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3 years ago

8(8-6v) is equaled to

Mathematics

1 answer:

horsena [70]3 years ago

6 0

8(8-6v)= using the distributive property

8*8 = 64

8*6v = 48v

8(8-6v) = 64-48v

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Write the first five terms of the geometric sequence in which a1=8 and the common ratio is -1/2.

Oliga [24]

Answer:

First five terms are:

8 , (-4) , 2 , (-1) , (1/2)

Step-by-step explanation:

$a_{1}=8 \\\\r = \frac{-1}{2}\\\\a_{2}=\frac{-1}{2}*a_{1}= \frac{-1}{2}*8= -4\\\\a_{3}=\frac{-1}{2}*a_{2}=\frac{-1}{2}*-4=2\\\\a_{4}=\frac{-1}{2}*a_{3}=\frac{-1}{2}*2=-1\\\\a_{5}=\frac{-1}{2}*a_{4}=\frac{-1}{2}*-1=\frac{1}{2}$

4 0

3 years ago

Ms.Waddell put a 12-inch tall bucket under a leak in her sink. The bucket fills at a constant rate of 1/2 inch in every 1/6 of a

Angelina_Jolie [31]

Answer:

4 hours

Step-by-step explanation:

To solve this question you will simply make a ratio type equation. You know that every 1/6 of an hour, or every 10 minutes, the bucket will fill 1/2 an inch. The bucket is 12 inches tall.

$\frac{10 min}{1/2 inch} = \frac{x min}{12 inches}$

Cross multiply

$120=\frac{1}{2} x$

$x=240 min$

Convert minutes to inches

$\frac{240 min}{1} * \frac{1 hr}{60 min} = 4 hr$

Final answer: 4 hours

Hope this helps!

8 0

3 years ago

Could someone please list all of the basic derivative rules?

olchik [2.2K]

Answer:

The sum rule is f' + g'

The difference rule is f' − g'

The product rule is f g' + f' g

The quotient rule is (f' g − g' f )/g2

5 0

3 years ago

F(x)=2x^2-x+1 find the vertex

Galina-37 [17]

The Answer fam is (1/4,7/8)

5 0

3 years ago

The pollutant PCB (polychlorinated biphenyl) can affect the thickness of pelican eggshells. Thinking of the thickness, T, of the

gayaneshka [121]

Answer:

The expression f(200) depicts the value of the concentration of the pollutant, which when substituted in the expression T = f(P) will give the value of the thickness of the pelican eggs.

Step-by-step explanation:

Since we are given that T = f(P)

Where T = thickness of the eggs

P = concentration in ppm ((parts per million))

Considering f(200) comparing to f(P)

The expression f(200) depicts the value of the concentration of the pollutant, which when substiuted in the expression T = f(P) will give the value of the thickness of the pelican eggs.

i.e substituted the value of the concentration in ppm to get the thickness of the pelican eggs in mm. since the expression shows thickness of pelican eggs as a function of the concentration. for every 200ppm of concentration, the numerical value of the thickness of pelican eggs can be gotten.

6 0

3 years ago