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3 years ago

Can somebody help me? I’m already failing :(

Mathematics

1 answer:

Yuliya22 [10]3 years ago

5 0

Answer:

125

Step-by-step explanation:

f(1)= the first time (32,000)

n= 9

r= .5 (each term is being mulitplied by .5 to get the next one

We have

32,000*(.5)^(9-1)

32,000*(.5)^8

=125

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A motorboat takes 5 hours to travel 200 miles going upstream. The return trip takes 4 hours going downstream. What is the rate o

dsp73

Answer:

rate of motorboat: b

rate of current: c

So the rate the boat travels upstream is $b - c$, and the rate it travels downstream is $b + c$

Step-by-step explanation:

d = rt

200 = (b - c)\cdot 5

200 = (b + c)\cdot 4

b - c = 40

b + c = 50

Adding these equations, we get:

2b = 90

b = 45

c = 50 - 45 = 5

<u>Therefore the rate of the boat is 45kph, and the rate of the current is 5kph</u>

Hope this helps :)

4 0

3 years ago

the width of a rectangle is 7 meters greater than its length.If the area of the rectangle is 170 square meters, write the quadra

Anika [276]

Answer:

$x^2+7x-170 = 0$

Step-by-step explanation:

To calculate an area of a rectangle, use the formula A=l*w. We know the width is 7m greater than the length. So w = 7 + x. So the area is A= (7+x)*x.

We also know the area is 170. Substitute this value for A and solve.

$170 = (7+x)(x)\\170 = 7x+x^2\\x^2+7x-170 = 0$

4 0

3 years ago

What is the binomial expansion of (x+1)^8

solmaris [256]

The answer is in the photo

5 0

3 years ago

To mix plaster for a dental model, 35 mL of water is used for 100g of plaster. How many mL of water should be used for 250g of p

laila [671]

Okay, here we have this:

Considering the provided information, we are going to calculate the requested value, so we obtain the following rule of three:

$\begin{gathered} \frac{x}{35mL\text{ of water}}=\frac{250g\text{ of plaster}}{100g\text{ of plaster}} \\ x=\frac{250g\text{ of plaster}}{100g\text{ of plaster}}\cdot35mL\text{ of water} \end{gathered}$

Solving for x:

$\begin{gathered} x=2.5\cdot35mL\text{ of water} \\ x=87.5mL\text{ of water} \end{gathered}$

Finally we obtain that 87.5mL of water should be used for 250g of plaster.

3 0

1 year ago

Which choice is equivalent to the fraction below?

yawa3891 [41]

Answer:

I think A

Step-by-step explanation:

But im not sure

6 0

3 years ago