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schepotkina [342]

3 years ago

11

Write an equation in slope-intercept form of the line passing through a given point and having the given slope m=-3 through (1,9

)

1 answer:

ioda3 years ago

4 0

Answer:

y=-3x+12

Step-by-step explanation:

9=-3(1)+b

9=-3+b

9+3=3-3+b

12=b

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1.75_____, 6.75, 9.25, 11.75 / Rule:_________________

dimaraw [331]

This looks like an addition (summation is the technical term) series. Here we need to figure out the difference between each number in the series. The difference between 6.75 and 9.25 is 2.5 (You can subtract the larger number from the smaller number to find out). So, 6.75-2.5=4.25.

So the correct answer in the blank is 4.25, and the rule is +2.5.

8 0

3 years ago

Read 2 more answers

Use mathematical

sdas [7]

Answer:

This is a pretty broad question but im guessing you could use math to calculate how many people would get infected each day. You could start with

Ex.

Okay if we have one infected person how many people could they possibly pass the illness onto the next day. Well if they have x number of classes and see y number of people in those classes whats the PROBABILIITY one of those people gets the virus. Than you could calculate how many people will get infected the NEXT day.

7 0

3 years ago

Calculate the value of k=xy

makkiz [27]

Answer:

x times y

Step-by-step explanation:

k is the value of x times y

7 0

3 years ago

1. The mechanics at Lincoln Automotive are reborning a 6 in deep cylinder to fit a new piston. The machine they are using increa

Firdavs [7]

Answer:

$0.0239\frac{in^{3}}{min}$

Step-by-step explanation:

In order to solve this problem, we must start by drawing a diagram of the cylinder. (See attached picture)

This diagram will help us visualize the problem better.

So we start by determining what data we already know:

Height=6in

Diameter=3.8in

Radius = 1.9 in (because the radius is half the length of the diameter)

The problem also states that the radius will increase on thousandth of an inch every 3 minutes. We can find the velocity at which the radius is increasing with this data:

$r'=\frac{1/1000in}{3min}$

which yields:

$r'=\frac{1}{3000}\frac{in}{min}$

with this information we can start solving the problem.

First, the problem wants us to know how fast the volume is increasing, so in order to find that we need to start with the volume formula for a cylinder, which is:

$V=\pi r^{2}h$

where V is the volumen, r is the radius, h is the height and π is a mathematical constant equal approximately to 3.1416.

Now, the height of the cylinder will not change at any time during the reborning, so we can directly substitute the provided height, so we get:

$V=\pi r^{2}(6)$

or

$V=6 \pi r^{2}$

We can now take the derivative to this formula so we get:

$\frac{dV}{dt}=2(6)\pi r \frac{dr}{dt}$

Which simplifies to:

$\frac{dV}{dt}=12\pi r \frac{dr}{dt}$

We can now substitute the data provided by the problem to get:

$\frac{dV}{dt}=12\pi (1.9) (\frac{1}{3000})$

which yields:

$\frac{dV}{dt}=0.0239\frac{in^{3}}{min}$

3 0

4 years ago

Write in slope intercept form an equation of the line<br> (1, 2); m = -2

mr Goodwill [35]

Y = 2
X = 1
M = -2
B = ?
y=mx+b
2=-2(1)+b
2= -2 + b
+2 +2
4 = b
Therefore the equation is
y = -2x + 4

6 0

3 years ago