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2 years ago

What is the next term in the arithmetic sequence? 9,17,25,33,...

Mathematics

1 answer:

lions [1.4K]2 years ago

3 0

Answer:

41

Explanation:

To solve this problem we must first understand what the pattern is in the arithmetic sequence. Once we understand the pattern, we can then apply it to the final known term to find the next term.

Take a look at the arithmetic sequence given:

9, 17, 25, 33,...

Let's start by figuring out how they got the second term in the sequence. To do that, subtract the second term by the first term. This will reveal the pattern.

9 - first term

17 - second term

17 - 9 = 8

So, this means they added eight to get the next term. Therefore, the pattern should be 'add eight' to get the next term. Just to be sure the pattern we found is correct, apply it to the given arithmetic sequence.

9, 17, 25, 33,...

9 + 8 = 17

17 + 8 = 25

25 + 8 = 33

So, since 'adding eight' every time gives us the next term, the pattern is correct.

Finally, let's continue the pattern to find the next term.

9, 17, 25, 33,...

33 + 8 = 41

9, 17, 25, 33, 41,...

Therefore, the next term in the arithmetic sequence is 41.

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Aleks04 [339]

Answer:

60°

Step-by-step explanation:

ABCO is a parallelogram (opposite sides are parallel).

AO is equal to the radius of the circle, so BC must also equal the radius.

CO is equal to the radius of the circle, so AB must also equal the radius.

If we draw a line from O to B, we split the parallelogram into two triangles. Since OB is equal to the radius of the circle, each triangle is an equilateral triangle. Therefore, angle A is 60°.

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3 years ago

8 more than a number

Anuta_ua [19.1K]

Answer:

$\boxed{ 8 + x}$

Step-by-step explanation:

Hey there!

In most cases "the number" would be x.

So if the statement says 8 "more than a number",

It is saying 8 plus x or 8 + x.

Hope this helps :)

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2 years ago

Read 2 more answers

Can u guys please do the congruent question d

Lynna [10]

Answer:

SAS postulate , since an angles is equal in both triangles plus the diagonals are divided equally means that's equal in both of the triangles

6 0

2 years ago

The roof of a grain silo is in the shape of a cone. The inside radius is 20 feet, and the roof is 10 feet tall. Below the cone i

nirvana33 [79]

Answer:

41887.90 cubic feet

Step-by-step explanation:

We need to find the volume of the silo.

We simply need to find the volume of the cylindrical part and the conical part and add them together.

The body of the silo is a cylinder with height of 30 ft and radius of 20 ft and the roof is a cone with height 10 ft and radius 20 ft.

The volume of a cylinder is given as:

$V = \pi r^2h$

The volume of a cone is given as:

$V = \frac{1}{3} \pi r^2H$

where r = radius of cylinder and cone

h = height of cylinder

H = height of cone

Adding them together, we have that the volume of the silo is:

$V = \pi r^2h + \frac{1}{3} \pi r^2H$

$V = \pi r^2 (h + \frac{1}{3}H)\\ \\V = \pi * 20^2 (30 + [\frac{1}{3}* 10]) \\\\V = 1256.64 ( 30 + 3.33)\\\\V = 1256.64(33.33)\\\\V = 41887.90 ft^3$

The volume of the silo is 41887.90 cubic feet.

5 0

2 years ago

Crash testing evaluates the ability of an automobile to withstand a serious accident. A simple random sample of 12 small cars we

morpeh [17]

Answer:

The 95% confidence interval for the difference between proportions is (-0.046, 0.713).

Step-by-step explanation:

We want to calculate the bounds of a 95% confidence interval.

For a 95% CI, the critical value for z is z=1.96.

The sample 1 (small cars), of size n1=12 has a proportion of p1=0.6667.

$p_1=X_1/n_1=8/12=0.6667$

The sample 2, of size n2=15 has a proportion of p2=0.3333.

$p_2=X_2/n_2=5/15=0.3333$

The difference between proportions is (p1-p2)=0.3333.

$p_d=p_1-p_2=0.6667-0.3333=0.3333$

The pooled proportion, needed to calculate the standard error, is:

$p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{8+5}{12+15}=\dfrac{13}{27}=0.4815$

The estimated standard error of the difference between means is computed using the formula:

$s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.4815*0.5185}{12}+\dfrac{0.4815*0.5185}{15}}\\\\\\s_{p1-p2}=\sqrt{0.0208+0.0166}=\sqrt{0.0374}=0.1935$

Then, the margin of error is:

$MOE=z \cdot s_{p1-p2}=1.96\cdot 0.1935=0.3793$

Then, the lower and upper bounds of the confidence interval are:

$LL=(p_1-p_2)-z\cdot s_{p1-p2} = 0.3333-0.3793=-0.046\\\\UL=(p_1-p_2)+z\cdot s_{p1-p2}= 0.3333+0.3793=0.713$

The 95% confidence interval for the difference between proportions is (-0.046, 0.713).

8 0

3 years ago