Graph y+6=4/5(x+3)​​ using the point and slope given in the equation. \(y+6=4/5(x+3)\)

Answer:

Cada garrafa tiene una capacidad de 24 litros.

Step-by-step explanation:

Tenemos dos garrafas, definamos V como el volumen que cada garrafa tiene.

Sabemos que una de las garrafas tiene el 20%, entonces el volumen de agua que tiene esta garrafa es:

(20%/100%)*V

Y la otra garrafa tiene el 30%, entonces esta garrafa tiene:

(30%/100%)*V

El volumen total de agua es la suma de esos dos volúmenes, que nos da:

(20%/100%)*V + (30%/100%)*V

Y sabemos que tenemos 12 L de agua, entonces podemos escribir la ecuación:

12 L = (20%/100%)*V + (30%/100%)*V

Ahora podemos resolver esto para V.

12L = 0.2*V + 0.3*V

12L = 0.5*V

12L/0.5 = V

24L = V

Cada garrafa tiene una capacidad de 24 litros.

Answer:

Your answer is D.

Step-by-step explanation:

If you need explanation ask me in comment

Answer:

Y ≤ X + 6

Step-by-step explanation:

Not sure if this is correct

Answer:

y<1/5x+6

Step-by-step explanation:

< bcs below line

dotted line means not equal(≤)

To estimate the project's beta, we need to make assumptions and use available data. Given the information provided for a publicly traded firm in the same line of business, including the debt outstanding, number of shares, stock price per share, book value of equity per share, and the beta of equity, we can calculate an estimate of the project's beta.

The beta measures the systematic risk of an investment relative to the overall market. To estimate the project's beta, we can use the leveraged beta approach. Since the project will be financed with equity, we assume that the project's beta will be equal to the equity beta of the publicly-traded firm in the same line of business. Therefore, the estimated beta of the project would be 1.19, based on the given information.

It is important to note that this estimation relies on the assumption that the project's risk profile and systematic risk are similar to that of the publicly-traded firm used as a reference. Additionally, this approach assumes that the project is solely financed with equity and does not take into account any potential debt financing or other factors that may affect the project's beta.

To learn more about investment: -brainly.com/question/15105766

#SPJ11

Answer:

\(\frac{1}{x^{\frac{5}{3}}}\)

Step-by-step explanation:

\(\frac{-5}{3}=-\frac{5}{3}\\x^{-\frac{5}{3}}\\x^{-\frac{5}{3}}=\frac{1}{x^{\frac{5}{3}}}\\\frac{1}{x^{\frac{5}{3}}}\)

➲ Hope this helps.

Answer:

A rectangle.  

Step-by-step explanation:

A square would have four congruent sides.  Because this does not and it has the four right angles, it is a rectangle.

The possible triples are: (3, 3, 3), (4, 2, 4) as seen by counting theorem.

Now, by the counting principle,

Hence, the possible triples are: (3, 3, 3), (4, 2, 4).

To learn more about the counting principle, refer to the link: https://brainly.com/question/10275154

#SPJ4

The number of ways to roll a total of 24 with four 10-sided dice is 2925.

To solve this problem using inclusion-exclusion, we need to consider all possible ways to roll a total of 24 with the four 10-sided dice, and then subtract the number of cases where at least one die rolls a number greater than 10.

However, we also need to add back the number of cases where at least two dice roll a number greater than 10, since they were subtracted twice.

Let A be the event that at least one die rolls a number greater than 10, and let B be the event that at least two dice roll a number greater than 10. Then we can use the inclusion-exclusion principle:

N(A) = total number of ways to roll 24 with four 10-sided dice = (number of solutions to x1 + x2 + x3 + x4 = 24) = C(24 + 4 - 1, 4 - 1) = C(27, 3) = 2925

N(B) = total number of ways to roll 24 with at least two dice greater than 10

If two dice are greater than 10, then their sum can be 11, 12, ..., 18, for a total of 8 possibilities. For each of these cases, we need to find the number of ways to distribute the remaining 16 points among the four dice, where each die can have any value from 1 to 10. This can be done using stars and bars:

For 11, the remaining 16 points can be distributed among 4 dice in C(16 + 4 - 1, 4 - 1) = C(19, 3) = 969 ways.

For 12, the remaining 16 points can be distributed among 4 dice in C(14 + 4 - 1, 4 - 1) = C(17, 3) = 680 ways.

For 13, the remaining 16 points can be distributed among 4 dice in C(12 + 4 - 1, 4 - 1) = C(15, 3) = 455 ways.

For 14, the remaining 16 points can be distributed among 4 dice in C(10 + 4 - 1, 4 - 1) = C(13, 3) = 286 ways.

For 15, the remaining 16 points can be distributed among 4 dice in C(8 + 4 - 1, 4 - 1) = C(11, 3) = 165 ways.

For 16, the remaining 16 points can be distributed among 4 dice in C(6 + 4 - 1, 4 - 1) = C(9, 3) = 84 ways.

For 17, the remaining 16 points can be distributed among 4 dice in C(4 + 4 - 1, 4 - 1) = C(7, 3) = 35 ways.

For 18, the remaining 16 points can be distributed among 4 dice in C(2 + 4 - 1, 4 - 1) = C(5, 3) = 10 ways.

So, the total number of ways to roll 24 with at least two dice greater than 10 is:

N(B) = 8*(969 + 680 + 455 + 286 + 165 + 84 + 35 + 10) = 38304

By the inclusion-exclusion principle, the number of ways to roll a total of 24 with four 10-sided dice is:

N = N(A) - N(B)

N = 2925

Click the below link, to learn more about  inclusion-exclusion:

https://brainly.com/question/10927267

#SPJ11

Answer:

10 inches

Step-by-step explanation:

two widths so  7 and 7

7+7=14

34 - 14 = 20

20/2 = 10

L = 10

Answer:

Answer is Below (Steps)

Step-by-step explanation:

(5 x 0.79) + (2 x 1.19) =

= 5 x 0.79 + 2 x 1.19

= 3.95 + 2 x 1.19

= 2 x 1.19 = 2.38

= 3.95 + 2.38 = 6.33

Answer is 6.33

Hopes this Helps :D

Choose me as Brainiest Please : )

The value of a/b is  \(\sqrt{6}\) / 2

The area of mathematics known as mensuration is concerned with measuring geometric shapes and their various characteristics, such as length, volume, shape, surface area, lateral surface area, etc. In fundamental mathematics, learn about mensuration.

Measurement of agricultural fields, floor areas required for purchase/selling transactions. Measurement of volumes required for packaging milk, liquids, solid edible food items. Measurements of surface areas required for estimation of painting houses, buildings, etc.

According to the question:-

Side of an equilateral triangle equals a/3.

Therefore, the equilateral triangle's area is equal to (1/2)(a/3)2 sqrt (3) / 2 = a2 [sqrt (3)/ 36].

Hexagonal side equals b / 6.

The area is thus 6 (1/2) (b/6)^2 sqrt (3) / 2 

= b^2 [ 3 sqrt (3) / 72] = b^2 [sqrt (3) / 24]

So

sqrt (3) / 36 a2 = sqrt (3) / 24 b2

So

A2 / B2 = [Sqrt(3)/24] / [Sqrt(3)/36]

a^2 / b^2 = [ 36 / 24 ]

a^2/ b^2 = 3/2

A/ B = Sqrt(3) / Sqrt(2)

=Sqrt(6) / 2

To know more about about mensuration follow the link:-

https://brainly.com/question/19241268

#SPJ4

Answer:

- 12

Step-by-step explanation:

The sea level serves as a reference point and may be used to describe objacetsvir positions above or below it. Therefore, the sea level is regarded as a zero point or level. Hence, objects below are describes to be at a negative distance while those above are assigned the positive sign. Hence, for a position which is 12 km below sea level, then the object is said to be at a distance of - 12 km (below sea level takes the negative sign.)

William will realize a profit of approximately $227,200 once he sells the apartment complex.

To calculate the profit William will realize, we need to consider the increase in property value, rental income, and expenses. Over five years, the apartment complex's value increased by 1.8% annually. To calculate the new value, we can use the formula:

New value = Original value * \((1+growth rate)^{number of years}\)

New value = $340,000 * \((1+0.018)^{5}\) = $387,759.52 (rounded to the nearest dollar)

Next, we need to calculate the total rental income over five years. William charges $525 per month per room, so the annual rental income per room is $525 * 12 = $6,300. The total rental income over five years is $6,300 * 5 = $31,500.

William also incurs annual building upkeep expenses of $36,500.

To calculate the profit, we subtract the expenses from the total rental income and add it to the increased property value:

Profit = (New value - Original value) + Total rental income - Expenses

Profit = ($387,759.52 - $340,000) + $31,500 - $36,500

Profit = $47,759.52 + $31,500 - $36,500

Profit = $42,759.52 (rounded to the nearest dollar)

Therefore, William will realize a profit of approximately $42,800 once he sells the apartment complex, which is closest to option (b) $227,200.

Learn more about profit here:

https://brainly.com/question/30953305

#SPJ11

Using the Fundamental Counting Theorem, it is found that Jack could be correct, if there are 6 desserts as options in the menu.

It is a theorem that states that if there are n trials, each with \(n_1, n_2, \cdots, n_n\) possible results, each thing independent of the other, the number of results is given according to the following equation:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

In the context of this problem, the parameters are found as follows:

Hence we can solve for x as follows:

5(8)(x) = N

40x = 240

x = 240/40

x = 6.

x is a positive integer, meaning that Jack could be correct, if there are 6 desserts on the menu.

The complete problem is given as follows:

"11)Jack is in a restaurant.

There are 5 starters, 8 main courses and some desserts on the menu.

Jack is going to choose one starter, one main course and one dessert.

He says there are 240 ways that he can choose his starter, his main course and his dessert.

Could Jack be correct?

You must show how you get your answer."

More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/24314866

#SPJ1

11 is the mystery number

Answer:

The mystery number is 11

Step-by-step explanation:

→ Set up an equation

( 10 + 4 + 7 + x ) ÷ 4 = 8

→ Multiply both sides by 4

21 + x = 32

→ Minus 21 from both sides

x = 11

Answer:

x = -2

Step-by-step explanation:

2(3x - 5) + 4 = -18

Distribute the 2

6x - 10 + 4 = -18

6x - 6 = -18

Add 6 to both sides

6x = -12

Divide both sides by 6

x = -2

Check:

2(3x - 5) + 4 = -18

substitute x = -2 into the original equation

2(3(-2) - 5) + 4 = -18

2(-6 - 5) + 4 = -18

2(-11) + 4 = -18

-22 + 4 = -18

-18 = -18

So x = -2 is true.

Answer:

x=-2

Step-by-step explanation:

2(3x-5)+4=-18

We move all terms to the left:

2(3x-5)+4-(-18)=0

We add all the numbers together, and all the variables

2(3x-5)+22=0

We multiply parentheses

6x-10+22=0

We add all the numbers together, and all the variables

6x+12=0

We move all terms containing x to the left, all other terms to the right

6x=-12

x=-12/6

x=-2

Answer:

d. (-3,-1)

Step-by-step explanation:

The probability that Marshall wins a prize on his second spin =  0.1875

Consider an event X = the number of spins until Marshall wins a prize.

Given that a prize wheel with 4 segments of equal size, one of which is labeled winner.

So, the sample space n = 4

For given event x, the possible outcomes = 1

Using the formula of probability,

p = x/n

p = 1/4

p = 0.25

So, the probability of success p = 0.25

q = 1 - p

q = 1 - 0.25

q = 0.75

To find the probability that Marshall wins a prize on his 2nd spin.

Using formula, \(P(X = k) = (1 - p)^{k-1}p\)

For  k = 2,

\(P(X = 2) = (1 - 0.25)^{2-1}\times 0.25\)

P(X = 2) = 0.75 × 0.25

P(X = 2) = 0.1875

Thus, the required probability is  0.1875

Learn more about the probability here:

https://brainly.com/question/30034780

#SPJ4

Answer:

7 people

Step-by-step explanation:

Chocolate: 350 / 100 = 3.5 x 2 = 7

Butter: 45 / 10 = 4.5 x 2 = 9

Eggs: 8 / 2 = 4 x 2 = 8

The amount of chocolate is the limiting factor as you have enough eggs for 8 people and enough butter for 9 people, but only enough chocolate for 7 people

To show that `(n + 3)7 ∈ Θ(n7)`, we need to prove that `(n + 3)7 = Θ(n7)`.This can be done by showing that `(n + 3)7 = O(n7)` and `(n + 3)7 = Ω(n7)` .Now, let's prove the two parts separately:

Proof for `(n + 3)7 = O(n7)`.

We want to prove that there exists a positive constant c and a non-negative constant k such that `(n + 3)7 ≤ cn7` for all `n ≥ k`.Using the Binomial theorem, we can expand `(n + 3)7` as:```
(n + 3)7
= n7 + 7n6(3) + 21n5(3)2 + 35n4(3)3 + 35n3(3)4 + 21n2(3)5 + 7n(3)6 + 37
≤ n7 + 21n6(3) + 21n5(3)2 + 35n4(3)3 + 35n3(3)4 + 21n2(3)5 + 7n(3)6 + n7
≤ 2n7 + 21n6(3) + 21n5(3)2 + 35n4(3)3 + 35n3(3)4 + 21n2(3)5 + 7n(3)6
≤ 2n7 + 84n6 + 441n5 + 2205n4 + 10395n3 + 45045n2 + 153609n + 729
```Thus, we can take `c = 153610` and `k = 1` to satisfy the definition of big-Oh notation. Hence, `(n + 3)7 = O(n7)`.Proof for `(n + 3)7 = Ω(n7)`We want to prove that there exists a positive constant c and a non-negative constant k such that `(n + 3)7 ≥ cn7` for all `n ≥ k`.Using the Binomial theorem, we can expand `(n + 3)7` as:```
(n + 3)7
= n7 + 7n6(3) + 21n5(3)2 + 35n4(3)3 + 35n3(3)4 + 21n2(3)5 + 7n(3)6 + 37
≥ n7
```Thus, we can take `c = 1` and `k = 1` to satisfy the definition of big-Omega notation. Hence, `(n + 3)7 = Ω(n7)`.

As we have proved that `(n + 3)7 = O(n7)` and `(n + 3)7 = Ω(n7)`, therefore `(n + 3)7 = Θ(n7)`.Thus, we have shown that `(n + 3)7 ∈ Θ(n7)`.From the proof, we can see that we used the Binomial theorem to expand `(n + 3)7` and used algebraic manipulation to bound it from above and below with suitable constants. This technique can be used to prove the time complexity of various algorithms, where we have to find the tightest possible upper and lower bounds on the number of operations performed by the algorithm.

Hence, we have shown that `(n + 3)7 ∈ Θ(n7)` for non-negative integer n.

To know more about Binomial theorem :

brainly.com/question/30095070

#SPJ11

Answer:

x = 80

Step-by-step explanation:

if ray RU bisects <QRS that means it divided the angle into two equal parts

then we can write the following equation to find the value of x:

<SRU = <QRU

50 = (x/2 + 10) subtract 10 from both sides

40 = x/2 multiply both sides with 2

80 = x

<QRS = 100 because it's the sum of <SRU and <QRU

Answer:

Each side of the Rhombus is 5 units

Step-by-step explanation:

Since the sides of a rhombus area all equal in length;

Then, the length of a side is enough to get the lengths of the other sides

Mathematically, finding the distance between two points out of what we are given will be enough to get the measure of one of the side of the rhombus

We apply the distance formula appropriately to get the distance between the side of the Rhombus

D = √(x2-x1)^2 + (y2-y1)^2

let us use the points (-1,0) and (4,0)

D = √(4 + 1)^2 + (0-0)^2

D = √25

D = 5

Answer:

- The mean, median and modal students' grades are all grade 70.

- The degree of spread of the grades about the mean grade is in grade value of the standard deviation, 15.

- Half of the class score grade 70 and beyond and half of the class also score grade 70 and below.

- 68% of the class score between grade 55 and 85.

- 95% of the class score between grade 40 and 100.

Step-by-step explanation:

If the normal distribution curve of the students' grades has a xbar = 70, and a σ = 15, it translates that the mean, median and the modal student grade is 70 because a normal distribution is that symmetric about the center of the distribution and the spread of the grades away from grade 70 is in grade scores of 15, the standard deviation.

It also directly mean that half of the distribution exist at grade 70 and above and the other half exists at grade 70 and below.

The empirical rule also explains further that 68% of the distribution exists between one standard deviation of the mean, that is;

68% of the distribution exists between (70±15) = (55, 85)

95% of the distribution exists between two standard deviations of the mean.

[70±(2×15)] = (40, 100)

Hope this Helps!!!

Answer:

Sample Response: By analyzing the curve, you can tell that the average, or mean, grade is 70. This is also the median of the grades, so we know that one half of the scores are less than or equal to 70, and the other half of the scores are greater than or equal to 70. The bulk of the scores are between 55 and 85.

Step-by-step explanation:

What did you include in your response? Check all that apply.

The mean and median of the scores is 70.

Most of the scores are between 55 and 85.

Half of the scores are less than or equal to 70, while the other half are greater than or equal to 70.

The equation y = 3x +a / 2x - 5 can be expressed in terms of a and y as x = (a - 5y) / (2y-3)

Given equation y = 3x + a / 2x - 5

= y(2x - 5) = 3x + a

= 2xy - 5y = 3x + a

= 2xy - 3x = a - 5y

= x(2y-3) = a - 5y

Hence, x = (a - 5y) / (2y - 3)

First, we will move the denominator 2x-5 and multiply it by y giving us 2xy-5y. Next, we will move all the terms which contain only a and y to one side and the rest remaining to another side, giving us 2xy - 3x = a - 5y. Since we need to express the equation in terms of x we take it as common from left-hand side of the equation and the remaining part we move to the right-hand side as the denominator. Hence we get our equation in terms of a and y as x = (a - 5y) / (2y - 3).

To learn more about polynomial equations,

https://brainly.com/question/20121808

Answer:

5.57

Step-by-step explanation:

In order to find the are of a square you would use the equation a². However, since you are finding the length of one side and its a square, you use the equation \(\sqrt{a}\). The area of this square is 31 sq in., so you would replace a with 31. The equation then becomes \(\sqrt{31}\). When out into a calculator, the answer is 5.567764... which rounded up to the nearest hundreth is 5.57.

Given:

The length of the rectangle is 50 yards. The perimeter is less than 180 yards.

Required:

Write the solution inequality in terms of width w.

Explanation:

Let the width of the rectangle is w.

The perimeter of the rectangle is given by the formula:

Final Answer:

The first option is the correct answer.