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-BARSIC- [3]
3 years ago
12

Determine the y- intercept of 3x+2y=9

Mathematics
2 answers:
evablogger [386]3 years ago
8 0

Answer:

The y intercept is (0,4.5)

Step-by-step explanation:

Because the y-intercept occurs at x = 0, we can substitute this into our equation and solve for y.

3(0) +2y = 9

2y = 9

y=4.5

Natalka [10]3 years ago
4 0

Answer:

\boxed{(0 , 4.5)}

Step-by-step explanation:

→ Rearrange into y = mx + c format

2y = - 3x + 9

→ Divide everything by 2

y = -1.5x + 4.5

→ Substitute x = 0

y = 0 + 4.5 ⇒ 4.5

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At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 6 cubic feet per minute. The dia
Alla [95]

Answer:

0.2122\text{ ft per min}

Step-by-step explanation:

Let r be the radius ( in feet ) of the cone,

So, the diameter of the cone = 2 × radius = 2r feet,

∵ The diameter of the base of the cone is three times the height,

If h represents the height of the cone,

⇒ 2r = 3 × h,

⇒ r=\frac{3h}{2} feet,

∵ Volume of a cone,

V=\frac{1}{3}\pi R^2 H

Where,

R = radius, H = height,

Thus, the volume of the given cone is,

V=\frac{1}{3}\pi r^2 h

=\frac{1}{3}\pi (\frac{3h}{2})^2 h

=\frac{3}{4}\pi h^3

Differentiating with respect to t ( time )

\frac{dV}{dt}=\frac{9}{4}\pi h^2\frac{dh}{dt}

We have,

\frac{dV}{dt}=6\text{ cubic ft per min},h=2\text{ feet}

6=\frac{9}{4}\pi (2)^2 \frac{dh}{dt}

6=9\pi \frac{dh}{dt}

\implies \frac{dh}{dt}=\frac{6}{9\pi }\approx 0.2122\text{ ft per min}

4 0
3 years ago
What can 6/9 be Simplified to
hoa [83]

Answer:

2/3

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
E5 In (x + 1)<br> Simplify
pentagon [3]

Answer:

e^ (5 ln (x + 1))   = (x + 1)^5

Step-by-step explanation:

e5 In (x + 1)  or did you mean   e^ (5 ln (x + 1))

because then this would simplify a lot

e^ (5 ln (x + 1))  = e ^ (ln (x + 1)^5)

e^ (5 ln (x + 1))  = e ^ (ln (x + 1)^5) = (x + 1)^5

or did you mean  (e^5) ( ln (x + 1))  =  ln [(x+1)^(e^5)]

But I think you meant:

e^ (5 ln (x + 1))  = e ^ (ln (x + 1)^5) = (x + 1)^5

8 0
2 years ago
Write three ways to find different bases for 64
bixtya [17]
8^2, 4^3, and 2^6 are 3 ways
4 0
3 years ago
Y - (-9) = 8?<br><br> I am confused
Yuki888 [10]

Answer:

y = -1

Step-by-step explanation:

y - ( - 9) = 8

y + 9 = 8

y = 8 - 9

y = -1

- ( - turns to + because you are subtracting a negative number

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

4 0
3 years ago
Read 2 more answers
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