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3 years ago

Which geometric shape can be described as a fixed distance along a line?

1 answer:

3 0

Hey there!

A fixed distance along a line without any 2nd dimension is a line segment. The reason why it's a line <em>segment</em> instead of a line is that lines go on forever in both directions while a line segment stops at some point on both ends. This is what the problems means when it says "fixed distance".

Hope this helped you out! :-)

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The cup was filled at a constant rate. It started empty. After 2 seconds, it held 70 cm^3 of water.

nydimaria [60]

Answer:

About 90%

Step-by-step explanation:

If the cup was filled at a constant rate, then the cup fills at 70/2=35 cubic centimeters per second. The formula for the volume of a cone is $\frac{1}{3} \pi r^2 h$ , or in this case $\frac{112}{3}\pi$ cubic centimeters. After 3 seconds, the cup would have 35*3=105 cubic centimeters of water inside of it, or about 89.52% which rounds to 90%. Hope this helps!

8 0

3 years ago

What is the result when the number 11 is increased by 8.8%?

Dafna1 [17]

Answer:

11.968

Step-by-step explanation:

5 0

3 years ago

Write 1,054 thousand in standard form.

Agata [3.3K]

Answer:

1054

Step-by-step explanation:

1000+50+4

7 0

3 years ago

Find the trigonometric integral. (Use C for the constant of integration.)

Olin [163]

Suppose we let $u=\sin\theta+\cos\theta$ , so that $\mathrm du=(\cos\theta-\sin\theta)\,\mathrm d\theta$ .

Also, recall the double angle identity for cosine:

$\cos(2\theta)=\cos^2\theta-\sin^2\theta=(\cos\theta-\sin\theta)(\cos\theta+\sin\theta)$

So, we can rewrite and compute the integral using the substitution, as

$\displaystyle\int\cos(2\theta)(\sin\theta+\cos\theta)^3\,\mathrm d\theta$

$=\displaystyle\int u\cdot u^3\,\mathrm du$

$=\displaystyle\int u^4\,\mathrm du$

$=\dfrac{u^5}5+C$

$=\boxed{\dfrac{(\cos\theta+\sin\theta)^5}5+C}$

4 0

3 years ago

Approximately _____ percent of the population are diagnosed with panic disorder using DSM criteria.

torisob [31]

DSM stands for Diagnostic and Statistical Manual of Mental Disorders. DSM is aclassification system for the mental disorders and indicates how the disorder can be distinguished from other. The DSM-5 recognized anxiety disorders are: generalized anxiety disorder, phobic disorder, panic disorder and obsessive compulsive disorder. <span>Approximately 3 percent of the population are diagnosed with panic disorder using DSM criteria.</span>

3 0

3 years ago