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ElenaW [278]
3 years ago
6

Can someone please help me with this math problem. It is rate of change.

Mathematics
1 answer:
Shalnov [3]3 years ago
8 0

Answer:

Step-by-step explanation:

I think 2700miles /(4+2/3) equal 578,5

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Y= 4x + 3<br> y= -x - 2<br><br> solve the system of linear equation by graphing
m_a_m_a [10]

Answer:

(-1, -1)

Step-by-step explanation:

To solve a system of equations by graphing, first graph the lines. Then, find where the two lines hit each other. This is called the "point of intersection", which is the solution. Mark this point's coordinates as an ordered pair (x, y) for your answer.

The equations are in slope-intercept form y = mx + b.

"x" and "y" are points on the line.

"m" is the slope, which equals to \frac{rise}{run}.

"b" is the y-intercept, where a line hits the y-axis.

For y = 4x + 3 (blue):

b = 3. This first point is at "3", on the y-axis. Draw a dot there. Use the slope to get another point.

m = 4. Write it as a fraction to get the rise and run values.

m=\frac{4}{1}

From your first point, "rise" (go up) 4 squares, and "run" (go right) 1 squares. Put a dot here too.

Now, you can <u>connect the two points</u> to form a straight line. Remember to put arrows at the ends of the line.

For y = -x - 2 (red):

b = -2. This first point is at "-2", on the y-axis. Put a dot here.

Let's find the next point using the slope.

m = -1. Write it as a fraction to get the rise and run values.

m=-\frac{1}{1}

From your first point, "rise" -1 squares. This means to go down 1 square because the fraction is negative. "Run" (go right, same as before) 1 square. Draw your second point here.

Now, you can <u>connect the two points</u> to form a straight line. Remember to put arrows on the line again.

Extend the lines (keep making them longer) until they hit each other. Where they meet is the solution of the system.

The solution is (-1, -1).

3 0
3 years ago
Use differentials to estimate the amount of paint needed to apply a coat of paint 0.07 cm thick to a hemispherical dome with dia
Mademuasel [1]

An hemispherical dome is half a sphere. If the diameter is 60 m, then the radius is 30 m.

We can use differentials to solve this problem because we are adding a thin layer to the original dome, so the volume of the dome in increased by a differential of itself.

This differential volume that the dome is increased is equal to the volume of the coat of paint.

The volume of the dome can be written as:

\begin{gathered} V=\frac{4\pi}{3}r^3 \\ \frac{dV}{dr}=\frac{4\pi}{3}\cdot3r^2\Rightarrow dV=\frac{4\pi}{3}\cdot3r^2\cdot dr=4\pi r^2\cdot dr \end{gathered}

Now, we can calculate dV as:

\begin{gathered} dV=4\pi r^2\cdot dr \\ dV\approx4\cdot3.14\cdot(30m)^2\cdot0.07\operatorname{cm}\cdot\frac{1m}{100\operatorname{cm}} \\ dV\approx12.57\cdot900m^2\cdot0.0007m \\ dV\approx7.92m^3 \end{gathered}

Answer: the paint needed for this coat is approximately 7.92 m^3

5 0
1 year ago
How do you solve (6,-7)(3,-5)
Masteriza [31]

are u looking for the slope?

5 0
3 years ago
5. sarah is buying candy by the pound for a party. for every 10 pounds of candy he buys, he pays $12. what is the cost, per poun
Masja [62]
Each pound of candy would be $1.20 ... $12 divided by 10 pounds is 1.2
7 0
3 years ago
Read 2 more answers
4. Jane, Andre, and Maria pick apples. Andre picks
Rasek [7]

Answer:

56 apples

Step-by-step explanation:

4 0
3 years ago
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