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2 years ago

Find a formula for a geometric sequence that begins with 7, 35, 175,...

Mathematics

2 answers:

Maslowich2 years ago

7 0

Answer:

Step-by-step explanation:

a = 7

r = 35/7 = 5

a × r^(n-1)

7 × 5^(n-1)

Salsk061 [2.6K]2 years ago

5 0

Answer:

b bn = 7 (5)^ (n-1)

Step-by-step explanation:

First we need to find the ration

Take the second term and divide by the first term

35/7 = 5

The formula for the sequence is given by

an = a0 (r) ^(n-1)

where a0 is the first term, r is the ratio

an = 7 (5)^ (n-1)

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Which critical value is appropriate for a 99% confidence level where nequals17, sigma is unknown, and the population appears

My name is Ann [436]

Answer:

t Subscript alpha divided by 2 = 2.921

Step-by-step explanation:

With sample sizes lower than 30, we use the t-test.

Otherwise, we use the z-test.

Here, n = 17

So we use the t-test.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 17 - 1 = 16

Now, we have to find a value of T, which is found looking at the t table, with 16 degrees of freedom(y-axis) and a confidence level of 0.99( $t_{1 - (\frac{1-0.99}{2}}) = 0.995$ ). So we have T = 2.921

So the correct answer is:

t Subscript alpha divided by 2 = 2.921

6 0

3 years ago

Read 2 more answers

If two thirds of a number is 56, what is three-quarters of that number?

Crank

Answer:

Step-by-step explanation:

56/2 = 28

28 x 3 = 84

To check work: 84/3 =28

5 0

3 years ago

Write an equation in slope-intercept form of the line that passes through (-1,-3) and is parallel to the graph of y=4.

strojnjashka [21]

Use the point slope equation: y - y1 = m(x - x1)

(-1, -3); m = 4
Plug these numbers in.

y - (-3) = 4(x - -1)
y + 3 = 4x + 4
y = 4x + 1

3 0

2 years ago

Read 2 more answers

What is x, the angle at which the diagonal beam meets the 10-foot beam at the top of the frame? 16.7° 17.5° 72.5° 73.3°

umka21 [38]

The complete question is

"A theater production group is making frames to support wall-like props. Three-foot beams form right triangles with 10-foot beams to allow them to stand, as shown in the image.

What is x, the angle at which the diagonal beam meets the 10-foot beam at the top of the frame?

16.7°, 17.5°, 72.5°,73.3°"

The value of angle x would be 16.7 degrees.

<h3>What is the right triangle?</h3>

A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse.

The angle of a right angle is always 90 degrees.

In order to find the value of x, a tan would be used.

This is because we have given the opposite and adjacent sides as 10 ft and 3 ft.

Tan Ф = opposite / adjacent

Tan Ф = (3/10)

= 16.7 degrees

The value of angle x would be 16.7 degrees.

Learn more about a right angle;

brainly.com/question/7116550

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6 0

1 year ago

For the rhombus below, find the measure of angles 1,2,3 and 4.

Alexus [3.1K]

Answer:

∠1 is 33°

∠2 is 57°

∠3 is 57°

∠4 is 33°

Step-by-step explanation:

First off, we already know that ∠2 is 57° because of alternate interior angles.

Second, it's important to know that rhombus' diagonals bisect each other; meaning they form 90° angles in the intersection. Another cool thing is that the diagonals bisect the existing angles in the rhombus. Therefore, 57° is just half of something.

Then, you basically just do some other pain-in-the-butt things after.

Since that ∠2 is just the bisected half from one existing angle, that means that ∠3 is just the other half; meaning that ∠3 is 57°, as well.

Next is to just find the missing angle ∠1. Since we already know ∠3 is 57°, we can just add that to the 90° that the diagonals formed at the intersection.

57° + 90° = 147°

180° - 147° = 33°

∠1 is 33°

Finally, since that ∠4 is just an alternate interior angle of ∠1, ∠4 is 33°, too.

5 0

3 years ago

Find a formula for a geometric sequence that begins with 7, 35, 175,...​

Find a formula for a geometric sequence that begins with 7, 35, 175,...