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3 years ago

Pls help. I don't understand it.

Mathematics

1 answer:

STatiana [176]3 years ago

5 0

Answer:

$\leq$

Step-by-step explanation:

No more than 13 people

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Little help, please thank you

Vitek1552 [10]

Answer:

Finding volume:

2^2 = 4

4 x 3.14 = 12.56

12.56 x 8(height) = 100.48

100.48 divided by 3 ( x 1/3 ) = around 33.49 in3 is your answer.

If the options dont give you 33.49 just go by 33.51 cubic meters.

8 0

3 years ago

Point C represents the center of the sphere.

nexus9112 [7]

Answer:

diameter

Step-by-step explanation:

5 0

4 years ago

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Solve. 21 + 3x = 3(-x + 3) - 12 x=

mars1129 [50]

X = -4.
explanation:
21+3x=3(-x+3)-12
21+3x=-3x+9-12
21+6x=9-12
21+6x=-3
6x=-24
x=-4

4 0

3 years ago

(I WILL GIVE BRAINLIEST) PLEASE HELP!

vfiekz [6]

Answer: im pretty sure its c

Step-by-step explanation: the numbers start at negative and show it is less then until it is it at the highest positive number

8 0

3 years ago

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A jumping spider's movement is modeled by a parabola. The spider makes a single jump from the origin and reaches a maximum heigh

aleksklad [387]

The spider's movement is an illustration of a parabola.

The equation of a parabola is: $\mathbf{y = -\frac{1}{160}(x - 40) + 10}$
The focus of a parabola is: (40,-30)
The axis of symmetry is: $\mathbf{x = 40}$
The directrix is: $\mathbf{y = 50}$

(a) The equation

The spider passes through the origin.

So, we have:

$\mathbf{(x,y) = (0,0)}$

The spider jumps to a maximum height of 10mm, midway 80mm.

So, the vertex is:

$\mathbf{(h,k) = (40,10)}$

The equation of a parabola is:

$\mathbf{y = a(x - h)^2 + k}$

So, we have:

$\mathbf{0 = a(0 - 40)^2 + 10}$

Subtract 10 from both sides

$\mathbf{a(0 - 40)^2 =- 10}$

$\mathbf{1600a =- 10}$

Solve for a

$\mathbf{a =- \frac{1}{160}}$

Substitute $\mathbf{a =- \frac{1}{160}}$ and $\mathbf{(h,k) = (40,10)}$ in $\mathbf{(h,k) = (40,10)}$

$\mathbf{y = -\frac{1}{160}(x - 40) + 10}$

(b) The focus, directrix and the axis of symmetry

The focus of a parabola is:

$\mathbf{Focus= (h, k + p)}$

Where:

$\mathbf{p = \frac{1}{4a}}$

So, we have:

$\mathbf{p = \frac{1}{4 \times -1/160}}$

$\mathbf{p = -\frac{160}{4}}$

$\mathbf{p = -40}$

So, we have:

$\mathbf{Focus = (40,10-40)}$

$\mathbf{Focus = (40,-30)}$

The axis of symmetry is:

$\mathbf{x = h}$

So, we have:

$\mathbf{x = 40}$

The directrix is:

$\mathbf{y = k - p}$

$\mathbf{y = 10 + 40}$

$\mathbf{y = 50}$