So they are equal

If Joe worked 42 hours and packed 48 cartons and Bob worked 14 hours and packed 16 cartons, Joe and Bob worked at the same rate.

To determine if Joe and Bob worked at the same rate, we need to compare the number of cartons they packed per hour. We can calculate the rate by dividing the number of cartons packed by the number of hours worked.

For Joe:

Rate = Number of cartons packed / Number of hours worked

Rate = 48 cartons / 42 hours ≈ 1.143 cartons per hour

For Bob:

Rate = Number of cartons packed / Number of hours worked

Rate = 16 cartons / 14 hours ≈ 1.143 cartons per hour

Both Joe and Bob have a packing rate of approximately 1.143 cartons per hour.

They packed almost the same number of cartons per hour on average. This indicates that their packing efficiency is similar, regardless of the difference in the total number of hours or cartons packed.

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Will Mark Brainliest


Parabola: You must include the focus, vertex, lactus rectum, directrix, and the domain from the equation: y=-(x-0)^2 +15

Hyperbola: You must include the equations of the asymptotes and the domain from the equation: (2y^(2))/(b^(2))-(x^(2))/(a^(2))=7

Ellipse: You must include the foci, vertices, and eccentricity from the equation: 4x^(2)-1x+10y^(2)-50y-1=0

Answers

Answer:

Hi, i'm not trying to be rude but, you can search it up. there are many videos that explain it.

Step-by-step explanation:

Students were asked how many pairs of shoes they owned. Their responses were 8, 2, 1, 5, 7, 6, 2, 2, 8, and 3.

The mean of the data is?
4.4
The median of the data is?
4
The mode of the data is?
2
The range of the data is?

Answers

The range in 7 because you take


8-1 which is 7

Answer:

mean is 4.4

median is 4

mode is 2

range is 7

Step-by-step explanation:

Which statement is not necessarily true

Answers

Answer:

Line PQ is congruent to Line QR

Step-by-step explanation:

To figure this out, you can use a process of elimination. A rectangle as 2 congruent parallel sides, thus eliminating the answer choice of "A" and "B." Also, a rectangle has four 90° angles, eliminating answer choice "C."

This statement isn't necessarily true because not all rectangles are squares, so this means that Line PQ won't always necessarily be congruent to Line QR.

Help please! Check picture!!

Answers

Answer:

5

Step-by-step explanation:

They are different by 5 percantages

What is the sum of 1-2 and V-18?

Answers

Answer:

v-19

Step-by-step explanation:

Answer:

It depends on what you mean.

Step-by-step explanation:

If its to separate questions,

1-2= 1

V-18= -13

If its one whole question then

1-2 - V-18= 14

1-2 / V-18= -0.07692307692

1-2 * V-18= -13

1-2 + V-18= -12

Hope this helps! :D

A restaurant added a new outdoor section that was 40 ft'. It
was 4 feet wide. How long is their new section?

Answers

Answer: 10

Step-by-step explanation:40 ft is the height and 4is the width so divide 40 by 4 and 10 is your answer

PLS HELP PLS HELP!!!

Answers

Answer:

40 inches^3

Step-by-step explanation:

Look at the attachment

Answer:

40 inches^3

Step-by-step explanation:

The amount of tomato sauce in an 8 oz. can of tomato sauce has a normal distribution with a mean of
8.15 oz. and a standard deviation of 0.07 oz. Which of the following is the 2-score for 7.90 oz.?

Answers

Answer:

The z-score for 7.90 oz. is -3.57

Step-by-step explanation:

Data

mean: 8.15 oz.standard deviation, sd: 0.07 oz.value of interest, x = 7.90 oz.

From definition of z-score:

Z = (x - mean)/sd

Replacing with data:

Z = (7.9 - 8.15)/0.07

Z = -3.57

Given f(x)=x^2 and g(x)=5x find f(g(-2))

Answers

Answer:

100

Step-by-step explanation:

Answer: 100

Step-by-step explanation:

What is the area of the shaded region to the nearest tenth of a foot?

Answers

It would be 294 because you are multiplying them together

Chad's bedroom floor is 19 feet long and 19 feet wide. He has an area rug on his floor that is 5 feet long and 8 feet wide.

Which statement tells how to find the amount of the floor that is not covered by the rug? Select all that apply.

A Add 19 + 19 + 5 + 8.
B Subtract 40 from 19 × 19.
C Subtract 19 × 8 from 19 × 5.
D Add 19 × 19 and 5 × 8.
E Subtract 5 × 8 from 19 × 19.
F Subtract 19 × 19 from 5 × 8.

Answers

Answer:

B and E

Step-by-step explanation:

Subtract the area of the rug from the bedroom floor.

Answer:

E

Step-by-step explanation:

Area of the floor that is not covered = Area of floor - area of rug

= 19 *19 - 5*8

= 361 - 40

= 321 Sq.ft

When there is no outlier is thebetter measure of center for a set of data


Median
Mode
Range
None of the above

Answers

Answer:

Median

Explanation:

The median is the middle number. This answer fits best with the question asked.

The mode is the number that occurs the most. This number doesn't really have a correlation to the middle of this data.

The range is just how many numbers the data spans across. It has no relation to the middle of the data.

im pretty sure its median :)

I need help answering

Answers

A is the right answer
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