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2 years ago

Find the 45th term of the arithmetic sequence: −9, −2, 5, 12, ...

Mathematics

2 answers:

Nat2105 [25]2 years ago

3 0

You’ll get your answer by adding +7 to each number.

Gennadij [26K]2 years ago

3 0

Answer:

292

I hope this helps!

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A piece of rubber tubing maintains a cylindrical shape as it is stretched. At the instant that the inner radius of the tube is 2

professor190 [17]

Answer:

the rate of change in volume is dV/dt = 4π mm³/s = 12.56 mm³/s

Step-by-step explanation:

since the volume V of a cylinder is related with the height H and the radius R through:

V = πR²*H

then the change in time is given by the derivative with respect to time t

dV/dt = (∂V/∂R)*(dR/dt) + (∂V/∂H)*(dH/dt)

the change in volume with radius at constant height is

(∂V/∂R) = 2*πR*H

the change in volume with height at constant radius is

(∂V/∂H) = πR²

then

dV/dt = 2π*R*H *(dR/dt) + πR²*(dH/dt)

replacing values

dV/dt = 2π* 2 mm * 20 mm * (-0.1 mm/s) + π (2 mm) ²* 3 mm/s = 4π mm³/s

dV/dt = 4π mm³/s = 12.56 mm³/s

7 0

2 years ago

PLEASE HELP !!! The cost of a pottery painting party is $9 per person, plus a one-time supply fee of $89. Which of the following

stiv31 [10]

c(x)=9x+89

I know that you don't have the answer listed, but it is the correct answer.

3 0

2 years ago

Read 2 more answers

In triangle ABC segment DE is parallel to the side AC. (The endpoints of segment DE lie on the sides AB and BC respectively).

ivanzaharov [21]

Answer:

6 dm

Step-by-step explanation:

Triangle DBE is similar to triangle ABC, so their side lengths are proportional.

DE/AC = DB/AB

The length of DB can be found from ...

DB +AD = AB

DB = AB -AD = (15 -10) dm = 5 dm

So, we can fill in the proportion:

DE/(18 dm) = (5 dm)/(15 dm)

DE = (18 dm)·(1/3) . . . . . . . . . . simplify, multiply by 18 dm

DE = 6 dm

_____

It can be helpful to draw and label a figure.

5 0

2 years ago

Graph on a coordinate plane each set of (x, y) values. Which set of values describes two quantities that are in a proportional r

Ray Of Light [21]

Answer:

(3, 5.1)(0, 0)(5, 8.5)

Step-by-step explanation:

A proportional relationship occurs only with a linear relationship that goes through the origin.

8 0

2 years ago

Melinda works at a cafe. Each day that she works, she records x, the total dollar amount of her customers’ bills and then y, her

Anna35 [415]

Answer:

$26

Step-by-step explanation:

In the picture attached, the table, the plot and the line of best fit are shown. There we can see the next equation:

y = 0.177x + 25.936

where x is the total dollar amount of her customers’ bills and then y is her total daily wages.

This means that even if she serves no customers (x = 0) she will earn $26 ($25.936 rounded to the nearest dollar) for each day of work.

5 0

2 years ago