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inessss [21]
1 year ago
7

Discuss the order of operations to explain why the expressions [(12÷(2+ 2)] ^3 and (12 ÷ 2) + 2^3 do not havethe same value.

Mathematics
1 answer:
Volgvan1 year ago
5 0

The order of operations are different. Hence, the answers are not equal

Explanation:

Oder of operations using PEMDAS (Parenthesis, Exponent, Multiplication, Division, Addition, Subtraction)

[(12÷(2 + 2)]³ and (12 ÷ 2) + 2³

we solve seperately:

[(12÷(2+ 2)]³

we solve the parenthesis first:

(12 ÷ 4)³

then we apply division:

= (3)³

Then expand the exponent:

= 27

(12 ÷ 2) + 2³

we solve the parenthesis first:

6 + 2³

we expand the exponent:

6 + 8

we apply addition:

14

The order of operations are differnt. Hence, the answers are not equal

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Jasmine is designing boxes she will use to ship her jewelry. She wants to shape the box like a regular polygon. In order for the
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Answer:

The regular polygon that she should use is an equilateral  triangle

Step-by-step explanation:

The parameters given are;

Interior angles = 0.5 × Exterior angles

Exterior angles of a regular polygon = 360/n

Sum of interior angles of a regular polygon = (n - 2) × 180

Where n = the number of sides

Therefore, the sum of exterior angles of a regular polygon = 360°

Hence we have;

(n - 2) × 180 = 360/2 = 180

n - 2 = 180/180 = 1

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3 years ago
Which one doesn’t belong??
Iteru [2.4K]

Answer:

40% OR -1/4

Step-by-step explanation:

It could be 40% as all the other numbers are in fraction form while this one is written as a percent.

It could also be -1/4 because that is the only negative number.

7 0
3 years ago
Read 2 more answers
A company’s profit in dollars is modeled by the equation p(x) = –0.5x2 + 100x, where x represents the number of units sold.
serg [7]

Answers:

a. The company needs to sell 100 units to reach the maxmum profit.

b. The company's maximum profit is $5,000.

Solution:

a. How many unit does the company need to sell to reach the maximum profit?

p(x)=-0.5x^2+100x

This is a quadratic equation, and its graph is a parabola vertical (because the veriable "x" is square). Comparing with the general form:

p(x)=ax^2+bx+c; a=-0.5, b=100, c=0

a=-0.5<0 (negative), then the parabola opens downward, and it has a maximimun value (maximum profit) at its vertex.

We can find the abscissa of the vertex (units that the company needs to sell to reach the maximum profit using the following formula:

x=-b/(2a)

Replacing b by 100 and a by -0.5 in the formula above:

x=-100/[2(-0.5)]

x=-100/(-1)

x=100

The company needs to sell 100 units to reach the maximum profit.


b. What's the company's maximum profit?  

To determine the maximum profit we substitute the value of "x" obrained in part "a" in the quadratic equation:

x=100→p(100)=-0.5(100)^2+100(100)

p(100)=-0.5(10,000)+10,000

p(100)=-5,000+10,000

p(100)=5,000

The company's maximum profit is $5,000.

6 0
3 years ago
Candice spent 5 1/4 hours doing her homework. Her brother, Ronald, spent 1/2 that number of hours doing his homework. How many h
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B, 2 5/8.

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3 0
3 years ago
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