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3 years ago

Can someone pls help mee plsss I tried and I still can't get it

Mathematics

1 answer:

7nadin3 [17]3 years ago

4 0

Answer:

All integers are whole numbers

Step-by-step explanation:

Integers include all whole numbers and their negative counterpart (basically numbers that are NOT fractions or decimals).

Whole numbers don't include negative numbers (as negative numbers are rational numbers).

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The cross section of a parabolic reflector has a vertical axis of symmetry with its vertex at (0,0) . The focus of the reflector

Paha777 [63]

Answer:

The depth of the reflector is 0.84 feet

Step-by-step explanation:

<em>(See the figure below)</em>

The equation of a parabola centered at the origin with an axis of symmetry on y-axis is:

$x^{2}=4py$ (1)

With p the distance from the origin to the focus using p=6, the equation (1) of the parabola becomes:

$x^{2}=4(6)y=24y$ (2)

Note that the point B is on the parabola, so this point should satisfy the parabola equation (2) that allow us to use the value x=4.5 to find the y value associated to it, that it is the depth (h) of the reflector:

$(4.5)^{2}=24y$ , solving for y

$y=\frac{(4.5)^{2}}{24}\approx0.84\,ft$

4 0

3 years ago

A filter filled with liquid is in the shape of a vertex-down cone with a height of 9 inches and a diameter of 6 inches at its op

Alina [70]

Answer: Level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.

Step-by-step explanation:

Since we have given that

Height = 9 inches

Diameter = 6 inches

Radius = 3 inches

So, $\dfrac{r}{h}=\dfrac{3}{9}=\dfrac{1}{3}\\\\r=\dfrac{1}{3}h$

Volume of cone is given by

$V=\dfrac{1}{3}\pi r^2h\\\\V=\dfrac{1}{3}\pi \dfrac{1}{9}h^2\times h\\\\V=\dfrac{1}{27}\pi h^3$

By differentiating with respect to time t, we get that

$\dfrac{dv}{dt}=\dfrac{1}{27}\pi \times 3\times h^2\dfrac{dh}{dt}=\dfrac{1}{9}\pi h^2\dfrac{dh}{dt}$

Now, the liquid drips out the bottom of the filter at the constant rate of 4 cubic inches per second, ie $\dfrac{dv}{dt}=-4\ in^3$

and h = 2 inches deep.

$-4=\dfrac{1}{9}\times \pi\times (2)^2\dfrac{dh}{dt}\\\\-9\pi =\dfrac{dh}{dt}\\\\-28.28=\dfrac{dh}{dt}$

Hence, level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.

7 0

3 years ago

Jan and two of her friends raised money by having a bake sale. They split the proceeds. If each person received $32.19, how much

Dimas [21]

You need to multiply the answer by how many people got that amount, Jan +her 2 friends would be 3 people so
32.19 x 3 = 96.57

5 0

3 years ago

Read 2 more answers

Hi guys can you guys answer this pls and explain plss

mario62 [17]

Answer:

Symmetry is correspondence of the form and arrangement of elements or parts on opposite sides of a dividing line. imagine that this ractangle is a piece of paper, you need to fold it two times, different ways. in this case when you fold it over the horizontal colored line all colored parts will match, same case when you fold it vertically.

4 0

2 years ago

A car traveled 63 miles on 3 gallon of gas. What proportion can you set up to determine how many miles, m, the car can travel on

kari74 [83]

63/3= 21
So 21 miles per gallon of gas
To find 7, you multiply it by 7
21*7= 147
147 miles on 7 gallons of gas

5 0

3 years ago

Read 2 more answers

Can someone pls help mee plsss I tried and I still can't get it​

Can someone pls help mee plsss I tried and I still can't get it