A stone is dropped from the upper observation deck of a tower, 600 m above the ground. (Assume g = 9.8 m/s2.) (a) Find the distance (in meters) of the stone above ground level at time t. (b) How long does it take the stone to reach the ground? (Round your answer to two decimal places.) (c) With what velocity does it strike the ground? (Round your answer to one decimal place.) Remember that velocity requires direction. (d) If the stone is thrown downward with a speed of 7 m/s, how long does it take to reach the ground? (Round your answer to two decimal places.)

Answer:

4/25 = 0.16

Step-by-step explanation:

The shortest stick must be between 0 and 5/3.  The probability that it is longer than 1 is therefore:

(5/3 − 1) / (5/3 − 0)

(2/3) / (5/3)

2/5

So the probability that both of the shortest sticks are longer than 1 is (2/5)² = 4/25.

Answer:

Option (C)

Step-by-step explanation:

Given formula of a line passing through [tex](x_1, y_1)[/tex] and slope 'm' is,

[tex]y-y_1=m(x-x_1)[/tex]

Further solving this equation,

[tex]y-y_1=mx-mx_1[/tex] [By distributive property]

[tex]y-y_1+mx_1=(mx-mx_1)+mx_1[/tex] [By adding [tex]mx_1[/tex] on both the sides]

[tex]y-y_1+mx_1=mx[/tex]

[tex]\frac{y-y_1-mx_1}{m}=\frac{mx}{m}[/tex] [Divide the equation by m]

[tex]\frac{y-y_1}{m}-x_1=x[/tex]

Therefore, Option (C) will be the answer.

Answer:

A.) Mean = 237.9

B.) Median = 240

C.) Mode = 199

D.) Midrange = 239.5

Step-by-step explanation:

The given data are :

293 255 264 240 190 295 199 184 293 205 199

The mean = (sum of X) / f

Where frequency f = 11

X = 293 + 255 + 264 + 240 + 190 + 295 + 199 + 184 + 293 + 205 + 199

X = 2617

Substitute X and f into the formula

Mean = 2617/11

Mean = 237.9 approximately

B.) To get the median, you need to first rearrange the data, then pick the middle number.

184 190 199 199 205 240 255 264 293 293 295

The median = 240

C.) The mode is the highest frequency. That is the most occuring number

Mode = the two most occuring numbers are 199 and 293

D.) Range = highest number - lowest number

But midrange = (highest number + lowest number ) ÷ 2

Highest number = 295

Lowest number = 184

Substitute into the formula

Midrange = (295 + 184)/2

Midrange = 479/2

Midrange = 239.5

Answer:

4096/15,625

Step-by-step explanation:

The reason is because the power is distributed individually within the fraction. Since the fraction is already fully simplified, 4096/15625 multiplied by itself is also simplified.

Thus the answer is 4096/15,625 = (4^6)/(5^6)

Answer:

Total possible outcomes = 6×6 = 36

a) P(5) = 1/9

b) P(11) = 1/18

c) P(two and six) = 1/36

Step-by-step explanation:

A black die and a white die are thrown at the same  time.

Each die has six sides so total possible outcomes are

Total possible outcomes = 6×6 = 36

The possible outcomes are given below:

(1, 1)  (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)

(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)

(3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)

(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)

(5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)

(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)

a) Find the  probability of obtaining a total of 5

Number of ways to get a total of 5 = (1, 4) (2, 3) (3, 2) (4, 1)

Number of ways to get a total of 5 = 4

The probability is given by

P = Number of desired outcomes/total number of outcomes

P(5) = 4/36

P(5) = 1/9

b) Find the  probability of obtaining a total of 11

Number of ways to get a total of 11 = (5, 6) (6, 5)

Number of ways to get a total of 11 = 2

The probability is given by

P(11) = 2/36

P(11) = 1/18

c) a 'two' on the black die and a six' on the white die.

There is only one way to get a two on the black die.

Probability of obtaining a two on the black die = 1/6

There is only one way to get a six on the white die.

Probability of obtaining a six on the white die = 1/6

P(two and six) = 1/6×1/6

P(two and six) = 1/36

Answer: 2

Step-by-step explanation:

Answer:

2...........

Step-by-step explanation:

1 + 1 = 2............

Answer:

The most helpful function in an attempt to determine the time it takes for the dolphin to re-enter is h(x) = 2·(x - 1)·(x - 4)·(x - 6)

Step-by-step explanation:

For 2·x²·(x - 11) + 4·(17·x - 12)

h(5) = 2×5^2×(5 - 11) + 4×(17×5 - 12) = -8

For the function h(x) = 2·x·(x² - 11·x + 34) -48 we have;

h(5) = 2×5×(5^2 - 11×5 + 34) -48 = -8

For the function h(x) = 2·(x - 1)·(x - 4)·(x - 6) we have;

h(5) = 2×(5 - 1)×(5 - 4)×(5 - 6) = -8

For the function h(x) = 2·x³ - 22·x² + 68·x -48 we have;

h(5) = 2×5^3 - 22×5^2 + 68× 5  - 48 = -8

Given that the values of the function are all equal at x = 5, the function that will be most helpful in determining the time it takes for the dolphin to re-enter the sea after leaping out of the water is the function that is already factorized

Thereby where the value of the function h(x) at which the dolphin re-enters the the sea is h(x) = 0, we have the function h(x) = 2·(x - 1)·(x - 4)·(x - 6), readily gives the time values, x, as x = 1 second or 4 second or 6 second, therefore, the most helpful function is h(x) = 2·(x - 1)·(x - 4)·(x - 6).

Answer:

-5z^3-z^4+4z^5

Answer:

[tex]10\sqrt{2[/tex]y²

Step-by-step explanation:

So I am not sure if the root is only on 200, but if it is not, please comment, and I will add to it.

Answer:

James has 8 cousins

Step-by-step explanation:

Bryan =5

Jane =Bryan + 11=5+11=16 ( Bryan has 11 cousins less than Jane)

James: 1/2 Jane=16/2=8 cousins ( Jane has twice as James)

Answer:

32 inches by 64 inches

Step-by-step explanation:

Since the generic television is [tex]\frac{3}{8}[/tex] the size of the brand name.

Then the brand name is [tex]\frac{8}{3}[/tex] the size of the generic, thus

[tex]\frac{8}{3}[/tex] × 12 = 32

[tex]\frac{8}{3}[/tex] × 24 = 64

Thus dimensions are 32 inches by 64 inches

Answer:

The dimensions are 32 inches by 64 inches

Use the law of cosines to solve for side g.

g^2 = e^2 + f^2 - 2*e*f*cos(G)

g^2 = 10^2 + 8^2 - 2*10*8*cos(57)

g^2 = 76.85775 ... make sure your calc is in degree mode

g = sqrt(76.85775)

g = 8.766855

g = 8.8

Answer:

196 cm²-153.9375 cm² = 42.0625 cm ²

Step-by-step explanation:

First, solve for the whole 14^2 = 196 cm²

Now, we know it's lenths are the same so it's a square.

Lastly we need to deduct the quarter circle in the square. Use Formula A=πr² = A≈615.75 cm² /4 = 153.9375 cm²

Answer:

A box plot should be used in a situation when you need the median and quartiles.  A dot plot should be used when you need exact numbers.  The strengths of a box plot is that it shows a big data sets into a rounded form.  The strengths of a data set is that you can show the exact numbers but it would work best with small numbers.

Hope this helped?

Answer:

Again the domain consists of the pre-images and the range the images.

When we are looking for the f(x) we just look at the number it is pointing to in the range (when we have a diagram), and when we are looking for x when f(x)=y we look at the number that has a line pointed to y.

So the f(4)=

f(x)=4 when x is 8

Answer:

The correct option is;

B) The highest point of the mountain defined by the function is 16

Step-by-step explanation:

From the given information, we have;

The distance in feet from the edge of the mountain is given as the independent variable, x

The distance in feet from the ground (which is the height) is given the as the dependent variable f(x)

Therefore, given that the point (12, 16) are the values of x and f(x) such that x = 12 and f(x) = 16 and 16 is the largest value of f(x) in the data, therefore, 16 represents the highest defined point of the mountain.

Answer:

5

Step-by-step explanation:

To find the points for each question, you must divide the number of points (200) by the number of questions (40) to get the number of points for each question

[tex]\frac{200}{40}[/tex]

Divide 200 by 40 to get

[tex]\frac{5}{1}[/tex] or [tex]5[/tex]

Hope this helps. If you have any follow-up questions, feel free to ask.

Have a great day!

Answer:

5 points

Step-by-step explanation:

200points / 40 questions = 5points/1question

then:

1 questión worths 5 points

Answer:

supplementary

Step-by-step explanation:

Since a and b form a straight line, they will add to 180 degrees

Two angles that add to 180 degrees are supplementary angles

Answer:

Below

Step-by-step explanation:

● cos O = 2/3

We khow that:

● cos^2(O) + sin^2(O) =1

So : sin^2 (O)= 1-cos^2(O)

● sin^2(O) = 1 -(2/3)^2 = 1-4/9 = 9/9-4/9 = 5/9

● sin O = √(5)/3 or sin O = -√(5)/3

So we deduce that tan O will have two values since we don't khow the size of O.

■■■■■■■■■■■■■■■■■■■■■■■■■

●Tan (O) = sin(O)/cos(O)

● tan (O) = (√(5)/3)÷(2/3) or tan(O) = (-√(5)/3)÷(2/3)

● tan (O) = √(5)/2 or tan(O) = -√(5)/2

Answer:

1. In a situation were we are willing to use 90% confidence, this means we could say that the observed difference that we have in the sample means tend to represents a real difference in the population means.

2. We cannot actually say because even with 95% confidence, that is the observed difference in sample means tend to as well represents a real difference in the population means.

3. Because the interval extends further in the positive direction than the negative direction this means that the evidence suggests that species #1 tend to weighs more than species #2 on average, but we can't actually say for sure.

Step-by-step explanation:

The following are what I will conclude about based on the information given in the question.

1. In a situation were we are willing to use 90% confidence, this means we could say that the observed difference that we have in the sample means tend to represents a real difference in the population means.

2. We cannot actually say because even with 95% confidence, that is the observed difference in sample means tend to as well represents a real difference in the population means.

3. Because the interval extends further in the positive direction than the negative direction this means that the evidence suggests that species #1 tend to weighs more than species #2 on average, but we can't actually say for sure.

Answer:

A. [tex] 3 {}^{9} [/tex]

Step-by-step explanation:

[tex]3 {}^{4} \times {3}^{5} = {3}^{4 + 5} = 3 {}^{9} [/tex]

Hope this helps ;) ❤❤❤

Answer:

[tex]\boxed{3^9}[/tex]

Step-by-step explanation:

[tex]3^5 \times 3^4[/tex]

Apply the law of exponents : [tex]a^b \times a^c = a^{b+c}[/tex]

The exponent product rule states that, when multiplying two exponents that have the same base, you can add the exponents.

[tex]3^{5+4}[/tex]

[tex]3^9[/tex]

Answer:

Interior = 60°

Exterior = 120°

Step-by-step explanation:

A triangle has 180° in total.

We have 2 angles, 70 and 50

70 + 50 = 120

For Angle U, we do 180-120 = 60

So the interior angle is 60°

A line is straight and is 180°

With angle U being 60°, and being on a straight line, 180-60 = 120

So exterior angle is 120°

Answer:

The measure of the exterior angle is 120 degrees.

The measure of the interior angle is 60

Step-by-step explanation:

To find the missing exterior angle, we need the adjacent angle measurement first. To do this, we add up all the interior angles and get 120 degrees. We need to subtract this from 180 in order to get the missing interior which is 60. Now, we subtract 60 from 180 to get the exterior angle since it is a supplementary angle. Hope this helped!

Answer:

1040

Step-by-step explanation:

Answer: The number is 1040.

Step-by-step explanation:

The question says 12.5% of a number is 130 so we can represent it by the equation.

12.5% * x = 130   where x is the number.Solve for x

12.5% * x = 130   convert 12.5% to a decimal

0.125 * x = 130

0.125x = 130   Divide both sides by 0.125

x= 1040  

Check.  

1040 * 12.5% = 130

Answer:

B. y= -x^2 + 50x - 300

Step-by-step explanation:

Options given

A. y^2=4x^2 - 100

B. y= -x^2 + 50x - 300

C. x= -y^2 - 400

D. x^2= -6y^2 + 200

We are to find profits (y) function in thousands of dollars if the company sells x items.

We will use elimination method to eliminate the wrong options above in order to find the correct answer

Option A. y^2= 4x^2 - 100 is used to find the square of the profit function

Option B. y= -x^2 + 50x - 300 is used to calculate profit (y) function

Option C. x= -y^2 - 400 is for the calculation of the items x sold

Option D. x^2= -6y^2 + 200 is to find items x sold squared.

Since, we are required to find the profit (y) function, option A, C and D will be eliminated.

We are left with option B which is the correct answer to the question.

The weekly profits (y) function in thousands of dollars when the company sells x items is

B. y= -x^2 + 50x - 300

Answer:

B.

Step-by-step explanation:

I just took the quiz on edge

Answer:

The answer is a

Step-by-step explanation:

my brother is very smart

Answer:

36 in²

Step-by-step explanation:

The figure that is been described is a Parallelogram.

The area of a Parallelogram is = Base × Height

From the question, the Height of the Parallelogram = 4 inches

The Base of the Parallelogram is calculated as the Length or base of the rectangle + base of the triangle

= 5 inches + 4 inches

= 9 inches

Area of the Parallelogram = 9 inches × 4 inches

= 36 square inches or 36 in²

Answer:

20 INCHES SQUARED

Step-by-step explanation:

Answer:

The new shape will be cone with a radius of 17 units, tilt height 24 and units of height k.

Step-by-step explanation:

The image related to the exercise is necessary, to be able to solve therefore the attached one.

We have the following information:

Perimeter of the triangle = 58 units

Hypotenuse = 24 units

We have that the other two sides are equal and have x units, therefore we have the following:

x + x + 24 = 58

2 * x = 58-24

2 * x = 34

x = 34/2

x = 17

Now the triangle rotates around line k , and then it will result in a cone, which is a three-dimensional shape.

Therefore, the new shape will be cone with a radius of 17 units, tilt height 24 and units of height k.

Answer:

Cone with a radius of 17 units