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3 years ago

6

An inch is approximately 2.54 centimeters. Does the number of inches vary directly or indirectly with the numbers of centimeters

? Explain

1 answer:

AnnZ [28]3 years ago

8 0

Its directly because it is it is hard to expain

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The___of the number -4 and 4 is 4

Illusion [34]

Absolute value hope this helps

3 0

2 years ago

in February Frank spent 49 hours watching Netflix in March he only spent 36.26 hours watching what was the percent decrease in t

Lisa [10]

Answer:

26

Step-by-step explanation:

Okay so first, let's write out an equation:

36.26/49 = x/100

Then, multiply both sides by 100 to get the x isolated.

x = 74

100-74 = 26

So the percent decrease is 26

3 0

3 years ago

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

I have a question on my summer packet. Find 33% of 90

Luda [366]

===========================
$1) \frac{90*33}{100}=29,7$

8 0

3 years ago

Read 2 more answers

Dave wants to buy a bike for $180. He has $40. Dave mows lawns for $10 per lawn.

LenaWriter [7]

Answer:

180 = 40 + 10x

Step-by-step explanation:

5 0

3 years ago