MATHEMATICS HIGH SCHOOL

What is the value of the expression below?8^1/3

A. 4
B.8/3
C.2/3
D. 2.

Answers

Answer 1
Answer: The answer is 2. The power of 1/3 represents the cube root of a number. 2 multiplied by its self is 8.
Answer 2
Answer:

Answer:

Step-by-step explanation:

8=2^3 so

(2^3)^(1/3)

2^(3(1/3))

2^1

2

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Zara has forgotten her 4-digit PIN code. She knows the first digit is a factor of 20 and the 4 digits make a number divisible by 5. How many different sets of 4 digits could it be?

Answers

800 different sets of 4 digit PIN could be made.

  • The First (single) digit is a factor of 20. So, it is among 1, 2, 4, 5. The other factors 10 & 20 are ignored, as they are 2 digits.

So, ways of choosing 1 out of 4 digits = 4 P 1 = 4

  • The Seconddigit can be any digit among he 10 digits : 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

So, ways of choosing 1 out of 10 digits = 10 P 1 = 10

  • Third digit can also be any digit among he 10 digits : 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

So, ways of choosing 1 out of 10 digits = 10 P 1 = 10

  • The Fourth digit can be amongst only 0 & 1, as the final PIN is divisible by 5.

So, ways of choosing 1 out of 2 digits = 2 P 1 = 2

Hence, total number of ways = 4 x 10 x 10 x 2 = 800 ways

To learn more, refer brainly.com/question/1216161?referrer=searchResults

Answer:

800 different sets of digits.

Step-by-step explanation:

Since the first digit is a factor of 20, the factors of 20 are 1,2,4,5,10,20. We only need the single digit factors which are 1,2,4 and 5. These 4 numbers can be permuted in 1 way for the first digit, so we have ⁴P₁.

For the second digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and also for the third digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and for the last digit, which is divisible by 5, it is either a 0 or 5, so we have two digits permuted in 1 way, ²P₁.

So, the number of different 4 digit number that Zara'2 4-digit PIN code could be is ⁴P₁ × ¹⁰P₁ × ¹⁰P₁ × ²P₁ = 4 × 10 × 10 × 2 = 800 different sets of digits

1. Solve the following equation using the quadratic formula: 3x2 + 6x + 8 = 6.2. Is the quadratic formula the most efficient way to solve this equation? Why or why not?

Answers

Answer:

1.x=-(3+√(3))/(3)\text{ (or) }x=(-3+√(3))/(3)

2. Quadratic formula is the most efficient way to solve this equation.

Step-by-step explanation:

We have been given an equation 3x^2+6x+8 = 6. We are asked to solve our given equation using quadratic formula.

x=(-b\pm√(b^2-4ac))/(2a), where,

b = Coefficient of x term,

c = Constant,

a = Coefficient of x^2 term.

3x^2+6x+8-6=6-6

3x^2+6x+2=0

Upon substituting our given values, we will get:

x=(-6\pm√(6^2-4(3)(2)))/(2(3))

x=(-6\pm√(36-24))/(6)

x=(-6\pm√(12))/(6)

x=(-6\pm √(4\cdot 3))/(6)

x=(-6\pm 2√(3))/(6)

x=(-6-2√(3))/(6)\text{ (or) }x=(-6+2√(3))/(6)

x=(-2(3+√(3)))/(2*3)\text{ (or) }x=(2(-3+√(3)))/(2*3)

x=-(3+√(3))/(3)\text{ (or) }x=(-3+√(3))/(3)

Therefore, the solutions for our given equation are x=-(3+√(3))/(3)\text{ (or) }x=(-3+√(3))/(3).

2. We cannot factor our given equation by splitting the middle term because there are no such numbers which add up-to 6 and whose product is 6.

Therefore, the quadratic formula is the most efficient way to solve this equation.

A bookstore manager marks down the price if older hardcover books, which originally sell for b dollars, by 46%a. Write the mark down as a decimal
b. Write two expressions for the sale price of the hardcover book
c. What is the price of a hardcover book for which the original retail price was $29.00
d. If you buy the book in part c how much do you save by paying the sale price?

Answers

Answer:

a) 46% reduction = 1-(46/100)= 0.54

b) 46% reduction = 1-(46/100)= 0.54

price after reduction: b*0.54 =0.54b

or b-(b*46)/100 = b-(46b/100)= (100b-46b)/100 = 54b/100

c) 29*0.54=$15.66

gold 29-(54*29)/100 = $15.66

d) $29-$15.66=$13.34

Step-by-step explanation:

Brian, Steve, and Rita invested a total of $24,000 in a business. Each person invested the same amount. Unfortunately, in the first quarter they suffered a loss of $4,500, which they shared equally. By what amount has each individual investment changed due to the loss?a-$8,000
b-$3,500
c-$1,500
d+$1,500
I would appreciate it anyone willing to help me asap I'm am stuck on the question :)

Answers

Given:
total investment of 3 partners is $24,000. 

24,000 / 3 = 8,000 each partner

loss of 4,500 shouldered by all partners

4,500 / 3 = 1,500 

Each partner shoulders a loss of 1,500. Choice C. - 1,500

A loss is a decrease from investments. A profit is an increase in investment.

Answer:

C:$-1,500

Step-by-step explanation:

#110 points
1. Which equation has a solution of 4 for n?
A. -3n = 12
B. 7 - n = 11
C. n - 6 = -2
D. 2.5n =

Answers

Answer:

n = 4 in equation C
Equation C!! (4-6= -2)

Craig is delivering boxes of paper to each floor of an office building. Each box weighs 64 pounds, and Craig weighs 160 pounds. If the capacity of the elevator is 2000 pounds, what is the maximum number of boxes he can deliver on each elevator trip?

Answers


If the maximum load on the elevator is  2,000 pounds,
and Craig weighs  160 pounds, that leaves

                       (2,000 - 160)  =  1,840 pounds for paper.

If each box weighs  160 pounds, then how many boxes
can he carry without going over the  1,840-pound limit ?

           (1,840  /  64)  =  28.75 .

28 boxes weigh  1,792 pounds, and 29 boxes weigh  1,856 pounds.

28 boxes will leave him with  48 more pounds of capacity,
but 29 boxes would weigh too much. 

He should take  28 boxes with him on each trip, and then,
on the last trip, he can use the extra  48 pounds allowed
to take his lunch up with him.
Solve:-

2000 - 160 = 1840

1840 ÷ 64 = 28.75

So, Craig can deliver about 28 boxes on each elevator trip.
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