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8090 [49]
3 years ago
14

Evaluate a + 4 when a = 7

Mathematics
1 answer:
aalyn [17]3 years ago
4 0
If a is equal to 7. The answer is 11. 7+4
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What is the sum of the first 12 terms of the geometric series below 1/2+2+8+32+
Georgia [21]

∴\frac{1}{2} +2+8+32.......12^{th}term =2796202.5

Step-by-step explanation:

First term(a) = \frac{1}{2}   common ratio(r)     =\frac{2}{\frac{1}{2} }   =4

n= 12

S_{n}=\frac{a(r^n-1)}{(r-1)}

S_{12}=\frac{\frac{1}{2}(4^{12}-1) }{4-1} =2796202.5

∴\frac{1}{2} +2+8+32.......12^{th}term =2796202.5

5 0
3 years ago
A point in the figure is selected at random. Find the probability that the point will be in the part that is NOT shaded.
Dovator [93]

Answer:

B

Step-by-step explanation:

So the question really is what is the probability that the point is in the square? You cannot pick something surrounding the circles because you do not know anything about that region.

This is solved by comparing areas. There are 2 full circles there. 1 circle has an area of pi*r^2

Total shaded area = 2 * pi * r^2.

Let r = 3   This is a completely random choice. No matter what number you choose for r, the answer will come out the same. When you get along a little further in math, you will find that you can just use letters.

Total shaded area = 2 * 3.14 * 3^2

Total shaded area = 2 * 3.14 * 9

Total shaded area = 56.55

Total area of the square.

s = 2*r

s = 2*3

s = 6

Area of the square = 6^2 = 36

Total area of both regions = 56.55 + 36 = 92.55

Answer

% = (area of square) * 100% / Total area of both regions

% = 3600 / 92

% = 39%

Obviously the answer I get is not offered. The closest answer is B so I will choose that.

==========================

This is how this question would be done without using any value for r.

Area of shaded region = 2 pi r^2 = 6.28 r^2

Area of square  = d^2 where d = 2r

Area of square = 4 r^2

Total area = 6.28 r^2 + 4r^2 = 10.28 r^2

Area of square to total = (4r^2/10.28 r^2 ) * 100%

Area of square to total (as a %) = 4/10.28  * 100 = 39% which gives the same answer.

7 0
3 years ago
Read 2 more answers
Robert and dustin agree to share the cost of buying a computer that costs $1750. if robert agrees to pay $450 more than dustin,
lawyer [7]
R + d = 1750
r = d + 450

d + 450 + d = 1750
2d + 450 = 1750
2d = 1750 - 450
2d = 1300
d = 1300/2
d = 650 <=== what Dustin pays

r = d + 450
r = 650 + 450
r = 1100 ...Robert pays 1100
7 0
3 years ago
My question is what is the answer for (1−2g+4h)⋅5??
DerKrebs [107]

Answer:

Simple!

Step-by-step explanation:

Multiply 5 into each term into the parenthesis.

5-`10g + 20h

6 0
3 years ago
family has a square driveway with an area of 210.25 m exponent 2. Find the perimeter of the driveway. Round your answer to the n
miv72 [106K]

Answer:

191 ft.

Step-by-step explanation:

From the question given above, the following data were obtained:

Area (A) of square = 210.25 m²

Perimeter (P) =?

Next, we shall determine the length of each side of the drive way. This can be obtained as follow:

Area (A) of square = 210.25 m²

Length (L) =?

Area of a square is given by:

A = L²

210.25 = L²

Take the square root of both side

L = √210.25

L = 14.5 m

Thus, the length of each side of the drive way 14.5 m

Next, we shall determine the perimeter of the drive way. This can be obtained as follow:

Length (L) = 14.5 m

Perimeter (P) of square =?

Perimeter of a square is given by:

P = 4L

P = 4 × 14.5

P = 58 m

Finally, we shall convert 58 m to foot. This can be obtained as follow:

1 m = 3.3 ft

Therefore,

58 m = 58 m × 3.3 ft / 1 m

58 m = 191.4 ft

58 m = 191 ft

Thus, 58 m is equivalent to 191 ft.

Therefore, the perimeter of the drive way is 191 ft.

8 0
3 years ago
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