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sweet [91]
2 years ago
5

The science teacher is filling her new fish aquarium. The aquarium holds 28.5 gallons. If she fills the aquarium 2/5 of the way

full, how many gallons will she need?
Mathematics
1 answer:
Yuki888 [10]2 years ago
3 0

Answer:

11.4 gallons

Step-by-step explanation:

Divide 28.5 by 5 then multiply by 2:

(28.5 ÷ 5) x 2 = 5.7 x 2 = 11.4

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The profit function for a new product is given by p(x) = -4x^2+28x-40, where x is the number sold in thousands. How many items m
Ivenika [448]
The break even point is when profit is equal to zero, or in this case when p(x)=0

4x^2-28x+40=0

4(x^2-7x+10)=0

4(x^2-2x-5x+10)=0

4(x(x-2)-5(x-2))=0

4(x-5)(x-2)=0

So the break even points are when x=2 and 5, which is when 2000 and 5000 units are sold.
3 0
2 years ago
Evaluate the line integral, where C is the given curve. (x + 4y) dx + x2 dy, C C consists of line segments from (0, 0) to (4, 1)
zubka84 [21]

Parameterize the line segments (call them C_1 and C_2, respectively, by

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\displaystyle\int_C(x+4y)\,\mathrm dx+x^2\,\mathrm dy

=\displaystyle\int_0^1\bigg((4t+4t)(4)+(4t)^2(1)\bigg)\,\mathrm dt+\int_0^1\bigg((4+t+4(1-t))(1)+(4+t)^2(-1)\bigg)\,\mathrm dt

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6 0
2 years ago
Which of the following rotations around the origin of the triangle with
kramer

Answer:

Step-by-step explanation:

270 degrees

5 0
3 years ago
Write an inequality, in slope-intercept form, for the graph below. If necessary,
d1i1m1o1n [39]

Answer:not 100 % sure but I can write a slope intercept form equation, but not an inequality. I would need a picture of the graph to write an inequality.

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Now simplify:

y - 1 = 3(x - 1)

y - 1 = 3x - 3

y = 3x - 2

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Step-by-step explanation:

8 0
2 years ago
-6+ (-20) + (-40) + 3d
cupoosta [38]

Answer:

-3(22-d) ?

Step-by-step explanation:

I hope this is right please let me know

8 0
2 years ago
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