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3 years ago

Evaluate the expression. Show your work. Points will be taken away if work is not clearly shown. 6∙7-3^2∙9+4^3 Answer: _________

Mathematics

1 answer:

lutik1710 [3]3 years ago

4 0

6∙7-3^2∙9+4^3
= 42 - 9*9 + 64
= 42 - 81 + 64
= 25

answer
25

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A 12-foot by 15-foot patio is increased by placing a stone border around the patio. The width of the border is the same all arou

Arisa [49]

Complete question :

A 12-foot by 15-foot patio is increased by placing a stone border around the patio. The width of the border is the same all around the patio.The perimeter of the patio after it is expanded is 74 feet. The equation which represents x, the width of the border is 2[(12+2x)+15+2x)]=74. What is the width of the border?

1) 2 1/2 feet

2) 3 feet

4) 5 feet

5) 8 1/2 feet

Answer:

2.5

Step-by-step explanation:

Solving for X in the perimeter equation :

2[(12+2x)+15+2x)]=74

Open the bracket

2[(12 + 2x + 15 + 2x)] = 74

2(27 + 4x) = 74

54 + 8x = 74

8x = 74 - 54

8x = 20

x = 20/8

x = 2.5

Hence, width fo border = 2.5

5 0

2 years ago

Let a = {1, 2, 3, 4, 5} b = {1, 3, 5} c = {4, 6}. find the cardinality of the given set. 33. n(a) 34. n(b) 35. n(a ⋃

bearhunter [10]

1) n(a) = 5

The cardinality of a set is the number of elements in that set. So, you simply need to count how many elements belong to the set, and the answer is 5

2) n(b) = 3

Simlarly, in this case you need to count how many elements belong to the set, the answer is 3

3) n(a ⋃ c) = 6

The union of two set is a set composed by all the elements belonging to either one of the sets, with no repetitions. So, since the first set contains all numbers from 1 to 5, the second set contains a 4, which however already belonged to the first set, but also a 6, which is added in the union. So, a ⋃ c = {1,2,3,4,5,6}, and thus n(a ⋃ c)=6.

4) n(a ⋂ c) = 1

The intersection of two sets is a set composed by the elements belonging to both sets. So, 1,2,3 and 5 don't belong to the intersection, because they belong to the first set alone, while 6 doesn't belong to the intersection because they don't belong to the first one. So, a ⋂ c = {4}, and thus n(a ⋃ c)=1.

4 0

3 years ago

Read 2 more answers

A. g(x)=3x^2 b. g(x)=(1/9x)^2 c. g(x)-1/3x^2 d. g(x)(1/3x)2

zaharov [31]

Answer:

the awnser would be a(g(x)=3x2

6 0

3 years ago

Velida took out a 5/1 variable-rate mortgage for $150,000. The interest rate

Afina-wow [57]

Answer:

Step-by-step explanation:

The amortization period in months is:

30 years * 12 = 360 months

The monthly interest rate would be 5.25%/12 = 0.004375

The payment for monthly mortgage formula would be:

$E=\frac{C*r}{1-(1+r)^{-n}}$

Where

E is the monthly mortgage payment

C is the cost of mortgage, cost is $150,000

r is the monthly rate of interest, which is 0.004375

n is the period, in months, which is 360

Substituting, we get our answer:

$E=\frac{C*r}{1-(1+r)^{-n}}\\E=\frac{150,000*0.004375}{1-(1+0.004375)^{-360}}\\E=\frac{656.25}{1-(1.004375)^{-360}}\\E=\frac{656.25}{0.7923}\\E=828.31$

So, the correct answer is B

3 0

3 years ago

17 + (9 + 10) = (17 + 9) + 10 A. True O B. False

JulijaS [17]

Answer: Did you mean to rewrite that

Step-by-step explanation:

3 0

2 years ago

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