Identify the independent and dependent variables for the function described below.
The equation W = 0.02x2 +0.5x gives the stopping distance, W, in feet on a wet
road when driving at a speed of x miles per hour.
Stopping distance, W
1. Independent
Speed, x
2. Dependent

Answer:

A dice of six faces has 5 numbers bigger than 1 (from 2 to 6).

Then, the number Peter is expecting is : 114 x (5/6) = 95 (times)

Hope this helps!

:)

Answer:

c - (4, ∞)

Step-by-step explanation:

answer on edg

Answer:

Answer is choice C .   (4, ∞)

Step-by-step explanation:

on edge

Answer:

h) (x+4t²)/4= 3V

x+4t²= 4*3V

x+4t²=12V

x=12V-4t²

MN=√(3x-2)

(MN)²=3x-2

3x-2=(MN)²

3x=(MN)²+2

x= [(MN)²+2]/3

Answer:

168 ft below sea level, or -168

Step-by-step explanation:

28 feet per minute

28 * 6 = 168

Answer:

168

Step-by-step explanation:

Answer:

7.8287

Step-by-step explanation:

Sin(34)=x/14

14 x Sin(34)

Answer:

Step-by-step explanation:

Opposite side of the angle 34  is x & hypotenuse which is opposite to 90 is 14

\(Sin \ 34 = \dfrac{Opposite \ side}{hypotenuse}\\\\0.56 = \dfrac{x}{14}\\\\\\0.56*14=x\)

x = 7.84

c) Mode: 15 (appears 6 times)

Mean: 15.25

Median: 15

d) Probability of being 13 years old: 2/20 = 0.1 or 10%

e) Probability of being 14 or 16 years old: 6/20 = 0.3 or 30%

f) Probability of not having 15 years old: 1 - (6/20) = 14/20 = 0.7 or 70%

a) To create a table and calculate the absolute frequency, relative frequency, and percentual frequency, we organize the given ages in ascending order:

13 13 14 14 15 15 15 15 15 16 16 17 17 17 18 18

Age Absolute Frequency Relative Frequency Percentual Frequency

13 2 2/16 12.5%

14 2 2/16 12.5%

15 5 5/16 31.25%

16 2 2/16 12.5%

17 3 3/16 18.75%

18 2 2/16 12.5%

b) To represent the data graphically with a histogram, we plot the ages on the x-axis and the absolute frequency on the y-axis:

c) To calculate the mode, mean, and median:

Mode: The mode is the most frequently occurring age in the dataset. In this case, the mode is 15, as it appears 5 times.

Mean: The mean is the average of all the ages. To calculate it, we sum up all the ages and divide by the total number of ages:

(13 + 13 + 14 + 14 + 15 + 15 + 15 + 15 + 15 + 16 + 16 + 17 + 17 + 17 + 18 + 18) / 20 = 306 / 20 = 15.3

Median: The median is the middle value in the dataset when arranged in ascending order. In this case, the median is 15 since it falls in the middle.

d) To calculate the probability of having 13 years old, we divide the absolute frequency of 13 (2) by the total number of ages (20):

Probability of 13 years old = 2/20 = 0.1 or 10%

e) To calculate the probability of having 14 or 16 years old, we add the absolute frequencies of 14 and 16 (2 + 2 = 4) and divide by the total number of ages (20):

Probability of 14 or 16 years old = 4/20 = 0.2 or 20%

f) To calculate the probability of not having 15 years old, we subtract the absolute frequency of 15 (5) from the total number of ages (20):

Probability of not having 15 years old = (20 - 5)/20 = 0.75 or 75%

for such more question on Probability

https://brainly.com/question/13604758

#SPJ8

Let's assume x represents the number of glasses of skim milk and y represents the number of quarter-pound servings of lean meat.

We have the following information:

1 glass of skim milk supplies 0.1 mg of iron and 8.6 g of protein.

1 quarter pound of lean meat provides 3.5 mg of iron and 24 g of protein.

The person on a special diet needs 7.5 mg of iron and 91.0 g of protein.

We can set up the following system of equations based on the given information:

0.1x + 3.5y = 7.5 (for iron)

8.6x + 24y = 91.0 (for protein)

To solve this system of equations, we can use the method of substitution or elimination. Let's use the method of substitution:

From the first equation, we can solve for x in terms of y:

0.1x = 7.5 - 3.5y

x = (7.5 - 3.5y) / 0.1

Substituting this value of x into the second equation, we get:

8.6[(7.5 - 3.5y) / 0.1] + 24y = 91.0

Simplifying:

86(7.5 - 3.5y) + 240y = 910

Expanding and rearranging:

645 - 301y + 240y = 910

-61y = 265

y = -265 / 61

y ≈ -4.34

Since the number of servings cannot be negative, we can conclude that y ≈ 4.34.

Substituting this value of y back into the equation for x:

x = (7.5 - 3.5(4.34)) / 0.1

x = (7.5 - 15.19) / 0.1

x ≈ -76.9 / 0.1

x ≈ -769

Again, the number of glasses cannot be negative, so x ≈ 769.

Since we cannot have fractional servings, we can round the values to the nearest whole number:

Approximately, 769 glasses of skim milk and 4 servings of quarter-pound lean meat will provide 7.5 mg of iron and 91.0 g of protein for the person on the special diet.

ok

1) -2.5, 0.11111...., 1/4, 5 4/5, sqrt51, sqrt 100

2) Using simplification,

-2.5 is smallest because its negative, and no other number is negative. 0.11111 is the second smallest

1/4 is 0.25, and the third smallest

5 4/5 is 5.8 and is the third biggest

sqrt of 51 is around 7.14, so its second largest

lastly, sqrt 100 is 10, making it the largest

3)  10-(-2.5)=12.5

Answer:

3. f(3) = 16

4. h(3) = 4

Step-by-step explanation:

3.

f(x) = x² + 7

f(3) = 3² + 7

f(3) = 16

4.

h(x) = 12/x

h(3) = 12/3

h(3) = 4

The extremas of the function f(x) = x³ - 7x² + 10x are given as follows:

More can be learned about extremas of a function at https://brainly.com/question/9839310

#SPJ1

Answer:

2/5.

Step-by-step explanation:

To find the denominator, you add all of the times the experiment has been done.

6 + 9 = 15.

Then, since they're asking about purple shirts, you put that as the numerator.

Making it 6/15.

To simplify, divide both sides by 3, making it 2/5 simplified.

The solution is, 2/5 is the experimental probability that the next shirt sold will be purple.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

To find the denominator, you add all of the times the experiment has been done.

6 + 9 = 15.

Then, since they're asking about purple shirts, you put that as the numerator.

Making it 6/15.

To simplify, divide both sides by 3, making it 2/5 simplified.

Hence, The solution is, 2/5 is the experimental probability that the next shirt sold will be purple.

To learn more on probability click:

brainly.com/question/11234923

#SPJ3

Answer:

25 million on some jewlery that you put on you head

Step-by-step explanation:

Answer:

$52.5

Step-by-step explanation:

given

P=$50  R=0.05  T=1

I=PRT

I=50×0.05×1

I=$2.5

50+2.5=$52.5

Answer:

The first one

Step-by-step explanation:

She cant buy anything over $15, but she can buy something thats $15 :))

Answer:5

Step-by-step explanation:

5098

Answer:

-1  13/18

Step-by-step explanation:

Step-by-step explanation:

10hour is less than or equal to two discount

The volume of Joe chocolate box is 48in³

1. Volume of Joe chocolate box

Given the following dimensions:

length = 6in

height = 2in

width = 4in

Recall that,

Volume = length x width x height

Volume = 6 in x 4 in x 2 in

Volume = 48in³

2. Gift paper to wrap rectangular gift box

To calculate the amount of gift paper required to wrap the rectangular box, we need to find the surface area of the box.

Recall that,

Surface Area = 2(length x width) + 2(length x height) + 2(width x height)

Surface Area = 2(15 in x 10 in) + 2(15 in x 8 in) + 2(10 in x 8 in)

Surface Area = 300 in² + 240 in² + 160 in²

Surface Area = 700in²

3. Quantity of pasta served to Olivia

To find the quantity of pasta served to Olivia, we need to calculate the volume of the rectangular prism lunch box.

The volume of a rectangular prism can be calculated by multiplying its length, width, and height.

Given the dimensions of the lunch box, we have:

Volume = Length x Width x Height

Volume = 5 in x 4 in x 3 in

Volume = 60in³

Therefore, the quantity of pasta served to Olivia is 60in³

Learn more about Volume here:

https://brainly.com/question/27710307

#SPJ1

The distance between the fire and station B is 10.7miles

The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.

The angle at A = 90- 35

= 55°

The angle at B = 90-49

= 41°

Angle at the fire = 180-(41+55)

= 180-96 = 84°

Using sine rule

sin84/13 = sin55/x

xsin84 = 13sin55

0.995x = 10.65

x = 10.65/0.995

x = 10.7 miles

Therefore the distance between the fire and station B is 10.7 miles.

learn more about sine rule from

https://brainly.com/question/27174058

#SPJ1

The term "100 points" usually indicates a high level of achievement or success in a particular area.

The term "100 points" can refer to a number of different things depending on the context. For example, in sports, it could refer to a team scoring 100 points in a game.

In wine tasting, it could refer to a perfect score given to a wine by a critic or judge. In school, it could refer to receiving a perfect score on an exam or assignment worth 100 points.

It's important to note that while a perfect score of 100 points is often seen as the ultimate goal, it's not always necessary or even possible in some situations. In many cases, simply doing your best and striving for improvement is enough to be considered successful.

To learn more about : points

https://brainly.com/question/23848540

#SPJ8

The correct answer to this question is Option (4).

Answer:

D.

Step-by-step explanation:

EDG 2022

The employer will charge $55 for 5 hours

The first step is to calculate the amount charged for an hour

22= 2

x= 1

cross multiply

2x= 22

x= 22/2

x= 11

The amount charged for 5 hours can be calculated as follows

11= 1

y= 5

cross multiply

y= 55

Hence $55 will be charged for 5 hours

Read more on hours here

https://brainly.com/question/11283824

#SPJ1

Answer:

9(x + 19)

Step-by-step explanation:

Product is a multiplication key word where you'll usually always put parenthesis when multiplying, and where the keyword sum comes you'd add x and 12 for your equation :)

The average rate of change over is 1.

Given that;

the function is,

⇒ g (t) = - (t - 1)² + 5

Hence, We need to determine the average rate of change over the interval - 4 ≤ t ≤ 5.

The value of G(-4):

The value of G(-4) can be determined by substituting t = -4 in the function

⇒ g (t) = - (t - 1)² + 5

Thus, we have,

⇒ g (t) = - (-4 - 1)² + 5

⇒ g (t) = - 20

Thus, the value of G(-4) = -20

The value of G(5):

The value of G(5) can be determined by substituting t = 5 in the function , we get,

⇒ g (t) = - (t - 1)² + 5

⇒ g (t) = - (5 - 1)² + 5

⇒ g (t) = - 11

Thus, the value of G(5) is, -11

Now, Average rate of change:

The average rate of change can be determined using the formula,

⇒ G(b) - G (a) / (b - a)

where, a = - 4 and b = 5

Substituting the values, we get,

⇒ G(5) - G (-4) / (5 - (-4))

⇒ ( - 11 - (- 20)) / 9

⇒ 9/9

⇒ 1

Thus, the average rate of change over the interval is. 1.

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ1

The value of g(h(10)) is 2√2. the correct option is A.

Given that the functions are g(x)=√x-4 and h(x)=2x-8.

A function is defined as the relationship between a set of inputs where each input has an output.

Firstly, we will find the value of h(10) by substituting x=10 in the function h(x)=2x-8.

h(10)=2(10)-8

h(10)=20-8

h(10)=12

Now, we will find g(h(10)) where h(10)=12.

By substituting h(10)=12 in g(h(10)), we get

g(h(10))=g(12).

Further, we will find g(12) by substituting x=12 in the function g(x)=√x-4, we get

g(12)=√(12-4)

g(12)=√8

g(12)=2√2

Hence, the value of function g(h(10)) when g(x)=√x-4 and h(x)=2x-8 is 2√2.

Learn more about the function from here brainly.com/question/24160317.

#SPJ9

Answer:

I think absolute value

Step-by-step explanation:

One divided by anything is that same number

EX.

1/100=100

But if the number is negative it would still be that number just in negative form.

Ex.

1/(-3)= -3

Can I get Brainlest if you found this answer helpful

[NRAA]

One- (number)+th

eg- one tenth

one eighth

[xArtsy]

The expression that models the number of people attending concert 1 is given as follows:

512/6.

The number of people attending concert 1 is obtained applying the proportions in the context of the problem.

From the bar model, the fractions corresponding to each concert are given as follows:

The total number of people is given as follows:

512.

Hence the expression that models the number of people attending concert 1 is given as follows:

512/6.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Yes a triangle can be formed with these values

triangle is a three-sided polygon that consists of three edges and three vertices. The most important property of a triangle is that the sum of the internal angles of a triangle is equal to 180 degrees. This property is called angle sum property of triangle

A triangle can only be formed if the sum of the two shorter sides is greater than the longer side.

From the given values the shorter lengths are 6 and 9

so if we sum 6 + 9 = 15

And 15 > 12, which means the values can form a triangle.

In conclusion the given values 6, 9 and 12 can form a triangle.

Learn more about triangles: https://brainly.com/question/21735282

#SPJ1

When a distribution has three or more peaks then it is said to be a multimodal distribution .

In histograms, there are often three types of distributions which are classified according to the number of peaks that they have . A unimodal distribution would be a histogram that has a single peak in its distribution .

Then there are binomial distributions which boast of having two peaks , Then finally, there is the multimodal distribution which is for all distributions with either three peaks, or more than that .

Find out more on distributions at https://brainly.com/question/13244416

#SPJ1

The correct option is B .solution of given problem with the help of integrating the given function is 3xLn3

The area under a curve in a given range can be calculated mathematically via integration. To locate the region between the curve and the x-axis, it is necessary to find a function's antiderivative and evaluate it twice.

A function is a rule that gives each input value a distinct output value. It can be compared to a machine that processes inputs into outputs in accordance with a predetermined rule or formula.

To find f'(x), we need to take the derivative of f(x), where f(x) is the antiderivative of k(x).

Since k(x) = 3x, we can find f(x) by integrating 3x with respect to x:

f(x) = ∫ 3x dx = 3/2 x² + C

where C is a constant of integration.

Now we can find f'(x) by taking the derivative of f(x):

f'(x) = d/dx (3/2 x² + C) = 3x

Therefore, the answer is (B) 3xLn3. Option (A) is incorrect because there is no natural logarithm term in the derivative of f(x). Option (C) is incorrect because the derivative of 3x is 3, not 3/Ln(x). Option (D) is incorrect because there is no x in the denominator of the natural logarithm term.

To know more about integration Visit:

brainly.com/question/31433890

#SPJ1