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2 years ago

Round the original numbers to the nearest whole number tenth and hundredth

Mathematics

1 answer:

lina2011 [118]2 years ago

3 0

Whole number:

1. 5

2. 6

3. 6

Tenth:

1. 5.3

2. 5.8

3. 5.8

Hundredth:

1. 5.33

2. 5.76

3. 5.85

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Which graph represents this exponential function? f(x)=3(2)^x-4

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Answer:

Step-by-step explanation:

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2 years ago

Inverse of m(x)=2x^2-6

romanna [79]

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2 years ago

Slope of (-2,-1) and (5,-1) in fraction form

dangina [55]

Slope is 0

Step-by-step explanation:

Step 1: Find slope using the formula for slope, m = (y2 - y1)/(x2 - x1) Here, x1 = -2, y1 = -1, x2 = 5 and y2 = -1

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2 years ago

The surface area of a melting snowball decreases at a rate of3.8cm2/min. Find the rate at which its diameter decreases when the

Scorpion4ik [409]

Answer:

Step-by-step explanation:

This is a pretty basic related rates problem. I'm going to go through this just like I do in class when I'm teaching it to my students.

We see we have a snowball, which is a sphere. We are talking about the surface area of this sphere which has a formula of

$S=4\pi r^2$

In the problem we are given diameter, not radius. What we know about the relationship between a radius and a diameter is that

d = 2r so

$\frac{d}{2}=r$ Now we can have the equation in terms of diameter instead of radius. Rewriting:

$S=4\pi(\frac{d}{2})^2$ which simplifies to

$S=4\pi(\frac{d^2}{4})$ and a bit more to

$S=\pi d^2$ (the 4's cancel out by division). Now that is a simple equation for which we have to find the derivative with respect to time.

$\frac{dS}{dt}=\pi*2d\frac{dD}{dt}$ Now let's look at the problem and see what we are given as far as information.

The rate at which the surface area changes is -3.8, and we are looking for $\frac{dD}{dt}$ , the rate at which the diameter is changing, when the diameter is 13. Filling in: