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3 years ago

What is 7,230,000,000 in scientific notation What is 0.0000865 in scientific notation

Mathematics

2 answers:

Gekata [30.6K]3 years ago

7 0

Answer:

7,230,000,000 = 7.23 x 10 to the 9th power. 0.0000865 = 8.65 x 10 to the negative 5th power.

Step-by-step explanation:

kupik [55]3 years ago

4 0

Answer:

7.23 times 10^9 8.65 times 10^-5

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The output y and input x of a device are related by y = x + 1.4x3 . (a) Find the values of the output for steady-state operation

erma4kov [3.2K]

Answer:

a) $y(1) = 2.4$ , $y(2) = 13.2$ , b) $y(x) = 2.4 + 5.2\cdot (x-1)$ , $y(1) = 2.4$ , $y(2) = 7.6$

Step-by-step explanation:

a) The values of the output for steady-state operation are:

$y(1) = 1 + 1.4\cdot (1)^{3}$

$y(1) = 2.4$

$y(2) = 2 + 1.4\cdot (2)^{3}$

$y(2) = 13.2$

b) The formula for linearization is:

$y(x) = y(1) +\frac{dy}{dx}|_{x = 1} \cdot (x-1)$

The first derivative of the formula evaluated at x = 1 is:

$\frac{dy}{dx}|_{x=1} = 1 + 4.2\cdot (1)^{2}$

$\frac{dy}{dx}|_{x=1} = 5.2$

The linearized model is:

$y(x) = 2.4 + 5.2\cdot (x-1)$

The output at x = 2 is presented below:

$y(2) = 2.4 + 5.2\cdot (2-1)$

$y(2) = 7.6$

Linearized model offers reasonable approximations for small intervals.

5 0

3 years ago

A penguin walks 10 feet in 6 seconds. At this speed:

Leya [2.2K]

The penguin will walk 75.15 feet in 45 sec

It will take the penguin 26.95 sec to walk 45 feet

Step-by-step explanation:

Given

Distance = d = 10 feet

Time = t = 6 sec

First of all we have to calculate speed

Let s be the speed, then

$s=\frac{d}{t}\\=\frac{10}{6}\\=1.67\ ft\ per\ sec$

Now,

How far does the penguin walk in 45 seconds?

Here we know the speed and the time

So,

s=1.67 ft per sec

t = 45 sec

So,

$s=\frac{d}{t}\\1.67=\frac{d}{45}\\1.67*45=d\\d=75.15\ feet$

How long does it take the penguin to walk 45 feet?

Here we know

d =45 feet

and

Speed =s =1.67 ft per sec

So,

$s=\frac{d}{t}\\1.67=\frac{45}{t}\\t=\frac{45}{1.67}\\t=26.95\ sec$

The penguin will walk 75.15 feet in 45 sec

It will take the penguin 26.95 sec to walk 45 feet

Keywords: Conversions, Distance

Learn more about speed at:

#LearnwithBrainly

5 0

3 years ago

Read 2 more answers

1” on a map = 50 miles How far is the actual distance if it’s 5” on a map? 150 miles 200 miles 250 miles 300 miles

dmitriy555 [2]

Answer:

250

Step-by-step explanation:

You multiply 1 by 5 to get the 5".

Multiply 50 by 5 (the same number you multiplied the 1 by to get the 5)

50×5=250

7 0

4 years ago

I need help pls What is the value of x?

ValentinkaMS [17]

Answer:

Step-by-step explanation:

the value of x, bring the variable to the left side and bring all the remaining values to the right side

8 0

2 years ago

Original price of a CD is $17.50 discount is 50%

ladessa [460]

Answer:

$8.75

Step-by-step explanation:

To calculate this you could use two methods. The first method is to find out what 10% is and multiply it by 5. The second method is to calculate 50% using the formula.

Method 1:

To work this out you would simply divide 17.50 by 10, which is 1.75. This is because percentages are out of 100 and so by dividing by 10 we are finding out what 10% is. Then you would multiply 1.75 by 5, which is 8.75. Then you would minus 8.75 from 17.50, which is 8.75.

1) Divide 17.50 by 10.

$17.50/10=1.75$

2) Multiply 1.75 by 5.

$1.75*5=8.75$

3) Minus 8.75 from 17.50.

$17.50-8.75=8.75$

4) The new price is $8.75

Method 2:

The formula for percentages is.

$\frac{percentage}{100} * amount$

To work this out you would first divide 50 by 100, which gives you 0.5. Then you would multiply 0.5 by 17.50, which is 8.75. Then you would minus 8.75 from 17.50, which is 8.75.

1) Divide 50 by 100.

$50/100=0.5$

2) Multiply 0.5 by 17.50.

$17.50*0.5=8.75$

3) Minus 8.75 from 17.50.

$17.50-8.75=8.75$

4) The new price is $8.75.

7 0

3 years ago