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3 years ago

Write 100x^8 as the square of a monomial.

1 answer:

4 0

$\bf 100x^8~~ \begin{cases} 100=10\cdot 10\\ \qquad 10^2\\ x^8=x^{4\cdot 2}\\ \qquad (x^4)^2 \end{cases}\implies 10^2(x^4)^2\implies (10x^4)^2$

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Marks canoes rents for $20 plus $35 per hour you do not want to spend more than $1.50.for how many hours can you afford to rent

Mariulka [41]

You can get 3 hours in because $150-$20= $130
$130/35=3.7 hours but since he can’t spend over that amount it would be 3 hours

6 0

3 years ago

Read 2 more answers

Carlo puts tins into small boxes and into large boxes. He puts 6 tins into each small box. He puts 20 tins into each large box.

meriva

Answer: Carlo is incorrect

Step-by-step explanation:

3000/(2+3) = 600 (each ratio)

2:3 = 2(600):3(600) = 1200:1800

1200/6 = 200 small boxes

1800/20 = 90 large boxes

290 boxes altogether (large and small)

(large boxes/boxes altogether)x100

(90/290)x100 = 31%

31%>30%

Therefore Carlo is incorrect

8 0

3 years ago

Reduce the following fraction: -36x^4y^4z^5/-12x^6y^3z

Evgesh-ka [11]

$\bf \left.\qquad \qquad \right.\textit{negative exponents}\\\\
a^{-{ n}} \implies \cfrac{1}{a^{ n}}
\qquad \qquad
\cfrac{1}{a^{ n}}\implies a^{-{ n}}
\qquad \qquad 
a^{{{ n}}}\implies \cfrac{1}{a^{-{{ n}}}}\\\\
-------------------------------\\\\$

$\bf \cfrac{-36x^4y^4z^5}{-12x^6y^3z}\quad 
\begin{cases}
36=2\cdot 2\cdot 3\cdot 3\\
12=2\cdot 2\cdot 3
\end{cases}\implies \cfrac{-36}{-12}\cdot \cfrac{x^4y^4z^5}{x^6y^3z^1}
\\\\\\
\cfrac{\underline{-2\cdot 2\cdot 3}\cdot 3}{\underline{-2\cdot 2\cdot 3}}\cdot \cfrac{x^4y^4z^5x^{-6}y^{-3}z^{-1}}{1}\implies \cfrac{3}{1}\cdot 
\cfrac{x^4x^{-6}y^4y^{-3}z^5z^{-1}}{1}$

$\bf \cfrac{3}{1}\cdot \cfrac{x^{4-6}y^{4-3}z^{5-1}}{1}\implies 
\cfrac{3}{1}\cdot\cfrac{x^{-2}y^{1}z^4}{1}\implies 
\cfrac{3x^{-2}yz^4}{1}\implies \cfrac{3yz^4}{x^2}$

6 0

3 years ago

A bird catches a fish, flies 100 yards upward in a straight line, and then drops the fish. The fish lands at a spot that is 50 y

Marina CMI [18]

You can solve this using trigonometric functions.

The angle between the fish and the ground is
tan θ = 100 / 50
θ = tan-1 (2)
θ = 63.43°

The height of the bird before it dropped the fish is already given, which is 100 yards.

4 0

3 years ago

A woman bought a number of items for $24. She realized that if she had bought 4 more items for

Roman55 [17]

Answer:

The woman bought 2 items at $12 each.

Step-by-step explanation:

Given that a woman bought a number of items for $ 24, and she realized that if she had bought 4 more items for the same money, she would have paid $ 8 less per item, to determine how many Items did she buy the following calculation must be done:

X = 24

X + 4 = 24

24/2 = 12

24/6 = 4

12 - 4 = 8

Therefore, the woman bought 2 items.

3 0

3 years ago