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qaws [65]
3 years ago
5

Which of the following represents a pyramidal number sequence?

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
8 0

Answer: the answer is C

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What are the coordinates of the vertex of the parabola described by the equation below? y = -7(x - 4)2 - 5
pochemuha
To get the vertex of the parabola we proceed as follows;
y=-7(x-4)^2-5
The above can be written as:
y=-7x^2+56x-117
The values of a,b and c are:
a=-7, b=56 and c=-117
x=-b/(2a)
x=-56/(-7*2)=4
but;
y=-7x^2+56x-117
y=-7(4)^2+56(4)-117
y=-5
Thus;
x=4 and y=-5
The vertex will be at point (4,-5)


7 0
4 years ago
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The graph shows how a motorboat travels around a lake. What does the graph most likely show?
kozerog [31]
D, it increases then goes at a constant speed
8 0
3 years ago
WILL MARK BRAINLIEST NEED ANSWERS NOWW 100 POINTTTSSS.
mestny [16]

Part A:

To get the interest of 1 year

Multiply 20,000 by 5% or 0.05

You get $1,000

Thats the amount for 1 year, now to get for 4 years, multiply 1,000, by 4

She pays $4,000 in interest

Part B:

If she pays it off in 2 years, instead of 4 years, she will pay an interest of $2,000, divide 4 by 2

Part C:

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3 years ago
Given the Homogeneous equation x^2ydy+xy^2dx=0, use y=ux, u=y/x and dy=udx+xdu to solve the differential equation. Solve for y.
scZoUnD [109]

Answer:

y=\frac{C}{x}.

Step-by-step explanation:

Given homogeneous equation

x^2ydy+xy^2dx=0

\frac{\mathrm{d}y}{\mathrm{d}x}=-\frac{xy^2}{x^2y}

Substitute y=ux , u=\frac{y}{x}

\frac{\mathrm{d}y}{\mathrm{d}x}=-\frac{y}{x}

Now,

u+x\frac{\mathrm{d}u}{\mathrm{d}x}=\frac{\mathrm{d}y}{\mathrm{d}x}

u+x\frac{\mathrm{d}u}{\mathrm{d}x}=-u

\frac{\mathrm{d}u}{\mathrm{d}x}=-2u

\frac{du}{u}=-\frac{dx}{x}

Integrating both side we get

lnu=-2lnx+lnC

Where lnC= integration constant

lnu+ln{x}^2=lnC

lnux^2=lnC

Cancel ln on both side

ux^2=C

Substitute u=\frac{y}{x}

Then we get

xy=C

y=\frac{C}{x}.

Answer:y=\frac{C}{x}.

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