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3 years ago

Determine whether the given description corresponds to an observational study or an experiment.

Mathematics

1 answer:

NNADVOKAT [17]3 years ago

4 0

Answer:Good luck hopefully somebody answer your question

Step-by-step explanation:

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Walnut High Schools Enrollment is exactly five times as large as the enrollment at walmut junior high the total enrollment for t

Sunny_sXe [5.5K]

Answer:

Enrollment at walnut junior = 142

Enrollment at walnut high = 710

Step-by-step explanation:

Let :

Enrollment at walnut junior = x

Enrollment at walnut high = 5x

Total enrollment in both schools = 852

Mathematically ;

x + 5x = 852

6x = 852

x = 142

5x = 142 * 5 = 710

Hence,

Enrollment at walnut junior = 142

Enrollment at walnut high = 710

7 0

3 years ago

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: $\mathbf{y = 50}$

<u>(a) The equation</u>

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

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

<u>(b) The focus, directrix and the axis of symmetry</u>

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:

$\mathbf{y = k - p}$

$\mathbf{y = 10 + 40}$

$\mathbf{y = 50}$

Read more about parabolas at:

brainly.com/question/25237745

4 0

3 years ago

Can someone tell me what it is and explain it in an easy way, I'm kind of an idiot

lubasha [3.4K]

1/2 x 3/4
1 x 3 / 2 x 4
= 3/8

6 0

3 years ago

.014cg= how many Deka grams

Aleks [24]

.0014 is the answer to this. you have to go to the left one time ok

7 0

3 years ago

Read 2 more answers

Part B: if Javier works for five days and installs 48 windows how much does he earn? show your work to receive full credit.

Alja [10]

Answer:

He earns 749 dollars.

Step-by-step explanation:

I multiplied the money he earns per day ($75) to each day he works (5 days) and I got 375 , but I also multiplied how much he get paid to install windows ($8) to how many he installs every 5 days and I got 374 , and Then I added up 374 and 375 and that's how I got 749 . Plzz correct me if I'm wrong .

4 0

3 years ago