HELP ME HELP ME HELP ME

Answer:

D

Step-by-step explanation:

The absolute value of a number is the actual distance of the number from zero. So, it is always a positive number. No negative value.

A) I -4.5I = 4.5    TRUE

B) I 0I  < I -45I   TRUE  

Reason: 0 < 45

C) I 45 I > 0         TRUE

D) I4.5 I > I - 45 I     FALSE

Reason: 4.5is not greater than 45

Answer:

D

Step-by-step explanation:

The system of equations are

The solution of the equation from the graph is

The system of equations is derived from the statements as interpreted below

If x represents the number of hours lifeguarding and y represents the number of hours tutoring

number of hours lifeguarding = x  

number of hours tutoring = y

she can work no more than 11 total hours

x + y not more than 11 hours

x + y < 11

making $14 per hour lifeguarding and making $25 per hour tutoring and must earn no less than $200

$14x + $25y no less than $200

14x + 25y > 200

The required equations are

14x + 25y > 200

x + y < 11

The graph is attached

Learn more on simultaneous equation here:

https://brainly.com/question/29326319

#SPJ1

Answer:

3,384

Step-by-step explanation:

So this is a classic multiplication problem. If each patron has 6 books, and there's 564 patrons, you multiply:

564 x 6 = 3,384

hope this helps:D

Please find attached the drawing of the histogram of the given data

created with MS Excel.

The statement that is true about the histogram is the option;  

Reasons:

The given data sorted in increasing order are presented as follows;

From the data given above, we have;

The number of data points, n = 15

The median, Q₂ = (n + 1)÷ 2th data point = The 8th term = 7.5

The mean = 7.433

The data points in 1 minute increments are presented as follows;

5.5 to 6.5 = 5 data points

6.5 to 7.5 = 4 data points

7.5 to 8.5 = 3 data points

8.5 to 9.5 = 2 data points

9.5 to 10.5 = 1 data point

Therefore, most of the data are between 5.5 to 8.5, with one-third of the data being within the class 5.5 to 6.5 range.

Therefore, the histogram is right skewed.

The median is given by the value at which the graph is shared into equal halves.

The mean is given by the sum of the values divided by the number of values.

Therefore, the statement that is true about the histogram is; A histogram will show that the mean time is approximately equal to the median time of 7.5 minutes.

Learn more about histograms here:

https://brainly.com/question/2776232

The mean amount of snow per day is equal to 19 cm snow per day.

In Mathematics and Geometry, the mean for this set of data can be calculated by using the following formula:

Mean = [F(x)]/n

For the total amount of snow based on the frequency, we have;

Total amount of snow (s cm), F(x) = 5(8) + 15(10) + 25(7) + 35(2) + 45(3)

Total amount of snow (s cm), F(x) = 40 + 150 + 175 + 70 + 135

Total amount of snow (s cm), F(x) = 570

Now, we can calculate the mean amount of snow as follows;

Mean = 570/30

Mean = 19 cm snow per day.

Read more on mean here: brainly.com/question/9550536

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

yes you are saying 5-9-16 is greatest possible value but how can you show it please help me I am also

Answer:

? =30

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin ? = 25/50

Taking the inverse sin of each side

sin ^-1( sin ?) = sin^-1 ( 1/2)

? =30

Speed the top of the ladder is sliding down = 1.6ft/sec  when it is 12 feet away from the wall

15-foot ladder is leaning against a wall.

the top of the ladder is sliding down the wall at a rate of 2 ft/sec.

how fast is the bottom of the ladder moving when it is 12 feet away

Using equivalent proportion

15 ft -------------------2ft/sec

12 ft-------------------X ft/sec

Hence X = (12 x 2) ÷ 15 =1.6 ft/sec

learn more about of rating here

https://brainly.com/question/15401968

#SPJ4

The equation of the perpendicular bisector of the segment with endpoints (–1, 10) and (3, 6) is y = x + 7.

The equation for the perpendicular bisector of a segment with endpoints (–1, 10) and (3, 6) can be found by following these steps:

Step 1: Find the midpoint of the segment.

The midpoint is the average of the x-coordinates and the average of the y-coordinates of the endpoints.

The x-coordinate of the midpoint is: (-1 + 3) / 2 = 2 / 2 = 1.

The y-coordinate of the midpoint is: (10 + 6) / 2 = 16 / 2 = 8.

So, the midpoint is (1, 8).

Step 2: Find the slope of the segment. The slope can be calculated using the formula:

slope = (y2 - y1) / (x2 - x1),

where (x1, y1) and (x2, y2) are the coordinates of the endpoints.

slope = (6 - 10) / (3 - (-1)) = -4 / 4 = -1.

Step 3: Find the negative reciprocal of the slope.

The negative reciprocal of -1 is 1.

Step 4: Use the point-slope form of a line to find the equation of the perpendicular bisector. The point-slope form is:

y - y1 = m(x - x1),

where (x1, y1) is the midpoint and m is the negative reciprocal of the slope.

Substituting the values, we have:

y - 8 = 1(x - 1).

Simplifying the equation, we get:

y - 8 = x - 1.

y = x - 1 + 8.

y = x + 7.

Learn more about point-slope form from the given link

https://brainly.com/question/24907633

#SPJ11

The solution to the given ODE with the provided initial conditions is y(t) = (6/4)e^(-2t) + (6/4)te^(-2t) + (6/4)e^(-2(t-π))u(t-π), where u(t-π) is the unit step function.

To solve the given ordinary differential equation (ODE) with the given initial conditions, we can follow these steps:

First, identify the type of ODE. The equation provided is a second-order linear homogeneous ODE with constant coefficients.

Solve the associated homogeneous equation by assuming a solution of the form y_h(t) = e^(rt), where r is a constant to be determined. Substitute this solution into the homogeneous equation to obtain the characteristic equation r^2 + 4r + 4 = 0.

Solve the characteristic equation to find the roots. In this case, the characteristic equation simplifies to (r + 2)^2 = 0, which has a repeated root r = -2.

Since we have a repeated root, the general solution of the homogeneous equation is y_h(t) = c1e^(-2t) + c2te^(-2t), where c1 and c2 are arbitrary constants.

Next, we consider the non-homogeneous term 6δ(t - π). Since δ(t - π) represents a unit impulse centered at t = π, we need to find the particular solution associated with this term.

We can guess a particular solution of the form y_p(t) = Aδ(t - π), where A is a constant to be determined. Substitute this solution into the original ODE to determine the value of A.

Apply the initial conditions y(0) = 0 and y'(0) = 0 to find the values of the arbitrary constants c1 and c2 in the general solution.

Finally, combine the general solution of the homogeneous equation and the particular solution to obtain the complete solution y(t) = y_h(t) + y_p(t).

By following these steps, we can find the solution to the given ODE with the provided initial conditions. The step-by-step solution involves solving the homogeneous equation, determining the particular solution, and applying the initial conditions to find the constants and obtain the final solution.

Know more about Constants  here:

https://brainly.com/question/31730278

#SPJ11

Answer:

Area=78m^2

Step-by-step explanation:

4*12=48m^2 <-- The area of a rectangle LxW

12*5=60 60/2=30 <-- The area of a triangle (HxB)/2

30+48=78m^2 Add them together to get the total area

The present value of the cash outflows is -$200, and the future value of the cash inflows is $120 in year 1, -$50 in year 2, and $700 in year 3. The MIRR is then calculated to be approximately 16.17%.

The Modified Internal Rate of Return (MIRR) is a financial metric that takes into account both the cost of capital (WACC) and the reinvestment rate of cash flows. To calculate the MIRR, we need to determine the present value of all cash outflows (negative cash flows) at the cost of capital and the future value of all cash inflows (positive cash flows) at the reinvestment rate.

Using a financial calculator or spreadsheet software, we can calculate the MIRR for the given cash flows and a WACC of 12%. The present value of the cash outflows is -$200, and the future value of the cash inflows is $120 in year 1, -$50 in year 2, and $700 in year 3. The MIRR is then calculated to be approximately 16.17%.


To learn more about rate click here: brainly.com/question/25565101

#SPJ11

The probabilities are:

a) P(A and G) = 24/91

b) P(A and A) = 15/91

c) P(G and A) = 24/91

d) P(G and G) = 28/91

To determine the probabilities of the events, we need to consider the number of favorable outcomes and the total number of possible outcomes.

Total number of bottles = 6 (apple juice) + 8 (grape juice) = 14 bottles

a) Event A: Choosing apple juice first

Event G: Choosing grape juice second

P(A and G) = P(A) * P(G|A)

= (6/14) * (8/13)

= 24/91

b) Event A: Choosing apple juice first

Event A: Choosing apple juice second

P(A and A) = P(A) * P(A|A)

= (6/14) * (5/13)

= 15/91

c) Event G: Choosing grape juice first

Event A: Choosing apple juice second

P(G and A) = P(G) * P(A|G)

= (8/14) * (6/13)

= 24/91

d) Event G: Choosing grape juice first

Event G: Choosing grape juice second

P(G and G) = P(G) * P(G|G)

= (8/14) * (7/13)

= 28/91

Therefore:

a) P(A and G) = 24/91

b) P(A and A) = 15/91

c) P(G and A) = 24/91

d) P(G and G) = 28/91.

To know more about probabilities, visit:

https://brainly.com/question/570842

#SPJ11

The probabilities are

a) P(Apple and Grape) = 24/91

b) P(Apple and Apple) = 15/91

c) P(Grape and Apple) = 24/91

d) P(Grape and Grape) = 28/91

Therefore

Total number of bottles = 6 (apple juice) + 8 (grape juice) = 14

a) Choosing apple juice and then grape juice:

P(A and G) = (6/14) × (8/13) = 48/182 = 24/91

b) Choosing apple juice and then apple juice:

P(A and A) = (6/14) × (5/13) = 30/182 = 15/91

c) Choosing grape juice and then apple juice:

P(G and A) = (8/14) × (6/13) = 48/182 = 24/91

d) Choosing grape juice and then grape juice:

P(G and G) = (8/14) × (7/13) = 56/182 = 28/91

Probability is a fundamental concept in mathematics and statistics, widely used in various fields such as science, economics, engineering, and gambling, among others. It is a measure or quantification of the likelihood that a specific event or outcome will occur.

Learn more about probability here

https://brainly.com/question/13604758

#SPJ4

The function f(x) = x(x-3) is a polynomial, which is continuous everywhere. Therefore, the function is continuous for all values of x. Thus, the answer is Ol: The function f is continuous for all values of x.

The function f(x) = x(x-3) is a polynomial function, which means it is continuous everywhere. Therefore, the function has no points of discontinuity or intervals of discontinuity.

To find the limit of the function as x approaches a particular value, we can simply substitute the value of a into the function and evaluate the expression. The function f(x) = x(x-3) is continuous everywhere so , f is continuous at all values of x.

To know more about Continuity:

https://brainly.com/question/30501770

#SPJ4

Answer:

(-3,5) Quad 2

(4,-1) Quad 4

(2,0) Positive X axis

(2,2) Quad 1

(-3,-6)​ Quad 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

(-3,5) lies on second quadrant

(4,-1) lies on fourth quadrant

(2,0) lies on x axis

(2,2) lies on first quadrant

(-3,-6) lies on third quadrant

Answer:

The answer is 0.02

Step-by-step explanation:

1/50=0.02

Answer:

  c.  D = {x | x ≥ -3}, R = {y | y ≥ 0}

Step-by-step explanation:

The domain is the horizontal extent of the graph. The range is its vertical extent.

__

We observe that point (-3, 0) is a point on the graph, so x=-3 is included in the domain, and y=0 is included in the range. The only answer choice that has the "or equal to" case included for both x and y is ...

  D = {x | x ≥ -3}, R = {y | y ≥ 0}

The two tables that represent proportional relationship are:

x       0   3   5   8

y       0   9  15  24

x       2   6    7   10

y       8  24  28  40

A proportional relationship is a mathematical relationship between two variables in which one variable is a constant multiple of the other. In other words, if one variable increases by a certain factor, the other variable will increase or decrease in proportion to that factor.

The first table the constant of proportionality is 3

The second table the constant of proportionality is 4

Learn more about proportional relationship at:

https://brainly.com/question/12242745

#SPJ1

Answer:

Your rollker skating speed starts to decrease at the start of the time but than expontielly increase until you reach the peak speed then begin to declin in speed over time reaching a stop at your starting speed

The inner product of two vectors A = (2, -3,0) and B = (-1,0,5) is -2 / √(13×26).

Solving the given system of equations using Gaussian elimination:

2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13

Matrix form of the system is

[A] = [B] 2 3 1 | 2 0 5 | 20 -1 2 3 | 13

Divide row 1 by 2 and replace row 1 by the new row 1: 1 3/2 1/2 | 1

Divide row 2 by 5 and replace row 2 by the new row 2: 0 1 1 | 4

Divide row 3 by -1 and replace row 3 by the new row 3: 0 0 1 | 5

Back substitution, replace z = 5 into second equation to solve for y, y + 5(5) = 20 y = -5

Back substitution, replace z = 5 and y = -5 into the first equation to solve for x, 2x + 3(-5) + 5 = 2 2x - 15 + 5 = 2 2x = 12 x = 6

The solution is (x,y,z) = (6,-5,5)

Therefore, the solution to the given system of equations using Gaussian elimination is (x,y,z) = (6,-5,5).

The given two vectors are A = (2, -3,0) and B = = (-1,0,5). The inner product of two vectors A and B is given by

A·B = |A||B|cosθ

Given,A = (2, -3,0) and B = (-1,0,5)

Magnitude of A is |A| = √(2²+(-3)²+0²) = √13

Magnitude of B is |B| = √((-1)²+0²+5²) = √26

Dot product of A and B is A·B = 2(-1) + (-3)(0) + 0(5) = -2

Cosine of the angle between A and B is

cosθ = A·B / (|A||B|)

cosθ = -2 / (√13×√26)

cosθ = -2 / √(13×26)

Learn more about equation at

https://brainly.com/question/12998758

#SPJ11

The probability of 1, 2, and 6 if rolling a cube with faces numbered 1 through 6 are 1/ 6, 1 / 6, and 1 / 6 respectively, and the sample space would be 6.

The ratio of good outcomes to all possible outcomes of an event is known as probability. A lot of successful results for an experimental with 'n' results can be represented by the symbol x.

Given:

Rolling a cube with faces numbered 1 through 6.

Calculate the sample space as shown below,

Sample space = 1, 2, 3, 4, 5, 6 = 6,

Calculate the probability of 1 as shown below,

p(1) = 1 / 6

Calculate the probability of 2 as shown below,

p(2) = 1 / 6

Calculate the probability of 6 as shown below,

p(6) = 1 / 6

To know more about probability:

https://brainly.com/question/743546

#SPJ4

The length of side f is  8.38 in the triangle DEF.

In a triangle, the sum of the angles is always 180 degrees.

∠D + ∠E + ∠F = 180 degrees

∠D + ∠E + 166 degrees = 180 degrees

∠D + ∠E = 14 degrees

Now, we can use the Law of Cosines to find the length of side f:

f² = d² + e² - 2de cos(∠F)

f² = (5.2 inches)² + (6.8 inches)² - 2(5.2 inches)(6.8 inches) cos(166 degrees)

f² = 70.29 inches²

Taking the square root of both sides, we get:

f = 8.38 inches

Therefore, the length of side f is  8.38 in the triangle DEF.

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ1

Answer:

At my school 20 people boys and girls play soccer

When it comes to Bootstrap confidence interval and randomization hypothesis both have a common ground, both of them are regarded as resampling methods that are efficient in measuring accuracy using intervals, prediction error, confidence, variance, bias etc. It also focuses on the crucial point of evaluating the variability of statistics.

The quick set of methods used to construct Bootstrap confidence interval and randomization distribution are similar considering the way they are used.

Furthermore, the thought of using Bootstrap confidence interval or randomization hypothesis depends on the research question. Hence,  choosing from both depends on the type of approach the researcher needs to elucidate the research.

To learn more about Bootstrap confidence interval,

https://brainly.com/question/15109824

#SPJ4

a)  The electrical potential V (center) at the center C of the circle due to the charges Q1 and Q2 is -2.30 V.

b) The total electrical potential at the point P due to charge Q1 and Q2 , located at a distance of 6.71 cm is -1.78V.

Given that:

Radius of the circle, r = 8.20cm

Charge distributed along one-quarter of the circumference of the circle,

Q1 = +4.20pC

Charge distributed along 3/4th of the circumference of the circle,

Q2 = 25.20pC

Distance of the point from the center, d = 6.71cm

The electric potential at infinity is. V = 0

Using the concept of potential at a point on a thin rod, we can obtain the individual potential due to each charge. The sum of these values ​​can now be used to obtain the desired potential value at the center and at the point, taking into account the distance to the point.

Formula:

The potential due to a point charge at a distance r from the point charge is determined by the equation V = \(\frac{1}{4\pi E_0} * \frac{q}{r}\)        ---------------- (1)

The potential due to the collection of point charges is determined by formula:

V = ∑\(\frac{1}{4\pi E_0} * \frac{q}{r}\)                 -------------------- (2)

(a) The potential VQ1 at the center C of the circle due to the charge Q1 is determined using equation (i) as:

\(V_Q_1 = \frac{1}{4\pi E_0} * \frac{Q_1}{R}\)              --------------------- (3)

Here, R is the radius of circle

The potential VQ1 at the center C of the circle due to the charge Q1 is determined using equation (i) as:

\(V_Q_1 = \frac{1}{4\pi E_0} * \frac{Q_2}{R}\)                 ----------------------- (4)

Now the potential V(center) at the center C of the circle due to charges Q1 and Q2 is the sum of the potential due to charge Q1 and the potential due to charge Q2. This is given using equations (a) and (b) in equation (ii) as:

    \(V_Center = \frac{1}{4\pi E_0} * \frac{Q_1}{R} + \frac{1}{4\pi E_0} * \frac{Q_2}{R}\)

⇒ \(V_Center = \frac{1}{4\pi E_0} *( \frac{Q_1}{R} + \frac{Q_2}{R})\)

⇒ 9.0 × 10⁹Nm²/C₂ (\(\frac{4.20*10^-12 C}{0.082m} +\frac{-25.2*10^-12C}{0.082m}\))

⇒ -2.30V

The electrical potential V (center) at the center C of the circle due to the charges Q1 and Q2 is -2.30 V.

(b) From the above figure the r between each charged particle and the point P is given as:

\(r = \sqrt{R^{2}+D^{2} }\)                    

In the figure above, r between each charged particle and point P is defined as: ="1662703245948 "

\(V_Q_1 = \frac{1}{4\pi E_0} * \frac{Q_1}{\sqrt{R^{2} + D^{2} } }\)                  ------------------ (5)

Again, the electric potential at point P due to charge Q2 is given using equation (i) as follows:
\(V_Q_1 = \frac{1}{4\pi E_0} * \frac{Q_2}{\sqrt{R^{2} + D^{2} } }\)                   -------------------- (6)

A The potential at point P due to charge Q2 is determined using equation (i): The potential of charge Q1 and the potential of charge Q2. This is given using equations (c) and (d) in equation (ii) as:

\(V_P = 9.0 * 10^9Nm^2/C^2 (\frac{4.20*10^-12C-6(4.20*10^-12C)}{\sqrt{(0.082m)^{2} + (0.082m)^{2} } })\)

= -1.78V

The total electrical potential at the point P due to charge Q1 and Q2 , located at a distance of 6.71 cm is -1.78V.

Learn more about Distance:

https://brainly.com/question/15172156

#SPJ4

we have to calculate the values ​​of A and B, so we have to:

\(A=100\\B=5\)

Since the equation is:

\(R(X)=(500+ax)(50-bx)\)

And the following information was given:

A school typically sells 500 yearbooks each year for $50 each.

The economics class discovers that they can sell 100 more yearbooks for every $5 decrease in price.

So knowing that by increasing 100 more books sold this is equal to A and the decrease in value is going to be equal to b.

\(R(X)=(500+100x)(50-5x)\)

See more about equation at brainly.com/question/2263981

Answer:

cos (C) = (2x + 5) / (3x + 2)

Step-by-step explanation:

The cosine ratio is cos (θ) = adjacent side/hypotenuse.

When C is θ, BC is the adjacent side and AC is the hypotenuse (always opposite the right angle).

Since BC =2x + 5 and AC = 3x + 2, cos (C) = (2x + 5) / (3x + 2)

Answer:

any number less than 3

Step-by-step explanation:

Answer:

20,000 per sq. km.

Step-by-step explanation:

In this question, the variable k represents the total number of people in a single square km. Since we are provided both the total number of the population and the total square kilometers of the land, we can calculate the value of k by dividing the population size by the total land. Therefore, the calculation would be the following...

\(\frac{10,400,000 people}{520km^{2} }\) = k

20,000 per sq. km. = k

Finally, we can see that the value of k is 20,000 per sq. km.

Answer:

= 18x + 4y hope this helps :)

Step-by-step explanation:

Answer:

18x+4y

Step-by-step explanation: