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andrey2020 [161]
3 years ago
7

una botella de agua con capacidad de 1 ½ contiene agua en sus ¾ partes ¿cuanta cantidad de agua contiene?

Mathematics
2 answers:
Ne4ueva [31]3 years ago
8 0
La cuatra botella de agua
harkovskaia [24]3 years ago
7 0
0.75 es la respuesta yo ya tenia esta respuesta
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Consider the curve defined by the equation y=6x2+14x. Set up an integral that represents the length of curve from the point (−2,
torisob [31]

Answer:

32.66 units

Step-by-step explanation:

We are given that

y=6x^2+14x

Point A=(-2,-4) and point B=(1,20)

Differentiate w.r. t x

\frac{dy}{dx}=12x+14

We know that length of curve

s=\int_{a}^{b}\sqrt{1+(\frac{dy}{dx})^2}dx

We have a=-2 and b=1

Using the formula

Length of curve=s=\int_{-2}^{1}\sqrt{1+(12x+14)^2}dx

Using substitution method

Substitute t=12x+14

Differentiate w.r t. x

dt=12dx

dx=\frac{1}{12}dt

Length of curve=s=\frac{1}{12}\int_{-2}^{1}\sqrt{1+t^2}dt

We know that

\sqrt{x^2+a^2}dx=\frac{x\sqrt {x^2+a^2}}{2}+\frac{1}{2}\ln(x+\sqrt {x^2+a^2})+C

By using the formula

Length of curve=s=\frac{1}{12}[\frac{t}{2}\sqrt{1+t^2}+\frac{1}{2}ln(t+\sqrt{1+t^2})]^{1}_{-2}

Length of curve=s=\frac{1}{12}[\frac{12x+14}{2}\sqrt{1+(12x+14)^2}+\frac{1}{2}ln(12x+14+\sqrt{1+(12x+14)^2})]^{1}_{-2}

Length of curve=s=\frac{1}{12}(\frac{(12+14)\sqrt{1+(26)^2}}{2}+\frac{1}{2}ln(26+\sqrt{1+(26)^2})-\frac{12(-2)+14}{2}\sqrt{1+(-10)^2}-\frac{1}{2}ln(-10+\sqrt{1+(-10)^2})

Length of curve=s=\frac{1}{12}(13\sqrt{677}+\frac{1}{2}ln(26+\sqrt{677})+5\sqrt{101}-\frac{1}{2}ln(-10+\sqrt{101})

Length of curve=s=32.66

5 0
3 years ago
Question 9
kiruha [24]

The slope of the linear equation is 20 and the y-intercept is 150

<h3>What is a Slope?</h3>

Slope measures how steep a straight line is. It is described as rise over run.

The slope of the linear equation can be found as follows;

He opens the account with $150 and he plans to save $20 each week. Therefore,

let

x = number of weeks

Therefore,

  • y = 20x + 150

where

y = amount in his account after x number of weeks.

Using the slope intercept equation,

<h3>Slope intercept equation:</h3>
  • y =mx + c

where

m = slope

c = y-intercept

Therefore, the slope of the linear equation is 20 and the y-intercept is 150

learn more on slope here: brainly.com/question/8057577

7 0
2 years ago
I Need Help In #1-5
Citrus2011 [14]
If you are having trouble with ratios you can look at them as fractions. The first number being the numerator and the second number being the denominator or the other way around. When you are asked to find an equivalent ratio, you just have to find an equivalent fraction. 
7 0
3 years ago
List all rational roots that are possible according to the rational zero theorem. x^3-5x^2-9x+45=0
Lina20 [59]

-3, 3, 5.

https://www.wolframalpha.com/input/?i=%28x%5E3%29-%285x%5E2%29-9x%2B45%3D0

8 0
3 years ago
Any1 know the answer?
user100 [1]
<h2 /><h2 /><h2>Question</h2>

6.A small ball is dropped from a tall building.which equation could present the ball's height, <em>h</em>, in feet, relative to the ground, as a function of time, <em>t</em><em>,</em>in seconds

✒ Answer

a.h = 100 - 16t

6 0
2 years ago
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