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hichkok12 [17]
2 years ago
14

1.5 times the amount a bucket holds makes 6 gallons. How many gallons does the bucket

Mathematics
1 answer:
ira [324]2 years ago
3 0

Answer:

1.5x = 6

Step-by-step explanation:

This represents 1.5 times the amounts a bucket holds. (I'm assuming you mean x when you typed z)

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What is the x-value of the solution of the system of
LenaWriter [7]

Answer:

Step-by-step explanation:

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y= 5x + 9

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5x+x= 3-9

6x=-6

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A plane flying horizontally at an altitude of "1" mi and a speed of "430" mi/h passes directly over a radar station. Find the ra
Anika [276]

Answer:

The rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station is 372 mi/h.

Step-by-step explanation:

Given information:

A plane flying horizontally at an altitude of "1" mi and a speed of "430" mi/h passes directly over a radar station.

z=1

\frac{dx}{dt}=430

We need to find the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station.

y=2

According to Pythagoras

hypotenuse^2=base^2+perpendicular^2

y^2=x^2+1^2

y^2=x^2+1               .... (1)

Put z=1 and y=2, to find the value of x.

2^2=x^2+1^2

4=x^2+1

4-1=x^2

3=x^2

Taking square root both sides.

\sqrt{3}=x

Differentiate equation (1) with respect to t.

2y\frac{dy}{dt}=2x\frac{dx}{dt}+0

Divide both sides by 2.

y\frac{dy}{dt}=x\frac{dx}{dt}

Put x=\sqrt{3}, y=2, \frac{dx}{dt}=430 in the above equation.

2\frac{dy}{dt}=\sqrt{3}(430)

Divide both sides by 2.

\frac{dy}{dt}=\frac{\sqrt{3}(430)}{2}

\frac{dy}{dt}=372.390923627

\frac{dy}{dt}\approx 372

Therefore the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station is 372 mi/h.

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3 years ago
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Answer:

falseeeeeeeee for sure

Step-by-step explanation:

can i get brianlissssstttt

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Which of the following is equal to (3^-3)(3^7)?<br><br> a. 3^4<br> b. 3^-4<br> c. 3^-10<br> d. 3^10
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a. 3^4 which is equal to (3^-3)(3^7)

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