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2 years ago

PLEASE HELP WITH WHERE TO DOT!!!

Mathematics

2 answers:

Galina-37 [17]2 years ago

8 0

Answer:

points go at -3 on the line and at 9 one above the line

Step-by-step explanation:

sdas [7]2 years ago

5 0

Answer with explanation:

It is given that:

At an ocean depth of 8 meters, a buoy bobs up and then down 5 meters from the ocean's depth.

Sixteen seconds pass from the time the buoy is at its highest point to when it is at its lowest point.

Assume at x = 0 the buoy is at normal ocean depth.

this means that when x=0 the value on the y-axis is -8.

Also, the buoy bobs up 5 meters up so the maximum height reached by him is -3.

( Since -8+5=-3)

So, the sine function that will represent this situation is:

$f(x)=5\sin(\dfrac{\pi x}{32})-8$

Now, the graph of this situation is attached to the answer and the mid-line and the first and the second points on it are labelled.

You might be interested in

A rectangular tank that is 5324 ft cubed with a square base and open top is to be constructed of sheet steel of a given thicknes

marishachu [46]

Answer:

Side of 22 and height of 11

Step-by-step explanation:

Let s be the side of the square base and h be the height of the tank. Since the tank volume is restricted to 5324 ft cubed we have the following equation:

$V = s^2h = 5324$

$h = 5324 / s^2$

As the thickness is already defined, we can minimize the weight by minimizing the surface area of the tank

Base area with open top $s^2$

Side area 4sh

Total surface area $A = s^2 + 4sh$

We can substitute $h = 5324 / s^2$

$A = s^2 + 4s\frac{5324}{s^2}$

$A = s^2 + 21296/s$

To find the minimum of this function, we can take the first derivative, and set it to 0

$A' = 2s - 21296/s^2 = 0$

$2s = 21296/s^2$

$s^3 = 10648$

$s = \sqrt[3]{10648} = 22$

$h = 5324 / s^2 = 5324 / 22^2 = 11$

4 0

2 years ago

In the diagram, transversal t cuts across the parallel lines a and b. Match the pairs of angles with the relationship that shows

charle [14.2K]

we know that

case a) alternate exterior angles

m∠2=m∠7 --------> by alternate exterior angles

m∠1=m∠8 --------> by alternate exterior angles

case b) alternate interior angles

m∠3=m∠6 --------> by alternate interior angles

m∠5=m∠4 --------> by alternate interior angles

case c) corresponding angles

m∠1=m∠5 --------> by corresponding angles

m∠3=m∠7 --------> by corresponding angles

m∠2=m∠6 --------> by corresponding angles

m∠4=m∠8 --------> by corresponding angles

case d) vertical angles

m∠1=m∠4 --------> by vertical angles

m∠2=m∠3 --------> by vertical angles

m∠5=m∠8 --------> by vertical angles

m∠6=m∠7 --------> by vertical angles

therefore

the answer in the attached figure

5 0

2 years ago

louise bought 80 metres of fencing to make an enclosure for her pet dog .tommy if louise expects a rectangular enclosure what is

OleMash [197]

Answer:

400 m^2.

Step-by-step explanation:

The largest area is obtained where the enclosure is a square.

I think that's the right answer because a square is a special form of a rectangle.

So the square would be 20 * 20 = 400 m^2.

Proof:

Let the sides of the rectangle be x and y m long

The area A = xy.

Also the perimeter 2x + 2y = 80

x + y = 40

y = 40 - x.

So substituting for y in A = xy:-

A = x(40 - x)

A = 40x - x^2

For maximum value of A we find the derivative and equate it to 0:

derivative A' = 40 - 2x = 0

2x = 40

x = 20.

So y = 40 - x

= 40 - 20

=20

x and y are the same value so x = y.

Therefore for maximum area the rectangle is a square.

3 0

2 years ago

17. A local university accepted 2,300 students out of 4,500 applicants for admission. What was the acceptance rate, expressed as

Alona [7]

The answer is 51%
Because you have to divide 2,300/4500=0.51 which gives you 51%

3 0

2 years ago

3. Dr. Silas studies the culture of bacteria under a microscope. The function b1(t) = 1200 (1.8)^t represents the number of bact

Dominik [7]

Answer:

(a) the initial count of bacteria

(b) the growth factor (per hour)

(d) the difference in initial counts between the two studies

Step-by-step explanation:

(a) 1200 is b1(0), the initial count of bacteria.

(b) 1.8 is the growth factor per hour, the factor that multiplies the previous hour's count to get this hour's count.

(d) The difference between 1200 and 1000 means the first study started with 200 more bacteria than the second study did

3 0

2 years ago