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3 years ago

Use rounding to estimate

Mathematics

2 answers:

poizon [28]3 years ago

7 0

3. my answer I got was 6.53. I think it rounds to 7

Artyom0805 [142]3 years ago

6 0

First use addition, add everything up so...
First question is asking: 2.57+0.14= 2.71. To round it, see the 7, is it greater than 5? If yes then the 2 will be change to 3. So it's 3 as your answer.

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What is the value of e to five decimal places

notsponge [240]

Using google calculator you can see that

e≈2.7 1 8 2 8 182846.....

Fifth decimal place is bold 8.

When we round up to 5th decimal place, we get

e≈2.7 1 8 2 8.

5 0

3 years ago

4x^2 y+8xy'+y=x, y(1)= 9, y'(1)=25

jarptica [38.1K]

Answer with explanation:

$\rightarrow 4x^2y+8x y'+y=x\\\\\rightarrow 8xy'+y(1+4x^2)=x\\\\\rightarrow y'+y\times\frac{1+4x^2}{8x}=\frac{1}{8}$

--------------------------------------------------------Dividing both sides by 8 x

This Integration is of the form ⇒y'+p y=q,which is Linear differential equation.

Integrating Factor

$=e^{\int \frac{1+4x^2}{8x} dx}\\\\e^{\log x^{\frac{1}{8}+\frac{x^2}{2}}\\\\=x^{\frac{1}{8}}\times e^{\frac{x^2}{2}}$

Multiplying both sides by Integrating Factor

$x^{\frac{1}{8}}\times e^{\frac{x^2}{2}}\times [y'+y\times\frac{1+4x^2}{8x}]=\frac{1}{8}\times x^{\frac{1}{8}}\times e^{\frac{x^2}{2}}\\\\ \text{Integrating both sides}\\\\y\times x^{\frac{1}{8}}\times e^{\frac{x^2}{2}}=\frac{1}{8}\int {x^{\frac{1}{8}}\times e^{\frac{x^2}{2}}} \, dx \\\\8y\times x^{\frac{1}{8}}\times e^{\frac{x^2}{2}}=\int {x^{\frac{1}{8}}\times e^{\frac{x^2}{2}}} \, dx\\\\8y\times x^{\frac{1}{8}}\times e^{\frac{x^2}{2}}=-[x^{\frac{9}{8}}]\times\frac{ \Gamma(0.5625, -x^2)}{(-x^2)^{\frac{9}{16}}}\\\\8y\times x^{\frac{1}{8}}\times e^{\frac{x^2}{2}}=(-1)^{\frac{-1}{8}}[ \Gamma(0.5625, -x^2)]+C-----(1)$

When , x=1, gives , y=9.

Evaluate the value of C and substitute in the equation 1.

6 0

3 years ago

The temperature of the sun is 27 million degrees Fahrenheit. Use scientific notation to express the temperature.

Ipatiy [6.2K]

Answer:

Step-by-step explanation:

We know million has 6 zeros.

So, 1 million would be written as:

1,000,000

Similarly, 27 million would be written as:

27,000,000

We know writing a number in scientific notation would make this a decimal in 1 decimal place, so we would select "2.7" as the base of the scientific number.

Now, how many places to the right do we need to go (in 2.7) to make it 27,000,000?

Counting, we see: 7 places

So, power of 10 would be "7", thus we can write:

$2.7*10^7$

Answer choice A is right

3 0

3 years ago

Read 2 more answers

What is the last one number 12

rosijanka [135]

What is the last one number 12

8 0

3 years ago

Which is the solution set of 7y +1> 8y- 9?

fomenos

Answer:

y < 10 or (10, -∞)

Step-by-step explanation:

7y + 1 > 8y - 9

Simply get the y's on the right by subtracting 7y from both sides:

1 > y - 9

then adding 9 to both sides:

y < 10

or in interval notation:

(10, -∞)

7 0

3 years ago