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Who was the first Math teacher to use Pi?

Answer:63

Step-by-step explanation:

Answer:

The maximum height of the ball is 256m

Step-by-step explanation:

Given the equation of a pathway modelled as pathway can be modeled by h = -16t² + 128t

At maximum height, the velocity of the ball is zero.

velocity = dh/dt

velocity = -32t + 128

Since v = 0 at maximum height

0 = -32t+128

32t = 128

t = 128/32

t = 4seconds

The maximum height can be gotten by substituting t = 4 into the modelled equation.

h = -16t² + 128t

h = -16(4)²+128(4)

h = -16(16)+512

h = -256+512

h = 256m

The maximum height of the ball is 256m.

Since the equation should be [tex]h = -16t^2 + 128t[/tex]

Also we know that at the maximum height, the velocity of the ball should be zero

So,

[tex]velocity = dh/dt[/tex]

velocity = -32t + 128

Now

0 = -32t+128

32t = 128

t = 4seconds

Now

[tex]h = -16t^2 + 128t\\\\h = -16(4)^2+128(4)[/tex]

h = -16(16)+512

h = -256+512

h = 256m

hence, The maximum height of the ball is 256m.

Learn more about height here: https://brainly.com/question/21551182

Answer:

  an = (5/16)2^(n -1)

Step-by-step explanation:

The explicit formula for the n-th term of a geometric sequence is ...

  an = a1·r^(n-1)

Filling in the given values, we get two equations in a1 and r:

  a5 = 5 = a1·r^(5 -1)

  a9 = 80 = a1·r(9 -1)

Dividing the second equation by the first gives ...

  80/5 = (a1·r^8)/(a1·r^4)

  16 = r^4

  2 = r . . . . . . . . because we know 2^4 = 16. You could also solve using logarithms

Then we can find a1 from ...

  5 = a1·r^4 = 16·a1

  5/16 = a1

The explicit formula is ...

  an = (5/16)2^(n -1)

__

The above formula matches the form of the equation usually expected. However, we can make the fraction go away by adjusting the exponent:

  an = 5(2^-4)(2^(n-1))

  an = 5·2^(n -5)

Answer:

60

Step-by-step explanation:

Answer:

[tex]\frac{26}{100}[/tex]

Step-by-step explanation:

[tex]\frac{6}{100}[/tex] can stay untouched, but [tex]\frac{2}{10}[/tex] has to be changed to [tex]\frac{20}{100}[/tex]. Now that they have they have the same denominator, you can add them. [tex]\frac{6}{100} + \frac{20}{100} = \frac{26}{100}[/tex], which can be simplified, which is [tex]\frac{13}{50}[/tex].

Answer:

13/50

Step-by-step explanation:

6/100 + ¹⁰⁾2/10 =

6/100 + 20/100

(6 + 20)/100

26⁽²/100

13/50

Answer:

Angle 5

Step-by-step explanation:

Adjacent angles share a common side and a common vertex.

Answer:

The other guy is correct except for question five.

If your question is "Use summation notation to write the series 2+4+6+8+... for 10 terms. In each of these images, the lower limit of the summation notation is either "n=1" or "n=0".

The answer should be 10∑n=1 (2n) not (n+2)

The correct option is (C) it converges it has a sum.

An infinite geometric series is an infinite series whose successive terms have a common ratio. This is easily proven by using an infinite geometric series. This series would have no last term. The general form of the infinite geometric series is[tex]a + a r + a r^ 2 + a r ^3 +...[/tex]+ ..., where [tex]a[/tex] is the first term and [tex]r[/tex] is the common ratio.

We can find the sum of all finite geometric series.

Given series can be written as;

[tex]\frac{1}{5}+\frac{1}{10}+\frac{1}{20}+\frac{1}{40}+..... \\ a=\frac{1}{5} \\ r=\frac{1}{2} \\ \Rightarrow \frac{a}{1-r}=\frac{1/5}{1-1/2} \\[/tex]

           [tex]=\frac{2}{5}[/tex]

Therefore, [tex]\frac{2}{5}[/tex] is infinite, so it converges.

Learn more about the topic Infinite Geometric Series: https://brainly.com/question/12213123

Answer:

Step-by-step explanation:

when you break a vector into its parts, those parts are called its components. For example, in the vector (4, 1), the x-axis (horizontal) component is 4, and the y-axis (vertical) component is 1. Typically, a physics problem gives you an angle and a magnitude to define a vector; you have to find the components yourself using a little trigonometry.

Suppose you know that a ball is rolling on a flat table at 15 degrees from a direction parallel to the bottom edge at a speed of 7.0 meters/second. You may want to find out how long the ball will take to roll off the edge 1.0 meter to the right.

Define your axes so the ball is at the origin initially and the x-axis is parallel to the bottom edge of the table (refer to the figure). Therefore, the problem breaks down to finding out how long the ball will take to roll 1.0 meter in the x direction. To find the time, you first need to know how fast the ball is moving in the x direction.

The problem tells you that the ball is rolling at a speed of 7.0 meters/second at 15 degrees to the horizontal (along the positive x-axis), which is a vector: 7.0 meters/second at 15 degrees gives you both a magnitude and a direction. What you have here is a velocity — the vector version of speed. The ball’s speed is the magnitude of its velocity vector, and when you include a direction to that speed, you get the velocity vector v.

To find out how fast the ball is traveling toward the table edge, you need not the ball’s total speed but the x component of the ball’s velocity. The x component is a scalar (a number, not a vector), and you write it like this: vx. The y component of the ball’s velocity vector is vy. Therefore, you can say that

v = (vx, vy)

That’s how you express breaking a vector up into its components. So what’s vx here? And for that matter, what’s vy, the y component of the velocity? The vector has a length (7.0 meters/second) and a direction

And you know that the edge of the table is 1.0 meter to the right.

As you can see in the figure, you have to use some trigonometry to resolve this vector into its components. No sweat. The trig is easy after you get down the angles you see in the figure.

The magnitude of a vector v is expressed as v, and from the figure, you can see that the following is true:

The two vector-component equations are worth knowing because you see them a lot in any beginning physics course. Make sure you know how they work, and always have them at your fingertips.

Of course, if you forget these equations, you can always retrieve them from basic trigonometry. You may remember that the sine and cosine of an angle in a right triangle are defined as the ratio of the opposite side and the adjacent side to the hypotenuse, like so:

By multiplying both sides of these equations by v, you can express the x and y components of the vector as

You can go further by relating each side of the triangle to each other side (and if you know that

you can derive all these from the previous two equations as required; no need to memorize all these):

You know that

so you can find the x component of the ball’s velocity, vx, this way:

Plugging in the numbers gives you

You now know that the ball is traveling at 6.8 meters/second to the right. And because you also know that the table’s edge is 1.0 meter away, you can divide distance by speed to get the time:

Because you know how fast the ball is going in the x direction, you now know the answer to the problem: The ball will take 0.15 seconds to fall off the edge of the table. What about the y component of the velocity? That’s easy to find, too:

Answer:

x = 100

Step-by-step explanation:

[tex]57 \degree + (x + 23) \degree = 180 \degree..(straight \: line \: \angle s) \\ (x + 80) \degree = 180 \degree \\ x + 80 = 180 \\ x = 180 - 80 \\ \huge \red{ \boxed{x = 100}}[/tex]

Answer:

x = 100°

Step-by-step explanation:

57° + 23° = 80°

180° - 80° = 100°

look at my previous answer to another person who posted this same question if you want a more detailed version

[tex]5 \frac{2}{3} + 2 \frac{1}{5} = 7 \frac{13}{15} [/tex]

Step-by-step explanation:

[tex]5 \frac{2}{3} + 2 \frac{1}{5} \\ = \frac{17}{3} + \frac{11}{5} \\ = \frac{17 \times 5}{3 \times 5} + \frac{11 \times 3}{5 \times 3} \\ = \frac{85}{15} + \frac{33}{15} \\ = \frac{118}{15} \\ = 7 \frac{13}{15} [/tex]

So, the value is 7 13/15

Hope it helpful and useful :)

Answer: The answer is 7 13/15 in fraction

Step-by-step explanation:

Answer:

The answer to your question would be 4 (positive) because the yellow tiles represent one. Since there are 4 yellow tiles the answer would be 4.

The four yellow tiles in the model of the equation represent 4x.

In the given equation, we have 3 long x tiles and 4 square 1 tiles on the left side of the equation. These represent 3x and 4 respectively.

On the right side of the equation, we have 2 negative 2 tiles. These represent -2 and are shown as negative tiles in the model.

The yellow tiles specifically represent the term 4x, which means we have 4 instances of x.

So, in this equation, the four yellow tiles represent the term 4x, which means we have 4 instances of x.

look at the attached picture ⤴

Hope it will help u...

Answer:

5

Step-by-step explanation:

Since we know that c is equal to 7, we can substitute 7 in for c in the expression

c-2

Substitute 7 in for c, because c=7

7-2

Subtract

5

Answer:

V =1236.4 ft^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

The radius is d/2 =15/2 = 7.5

V = 3.14 (7.5)^2 * 7

V = 1236.375

Rounding to the nearest tenth

V =1236.4 ft^3

Answer:

-8

Step-by-step explanation:

When we subtract a negative it is like adding

-13 + 5

The signs are different so we subtract and take the sign of the larger

13 -5

8

The 13 is larger so we take its sign, which is negative

-8

Answer:

-8

Step-by-step explanation:

-13 - (-5)

-13 + 5

-8

Answer: 320 m²

Step-by-step explanation:

10m × 8m× 4m = 320

i don't know if the formula is the same in english cause im french but i learned it with the formula long side ×wide side×deep side

Answer:

3d^2 + 12d

Step-by-step explanation:

You just have to expand like since there are two d's then is would be squared. Anything outside the () gets multiplied by the whole equation.

Answer:

3d²+12d

Step-by-step explanation:

(3d x d) + (3d x 4)

Answer:

Step-by-step explanation:

The problem is about meters and seconds, because the graph shows the relation of the distance and the time used by an object.

It's important to know that the time doesn't depends on anything, that means, it's always an independent variable. And the distance always depends on the time, because depending on the time you are moving, you will cover more distance.

Therefore, the answers are:

Answer:

B) The two variables are meters and seconds.

D) Meters are graphed on the y-axis.

E) Seconds is the independent variable.

Step-by-step explanation:

Answer:

x (-11/2,0) y (0, 11)

Step-by-step explanation:

Answer:

I think that the answer is y=(1/2)(2)(3)

Step-by-step explanation:

to find it you use 1/2 BH it worked for your problem too

Answer:

y-1=2(x-2)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

v = 2.5 or 5/2

3 + 2 x - 1/4 = 5/2

5/2 = 2.5

Answer:

6mm or A

Step-by-step explanation:

Answer:

its indeed A i got it right :D

Step-by-step explanation:

Answer:

x = 0, 9/25

Step-by-step explanation:

25x² = 9x

25x² - 9x = 0

x(25x - 9) = 0

x = 0

25x - 9 = 0

x = 9/25

9514 1404 393

Answer:

  D)  15

Step-by-step explanation:

The Pythagorean theorem is helpful.

  17² = 8² + ?²

  289 = 64 + ?²

  225 = ?²

  √225 = ? = 15

The diameter is 15.

Answer:

y=2

Step-by-step explanation:

y= 2x - 2

Let x =2

y = 2(2)-2

y = 4-2

y = 2

Final answer:

To find the value of y when x equals 2 in the equation y = 2x - 2, we substitute 2 for x, giving us y = 4 - 2, which simplifies to y = 2.

Explanation:

The student asks for the value of y when x is equal to 2 in the equation y = 2x - 2. To find the value of y, we replace x with 2 in the equation and solve for y.

So we get:

y = 2(2) - 2

y = 4 - 2

y = 2

Therefore, the value of y when x equals 2 in the given equation is 2.

Answer:

[tex]\huge\boxed{C.\ f(x)=(x-6)(x+4)}[/tex]

Step-by-step explanation:

[tex]\text{If}\ x_1\ \text{and}\ x_2\ \text{are the zeros of quadratic function}\ f(x)=ax^2+bx+c,\\\\\text{then we can convert}\ f(x)\ \text{to the form}\ f(x)=a(x-x_1)(x-x_2).\\\\\text{We have the zeros}\ x_1=6\ \text{and}\ x_2=-4.\\\\\text{Substitute:}\\\\f(x)=a(x-6)(x-(-4))=a(x-6)(x+4)\\\\\text{For}\ a=1\ \text{we have answer}\ C.\ f(x)=(x-6)(x+4)[/tex]

Answer:

x=3 ??i think

Step-by-step explanation:

cuz it makes sense like that

Answer:

1/5 probability

Step-by-step explanation:

1) The total number of jelly beans is 20. This will be your denominator.

2) There are 4 red jelly beans. This is your numerator.

3) Using the numerator and denominator we have, your fraction is 4/20.

4) That can be simplified into 1/5.