A rock is dropped from a height of 100 feet. Calculate the time between when the rock was dropped and when it landed. If we choose "down" as positive and ignore air friction, the
function is h(t) = 16t^2 – 100.

A)t = 2.5 seconds

B)t = 6.25 seconds

C)t = 10 seconds

D)t = 12.5

Answer:

a)  0.905 (3 dp)

Step-by-step explanation:

Binomial distribution X ~ B(n, p)

where n is the the number of trials and p is the probability of success

Binomial formula:

[tex]P(X=x)=\left(\left\begin{array}{cc}n\\x\end{array}\right) \cdot p^x \cdot (1-p)^{n-x}[/tex]

Given:  X ~ B(100, 0.001)

Therefore, n = 100 and p = 0.001

Substituting these values into the binomial formula and solving for x = 0:

[tex]\implies P(X=0)=\dfrac{100!}{0!100!} \cdot 0.001^0 \cdot (1-0.001)^{100-0}[/tex]

[tex]\implies P(X=0)=1 \cdot 1 \cdot 0.999^{100}[/tex]

[tex]\implies P(X=0)=0.9047921471...[/tex]

[tex]\implies P(X=0)=0.905 \ \sf(3 \ dp)[/tex]

Answer:

#12=442

#13=560

#14=918

Step-by-step explanation:

26x17=442

28x20=560

27x34=918

Answer:

Step-by-step explanation:

I will answer only a few

12.) the area of a triangle is half its base times its height

[tex]\frac{1}{2} *17 * 26[/tex]

= 17 * 13

= 221

13.) 1/2 * 20 * 28

= 10 * 28

=280 cm^2

Answer:

The answer is

→ 1.5 or 10x = 15

Step-by-step explanation:

Since 10x + 6 = 21 and we supposed to find what 15 is, we would have to use these steps;

First subtract 6 on both sides

10x + 6 - 6 = 21 - 6

= 10x = 15

Another way I know the other answer is by multiplying 10 by 1.5 which equals 15.

Answer:

60 degrees

Step-by-step explanation:

well, angle x is on a line with a little square that means 90 degrees and a 30 degree angle, so you would simply add those two angles together 90+30=120 and then subtract by 180 because a straight line is always 180 degrees which is 180-120=60 degrees.

point grab lol

Answer: C

Step-by-step explanation:

Answer:

A:

18.5% 

B:

124 / 205

C:

75 / 113. 66.4% Strongest 

49 / 92. 53.2% Middle

38 / 81 46.9% Weakest

75  / 113 is the strongest because it has the highest percentage fore the  conditional relative frequencies. The others are weaker because they have as high of a percentage.

Step-by-step explanation:

The answers are shown below:

A conditional relative frequency compares a frequency count to the marginal total that represents the condition of interest.

a) Out of 205 people, 38 like neither, hence:

Percentage= 38/ 205 *100= 18.54%

b) Out of the 205 participants, 205 - 81 = 124 like hamburgers, hence:

= 124 / 205

=0.6049

c)The table is, dis considering the totals:

49 - 43

75 - 38

Due to the higher total, the data that has the strongest association of its two factors is liking hamburgers and not liking burritos.

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Answer:

Step-by-step explanation:

k (a+b) = k*a + k*b

so

7 (4-x) = 7*4 + 7*(-x) = 28 - 7x

Sorry but no speek English

Answer:

3 and 4

Step-by-step explanation:

3.5 ounces is 7/2 so if they eat the same amount they would both eat 3.5 ounces.

Answer:

5 in

Step-by-step explanation:

The area of a composite shape: area of the bigger shape - the area of the smaller shape.

In this case, the bigger shape is the shaded region, and the smaller shape is the unshaded region.

1) Shaded region (bigger shape): 2(area of a trapezium) + area of the rectangle.

Area of a trapezium: 1/2 x (a + b) x h, where a and b are parallel lines and h is the height. We have to times the answer by 2 because there are two trapeziums in the shaded region.

Area of a rectangle: l x w, where l is the length and w is the width.

Trapeziums

= 1/2 x (3 + 8) x 5.5 x 2

= 1/2 x 11 x 5.5 x 2

= 1/2 x 60.5 x 2

= 30.25 x 2

= 60.5

Rectangle

= 14 x 3

= 42

Area of the shaded region (bigger shape): trapezium + rectangle

= 60.5 + 42

= 102.5

2) Unshaded region (smaller shape):

Area of a trapezium: 1/2 x (a + b) x h, where a and be are the parallel lines.

= 1/2 x (14 + 25) x 5

= 1/2 x 39 x 5

= 1/2 x 195

= 97.5

3) Area of the bigger shape - the area of the smaller shape

= 102.5 - 97.5

= 5 in²

Answer:

125x^15

Step-by-step explanation:

Hope this helps! :)

Answer:

x = 41.16

Step-by-step explanation:

Answer:

x=41.2

Step-by-step explanation:

Assuming that the dotted line and the vertical line form a 90 degree angle, we can find the angle measurements of the triangle.

Since there is a 90 degree angle formed between the dotted line and the vertical line, subtracting 27 from 90 will get us the angle measure of one of the vertex of the triangle.

90-27=63 degrees

Now we can use trig. ratios to help us figure out the missing side.

tan(63)=x/21

x=tan(63)*21

x=41.21482062

x=41.2

Hope this helps!!!

Answer:

since it goes down a certain way and it goes down then B will go the same way as a evil ghost literally down to the phone the top right to the left like see if I just a little bit shorter Jay will go all the way up to age and we will go to k

Answer:

1. -3          2. y=-1

Step-by-step explanation:

Answer:

A) 15

B) 57

C) 7

D) 19

Step-by-step explanation:

a) 3x+y^2=

  Insert the values

   3(2) + 3^2

   6+9 (3^2 = 3 x 3 = 9)

    = 15

b) 3x^2+5y^2=

   Insert the values

   3(2)^2 + 5(3)^2

   3(2^2 = 2 x 2 = 4) + 5(3^2 = 3 x 3 = 9)

    3(4) + 5(9)

     12+ 45

    = 57

c) 2x+y

   insert the values

   2(2) + 3

    4 + 3

    = 7

d) 5y+x^2=

    Insert the values

    5(3)+ 2^2

     15 + (2^2 = 2x2 = 4)

      15+4

       = 19

Answer:

3.9

Step-by-step explanation:

Use the formula A = πr^2  (area of a circle = Pi times radius squared)

Plug in what we know:

48 = πr^2  (first, divide 48 by Pi = that would equal 15.27887 continued, round it to the nearest tenth and you would get 15.3)

15.3 = r^2 (now, we find the square root of 15.3, 3.9115 continued, round it to the nearest tenth, and it will be 3.9)

3.9 = radius

The radius of the circle (rounded to the nearest tenth) is 3.1.

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.

And the general formula of the circle,

(x – h)²+ (y - k)² = r²,

where (h, k) is the center and r is the radius of the circle.

The formula for the area of a circle is A = πr², where A is the area and r is the radius.

We can use this formula to solve for the radius of the circle with an area of 48:

A = πr²

48 = πr²

Dividing both sides by π gives:

r² = 48/π

Taking the square root of both sides gives:

r = √(48/π)

r ≈ 3.1

Therefore, r ≈ 3.1.

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Using a quadratic function, it is found that:

a) It hits the ground after 2 seconds.

b) Your friend's stick hits the ground 0.83 seconds later.

It is given by:

[tex]s(t) = -16t^2 + v(0)t + h(0)[/tex]

In which:

Item a:

Dropped at rest from a height of 64 feet, hence v(0) = 0, h(0) = 64, so the equation is:

[tex]s(t) = -16t^2 + 64[/tex]

It hits the ground when s(t) = 0, hence:

-16t^2 + 64 = 0

t^2 = 4

t = 2.

It hits the ground after 2 seconds.

Item b:

For your friend, we have that h(0) = 144, hence:

-16t^2 + 144 = 0

t^2 = 8.

t = 2.83.

2.83 - 2 = 0.83.

Your friend's stick hits the ground 0.83 seconds later.

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Answer:

1222 ft^2

Step-by-step explanation:

2(13x9) + 2(5x12) + 2(4.5x9) + 2(9x11) + 2(19x11) + (19x9)

Answer:

184

Step-by-step explanation:

80% of 230

0.8x230

8×23

=184

Answer:

nasa pic yung sagot

hope its help

Step-by-step explanation:

cos(81) = x/sqrt(7)

x = sqrt(7)×cos(81) = 0.413886691...

Answer:

1/[tex]\sqrt{2}[/tex] - 1/4

Step-by-step explanation:

We can write 2[tex]\sqrt{8}[/tex] as 2*[tex]\sqrt{4}[/tex]*[tex]\sqrt{2}[/tex]

That becomes 4[tex]\sqrt{2}[/tex], since the square root of 4 is 2 (±2, to be exact)

(4/(4[tex]\sqrt{2}[/tex])  - ( [tex]\sqrt{2}[/tex]/4[tex]\sqrt{2}[/tex])

1/[tex]\sqrt{2}[/tex] - 1/4

Answer:

y = -7x+3

Step-by-step explanation:

We can write the function as

y = (3-x) / 7

To find the inverse of this function we have to do 2 things

a. change x with y and y with x  and

b. find the y

a. y = (3-x) / 7, change x with y and y with x  

   x = (3-y) / 7, multiply both sides by 7

b.     7x = 3-y, subtract 3 from both sides

      7x-3 = -y, multiply both sides by -1

      -7x+3 = y

The inverse function of

f(x) = (3-x)/7  is [tex]f^{-1} (x) = -7x + 3[/tex]

Answer:

for cosine: 1, 0.97, 0.87, 0.71, 0.5, 0.26, 0..... for sine: 0, 0.26, 0.5, 0.71, 0.87, 0.97, 1.

Step-by-step explanation:

Calculator for Cos, reverse them for Sine.

Answer:

the answer is c

Step-by-step explanation:

y = 5x

as it says x + y = 10

so one number which is represented as x is times 5 as the other which brimg to our answer y =5x

Answer:

36:24

Step-by-step explanation:

The second number was :24, and you started out with 6:4.

To get the 24, you would have to multiply the 4 by 6 to get the 24.

So, multiply the first number 6, as well by 6.

6 x 6 = 36

36:24

:)

Answer: 36

Step-by-step explanation: 6:4 = __:24

1. 4 goes into 24, 6 times because 4x6=24 so you have to multiply 6 to 6 and 6x6=36.

Answer:

m = 4

Step-by-step explanation:

(80, 40) and (90, 80)

40/10= 4

Answer:

4

Step-by-step explanation:

choose two points

I chose (80,40) and (90,80)

(80-40)÷(90-80)

40/10

4

Answer:

1,750

Step-by-step explanation:

35x50 that's the entire process

The functions y = -4sin (x) and y = 4sin (x) has the given properties.Functions help to define the relationship between the independent and the dependent variable.

A expressions defining a connection between the independent variable and dependent variable is known as the functions.

A feature that:

The domain is defined as the set of all real numbers.

a single x-intercept

The amplitude is four.

The y-intercept is defined as (0,0)

Because the specified function goes through the functions having "cosine," the functions containing "cosine" can be omitted from the selections (0,0). As a result, we have two options:

Hence  y = -4sin (x) and y = 4sin (x) has the given properties.

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Answer:

A) y = -4sin(x)

Step-by-step explanation:

Just took the quiz on edge 2022

Answer:

Two methods both tell us the ball is at 20 feet height at 0.783 seconds going up and 1.28 seconds on the way down.

Step-by-step explanation:

The question can be answered by either calculation or by graphing.

Calculation:

Set the equation to h = 20 feet and solve with the quadratic equation.

h= 4 + 33t - 16t^2

4 + 33t - 16t^2 = 20

- 16t^2 + 33t + 4 = 20

- 16t^2 + 33t - 16 = 0

I find solutions of 0.779 and 1.28 seconds.  

Graphing:

See the attached graph.

The graph shows solutions of 0.783 and 1.28 seconds.

Both methods show the ball to be at 20 feet height at 0.783 seconds going up and 1.28 seconds on the way down.

Answer:

45

Step-by-step explanation: