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3 years ago

What is the product in scientific notation? (2.5 x 10-10)(7 x 10-6)

Mathematics

1 answer:

Stells [14]3 years ago

6 0

9.60 times 10 squared is the answer

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Bill works at a local restaurant earning $300 per week. Today he was told that he will be given a raise of 10%. starting next we

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$330. You can get this by multiplying the current rate by the increase (10%).

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3 years ago

Melissa is saving money to buy a game. So far she has saved $20, which is four-fifths of the total cost of the game. How much do

Elena L [17]

Answer:

Step-by-step explanation:

5 10 15 20 25

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3 years ago

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Find all points having an x-coordinate of 5 whose distance from the point (2, 6) is 5

galina1969 [7]

Answer:

(5,2) and (5,10)

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

$points\ (2,6),(5,y)\\d=5$

substitute in the formula

$5=\sqrt{(y-6)^{2}+(5-2)^{2}}$

solve for y

$5=\sqrt{(y-6)^{2}+(3)^{2}}$

$5=\sqrt{(y-6)^{2}+9}$

square both sides

$25=(y-6)^{2}+9$

$(y-6)^{2}=25-9$

$(y-6)^{2}=16$

square root both sides

$y-6=\pm4$

$y=6\pm4$

$y=6+4=10$

$y=6-4=2$

therefore

The points are

(5,2) and (5,10)

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3 years ago

kelsey drove on a back row for 15 miles from Denton to leak his friend Paul drove 12 miles on the highway from Middleville to li

Sergeu [11.5K]

Answer:

3 miles.

Step-by-step explanation:

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3 years ago

Each side of a square is increasing at a rate of 8 cm/s. At what rate (in cm2/s) is the area of the square increasing when the a

statuscvo [17]

Answer:

Step-by-step explanation:

This is nice and simple. I'm going to walk through it like I do when teaching this concept to my class for the first time. This is a good problem for that.

We are given a square and we are looking for the rate at which the area is increasing when a certain set of specifics are given. That means that the main equation for this problem is the area of a square, which is:

$A=s^2$ where s is a side.

Since we are looking for the rate at which the area is changing, $\frac{dA}{dt}$ , we need to take the derivative of area formula implicitly:

$\frac{dA}{dt}=2s\frac{ds}{dt}$ that means that if $\frac{dA}{dt}$ is our unknown, we need values for everything else. We are given that the initial area for the square is 49. That will help us determine what the "s" in our derivative is. We plug in 49 for A and solve:

$49=s^2$ so

s = 7

We are also given at the start that the sides of this square are increasing at a rate of 8cm/s. That is $\frac{ds}{dt}$ . Filling it all in:

$\frac{dA}{dt}=2(7)(8)$ and

$\frac{dA}{dt}=112\frac{cm^2}{s}$

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3 years ago

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