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3 years ago

How do I solve this?

Mathematics

1 answer:

Kipish [7]3 years ago

7 0

Answer:

Step-by-step explanation:

$5(x-3)=\boxed5\cdot\boxed{(x-3)}\\\\25(x-3)^3=\boxed5\cdot5\cdot\boxed{(x-3)}\cdot (x-3)\cdot(x-3)\\\\GCF\bigg(5(x-3),\ 25(x-3)^3\bigg)=\boxed5\cdot\boxed{(x-3)}=5(x-3)$

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Find the measure of center: 9, 10, 12, 13, 13, 13, 15, 15, 16, 16, 18, 22, 23, 24, 24, 25

marin [14]

Answer:

Mean : 16.75

Median: 15.5

Mode: 13

Step-by-step explanation:

Given/To Find:

Find the measure of center:

9, 10, 12, 13, 13, 13, 15, 15, 16, 16, 18, 22, 23, 24, 24, 25

Solve:

Mean: Average

Formula: Adding all number in data then divide by the total number in data.

9 + 10 + 12 + 13 + 13 + 13 + 15 + 15 + 16 + 16 + 18 + 22 + 23 + 24 + 24 + 25 = 268

268/16 = 16.75

Median: Middle Number

Formula: Number in the middle

9, 10, 12, 13, 13, 13, 15, 15, 16, 16, 18, 22, 23, 24, 24, 25

15 + 16 = 31

31/2 = 15.5

Mode: Most often number: 13

Kavinsky

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3 years ago

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WILL GIVE BRAINLIEST!!! A fruit stand sells 3 pounds of tomatoes for $2.00. Graph the relationship and use the graph to estimate

Olegator [25]

Answer:

4.00

Step-by-step explanation:

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3 years ago

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Use the ratio test to determine whether the series is convergent or divergent.2 +4/2^2 + 8/3^2 + 16/4^2 +

egoroff_w [7]

Answer:

The result is 2 > 1. Hence, the series diverges

Step-by-step explanation:

You have the following series:

$2+\frac{4}{2^2}+\frac{8}{3^2}+\frac{16}{4^2}+...+\frac{2^n}{n^2}=\sum_{i=1}^{i=n}a_n$ (1)

You use the ratio test to determine if the series is convergent or divergent. The ratios test is given by:

$\lim_{n \to \infty} \frac{a_{n+1}}{a_n}$ (2)

Then, you replace the series (1) in (2):

$\lim_{n \to \infty} \frac{\frac{2^{n+1}}{(n+1)^2}}{\frac{2^n}{n^2}}= \lim_{n \to \infty} \frac{(2^n2)(n^2)}{2^n(n+1)^2}\\\\\lim_{n \to \infty} \frac{2n^2}{n^2+2n+1}= \lim_{n \to \infty} \frac{2n^2}{n^2[1+\frac{2}{n}+\frac{1}{n^2}]} \\\\\lim_{n \to \infty} \frac{2}{1+\frac{2}{n}+\frac{1}{n^2}}=\frac{2}{1+0+0}=2$

In the ratio test you have that if the limit is greater than 1, the series diverges.

The result is 2 > 1. Hence, the series diverges.

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4 years ago

Cameron wanted to buy some pens.They had 18 pens for $ 6.84 for 30 pens for $8.40 which is a better deal?

romanna [79]

$6.84 divided by 18= .38 which means 38 cents per pen

$8.40 divided by 30= .28 which means 28 cents per pen

so $8.40 for 30 pens is a better deal than 18 pens for $6.84 by ten cents.

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4 years ago

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dedylja [7]

Answer:

Step-by-step explanation:

A tangent is a line that touches a circle but never goes through it. Wherever the the tangent touches is called the point of tangency and creates a perpendicular bisector (90° angle).

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4 years ago

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