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stellarik [79]
3 years ago
10

A hot tub that holds 300 gallons of water drains at a rate of 8 gallons write an equation that represents how many gallons of wa

ter are left in the tub after it has drained for x minutes
Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
7 0

Answer:the number of gallons of water left in the tub after it has drained for x minutes is 300 - 8x

Step-by-step explanation:

A hot tub that holds 300 gallons of water drains at a rate of 8 gallons.

Let x represent the number of minutes for which the hot tub has drained water.

If the hot tub drains 8 gallons of water per minute, it means that in x minutes, the number of gallons of water that the hot tub would have drained is 8x

Therefore, the number of gallons of water left in the tub after it has drained for x minutes would be

300 - 8x

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The 7th term of an A.p is -4. If the common difference is-5, find the 6th term​
Lubov Fominskaja [6]

Answer:

Step-by-step explanation:

a₆ = a₇+(6-7)d = -4 -(-5) =1

7 0
2 years ago
Suppose $p(x)$ is a monic cubic polynomial with real coefficients such that $p(3-2i)=0$ and $p(0)=-52$. determine $p(x)$ (in exp
Maslowich

If p(3-2i)=0, then complex number 3-2i is a root of cubic polynomial.

If polynomial has real coefficients, then conjugated 3+2i is also a root of polynomial.

Then the polynomial will be of a form

p(x)=(x-(3-2i))(x-(3+2i))(x-a).

Since p(0)=-52, then

-52=(0-(3-2i))(0-(3+2i))(0-a),\\ \\-52=(2i-3)(3+2i)a,\\ \\-52=(4i^2-9)a,\\ \\-52=(-4-9)a,\\ \\-13a=-52,\\ \\a=4.

Therefore,

p(x)=(x-(3-2i))(x-(3+2i))(x-4),\\ \\p(x)=(x^2-6x+13)(x-4),\\ \\p(x)=x^3-10x^2+37x-52.

3 0
3 years ago
Find the total surface area of this cuboid.<br> 6cm<br> 5cm<br> 4cm
shusha [124]

Answer:

148cm^2

Step-by-step explanation:

The formula for surface area of a rectangular prism is 2(hl)+2(hw)+2(wl).

we just plug in the values.

2(6 x 5) + 2(6 x 4) + 2(4 x 5)

= 2(30) + 2(24) + 2(20) then simplify

= 60 + 48 + 40

= 148

6 0
2 years ago
Simplify 7 + (−3)<br> A: -10<br> B: -4<br> C: 4<br> D: 10
ad-work [718]

Answer: 4

Step-by-step explanation:

7+(-3)\\=7-3\\=\boxed{4}

5 0
2 years ago
PLZ HELP ill GIVE BRAINIESt!!!!20 Points
shepuryov [24]
She made her mistake at the first step. To simplify a radical, you would find two numbers that multiply by each other to get your original number (under the radical) and have one of the number be a perfect square.

Her reasoning is wrong because 10*10 is not \sqrt{50}. Had she been correct, her answer should have been able to be squared to equal \sqrt{50}

In other words, she should have done \sqrt{25*2}= \sqrt{25} * \sqrt{2}=5 \sqrt{2}
(We used 25 because 25 is a perfect square, 5*5=25).

:)
3 0
3 years ago
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