If humans started burning half as many fossil fuels as we did in 2004, what might the graph look like?

One way to divide decimal numbers is to use an equivalent expression.

Umnica [9.8K]

Answer:

Step-by-step explanation:

To determine how much a decimal was multiplied, you need to find how many places the decimal moved.

In this case we can see the decimal moved once. How many times the decimal moved can be represented by the zeros in the number. So 10 = 1

100 = 2 1,000 = 3 and it keeps going.

So since the decimal moved 1 time, the answer to question one is 10

Now question 2.

Both 8.4 ÷ 2.1 and 84 ÷ 21 will give the exact same answer. It is just easier to solve. So solve which one is easier for you. I did 84 ÷ 21.

84 ÷ 21 = 4

We can verify our answer by multiplying the the divisor by the quotient

21 * 4 = 84

So 4 is the answer to question 2

6 0

3 years ago

The population of a small town in central Florida has shown a linear decline in the years 2005-2013. In 2005 the population was

n200080 [17]

Answer:

Step-by-step explanation:

the population 761.B

5 0

3 years ago

Find integra of xlnxdx

Mademuasel [1]

Answer:

$\dfrac{1}{2}x^2\ln x - \dfrac{1}{4}x^2+\text{C}$

Step-by-step explanation:

<u>Fundamental Theorem of Calculus</u>

$\displaystyle \int \text{f}(x)\:\text{d}x=\text{F}(x)+\text{C} \iff \text{f}(x)=\dfrac{\text{d}}{\text{d}x}(\text{F}(x))$

If differentiating takes you from one function to another, then integrating the second function will take you back to the first with a <u>constant of integration</u>.

$\boxed{\begin{minipage}{4 cm}\underline{Integrating $x^n$}\\\\$\displaystyle \int x^n\:\text{d}x=\dfrac{x^{n+1}}{n+1}+\text{C}$\end{minipage}}$

Increase the power by 1, then divide by the new power.

Given <u>indefinite integral</u>:

$\displaystyle \int x \ln x \:\: \text{d}x$

To integrate the given integral, use Integration by Parts:

$\boxed{\begin{minipage}{5 cm}\underline{Integration by parts} \\\\$\displaystyle \int u \dfrac{\text{d}v}{\text{d}x}\:\text{d}x=uv-\int v\: \dfrac{\text{d}u}{\text{d}x}\:\text{d}x$ \\ \end{minipage}}$

$\text{Let }u=\ln x \implies \dfrac{\text{d}u}{\text{d}x}=\dfrac{1}{x}$

$\text{Let }\dfrac{\text{d}v}{\text{d}x}=x \implies v=\dfrac{1}{2}x^2$

Therefore:

$\begin{aligned}\displaystyle \int u \dfrac{dv}{dx}\:dx & =uv-\int v\: \dfrac{du}{dx}\:dx\\\\\implies \displaystyle \int x \ln x\:\:\text{d}x & = \ln x \cdot \dfrac{1}{2}x^2-\int \dfrac{1}{2}x^2 \cdot \dfrac{1}{x}\:\:dx\\\\& = \dfrac{1}{2}x^2\ln x -\int \dfrac{1}{2}x\:\:dx\\\\& = \dfrac{1}{2}x^2\ln x - \dfrac{1}{4}x^2+\text{C}\end{aligned}$

Learn more about integration here:

brainly.com/question/27805589

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5 0

2 years ago

I NEED THE ANSWER RIGHT NOW PLEASE!!!

strojnjashka [21]

Answer:

Second : 1/6 x + 47

Third : 1 2/3 x + 35 - 1 1/2 x + 12

Fourth : 5 (1/3x) + (5) (7) - (3) (1/2x) + (3) (4)

Step-by-step explanation:

I would start by expanding the expression, showing each step. Then, simplify by collecting like terms.

To expand, you multiply the term outside of the brackets by each term inside the brackets.

5(1/3x + 7) - 3(1/2x - 4)

= 5(1/3x) + (5)(7) - (3)(1/2x) + (3)(4) Showing how to expand

= 5/3x + 35 - 3/2x + 12 Simplified above step by multiplying

= 5/3x - 3/2x + 47 Collected like terms (35 + 12 = 47)

= 10/6x - 9/6x + 47 Change fractions to the common denominator 6

= $\frac{10-9}{6}x$ + 47 Combine fractions with common denominator

= 1/6x + 47 Fully expanded

See which options match the steps I took to expand the original expression.

The second step is the same as option 4.

The last step is the same as option 2.

I bolded those steps that are the same.

Some options use mixed fractions (whole numbers and fractions).

From the third step, I will convert the improper fractions to mixed fractions.

5/3x + 35 - 3/2x + 12

= 1 2/3x + 35 - 1 1/2x + 12

This is the same as option 3.

$\frac{5}{3}x = 1\frac{2}{3}x$ On the left side, 5 goes into 3 ONE time. The ONE becomes the whole number. After 5 goes into 3, there is 2 left, which becomes the numerator.

$\frac{3}{2}x = 1\frac{1}{2}x$ On the left side, 3 goes into 2 ONE time. The ONE becomes the whole number. The remainder is 1, which becomes the numerator.

6 0

3 years ago

Read 2 more answers

A bag contains 10 marbles: 3 are green, 2 are red, and 5 are blue. Jose chooses a marble at random, and without putting it back,

Ludmilka [50]

We know that
g=3
r=2
b=5
total marbies=g+r+b------> 3+2+5----> 10

a) <span>probability that the first marble is red
P(red)=r/total marbies------------> 2/10-----> 1/5

b) </span><span>probability that the second marble is blue
in this case total marbles-------> 9
P(blue)=b/total marbles----------> 5/9

c) </span><span>the probability that the first marble is red and the second is blue
(1/5)*(5/9)=1/9

the answer is
1/9</span>

6 0

3 years ago