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3 years ago

5

Milton purchases a 5 gallon aquarium for his bedroom. To fill the aquarium with water,he uses a container with a capacity of 1 q

uart. How many times will Milton fill and empty the container before the aquarium is full ?

2 answers:

Solnce55 [7]3 years ago

4 0

There are 20 quarts in 5 gallons. This shows that Milton will have to fill and empty the container 20 times.

leonid [27]3 years ago

3 0

Milton will take 20 trips to fill the aquarium.

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The same type of television is being sold at two different stores. Store A is selling the television for $ 800, which is $ 120 m

erma4kov [3.2K]

Answer: $340

Step-by-step explanation:

$800 - $120 = $680

1/2 of $680 is $340

Hope this helps!

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4 years ago

A conical paper funnel of radius 4 and height 6 units is needed to make a good cup of coffee. If this funnel is made out of a se

Nimfa-mama [501]

Answer:

The radius of this circle is $2\sqrt{13}$ and the central angle of the sector is $\theta=\frac{2}{\sqrt{13}}\times360^\circ$ .

Step-by-step explanation:

Consider the provided information.

If a conical paper funnel is made out of a sector of circle then the radius of the sector becomes the slant height of the cone, and the length of the curved part of the sector becomes the circumference of the base of the cone.

First find the slant height: $l=\sqrt{r^2+h^2}$

$l=\sqrt{4^2+6^2}$

$l=\sqrt{16+36}$

$l=2\sqrt{13}$

Thus, the radius of the sector is $2\sqrt{13}$ which is same as the slant height of the cone.

Now, the circumference of the base of the cone is same as the length of the curved part.

$C=2\pi r$

$C=2\pi \times4=8\pi$

The length of the curved part = $\frac{\theta}{360\circ}\times2\pi r$

$\frac{\theta}{360\circ}\times2\pi \times2\sqrt{13}=8\pi$

$\frac{\theta}{360\circ}\times\sqrt{13}=2$

$\theta=\frac{2}{\sqrt{13}}\times360^\circ$

Hence, the radius of this circle is $2\sqrt{13}$ and the central angle of the sector is $\theta=\frac{2}{\sqrt{13}}\times360^\circ$ .

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3 years ago

Find the equation of the line tangent to y = -3x2 + x - 5 at x = -1

SVEN [57.7K]

$\boxed{y+9=7(x+1)}$

<h2>Explanation:</h2>

The Point-Slope form of the equation of a line is given by:

$y-y_{0}=m(x-x_{0}) \\ \\ \\ Where: \\ \\ m:Slope \\ \\ (x_{0},y_{0}):A \ point$

To find the equation of the line tangent to $y=-3x^2+x-5 \ at \ x=-1$ , we need to take the derivative:

$\frac{dy}{dx}=-6x+ 1$

The slope of the line tangent to $y=-3x^2+x-5$ at $x=-1$ can be found evaluationg $x=1$ in the derivative:

$\frac{dy}{dx}\Bigr\rvert_{x=-1}=-6x+ 1 \\ \\ \\ \frac{dy}{dx}\Bigr\rvert_{x=-1}=-6(-1)+ 1 \\ \\ \\ m=\frac{dy}{dx}\Bigr\rvert_{x=-1}=7$

Finding the point:

$x_{0}=-1 \\ \\ Then: \\ \\ y_{0}=-3(-1)^2-1-5=-9 \\ \\ (x_{0},y_{0})=(-1,-9)$

Finally, our line is:

$y-(-9)=7(x-(-1)) \\ \\ \boxed{y+9=7(x+1)}$

The representation of this problem is shown below.

<h2>Learn more:</h2>

Derivative of functions: brainly.com/question/2142425

#LearnWithBrainly

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3 years ago

I need help with the group 1 and group 2, what do i write in the boxes :((

Elenna [48]

I don’t see anything it’s a black screen

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3 years ago

What are the values of x that would make the line j parallel to line k? Help me please!

vagabundo [1.1K]

Answer:

For line j to be parallel to line k, then x has to be equal to 0

Step-by-step explanation:

if line j is parallel to line k, then the two angles are equal.

They are equal because they would be alternate angles and alternate angles are equal in value

Thus,

3x + 10 = 5x + 10

5x-3x = 10-10

2x = 0

x = 0

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3 years ago