MATHEMATICS HIGH SCHOOL

A cube has a side length of x feet. Which expression represents the surface area of the cube? A)4x square units
B)24x square units
C)x2 square units
D)6x2 square units

Answers

Answer 1
Answer: The answer is D)6x2 square units.

A surface area of a cube is a sum of its sides' areas. A side of the cube is a square, and there are total 6 sides of the cube. Also, an area of the side of the cube is the area of the square, which can be expressed as a², where a is the length of the side. Therefore, the surface area (SA) of the cube is:
SA = 6*a² = 6a²

If side length is x, that means that a = x units.
After replacing it in the formula, you will have:
SA = 6a² = 6x² square units
Answer 2
Answer: I hope this helps you

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Twelve is sixteen less than four times a number

Answers

Say it out loud and you should get your answer like that.

12 = 16 - 4x

Well, 16 - 4 already equals 12, so the x shouldn't have a value over 2. 

The x must be a 1. 

The equation would be 12 = 16 - 4 x 1. 

Hope this helped.
4x-16=12 would be the equation. To solve:
Add 16 to both sides.
4x=28
Divide by 4.
x=7

Solve|3-v|<6

1.Write the inequality as two inequalities without absolute value.

2.Solve the inequality and write the solution set.

Answers

|3-v| < 6

1) Write the inequality as two inequalities without absolute value:
1st inequality:   3 < 6
2nd inequality: -v < 6

2) 
|3-v| < 6
-3       -3
|-v|   < 3
  v < 3

v = 2

3 - v < 6
3 - 2 < 6
1 < 6

A company has developed a new ink-jet cartridge for its printer that it believes has a longer life-time on average than the one currently being produced. To investigate its length of life, 40 of the new cartridges were tested by counting the number of high-quality printed pages each was able to produce. The sample mean and standard deviation were determined to be 1511.4 pages and 35.7 pages, respectively. The historical average lifetime for cartridges produced by the current process is 1502.5 pages. Calculate the appropriate test statistic to test the hypotheses.

Answers

Answer:

Step-by-step explanation:

Given that

mu = 1502.5 pages

Sample mean x bar = 1511.4 pages

Std deviation =s= 35.7 pages

Sample size n = 40

By assuming random samples since only sample std dev is know we can say that sample mean x bar follows a t distribution with

mean =1511.4 and std error =(35.7)/(√(40) ) \n=5.64

Test statistic t = Mean diff/STd error = 1.613

df = 39

5
2. Expand the brackets and simplify:
a) X(2x + 3)​

Answers

Answer:

2x^2 +3x

Step-by-step explanation:

X(2x + 3)​

Distribute

2x*x + 3x

2x^2 +3x

Divide 4 2/15 by 3.1.

Answers

Answer:

Step-by-step explanation:

4 2/15 / 3.1 = 1.33333333333

Abcd is a parallelogram. if m angle dab=115 then what does m angle bcd equal

Answers

I drew a picture, and unfortunately there isn't a way to upload it, so I'll just have to explain it to you.
DAB and BCD are opposite angles on a parallelogram, which makes that they are alternate interior angles when looking at it from a perspective of 2 parallel intersected lines. This means that DAB will have the same value as BCD, therefore BCD = 115 degrees
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