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3 years ago

Please help with these 2 questions I’m so close to getting this done!

Mathematics

1 answer:

ohaa [14]3 years ago

6 0

Step-by-step explanation:

11) A

The ratio of texts sent to calls made was 8:5.

12)

Noah 4 scoops of powder with 6 cups of water

4/6*100%=66.67%

Andre mixes 5 scoops of powder with 8 cups of water.

5/8*100%=62.5%

it can be seen that Noah's mixture have a stronger orange taste with a concentration of 66.67% while andre's mixture has a concentration of 62.5%.

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If the perimeter of a rectangular property is 46 meters, and the area of the property is 76 meters squared, what is the length o

kupik [55]

This needs to be found by substitution and then by factoring. First we know that, using the perimeter formula for a rectangle, the perimeter is 46=2L+2W and the area is 76=L*W. We need to solve for one of those variables cuz we have too many unknowns right now. Let's solve the perimeter formula for L: 46=2L+2W, 2L=46-2W and L=23-W. Now that we have a value for L in terms of W, sub that L value in to the area formula to solve for W: 76=L*W, 76=(23-W), 76=23W-W^2, and W^2-23W+76=0. We have to factor that now to solve for the 2 values of W. When we factor that, we get that W=19 and W=4. Let's first try out the W value of 19 in our L substitution formula: L=23-W so L=23-19 and L=4. That means that we have a Width of 19 and a Length of 4. Trying out the other W of 4 we get L=23-W so L=23-4 and L=19. That gives us a Width of 4 and a Length of 19. In both cases we have a combination of 4 and 19. So whether we say that the length is shorter than the width or that the width is shorter than the length doesn't matter because we only have 2 values for both and they want the shorter of the 2 sides in number not definition. In other words they don't want you to decide if width is shorter or longer than length, they only want the number value for the shorter side which is 4. That's your answer: 4

7 0

3 years ago

1 What is 20% of 60?

Contact [7]

Answer:

Step-by-step explanation:

%20 is 1/5

60/5=12

12*5=60

3 0

3 years ago

Read 2 more answers

Find $\int \dfrac{x}{\sqrt{1-x^4}}$ Please, help

ki77a [65]

If you're using the app, try seeing this answer through your browser: brainly.com/question/2867785

_______________

Evaluate the indefinite integral:

$\mathsf{\displaystyle\int\! \frac{x}{\sqrt{1-x^4}}\,dx}\\\\\\ \mathsf{=\displaystyle\int\! \frac{1}{2}\cdot 2\cdot \frac{1}{\sqrt{1-(x^2)^2}}\,dx}\\\\\\ \mathsf{=\displaystyle \frac{1}{2}\int\! \frac{1}{\sqrt{1-(x^2)^2}}\cdot 2x\,dx\qquad\quad(i)}$

Make a trigonometric substitution:

$\begin{array}{lcl}
\mathsf{x^2=sin\,t}&\quad\Rightarrow\quad&\mathsf{2x\,dx=cos\,t\,dt}\\\\
&&\mathsf{t=arcsin(x^2)\,,\qquad 0\ \textless \ x\ \textless \ \frac{\pi}{2}}\end{array}$

so the integral (i) becomes

$\mathsf{=\displaystyle\frac{1}{2}\int\!\frac{1}{\sqrt{1-sin^2\,t}}\cdot cos\,t\,dt\qquad\quad (but~1-sin^2\,t=cos^2\,t)}\\\\\\
\mathsf{=\displaystyle\frac{1}{2}\int\!\frac{1}{\sqrt{cos^2\,t}}\cdot cos\,t\,dt}$

$\mathsf{=\displaystyle\frac{1}{2}\int\!\frac{1}{cos\,t}\cdot cos\,t\,dt}\\\\\\
\mathsf{=\displaystyle\frac{1}{2}\int\!\f dt}\\\\\\
\mathsf{=\displaystyle\frac{1}{2}\,t+C}$

Now, substitute back for t = arcsin(x²), and you finally get the result:

$\mathsf{\displaystyle\int\! \frac{x}{\sqrt{1-(x^2)^2}}\,dx=\frac{1}{2}\,arcsin(x^2)+C}$ ✔

________

You could also make

x² = cos t

and you would get this expression for the integral:

$\mathsf{\displaystyle\int\! \frac{x}{\sqrt{1-(x^2)^2}}\,dx=-\,\frac{1}{2}\,arccos(x^2)+C_2}$ ✔

which is fine, because those two functions have the same derivative, as the difference between them is a constant:

$\mathsf{\dfrac{1}{2}\,arcsin(x^2)-\left(-\dfrac{1}{2}\,arccos(x^2)\right)}\\\\\\
=\mathsf{\dfrac{1}{2}\,arcsin(x^2)+\dfrac{1}{2}\,arccos(x^2)}\\\\\\
=\mathsf{\dfrac{1}{2}\cdot \left[\,arcsin(x^2)+arccos(x^2)\right]}\\\\\\
=\mathsf{\dfrac{1}{2}\cdot \dfrac{\pi}{2}}$

$\mathsf{=\dfrac{\pi}{4}}$ ✔

and that constant does not interfer in the differentiation process, because the derivative of a constant is zero.

I hope this helps. =)

6 0

3 years ago

How does the graph of f(x) = (x − 1)2 relate to the basic function f(x) = x2?

Nadya [2.5K]

Answer:

Both functions are multiplied by 2.

Step-by-step explanation:

6 0

3 years ago

I NEED THIS ANSWERED ASAP PLEASE HELP!!! select the correct answer for points

krek1111 [17]

Answer:

C. 120°

Step-by-step explanation:

length of arc = 4π cm

r = 6 cm

central angle = s/r

=> central angle = 4π/6

=> central angle = 2π/3 radians

In degrees,

central angle = (2π/3)(180/π) = 120°

hope this helps and is right. p.s i really need brainliest :)

5 0

3 years ago