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sergeinik [125]
3 years ago
9

Please help me, I’ve literally been trying for so long.

Mathematics
1 answer:
DaniilM [7]3 years ago
7 0

Let the cosecutive numbers be like this :

2n + 1 , 2n + 2 , 2n + 3 , 2n + 4 , 2n + 5

Odd , Even , Odd , Even , Odd

______________________________

So we have :

(2n+1)+(2n+3)+(2n+5)=(2n+2)+(2n+4) + 39

6n + 9 = 4n + 6 + 39

6n + 9 = 4n + 45

Subtract both sides 9

6n + 9 - 9 = 4n + 45 - 9

6n + 0 = 4n + 36

6n = 4n + 36

Subtract both sides 4n

6n - 4n = 4n - 4n + 36

2n = 0 + 36

2n = 36

Divide both sides by 2

2n ÷ 2 = 36 ÷ 2

<em>n</em><em> </em><em>=</em><em> </em><em>1</em><em>8</em><em> </em>

______________________________

So the numbers are :

2(18)+1 , 2(18)+2 , 2(18)+3 , 2(18)+4 , 2(18)+5

36 + 1 , 36 + 2 , 36 + 3 , 36 + 4 , 36 + 5

37 , 38 , 39 , 40 , 41

As u can see the Odd numbers are :

37 , 39 , 41

And we're done ...

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artcher [175]
Derivative of 4pi(r)^3 = 12pi(r)^2
3 0
3 years ago
7. Evaluate <br><img src="https://tex.z-dn.net/?f=%20%20log_2%20%5C%20%5Cfrac%7B1%7D%7B8%7D%20" id="TexFormula1" title=" log_2
PtichkaEL [24]

Answer:

log_{2}( \frac{1}{8} )  =  - 3

Step-by-step explanation:

Think of Log as a complimentary operation to powers.

log_{2}( \frac{1}{8} )

means you need to find the exponent of 2 that yields 1/8.

As this number is putting the base on the denominator, we know for a fact it must be some negative number, or

{2}^{ - x}  =  \frac{1}{ {2}^{x} }

Then, by trial and error works just fine, going through the powers of 2.

{2}^{-2} = \frac{1}{ {2}^{2} }  =  \frac{1}{4}  \\ {2}^{-3} = \frac{1}{{2}^{3} }  =  \frac{1}{8}

And that is it.

5 0
3 years ago
if there are 300 calories in 100 g of a certain food, how many calories are there in a 30 g portion of food​
kap26 [50]

Answer:

90 calories

Step-by-step explanation:

Calories : quantity of food

there are 300 calories in 100 g of a certain food

300 calories : 100 g food

how many calories are there in a 30 g portion of food​

Let x = number of calories

x calories : 30 g food

Equate both ratios

300 calories : 100 g food = x calories : 30 g food

300/100 = x/30

300 * 30 = 100 * x

9000 = 100x

x = 9000/100

x = 90

x = number of calories = 90 calories

6 0
3 years ago
What is 7+3t over 4 = -t over 8
katrin [286]
7+3t       -t
------- = -----  is the relevant equation here.  We don't ask, "What is 7+3t over
   4          8    -t over 8," but rather "Solve the following equation for t."

Cross multiplying, 56 + 24t = -4t
 
                                       -56
Then:  28t = 56, and t = ------ = -2 (answer)
                                         28

The solution to "<span>What is 7+3t over 4 = -t over 8" is t = -2.</span>
5 0
4 years ago
Which is the product of 4x^5-6x^4+4x^3-6x^2
Elanso [62]

Answer:

2 x^2 (2 x - 3) (x^2 + 1)

Step-by-step explanation:

Factor the following:

4 x^5 - 6 x^4 + 4 x^3 - 6 x^2

Factor 2 x^2 out of 4 x^5 - 6 x^4 + 4 x^3 - 6 x^2:

2 x^2 (2 x^3 - 3 x^2 + 2 x - 3)

Factor terms by grouping. 2 x^3 - 3 x^2 + 2 x - 3 = (2 x^3 - 3 x^2) + (2 x - 3) = x^2 (2 x - 3) + (2 x - 3):

2 x^2 x^2 (2 x - 3) + (2 x - 3)

Factor 2 x - 3 from x^2 (2 x - 3) + (2 x - 3):

Answer:  2 x^2 (2 x - 3) (x^2 + 1)

4 0
4 years ago
Read 2 more answers
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