A machine does 1000 tasks in 4.3 x 10^-2 seconds. How much task will be done in 2 hours? Leave answer in scientific notation.

Answers

Answer 1

Answer: You need to find out how many times (4.3 x 10^-2 seconds) goes into 2 hours,
and however many times that is, the machine will do that many thousand tasks.
It's just a simple division problem.

2 hours = 7,200 seconds

(7.2 x 10^3 seconds) / (4.3 x 10^-2 seconds) = 1.674 418 605 x 10^5 times (rounded)

The machine completes 1.674 418 60 x 10^8 tasks, and it's working on
the next one when the two hours expire.

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A swimming pool is 30 feet long, 20 feet wide, and 6 feet deep. There are 7.5 gallons of water in 1 cubic foot. How many gallons will the pool hold?

Answers

Volume = (30ft x 20ft x 6ft) x (7.5 gal/ft³)

   = ( 3,600 ft³ ) x (7.5 gal/ft³)

   = (3,600 x 7.5) gal

   = 27,000 gal .

the swimming pool will hold 27,000 gallons of water.

To calculate the number of gallons the pool will hold, we need to find the volume of the pool first and then convert it into gallons.

The volume of the pool can be found by multiplying its length, width, and depth:

Volume = Length × Width × Depth

Volume = 30 feet × 20 feet × 6 feet

Volume = 3600 cubic feet

Next, we convert the volume from cubic feet to gallons. We know that there are 7.5 gallons in 1 cubic foot:

Volume in gallons = Volume in cubic feet × 7.5

Volume in gallons = 3600 cubic feet × 7.5

Volume in gallons = 27,000 gallons

Therefore, the swimming pool will hold 27,000 gallons of water.

Learn more about volume here

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Keith is racing his little sister Pattie and has given her a 15 foot head start. She runs 5ft/sec and he is chasing at 8ft/sec. For how long can Pattie stay ahead of Keith? Write and solve an inequality and show your work. Plz Help!

Answers

Pattie runs at 5 ft/sec
She has got a head start of 15 feet.
So after 1 second, Pattie runs = (5+15) ft
      = 20 ft
After 2 second Pattie runs = (20+5)ft
   = 25 ft
After 3 second Pattie runs = (25+5) ft
   = 30 ft
After 4 seconds Pattie runs = (30+5) ft
   = 35 ft
After 5 seconds Pattie runs = (35+5) ft
   = 40 ft
After 6 seconds Pattie runs = (40+5) ft
   = 45 ft
Now Keith runs at 8 ft/sec
After 1 second Keith runs = 8 ft
After 2 second Keith runs = (8+8) ft
   = 16 ft
After 3 second Keith runs = (16+8) ft
   = 24 ft
After 4 second Keith runs = (24+8) ft
      = 32 ft
After 5 second Keith runs = (32+8) ft
   = 40 ft
After 6 second Keith runs = (40+8) ft
   = 48 ft
So Pattie will stay ahead of Keith upto 4 seconds. In the 5th second Pattie and Keith will be level and in the 6th second Pattie will be overtaken by Keith.

Which statement is true? A. Every real number is an integer.
B. Every rational number is a real number.
C. Every rational number is a perfect square.
D. Every integer is an irrational number.

Answers

I'd go with B, every rational number is a real number, but you should probably review the lesson before taking the test.

How much interest is earned on $35,800 at 8.2% for three years?$8,806.80
$880.68
$80,000.80
$10,500

Answers

Answer:

-7j +3

Step-by-step explanation:

-5j -2j +3

-7j +3

like terms are combined. combine the js

The sales tax on a digital camera is $7.15. What is the sales tax rate?

Answers

You just have to find out the percent 7.15 is of 105. To do that, you set up a proportion with x as the percentage:

$(7.15)/(105)=(x)/(100)$

Then, cross multiply to get:

$(7.15)/(105)=(x)/(100)\n715=105x\n105x/105=715/105\nx=6.810$

So, the sales tax rate was 6.8%.

Pentagon ABCDE is translated using the translation rule T(3, –4).The coordinates of A’ will be (_____).
The coordinates of C’ will be (_____).

Answers

A will be (2,0) and C will be (-2,-2). Hopefully I'm right, I learned this over a year ago!

Answer:

A will be (2,0) and C will be (-2,-2)

Step-by-step explanation:

I took the assignment.

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