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vesna_86 [32]
3 years ago
11

During the quarantine, the Jones family installed a rectangular pool in their backyard that was 10 feet wide and 15 feet long. T

he Martin family, not to be outdone, wanted to install a circular pool in their backyard but wanted to make sure that their pool covered a larger area of their yard than the Jones’ pool covered of their backyard. What should the diameter of the Martin family’s pool be to ensure that it is larger than the Jones’ family (round to the nearest foot)?
Mathematics
1 answer:
umka21 [38]3 years ago
7 0

Answer:

hshsgd you mam lesson ma

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Write an explicit formula for the nth term or the sequence 8,-24, 72
miskamm [114]

Answer:

T_n =-\frac{8}{3} (-3)^{n}

Step-by-step explanation:

Given

Sequence: 8, -24, 72

Required

Determine the n term

The above sequence is geometric. So, we calculate the common ratio first:

r = \frac{T_2}{T_1}

r = \frac{-24}{8}

r = -3

The equation is then calculated using:

T_n = ar^{n-1}

Where

a = T_1 = 8

and

r = -3

The equation becomes:

T_n =8 * (-3)^{n-1}

Apply law of indices:

T_n =8 * (-3)^{n} * (-3)^{-1}

T_n =8 * (-3)^{n} * \frac{1}{-3}

T_n =-8 * (-3)^{n} * \frac{1}{3}

T_n =-\frac{8}{3} * (-3)^{n}

T_n =-\frac{8}{3} (-3)^{n}

5 0
3 years ago
What is 2(n-1)+4n=2(3n-1)
Xelga [282]

Answer:

Infinite solutions

Step-by-step explanation:

<em><u>Distribute the 2 to (n - 1), and distribute the 2 to (3n - 1), like so:</u></em>

2(n - 1) + 4n = 2(3n - 1)

2n - 2 + 4n = 6n - 2

<em><u>Add like terms (2n and 4n):</u></em>

6n - 2 = 6n - 2

<em><u>Subtract 6n from both sides:</u></em>

-2 = -2

Since we ended up with the same term on both sides, we can't do anything else, meaning this equation has infinite solutions.

4 0
3 years ago
50 points!!!!
almond37 [142]

Answer:

5 inches

Step-by-step explanation:

Area of the cake:

  • 1 slice = 13 in²
  • 6 slices = 13 in² * 6 = 78 in²

Area circle: πr²

Solve for r:

  • 78 = πr²
  • r² ≈ 24.84      
  • r ≈ 5

-Chetan K

8 0
2 years ago
Read 2 more answers
The graph of a linear equation has a slope of -2 and passes through the point (-4,3) what is the equation of the line
valentinak56 [21]

Answer:

I need points

Step-by-step explanation:

nononon

3 0
3 years ago
3x+7=8x+7<br><br> a. infinite solutions<br> b. one solution<br> c. no solution
kykrilka [37]

Answer:

The above has one solution

Hope this helps

4 0
3 years ago
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