All categories

3 years ago

Complete each of the ratios on the table show calculations

Mathematics

1 answer:

arsen [322]3 years ago

4 0

Answer:

From left to right:

2, 4, 32

Step-by-step explanation:

Using the one column which is completed, determine the ratio of yellow to blue by reducing to lowest terms.

yellow to blue = 8 to 16

8 and 16 are both divisible by 8. 8/8 = 1 and 16/8 = 2

8 to 16 = 1 to 2

This means there is half as much yellow paint as there is blue paint. If said backwards, there is double the amount of blue paint as there is yellow paint.

In the first two columns, yellow paint is blue paint divided by 2.

4/2 = 2

8/2 = 4

In the last column, blue paint is yellow paint times 2.

16 X 2= 32

All of the ratios yellow to blue are:

2 to 4

4 to 8

8 to 16

16 to 32

You might be interested in

The vertex of a function is (-3, 0) and is a minimum. What is the axis of symmetry and how is it determined?

nalin [4]

The axis of symmetry would be -3 because it is always the (x) of the vertex

5 0

2 years ago

Multiply or divide as indicated 10x^5/2x^2

shepuryov [24]

To perform the following operation, make sure to do the division parts separately and place them back together in the final answer.

10/2 and x^5/x^2

5 and using the exponential laws of division X ^m/X^n = X ^ m-n

The second part evaluates to X^3.

Putting the terms together we get the final answer, which is 5x^3.

3 0

2 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:

Fundamental Theorem of Calculus

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

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

$\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 indefinite integral:

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

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

brainly.com/question/27983581

brainly.com/question/27759474

5 0

1 year ago

Factor the expression using the GCF. 60 – 36 =

Ivanshal [37]

Answer

12 (5 - 3)

Step-by-step explanation:

The greatest common factor is the largest number that will divide both numbers evenly. As an example, 6 is a common factor because it divides both 60 and 36. However, it is not the greatest common factor.

If I break 60 into it's prime factors, I would get 2 * 2 * 3 * 5.

If I break 36 into it's prime factors, I would get 2 * 2 * 3 * 3.

The two number have the factors, 2, 2, and 3 in common.

The greatest common factor is then: 2 * 2 * 3, or 12.

The expression can be factored as: 12 ( 5 - 3)

6 0

3 years ago

What is the distance between the points (2, 4) and (7, 16)? 13 15.4 16 24

Veronika [31]

If you do the distance formula you get 13 as the answer.

3 0

2 years ago