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MrRissso [65]
3 years ago
15

Will give branliest and 10 points please answer with correct work

Mathematics
2 answers:
GaryK [48]3 years ago
8 0
Sorry I’m not sure about this one
insens350 [35]3 years ago
4 0

Answer: Part A the answer is yes and Part B the answer is no.

Step-by-step explanation:

Part A when you divide 7 by 2 you get 3.5 and if you multiply that number by the rest of the numbers and you get the number beneath the other number.

Part B when you divide 8 by 5 you get 1.6 and if you multiply that number by the rest of the numbers and then you don't get the number beneath the other number.

Danche!

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Find constants a and b such that the function y = a sin(x) + b cos(x) satisfies the differential equation y'' + y' − 5y = sin(x)
vichka [17]

Answers:

a = -6/37

b = -1/37

============================================================

Explanation:

Let's start things off by computing the derivatives we'll need

y = a\sin(x) + b\cos(x)\\\\y' = a\cos(x) - b\sin(x)\\\\y'' = -a\sin(x) - b\cos(x)\\\\

Apply substitution to get

y'' + y' - 5y = \sin(x)\\\\\left(-a\sin(x) - b\cos(x)\right) + \left(a\cos(x) - b\sin(x)\right) - 5\left(a\sin(x) + b\cos(x)\right) = \sin(x)\\\\-a\sin(x) - b\cos(x) + a\cos(x) - b\sin(x) - 5a\sin(x) - 5b\cos(x) = \sin(x)\\\\\left(-a\sin(x) - b\sin(x) - 5a\sin(x)\right)  + \left(- b\cos(x) + a\cos(x) - 5b\cos(x)\right) = \sin(x)\\\\\left(-a - b - 5a\right)\sin(x)  + \left(- b + a - 5b\right)\cos(x) = \sin(x)\\\\\left(-6a - b\right)\sin(x)  + \left(a - 6b\right)\cos(x) = \sin(x)\\\\

I've factored things in such a way that we have something in the form Msin(x) + Ncos(x), where M and N are coefficients based on the constants a,b.

The right hand side is simply sin(x). So we want that cos(x) term to go away. To do so, we need the coefficient (a-6b) in front of that cosine to be zero

a-6b = 0

a = 6b

At the same time, we want the (-6a-b)sin(x) term to have its coefficient be 1. That way we simplify the left hand side to sin(x)

-6a  -b = 1

-6(6b) - b = 1 .... plug in a = 6b

-36b - b = 1

-37b = 1

b = -1/37

Use this to find 'a'

a = 6b

a = 6(-1/37)

a = -6/37

8 0
3 years ago
How do I solve this equation? <br> 4-y/5=2-2y/8
Aliun [14]

y=−40

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4−y5=2−2y8

4+−15y=2+−14y

−15y+4=−14y+2

Step 2: Add 1/4y to both sides.

−15y+4+14y=−14y+2+14y

120y+4=2

Step 3: Subtract 4 from both sides.

120y+4−4=2−4

120y=−2

Step 4: Multiply both sides by 20.

20*(120y)=(20)*(−2)

Answer:

y=−40

8 0
3 years ago
Read 2 more answers
An inscribed angle is an angle formed by two chords that share and endpoint and pass through the center
miv72 [106K]

It is False.

because a inscribed angle is an angle formed by two chords in a circle which have a common endpoint, which is the vertex of the angle.This vertex does not have to be the center of the circle. The chords that make up the sides of the angle do not have to go through the center of the circle.

5 0
3 years ago
A shop advertised "Everything half price
Aleks04 [339]

Your answer would be 57.5%.

7 0
3 years ago
A company makes baseball cards in packs of 10, boxes of 100, and cases of 1,000. A store orders a total of 15,470 cards. How can
Wewaii [24]

A company makes baseball cards in packs of 10, boxes of 100, and cases of 1,000. A store orders a total of 15,470 cards. How can the company fill the order in the exact amount?

Answer: The company can fill the order in exact numbers as:

15 cases, 4 boxes, 7 packs

15 cases contain 15 \times 1000=15000 cards

4 boxes contain 4 \times 100 =400 cards

7 packs contain 7 \times 10 = 70 cards

Therefore, the total cards are:

15000 + 400 + 70 = 15,470

4 0
4 years ago
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