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Nat2105 [25]
4 years ago
10

Which expression is equivalent to 60x^20y^24/30x^10y^12 brainly

Mathematics
2 answers:
n200080 [17]4 years ago
6 0

Answer:

\frac{60x^{20}y^{24}}{30x^{10}y^{12}} in simplest form would be 2x^{10}y^{12}.

Step-by-step explanation:

Given expression \frac{60x^{20}y^{24}}{30x^{10}y^{12}}.

Let us simplify given rational expression in smaller parts.

\frac{60}{30} = 2

\frac{x^{20}}{x^{10}} = x^{20-10} = x^{10}

\frac{y^{24}}{y^{12}} = y^{24-12} = y^{12}.

Combining all terms together, we get

2x^{10}y^{12}.

Therefore,

\frac{60x^{20}y^{24}}{30x^{10}y^{12}} in simplest form would be 2x^{10}y^{12}.

Leno4ka [110]4 years ago
4 0
(60/30)(x^20/x^10)(y^24/y^12)
(2)(x^10)(y^12)
2x^10y^12
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If h(x) = x – 7 and g(x) = x2, which expression is equivalent to (g circle h) (5)?
Tema [17]
<h3>Answer:  4</h3>

=====================================================

Work Shown:

(g \circ h)(x) = g(h(x))

g(x) = x^2\\\\g(h(x)) = (h(x))^2 \ \text{replace every x with h(x)}\\\\g(h(x)) = (x-7)^2 \ \text{replace h(x) with x-7}\\\\(g \circ h)(x) = (x-7)^2

Now plug in x = 5

(g \circ h)(x) = (x-7)^2 \\\\(g \circ h)(5) = (5-7)^2 \\\\(g \circ h)(5) = (-2)^2\\\\ (g \circ h)(5) = 4

---------------------

Alternative approach:

h(x) = x-7

h(5) = 5-7

h(5) = -2

So this means

g(h(5)) = g(-2)

and

g(x) = x^2

g(-2) = (-2)^2

g(-2) = 4

Therefore making

g(-2) = g(h(5)) = (g \circ h)(5) = 4

8 0
4 years ago
Read 2 more answers
The list shows the ages of cats at a local shelter.
frez [133]
Not 1 or 3
it can't be 4 so it is the second one

3 0
3 years ago
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How much money has to be invested at 2.9% interest compounded continuosly to have 34,000 after 18 years
navik [9.2K]

Answer:

\$20,173.31  

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

A=P(e)^{rt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest in decimal  

t is Number of Time Periods  

e is the mathematical constant number

we have  

t=18\ years\\ A=\$34,000\\ r=0.029  

substitute in the formula above  

34,000=P(e)^{0.029*18}  

P=34,000/((e)^{0.029*18})=\$20,173.31  

7 0
4 years ago
Please answer both questions and show all your work. I am in a hurry... please...
nikklg [1K]

Answer: 1) 9 days

2) a)37.5%

b)50%

c) 33.33%


Step-by-step explanation:

1) - Let's call:

x: number of days the company supposed to finish the order.

- You know that the company had to produce 40 items daily, but it produced 20 items more daily and finished the order 3 days ahead of time. Therefore, you can express this as following:

40x=(40+20)(x-3)\\40x=60(x-3)

- Solve for x:

40x=60x-180\\-20x=-180\\x=9

(The answer is 9 days)

2) a) The percent that belongs to three people if eight eight people share equally in an inheritance, can be calculated as following:

\frac{3}{8}*100=37.5%

b) The percent that belongs to three people if six people share equally in an inheritance (because two of the people are disinherited) can be calculated as following:

\frac{3}{6}*100=50%

c) - The increase goes from 1/8 to 1/6, therefore, you must subtract them:

\frac{1}{6}-\frac{1}{8}=\frac{1}{24}=0.04167

- Divide the result by 1/8 and multiply by 100 to obtain the percent:

\frac{0.04167}{\frac{1}{8}}*100=33.33%

5 0
3 years ago
Solve for z.<br> a(5 - 2) = bx – 8<br><br> x=
nignag [31]

Answer:

x = (3a + 8)/b

Step-by-step explanation:

a(5 - 2) = bx – 8

bx = a(5 - 2) + 8

x = (3a + 8)/b

4 0
4 years ago
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