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3 years ago

Which expression is equivalent n + n - 0.24n?

Mathematics

1 answer:

Vsevolod [243]3 years ago

8 0

Answer:

Without seeing the expressions that you can choose from, I can't tell you which one is correct, but I can tell you that n + n - 0.24n is equal to 1.76n

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In the expansion of (1/ax +2ax^2)^5 the coefficient of x is five. Find the value of the constant a.

DedPeter [7]

Answer:

80x⁴

Step-by-step explanation:

$(\frac{1}{ax} + 2ax^2)^5 = 5C_0(\frac{1}{ax})^5(2ax^2)^0 + 5C_1(\frac{1}{ax})^4(2ax^2)^1 + 5C_2(\frac{1}{ax})^3 (2ax^2)^2$

$+ 5C_3 (\frac{1}{ax})^2(2ax^2)^3 + 5C_4(\frac{1}{ax})^1(2ax^2)^4 + 5C_5(\frac{1}{ax})^0(2ax^2)^5$

$5C_0(\frac{1}{ax})^5(2ax^2)^0 =1 \times (\frac{1}{ax})^5 \times 1 = \frac{1}{a^5x^5}\\\\5C_1(\frac{1}{ax})^4(2ax^2)^1 = 5 \times (\frac{1}{ax})^4 \times (2ax^2)^1 = 10 ax^2 \times \frac{1}{a^4x^4} = \frac{10}{a^3x^2}\\\\5C_2 (\frac{1}{ax})^3 (2ax^2)^2= 10 \times (\frac{1}{ax})^3 \times (2ax^2)^2 = 10 \times \frac{1}{a^3x^3} \times 4a^2x^4 = \frac{40x}{a}\\\\5C_3 (\frac{1}{ax})^2 (2ax^2)^3 = 10 \times (\frac{1}{ax})^2 \times (2ax^2)^3 = 10 \times \frac{1}{a^2x^2} \times 8a^3 x^6 = 80ax^4\\\\$

$5C_4(\frac{1}{ax})^1(2ax^2)^4 = 5 \times \frac{1}{ax} \times 16a^4x^8 = 80a^3x^7\\\\5C_5(\frac{1}{ax})^0(2ax^2)^5 = 1 \times 1 \times 32a^5x^{10}$

The fourth term of the expansion has the constant a,

the coefficient of a is 80x⁴

6 0

3 years ago

Can somebody help me with this problem

JulsSmile [24]

The answer is B. Because when you add any two sides they are greater than the side that was not added.

8 0

4 years ago

Read 2 more answers

This diagram shows the dimensions of a concrete piece used to build a deck.

Inga [223]

Answer:

V=1,840in

Step-by-step explanation:

divide the shape into 2 rectangles V=l x w x h find the volume for the 2 rectangles and then add the answers

5x8x10=400

20x8x9=1,440

400+1,440=1,840in

6 0

3 years ago

PLEASE HELP ASAP

vovikov84 [41]

Surface area = 4πr²
⇒ 400 = 4 * 3.14 * r²
⇒ r² = 400/12.56
⇒ r² = 31.84
⇒ r = √31.84 = 5.64 inches

Answer is A.

Hope it helps!

8 0

3 years ago

Data show that men who are married, and also divorced or widowed men, earn quite a bit more than men the same age who have never

OlgaM077 [116]

Answer:

B. Married, widowed, or divorced men have high income jobs. A high income job tends to make an individual more dedicated. This dedication leads a man to get married.

Step-by-step explanation:

A lurking variable is one that is not measured in the given study but it will affect the relationship between the explanatory and response variables.

Now, in this case, we see that divorced or widowed men, are said to earn quite a little more than men that are of the same age who have never been married.

Now, we are told it does not imply that a man can raise his income by getting married.

This means that majority who have high income tend to consider getting married.

Thus, we can infer that having a high income job leads to a man being more dedicated and this leads him to getting married.

5 0

3 years ago

Which expression is equivalent n + n - 0.24n?​

Which expression is equivalent n + n - 0.24n?