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

Can someone plz help ASAP

Answers

Answer:

55

Step-by-step explanation:

5×(2+5+2)=35

4×5=20

35+20=55

The area of a playground is 2,400 square yards, and the width is 40 yards. What is the length of the playground? PLEASE HELP

Answers

The answer you are looking for is 60 yards!
You can use the formula x*y=z
Making 40*y=2400
Do 2400/40= 60
40*60=2400
Making 60 your length of the playground!
I hope this helps!

OMG PLS HELP!!!!!!!!!!!!!! A rectangular prism has a height of 20 cm, length of 7 cm and width of 5 cm. Use the volume formula to find the volume of this prism. A. 140 cm3 B. 500 cm3 C. 700 cm3 D. 900 cm3

Answers

Answer:

The correct answer is C: 700 cm³

Step-by-step explanation:

V = l × w × h

V = 7 × 5 × 20

V = 7 × 100

V = 700

Karen has a coupon for $1.52 off on
a package of chocolate bars. A
package normally costs $10.25, and
it has 9 chocolate bars. If Karen uses
her coupon, what will the price per
chocolate bar be?

Answers

Answer:

I believe that $0.97 would be right

Step-by-step explanation:

10.25 - 1.52 = 8.73, divide 8.73 by 9 to get 0.97

If the volume of the polyhedron is 147π in^3, the value of x is ___ cm.

Answers

Answer:

x = 6.44 cm

Step-by-step explanation:

Given that,

Volume, V = 147π in³

Height, h = 9 cm = 3.54 in

We need to find the value of x. The formula of this polyhedron is given by :

[tex]V=\pi r^2 h\\\\r=\sqrt{\dfrac{V}{\pi h}} \\\\r=\sqrt{\dfrac{147\pi }{\pi \times 3.54}} \\\\r=6.44\ in[/tex]

or

r = 16.35 cm

So, the value of x is equal to 6.44 cm.

Journal entries to record cash dividends are made on the:
A. Record date and payment date.
B. Declaration date, record date, and payment date.
C. Declaration date and record date.
D. Declaration date and payment date.

Answers

Journal entries to record cash dividends are made on the:

D: Declaration date and payment date.

The ratio of dividends relative to the net income that is earned during a period of time is referred to as dividend payout ratio.

These dividends are defined as cash payments made to the stockholders out of the profits generated during that same period.

The higher the payout ratio, the lower are the earnings retained by the company and the lower the payout ratio, the higher the earnings retained by the company.

Now, when entering these cash dividends into a journal, the date of declaration of the dividends and the date of payment must be recorded.

Read more at; https://brainly.com/question/16102531

Answer:

Journal entries to record cash dividends are made on the:

D: Declaration date and payment date.

The ratio of dividends relative to the net income that is earned during a period of time is referred to as dividend payout ratio.

These dividends are defined as cash payments made to the stockholders out of the profits generated during that same period.

The higher the payout ratio, the lower are the earnings retained by the company and the lower the payout ratio, the higher the earnings retained by the company.

Now, when entering these cash dividends into a journal, the date of declaration of the dividends and the date of payment must be recorded.

Read more at; brainly.com/question/16102531

Step-by-step explanation:

Write an explicit formula for an, the nth term of the sequence 4, -24, 144, ....

Answers

Answer:

Tn = 4(-6)^n-1

Step-by-step explanation:

Write an explicit formula for an, the nth term of the sequence 4, -24, 144, ....

The sequence is a geometric sequence

Tn = ar^n-1

a is the first term

a = 4

r = -24/4 =144/-24

r = -6

Substitute

Tn = 4(-6)^n-1

Determine the equation of a circle with center at (8, 10) and radius is 6​

Answers

Use the equation ( x - h ) ^ 2 + ( y - k ) ^2 = r ^2
Where (h,k) is the center and the r is the radius . So the equation is as follows
( x- 8 ) ^2 + ( y -10 ) ^ 2 = 6^2

Hope this helped

has a $50 bill and wants to buy a pair of shoes for $48. If the sales tax is 6% how much more does she need to buy the shoes?

Answers

Answer:

He will ned 1 dollar more

Step-by-step explanation:

50x.06=3 so that is the sales tax subtract it by 2 and he will need 1 more dollar

Answer:

He would be off 88 cents.

Find the 93rd term of the arithmetic sequence -11, -7, -3

Answers

Answer:

357

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 = -3-(-7) =-7-(-11) = 4        A1 =  -11

when : n =93 you have the  93rd term  A93

so : A93 = -11 +(93-1)(4)

A93 = 357

Please help I’ll mark you as brainliest if correct

Answers

Answer:

Y= 250x+45

Step-by-step explanation:

answer = 250 per hour (X) + 45

19
Crickets chirp faster when it gets warmer. The number of chirps per minute by crickets (x) is given along
with the surrounding temperature (y):
(10 pts)
#chirps/min 20.0 16.0 19.8 18.4 17.1
Temperature (°F) 88.6
71.6 93.3 84.3 80.6
a)
Find the correlation coefficient, r. Would you say there is a significant linear correlation? Why or
why not?
b)
Give the linear regression equation. Round your numbers to three decimal places,
c)
Use your equation to predict the temperature when a cricket chirps 17 times per minute, or state
that it is inappropriate.
d)
Use your equation to predict the temperature when a cricket chirps 30 times per minute, or state
that it is inappropriate.
e)
Find and interpret the coefficient of determination (r2)

Answers

Step-by-step explanation:

Step 1.  Enter the data into the lists.  

For basic entry of data, see Basic Commands.

cricket1  

Step 2.  Create a scatter plot of the data.  

   

cricket4

Obviously, there is some scatter to this data. This variability is the norm, rather than the exception when working with biological data sets.  Real-life data seldom creates a nice straight line.

Step 3.  Choose the Linear Regression Model.

    Press STAT, arrow right to CALC, and arrow down to 4: LinReg (ax+b).  Hit ENTER.  When LinReg appears on the home screen, type the parameters L1, L2, Y1.  The Y1 will put the equation into Y= for you.  

           (Y1 comes from VARS → YVARS, #Function, Y1)

cricket6  

cricket7Older OS form.

cricket newNewer OS form.

cricket8

The linear regression equation is

y = 3.41x + 22.85

(answer to part a)

Step 4.  Graph the Linear Regression Equation from Y1.

    ZOOM #9 ZoomStat to see the graph.

cricket9

(answer to part b)

Step 5.  Is this model a "good fit"?

    The correlation coefficient, r, is .8320424586 which just barely places the correlation into the "strong" category.  (0.8 or greater is a "strong" correlation)

    The coefficient of determination, r 2, is .6922946529 which means that 70% of the total variation in y can be explained by the relationship between x and y.  The other 30% remains unexplained.

    Yes, it is somewhat of a "good fit".

        (answer to part c)

a3

Step 6.  Extrapolate:  (beyond the data set)

     If the ground temperature reached 95º, then at what approximate rate would you expect the crickets to be chirping?

Step 7.  Interpolate: (within the data set)

    With a listening device, you discovered that on a particular morning the crickets were chirping at a rate of 18 chirps per second.  What was the approximate ground temperature that morning?

 The power equation, type 18, hit ENTER, and the answer will appear at the bottom of the screen.

cricket12

(answer to part e --  the ground

the temperature will be approx. 84.23º F)

Step 8.  If the ground temperature should drop to freezing (32º F), what happens to the cricket's chirping?

a4

The TABLE tells us that at 32º F there are 2.68 chirps per second.  So, what does this really mean?  Are the crickets cold?

These findings are a bit deceiving.  At 32º F, the crickets are dead.  The lifespan of cricket in a cold climate is very short.  The crickets spend the winter as eggs laid in the soil.  These eggs hatch in late spring or early summer and tiny immature crickets called nymphs to emerge.  Nymphs develop into adults within approximately 90 days. The adults mate and lay eggs in late summer before succumbing to old age or freezing temperatures in the fall.

A bookcase is 8 feet high, 1 foot deep, and 2 feet wide. How much space (in volume) does the bookcase take up?​

Answers

Answer:

The volume of the bookcase is 16 cubic feet.

Step-by-step explanation:

Hey there!

We are given three values (in feet) and asked to find the volume of a bookcase:

8 feet high1 foot deep2 feet wide

We want to find the volume. In order to do this, we need to define:

the formula for finding the volume of a rectangular prismwhat values our data fits with

Therefore, the formula for volume is: [tex]v = l \times w \times h[/tex]

[tex]v[/tex] - volume[tex]l[/tex] - length[tex]w[/tex] - width[tex]h[/tex] - height

Finally, we need to assign each number value to either the length, the width, or the height.

Wide is a synonym for width, so our width is 2 feet.

Deep is another way of saying the space inside of the bookshelf, which would be the length (1 foot).

High would refer to how tall something is, so the height is 8 feet.

Now, let's plug in our values and solve for [tex]v[/tex].

[tex]v = l \times w \times h[/tex][tex]v = 1 \times 2 \times 8[/tex][tex]v = (1 \times 2) \times 8[/tex][tex]v = 2 \times 8[/tex][tex]v = \text{16 cubic feet}[/tex]

It's important to note that since we are finding volume, our measurement of feet becomes cubic feet.

Therefore, the volume of the bookcase is 16 cubic feet.

You have a poster that is 5 feet by 3 feet. You want to put a
frame, with a uniform width, around the picture. The poster
and the frame must have an area of 24 square feet. Find
the width of the frame.
The frame will be 3
units wide.

Answers

Answer:

x=[tex]\frac{1}{2}[/tex] ft

Step-by-step explanation:

Please see the attached image

(5+2x)(3+2x)=24 - solve for x

15+10x+6x+4x^2=24

4x^2+16x+15=24

4x^2+16x-9=0

Use quadratic formula

[tex]x=\frac{1}{2} , x=-\frac{9}{2}[/tex]

x cannot be negative, so we can rule [tex]-\frac{9}{2}[/tex] out.

x=[tex]\frac{1}{2}[/tex] ft.

First use front end rounding to round each number and estimate the answer. Then find
the exact answer.
6.48
X 1.8

Answers

Answer:

Step-by-step explanation:

The answer should be somewhere near 6* 2 = 12 which is the first answer. Do not put an exact answer when you are asked for an estimate.

The exact answer is 6.48 * 1.8 = 11.664 which makes 12 look like a pretty good estimate.

Someone please help this is due today and I only have 15 more mins to be able to turn it in

Answers

Answer:

A

Step-by-step explanation:

5 to the power of 2 is 25

10 to the power of 2 is 100

and so goes on..

whats the answer to this question

Answers

Answer:

a=20

Step-by-step explanation:

7+13=20

20-7=13

What is the measure of XZ?

Answers

Answer:

C

Step-by-step explanation:

HELP PLEASE CAN’T FIGURE THIS OUT NEED HELP

Answers

Answer:

LN= 68°

Step-by-step explanation:

A movie theater has a seating capacity of 329. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 2388, How many children, students, and adults attended?

___ children attended.
___students attended.
____adults attended.

Answers

Answer:

170 children

74 students

85 adults

Step-by-step explanation:

Given

Let:

[tex]C = Children; S = Students; A = Adults[/tex]

For the capacity, we have:

[tex]C + S + A = 329[/tex]

For the tickets sold, we have:

[tex]5C + 7S + 12A = 2388[/tex]

Half as many as adults are children implies that:

[tex]A = \frac{C}{2}[/tex]

Required

Solve for A, C and S

The equations to solve are:

[tex]C + S + A = 329[/tex] -- (1)

[tex]5C + 7S + 12A = 2388[/tex] -- (2)

[tex]A = \frac{C}{2}[/tex] -- (3)

Make C the subject in (3)

[tex]C = 2A[/tex]

Substitute [tex]C = 2A[/tex] in (1) and (2)

[tex]C + S + A = 329[/tex] -- (1)

[tex]2A + S + A = 329[/tex]

[tex]3A + S = 329[/tex]

Make S the subject

[tex]S = 329 - 3A[/tex]

[tex]5C + 7S + 12A = 2388[/tex] -- (2)

[tex]5*2A + 7S + 12A = 2388[/tex]

[tex]10A + 7S + 12A = 2388[/tex]

[tex]7S + 22A = 2388[/tex]

Substitute [tex]S = 329 - 3A[/tex]

[tex]7(329 - 3A) + 22A = 2388[/tex]

[tex]2303 - 21A + 22A = 2388[/tex]

[tex]2303 +A = 2388[/tex]

Solve for A

[tex]A = 2388 - 2303[/tex]

[tex]A = 85[/tex]

Recall that: [tex]C = 2A[/tex]

[tex]C = 2 * 85[/tex]

[tex]C = 170[/tex]

Recall that: [tex]S = 329 - 3A[/tex]

[tex]S = 329 - 3 * 85[/tex]

[tex]S = 329 - 255[/tex]

[tex]S = 74[/tex]

Hence, the result is:

[tex]C = 170[/tex]

[tex]S = 74[/tex]

[tex]A = 85[/tex]

Answer:

Down Below

Step-by-step explanation:

The answer is actually

162 children

86 students

81 adults

162x5=810

86x7=602

81x12=972

I found the original problem and the total ticket sale was $2384.

So I wrote the answers for the original problem just in case!

Ty for your time!

Corresponding Angles are congruent.
Which angle corresponds with <7?

Answers

Answer: Angle 1 corresponds with Angle 7.

Kendra spent 1/3 of her allowance on a book and snack. If she had 4 dollars remaining after purchasing a book and snack, what was the total amount of her allowance.

Answers

Kendra's allowance is $15.

Answer:

Step-by-step explanation:

The discount on a new computer was $150. This was a discount of 23 %. Step 1 of 3: What was the original selling price of the computer? Follow the problem-solving process and round your answer to the nearest cent, if necessary​

Answers

So, it is asking for 150 is 23% of what
So, the answer is 652.17
I think
Hope this helps :D

Answer:

So there is an unknown number to the original price so we replace this as x,

23% of the original price will equal your new discount, now lets write it!:

23/100 x X = 150

x100              x100

23x = 15,000

Divide by 23 on both sides:

x = 652.173 around 652.17 dollars was the original price.

The price of a sandwich decreases from $8 to $6. What is the percentage decrease in the price of the sandwich?

Answers

Answer:

It decreased by 25%

Step-by-step explanation:

8 x .25=2

8 - 2 = 6

Assume that 3-month Treasury bills totaling $12 billion were sold in $10,000 denominations at a discount rate of 3.605%

In addition, the Treasury Department sold 6 month bills totaling $10 billion dollars at a discount rate of 3.55%.

What is the discount amount for the three-month bills?

What is the discount amount for the six-month bills?​

Answers

Answer: 55,000,000

this might not be right but hear

find the value of x and of the measure of the angle labeled 3x​

Answers

Answer:

A

Step-by-step explanation:

stay safe and bless

find the volume of cuboid whose Length breadth and height are 3cm 4cm and 5cm respectively​

Answers

Answer:

volume of cuboid(v)=l*b*h

3cm*4cm*5cm

60cm cube

You fill a 100 mL graduated cylinder with 38.5 mL of water. What is the volume?
(pls help this assignment is due today)

Answers

Answer:

38.5cm³

Step-by-step explanation:

1ml = 1cm³

38.5ml = 38.5cm³

please answer them! be quick if you can, thank you.

Answers

Answer:

Question one = 35a - 15

Question two = 9

Step-by-step explanation:

Distributive property means to multiply all the numbers inside the parenthesis

by the outside number. 5 x 7a equals 35a and 5 x 3 = 15.

35 x 9 - 315 - 15 = 300

A = 9

pls help me frens......

Answers

Answer:

V= 8

x=4.5

BCF =48 CFE=132

V=352.8 =8.4x8.4x5

For the volume one i cant read the number but if the bottom number is 8 then V=803.84

if its 6 then v = 452.16

Step-by-step explanation:

v= 2x2x2 v = 8

x is 11x-9=7x+9 | 4x=18 | x=4.5

15x=180 x=12 | CFE = 11x12=132 | BCF = 4x12=48

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