Help with the algebra expression.

Mathematics

2 answers:

Serhud [2]3 years ago

8 0

$3^{mn} ^{2} \sqrt{n}$

alexdok [17]3 years ago

7 0

We can rewrite a cube root into a fractional index form.
So, we can rewrite:
$\sqrt[3]{m^{2}n^{5}} = (m^{2}n^{5})^{\frac{1}{3}$
$= m^{\frac{2}{3}} \cdot n^{\frac{5}{3}}$

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Which fraction is the reciprocal of 3 4/5?

liraira [26]

3 4/5 = 19/5

reciprocal of 19/5 = 5/19

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3 years ago

What is AE ? ___ units

sattari [20]

We can form two ratios to help us solve this:

(2x+6):10 = (x+6):8

(2x+6) (x+6)
--------- = --------
10 8

Cross multiply:
8(2x+6) = 10(x+6)

Foil:
16x + 48 = 10x + 60

Move like variables to the same side:
16x - 10x = 60 - 48
6x = 12
x = 2

Line AE = 2x+6
Plug 2 for x into the equation: 2(2) + 6 = 10

Hope this helps, and May the Force Be With You!

-Jabba

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3 years ago

If 32 people are each served a pint of lemonade, how many gallon pitchers are needed to hold all of the lemonade?

Elenna [48]

32 people each get a pint and 1 pint is roughly 0.125 gallons so assuming that the pitcher can hold one gallon each then it would be 4 pitchers D is your answer.

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3 years ago

G find the gradient field of the function g(x, y, z) = 8 x y + 5yz + 5xz

Elanso [62]

If the original volumes of liquid is represented by x, we have x=x for A and B. Since 120mL is poured from A to B, A loses 120 mL (x-120) and B gains 120 mL (x+120). Since we know that B contains 4 times as much liquid as A is now (x-120), we have 4*(x-120)=(x+120)=B. Using the distributive property, we get 4x-480=x+120. Adding 480 to both sides, we get 4x=x+600. After that, we can subtract both sides by x to get 3x=600. Lastly, we can divide both sides by 3 to get x=200=the original amount of liquid. Since A=x-120, we get A=200-120=80

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3 years ago

Encik Zulhazim deposited RM8000 in a fixed deposit account at Bank T for 2 years with interest rate of 5% per annum. What is the

creativ13 [48]

Answer: $34.08

Step-by-step explanation:

$\text{Compound Interest}:A=P\bigg(1+\dfrac{r}{n}\bigg)^{nt}\\\\\bullet A=\text{accrued amount (final balance)}\\\bullet P=\text{principal (amount invested)}\\\bullet r=\text{interest rate (convert percentage to a decimal)}\\\bullet n=\text{number of times compounded (in one year)}\\\bullet t=\text{time (number of years)}\\\\\\\underline{\text{Given:}}\\\bullet P=8000\\\bullet r=5\% (0.05)\\\bullet n=3\ \text{(every 4 months is 3 times per year)}\\\bullet t=2$

$A=8000\bigg(1+\dfrac{0.05}{3}\bigg)^{3(2)}\\\\\\A = \large\boxed{8834.08}$

$\text{Simple Interest}:A=P(1+rt)\\\\A=8000+8000[1+0.05(2)]\\\\A=\large\boxed{8800.00}$

Difference = Compound Interest - Simple Interest

= 8834.08 - 8800.00

= 34.08

4 0

3 years ago