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3 years ago

What are the differences between the centers and spreads of these

Mathematics

2 answers:

Marina86 [1]3 years ago

7 0

Answer : A and D

Not sure

Step-by-step explanation:

jeyben [28]3 years ago

7 0

Answer: A and B

Step-by-step explanation:

just read it. it’ll make sense. #common sense. APE.X

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The curve given by x=sin(t),y=sin(t+sin(t)) has two tangent lines at the point (x,y)=(0,0). List both of them in order of increa

SOVA2 [1]

Answer:

y = 0

y =2x

Step-by-step explanation:

Given parametric equations:

x (t) = sin (t)

y (t) = sin (t + sin (t))

The slope of the curve at any given point is given by dy / dx we will use chain rule to find dy / dx

(dy / dx) * (dx / dt) = (dy / dt)

(dy / dx) = (dy / dt) / (dx / dt)

Evaluate dx / dt and dy / dt

dx / dt = cos (t)

dy / dt = cos (t + sin (t)) * (1+cos (t))

Hence,

dy / dx = (1+cos(t))*cos(t + sin (t))) / cos (t)

@Given point (x,y) = 0 we evaluate t

0 = sin (t)

t = 0 , pi

Input two values of t and compute dy / dx

@ t = 0

dy / dx = (1 + cos (0))*cos (0 + sin (0))) / cos (0)

dy / dx = (1+1)*(1) / (1) = 2 @ t = 0

@t = pi

dy / dx = ( 1 + cos (pi))* cos (pi + sin (pi)) / cos (pi)

dy / dx = (1-1) * (-1) / (-1) = 0 @ t = pi

The corresponding gradients are 0 and 2 in increasing order and their respective equations are:

y = 2x

y = 0

5 0

3 years ago

All students = 700

Sedaia [141]

Answer:

See below

Step-by-step explanation:

Given:

Total number = 700
Off grid class = 450
Online class = 320
Both = 275

Based on the given we find the following

1) Off-grid class only:

450 - 275 = 175

3) Online class only:

320 - 275 = 45

2) None of the classes:

700 - (175 + 275 + 45) = 205

4) Not online:

700 - 320 = 380

5) Not off-grid:

700 - 450 = 250

7 0

2 years ago

Austin keeps a right conical basin for the birds in his garden as represented in the diagram. The basin is 40 centimeters deep,

Lina20 [59]

The shortest distance between the tip of the cone and its rim exits 51.11cm.

<h3>What is the shortest distance between the tip of the cone and its rim?</h3>

If you draw a line along the middle of the cone, you'd finish up with two right triangles and the line even bisects the angle between the sloping sides. The shortest distance between the tip of the cone and its rim exists in the hypotenuse of a right triangle with one angle calculating 38.5°. So, utilizing trigonometry and allowing x as the measurement of the shortest distance between the tip of the cone and its rim.

Cos 38.5 = 40 / x

Solving the value of x, we get

Multiply both sides by x

$$\cos \left(38.5^{\circ}\right) x=\frac{40}{x} x$

$$\cos \left(38.5^{\circ}\right) x=40$

Divide both sides by $\cos \left(38.5^{\circ}\right)$

$$\frac{\cos \left(38.5^{\circ}\right) x}{\cos \left(38.5^{\circ}\right)}=\frac{40}{\cos \left(38.5^{\circ}\right)}$

simplifying the above equation, we get

$$x=\frac{40}{\cos \left(38.5^{\circ}\right)}$

x = 51.11cm

The shortest distance between the tip of the cone and its rim exits 51.11cm.

To learn more about right triangles refer to:

brainly.com/question/12111621

#SPJ9

7 0

1 year ago

Read 2 more answers

I need help with this

den301095 [7]

the answer is C $40

Just add up all the numbers and pick the choice closest to what you get

4 0

3 years ago

16 - 2t = 5t + 9 What number does t represent? I'm bored

seraphim [82]

Try not to be bored. You can take the attitude that you actually like math, and that you will some day actually be a MathGenius.

t represents an unknown quantity defined by the equation 16 - 2t = 5t + 9.

To find this value, do the following: Add 2t to both sides, and then subtract 9 from both sides. You'll end up with 7t = 7, which yields t = 1.

We call this the "solution" of the equation given.

8 0

3 years ago

Read 2 more answers