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3 years ago

A explanation would help very much

Mathematics

1 answer:

Leni [432]3 years ago

4 0

Answer:

x = 14

y = 40

Step-by-step explanation:

3y+8 = 128

3y = 120

y = 40

45/20=2.25 (scale factor)

5x-25 = 2.25(2x-8)

5x-25 = 4.5x - 18

.5x = 7

x=14

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Use the properties of logarithms to expand the expression as a sum or difference, and/or constant multiple of logarithms. (Assum

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Answer:

$\log_5(9)+\frac{1}{2}\log_5(x)-3\log_5(y)$

Step-by-step explanation:

$\log_5(\frac{9\sqrt{x}}{y^3})$

First rule I'm going to use is the quotient rule:

$\log_b(\frac{m}{n})=\log_b(m)-\log_b(n)$

$\log_5(9\sqrt{x})-\log_5(y^3)$

Secondly, I'm going to rewrite the radical.

$\sqrt{x}=x^\frac{1}{2}$

$\log_5(9x^\frac{1}{2})-\log_5(y^3)$

Third, I'm going to use the product rule on the first term:

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$\log_5(9)+\log_5(x^\frac{1}{2})-\log_5(y^3)$

Fourth, I'm going to use power rule for both of the last two terms:

$\log_b(m^r)=r\log_b(m)$

$\log_5(9)+\frac{1}{2}\log_5(x)-3\log_5(y)$

6 0

2 years ago

Calculate the force exerted on the blown dart. A dart weighing 0.0056kg is blown and travels 4.85m. The change in velocity for t

dlinn [17]

Answer:

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Step-by-step explanation:

Given data

Mass= 0.0056kg

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substitute

F= 0.0056* 11.4^2/4.85

F= 0.0056*129.96/4.85

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DochEvi [55]

Answer:

y=1/5x-31/5 (or y=0.2x-6.2 in decimals)

Step-by-step explanation:

x=5y-8 (original equation)

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1/5x+8/5=y (Division Property of Equality, slope of original equation is 1/5)

y-y1=m(x-x1) (point-slope formula)

y-(-5))=1/5(x-(6)) (plug in the slope that was found earlier and the point given in the question)

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5 0

2 years ago

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Nina [5.8K]

Answer:

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Step-by-step explanation:

Every product with non-zero factors can be written as an equivalent division relation.

a·b = c ⇒ a = c/b

Here, we have 35.8 × 4.23 = 151.434. This can be written as the equivalent ...

4.23 = 151.434/35.8

We can multiply this by 100 to get a division relation with a quotient of 423:

423 = 15143.4/35.8

If we want, we can move the decimal points another place to the right to get ...

151434/358 = 423

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2 years ago