Simplify the following expression: a + 2c − 5b − c + a − b 2a − 6b + 2c 2a − 6b + c a − 6b + c a − 5b + 2c

Answer:

354 m

Step-by-step explanation:

to find the height substitute t = 3.5 into the height polynomial

height = - 16(3.5)² + 550 = - 16(12.25) + 550 = - 196 + 550 = 354

Answer:

$289.8 in 18 hours hourly wage for him is $16.1

Step-by-step explanation:

322/20=16.1- $16.1

16.1x18=$289.8

The velocity of the bullet just as it emerges from the rifle is 45.1 m/s.

(a) To derive the expression to calculate the velocity of the bullet just as it emerges from the rifle, we can use the kinematic equation that relates the position, velocity, time and acceleration of an object:  s = ut + 0.5at²  ... (1)

In the vertical direction, the acceleration is due to gravity, and is equal to -9.81 m/s². Therefore, the vertical component of the initial velocity u_y is:  

u_y = v₀sinθ  ... (2)

where {v₀} is the initial speed of the bullet and

θ is the angle between the barrel of the rifle and the horizontal, which is 0°.

Therefore, θ = 0° and  sinθ = 0.

Substituting this into equation (2), we get:  

u_y = 0  ... (3)

Since the bullet hits the target 10 cm below the center, the vertical displacement h of the bullet is -10 cm or -0.1 m. Substituting this into equation (1), and solving for the initial speed of the bullet v₀, we get:  

h = u_y*t + 0.5at²

=> \({v_0} = \frac{{h}}{\sin{\theta}\sqrt{\frac{2h}{a}}}\)  ... (4)

Substituting the values of {h}, {\theta} and {a}, we get:

\({v_0} = \frac{-0.1}{\sin 0°\sqrt{\frac{2(-0.1)}{-9.81}}}\)

=>  v₀ = 45.1 m/s

(b) The velocity of the bullet just as it emerges from the rifle is 45.1 m/s.

To know more about velocity, visit:

https://brainly.com/question/24259848

#SPJ11

(i) The graph is attached below. (ii) the minimum value of the function is h = 30, when x = 5. (iii) the horizontal distance traveled by the rider between the two splashes is 2 × 9 m = 18 m.

Acceleration is a physical quantity that measures the rate at which the velocity of an object changes over time. It is a vector quantity, meaning that it has both magnitude and direction.

Acceleration is defined as the change in velocity of an object divided by the time interval over which the change occurred. It is typically measured in meters per second squared (m/s²) in the metric system, or in feet per second squared (ft/s²) in the imperial system.

If the velocity of an object is increasing, its acceleration is said to be positive. If the velocity is decreasing, the acceleration is said to be negative or deceleration. If the velocity is constant, there is no acceleration.

(i) Using the given scale, we can plot the graph of h = 1.2x² - 12x + 30 for 0 ≤ x ≤ 10 as follows:

Parabolic graph is attached below.

(ii) The constant term 30 in the equation represents the minimum height of the pirate ship ride above ground level. This is because the equation is in the form of a quadratic function in standard form, y = ax² + bx + c, where the vertex of the parabola is at the point (-b/2a, c - b²/4a). In this case, the vertex is at (5, 0), which means that the minimum value of the function is h = 30, when x = 5.

(iii) We are given that a rider is 19.2 m above ground level, which means that h = 19.2. We can substitute this value into the equation and solve for x:

19.2 = 1.2x² - 12x + 30

1.2x² - 12x + 10.8 = 0

x² - 10x + 9 = 0

(x - 1)(x - 9) = 0

Therefore, the rider is at a height of 19.2 m when he is either 1 m or 9 m away from the starting point. Since the rider swings back and forth, the distance between the two splashes is twice the distance from the starting point to either splash. Therefore, the horizontal distance traveled by the rider between the two splashes is:

2 × 9 m = 18 m

To know more about equation  visit:

https://brainly.com/question/12279309

#SPJ1

Step-by-step explanation:

Using Pythagorean Theorem for right triangles

Resultant ^2 = 8.4^2 + 14.7^2

resultant = 16.93 miles  

Answer:

no

Step-by-step explanation:

-7 is bigger

Answer:

no, its less

Step-by-step explanation:

because in negatives the higher the number is (ex: -10) the less the value is, so its the opposite of positive numbers

Answer:

Y = -2,  X = 4

Step-by-step explanation:

When you first use the elimination method, you would multiply 2x-y = 10 by -2 so that you could get the 4x to be eliminated.

4x-3y = 22

(2x-y = 10)-2 = -4x + 2y = -20

When you add those 2 together you are left with -y = 2, which you divide by negative to get y = -2. Then you substitute -2 for y to solve for x. I substituted the bottom equation

2x - (-2) = 10

2x +2 = 10

2x = 8

Divide both sides by 2 to get x = 4.

Answer:

Step-by-step explanation:

22%

Lou and Mira can rescind the contract to sell an MP3 player to Mira for $50 if both parties agree to the terms of rescission and sign a written agreement.

Rescission of a contract refers to an equitable remedy granted by the courts or given as a contractual right to one party to terminate a contract. This remedy returns the parties to their former positions before the contract's execution, which requires that both parties to a contract return whatever benefits they had received during the transaction.

In Lou and Mira's scenario, the rescission of their contract to sell an MP3 player to Mira for $50 can be possible if the parties reach an agreement to rescind the contract in writing. The following steps should be taken to rescind the contract:

1. The parties should agree to rescind the contract: For a rescission to be effective, both parties must consent to rescind the contract. This is possible if both parties agree to the terms of rescission and sign a written agreement. The agreement must state the date of rescission, the reason for the rescission, and the terms of the agreement.

2. Restitution: Restitution refers to the return of the subject matter of the contract. Since it is an MP3 player, Lou must return the MP3 player to Mira. In turn, Mira must also return the $50 to Lou. This will effectively end the contract, and the parties can go their separate ways.

3. Cancellation of any obligations: The parties must agree to cancel any obligation that arose from the contract. In this case, no obligations may arise from the rescission of the contract, so no further action is required.

4. Record keeping: It is crucial to keep a record of the rescission agreement. This record will serve as evidence of the rescission if any legal issues arise. It should include the date of rescission, the reasons for rescission, and the terms of the agreement. The parties must keep a copy of the document for their records.

In conclusion, Lou and Mira can rescind the contract to sell an MP3 player to Mira for $50 if both parties agree to the terms of rescission and sign a written agreement. The agreement must include the date of rescission, the reason for rescission, and the terms of the agreement.

Learn more about agreement

https://brainly.com/question/24225827

#SPJ11

Arguments are a key component of political campaigns. They are used to convince voters to support a particular candidate or issue. Political campaigns often make claims, which are statements that assert a fact or belief. These claims are backed up by reasoning, which is the evidence or explanation that supports the claim. The conclusion is the result of the reasoning and supports the overall argument.

For example, a candidate may claim that they have a plan to improve the economy. The reasoning may be that the candidate has experience in business and has implemented successful economic policies in the past. The conclusion is that if the candidate is elected, they will be able to improve the economy.
Political campaigns also use arguments to attack opponents and discredit their claims. They may use reasoning to point out flaws in their opponent's plans or past actions. The conclusion is that the opponent is not fit for office and voters should not support them.

Overall, arguments are a crucial tool in political campaigns. They are used to persuade voters and shape public opinion. Successful candidates and campaigns are often those that can make the most convincing arguments and win over the most supporters.

To know more about political campaigns visit:

https://brainly.com/question/29889385

#SPJ11

The area of the rectangle is 9 square centimeters

Let's denote the width of the rectangle as w (in cm).

According to the given information, the length of the rectangle is 3 more than twice its width, which can be expressed as 2w + 3 (in cm).

The formula for the perimeter of a rectangle is given by:

Perimeter = 2(length + width)

In this case, the perimeter is given as 15 cm.

So, we can set up the equation:

15 = 2((2w + 3) + w)

Simplifying the equation:

15 = 2(3w + 3)

Expanding:

15 = 6w + 6

Subtracting 6 from both sides:

9 = 6w

Dividing both sides by 6:

w = 1.5 cm

Now that we have the value of the width, we can substitute it back into the expression for the length:

Length = 2w + 3

Length = 2(1.5) + 3

Length = 3 + 3

Length = 6 cm

The area of a rectangle is given by the formula:

Area = length \(\times\) width

Substituting the values we obtained:

Area = 6 \(\times\) 1.5

Area = 9 cm².

For similar question on rectangle.

https://brainly.com/question/2607596  

#SPJ11

Answer:

Al evento entraron 82 adultos y 18 menores de edad.

Step-by-step explanation:

De acuerdo a la información proporcionada, puedes plantear las siguientes ecuaciones:

x+y=100 (1)

90x+45y=8190 (2), donde:

x es el número de adultos

y es el número de menores de edad

Puedes despejar x en (1):

x=100-y (3)

Después, puedes reemplazar (3) en (2):

90(100-y)+45y=8190

9000-90y+45y=8190

9000-8190=90y-45y

810=45y

y=810/45

y=18

Ahora, puedes reemplazar el valor de y en (3) para encontrar x:

x=100-y

x=100-18

x=82

De acuerdo a esto, la respuesta es que al evento entraron 82 adultos y 18 menores de edad.

(a) The initial speed of the projectile - 28.2m/s

(b)The total time interval the projectile was in flight - 4.07s.

a) When a projectile is launched with speed \(v_{i}\) at an angle above the horizontal, the initial velocity components are \(v_{xi}\) = \(v_{i}\) cos\(θ\) and                  \(v_{yi}\)= \(v_{i}\) sin\(θ\) . Neglecting air resistance, the vertical velocity when the projectile returns to the level from which it was launched (in this case, the ground) will be \(v_{y} = - v_{yi}\) .

From this information, the total time of flight is found  \(v_{yf} = v_{yi} + a_{y}\) to be

         \(t_{total} = \frac{v_{yf} - v_{yi} }{a_{y}}\)   = \(\frac{-v_{yi} - v_{yi} }{-g}}\)  = \(\frac{2v_{yi} }{g}\)

         \(t_{total} = \frac{2v_{i}sinθ }{g}\)

Since the velocity of a projectile with no air resistance is constant, the horizontal distance it will travel in this time is given by

R = \(v_{xi} t_{total} = (v_{i} cosθ_{i}) \frac{2v_{i}sinθ }{g}\)  =  \(\frac{v^{2}_{i}}{g}( 2sinθ_{i} cosθ_{i} )\) = \(\frac{v^{2} _{i} (sin2θ_{i} ) }{g}\)

Thus, if the projectile is to have a range of R=81.1m when launched at an angle of \(θ_{i}\)=45.0°, the required initial speed is

\(v_{i} = \sqrt{\frac{81.1 * 9.80}{sin90} }\) = 28.2 m/s

Therefore, the initial speed of the projectile - 28.2m/s

b) With \(v_{i}\)=28.2m/s and \(θ_{i}\) = 45.0°, the total time of flight (as found

above) will be

        \(t_{total} = \frac{2v_{i}sinθ }{g}\)  = \(\frac{2(28.2 m/s) sin45}{9.80m/s^{2}}\) = 4.07s

∴The total time interval the projectile was in flight - was 4.07s.

c) Note that at \(θ_{i}\) =45.0° that sin(2\(θ_{i}\)) will decrease as \(θ_{i}\) is increased above this optimum launch angle. Thus, if the range is to be kept constant while the launch angle is increased above 45.0°, we see from \(v_{i}\) = \(\sqrt{\frac{Rg}{sin2θ_{i}} }\)that the required initial velocity will increase.

Observe that for \(θ_{i}\) <90°, the function sin\(θ_{i}\) increases as \(θ_{i}\) it increased. Thus, increasing the launch angle above 45.0° while keeping the range constant means that both \(v_{i}\) sins will increase. Considering the expression  \(t_{total}\) given above, we see that the total time of flight will increase.

Read more about projectile :

https://brainly.com/question/10680035

#SPJ4

The correct question is :

The record distance in the sport of throwing cowpats is 81.1m. This record toss was set by Steve Urner of the United States in 1981. Assuming the initial launch angle was 45° and neglecting air resistance, determine (a) the initial speed of the projectile and (b) the total time interval the projectile was in flight. (c) How would the answers change if the range were the same but the launch angle was greater than 45°? Explain.

Answer:

Ok, the domain is the set of values that we can input in a function.

In this case, we have:

y = Ix - 6I + 3.

Notice that there is no restriction here, x can actually take any value, then the domain will be the set of all real numbers.

The correct domain is x, x ∈ R

Now, if we had (for example) something like:

y = Ix - 6I < 3

Now we have a restriction in the domain because we can not have y equal or larger than 3.

To find the domain, we can break the absolute value:

Ix - 6I < 3

is equivalent to:

-3 < x - 6 < 3

now let's add 6 in each side.

-3 + 6 < x - 6 + 6 < 3 + 6

3 < x < 9

That will be the domain in that case.

The total amount is $967.5

The cost for renting the bus is, $450

The cost for food is, $28.75 per person.

Let x be the number of people the marching band could bring​, then,

Thus, it is the required equation. On solving we have,

Thus, the number of persons is 18.

Answer: The time taken for the cowboy to fill in the ranch is 12.53 mins.

Step-by-step explanation:

The given parameters:

- Length of the ranch, L = 1.53 m

- Width of the ranch, w = 61 cm = 0.61 m

- Width of the ranch, w = 61 cm = 0.61 m

- Depth of the ranch, h = 42 cm = 0.42 m

- Diameter of the hose, d = 2 cm

- Radius of the hose, r = 1 cm

- Speed of the water, v = 1.66 m/s

The volume of the ranch is calculated as follows:

V = Lwh

V = 1.53 x 0.61 x 0.42

V = 0.392 m³

but all in all the time taken for the cowboy to fill the ranch is 12.53 min.

Answer:

Step-by-step explanation:

yes but that is just me go to my page for why i think that

Answer:

x is 149 degrees.

Hope this helps!

Therefore, the double integral that computes the given function is ∫∫(x+y)dA, where the region D is bounded by the curves y = x^2 and x = y-6.

Sketch the region D to visualize the limits of integration.

Determine the limits of integration for x and y. Since x goes from y-6 to y, and y goes from 0 to 36, the limits of integration are:

0 ≤ y ≤ 36

y-6 ≤ x ≤ y

Set up the double integral with the limits of integration:

∫0^36 ∫y-6^y (x+y) dxdy

Integrate with respect to x first, then with respect to y:

∫0^36 [1/2(x^2+2xy)]y-6^y dy

= ∫0^36 [(1/2)y^3 - (3/2)y^2 + 9y - 27] dy

= 3960

Therefore, the double integral that computes the given function is ∫∫(x+y)dA, where the region D is bounded by the curves y = x^2 and x = y-6, and its value is 3960.

For more questions like Integral click the link below:

https://brainly.com/question/22008756

#SPJ11

Recall that the interior angles of a triangle add up to 180 degrees, then:

Now, recall that a right angle measures 90 degrees.

Then we can set the following equation:

Adding like terms we get:

Subtracting 105 degrees from the above equation we get:

Answer:

The average rate of change for the data from the 5th hour to the 8th hour is 8 dollars per hour.

Given

An ice cream truck sells ice cream between 2 p.m. and 10 p.m. each night in the summer.

At the end of the night, the driver calculates his profits and makes a graph to analyze the data.

The formula is used to find the average rate of change is;

\(\rm Average \ rate \ of \ change =\dfrac{x_2-x_1}{y_2-y_1}\)

Here, \(\rm x_1=54, \ x_2=78, \ y_1=1, \ y_2=4\)

Substitute all the values in the formula

\(\rm Average \ rate \ of \ change =\dfrac{x_2-x_1}{y_2-y_1}\\\\\rm Average \ rate \ of \ change =\dfrac{78-54}{4-1}\\\\\rm Average \ rate \ of \ change =\dfrac{24}{3}\\\\\rm Average \ rate \ of \ change =8 \ Doller \ per \ hour\)

Hence, the average rate of change for the data from the 5th hour to the 8th hour is 8 dollars per hour.

To know more about the Average rate click the link given below.

https://brainly.com/question/26451671

Answer:

-7 a hour

Step-by-step explanation:

The average rate of change is the ratio of the change in the dependent variable (Money Earned) to the change in the independent variable (Hour).

Thus, the average rate of change for the data from the 5th hour to the 8th hour is calculated using the points (5, 96) and (8, 75) from the graph. This is, what happens in the middle does not affect the average rate of change.

Answer:

$112

Step-by-step explanation:

So first figure out how much he makes an hour

8*4 is 32.

32*3 1/2 is $112

The amount that Chris will make will then be $112.

The first thing to do is to divide 3 1/2 by 1/4. This will be:

= 3 1/2 / 1/4

= 7/2 × 4/1

= 14

Now we'll then multiply 14 by $8. This will be:

= $8 × 14

= $112

The amount made will be $112.

Read related link on:

https://brainly.com/question/19965204

Answer:

There is No real solutions.

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

LMN is one big line

LM=22

LM=15

LN=22+15=37

Answer:

LN = LM + MN = 37

Step-by-step explanation:

L————————-M———————-N

22. 15

L————————-37———————-N

The correct statement are:

Based on the given information, we can make the following conclusions:

A. The interquartile range for high school students is smaller than college students.

The statement is False

B. The mean for high school students is smaller than college students.

The statement is False because the mean of College is 25.28 and mean for High school is 30.4.

C. The range for high school students is larger than college students.

The statement is True .

D. The college median is equal to the high school median.

The statement is True because the median for both is 24..

E. The mean absolute deviation is larger for college students than high school students.

The statement is False.

Learn more about plot here:

https://brainly.com/question/32275669

#SPJ1

The relationship between a statistic and a parameter is the same as the relationship between , Option(A) a sample and a population

The Population is defied as an entire group of individuals that we are interested in studying, while a sample is a subset of that population that we actually observe and collect data from.

A Parameter is defined as a numerical characteristic of a population, such as its mean or variance, whereas a statistic is a numerical characteristic of a sample, such as its sample mean or sample standard deviation.

The relationship between a sample and a population is similar to the relationship between a statistic and a parameter because a sample is used to estimate  information about the population, and a statistic is used to estimate  information about a parameter.

Learn more about Parameter here

https://brainly.com/question/9192779

#SPJ4

The answer to the question is no, if a test is significant at the 0.01 level, it is not necessarily significant at the 0.02 level.

Statistical significance refers to the likelihood that the results of a study or experiment are not due to chance. The significance level, also known as alpha, is the probability of rejecting the null hypothesis when it is actually true. In other words, it is the probability of making a type I error.

When we set a significance level of 0.01, we are saying that we are willing to accept a 1% chance of making a type I error. This means that if we were to repeat the experiment many times, we would expect to see a false positive result (rejecting the null hypothesis when it is actually true) about 1% of the time.

If we were to increase the significance level to 0.02, we would be saying that we are willing to accept a 2% chance of making a type I error. This means that we would expect to see a false positive result about 2% of the time if we were to repeat the experiment many times.

Therefore, just because a test is significant at the 0.01 level does not mean that it will be significant at the 0.02 level. The higher significance level allows for more false positives, so it is possible that results that were significant at the lower level may not be significant at the higher level.

In conclusion, statistical significance depends on both the significance level and the specific results of an experiment or study, and increasing the significance level may change whether or not results are considered significant.

To know more about type I error refer here :

https://brainly.com/question/32609769#

#SPJ11

when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one.  Check the picture below.

\(\cfrac{4}{x}~~ = ~~\cfrac{x}{9}\implies 36=x^2\implies \sqrt{36}=x\implies 6=x\)

Answer:

42 units²

Step-by-step explanation: