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2 years ago

5 + 17 + 29 + 41 + 53 What is the 12th term of the series

Mathematics

2 answers:

Nezavi [6.7K]2 years ago

7 0

The answer is 137 your welcome

tensa zangetsu [6.8K]2 years ago

4 0

To get the 12th term, first find the rule of the series. To do so, subtract 17 by 5 which gives you 12.
You can do the same to other numbers by subtracting the number before the number you chose.
For example, 41.
41 subtracted with 29 results with 12.
The rule for this series is +12.
So each number is added by 12 to reach towards the next.
The 5th term 53 +12 =65,
the 6th term65 +12= 77,
the 7th term 77 +12 =89,
the 8th term 89+12= 101,
the 9th term 101 +12= 113,
the 10th term 113 + 12= 125
the 11th term 125 + 12 = 137,
the 12th term 137 + 12= 149.

Answer: 12th term of the series is 149.

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3 years ago

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Find the volume of a cube with side length of 7 in.

anastassius [24]

Answer: 343 in³

Explanation: In this problem, we're asked to find the volume of a cube.

It's important to understand that a cube is a type of rectangular prism and the formula for the volume of a rectangular prism is shown below.

Volume = length × width × height

In a cube however, the length, width, and height are all the same. So we can use the formula side × side × side instead.

So the formula for the volume of a cube is side × side × side or s³.

So to find the volume of the given cube, since each side has a length of 7 inches, we can plug this information into the formula to get (7 in.)³ or (7 in.)(7 in.)(7 in).

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3 years ago

What are interior angles

Sloan [31]

Interior angles are the angles on the interior of a shape, for example the interior angles of a square are 90(degrees)

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3 years ago

What is the equation in point-slope form of a line that passes through the points (3, −5) and (−8, 4) ?

maxonik [38]

ANSWER

$y + 5= - \frac{9}{11} (x-3)$

or

$y - 4= - \frac{9}{11} (x + 8)$

EXPLANATION

We want to find the equation in point-slope form of a line that passes through the points (3, −5) and (−8, 4).

The point-slope form is given by;

$y-y_1=m(x-x_1)$

where

$m = \frac{4 - - 5}{ - 8 - 3} = \frac{4 + 5}{ - 11} = - \frac{9}{11}$

is the slope of the line.

If

$(x_1,y_1)=(3,-5)$

The point-slope form is

$y + 5= - \frac{9}{11} (x-3)$

On the other hand, if
$(x_1,y_1)=( - 8,4)$

Then the point-slope form is,

$y - 4= - \frac{9}{11} (x + 8)$

These two equations are the same when simplified.

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3 years ago

Current government spending to fund public schools is about 6×1011 dollars per year. The average cost nationally for a student t

NeX [460]

60000000 students can attend public schools with the current funding

Solution:

Given that Current government spending to fund public schools is about $6 \times 10^{11}$ dollars per year

The average cost nationally for a student to attend a public school for a year is about $10,000

To find: number of students can attend public schools with the current funding

$\text{ current funding } = 6 \times 10^{11} \text{ dollars}$

$\text{ average cost for 1 student } = 10000 \text{ dollars }$

Therefore,

$\text{ number of students } = \frac{\text{ current funding }}{\text{ average cost of 1 student}}$

Substituting the values we get,

$\text{ number of students } = \frac{6 \times 10^{11}}{10000}\\\\\rightarrow \frac{6 \times 10^{11}}{10000} = \frac{6 \times 10^{11}}{10^4}\\\\\rightarrow \frac{6 \times 10^{11}}{10^4} = 6 \times 10^{11-4} = 6 \times 10^7\\\\\rightarrow 6 \times 10^7 = 60000000$

Thus 60000000 students can attend public schools with the current funding

6 0

3 years ago