Find the 97th of the arithmetic sequence 25, 29, 33, ...

Answers

Answer 1

Answer:

434

Step-by-step explanation:

hello :

note :    the n th term of an arithmetic sequence is :

An =A1+(n-1)d   ....a common difference is : d  and A1 the first term

in this exercice :   d = 33-29 =29-25= 4        A1 =  25

when : n =97 you have the  97rd term  A97

so : A97 =25 +(97-1)(4)

A97 = 434


Related Questions

Which statement about the net is true?

Answers

Answer:

A

Step-by-step explanation:

The net can be folded to form a pyramid

Please help is for now

Answers

the answer 16 im pretty sure

What is the opposite of -45?

Answers

Answer:

45 or positive 45

Step-by-step explanation:

Answer: 45

Step-by-step explanation:

Simplify 16m6-15mn+m6+17mn​

Answers

Answer:

[tex]17m^6 + 2mn[/tex]

Step-by-step explanation:

[tex]16m^6 -15mn +m^6 + 17mn[/tex]

Combine like terms, rewrite the equation and perform the operations between the coefficients,

[tex]16m^6 +m^6 -15mn+17mn[/tex]

[tex]17m^6 + 2mn[/tex]

I got the final answer :

2mn + 17m^6

The circle graph shows Lenora's activities
during 10 hours at school.
School Activities
Homeroom 7.5%
Newspaper
7.5%
Gym
10.0%
Academic
Classes
50.0%
Lunch 5.0%
Softball
Practice
20.0%
How many more hours does she spend at
softball practice than in homeroom?

Answers

Answer:

60.0 I think

Answer:

1.25 hours or 1 hour and 15 minutes

Step-by-step explanation:

The difference in time % softball practice than in homeroom:

20% - 7.5% = 12.5%

Convert the difference into hours:

12.5*10/100 = 1.25 hours or 1 hour and 15 minutes

What is the Supplimentary angle of 21°?

Answers

Answer:

159 degrees

Step-by-step explanation:

Answer:

159°

Step-by-step explanation:

We can calculate supplementary angles by subtracting the given one angle from 180 degrees. To find the other angle, use the following formula: ∠x = 180° – ∠y or ∠y = 180° – ∠x where ∠x or ∠y is the given angle.

so 180° – ∠ 21= 159°

calculate by rounding off and compensating 823-273​

Answers

Hi,
Not sure what exactly you want but the answer is 550.

You can compensate by subtracting 3 from 823 and subtracting 3 from 273 and after doing 820-270 you get 550.

Hope this helps!

A diagram shows the dimensions for a local botanical garden. Measure the parallelogram to the nearest 1/4 inch. What is the area of the botanical garden diagram in square inches?

Answers

Answer:

4.8 in2

Step-by-step explanation:

2.4 x 2 =4.8

tell me if I'm wrong

Answer:

Step-by-step explanation:

solve for x i’ll give brainlest to the right answer

Answers

Answer:

value of x is 11

Step-by-step explanation:

hope it helped!!!

184 is what percent more than 148

Answers

it is 36 percent more

Kazi ran 1.2km how many centimeters did she run

Answers

9514 1404 393

Answer:

  120,000 cm

Step-by-step explanation:

There are 100 cm in 1 m, and there are 1000 m in 1 km. So, there are 100,000 cm in 1 km.

1.2 km is 120,000 cm

The
Olympic time for men's 400-m hurdles
has been decreasing by about 0.09 seconds per
year since 1930, when the record was 52 seconds.
Predict what the time will be in 2010

Answers

Answer:

In 2010 the time will be 44.8 seconds.

Step-by-step explanation:

Given that the Olympic time for men's 400-m hurdles has been decreasing by about 0.09 seconds per year since 1930, when the record was 52 seconds, to predict what the time will be in 2010 the following calculation must be performed:

52 - ((2010 - 1930) x 0.09) = X

52 - (80 x 0.09) = X

52 - 7.2 = X

44.8 = X

Thus, in 2010 the time will be 44.8 seconds.

Suppose y varies directly with x. Write an equation relating x and y. y=-12 when x=20

Answers

Answer:

[tex]y = 8 - x[/tex]

when x=20 so y=-12

find the area of the shaded segment of the circle

Answers

9514 1404 393

Answer:

  (3/2π -(9/4)√3) m² ≈ 0.8 m²

Step-by-step explanation:

The area of the segment is the difference between the area of the sector and the area of the triangle.

  sector area = 1/2r²α . . . . where r is the radius and α is the central angle in radians

  triangle area = 1/2r²·sin(α) . . . . same variable definitions

Then the area of the segment is ...

  segment area = sector area - triangle area

  segment area = (1/2)r²(α -sin(α))

The central angle subtended by the segment is 360° -300° = 60° = π/3 radians

Then the segment area is ...

  A = (1/2)(3 m)²(π/3 -√3/2) = (3/2π -(9/4)√3) m² ≈ 0.8 m²


It cost Andrew $21 to buy 7 binders. At this price, how much would it cost him to buy 4 binders?

Answers

21/7=3 so 3$ * 4 binders would equal $12
$21/7=$3, to find the price of 1 binder
4*$3=$12, gives the price of 4

a. find the area

b. find the perimeter​

Answers

Answer:

Area= 4y^2 + 14y + 12

Perimeter = 10y + 16

Step-by-step explanation:

Area of a reactangle = length × width

= (4y+6) × (y+2)

= 4y^2 + 6y + 8y + 12

= 4y^2 + 14y + 12

Perimeter of a rectangle = 2 × (a +b)

= 2 × ( 4y + 6 + y+ 2)

= 2 × ( 5y + 8)

= 10y + 16

A cooler contains 12 bottles of apple juice and 18 bottles of orange juice. You reach into the cooler without looking and pull out one bottle of apple juice. Then you reach into cooler and pull out another bottle of juice. What is the probability of pulling apple juice and then pulling another apple juice?

Answers

Answer:

P = 0.232

Step-by-step explanation:

In the cooler, we have 12 bottles of apple juice and 18 bottles of orange juice.

This adds up to a total of 30 bottles.

Now we want to find the probability of pulling a bottle of apple juice after you pulled one bottle of apple juice.

The probability of pulling a bottle of apple juice at the beginning is equal to the quotient between the number of apple juice bottles in the cooler and the total number of bottles in the cooler,

This means that 12 out of 30 are apple juice, then the probability of getting first a bottle of apple juice is:

p = 12/30

Now, we want to find the probability of getting another, we will do the same calculation than above, but now the number of bottles of apple juice is 11 (because we took one) and the total number of bottles is 29.

In this case, the probability is:

q = 11/29

The joint probability (the probability of both events happening) is equal to the product of the individual probabilities.

Then the probability of pulling apple juice and then pulling another apple juice is:

P = p*q = (12/30)*(11/29) = 0.232

A wooden box has the shape of a rectangular prism. The inside of the box is also a rectangular prism. What is the volume of the solid part of the box? Enter your answer below.

Answers

1560 cm^2 as you subtract the small prism from the large

Does anyone know what the answer is for the question???

Answers

i believe it’s 60 degrees


[tex]if \: a = 3 + 2 \sqrt{2} .find \: a \times \frac{1}{a} [/tex]


Answers

Answer:

1

Step-by-step explanation:

Given that,

[tex]a=3+2\sqrt{2}[/tex]

We need to find the value of [tex]a\times \dfrac{1}{a}[/tex].

So,

[tex]=3+2\sqrt{2} \times \dfrac{1}{3+2\sqrt{2}}\\\\=\dfrac{3+2\sqrt{2}}{3+2\sqrt{2}}[/tex]

As numerator and dinominator is same. It means,

[tex]=\dfrac{3+2\sqrt{2}}{3+2\sqrt{2}}\\\\=1[/tex]

So, the value of the given expression is equal to 1.

At a high school with over 500 students, a counselor wants to estimate the mean number of hours per week that students at the school spend in community service activities. The counselor will survey 20 students in the Environmental Club at the school. The mean number of hours for the 20 students will be used to estimate the population mean. Which of the following conditions for inference have not been met?

1. The data are collected using a random sampling method.
2. The sample size is large enough to assume normality of the distribution of sample means.
3. The sample size is less than 10 percent of the population size.

Answers

Complete option:

The sample size is less than 10 percent of the population size. A. II onlyB. III onlyC. II and III onlyD. I, II, and III

Answer:

D.) I, II, and III

Step-by-step explanation:

The sample are not well randomly selected as the samples were only selected from a single source, the environmental club in the school.

Similarly only 20 samples were chosen, these 20 samples are not enough to assume normality as the minimum number of samples required to assume normality according to the Central limit theorem is 30 samples or more.

10% of the population size is :

Population size = 5000

0.10 * 5000 = 500 samples

Hence, sample size used is less than 10% of population size.

A group of children were asked if they like eating cupcakes or brownies.

The table shows the probabilities of the results.

Like cupcakes Do not like cupcakes Total
Like brownies 0.15 0.15 0.3
Do not like brownies 0.35 0.35 0.7
Total 0.5 0.5 1
What is the probability that a child likes brownies given that he likes cupcakes?




.70

.43

.50

.30

Answers

Answer:

It’s 0.30

Step-by-step explanation:

I took the test bro

Simone purchased a new car for $18,700. There
was also a 6% sales tax. What was the total
amount Simone paid for the car, including tax?

Answers

Answer:

19,822

Step-by-step explanation:

The sum of 4 consecutive integers is 354.
What is the second number in this sequence?

Answers

Answer:

87

Step-by-step explanation:

Step 1: X is the first number

Step 2: X + 1 is the second number

Step 3: X + 2 is the third number

Step 4: X +3 is the fourth number

Step 5: Take the sum of all of those:

4x+6=354

4x=348

x=87

The second number in the sequence is 88.

87,88,89,90 = 354

Answer: Second integer is 87

Step-by-step explanation:

Sum of four consecu. integers = 354

Let the integers be x, x+1, x+2 , x+3.

Sum = 354

x+x+1+x+2+x+3 = 354

4x+6 = 354

4x = 354 - 6

4x = 348

x = 348/4

x = 87

Therefore, first integer = x =87

Second integer = x+1 = 88

Third integer = x+2 = 89

Fourth integer = x+3 = 90

So, second integer is 88 .

Simplify and write answer in standard form.

Answers

Step-by-step explanation:

2x^3 - 10x^2 + 8x -3

hope this helps

please help will get brainliest
(the figure is not drawn to scale)
which one?
154 cm2
217 cm2
308 cm2
5488 cm2​​

Answers

308cm 2

V =14 V-6=8 - =22
K+K=14
22 x 14 =308

a person invested $330 in an account growing at a rate allowing the money to double every 8 years. Write a function showing the amount of money in the account after tt years, where the annual growth rate can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage of growth per year, to the nearest hundredth of a percent.

Answers

Answer:

The percentage of growth is of 9.05%.

The amount of money in the account after t years is given by [tex]P(t) = 330(1.0905)^t[/tex]

Step-by-step explanation:

Amount of money after t years:

The amount of money in an account after t years is given by:

[tex]P(t) = P(0)(1+r)^t[/tex]

In which P(0) is the initial deposit and r is the growth rate, as a decimal.

Money doubles every 8 years.

This means that [tex]P(8) = 2P(0)[/tex]. So

[tex]P(t) = P(0)(1+r)^t[/tex]

[tex]2P(0) = P(0)(1+r)^8[/tex]

[tex](1+r)^8 = 2[/tex]

[tex]\sqrt[8]{(1+r)^8} = \sqrt[8]{2}[/tex]

[tex]1 + r = 2^{\frac{1}{8}}[/tex]

[tex]1 + r = 1.0905[/tex]

[tex]r = 1.0905 - 1[/tex]

[tex]r = 0.0905[/tex]

The percentage of growth is of 0.0905 = 9.05%.

Person invested $330

This means that [tex]P(0) = 330[/tex]

So

[tex]P(t) = P(0)(1+r)^t[/tex]

[tex]P(t) = 330(1+0.0905)^t[/tex]

[tex]P(t) = 330(1.0905)^t[/tex]

The amount of money in the account after t years is given by [tex]P(t) = 330(1.0905)^t[/tex]

A normal distribution has a mean of 14 and a standard deviation of 4. What percent of values are from 14 to 22?

Answers

Answer:

80% of the values will occurs above 68.24.

Step-by-step explain

thinking this is right but im sorry if its wrong

After basketball practice, 8 players equally shared 3 large bottles of water. What fraction of a bottle did each player get?

Answers

It would be 3/8 since you divide the 3 bottles to 8 players

ILL GIVE THE BRAINLIEST pls help me with this question EVERYTHING IS IN THE PICTURE PLS HELP DUE TODAY ​​IF YOU PUT A WRONG ANSWER ILL REPORT YOU FASTER THAN ASSIGMENT IS DUE ​​​

Answers

Answer:  the correct answer should be 160 but you said that didnt work so try 480

Step-by-step explanation:  

I just did base times Hight 8*10 which is 80*6=480

hoped this helps:))

Answer:

80

Step-by-step explanation:

V= Bh/3

Area of base= (L × W) ÷2

(8×6)÷2 = 24

Multiply by height

24×10=240

Divide by 3 (since its a pyramid therefore has 3 sides)

240/3=80

80 is your answer

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