A 0.460kg toy car is pushed with an initial velocity of 8.00m/s up a frictionless incline. How high above the ground does it get?

This exercise is about creating two-dimensional shapes. The resulting shape is a quadrilateral - Square. See the attached for the lines drawn.

What was noticed about the two lines drawn?

When two lines intersect with one another such that they create a right angle, perpendicularity has occurred and both lines are said to be perpendicular to one another.

Hence:

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Here is the full question:

Triangle ABC is a right-triangle and sin(53o) = StartFraction 4 Over x EndFraction. Solve for x & round to the nearest whole number.

Triangle A B C is shown. Angle A C B is a right angle and angle B A C is 53 degrees. The length of B C is 4 centimeters, the length of A C is y, and the length of hypotenuse A B is x.

Which equation correctly use the value of x to represents the cosine of angle A?

cos(53o) = StartFraction 4 Over x EndFraction cos(53o) = StartFraction y Over 5 EndFraction cos(53o) = StartFraction x Over 4 EndFraction cos(53o) = StartFraction 5 Over y EndFraction

Answer:

cos(53°) = StartFraction y Over 5 EndFraction

Step-by-step explanation:

From the information above:

The sketch of the triangle is drawn and attached in the diagram below.

To find x using the sine rule,

We know that:

\(Sin \theta = \dfrac{opposite}{hypothenuse}\)

∴

\(Sin (53^0) = \dfrac{4}{x}\)

Making x the subject of the formula:

\(x = \dfrac{4}{Sin \ 53^0}\)

\(x = \dfrac{4}{0.7986}\)

\(x \simeq 5\)

Now, the equation that correctly uses the value of x can be determined by finding the cosine of ∠ A.

Recall that:

\(Cos \theta = \dfrac{adjacent}{hypothenuse}\)

\(Cos \ 53^0 = \dfrac{y}{x}\)

where; x = 5

\(Cos \ 53^0 = \dfrac{y}{5}\)

Thus, the equation that correctly uses the value of x to represent the cosine of angle A is:

cos(53°) = StartFraction y Over 5 EndFraction

Answer:

simple answer B

Step-by-step explanation:

Answer: Its c

Step-by-step explanation:

I did it

The function that represents the total cost, in dollars, of a rafting trip at the resort is f(x) = 25x + 45

For given question,

the fixed cost to rent a raft is $45

and the per person cost for each person in the raft is $25.

Here, the variable cost is the per person cost for each person in the raft as it depends on the number of people in the raft.

Let, x be the number people

The cost for 'x' people would be,

25x

So, the function that represents the total cost, of a rafting trip at the resort as a function of the number of people in the raft would be,

f(x) = 25x + 45

Therefore, the function that represents the total cost, in dollars, of a rafting trip at the resort is f(x) = 25x + 45

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Answer:

\(f(n)=f(n-1)+22\).

Step-by-step explanation:

Note: In the given function it should be (n-1) instead of (n=1).

Consider the given function is

\(f(n)=-11+22(n-1)\)

It is the explicit form of an A.P.

For \(n=1\),

\(f(1)=-11+22(1-1)=-11+0=-11\)

For \(n=2\),

\(f(2)=-11+22(2-1)=-11+22=11\)

Common difference is  

\(d=a_2-a_1=11-(-11)=11+11=22\)

The recursive formula of an A.P. is

\(f(n)=f(n-1)+d\)

Substitute \(d=22\) in the above formula.

\(f(n)=f(n-1)+(22)\)

\(f(n)=f(n-1)+22\)

Therefore, required recursive formula is \(f(n)=f(n-1)+22\).

Answer:

17

Step-by-step explanation:

The 'y' is increasing by 4 every time 'x' is going up by 1

Answer:

10

Step-by-step explanation:

\(x + 5 = 15 \\ x + 5 - 5 = 15 - 5 \\ x = 10 \)

Answer:

Part A) C

Part B) A

Step-by-step explanation:

For part B I solved for a (adults) which then I got 5

I will attach an image of my work for part b

sorry for the poor quality picture

The system of equations that represents the given scenario is a + c = 20, 15a + 10c = 225 and the solution to the system of equations is a = 5 (adults) and c = 15 (children).

Two or more expressions with an Equal sign is called as Equation.

Let a represent the number of adult tickets and c represent the number of children's tickets.

The total number of tickets purchased is 20, so we have:

a + c = 20

The cost of an adult ticket is $15 and the cost of a children's ticket is $10. The total cost of the tickets is $225, so we have:

15a + 10c = 225

Therefore, the system of equations that represents the given scenario is:

a + c = 20

15a + 10c = 225

Now let us solve a and c values by using substitution method.

a=20-c

Now substitute in equation 15a + 10c = 225

15(20-c)+ 10c = 225

300 - 15c + 10c = 225

-5c = -75

c = 15

Substituting c = 15 into the first equation, we get:

a + 15 = 20

a = 5

Therefore, the system of equations that represents the given scenario is

a + c = 20, 15a + 10c = 225 and the solution to the system of equations is a = 5 (adults) and c = 15 (children).

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Answer:

y= P(0.87)^t

Step-by-step explanation:

Given data

Price P=  $24,000

Rate of decay in price= 13%

The expression in terms of y, p and t  is

y=P(1-r)^t

y= P(1-0.13)t

y= P(0.87)^t

Besides the hourly wage, other important factors when choosing a job may include the job benefits, work-life balance, job security, career growth opportunities, company culture, and commute time.

While the hourly wage is a crucial aspect of a job, other factors can significantly impact job satisfaction and overall quality of life.

For example, job benefits such as health insurance, retirement plans, and paid time off can help provide financial security and peace of mind.

Work-life balance is also critical, particularly for those with family obligations. A job that offers flexible working hours or remote work options can be appealing to parents with children.

Job security is another factor that people consider when choosing a job, as it can provide stability and minimize stress.

Career growth opportunities can also be important, as they allow employees to develop their skills and advance in their careers.

Finally, company culture can play a significant role in job satisfaction, as it can impact work relationships, communication, and overall job enjoyment.

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In general, there are many factors that people consider when choosing a job beyond the hourly wage. like cultural values.growth opportunities.lifestyle, benefits like health insurance, and commutes.

and advancement possibilities.

Company culture and values

Opportunities for career growth and advancement

Location and commute

Benefits such as health insurance, retirement plans, and paid time off

Work-life balance and flexibility

Job security and stability

Opportunities for learning and development

The nature of the work itself and the level of challenge it presents

The reputation of the company or industry

Being married with children can certainly affect one's decision when choosing a job. Factors such as work-life balance, flexibility, and benefits like parental leave become more important for individuals with families. The location of the job may also be a consideration if it impacts the school district in which their children attend. Additionally, if a job requires frequent travel or long hours, it may be less desirable for someone with family responsibilities.

We can elaborate on these factors:

Company culture and values: A company's culture and values can play a significant role in job satisfaction and overall well-being. Employees may prefer a company that has a positive work environment, a sense of community, and a commitment to ethical practices and social responsibility.

Opportunities for career growth and advancement: Many employees want to feel that they have opportunities to learn new skills, take on new challenges, and advance in their careers. This can include opportunities for promotion, training and development programs, and mentorship.

Location and commute: The location of a job can have a significant impact on an individual's decision to accept an offer. Factors such as proximity to home, traffic, and accessibility of public transportation can all influence the decision.

Benefits such as health insurance, retirement plans, and paid time off: Employers who offer comprehensive benefits packages can be more attractive to potential employees. Benefits such as health insurance, retirement plans, and paid time off can be critical for individuals with families.

Work-life balance and flexibility: Many individuals prioritize jobs that offer work-life balance and flexibility. This can include flexible scheduling, remote work options, and the ability to take time off for personal reasons.

Job security and stability: Individuals may prefer jobs that offer long-term stability and security. This can be especially important during times of economic uncertainty.

Opportunities for learning and development: Many employees want to continue learning and developing their skills, so jobs that offer opportunities for professional growth and development can be very attractive.

The nature of the work itself and the level of challenge it presents: For some individuals, the nature of the work itself is the most important factor. They may prefer jobs that challenge them intellectually or that allow them to make a difference in the world.

The reputation of the company or industry: The reputation of a company or industry can influence an individual's decision to accept a job offer. For example, some individuals may be more attracted to working for a company with a strong reputation for ethical practices or environmental sustainability.

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The value of the calculated percent markup of the shirt is 11.1%

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

A department store buys 200 shirts at a cost of ​$ 3600 and sells them at a selling price of ​$ 20 each.

This means that

Cost price = 3600/200

Evaluate

Cost price = 18

The percent markup of the shirt is then calculated as

Percentage = (20 - 18)/18

Evaluate

Percentage = 11.1%

Hence, the percent markup of the shirt is11.1%

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Answer:

1/10

Step-by-step explanation:

Use change in y divided by change in x formula

Answer:

1 / (99 - 40x).

Step-by-step explanation:

The whole of g(x) is input to f(x), so:

we replace the x in f(x) by g(x).

f(g(x)) =  1 /  [8(12 - 5x) + 3]

=  1 /( 96 - 40x + 3)

= 1 / (99 - 40x).

Answer:

x = 5

Step-by-step explanation:

Translate the word problem into an equation and solve for x

4x - 25 = -x

Add 25 to both sides

4x = -x + 25

Add x to both sides

5x = 25

Divide both sides by 5

x = 5

Answer:

Step-by-step explanation:

since they say that there are the 3 parallelograms, and that the two small ones are also part of the bigger one.. then HJ and FG are parallel lines and there fore  ∠2 ≈ ∠3

:)

Step-by-step explanation:

x^2 -y^2 = 25

x/y = 3/2    or   x = 3/2 y   <=====sub into first equation

(3/2 y)^2 - y^2 = 25

9/4 y^2 - y^2 = 25

5/4 y^2 = 25

y^2 = 25 (4/5) = 20

y = sqrt (20) = 2 sqrt 5

                then x = 3/2 y =  3 sqrt5

Therefore, the weight of B is 31 kg.

Let's solve the problem step by step.

1.Let's assign variables to the weights of the three individuals:

Weight of A = a

Weight of B = b

Weight of C = c

2.We are given that the average weight of A, B, and C is 45 kg:

(a + b + c) / 3 = 45

3.We are also given that the average of A and B is 40 kg:

(a + b) / 2 = 40

4.Additionally, we are given that the average of B and C is 43 kg:

(b + c) / 2 = 43

5.From equation 3, we can solve for a + b:

a + b = 2 * 40

a + b = 80

6.Substituting this value into equation 1:

(80 + c) / 3 = 45

7.Solving equation 6 for c:

80 + c = 3 * 45

80 + c = 135

c = 135 - 80

c = 55

8.Substituting the value of c into equation 4:

(b + 55) / 2 = 43

9.Solving equation 8 for b:

b + 55 = 2 * 43

b + 55 = 86

b = 86 - 55

b = 31

Therefore, the weight of B is 31 kg.

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Answer:

3

Step-by-step explanation:so it’s simple you just have to see how many Xs to put on each number and then you get your answer.

Answer:

interior angle=5&3 and4&6

exterior angle=5&2,6&1,3&8,4&7

Answer: 3 gigabytes

Step-by-step explanation:

54 + 3x < 65

3x < 11

x < 11/3

The largest whole number that's less than 11/3 is 3.

Answer:

Step-by-step explanation:

i think 1

The sum of both angles must be 180°, therefore:

(2x+24) + (4x+36) = 180°

6x + 60 = 180°

6x = 120°

x = 120/6 = 20°

Then, the smaller angle is 2*20 + 24 = 64

Correct answer is A. Amal owes Bella  x 3(-2.5)

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) component are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

Given,

School sells bags of popcorn on Fridays for $2.50.

money paid back to Bella after 3 weeks - 1/2

⇒ Amal owes Bella =  x 3(-2.5)

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Answer:

8√3

Step-by-step explanation:

Sin 30 =4√3/DE

DE = 4√3/Sin30 = 8√3

Answer:

\( {8}^{6} \div 8 \\ = {8}^{6} \div {8}^{1} \\ = {8}^{(6 - 1)} \\ = {8}^{5} \)

Answer:

\(8^{5}\) or 32768

Step-by-step explanation:

When dividing exponents, you subtract the exponent on the top from the one on the bottom:

\(8^{6}\)/\(8^{1}\) = \(8^5\)  because 6-1 = 5

False. According to the SMCRE model, which stands for Source, Message, Channel, Receiver, and Environment, presenters do not have the most control over the source variable.

According to the SMCRE model, which stands for Source, Message, Channel, Receiver, and Environment, presenters do not have the most control over the source variable. In this model, the source variable refers to the information being presented or communicated. While presenters can influence the source through their choice of content and delivery, they do not have complete control over it. The source variable can also include factors such as the underlying research, data, or ideas being conveyed, which may not be directly controlled by the presenter. Other variables, such as the message, channel, receiver, and environment, also play significant roles in the overall communication process.

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\(\qquad\qquad\huge\underline{{\sf Answer}}\)

Here we go ~

\(\qquad \tt \dashrightarrow \: \sin(x) = 0.6\)

\(\qquad \tt \dashrightarrow \: \sin(x) = \dfrac{6}{10} \)

\(\qquad \tt \dashrightarrow \: \sin(x) = \dfrac{3}{5} \)

\(\qquad \tt \dashrightarrow \:x = \sin {}^{ - 1} ( \dfrac{3}{5} ) \)

\(\qquad \tt \dashrightarrow \:x = 37 \degree\)

Now, since we have to find the value of x in quadrant 2, we have to subtract the given value from 180°

that is :

\(\qquad \tt \dashrightarrow \:x = 180 - 37\)

\(\qquad \tt \dashrightarrow \:x = 143 \degree\)

Answer:

$1.60

Step-by-step explanation:

$3.60 divided by 2 1/4 is $1.60

Answer:

I think it's c pick c it's c

Answer:

the answer is d

Step-by-step explanation:

A function can not have an input with more than one outcome