Solve the system.

Pls help. Evaluate the expression 3.14(a2 + ab) when a = 3 and b = 4. (Input decimals only, such as 12.71, as the answer.)

givi [52]

3.14(3(2) + 3(4))
3.14( 6 + 12)
3.14(18)
=56.52

4 0

3 years ago

Water is added or drained from a tank each day. The first day, 910 of a gallon is added to the empty tank. The second day, 710 o

dimulka [17.4K]

Answer:

The quantity of water in the tank after 15 days is 1610.0 gallons OR 1.61 × 10³ gallons.

Step-by-step explanation:

The amount of water in the tank after 15 days is given by the series

910+(−710)+810+(−610)+⋯+310+(−110)+210

From the series, we can observe that, if water is added for a particular day then water will be drained the following day.

Also, for a day when water is to be added, the quantity to be added will be 100 gallon lesser than the quantity that was last added. Likewise, for a day when water is to be drained, the quantity to be drained will be 100 gallons lesser than the quantity that was last drained.

Hence, we can complete the series thus:

910+(−710)+810+(−610)+710(-510)+610(-410)+510(-310)+410(-210)+310+(−110)+210

To evaluate this, we get

910-710+810-610+710-510+610-410+510-310+410-210+310-110+210

= 1610.0 gallons

Hence, the quantity of water in the tank after 15 days is 1610 gallons OR 1.61 × 10³ gallons.

8 0

3 years ago

Draw a line representing the "rise" and a line representing the "run" of the line. State

steposvetlana [31]

Answer:

The slope should be -2

You should go down 2 and go over 1.

Slope Intercept Form: y= -2x+3

Step-by-step explanation:

First, you need to identify the slope: (meaning whether it is a postive or negative.)

In this case, You have a negative slope.

This means instead of rising you're decreasing down.

When you "run" or move horizontally you MUST move right even if it's a negative slope.

Now, you need to identify your Y-Intercept.

Your Y-Intercept should be (0,3)

Next, you have to find your slope:

In order to find your slope, you need to find where the line is crossing the coordinate.

Start at (-1,5) and go down and over to (0,3)

Your answer should be that you went down 2 and over 1.

The slope can't be 2 because if it were to be 2, then that would be a positive slope which isn't our occasion.

The slope is -2.

In Slope Intercept Form: y= -2x+3

4 0

3 years ago

Your paycheck is $800 every two weeks. Each month, your fixed expenses include the following: $675 for rent; $200 for utilities;

kobusy [5.1K]

Answer:

Gary earned a gross pay of $1,047.30 last week. Using the fact that Social Security tax is 6.2% of gross pay, determine the amount of Social Security tax deducted from Gary's gross pay.

a.

$6.49

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Which is more 2 yards or 40 inches

MAVERICK [17]

1 yard = 36 inches
2 yards = 72 inches
Solution: 2 yards is more

3 0

3 years ago