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xxMikexx [17]
3 years ago
14

Can someone help its math :)

Mathematics
1 answer:
belka [17]3 years ago
8 0

Answer:

m<F = 53

Step-by-step explanation:

Exterior angles thm:

5x - 10 + 3x + 14 = 100

8x + 4 = 100

8x = 104

x = 13

m<F:

3x + 14

3(13) + 14

39 + 14

53

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Rewrite 4n^2+2n as a factorial.
Shkiper50 [21]

Answer:

4n²+2n as a factorial is given as:

= (2n+1)!/(2n-1)!

Step-by-step explanation:

We are given an expression which has to be converted into factorial form.

The expression is as follows:

4n^{2} + 2n\\ = 2n(2n+1)\\ = (2n+1)2n\\

Now we know that 2n+1 and 2n differs by '1' and the next smaller term is '2n-1'.

Hence, multiplying and dividing by '(2n-1)!'; we get:

= ((2n+1)(2n)(2n-1)!)/(2n-1)!

we know that x(x-1)(x-2)! = x!, so:

= (2n+1)!/(2n-1)!

4 0
3 years ago
Find the scale factor.
sveticcg [70]

Answer:

the scale factor is times 0.5

Explanation:

20 plus 10 is 30. Half of 20 is 10 so that is 0.5

It is also like that for the others

3 0
3 years ago
A 200-liter tank initially full of water develops a leak at the bottom. Given that 20% of the water leaks out in the first 5 min
Leya [2.2K]

Answer:

127.53 liters left after 10 minutes

Step-by-step explanation:

Let

A \to Amount

t \to time

Given

A(0) = 200 --- initial

A(5) = 200 * (1 - 20\%) = 160 --- the amount left, after 5 minutes

Required

A(10) --- amount left after 5 minutes

To do this, we make use of:

A(t) = A(0) * e^{kt}

A(5)  = 160 implies that:

160 = 200 * e^{k*5}

Divide both sides by 200

0.80 = e^{k*5}

Take natural logarithm of both sides

\ln(0.80) = \ln(e^{k*5})

\ln(0.80) = \ln(e^{5k})

\ln(0.80) = 5k\ln(e)

So, we have:

-0.223 = 5k

Divide by 5

k = -0.045

So, the function is:

A(t) = A(0) * e^{kt}

A(t) = 200 * e^{-0.045t}

The amount after 10 minutes is:

A(10) = 200 * e^{-0.045*10}

A(10) = 200 * e^{-0.45}

A(10) = 127.53

3 0
3 years ago
I need help please so if you could help that would be nice. Also i will make brainliest
timurjin [86]
No it is not a function. You have to be able to write y=mx+b
5 0
3 years ago
In a group of 18 pupils, 2 play the flute only.
nlexa [21]

Answer:

flute

Step-by-step explanation:

8 0
3 years ago
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