Prepware math

solve equation using pemdas 1/2 (-30 + 34) 5

1/2 (-30 + 34) 5 p (-30+34) = 4 E (none) M 4x 1/2 = 2 M2x5 =10 D(none) A(None) S(none) answer is 10

Prepware really wants you to know 17^2 =289

17^2 = 289 it reoccurs in many math problems

Any number raised to the zero power is 1.

EX 1^0 = 1 2^0= 1 999999999^0= 1

An engine develops 108 horsepower at 87 percent power. What horsepower would be developed at 65 percent power?

If an engine develops 108 horsepower at 87 percent power, its 100 percent power is 108 ÷ 0.87 = 124.13 horsepower. Its horsepower at 65 percent power is found by multiplying 124.13 by 0.65, or 80.68 horsepower

The parts department's profit is 12 percent on a new part. How much does the part cost if the selling price is $145.60?

If the selling price (cost plus profit) (112%) is equal to $145.60, the cost (100%) can be found by dividing the selling price by 112% (by 1.12). $145.60 ÷ 1.12 = $130.00 (cost) 15.60 (profit)

solve using PEMDAS Which of the following is the square root of (-1776)/(-2) - 632?

Parentheses, -1776/-2 = 888. Exponents, (none) Multiplication, (none outside parenthesis) Division, (none outside parenthesis) Addition, (none) Subtraction 888 - 632 = 256 key word SQUARE ROOT so SQUARE ROOT OF 256 IS 16 answer = 16

solve using PEMDAS (64 x 3/8) ÷ 3/4

Parentheses, 64 x 3/8= 24 Exponents, (none) Multiplication, (none outside parenthesis) Division, 24/ 3/4 = 32 Addition, Subtraction answer = 32

Binary table explained

a table that uses numbers: (128 64 32 16 8 4 2 1) to create another number using 1s and 0s. you add the 1s and skip the 0s. Ex (128:64:32:16:8:4:2:1) 0 0 0 0 1 0 1 0 the 8 and the 2 have 1s underneath so add 8+2 which equals 10

Find the cube of 64.

cube means 64^3 emphasis on "^3" so 64x64x64 = 262,144

What is the square root of 4 raised to the fifth power? SQRT 4^5

find 4^5 =1024 sqrt 1024 = 32

Triangle Area

look at picture 1/2bh B= 6 so 1/2 of 6 is 3 H= 5 so 3x5 = 15cm^2

Trapazoid area

look at picture formula 1/2h(b1+b2) B1 = 8cm B2 = 6cm so b1+b2 = 14cm H = 10cm 1/2 of 10 is 5 so 14x5 = 70cm^2

converting fraction to a decimal example what is 77/64 as a decimal

simply divide 77/74 = 1.2031

Find the value of 10 raised to the negative sixth power.

so put 10. now negative the decimal goes left, positive the decimal goes right. so lets do 10 to the negative six 0:10. 1:.1 2:.01 3:.001 4:.0001 5:.00001 6:.000001

4th root of 1296

so you have to find what 4 same numbers when multiplied = 1296 so you can sit there and multiply until you get to 6x6x6x6 = 1296 or the trick is to invert it to 1296^1/4 or 1296^.25 = 6 THIS METHOD WORKS FOR ALL OTHER SQUARE ROOTS. so 5th root of 1296 would be 1296^.20 = 4.19

2square root of 31 + 2 square root of 43 / (17)^2

the 2s before the square root just mean regular square root so throw them away. now you have find the square root of 31 + square root of 43 5.56 + 6.55 = 12.11 / 17^2 17^2 = 289 so 12.11/289 =.0419

0 (square root)

the answer is always 0 0 square root of 1 = 0 0 square root of 200 = 0 0 square root of your mom = it always equals 0

square root

when 2 numbers when multiplied by itself equal a set number. example: what's the square root of 64? 8x8 = 64

cube root

when 3 numbers multiplied by themselves equal a set number. find the cube root of 8 2x2x2 = 8