Which of the following units are most commonly used in the United States? Check all that apply

A. Ounces

B. Meters

C. Kilograms

D. Feet

Answer:

Below in bold.

Step-by-step explanation:

f(x)=2x^3-3x^2

Finding the derivative and equating to zero:

f'(x) = 6x^2 - 6x = 0

6x(x - 1) = 0

So there are turning point at x = 0 and 2 = 1.

Finding the relative maximum:

Second derivative is negative when we have a maximum value:

f"(x) = 12x - 5

- which is negative when  x = 0.

So the relative maximum is at x = 0 where f(x) = 2(0)^3 - 3(0)^2 = 0.

At x = 1, second derivative  = 12(1) - 5 = +7 so this is a relative  minimum.

The function is increasing  in interval -∝ < x < 0

decreasing in interval 0 < x < 1

then increasing in interval   1 < x < ∝

A) The algebraic expression will be 12d + 7 = 91

B) He drives 7 miles per day to work.

For 11 days straight, Ms. Chung drove the same distance every day going to and coming from work.

The distance she drove on Saturday was; 0.9 miles.

The number of miles she drives per day:

84 miles/12

= 7 miles per day

Let the number of miles she travels be day = d

12d + 7 = 91 miles

12d + 7 = 91

12d = 91 - 7

12d = 84

d = 84/12

d = 7 miles per day

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Answer:

D. 4 units

Step-by-step explanation:

Similar figures have corresponding lengths in proportion.

\(\frac{4x}{2x}=\frac{x+1}{x} \\ \\ 2=1+\frac{1}{x} \\ \\ 1=\frac{1}{x} \\ \\ x=1\)

Therefore, the height of Figure 1 is 4.

Answer:

The number of positive solutions to this equation is;

The approximate value of the greatest solution to the equation is;

Explanation:

Given the equation;

Let us subtract 21 from both sides;

We can now solve for x using the quadratic formula;

from the equation;

substituting;

so, we have;

Therefore, the number of positive solutions to this equation is;

The approximate value of the greatest solution to the equation is;

The first node in set 1 should represent the element.

For each potential value in set 2, create a branch.

Create a new node to represent the following set 1 element at the end of each branch.

Steps 2-4 must be repeated for each additional Set 1 component.

All potential outcomes are represented by the final nodes.

The appropriate line of best fit for the scatter plot is y hat equals 67 hundredths times x plus 4 and 5 hundredths.

The number is a mathematical entity used to represent a computer's magnitude it can be a symbol or a combination of simple you should in order to take quantity such as the two, five, seven, three, or eight numbers are used to verify the context including counting measuring and computing.

This line of best fit indicates that the number of households with cable television will increase by 67 hundredths (or 0.67) each year. This line of best fit is based on the data points on the scatter plot, which suggest that the number of households with cable television has been steadily increasing over the years.

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Answer: 20 inches

Step-by-step explanation: Let's quickly create some equations to represent what's going on. We can say i are inches and m are miles. Then, 5i=3m because 5 inches represents 3 miles.

5i=3m

5/3i=1m One mile represents 5/3 of an inch/

12(5/3i)=12m We multiply by 12 since we want to know what 12 miles are

60/3i=12m=20i      12 miles is equal to 20 inches

Hope this helps! For practice, if 10 inches represented half a mile on a map, how many feet are represented by 36 miles?

Answer:

Step-by-step explanation:

In this equation, 500 is the coefficient of the variable h, 4,000 is the constant, and E and h are both variables. Therefore, the equation should be written as:

E = 500h + 4000

A. The following are sets A and B:

A = {2, 3, 5, 7, 11}

B = {1, 2, 3, 4, 6, 12}

C. Elements not in A or A' = ∅

B. The Venn diagram is attached

A universal set is a set which consists of all elements related to the given sets. It is denoted by U.

A. Set A:

A = {2, 3, 5, 7, 11}

Set B:

B = {1, 2, 3, 4, 6, 12}

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

A' = {1, 4, 6, 8, 9, 10, 12}

C. Elements not in A or A' = ∅

Complement of set A is refers to a set that contains the elements present in the universal set but not in set A.

Hence, the Venn diagram of sets A, B and U has been attached.

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Answer:

(x + 4)^2 + (y + 7)^2 = 36

Step-by-step explanation:

The given information describes a circle with its center at (-4, -7) and tangent to the vertical line x = 2. To determine the radius of the circle, we need to find the distance between the center and the tangent line.

The distance between a point (x1, y1) and a line Ax + By + C = 0 is given by:

d = |Ax1 + By1 + C| / sqrt(A^2 + B^2)

In this case, the equation of the line is x = 2, which can be written as 1x + 0y - 2 = 0. Therefore, A = 1, B = 0, and C = -2. The center of the circle is (-4, -7), so x1 = -4 and y1 = -7. Substituting these values into the formula, we get:

d = |1*(-4) + 0*(-7) - 2| / sqrt(1^2 + 0^2)

d = |-6| / sqrt(1)

d = 6

Therefore, the radius of the circle is 6 units. The equation of a circle with center (h,k) and radius r is given by:

(x - h)^2 + (y - k)^2 = r^2

Substituting the values we have found, we get:

(x + 4)^2 + (y + 7)^2 = 36

This is the equation of the circle that satisfies the given conditions.

The perimeter of the given shape as represented in the task content is; 29 cm.

It follows from the task content that the perimeter of the given shape on the centimeter grid as required is to be determined.

Since each grid line has 1cm as it's length;

The perimeter of the shape is the sum of all side lengths of the shape;

Perimeter, P = 6+2+3+2+2+1+3+2+2+2+2+1

P = 29 cm

Hence, the perimeter of the shape is; 29 cm.

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Answer:

To know if these lines are parallel, you have to look at the slopes. If the slopes are the same, the lines are parallel. In this case, they are not.

Step-by-step explanation:

The slope is the number in front of your x. So for the first line it is -3 and for the second one it's 9. These numbers indicate the direction of the line, so if they are equal, the lines are parallel. In this case, the slopes are not the same, so the lines are not parallel.

Answer:

yes they are parallel

Step-by-step explanation:

they have the same slope and different y-intercepts

Given statement solution is :- Runge-Kutta for Differential Equations is y(0.2) = 2.023163 + (0.1923163 + 2 * 0.2064487 + 2 *

To solve the given problems using the fourth-order Runge-Kutta method, we'll follow the general procedure:

Define the differential equation in the form dy/dx = f(x, y).

Choose the step size, h.

Use the fourth-order Runge-Kutta formulas to compute the values of y at each step.

Let's go through each problem and solve them accordingly.

Problem 1:

Find y(0-2) given y' = y - x, y(0) = 2, and h = 0.1.

Here, f(x, y) = y - x.

Using the fourth-order Runge-Kutta method, the formulas are as follows:

k1 = hf(x, y)

k2 = hf(x + h/2, y + k1/2)

k3 = hf(x + h/2, y + k2/2)

k4 = hf(x + h, y + k3)

y(n+1) = y(n) + (k1 + 2k2 + 2k3 + k4)/6

Applying the formulas:

Step 1: For x = 0, y = 2

k1 = 0.1 * f(0, 2) = 0.1 * (2 - 0) = 0.2

k2 = 0.1 * f(0 + 0.1/2, 2 + 0.2/2) = 0.1 * (2.1 - 0.05) = 0.205

k3 = 0.1 * f(0 + 0.1/2, 2 + 0.205/2) = 0.1 * (2.10125 - 0.0525) = 0.20975

k4 = 0.1 * f(0 + 0.1, 2 + 0.20975) = 0.1 * (2.20975 - 0.1) = 0.210975

y(0.1) = 2 + (0.2 + 2 * 0.205 + 2 * 0.20975 + 0.210975)/6 = 2.023163

Step 2: For x = 0.1, y = 2.023163

k1 = 0.1 * f(0.1, 2.023163) = 0.1 * (2.023163 - 0.1) = 0.1923163

k2 = 0.1 * f(0.1 + 0.1/2, 2.023163 + 0.1923163/2) = 0.1 * (2.1177829 - 0.0493416) = 0.2064487

k3 = 0.1 * f(0.1 + 0.1/2, 2.023163 + 0.2064487/2) = 0.1 * (2.1191462 - 0.0509701) = 0.2069196

k4 = 0.1 * f(0.1 + 0.1, 2.023163 + 0.2069196) = 0.1 * (2.2308559 - 0.1) = 0.2130856

Runge-Kutta for Differential Equations is y(0.2) = 2.023163 + (0.1923163 + 2 * 0.2064487 + 2 *

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Answer:

Amadi: 20 years old

Chima : 4 years old

Jim will have to score a 93 on his next assignment. All you have to do is 71 +79+93 /3

The average will give you 81.

we have the system

y < -2x^2+4x-2

The solution for this inequality is the shaded area below the vertical dashed parabola

and

the solution for this inequality is the shaded area above the solid line y=(2/3)x-3

therefore

the solution for this system of inequalities

Is the shaded area below the vertical dashed parabola y=-2x^2+4x-2 and above the solid line y=(2/3)x-3

see the attached figure to better understand the problem

Answer:

The probability that the selected number is an odd number or a multiple of 3 is 6/9, or 2/3. This is because there are 6 numbers that meet the criteria out of the 9 numbers in the set: 1, 3, 5, 7, 9, and 3.

Answer:

So, 100 fish taken from Lake A would have a mean length of 50 cm and 100 fish taken from Lake B would have a mean length of 140 cm

Step-by-step explanation:

1 fish from Lake A would be 0.5 cm long you calculate that by dividing 70 from 35 and you calculate the fish from Lake B by dividing 30 from 42 which would be 1.4 cm, (english is not my first language so I hope you understood everything :D)

Answer:

If two numbers have the same exponent for 10, then compare the decimal numbers to determine the greater number. Sometimes you may have to compare two numbers, but only one of them is in scientific notation. In that case, convert the number that is not in scientific notation into scientific notation first. Then, compare the two numbers. Example 1 : Compare 5.62 x 10 6 and 7.39 x 10 5.

Step-by-step explanation:

The general form in scientific notation is

where z is integer

So while comaparing

We usually compare z.z rounded to similar significant numbers .

In rest case

Example

First one is bigger

Given:

Required:

To find the value of a and b.

Explanation:

Consider

So the values of

Final Answer:

Answer:

your right the answer is A

have a good day (= <3 <3

Step-by-step explanation:

The depth of water at high tide at a maximum point is 13 feet because the maximum value of the sin function is 1 option (A) is correct.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have a trigonometric function:

\(\rm y = 4 \ sin(\dfrac{\pi}{6}x)+9\)

As we know, the maximum value of a sin function varies [-1, 1]

At minimum value = -1

The depth of the water y = -4 + 9 = 5 feet

At maximum value, sin function = +1

y = 4 + 9

y = 13 feet

Thus, the depth of water at high tide at a maximum point is 13 feet because the maximum value of the sin function is 1 option (A) is correct.

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Option III "E(y) = B₀ + B₁x₁ + B₂x₂ + B₃x₃, where x₁ = 1 if treatment B, x₁ = 0, otherwise; x₂ = 1 if treatment C, x₂ = 0, otherwise; x₃ = 1 if treatment D, x₃ = 0, otherwise." is a correct multiple regression equation that can be used to analyze these data. So the option III is correct.

Randomized design involving four treatments: A, B, C, and D.

So total number of treatments = 4(A, B, C, D)

So the number of dummy variable is required = 4 - 1

The number of dummy variable is required = 3

The three variables would be x₁ x₂ and x₃ and the fourth treatment scenario would be represented if all three were zero.

So the option III is correct because this is a correct multiple regression equation because it contains all the necessary components to define a linear regression model.

Specifically, it contains a dependent variable (y), a constant (B₀), and three independent variables (x₁, x₂, x₃). Additionally, each of the independent variables is either assigned a value of 1 or 0 depending on the treatment, which is how a linear regression model is typically constructed.

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The complete question is:

Consider a completely randomized design involving four treatments: A, B, C, and D. Select a correct multiple regression equation that can be used to analyze these data. Define all variables.

I. E(y) = B₀ + B₁ x₁ x₂ x₃ x₄, where x₁ = 1 if treatment A, x₁ = 0, otherwise; x₂ = 1 if treatment B, x₂ = 0, otherwise; x₃ = 1 if treatment C, x₃ = 0, otherwise; x₄ = 1 if treatment D, x₄ = 0, otherwise.

II. E(y) = B₀ + B₁x₁ + B₂x₂ + B₃x₃ + B₄x₄, where x₁ = 1 if treatment A, x₁ = 0, otherwise; x₂ = 1 if treatment B, x₂ = 0, otherwise; x₃ = 1 if treatment C, x₃ = 0, otherwise; x₄ = 1 if treatment D, x₄ = 0, otherwise.

III. E(y) = B₀ + B₁x₁ + B₂x₂ + B₃x₃, where x₁ = 1 if treatment B, x₁ = 0, otherwise; x₂ = 1 if treatment C, x₂ = 0, otherwise; x₃ = 1 if treatment D, x₃ = 0, otherwise.

Answer:

1/2

Step-by-step explanation:

Divide both the numerator and denominator by 4.

4/8 = 1/2

Answer:

1/2

Step-by-step explanation:

you can divide the numbers by 4/4 and you'll get

1/2

The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.

Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:

1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.

2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.

3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.

4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.

5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.

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Answer:

The third one.

Step-by-step explanation:

Both A and B are correct and should give you the same answer when you apply the distributive property.

12 * 20 + 2 * 12  = 240 + 24 = 264

22(10) + 22*2 = 220 + 44 = 264

The third one just give anything near 264.

A is either 45° or 135°.

To prove the given statement, let's assume that the points B and C lie on a coordinate plane, with the origin (0, 0) as the common vertex of the right angles at points B, C, and A. Let the coordinates of points B and C be (x₁, y₁) and (x₂, y₂) respectively.

Using the distance formula, we have:

AB² = x₁² + y₁²

AC² = x₂² + y₂²

According to the given equation, +b4+c4 = 20² (b²+c²), we can rewrite it as:

(x₁² + y₁²) + (x₂² + y₂²) = 20² [(x₁² + y₁²) + (x₂² + y₂²)]

Expanding and simplifying the equation, we get:

x₁² + y₁² + x₂² + y₂² = 20² (x₁² + y₁² + x₂² + y₂²)

This equation can be further simplified to:

(x₁² + y₁²) + (x₂² + y₂²) = (20² - 1) (x₁² + y₁² + x₂² + y₂²)

Since the left side represents the sum of the squares of the distances from the origin to points B and C, and the right side is a constant multiplied by the same sum, we can conclude that the points B and C must lie on a circle centered at the origin.

In a circle, the sum of angles subtended by two perpendicular chords at the center is either 180° or 360°. Since the given problem involves right angles, we consider the sum of angles to be 180°.

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Answer: C

Step-by-step explanation:

Point D is at -14 on the number line.

In Mathematics, the midpoint of a line segment with two end points can be calculated by adding each end point on a line segment together and then divide by two (2).

Since E is the midpoint of line segment CD, we can logically deduce the following relationship:

Line segment CD = Line segment C + Line segment D

Midpoint E = (point C + point D)/2

By substituting the given points into the equation above, we have the following:

-3 = (8 + D)/2

-6 = 8 + D

D = -6 - 8

D = -14

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Answer:

I think it is 6 (i hope it is correct)

Step-by-step explanation:

14-8=6

Answer: 5 feet

Step-by-step explanation: To find the width of the rectangle,

start with the formula for the perimeter, shown below.

Perimeter = 2l + 2w

Since we know the perimeter is 36 and the

length is 13, we have 36 = 2(13) + 2w.

Simplifying on the right, we have 36 = 26 + 2w.

Not subtract 26 from both sides to get 10 = 2w.

Now divide both sides by 2 and 5 = w.

So the with is 5 feet.