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3 years ago

Enter the 3 next terms from the geometric sequence below 2,8,32

Mathematics

1 answer:

Andrews [41]3 years ago

7 0

Answer:

128, 512, and 2048

Step-by-step explanation:

When you look at the sequence already given, you can notice each value is being multiplied by 4:

2 x 4 = 8

8 x 4 = 32

Keep applying this rule to find the 4th, 5th, and 6th numbers:

32 x 4 = 128

128 x 4 = 512

512 x 4 = 2048

These are your answers

Hope this helps!

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Consider 8x2 - 48x = -104. Write the equation so that a = 1: x^2 + __x =__

Ymorist [56]

Answer:

x² -6x = -13

Step-by-step explanation:

Divide the equation by 8, the current value of "a".

... (8x² -48x)/8 = -104/8

... x² -6x = -13

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3 years ago

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Shown below is a blueprint for a rectangular kennel at a pet hotel.

yulyashka [42]

Answer:

The total length of fencing needed to enclose the kennel 74 feet.

Step-by-step explanation:

Given:

The blueprint of the rectangular kennel shows one side is 23 feet and another side is 14 feet.

As it is a rectangular shape, let the two sides be the length and the breadth of the rectangular kennel. i.e

$length = L = 23\ feet\\breadth = B = 14\ feet\\$

To find:

Total length of fencing needed is to enclose the kennel. i.e

Perimeter of a rectangular kennel = ?

Solution:

we have the formula for perimeter of a rectangle as giving below.

$\textrm{perimeter of rectangle} = 2(length + breadth) \\\textrm{total length of fencing} = 2( L+B)\\ \textrm{substituting the values of length and breadth we get}\\ \textrm{total length of fencing} = 2(23+14)\\=2\times37\\= 74\ feet$

Therefore,the total length of fencing needed to enclose the kennel 74 feet.

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3 years ago

Can some one help pls

arlik [135]

Answer: <DEF & <JKL

Step-by-step explanation:

they equal 90 degrees

complementary angles equal 90 degrees

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3 years ago

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Which equation applies the associative property of multiplication?

tamaranim1 [39]

<span>associative property of multiplication
answer
</span><span>A.−125 ⋅ (712 ⋅ 19) ⋅ 85 = (−125 ⋅ 712) ⋅ (19 ⋅ 85) </span>

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3 years ago

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Among U.S. cities with a population of more than 250,000 the mean one-way commute time to work is 24.3 minutes. The longest one-

joja [24]

Answer:

a) 9.18% f the New York City commutes are for less than 29 minutes.

b) 26.39% are between 29 and 36 minutes.

c) 67.55% are between 29 and 44 minutes

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 38.7, \sigma = 7.3$

What percent of the New York City commutes are for less than 29 minutes?

This is the pvalue of Z when X = 29.

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{29 - 38.7}{7.3}$

$Z = -1.33$

$Z = -1.33$ has a pvalue of 0.0918.

So 9.18% f the New York City commutes are for less than 29 minutes.

What percent are between 29 and 36 minutes?

This is the pvalue of Z when X = 36 subtracted by the pvalue of Z when X = 29.

X = 36

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{36 - 38.7}{7.3}$

$Z = -0.37$

$Z = -0.37$ has a pvalue of 0.3557.

X = 29

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{29 - 38.7}{7.3}$

$Z = -1.33$

$Z = -1.33$ has a pvalue of 0.0918.

So 0.3557 - 0.0918 = 0.2639 = 26.39% are between 29 and 36 minutes.

What percent are between 29 and 44 minutes?

This is the pvalue of Z when X = 44 subtracted by the pvalue of Z when X = 29.

X = 44

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{44 - 38.7}{7.3}$

$Z = 0.73$

$Z = -0.37$ has a pvalue of 0.7673.

X = 29

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{29 - 38.7}{7.3}$

$Z = -1.33$

$Z = -1.33$ has a pvalue of 0.0918.

So 0.7673 - 0.0918 = 0.6755 = 67.55% are between 29 and 44 minutes

6 0

3 years ago