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3 years ago

Can somebody please help me, this is due in 20 minutes

Mathematics

1 answer:

Alex73 [517]3 years ago

6 0

Answer:

61°

Step-by-step explanation:

In order for triangle LMN and PQR to be congruent, angle M and angle Q must equal. thus, we can set 2x-26=x+16

with basic algebraic manipulation, x=42. we then plug it back into the angle M or Q, getting angle M/Q= 58°

since this is a isoceles, the 2 base angle are identical, so 180= 58+2(angle P)

thus, angle P= 61

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If the mass of a proton is 2.34 × 10–14 grams, what is the mass of 1,000 protons?

Alex17521 [72]

Masse of 1 proton: = 2.34 x 10⁻¹⁴

masse of 1000 protons = 2.34 x 10⁻¹⁴ x 1000 or 2.34 x 10 ⁻¹⁴ x 10³ =2.34 x 10⁻¹¹

8 0

3 years ago

Remember to round to the nearest tenth pls!

Lapatulllka [165]

Step-by-step explanation:

Using Pythagorus theorem:

$r = \sqrt{ {( - 6)}^{2} + {5}^{2} } = \sqrt{61}$

Therefore,

$diameter \: = 2 \sqrt{61} = 15.62$

3 0

4 years ago

Which graph represents the function f(x)= 0.2^x + 3

Dennis_Churaev [7]

The third graph or bottom left graph represents $f(x) = 0.2^{x} + 3.$

Step-by-step explanation:

Step 1:

To determine which of the given graphs represents the equation $f(x) = 0.2^{x} + 3$ , we substitute some values in the place of x.

When $x=0,$ $f(x) = 0.2^{x} + 3, f(0) = 0.2^{0} + 3= 4.$

Anything with an exponent of 0 will equal 1.

So the graphs on the right side cannot be the answers.

Step 2:

Now we substitute another value to determine which graph represents $f(x) = 0.2^{x} + 3.$

When $x=1,$ $f(x) = 0.2^{x} + 3, f(1) = 0.2^{1} + 3= 4.2.$

The value of f(x) when $x=1$ is lesser than the value of f(x) when $x =0.$

So the third graph or bottom left graph represents $f(x) = 0.2^{x} + 3.$

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:

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:

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5 0

2 years ago

If a system of linear equations has no solution, then

Natali5045456 [20]

Answer:

If a system of linear equations has no solution,then it is said to be inconsistent.The graphs of the lines do not intersect,and therefore the graphs are parallel and there is no solution.

Step-by-step explanation:

If a system of linear equations has no solution,then it is said to be inconsistent.The graphs of the lines do not intersect,and therefore the graphs are parallel and there is no solution.

5 0

3 years ago

Read 2 more answers

Can somebody please help me, this is due in 20 minutes​

Can somebody please help me, this is due in 20 minutes