The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).

3, 15/2, 75/4, .....

Find the 8th Term

Answers

Answer 1

Answer:

Step-by-step explanation:

First term is 3

common difference = 15/2 divided by 3 = 5/2

8th term = a * r^7

3 * (5/2)^7 = 1,831.0546875

To the nearest thousandth 1,831.055


Related Questions

Write the equation of the circle graphed below.

Answers

Answer:

(x + 5)^2 + (y + 5)^2 = 16

Step-by-step explanation:

Given that x+1 is a factor of 2x^3-3x^2-8x-3 , solve 2x^3-3x^2-8x-3=0. This means find all the roots for the function.

Answers

Answer:

x=-1, -1/2, 3

Step-by-step explanation:

What is x^2 -11x+19=-5 as standard form?

Answers

Answer:

Standard Form; x^2 - 11x + 24 = 0

Step-by-step explanation:

Simplify rewrite such that the quadratic equation has 0 isolated on the right or left side, most commonly right side;

x^2 - 11x + 19 = - 5 ⇒ Add 5 on either side of equation,

Standard Form; x^2 - 11x + 24 = 0

HELP PLEASEEEE!!!!!!
I put all my POINTS in

you pick a card from a deck containing 5 cards and roll a 6-sided die. How many
outcomes are possible?

Answers

Answer:

30

Step-by-step explanation:

Since there are 5 possible outcomes for the cards, and 6 possible outcomes for the die, there are a total of 5*6=30 outcomes possible. Hope this helps!

The ratio of the leg opposite to an angle to the leg adjacent to the angle in a right
triangle is called the ___ of the angle.

A. sine
B. tangent
C. cotangent
D. secant

Answers

Answer:

the answer is b. tangent

Step-by-step explanation:

The ratio of the leg opposite to an angle to the leg adjacent to the angle in a right triangle is called the tangent of the angle.

On which triangle can we apply trigonometric ratios?

The trigonometric ratio can be defined in terms of ratios of perpendicular, bases, and hypotenuse.

Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.

In a right-angled triangle, two such angles are there which are not right-angled(not of 90 degrees).

The slanted side is called the hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called the base.

The tangent of the angle is

[tex]\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}[/tex]

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In how many ways can you arrange nine CDs one after another on a shelf?

Answers

Answer:

The number of arrangements of the 9 CDs along a shelf is 362,880.

Step-by-step explanation:

MARK AS BRAINLIEST PLZ    :)

Answer:

the answer to your question is 362880

help meeeeeeeeeeeeeeeeee pplllzzzzzzzzz asap

Answers

Answer: 16

Step-by-step explanation:

8+6+2

Answer:

2

Step-by-step explanation:

Under 13 min - that means at least at 07:13 am, and this is the first column, which shows Two People.

pls helllllllllllllp

Answers

Answer:

40

Step-by-step explanation:

24 divided by = 8

8 times 5 = 40

can i have brainliest please

Answer:

40

Step-by-step explanation:

there is a 5 to 3 ratio for ice cream cones to brownies

ice cream: brownies

5:3

x:24

three times eight is 24

five times eight is 40

Two gongs strike at intervals of 24 and 40minutes respectively. At twist time will they strike together again if they start simultaneously at 12 noon? Hint: 60 minutes = 1 hour

Answers

Answer:

They will sound together at 2pm

Step-by-step explanation:

Now, the first thing we need to calculate is , in how many minutes will the two gongs strike together.

To be able to do this, we need to calculate the least common multiple of the two numbers 24 and 40

The lowest common multiple between both is 120

This means that the two gongs will sound together at exactly 120 minutes

Now since 1 hour is 60 minutes, this means that 120 minutes will be = 120/60 = 2 hours

Since they both sounded together at 12 noon and the next time they will be sounding is next two hours, their sounding time will thus be 12 noon + 2 hours = 2 pm

WORTH 50 POINTS AND BRAINLIEST NO FAKE ANSWERS NO PLAGIARISM OR WILL REPORT ALSO WRITE 4 SENTENCES. A nickel, a dime, and a quarter are touching as shown. Tangents are drawn from point A to both sides of each coin. In a short paragraph, explain what you can conclude about the four tangent segments?

Answers

Answer and Step-by-step explanation:

These four tangents are all equal in length. By definition, you can draw two tangent lines from a point outside a circle that will touch the circle. These two tangent lines are always congruent. Looking at the two leftmost lines, they are tangents of the nickel, so we can say that they're congruent. Looking at the middle two lines, we see that they must be equal, as well, since they're tangent lines to the dime, but we notice that the second leftmost line is shared by the nickel and the dime. So, these three must all be congruent. By similar reasoning, the rightmost line is congruent to the other three. Thus, all four tangent lines have the same length.

Answer:

Tangents drawn from the same point are equal in length.

Since the middle coin share tangents with the coins on either sides, all tangents are equal in length.

A 21-foot flagpole casts a shadow. The distance along the ground from the base of the pole to the top of the shadow is 11 feet. What is the distance from the top of the pole to the tip of the shadow?

Answers

Answer:

Step-by-step explanation:

.

What is the value of x

Answers

Answer:

x=90? is there any other info?

Step-by-step explanation:

Answer:

90 degrees

Step-by-step explanation:

The angle is a right angle

Secant TP and tangent TR intersect at point 7. Chord SR and chord PQ intersect

at point V. Find the values of x and y. If necessary, round to the nearest tenth.

AN

x = 11.6

y = 11.6

= 11.6

y= 23.2

x = 18.3

y = 36.6

Answers

Answer:

(C)x=11.6, y=23.2

Step-by-step explanation:

Using Theorem of Intersecting Secant and Tangent

Applying this theorem in the diagram, we have:

[tex]TQ$ X TP=TR^2[/tex]

[tex]10(10+x+4)=16^2\\10(14+x)=256\\140+10x=256\\10x=256-140\\10x=116\\$Divide both sides by 10\\x=11.6[/tex]

Next, we apply Theorem of Intersecting Chords

PV X VQ=SV X VR

4 X x= 2 X y

Recall earlier we got: x=11.6

2y=4 X 11.6

2y=46.4

Divide both sides by 2

y=46.4/2=23.2

Therefore: x=11.6, y=23.2

PLZ HELP WILL MARK BRAINLIEST!!!
The graph of a proportional relationship passes through (3, 24) and (1, y).
Find y

Answers

Answer:

8

Step-by-step explanation:

If it is proportional 3/3=1

And 24/3=8

Answer: go up the origin maybe that would help

Step-by-step explanation:

What is the values of x?

Answers

You have one angle given to you which is 125 so all you have to do is subtract 125 from 180 which gives you 55 then add 5 and then divide it by 15 which give you 4 if you don’t believe me plug it in
X = 4

Answer:Answer is 4

15x-5+125=180°

15x=60

x=4

Step-by-step explanation:I don't say you have to mark my ans as brainliest but my friend don't forget to thank me if it has really helped you..

please Help it’s urgent

Answers

Answer:

Angle IAJ

Step-by-step explanation:

X idea again. They are opposite to each other in the immediate area around them.

A set of bicycle prices are normally distributed with a mean of 300 dollars and a standard deviation of 50 dollars.
A sports bicycle has a price of 380 dollars.
What proportion of bicycle prices are lower than the price of the sports bicycle?
You may round your answer to four decimal places.​

Answers

Answer:

0.9452

Step-by-step explanation:

Answer for Khan academy

The proportion of bicycle prices that are lower than the price of the sports bicycle is approximately 94.52%.

What is Z -score?

A Z-score is defined as the fractional representation of data point to the mean using standard deviations.

We can start by standardizing the sports bicycle price using the formula:

z = (x - μ) / σ

where x is the sports bicycle price, μ is the mean, and σ is the standard deviation.

Substituting the values, we get:

z = (380 - 300) / 50 = 1.6

Now, we can use a standard normal distribution table or calculator to find the proportion of values below 1.6.

From the z-table, we find that this proportion is approximately 0.9452.

Therefore, the proportion of bicycle prices that are lower than the price of the sports bicycle is approximately 94.52%.

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what is the area and perimeter of a rectangle that has base of 18 inches and height of 5 inches

Answers

Answer:

area is 90 and perimeter is 46

Step-by-step explanation:

the area for a rectangle is l * w, so 18*5 is 90, and the perimeter is 2l+2w, which is 46.

Answer:

Area 90

perimeter 46

Step-by-step explanation:

To find area, you multiply both sides.

to find perimeter, you add up all the sides. Make sure to double each number.

The volume of a cone with a radius of 7 cm is 147 pi cubic centimeters. Which expression can be used to find h, the height of the cone?
A. 147 pi = one-third (7) (h) squared
B. 147 pi = one-third pi (7 squared) (h)
C. 147 pi = one-third pi h
D. 147 pi = one-third pi (7) (h)

Answers

Answer:

B

Step-by-step explanation:

Volume = ⅓ pi × r² × h

147pi = ⅓ × pi × 7² × h

Step-by-step explanation:

Step 1:  Find the expression that can be used to find h

[tex]V = \pi * r^2 * \frac{h}{3}[/tex]

[tex]147 \pi = \pi * (7)^2 * \frac{h}{3}[/tex]

[tex]147\pi = \frac{1}{3} * \pi * 7^2 * h[/tex]

147 pi = one-third pi (7 squared) (h)

Answer:  Option B

help plsssssssssssssssssssss again 4

Answers

Hi!

The expression would be (8 x t)s

Hope this helps !

I was wondering what the surface area was. for this prism?

Answers

Answer:

392 units^3

Step-by-step explanation:

What you are using is a "net." The net of a solid figure is formed when a solid figure is unfolded along its edges and its faces are laid out in a pattern in two dimensions.  Nets of rectangular prisms are made up of rectangles and squares

Finding the areas of each of the rectangles and squares of the net of a rectangular prism and adding up those areas gives the surface area or total surface area of the prism.

For this problem, it would be the area of one triangle times two (since there are two) and the area of a rectangle times 3 (since there are three rectangles). Let's start with the triangles...

Triangles

The formula for area of a triangle is 1/2bh. The base is 8 and the height is 4, so 8*4 = 32/2 = 16. Now 16 *2 = 32, meaning that the combined areas of the triangles is now 32.

Let's try rectangles...

Rectangles

The formula for area of a rectangle is simply bh. Base is 8, height is 15, meaning the product is 120. Multiply by 3 and you get 360. The combined areas of the rectangles is now 360.

Now add the two values for the surface area:

360 + 32 = S.A. = 392 units^3

I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!

There are 70,000 bacteria present in a culture. An antibiotic is introduced to the culture and the number of bacteria is reduced by half every 4 hours. Which of the following statements are true? Select all that apply.
A.) two hours after the antibody is introduced , there are 35000 bacteria present in the culture
B.) 24 hours after the antibiotic is introduced , the number if bacteria in the culture is reduced to 1093
C.) the number of present in the culture during the 24 hours after the the antibiotic is introduced is an example of exponential decay
D.) the half-life of the bacteria after the antibiotic is introduced is 2 hours
E.)the function B(x)=70000(0.5)^x where x is the number of 4 hour periods represents the amount of bacteria present after the antibiotic is introduced

Answers

Answer:

c

Step-by-step explanation:

the number of bacteria is introduced

The function B(x) = 70000(0.5)ˣ, where x represents the number of 4 hour periods, represents the amount of bacteria present after the antibiotic is introduced. Therefore, option D is the correct answer.

What is the exponential function?

Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).

In any situation where an amount grows or declines by a set percent every time period can be represented using an exponential function.  Since the amount of bacteria is reduced by half, or 50%, every 4 hours, this is exponential decay.

Exponential functions such as this are of the form

y = a(1+r)ˣ, where a represents the initial population, r is the percent of growth or decrease, and x is the number of time periods.  In this situation, the initial population, a, is 70000.  Since the number of bacteria decreases by half, r = -0.50.  This gives us

y = 70000(1+-0.50)ˣ, or y = 70000(0.50)ˣ.

In 24 hours, there are 6 4-hour periods.  This means x = 6; this gives us

y = 70000(0.50)⁶ = 1093.75.

Therefore, option D is the correct answer.

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If you save three pennies on January 1, six pennies on January 2, nine
pennies on January 3, and continue this pattern for one year (not a leap year),
what will be the value of your entire savings, in dollars, at the end of that one
year? Express your answer as a decimal.

Answers

Answer:

2003.85

Step-by-step explanation:

365/2 * (3 + 1095) = 200385.

1 Dollar = 100 pennies

200385 pennies/100 = 2003.85

so you have $2003.85 in your account on the 365th day.

hope this helps :-)

The value at the end of the first year is $10.95.

Mrs. Ellis determines that 5 gallons of water flow from a faucet in 3 minutes. The water continues to flow at the same rate. Which equation can be used to represent the number of gallons, y, that flow through the faucet in x

Answers

Answer:

y=5/3x

Step-by-step explanation:

The equation can be used to represent y = (5/3)x.

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

We have been given that Mrs. Ellis determines that 5 gallons of water flow from a faucet in 3 minutes.

Since the water continues to flow at the same rate.

Using represent the number of gallons, y, that flow through the faucet in x

In 3 minutes, 5 gallons of water come out of a faucet.

So the equation can be used to represent y = (5/3)x

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A truck driver makes a trip that covers 2,380 km in 28 hours. What is the driver’s average speed?

Answers

Answer:

85km/h which is 52.82mph

Step-by-step explanation:

a sector with a central angle measure of 7pi/4 in radians has a radius of 16cm what is the area of the sector

Answers

Answer:

The area of this sector is 224*pi cm² or approximately 703.72 cm²

Step-by-step explanation:

In order to calculate the area of a sector for which we have an angle in radians, we need to apply a rule of three in such a way that pi*r² is related to 2*pi radians in the same proportion as the given angle is related to the area of the sector we want to find. This is shown below:

2*pi rad -> pi*r² unit²

angle rad -> sector area unit²

2*pi / angle = pi*r² / (sector area)

2*pi*(sector area) = pi*r²*angle

sector area = [pi*r²*angle]/2*pi

sector area = r²*angle/2 unit²

Applying the data from the problem, we have:

sector area = [(16)²*(7*pi/4)]/2 = [256*(7*pi/4)]/2 = 64*7*pi/2 = 32*7*pi = 224*pi

sector area = 224*pi cm²

sector area = 703.72 cm²

Help it’s urgent because it’s due tonight

Answers

Answer:

<16 and <15 are supplementary

Step-by-step explanation:

Supplementary angles add to 180 degrees, which is a straight line

15 and 16 make a straight line

i need help asap! anyone know this?

Answers

Answer:

1 = 0

12x12 = 4

100=1

I think the last one is also 1

Step-by-step explanation:

8^x=8^0
The 8 in both sides gets cancelled out.
x=0

100^x=100
The hundred in both sides gets cancelled out.
x=1

12^x times 12^4=12^8
When the bases (numbers) are same and are multiplied together, you add the powers together.
12^x+4=12^8
The 12 in both sides get cancelled out.
x+4=8
x=8-4
x=4

(7^2)^9=7^3)^x
When there are powers both inside and outside the brackets, they’re multiplied with each other.
7^18=7^3x
The seven in both sides gets cancelled out.
18=3x
3x=18
x=18/3
x=6

What is the radius and diameter of the following circle?
111 cm
Radius
cm
Diameter =
cm

Answers

Answer:

Diameter = 212 cm

Step-by-step explanation:

D= 2r

Tien has six coins in her pocket. She has at
least one quarter, one dime, one nickel, and
one penny. Use an organized list to show
how many different ways Tien might have
more than 60¢.

Answers

Answer:

10 dimes

Step-by-step explanation:  10 cents x 6 = 60 cents

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