Determin whether the relation defines a function, and give the domain and range.

The fraction is the value of an amount ranging from 0 to 1 so Ali's fraction is 1/2.

The fraction is the division of the two numbers but the division is not wholly complete.

The upper word is called numerator while the lower term is called the denominator.

Given that,

Tony is bringing 2 bags, Ali is bringing 3 bags and Natasha is bringing 1 bag.

Number of total bags = 2 + 3 + 1

⇒ 6

The number of bags that Ali brought = 3 bags.

Fraction of bag's that Ali brought = The number of bags that Ali brought / Number of total bags

⇒ 3/6 = 1/2

Hence "The fraction is the value of an amount ranging from 0 to 1 so Ali's fraction is 1/2".

For more about fractions,

https://brainly.com/question/10354322

#SPJ1

Answer:

A = { Multiples of five }

B = { colours of rainbow }

C = { day's of week }

D = { letters of universe }

E = { months of a year }

Step-by-step explanation:

please make my answer as brainelist

Answer:

11.5 [h].

Step-by-step explanation:

1) if the unknown time is 't', then

2) it is possible to make up the equation:

[tex]\frac{900}{9} =\frac{1150}{t};[/tex]

3) if to solve this equation, then t is:

t=1150*9/900=1150/100=11.5 [hours].

The market equilibrium point will be at a price of 70 and the quantity of 80.

From the information, the supply and demand for a product are given by 2p − q = 60 and pq = 100 + 25q.

From 2p − q = 60

q = 2p - 60

Substituting this in pq = 100 + 25q.

p(2p - 60) = 100 + 25(2p - 60)

2p² - 70p = 100 + 50p - 1500

2p² - 70p - 50p - 100 + 1500 = 0

2p² - 120p + 1400 = 0

Divide through by 2

p² - 60p + 700 = 0

p² - 70p + 10p - 700 = 0

p(p - 70) + 10(p - 70) = 0

p - 70 = 0

p = 0 + 70 = 70

Since 2p − q = 60

2(70) - q = 60

140 - q = 60

q= 140 - 60 = 80

Therefore, the market equilibrium point will be at a price of 70 and the quantity of 80.

Learn more about equilibrium on:

brainly.com/question/517289

#SPJ1

Answer:f(x)=-1

F(x)=-2(-1)-3=-1

Answer:

W2z

Step-by-step explanation:

becuase

Answer: Yes, the point (-4, -81) does satisfy the equation.

Step-by-step explanation:

1) Plug in x and y values: -81 = 19(-4) + (-5)

2) Solve above equation: -81 = -76 - 5

                                          -81 = - 81

The equality is true because both sides are identical.

A cartesian plane is a plane with two axes namely x axis and y axis.

A Cartesian plane is a graph with one x-axis and one y-axis and thus is also sometimes known as a x y graph.

These two axes are perpendicular to each other that is they form an angle of 90° with each other.

The origin (O) is in the exact center of the graph and is the point where the two axes intersect.

Numbers to the right of the zero on the x-axis are positive and the numbers to the left of zero are negative. ( as the case in number line as well)

Similarly, the number on the top of the center on y axis are positive and the numbers below are negative.

It can be used to represent any 2 D figure.

Therefore, a cartesian plane is a plane with two axes namely x axis and y axis.

Learn more about Cartesian plane here:

https://brainly.com/question/11337174

#SPJ9

The total annual contribution will be $8437 and the biweekly contribution is $450.

An effective way to guard against financial loss is insurance. It is a method of risk management that is primarily employed to protect against the risk of a potential loss.

Given that the total cost is $12,988 annually and the employer pays 25% of the total cost. She also pays the optional annual dental premium of $980 and the optional vision premium of $324.

The annual contribution will be calculated as below:-

Annual contribution = 12988 - 3247 - 980 - 324

Annual contribution = $8437

The biweekly contribution will be calculated as below:-

Biweekly contribution = ( 12988 / 26) - ( 980 / 26 ) - ( 324 / 26 )

Biweekly contribution = 500 - 37.6 - 12.46

Biweekly contribution = $450

Therefore, the total annual contribution will be $8437 and the biweekly contribution is $450.

To know more about insurance premiums follow

https://brainly.com/question/12498590

#SPJ1

Answer:

(a) f(-3) = 27

(b) f(0) = 6

(c) f(4) = -22

Step-by-step explanation:

     To solve, we will input x as -3 into the function.

f(x) = 6 - 7x

f(-3) = 6 - 7(-3)

f(-3) = 27

     We will do this for the other values as well.

f(x) = 6 - 7x

f(0) = 6 - 7(0)

f(0) = 6

-

f(x) = 6 - 7x

f(4) = 6 - 7(4)

f(0) = -22

Answer:  75

Step-By-Step Explanation. 60 / 4 = 15, it takes 15 minutes for each tent.

15 x 5 = 75

so it takes them 75 minutes to do 5 tent

tell me if i'm wrong and if so tell me what the right answer was have a nice day

One popular rule of thumb is the 30% rule,

which says to spend around 30% of your gross income on rent.

So if you earn $2,800 per month before taxes,

you should spend about $840 per month on rent.

To calculate,

simply divide your annual gross income by 40 - if you make $120,000 a year, you can spend $3,000 on rent.

An equivalent is the 30% rule, meaning that you can put 30% of your annual gross income in rent.

If you make $90,000 a year, you can spend $27,000 on rent, and so your monthly rent will be $2,250.

For example, for a home valued at $250,000, a landlord could charge between $2,000 and $2,750 each month.

If your home is worth $100,000 or less, it's best to charge rent that's close to 1% of its value.

To determine daily rent, the total number of days are divided by the monthly rent.

To get an appropriate calculation for how much each roommate should pay depending on the size of their room, take the square footage of each room and divide by the total square footage of the apartment. This will give you a percentage for the size and value of each room, which you can apply to the total cost of rent.

to know more about annual income ;

visit; brainly.com/question/28341339

#SPJ9

hmmm when it comes to doing operations with decimals, we can hmmm say for this case, the product, we can just toss the dot and perform the multiplication straight up with only 4099 * 21, and then we'll include the decimal point.

[tex]40.\underline{99}\times 2.\underline{1} \\\\[-0.35em] ~\dotfill\\\\ 4099\times 21\implies \begin{array}{rllll} 4099\\ \times 21\\\cline{1-1} 4099\\ +8198~~\\ \dotfill\\ 86079 \end{array}\hspace{5em}86\underline{079}\implies 86.079[/tex]

now, let's notice, our product was really 86079, then we go back, 40.99 has two decimals, and 2.1 has one decimal, so we have a total from both of three decimals, so our product must have also three decimals, so we move the dot from the right to the left by 3 slots.

Answer:

[tex]-\dfrac{1}{2}[/tex]

Step-by-step explanation:

Slope Formula

[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Where (x₁, y₁) and (x₂, y₂) are points on the line.

Given points:

Substitute the given points into the formula and solve for m:

[tex]\implies \textsf{slope}\:(m)=\dfrac{1-3}{12-8}=\dfrac{-2}{4}=-\dfrac{1}{2}[/tex]

Therefore, the slope of the line for the path of the track is -¹/₂.

Based on the expenses, and the club donations, it can be inferred that the amount that the pancake breakfast grossed was $932.

Gross income refers to the amount that a company, project, or individual makes from sales before they have to withdraw their expenses.

In this case, the gross amount that the pancake business grossed was:

Amount of proceeds = Gross amount - Expenses

Gross amount = Amount of proceeds + Expenses

Solving for the gross from the pancake business gives:

= 880 + 52

= $932

Find out more on gross proceeds at https://brainly.com/question/15530787

#SPJ1

Answer:

A single tree can be made into 730 sheets of paper.

Step-by-step explanation:

Give me Brainliest if that helped! :)

Step-by-step explanation:

∠ 2 = 58°

∠ 2 +∠ 1 = 180° ( being straight angle )

58° + ∠ 1 = 180°

∠ 1 = 180- 58°

∠ 1 = 122°

☘☘☘...

The minimum score you need on the fourth test to get a B is 146.

To get a B, you need to get an average of 80% in all four scores.

The first 3 tests have a total of 100 points, and you got:

79, 77, and 91

So the percentage that you got in these 3 tests is:

79%, 77%, 91%

Now, let's say that X is the percentage you get in the last test, we must have that the average is 80%, then:

(79% + 77% + 91% + X)/4 = 80%

Solving that for x, we will get:

X = 4*80% - $79 - 77% - 91% = 73%

So you need to get at least a 73% of the last test, and that test has 200 points, so you need to get:

P = 0.73*200 = 146

The minimum score you need on the fourth test to get a B is 146.

If you want to learn more about percentages:

https://brainly.com/question/843074

$SPJ1

The minimum score needed on the fourth test to get a B grade for the course is; 153 points.

It follows from the task content that the first 3 tests attract 100 points each while the fourth test attracts 200 points. On this note, it follows that the total number of points attainable is; 500 points.

To get 80%, one must get; (80/100) × 500 = 400 points.

Hence, the minimum score needed on the fourth test to get a B is; 400 - 79 - 77 - 91 = 153 points.

Read more on percentages;

https://brainly.com/question/843074

#SPJ1

Answer:

The correct fraction is 13/20.

Step-by-step explanation:

[tex].65 = \frac{65}{100} = \frac{13}{20} [/tex]

Answer:

3.00 kg (2 d.p.)

Step-by-step explanation:

Gravitational Potential Energy (GPE):  Energy stored in a mass due to its position.  The amount of GPE an object has depends on its mass and its    height above the ground.

[tex]\large\boxed{\textsf{GPE}=mgh}[/tex]

where:

Given:

Substitute the given values into the formula and solve for m:

[tex]\implies 44.12=m \times 9.8 \times 1.5[/tex]

[tex]\implies 44.12=14.7m[/tex]

[tex]\implies m=\dfrac{44.12}{14.7}[/tex]

[tex]\implies m=3.001360544...[/tex]

[tex]\implies m=3.00\:\:\sf kg\:(2\:d.p.)[/tex]

Therefore, the mass of the basket of fruits is 3.00 kg (2 d.p.).

Probability of getting a 2 or even(4) is expected outcomes divided by total outcomes(4). The answer is P(2 or even)= 2/4 = 1/2.

A fair spinner is used with four equal sections numbered 1,2,3,4.

Probability is simply how likely something is to happen. Whenever we’re unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics. Probability of an Event. Assume an event E can occur in r ways out of a sum of n probable or possible equally likely ways. Then the probability of happening of the event or its success is expressed as; P(E) = r/n. The probability that the event will not occur or known as its failure is expressed as: P(E’) = (n-r)/n = 1-(r/n).

P(2) = expected outcomes/total number of outcomes

=> 1/4

P( even:4) = 1/4

So; P(2 or even)= 1/4 + 1/4 = 2/4 or 1/2

To learn more about probability visit:

brainly.com/question/14210034

#SPJ1

Answer:

Expected results are divided by total outcomes to determine the probability of getting a 2 or even (4). (4). P(2 or even) = 2/4 = 1/2 is the response.

Step-by-step explanation:

There are four equal portions on a fair spinner, designated 1, 2, 3, and 4.

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution. the likelihood of an event. Assume that there are n probable or plausible equally likely ways for an event E to occur. Then, P(E) = r/n is used to represent the likelihood that the event will occur or that it will be successful. P(E') = (n-r)/n = 1-(r/n) denotes the chance that the event will not occur, also known as its failure.

P(2) = expected outcomes/total number of outcomes

=> 1/4

P( even:4) = 1/4

So; P(2 or even)= 1/4 + 1/4 = 2/4 or 1/2

Answer:

x=77° each

Step-by-step explanation:

180-26=154°

154÷2=77°

x=77° each

hope that helpes

Answer:

1 = 73°
2 = 58°
3 = 107°
4 = 49°
5 = 131°

Using the relation between velocity, distance and time, it is found that the penny has a faster unit rate per hour. It travels about 56.4 kilometers per hour faster.

Velocity is distance divided by time, that is:

v = d/t.

The rocket traveled 208 kilometers in 50 minutes = 5/6 of an hour, hence it's velocity, which is the unit rate, is given by:

v = 208/(5/6) = 208 x 6/5 = 249.6 km/hour.

The penny travels 153 kilometers in a half an hour, hence it's velocity is given by:

v = 153/0.5 = 306.

306 > 249.6, 306 - 249.6 = 56.4, hence:

The penny has a faster unit rate per hour. It travels about 56.4 kilometers per hour faster.

More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569

#SPJ1

Answer:

X=6x+30/x

Step-by-step explanation:

just simplify

Answer:

x = 3 ± √(39)

Step-by-step explanation:

x            6

-----   = -------

(x+5)      x

We can solve using cross products

x * x = 6(x+5)

x^2 = 6x+30

Subtract 6x from each side

x^2 -6x= 6x+30-6x

x^2 -6x= 30

Subtract 30 from each side

x^2 -6x -30 = 30-30

x^2 -6x -30 =0

Using the quadratic formula

x = -b ± √(b^2 -4ac)

     -------------------------

                2a

where  a=1  b = -6  and c = -30

x = -(-6) ± √((-6)^2 -4(1)(-30))

     -------------------------

                2(1)

x = 6 ± √(36 +120)

     -------------------------

                2

x = 6 ± √(156)

     -------------------------

               2

x = 6 ± √(4*39)

     -------------------------

                2

x = 6 ± 2√(39)

     -------------------------

                2

x = 3 ± √(39)

[tex]\displaystyle \int \frac{2x^7}{x^4 + 4} \, dx[/tex]

Let [tex]u=x^4 + 4[/tex] and [tex]du=4x^3\,dx[/tex]. Then

[tex]\displaystyle \int \frac{2x^7}{x^4 + 4} \, dx = \frac14 \int \frac{2(u-4)}u \, du \\\\ ~~~~~~~~ = \frac12 \int \left(1 - \frac4u\right) \, dx \\\\ ~~~~~~~~ = \frac12 \left(u - 4\ln|u|\right) + C \\\\ ~~~~~~~~ = \frac12 \left(x^4 +4 - 4\ln\left|x^4+4\right|\right) + C \\\\ ~~~~~~~~ = \boxed{\frac{x^4}2 - \ln\left(x^4+4\right)^2 + C}[/tex]