3. a truck is traveling at a constant speed. its distance, d, in miles after + hours is represented by the equation d=451. how long does it take the truck to travel 18 miles?

Answer:

all you have to do it go to 44 and 52 so ur answer is b and d

Step-by-step explanation:

The range of the function f(x) = 3x² + 18x is y ≥ -27

From the question, we have the following parameters that can be used in our computation:

f(x) = 3x^2 + 18x

Rewrite the function properly

So, we have the following representation

f(x) = 3x² + 18x

Differentiate

f'(x) = 6x + 18

Set the differentiated function o 0

6x + 18 = 0

So, we have

6x = -18

Divide by 6

x = -3

Substitute x = -3 in f(x) = 3x² + 18x

f(-3) = 3(-3)² + 18(-3)

Evaluate

f(-3) = -27

The leading coefficient is positive

So, the vertex is minimum

This means that the range is y ≥ -27

Read more about quadratic functions at

brainly.com/question/1480401

#SPJ1

Both Mathew and James are exerting the same amount of force, which is 400 newtons.

Force is a measure of the interaction between two objects and is expressed in newtons (N). In this case, both Mathew and James are exerting a force of 400 newtons. The weight of the sled and the tree stump, both weighing 200 lbs, does not affect the force exerted by Mathew and James.

The weight of an object is the force exerted on it due to gravity. In this context, the weight of the sled and the tree stump is the same, 200 lbs. However, when comparing forces, we consider the amount of force applied by an individual, which is independent of the weight of the object being pushed or lifted.

Therefore, Mathew and James are exerting the same amount of force, which is 400 newtons.

To know more about force, refer here:

https://brainly.com/question/13191643#

#SPJ4

Creating a discussion question, evaluating prospective solutions, and brainstorming and evaluating possible solutions are steps in problem-solving.

What is problem-solving?

Problem-solving is the method of examining, analyzing, and then resolving a difficult issue or situation to reach an effective solution.

Problem-solving usually requires identifying and defining a problem, considering alternative solutions, and picking the best option based on certain criteria.

Below are the steps in problem-solving:

Step 1: Define the Problem

Step 2: Identify the Root Cause of the Problem

Step 3: Develop Alternative Solutions

Step 4: Evaluate and Choose Solutions

Step 5: Implement the Chosen Solution

Step 6: Monitor Progress and Follow-up on the Solution.

Let us know more about problem-solving : https://brainly.com/question/31606357.

#SPJ11

The water tower is approximately 49.31 feet tall.

To determine the height of water tower, we can use the ratio of the height of the man and his shadow to the height of the tower and its shadow. Let's call the height of the water tower "h". We know that the ratio of the man's height to his shadow is 6 ft/3.6 ft = 1.67. So, the ratio of the water tower's height to its shadow is h/29.3.

If we set the two ratios equal to each other, we get:

1.67 = h/29.3

Solving for h, we get:

h = 49.31 ft

So, the water tower is approximately 49.31 feet tall.

You can learn more about measuring height at

https://brainly.com/question/28835783

#SPJ4

Answer:

x = 5 and -5

Step-by-step explanation:

5\(x^{2}\) = 125

5\((5^{2})\)

5(25)

125

5\((-5)^{2}\)

5(25)

125

Same answer when x = 5 an d when x = -5

Answer:

vibrations

Step-by-step explanation:

The Frequency Distribution table is shown below.

The proportion of one event's frequency to all events' frequencies in a statistical experiment.

Divide the frequency by the total number of data values to obtain the relative frequency. Add all of the earlier relative frequencies to the relative frequency for the current row to obtain the cumulative relative frequency.

Given:

The Frequency Distribution table is as follow:

Bin                           Frequency     relative Frequency        Cumulative        

                                                                                                Frequency

0- 5000                        4                    4/25 x 100 = 16%            4

5000 - 10000               7                    7/25 x 100 = 28%           4+7 = 13

10000- 15000               7                    7/25 x 100 = 28%            13+ 7= 20

15000 -20000              4                    4/25 x 100 = 16%            20+4= 24

20000-25000              3                    3/25 x 100 = 12%              24+3= 27

Learn more about Relative Frequency here:

https://brainly.com/question/29739263

#SPJ1

Answer:

y = x + 5

Step-by-step explanation:

Using a coordinate plane, you can simply plot the points! I included the one that I used if you need it.

Use RISE/RUN to find the slope, and wherever the line hits the y-axis is the y-intercept!

I hope this helps!! Have a nice day c;

A graph of the solution to this inequality 3x ≤ 18 is: graph D.

In Mathematics, an inequality simply refers to a mathematical relation that is typically used for comparing two or more numerical data and variables in an algebraic equation based on any of the following inequality symbols:

Next, we would divide both sides of the inequality by 3 as follows;

3x ≤ 18

x ≤ 18/3

x ≤ 6.

In this exercise, we would use an online graphing calculator to plot the given inequality 3x ≤ 18 as shown on the number line attached below.

Read more on inequality here: brainly.com/question/27976143

#SPJ1

The equation w = (8x²- 2y)/y is equivalent to w. The correct answer would be option (B).

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The equation is given in the question, as follows:

w = 8x²/y - 2

We have to find an equivalent equation to w.

As per the question, we have

w = 8x²/y - 2

Take LCM on the right side of the above equation,

w = (8x²- 2y)/y

This equation w = (8x²- 2y)/y is equivalent to w.

Thus, the correct answer would be an option (B).

Learn more about the equation here:

brainly.com/question/13947055

#SPJ7

The complete question is attached below.

∠g and ∠h are complementary angles and ∠g and ∠h are acute angles are true statements from the given information

Two angles are given.

∠g = (2x-90)°

∠h = (180-2x)°

We have to find the statement which is true about the angles g and h.

If both angles are greater than zero.

Complementary angles add up to 90 degrees

i.e., ∠g and ∠h are complementary if ∠g + ∠h = 90°.

Substituting the given values:

∠g + ∠h

= (2x-90)° + (180-2x)° = 90°

Thus, ∠g and ∠h are complementary angles.

and both the angles are less than 90 degrees so we can tell that angles ∠g and ∠h  are acute.

So the statement ∠g and ∠h are acute angles is also true

Hence, ∠g and ∠h are complementary angles and ∠g and ∠h are acute angles are true statements

To learn more on Angles click:

https://brainly.com/question/28451077

#SPJ1

Answer:

  4.  (d)

  5.  (b)

Step-by-step explanation:

You want to apply the secant and chord rules to the circles given in the diagram.

The secant rule is "the product of distances from the point of intersection of secants to the two points of intersection of the secant with the circle is the same for both secants." A tangent can be considered to be a secant that has both points of intersection with the circle in the same place.

The chord rule is similar to the secant rule: "The product of distances from the point of intersection of the chords to their intersection with the circle is the same for both chords."

The diagram shows a tangent of length 12, so the product of distances to the two points of intersection with the circle is 12(12).

The secant has length 8 to the near point of intersection, and (x+8) to the far point of intersection. That product is the same as for the tangent:

  8(x +8) = 12(12) . . . . . . matches choice D

One chord has lengths of 14 and x, so the product of those is 14x.

The other chord has lengths of 12 and 21, so the product of those is 12(21).

The product is the same for both chords, meaning ...

  14x = 12(21) . . . . . . matches choice B

__

Additional comment

We have purposely tried to write the rules in "parallel" fashion, because we find them easier to remember that way. Considering a tangent to be a secant with the points of intersection with the circle merged means the same rule can be used for all three cases:

Answer:

m= \(\frac{2}{11}\)

Step-by-step explanation:

The slope of the line passing through points A(6, –5) and B(–5, –7) is 11/2.

Slope is a notation that shows that a surface of which one end or side is at a higher level than another surface.

The given points are  A(6, –5) and B(–5, –7).

To find slope of the line, use formula m=(y₂-y₁)/(x₂-x₁)

m=(-5-6)/(-7-(-5))

m=11/2

The slope of the line is 11/2.

To know more about Slope on :

https://brainly.com/question/16180119

#SPJ2

Option B is correct as the given equation is not exact.

To determine if the equation is exact, we need to check if the partial derivatives of the coefficients with respect to each variable are equal. In this case, the coefficient of dt is e^(7y-5t) and the coefficient of dy is 9+7e.

Taking the partial derivative of the coefficient of dt with respect to y, we get d/dy(e^(7y-5t)) = 7e^(7y-5t), while the partial derivative of the coefficient of dy with respect to t is d/dt(9+7e) = 0. These partial derivatives are not equal, indicating that the equation is not exact.

Therefore, the correct choice is (B) - "The equation is not exact." Since the equation is not exact, we cannot solve it directly using methods such as finding an integrating factor or the potential function.

To learn more about exact equation click here: brainly.com/question/31420156

#SPJ11

Answer:

27

Step-by-step explanation:

7x3=21

if that's 3 that's means 9x3 is the answer and its 27

Answer:

x (Total number of chocolates) = 27

6 milk chocolates

Step-by-step explanation:

1)  \(\frac{7}{9} * x = 21\)

2) \(\frac{9}{7} *\) \(\frac{7}{9} * x = 21\) \(* \frac{9}{7}\)

∧ The fraction gets cross-multiplied and gets removed. 21 is then multiplied by 9/7

3) \(x = 21 * \frac{9}{7}\)

4) \(7 * x =21 *( \frac{9}{7} * \frac{7}{1} )\)

∧ The 9 / 7 gets multiplied by 7 / 1 to become 9. 7 is then multiplied by x

5) \(7x = 21 * 9\)

6) Simplify 21 * 9 to 189

7) \(7x = 189, becomes, \frac{7x}{7} = \frac{189}{7}\)

8) Simplify to \(x = 27\) , where x = total number of chocolates

9) \(27 - 21 = 6\) milk chocolates

Sarah's charges per hour for working during the week will be $9.5.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Sarah is a nanny who bills clients at various prices depending on whether she is working during the week or on the weekend. She worked 45 hours in a single week for a salary of $902.50, of which 5 hours were on the weekend. She worked 50 hours the next week, 10 of which were on the weekend, and made 1045 dollars.

Let x be the charge per working hour and y be the number of charges per hour during the weekend. Then the equation will be

45x + 5y = 902.5           ...1

50x + 10y = 1045

25x + 5y = 522.5          ...2

Subtract equation 2 from equation 1, then we have

45x - 25x = 902.5 - 522.5

20x = 380

x = 19

And the value of y will be

25 (19) + 5y = 522.5

475 + 5y = 522.5

5y = 47.5

y = 9.5

Sarah's charges per hour for working during the week will be $9.5.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ1

Answer:

Step-by-step explanation:

Draw a vertical line through each purple dot in each graph.

If the line crosses only one dot (in each graph), that graph is the graph of a function.  If the line crosses more than one dot, that graph is not the graph of a function.

Answer:    1323

Step-by-step explanation:

(63^2)/3

Answer:15.833

Step-by-step explanation:

When you have a number to a fractional exponent, it is best to break it up.

The number on the bottom of the fraction is the root. The number on the top is the exponent.

Therefore,

(63^2)^(1/3).

63 SQUARED IS 3969. The cubed root of 3969 is 15.833.

The rate of change of the function represented by the table is -2.5

The rate of change of a function is also known as its slope. The formula for calculating the slope is expressed as;

Slope = y2-y1/x2-x1

Using the coordinate point (1, -8.5) and (2, -6) as given in the table, the rate of change is expressed as:

Rate of change =-6-(-8.5)/2-1
Rate of change = -6+8.5/1
Rate of change = 2.5

Hence the rate of change of the function represented by the table is -2.5

Learn more on rate of change here: https://brainly.com/question/8728504

#SPJ1

Answer:

To keep it short it’s A lol:)

Step-by-step explanation:

Answer:

Equation 75 X .45 = P

P = 33.75

Based on the Wilcoxon rank-sum test, we do not have sufficient evidence to support the claim that there is a difference between the product weights for the two production lines.

To test for a difference between the product weights for the two production lines, we can use the Wilcoxon rank-sum test, also known as the Mann-Whitney U test. This test is appropriate when the data are not normally distributed and we want to compare the medians of two independent samples.

The null and alternative hypotheses for this test are as follows:

H0: The two populations of product weights are identical.

Ha: The two populations of product weights are not identical.

The test statistic W is calculated by ranking the combined data from both samples, summing the ranks for each group, and comparing the sums. The p-value is determined by comparing the test statistic to the distribution of the Wilcoxon rank-sum test.

Calculating the test statistic and p-value for the given data, we find:

W = 57

p-value ≈ 0.1312

With a significance level of 0.05, since the p-value (0.1312) is greater than the significance level, we fail to reject the null hypothesis. This means that there is not enough evidence to conclude that the product weights from the two production lines are significantly different.

In conclusion, based on the Wilcoxon rank-sum test, we do not have sufficient evidence to support the claim that there is a difference between the product weights for the two production lines.

Know more about Production here :

https://brainly.com/question/32196896

#SPJ11

Approximately 72.04% of financial services companies had revenue less than 103 million dollars last year.

To find the percentage of financial services companies with revenue less than 103 million dollars, we first need to standardize the value using the formula z = (x - μ) / σ, where x is the value we want to standardize (103 million), μ is the mean (90 million), and σ is the standard deviation (22 million).
z = (103 - 90) / 22 = 0.59
We then look up the percentage of companies below this z-score in a standard normal distribution table or use a calculator. The percentage of companies with revenue less than 103 million dollars is 72.04%, rounded to the nearest hundredth. Therefore, approximately 72.04% of financial services companies had revenue less than 103 million dollars last year.

Learn more about revenue here

https://brainly.com/question/16232387

#SPJ11

Using the definition of covariance, Cov(Y(1)Y(2))= 0. From the given information the two variables Y(1), and Y(2), are dependent and, p(y(1)y(2)) ≠ P(y(1))p(y(2)). So, it can be concluded that Uncorrelated variables need not be independent.

Given joint probability function of Y(1) and Y(2), is

p(Y(1)*Y(2)) = 1/3, for (y(1)*y(2)) = (- 1, 0), (0, 1), (1, 0)

So Y(1), takes random variable -1,0,1.

And Y(2) takes random variable 0,1.

Y(2)|Y(1)      -1               0             1

0                  1/3            0             1/3

1                   0               1/3           0

From the table:

The marginal probability function of Y(1) is;

P(Y(1)=y(1)) = ∑P(Y(1)=y(1)), y(1)= -1,0,1. That is;

Y(1)=y(1)                      -1                   0               1

P(Y(1)=y(1))                  1/3                 1/3             1/3

From the definition of expectation,

E[y(1)]= \(\Sigma_{y_{1}}\) y(1)P(Y(1)=y(1))

E[y(1)]= -1(1/3)+0(1/3)+1(1/3)

E[y(1)]= -1/3+0+1/3

E[y(1)]= 0

The marginal probability mass function of y(2) is

P(Y(2)=y(2)) = ∑P(y(1)y(2)), y(2)= 0,1. That is;

Y(2)=y(2)                    0               1

\(P_{Y(2)}\)(y(2))                  2/3             1/3

Now E[y(2)]= \(\Sigma_{y_{2}}\) y(2)P(Y(2)=y(2))

E[y(2)]= 0(2/3)+1(1/3)

E[y(2)]= 1/3

And

E[y(1)y(2)]= \(\Sigma_{y_{1}}\Sigma_{y_{2}}\) y(1)y(2)P(y(1)y(2))

E[y(1)y(2)]= -1(0)(1/3)+0(1)(1/3)+1(0)(1/3)

E[y(1)y(2)]= 0

From the definition of covariance.

The Cov(Y(1)Y(2))= E[Y(1)Y(2)]-E[Y(1)E[Y(2)]

Cov(Y(1)Y(2))= 0-1/3 (0)

Cov(Y(1)Y(2))= 0

The Cov(Y(1)Y(2))=0, implies that the two variables are uncorrelated. But from the given information the two variables Y(1), and Y(2), are dependent and, p(y(1)y(2)) ≠ P(y(1))p(y(2))

Hence, it can be concluded that Uncorrelated variables need not be independent.

To learn more about definition of covariance link is here

brainly.com/question/28135424

#SPJ4

Step-by-step explanation:

(4x-3) -x+10

4x-x +10 -3

3x +7

(4x-3) - (x-10) can be simplified into... 3x + 7

The given function is a piecewise function with a condition that x should be greater than 0. In programming, we can write this condition using an "if" statement. The "if" statement checks if the condition is true or false and performs the appropriate action based on the result.

So, in this case, we can write an "if" statement in VBA that checks if the value of x is greater than 0. If the condition is true, the statement will perform the function y = 3x + 1. If the condition is false, it will assign y = 73.

Here's an example of how to write the code:

If x > 0 Then
  y = 3 * x + 1
Else
  y = 73
End If

This code first checks if x is greater than 0. If it is, it performs the function y = 3x + 1. If x is less than or equal to 0, it assigns y = 73.

Learn more about function here:

https://brainly.com/question/12431044

#SPJ11

Answer:

Correct option: c) infinitely many solutions

Step-by-step explanation:

We have an equation with two variables, so as we have a system with less equations (just one) than variables (two), we have an infinite number of solutions.

To find some solutions, we can choose values for x and then just calculate the value of y:

x = 0:

-11y = 10 -> y = -10/11

x = 1:

3 - 11y = 10 -> y = -7/11

x = 2:

6 - 11y = 10 -> y = -4/11

And so on.

So the correct option is c): infinitely many solutions

A linear equation is something of the form:

y = a*x + b

Where the solutions are the pairs (x, y) such that the equality is true.

Here we will find that the correct option is c: infinitely many solutions.

In this case, we have the equation:

3x - 11y = 10

We can rewrite this as:

3x = 10 + 11*y

x = 10/3 + (11/3)*y

Ok, now we have one variable on each side, now let's see the number of solutions.

As you can see, we have one equation with two variables.

So if for example we take y = 0, we get:

x = 10/3 + (11/3)*0 = 10/3

So one solution is (10/3, 0)

If we take y = 1, we get:

x = 10/3 + (11/3)*1 = 22/3

Then another solution is (22/3, 1)

And as you can see, y can take any real value. So we have infinite values of y.

This also means that we have infinite values of x (as we have one value of x for each value of y). Then we will have infinite solutions for the linear equation.

The correct option is c.

If you want to learn more, you can read:

https://brainly.com/question/16843611

False, As the sample size is increased, the standard deviation of a sampling distribution of the sample's mean drops.

The term "standard error" also refers to the sample mean's standard deviation. The high dimensionality theorem establishes that as sample size increases, the sample mean's sampling distribution becomes more or less normal.

Using the formula below, the sample mean's standard deviation is determined.

σ ÷ √n

where n is the sample size and would be the population standard deviation.

As the denominator, or n, increases, the standard variance of the sample average would also decrease, as shown by the aforementioned calculation.

It follows that the standard deviation of a sample's average decreases as the sample size grows.

Learn more about the sampling distribution at

brainly.com/question/28941407?referrer=searchResults

#SPJ4

The z statistic that is associated with the class's average is 1.25.

In the given question the population of all standardized ex scores has a mean of 500 and a standard deviation of 100 . Twenty-five students in a professor's class take the ex , and their average score is 525.

We have to find z statistic that is associated with the class's average.

n = 25

μ = 500

σ = 100

\(\bar X\) = 525

Then ,

z statistic = \(\frac{\bar{X} - \mu}{\frac{\sigma}{\sqrt n} }\)

putting the value in the formula:

z statistic = (525-500)/(100/\sqrt 25)

z statistic = (25)/(100/5)

z statistic = (25)/(20)

z statistic = 1.25

Therefore,

The z statistic that is associated with the class's average is 1.25.

To learn more about average link is here:

brainly.com/question/27193544

#SPJ4

Logistic regression models the probability of a binary outcome, while CART models segment data into categories. For example, CART is preferable when data has complex interactions, as it can partition data into multiple categories.

Logistic regression and classification and regression trees (CART) are two different machine learning models used for binary classification problems. Logistic regression models the probability of one class or the other based on a linear combination of input variables. This makes it useful for predicting a binary outcome, such as whether a customer will purchase a product or not. On the other hand, CART is a decision tree model that divides data into categories. It uses a tree-like structure to split the data into segments based on the input features. This makes it useful for dealing with data with complex interactions, as it can partition data into multiple categories. For example, a CART model would be preferable to a logistic regression model if there are multiple underlying factors that affect the binary outcome. In this case, a CART model could more accurately identify the categories that are associated with a particular outcome. Overall, CART models are superior for dealing with data with complex interactions, whereas logistic regression is better for simpler data.

Learn more about probability here

https://brainly.com/question/11234923

#SPJ4