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4 years ago

Can someone help me with this and also explain please

Mathematics

1 answer:

sveticcg [70]4 years ago

3 0

13n+4
there is an equal difference between each number where four is added on each time, so you would add for on to the last number which would give you the 13 and use the +4 at the end to show the differences between the numbers

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A book contains an average of 300 words per page. If you read one page in 68 seconds, what is your reading rate in words per min

Damm [24]

Try this:

1 page 300 words
---------- * --------------- = 4.41 words per sec, or
68 sec 1 page

4.41 words 60 sec
---------------- * ----------- = 265 words per minute, or
1 sec 1 min

265 wpm * 60 min
--------- = 15882 wpm
1 hr

4 0

3 years ago

Which value for x makes the following number sentence true? 12x = 6x + 24

denis23 [38]

To solve this, first subtract 6x from both sides.

That is because there cannot be the same variable on both sides of the equation. The new equation would be:

6x=24

Now divide by both sides of the equation by 6

x=4

Hope this helped! Tell me if you have any more questions!

5 0

3 years ago

The 5th term in a geometric sequence is 40. The 7th term is 10. What is (are) the possible value(s) of the 4th term?

Lena [83]

Answer:

possible values of 4th term is 80 & - 80

Step-by-step explanation:

The general term of a geometric series is given by

$a(n)=ar^{n-1}$

Where a(n) is the nth term, r is the common ratio (a term divided by the term before it) and n is the number of term

Given, 5th term is 40, we can write:

$ar^{5-1}=40\\ar^4=40$

Given, 7th term is 10, we can write:

$ar^{7-1}=10\\ar^6=10$

We can solve for a in the first equation as:

$ar^4=40\\a=\frac{40}{r^4}$

Now we can plug this into a of the 2nd equation:

$ar^6=10\\(\frac{40}{r^4})r^6=10\\40r^2=10\\r^2=\frac{10}{40}\\r^2=\frac{1}{4}\\r=+-\sqrt{\frac{1}{4}} \\r=\frac{1}{2},-\frac{1}{2}$

Let's solve for a:

$a=\frac{40}{r^4}\\a=\frac{40}{(\frac{1}{2})^4}\\a=640$

Now, using the general formula of a term, we know that 4th term is:

4th term = ar^3

Plugging in a = 640 and r = 1/2 and -1/2 respectively, we get 2 possible values of 4th term as:

$ar^3\\1.(640)(\frac{1}{2})^3=80\\2.(640)(-\frac{1}{2})^3=-80$

possible values of 4th term is 80 & - 80

3 0

4 years ago

5. Joey has $125 to spend on school clothes this year. He only spent $80.00 on school

OLga [1]

Answer:

64%

Step-by-step explanation:

divide 80 by 125 and get .64

7 0

3 years ago

Read 2 more answers

PRACTICE ANOTHER A piece of wire 18 m long is cut into two pieces. One piece is bent into a square and the other is bent into an

sergejj [24]

Answer:

Step-by-step explanation:

We have the equations

4x + 3y = 18 where x = the side of the square and y = the side of the triangle

For the areas:

A = x^2 + √3y/2* y/2

A = x^2 + √3y^2/4

From the first equation x = (18 - 3y)/4

So substituting in the area equation:

A = [ (18 - 3y)/4]^2 + √3y^2/4

A = (18 - 3y)^2 / 16 + √3y^2/4

Now for maximum / minimum area the derivative = 0 so we have

A' = 1/16 * 2(18 - 3y) * -3 + 1/4 * 2√3 y = 0

-3/8 (18 - 3y) + √3 y /2 = 0

-27/4 + 9y/8 + √3y /2 = 0

-54 + 9y + 4√3y = 0

y = 54 / 15.93

= 3.39 metres

So x = (18-3(3.39) / 4 = 1.96.

This is a minimum value for x.

So the total length of wire the square for minimum total area is 4 * 1.96

= 7.84 m

There is no maximum area as the equation for the total area is a quadratic with a positive leading coefficient.

3 0

3 years ago