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3 years ago

Write seventy-six-thousandths as a decimal

Mathematics

2 answers:

IrinaVladis [17]3 years ago

8 0

Answer: 0.076

Step-by-step explanation:

A thousandth has 3 decimal points, so 76 thousandths would be 0.076.

velikii [3]3 years ago

7 0

Answer:

0.067

Step-by-step explanation:

it ends with the thousandths decimal place aka the one 3 "hops" away from the dot/decimal

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Use integration by parts to find the integrals in Exercise.<br> ∫^3_0 3-x/3e^x dx.

Viefleur [7K]

Answer:

8.733046.

Step-by-step explanation:

We have been given a definite integral $\int _0^3\:3-\frac{x}{3e^x}dx$ . We are asked to find the value of the given integral using integration by parts.

Using sum rule of integrals, we will get:

$\int _0^3\:3dx-\int _0^3\frac{x}{3e^x}dx$

We will use Integration by parts formula to solve our given problem.

$\int\ vdv=uv-\int\ vdu$

Let $u=x$ and $v'=\frac{1}{e^x}$ .

Now, we need to find du and v using these values as shown below:

$\frac{du}{dx}=\frac{d}{dx}(x)$

$\frac{du}{dx}=1$

$du=1dx$

$du=dx$

$v'=\frac{1}{e^x}$

$v=-\frac{1}{e^x}$

Substituting our given values in integration by parts formula, we will get:

$\frac{1}{3}\int _0^3\frac{x}{e^x}dx=\frac{1}{3}(x*(-\frac{1}{e^x})-\int _0^3(-\frac{1}{e^x})dx)$

$\frac{1}{3}\int _0^3\frac{x}{e^x}dx=\frac{1}{3}(-\frac{x}{e^x}- (\frac{1}{e^x}))$

$\int _0^3\:3dx-\int _0^3\frac{x}{3e^x}dx=3x-\frac{1}{3}(-\frac{x}{e^x}- (\frac{1}{e^x}))$

Compute the boundaries:

$3(3)-\frac{1}{3}(-\frac{3}{e^3}- (\frac{1}{e^3}))=9+\frac{4}{3e^3}=9.06638$

$3(0)-\frac{1}{3}(-\frac{0}{e^0}- (\frac{1}{e^0}))=0-(-\frac{1}{3})=\frac{1}{3}$

$9.06638-\frac{1}{3}=8.733046$

Therefore, the value of the given integral would be 8.733046.

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3 years ago

How many triangles exist with the given side lengths? 3 cm, 5 cm, 9 cm A. Exactly one unique triangle exists with the given side

sattari [20]

Answer:c is the correct ans

Step-by-step explanation:

Feel pleasure to help u

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3 years ago

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Ashton used 12.6 gallons of gasoline to drive his car on a weekend trip. he averaged 21.5 miles per gallon. about how many miles

7nadin3 [17]

Answer: 270.9 miles.

Step-by-step explanation:

The formula we use here is :

$\text{Distance=Speed * Number of gallons of gasoline}$

Given : Ashton used 12.6 gallons of gasoline to drive his car on a weekend trip. he averaged 21.5 miles per gallon.

Then $\text{Distance traveled }=12.6\times21.5=270.9\text{ miles}$

Hence, he traveled 270.9 miles.

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