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Hunter-Best [27]
3 years ago
12

Question 6 (1 point) Mrs. Sullivan wants to make a square tablecloth for her dining room table. She has 121 ft? of fabric. What

are the possible side lengths of the tablecloth? A. 11 ft x 11 ft B. 11 ft x 2 ft C. 60.5 ft x 2 ft D. 60.5 ft x 60.5 ft​
Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
5 0

Answer:

c 60.5 ft x 2ft

Step-by-step explanation:

60.5 ft x 2 = 121 ft

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There are 4 red marbles and 3 blue marbles in a bag. Once a marble is drawn it is not replaced. Find the probability of drawing
Goshia [24]

Answer:

2/7

Step-by-step explanation:

4 red marbles and 3 blue marbles in a bag = 7 marbles

P(red) = red/total = 4/7

No replacement

3 red marbles and 3 blue marbles in a bag = 6 marbles

P(red) = red/total = 3/6 = 1/2

P(red, no replacement, red) = 4/7 * 1/2 = 2/7

5 0
4 years ago
A.) 15<br> B.) 45<br> C.) 60<br> D.) 30
Cerrena [4.2K]
Look at the picture.
measure of ∠2 is equal 30°

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3 years ago
I found the interval of convergence, but I am not sure how to do the second part, finding the sum of the series as a function of
antiseptic1488 [7]

The given series is geometric with common ratio 6^x - 9, which converges if |6^x - 9| (i.e. the interval of convergence). We have the well-known result

\displaystyle |r| < 1 \implies \sum_{n=0}^\infty ar^n = \frac{a}{1-r}

If you're not familiar with that result, it's easy to reproduce.

Let S_N be the N-th partial sum of the infinite series,

\displaystyle S_N = \sum_{n=0}^N \left(6^x - 9\right)^n = 1 + \left(6^x - 9\right) + \left(6^x - 9\right)^2 + \cdots + \left(6^x - 9\right)^N

Multiply both sides by the ratio.

\left(6^x - 9\right) S_N = \left(6^x - 9\right) + \left(6^x - 9\right)^2 + \left(6^x - 9\right)^3 + \cdots + \left(6^x - 9\right)^{N+1}

Subtract this from S_N to eliminate all the powers of the ratio between 0 and N+1.

\left(1 - \left(6^x - 9\right)\right) S_N = 1 - \left(6^x - 9\right)^{N+1}

Solve for S_N.

S_N = \dfrac{1 - \left(6^x - 9\right)^{N+1}}{10-6^x}

Now as N\to\infty, the exponential term converges to 0 and we're left with

\displaystyle \sum_{n=0}^\infty \left(6^x-9\right)^n = \lim_{N\to\infty} S_N = \boxed{\frac1{10-6^x}}

7 0
2 years ago
Prove the Isosceles Triangle Theorem as a paragraph proof.
tamaranim1 [39]

Answer:

Reflexive Property

SAS

<C

3 0
3 years ago
Solve the system by substitution.<br> -2y = x<br> 7x+9y = -45
Soloha48 [4]

Answer:

9

Step-by-step explanation:

substitute the value

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3 years ago
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