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3 years ago

Explain how many small beetles its would take to equal the mass of 1 small brick.

Mathematics

2 answers:

AfilCa [17]3 years ago

7 0

It would take 100 small beetles to equal the mass of one small brick.

antoniya [11.8K]3 years ago

4 0

500 or 1,00 i believe,friend meh

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What is the equation of the quadratic graph with a focus of (3, 1) and a directrix of y = 5?

telo118 [61]

Answer:

$f(x)=-\frac{1}{8}(x-3)^2+3$

Step-by-step explanation:

We want to find the equation of the parabola with a focus of $(3,1)$ and directrix $y=5$ .

Considering the directrix, the quadratic graph must open downwards.

The equation of this parabola is given by the formula,

$(x-h)^2=4p(y-k)$ , where $(h,k)$ is the vertex of the parabola.

The axis of this parabola meets the directrix at $(3,5)$ .

Since the vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix,

$h=\frac{3+3}{2}=3$ and $k=\frac{5+1}{2}=3$ .

The equation of the parabola now becomes,

$(x-3)^2=4p(y-3)$ .

Also $|p|$ is the distance between the vertex and the directrix.

$|p|=2$

This implies that $p=-2\:or\:2$ .

Since the parabola turns downwards,

$p=-2$ .

Our equation now becomes,

$(x-3)^2=4(-2)(y-3)$ .

$(x-3)^2=-8(y-3)$ .

We make y the subject to get,

$y=-\frac{1}{8}(x-3)^2+3)$ .

This is the same as

$f(x)=-\frac{1}{8}(x-3)^2+3)$ .

4 0

3 years ago

In how many ways can 6 different kinds of pizza be listed on the menu?

vredina [299]

Answer: 720

Step-by-step explanation:

Since we are to list 6 different kinds of Pizza and no condition is attached , this arrangement could be done in 6! ways.

That is

6! = 720

This means that the different kind of pizza could be listed in 720 ways

5 0

3 years ago

Theo bought 2 hot dogs and two drinks for $4.00. At the same concession stand, Vicky bought 3 hot dogs and a drink for $4.50. Wr

Sedbober [7]

Answer:

The hot dog are $2.63

Step-by-step explanation:

Hot Dogs = H

Drinks = D

2H + 2D = 4

Divide both sides by 2

H + D = 2

Subtract D from either side

H = 2 -D

3H + D = 4.50

Plug in 2 - D for H

3(2- D ) + D = 4.50

6 - 3D + D = 4.50

6 - 4D = 4.50

Add 6 to either side

-4D = 10.50

Divide either side by -4

D = -2 . 625

3 0

3 years ago

The width of a rectangle is 1 3/4 feet. The rectangle is 2 1/2 feet longer than it is wide. What is the length of the rectangle?

sp2606 [1]

Answer:

length=4 1/4

Step-by-step explanation:

1 3/4 + 2 1/2
convert 2 1/2 into 2/4 since 2 is half of 4
add the converted number and 1 3/4 fractions
2/4 and 3/4 added will make 1 1/4
add 1 1/4, 2 and 1 and it will equal 4 1/4

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3 years ago

There are 5 cats for every 4 dogs at the animal shelter. What is the ratio of dogs to cats?

grigory [225]

Answer:

4:5

Step-by-step explanation:

6 0

3 years ago

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