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1 year ago

8

1 What is the absolute value of 0?

2 answers:

Eva8 [605]1 year ago

7 0

Answer:

0

Step-by-step explanation:

Absolute value is basically just the positive value of a number.

Evgesh-ka [11]1 year ago

7 0

Answer: Hello: )✨ its 0

Step-by-step explanation:

The absolute value of 0 is 0. (This is why we don't say that the absolute value of a number is positive. Zero is neither negative nor positive.)

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Find the length of the following two-dimensional curve. r (t ) = (1/2 t^2, 1/3(2t+1)^3/2) for 0 < t < 16

andrezito [222]

Answer:

r = 144 units

Step-by-step explanation:

The given curve corresponds to a parametric function in which the Cartesian coordinates are written in terms of a parameter "t". In that sense, any change in x can also change in y owing to this direct relationship with "t". To find the length of the curve is useful the following expression;

$r(t)=\int\limits^a_b ({r`)^2 \, dt =\int\limits^b_a \sqrt{((\frac{dx}{dt} )^2 +\frac{dy}{dt} )^2)} dt$

In agreement with the given data from the exercise, the length of the curve is found in between two points, namely 0 < t < 16. In that case a=0 and b=16. The concept of the integral involves the sum of different areas at between the interval points, although this technique is powerful, it would be more convenient to use the integral notation written above.

Substituting the terms of the equation and the derivative of r´, as follows,

$r(t)= \int\limits^b_a \sqrt{((\frac{d((1/2)t^2)}{dt} )^2 +\frac{d((1/3)(2t+1)^{3/2})}{dt} )^2)} dt$

Doing the operations inside of the brackets the derivatives are:

1 ) $(\frac{d((1/2)t^2)}{dt} )^2= t^2$

2) $\frac{(d(1/3)(2t+1)^{3/2})}{dt} )^2=2t+1$

Entering these values of the integral is

$r(t)= \int\limits^{16}_{0} \sqrt{t^2 +2t+1} dt$

It is possible to factorize the quadratic function and the integral can reduced as,

$r(t)= \int\limits^{16}_{0} (t+1) dt= \frac{t^2}{2} + t$

Thus, evaluate from 0 to 16

$\frac{16^2}{2} + 16$

The value is $r= 144 units$

5 0

3 years ago

Find x<br> 5[x^2]+5[x]-x^2-x=2004

a_sh-v [17]

The answer is either $x=\frac{-1}{2}+\frac{1}{2}\sqrt{2005}\\$ or $x=\frac{-1}{2}+\frac{-1}{2}\sqrt{2005}$

To solve: Let's solve your equation step-by-step.

5x2+5x−x2−x=2004

Step 1: Simplify both sides of the equation.

4x2+4x=2004

Step 2: Subtract 2004 from both sides.

4x2+4x−2004=2004−2004

4x2+4x−2004=0

Step 3: Use quadratic formula with a=4, b=4, c=-2004.

x= −b±√b2−4ac /2a

x= −4±√32080 /8

$x=\frac{-1}{2}+\frac{1}{2}\sqrt{2005}\\$ or $x=\frac{-1}{2}+\frac{-1}{2}\sqrt{2005}$

4 0

2 years ago

Read 2 more answers

La probabilidad de que julio salga con carla es 0.75 , y la probabilidad de que salga con marisol es de 0.50. Si la probabilidad

Solnce55 [7]

Answer:

1111

Step-by-step explanation:

11111111111

7 0

2 years ago

Which linear inequality is represented by the graph?

aalyn [17]

Answer:

y ≤ 1/3 x - 1.3.

Step-by-step explanation:

First find the equation of the line:

The slope = (-0.3 - (-1.3) / (3 - 0).

= 1/3 so the equation is y = 1/3x + b where b is a constant.

b is the y-intercept which is the value of y when x = 0 . We see that it is -1.3 ( from the point 0, -1.3).

Since the line is continuous and the shading is below this line the inequality sign is 'less than or equal to', ≤.

8 0

3 years ago

Read 2 more answers

a recent survey found that 40% of high school students exercise regularly. If you choose 5 students at random, what is the proba

enyata [817]

Answer:

0.05

Step-by-step explanation:

We can correctly state that the total sample space= 100 students

40% of 100 students exercise regularly

The probability that 5 students

Picked at random exercise regularly is

Pr(5) = 5/100= 1/20

Pr(5)= 0.05

4 0

3 years ago