100 Points

3. In the image below, the m

Answer:

120 miles

Step-by-step explanation:

200/5 = 40 miles per hour

3 hours = 40*3 = 120 miles

PLS GIVE BRAINLIEST

Answer:

\(y = - \frac{7}{5} x + 59\)

The required key features of \(g(x) = x^{2}\) including domain is (-∞, ∞) (i.e. all real values), range = [0,∞), x-intercept = (0,0), y-intercept = (0,0), interval of increasing = (0,∞) and interval of decreasing = (-∞, 0)

What is a quadratic function?

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function.

The graphs of quadratic functions are frequently curved or nonlinear. A parabola, a kind of U-shaped curve, is the particular type of curve that makes up the graph of a quadratic function.

Given, \(g(x) = x^{2}\)

The graph of the given function is given below:

From the graph,

Domain = (-∞, ∞) (i.e. all real values)

Range = [0,∞)

x-intercept = (0,0)

y-intercept = (0,0)

Interval of increasing = (0,∞)

Interval of decreasing = (-∞, 0)

Hence, these are the required key features of  \(g(x) = x^{2}\).

To learn more about quadratic function

https://brainly.com/question/1531590

#SPJ13

A leaking faucet in the S&E building lab, dripping at a rate of one drop per second, will result in a water loss of approximately 4,725 liters in one year.

To calculate the amount of water lost in one year, we need to determine the number of drops per year and then convert it to liters. Since the faucet drips at a rate of one drop per second, there are 60 drops in a minute (60 seconds), which totals to 3,600 drops in an hour (60 minutes).

In a day, there would be 86,400 drops (24 hours * 3,600 drops). Considering a year of 365 days, the total number of drops would be approximately 31,536,000 drops (86,400 drops * 365 days). To convert the number of drops to liters, we need to multiply the total number of drops by the volume of each drop.

Given that each drop contains 0.150 milliliters, we convert it to liters by dividing by 1,000, resulting in 0.00015 liters per drop. Multiplying the total number of drops by the volume per drop, we find that the total water loss is approximately 4,725 liters (31,536,000 drops * 0.00015 liters/drop).

Therefore, in one year, the leaking faucet in the S&E building lab would result in a water loss of approximately 4,725 liters.

Learn more about milliliters here:

https://brainly.com/question/20320379

#SPJ11

Answer:

Here is the graph of the equation and its inverse.

The inverse is the purple graph.

Explanation:

• The base of the equation is 8.

• There is no vertical shift to the graph because there's no constant added to the function f(x) = 8^x.

• In addition, there is no horizontal shift to the graph because there's no constant added to the exponent x.

Answer:

1. c 44

2. d 6

3. c 48

4. d. 107/1500

5. c. 19.50 pounds

6. a. 40

7. a. $113630

8. c. 217.06 poundspoundspounds

9. c. 1400

10. a. 48

Step-by-step explanation:

Answer:

1. To find the amount of gravel needed, we need to determine the fraction of the total mixture that represents gravel. The ratio of gravel to the total mixture is 4/(9+4+6) = 4/19. To find the amount of gravel for 209 cubic meters of patio, we multiply 209 by the fraction: 209 * (4/19) = 44.

Answer: c. 44

2. The ratio of girls to boys is 2:1, which means for every 2 girls, there is 1 boy. Since there are 3 boys, we can find the number of girls by multiplying 3 by 2: 3 * 2 = 6.

Answer: d. 6

3. The ratio of grapes to walnuts to oranges is 6:6:12, which simplifies to 1:1:2. The total number of fruits is 192, so we can divide it equally among the parts of the ratio: 192 / (1+1+2) = 192 / 4 = 48.

Answer: c. 48

4. To find the amount Tanya gets paid per square foot, we divide the total payment ($107.00) by the area of the building (1500 square feet): $107.00 / 1500 = $0.0713 per square foot (rounded to four decimal places).

Answer: The correct operation is not provided in the options. The answer is approximately $0.0713 per square foot.

5. The weight of the aluminum bar is proportional to its length. We can set up a proportion to find the weight of the 3 feet 3 inches long bar: (24 pounds) / (4 feet) = x / (3 feet + 3/12 feet). Solving for x, we get x = (24 pounds) * (3 feet + 3/12 feet) / (4 feet) = 29.54 pounds.

Answer: a. 29.54 pounds

6. The snail moves 5 inches in 6 minutes. To find how many inches it moves in 48 hours, we can set up a proportion: 5 inches / 6 minutes = x inches / (48 hours * 60 minutes per hour). Solving for x, we get x = (5 inches * (48 hours * 60 minutes per hour)) / 6 minutes = 240 inches = 20 feet.

Answer: a. 40

7. If the real estate agent receives 11 percent of the selling price, the amount the agent makes is 11 percent of $1,033,000: 0.11 * $1,033,000 = $113,630.

Answer: a. $113,630

8. Since both Dan and Evan have the same height/weight ratio, we can set up a proportion: (Dan's weight) / (Dan's height) = (Evan's weight) / (Evan's height). Solving for Evan's weight, we get Evan's weight = (Dan's weight) / (Dan's height) * (Evan's height) = (205 pounds) / (5 feet 8 inches) * (6 feet) ≈ 217.06 pounds.

Answer: c. 217.06 pounds

9. The ore contains 9 percent gold, which means that for every 100 tons of ore, there are 9 tons of gold. To obtain 126 tons of gold, we can set up a proportion: 9 tons / 100 tons = 126 tons / x tons. Solving for x, we get x = (100 tons * 126 tons) / 9 tons = 1400 tons.

Answer: c. 1400

10. If the catch of 4 bears, of which 2 are tagged, is representative, we can set up a proportion: (2 tagged bears) / (24 total bears) = (2 tagged bears) / (x total bears). Solving for x, we get x = (24 total bears) / (2 tagged bears) * (2 tagged bears) = 24.

Answer: b. 12

Step-by-step explanation:

Answer:

I know the answer but you may select me as Brainliest

The average method provides more accurate forecasts than the naive method.

The method using the average of all the historical data appears to provide more accurate forecasts for the historical data.

This can be seen by looking at the measures of forecast accuracy, specifically, the Mean Absolute Error (MAE), Mean Squared Error (MSE), and Mean Absolute Percentage Error (MAPE).

The MAE for the naive method is 3.40, and for the average method, it is 2.08.

The MSE for the naive method is 13.00, and for the average method, it is 7.23.

The MAPE for the naive method is 23.43%, and for the average method, it is 15.27%.

As these values are lower for the average method, this indicates that it is providing more accurate forecasts than the naive method.

To know more about Mean Absolute Percentage Error click here:

https://brainly.com/question/4170313

#SPJ11

Answer:

Option 3 ) 18x - 9 = 72

Step-by-step explanation:

Algebraic equations:

  \(\sf \dfrac{3}{5}(30x - 15) = 72\\\\\\\)

Multiply each term of (30x - 15) by 3/5,

    \(\sf \dfrac{3}{5}*30x - \dfrac{3}{5}*15=72\\\\\\3*6x - 3*3 = 72\\\\18x - 9 = 72\)

The given equation is same as 18x - 9 = 72

Answer:

10

Step-by-step explanation:

best guess ever

Answer:

1st row = 10 = y

2nd row = 12 = y

3rd row = 18 = y

4th row = 22 = y

Step-by-step explanation:

Given:

y = 4x + 6

since the y-intercept is 6, we know that when the input value(x) is equal to 0, the output value(y) is equal to 6.

so now we plug in the equation for each row,

starting with the first one.

in the first row it says x is equal to 1 so the equation would look like this:

y = 4(1) + 6

simplified the equation to get

y = 4 + 6  = 10

meaning for the first row, y = 10!

since the x value is constant, and only goes up by 1 each row, this means we can just add 4 more each time.

However, I am going to write the equation for each row anyways.

Second row:

y = 4(2) + 6

simplifys into

y = 8 + 6   =  12

y = 12

Third row:

y = 4(3) + 6

simplifys into

y = 12 + 6 = 18

y = 18

Fourth row:

y = 4(4) + 6

simplifys into

y = 16 + 6 = 22

y = 22

So to recap, the answers to each row are...

1st row = 10 = y

2nd row = 12 = y

3rd row = 18 = y

4th row = 22 = y

I hoped this helped and have a good day :D!!!

The 5 Practices for Orchestrating Productive Mathematics Discussions is a framework for leading effective classroom discussions in mathematics. These practices were developed by Mary Kay Stein and her colleagues.

Anticipating: Teachers consider what students might do or say during the lesson and how they will respond.

Monitoring: Teachers keep track of student thinking and work during the lesson and use this information to guide instruction.

Selecting: Teachers choose which student ideas to highlight and pursue during the lesson.

Sequencing: Teachers plan and adjust the order in which student ideas are presented and discussed to maximize learning.

Connecting: Teachers help students connect and make sense of the mathematical ideas being discussed and link them to previous and future learning.

By using these practices, teachers can create a safe and supportive learning environment where students are encouraged to share their ideas and reasoning, and where meaningful mathematical discourse is promoted.

Learn more about Mathematics here:

https://brainly.com/question/27235369

#SPJ11

The sum of the two forces, A and B, can be found using both graphical and component methods. In the graphical method, the parallelogram rule is used to determine the measured length (magnitude) and measured direction of the resultant force. In the component method, equations 3.3 and 3.4 are employed to calculate the magnitude and direction analytically.

To find the sum of forces A and B using the graphical method, we use the parallelogram rule. First, draw a vector representing force A with a length of 4 cm (100 g divided by the scale of 25 g/cm). Then, draw a vector representing force B with a length of 8 cm (200 g divided by the scale). The vectors are drawn starting from the same point. Complete the parallelogram by drawing the remaining sides. The diagonal of the parallelogram represents the resultant force, R. Measure the length of the diagonal, which gives the magnitude of R, and the angle it makes with the horizontal axis gives the direction.

For the component method, we break down forces A and B into their horizontal and vertical components using trigonometry. Force A can be split into Ax and Ay, where Ax = 100 g cos(30∘) and Ay = 100 g sin(30∘). Similarly, force B can be split into Bx = 200 g cos(120∘) and By = 200 g sin(120∘). To find the resultant force R, add the horizontal components Ax and Bx, and add the vertical components Ay and By. The magnitude of R can be calculated using the equation √(Rx^2 + Ry^2), where Rx is the sum of Ax and Bx, and Ry is the sum of Ay and By. The direction of R can be determined using the equation tan^(-1)(Ry/Rx).

In conclusion, the graphical method involves constructing a parallelogram to find the magnitude and direction of the resultant force, while the component method breaks down the forces into their horizontal and vertical components and calculates the magnitude and direction analytically using trigonometry.

Learn more about vector here:

https://brainly.com/question/24256726

#SPJ11

To determine whether there is enough evidence to reject the null hypothesis, we need to compare the computed test statistic to the critical value.

In this case, the computed test statistic is 2.50 and the critical value is 2.33. If the computed test statistic falls in the rejection region beyond the critical value, we can reject the null hypothesis. Conversely, if the computed test statistic falls within the non-rejection region, we fail to reject the null hypothesis.In this scenario, since the computed test statistic (2.50) is greater than the critical value (2.33), it falls in the rejection region. This means that the observed data is unlikely to occur if the null hypothesis were true.

Therefore, based on the given information, there is enough evidence for the emergency room nurse to reject the null hypothesis. This suggests that there is sufficient evidence to support the claim that the average number of cases of upper respiratory infections per day at the hospital is over 21 cases.

Learn more about statistic here

https://brainly.com/question/15525560

#SPJ11

There is enough evidence to reject the null hypothesis in this case because the computed test statistic (2.50) is higher than the critical value (2.33). This suggests the average number of daily respiratory infections exceeds 21, providing substantial evidence against the null hypothesis.

Yes, there is enough evidence for the emergency room nurse to reject the null hypothesis. The null hypothesis is typically a claim of no difference or no effect. In this case, the null hypothesis would be an average of 21 upper respiratory infections per day. The test statistic computed (2.50) exceeds the critical value (2.33). This suggests that the average daily cases indeed exceed 21, hence providing enough evidence to reject the null hypothesis.

It's crucial to understand that when the test statistic is larger than the critical value, we reject the null hypothesis because the observed sample is inconsistent with the null hypothesis. The statistical test indicated a significant difference, upheld by the test statistic value of 2.50. The significance level (alpha) of 0.05 is a commonly used threshold for significance in scientific studies. In this context, the finding suggests that the increase in respiratory infection cases is statistically significant, and the null hypothesis can be rejected.

https://brainly.com/question/32386318

#SPJ11

The new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees are approximately (4.993, 2.048).

To find the new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees, we can use the rotation formula:

x' = x * cos(theta) - y * sin(theta)

y' = x * sin(theta) + y * cos(theta)

Where (x, y) are the original coordinates, (x', y') are the new coordinates after rotation, and theta is the angle of rotation in radians.

Converting the angle of rotation from degrees to radians:

theta = 5 degrees * (pi/180) ≈ 0.08727 radians

Plugging in the values into the rotation formula:

x' = 5 * cos(0.08727) - 2 * sin(0.08727)

y' = 5 * sin(0.08727) + 2 * cos(0.08727)

Evaluating the trigonometric functions and simplifying:

x' ≈ 4.993

y' ≈ 2.048

KLnow more about coordinates here;

https://brainly.com/question/32836021

#SPJ11

The formula to calculate the average rate of change between two points is given to be:

The two points A and B in the question have the coordinates:

Therefore, the average rate of change is calculated as follows:

Hence, the correct option is OPTION D.

Answer:

24

Step-by-step explanation:

The area of the figure created by Brianna is  \(33\frac{3}{4}\) square feet.

Explain area in mathematics.

Area is a mathematical concept that expresses the size of a region on a planar or curved surface. The area of an open surface or the boundary of a three-dimensional object is referred to as the surface area or, it can be simply defined as the total amount of space occupied by a flat (2-D) surface or an object's shape.

Solution Explained:

A square with a side of 4 1/2 feet and two parallelograms with bases of 4 1/2 feet and heights of 1 1/2 feet make up the figure.

Therefore, the total area of the figure is
Area of Square + 2 X Area of Parallelogram
= (side)^2 + 2(b X h)
= (4 1/2)^2 + 2(4 1/2 X 1 1/2)
= 81/4 + 27/2    
=  135/4
= \(33\frac{3}{4}\) square feet

Area of the figure is \(33\frac{3}{4}\) square feet.

To learn more about Area, use the link given
https://brainly.com/question/16519513
#SPJ1

Answer:

4

Step-by-step explanation:

Attached to this answer is an image with the work on how to find the number of sign changes in the polynomial.

If this answer helped you, please leave a thanks or a Brainliest!!!

Have a GREAT day!!!

Yes, f(v)=3/4secvtanv f(0)=5 satisfies the given condition.

The condition given is that f(0)=5. Substituting v=0 in the given function f(v)=3/4secvtanv, we get f(0)=3/4sec0tan0=3/4x1x0=0. Hence, the given function does not satisfy the condition f(0)=5.

Therefore, the given function f(v)=3/4secvtanv f(0) =5 does not satisfy the given condition.
We need to determine if the function f(v) = 3/4sec(v)tan(v) and f(0) = 5 satisfy the given condition.


First, let's evaluate f(0) to see if it equals 5.

f(0) = (3/4)sec(0)tan(0)


We know that sec(0) = 1/cos(0) = 1 and tan(0) = sin(0)/cos(0) = 0. Now, we will substitute these values into the equation.

f(0) = (3/4)(1)(0) = 0


Since f(0) = 0, which is not equal to 5, the function f(v) = 3/4sec(v)tan(v) and f(0) = 5 do not satisfy the given condition.

To learn more about function visit:

https://brainly.com/question/12431044

#SPJ11

Answer:

I think it’s 4/n and 4 divided by n. Sorry if it’s wrong!

Step-by-step explanation:

René Descartes provided the first systematic link between Euclidean geometry and algebra.

This branch of mathematics involves the study of object shape, their spatial relationship and that of their surrounding space.

René Descartes is referred to as the father of analytic geometry due to him establishing the relationship between Euclidean geometry and algebra.

Read more about Geometry here https://brainly.com/question/20303542

#SPJ1

Answer:

15 units

Step-by-step explanation:

The particular solution is:
yp(t) = -sin(4t)

To find a particular solution to the given differential equation y'' + 16y = -16 sin(4t), we will use the method of undetermined coefficients.

First, we will guess the form of the particular solution. Since the right-hand side is a sinusoidal function, our guess for the particular solution will be in the form:

yp(t) = A sin(4t) + B cos(4t)

Next, we need to find the first and second derivatives of yp(t):

yp'(t) = 4A cos(4t) - 4B sin(4t)
yp''(t) = -16A sin(4t) - 16B cos(4t)

Now, we will plug yp(t) and its derivatives into the given differential equation:

-16A sin(4t) - 16B cos(4t) + 16(A sin(4t) + B cos(4t)) = -16 sin(4t)

Simplify the equation:

16B cos(4t) = -16 sin(4t)

Now we can solve for the coefficients A and B:

B = 0 (since there is no cos(4t) term on the right-hand side)
A = -1 (since the coefficient of sin(4t) is -16)

So the particular solution is:

yp(t) = -sin(4t)

To learn more about sinusoidal function, refer below:

https://brainly.com/question/12060967

#SPJ11

In a binomial distribution, the number of ways of arranging all trials to be failures is 1. This means that there is only one way to have all trials result in failures, as each trial can only have one possible outcome - a failure.

1. In a binomial distribution, each trial can result in either a success or a failure. Let's assume that there are n trials in total.

2. To arrange all trials to be failures, we need to ensure that no trial results in a success. Therefore, for each trial, there is only one possible outcome - a failure.

3. The number of ways of arranging all trials to be failures can be calculated using combinations. In this case, we need to select 0 successes from n trials. The number of ways to do this is given by the combination formula: C(n, 0) = 1, where C represents the combination.

Therefore, the number of ways of arranging all trials to be failures in a binomial distribution is given by the combination formula, C(n, k) = n! / (k! * (n-k)!).

To know more about binomial distribution visit:

https://brainly.com/question/29137961

#SPJ11

The number of ways of arranging all trials to be failures in a binomial distribution is always 1. This is because there is only one way to have no successes in a set of trials.

Regardless of the number of trials or the probability of success, the number of ways of arranging all trials to be failures in a binomial distribution is always 1.

The number of ways of arranging all trials to be failures in a binomial distribution can be determined using the formula for the binomial coefficient.
The binomial coefficient, often denoted as nCk or n choose k, represents the number of ways to choose k items from a set of n items, without considering their order. In the context of a binomial distribution, n represents the total number of trials and k represents the number of successes (in this case, 0).
To find the number of ways of arranging all trials to be failures, we can use the binomial coefficient formula:
nCk = n! / (k!(n-k)!)
In this case, since we want all trials to be failures, k is equal to 0. Thus, the formula simplifies to:
nC0 = n! / (0!(n-0)!) = n! / (0! * n!) = 1

For example, if we have 5 trials and we want all of them to be failures, there is only one possible arrangement: FFFFF, where F represents a failure.

Learn more about probability from the given link:

https://brainly.com/question/13604758

#SPJ11

Answer:

C.  30(-2)= -60 is the correct answer

Step-by-step explanation: