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Oliga [24]
3 years ago
11

Write an equation in slope-intercept form that includes the points (-1,4) and (2, −2).

Mathematics
1 answer:
suter [353]3 years ago
4 0
The two formulas i used should be in your book

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Find the particular solution to y'=2sin(x) given the general solution is y=C-2cos(x) and the initial condition y(pi/3)=1
mezya [45]

ANSWER

The particular solution is:

y=2-2 \cos(x)

EXPLANATION

The given Ordinary Differential Equation is

y'=2 \sin(x)

The general solution to this Differential equation is:

y=C-2 \cos(x)

To find the particular solution, we need to apply the initial conditions (ICs)

y( \frac{\pi}{3} ) = 1

This implies that;

C-2 \cos( \frac{\pi}{3} ) = 1

C-2( \frac{1}{2} )= 1

C-1= 1

C= 1 + 1 = 2

Hence the particular solution is

y=2-2 \cos(x)

4 0
3 years ago
NEED ANSWER ASAP- FOR FINALS
irga5000 [103]

Answer:

Height: 6 feet, Length: 14 feet, Width: 35 feet.

Step-by-step explanation:

The volume of a rectangular prism is length * width * height.

We know that the height of the pool is 6 feet and that one side is 2.5 times longer than the other. It doesn't matter which side, as long it's not the height. So let's just say the width is 2.5 times bigger than the length.

That means our equation can be rewritten as V = height * length* 2.5 * length.

Plugging in what we know, we get:

2940=(6)(l)(2.5l)\\196=l^{2} \\l=14 feet

Now we need to find the width.

w=2.5l\\w=2.5(14)\\w= 35feet

6 0
2 years ago
Suppose two random variables, X and Y are independent, which statement is false? a) P(X∣Y)=P(X) b) P(X∪Y)=P(X)+P(Y) c) P(X∩Y)=P(
Svetlanka [38]

B is false, since by the inclusion/exclusion principle,

P(X\cup Y)=P(X)+P(Y)-P(X\cap Y)

By independence, we have P(X\cap Y)=P(X)P(Y), which is zero if either of P(X) or P(Y) is 0, which isn't guaranteed.

5 0
2 years ago
The temperature in a potter's kiln dropped 760 degrees in 4 hours.on what average,how much did the temperature drop per hour?
Elena L [17]
76 divided by 4 is 19. Add a zero and the answer is 190.
Hope this helps you !!
7 0
3 years ago
-x=-15<br><br>Syep by step solution need​
andrew-mc [135]

Answer:

x = 15

Step-by-step explanation:

-x = -15

x = -1 × (-15)

<u>x</u><u> </u><u>=</u><u> </u><u>1</u><u>5</u>

6 0
2 years ago
Read 2 more answers
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