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3 years ago

Is 35,689 a composite number?

1 answer:

7 0

Yup! Thirty five thousand six hundred and eighty nine is a composite number. <span>35689 is an odd composite number.</span>

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Describe in detail how you would create a number line with the following points: 4, 1.25, the opposite of 3, and – (–2). Please

pochemuha

Well you would have to put 25 make in between 1,4, -2

6 0

3 years ago

A cylindrical tank with radius 3 m is being filled with water at a rate of 4 m3/min. How fast is the height of the water increas

Fittoniya [83]

Height of the water increasing is at rate of $#(dh)/(dt)=3/(25 pi)m/(min)#$

<h3>How to solve?</h3>

With related rates, we need a function to relate the 2 variables, in this case it is clearly volume and height. The formula is:

$#V=pi r^2 h#$

There is radius in the formula, but in this problem, radius is constant so it is not a variable. We can substitute the value in:

$#V=pi (5m)^2 h#$

Since the rate in this problem is time related, we need to implicitly differentiate wrt (with respect to) time:

$#(dV)/(dt)=(25 m^2) pi (dh)/(dt)#$

In the problem, we are given $#3(m^3)/min# which is #(dV)/(dt)#.$

So we need to substitute this in:

$#(dh)/(dt)=(3m^3)/(min (25m^2) pi)=3/(25 pi)m/(min)#$

Hence, Height of the water increasing is at rate of $#(dh)/(dt)=3/(25 pi)m/(min)#$

<h3>Formula used: </h3>

$#V=pi r^2 h#$

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4 0

2 years ago

Read 2 more answers

Lisa paid 45.30 for 15.9 gallons of gasoline.what was the cost per gallon, rounded to the nearest hundreath

dimulka [17.4K]

Answer:

$2.85

Step-by-step explanation:

45.30/15.90=2.849

rounded up to the nearest hundreth would be $2.85.

6 0

3 years ago

Read 2 more answers

Triangle DEF is circumscribed about circle R. Points S, T and U are points of tangency where SD = 4 m and UF = 7 m. What is the

Mama L [17]

The measure off DF is 11.

In a circle inscribed within a triangle, the distance from each vertex of the triangle to the two nearest touchpoints (points of tangency on the circle) are equal. Since SD=4, DT=4 as well. Since UF=7, then FT=7.

DF=DT+TF=4+7=11.

4 0

3 years ago

Read 2 more answers

F(x) =5x^2-20x+3 how to find minimum

Leya [2.2K]

Answer:

(2,-17) should be the minimum.

Step-by-step explanation:

The minimum of a quadratic function occurs at $x=-\frac{b}{2a}$ . If a is positive, the minimum value of the function is $f(-\frac{b}{2a})$