The container that holds the water for the football team is 2/3
full. After pouring out 3
gallons of water, it is 1/2
full. How many gallons can the container hold?

The value of -3√5 as the opposite of the square root is -75.

What in mathematics is a square root?

The factor we can multiply by itself to obtain a given number is the number's square root.

               Square root is represented by the symbol sqrt, which stands for square root of, end square root. Squaring an integer is the reverse of finding its square root.

-3√5

The opposite of the square root is the square, so,

-3√5 = -3 × 5²

-3√5 = - 3 × 25

-3√5 = - 75

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Answer:

1,no constant,6

Step-by-step explanation:

The growth factor is 1.14. And the worth for 5 years after Freddie purchased the shoes will be $731.66.

Consider the function:

y = a (1 + r) ˣ

Where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

Freddie bought a couple of never worn One of a kind 1997 Nike Air Jordan XII Season finisher Dark Varsity Shoe Size 12 for $380. The shoes have shown a normal development pace of 14% each year.

The growth factor is given as,

Growth factor = 1 + r

Growth factor = 1 + 0.14

Growth factor = 1.14

Then the worth 5 years after Freddie purchased the shoes will be given as,

A = 380 x (1.14)⁵

A = $731.66

The growth factor is 1.14. And the worth for 5 years after Freddie purchased the shoes will be $731.66.

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Answer:

r = 15/4

Step-by-step explanation:

Distrubute: 4/5r + (4/5)*5 = 7

Simplify: 4/5r + 4 = 7

Subtract: 4/5r = 3

Divide: r = 3 * 5/4

Simplify: r = 15/4

Result: r = 15/4

The answer from part A tells us that the trout population was 10 in the first month after it was introduced.

A. P(0) = 740 / (1 + 73e^-0) = 740 / (1 + 73) = 740 / 74 = 10, so the answer is 10.

B. The answer from part A tells us that the trout population was 10 in the first month after it was introduced.

C. To find the number of trout in the lake after 1 year, we need to find P(12): P(12) = 740 / (1 + 73e^-0.07*12) = 740 / (1 + 73e^-0.84) ≈ 490, so the answer is 490.

D. To find the number of trout in the lake after 10 years, we need to find P(120): P(120) = 740 / (1 + 73e^-0.07*120) = 740 / (1 + 73e^-8.4) ≈ 740, so the answer is 740.

E. lim t→∞ P(t) = 740, so the answer is 740.

F. The answer from part E tells us that as the number of months t approaches infinity, the trout population will approach 740. This means that the trout population will eventually stabilize at 740 if no other factors such as predators, disease, or lack of food affect the population.

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Answer:

72 units squared

Step-by-step explanation:

6x2=12

6x2=12

2x3=6

2x3=6

6x3=18

6x3=18

12+12+6+6+18+18=72

Answer:

72 square units

Step-by-step explanation:

   l = 6 units

   w = 2 units

   h = 3 units

Substitute l, w & h in the below mentioned formula:

   \(\boxed{\text{\bf Surface area of rectangular prism = 2*(lw + wh + hl)}}\)

                                                                   \(\sf = 2 *(6*2 + 2*3 + 3*6)\\\\=2* (12 + 6 + 18)\\\\= 2 * 36\\\\= 72 \ square units\)

Answer:

\(x=-1\)

Step-by-step explanation:

hope this was the answer you were looking for :)

Answer:

3

Step-by-step explanation:

ye

The change in the optimal objective function value per unit increase in the right-hand side of a constraint is Shadow price .

What does "shadow pricing" mean?

An estimated price for something that is not typically valued or offered for sale in the market is known as a "shadow price."

                          Businesses may gain a better grasp of the costs and advantages of a project thanks to shadow pricing.

What in linear programming is a shadow price?

In linear programming, the maximum cost that must be paid to acquire a new unit of resource is known as the shadow price of the resource restriction.

                         Subtract the original objective function's value from the current objective function's value by one additional unit to determine the shadow price.

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Answer:

3.2

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

B is the correct answer because it is the exact reflection of the image shown above.

Step-by-step explanation:

2x-15=x5

2x-x=15+5

x=20

Answer:

x = 20

Step-by-step explanation:

Because of the angle bisector, we know that the m∠ACE and the m∠ECB are equivalent. Therfore, we can set the equations as equal to eachother and solve for x.

Answer:

-4

Step-by-step explanation:

The only difference between 4 and -4 is that 4 is positive and the other 4 is negative because of “-”.

The perimeter of the square is 16√5 mm, and the area of the square is 80 mm².

To calculate the perimeter and area of the square, we can use the formulas:

Perimeter = 4 * side length

Area = side length * side length

Substituting the given side length of 4√5mm into the formulas, we have:

Perimeter = 4 * 4√5mm = 16√5mm

Area = (4√5mm) * (4√5mm) = 16 * 5mm = 80mm²

Therefore, the perimeter of the square is 16√5mm, and the area of the square is 80mm².

Please note that the values are based on the provided side length of 4√5mm. If there are any changes to the side length, the perimeter and area will differ accordingly.

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The perimeter of the square is 16√5 mm, and the area of the square is 80 mm².

I took the test on plato.

The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:

"2/3y" represents two-thirds of a number.

"9" represents the number nine.

"y + 1" represents the number increased by one.

Now let's construct the sentence:

"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.

"is less than" - This is the comparison symbol in the inequality.

"the number" - This refers to the expression "y + 1," representing the number increased by one.

Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."

Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

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Aircraft A has 312 seats.

Let's assume that Aircraft B has x seats.

According to the given information, Aircraft A has 105 more seats than Aircraft B. So, the number of seats in Aircraft A can be expressed as x + 105.

The total number of seats in both aircraft is 519, which can be represented by the equation:

x + (x + 105) = 519

Simplifying this equation, we have:

2x + 105 = 519

Subtracting 105 from both sides, we get:

2x = 414

Dividing both sides by 2, we find:

x = 207

Therefore, Aircraft B has 207 seats.

To find the number of seats in Aircraft A, we substitute the value of x back into the expression x + 105:

Aircraft A = 207 + 105 = 312

Hence, Aircraft A has 312 seats.

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Answer: 6%

Hope it helps :)

Step-by-step explanation:

Price of mixer = 45.00$

Price of mixer with tax = 47.70

Tax added to the price of mixer = 45 - 47.70

                                                      = 2.70$

Percentage of Tax added to the price of mixer

 =  2.70 = P multiplied by 45

  (divide 2.70 by 45 and 45 by 45 as well)                                  

 = 0.06 = P

  (we have to now convert the decimal to a percentage)

= 0.06 multiplied by 100 = P

   6% = P

Answer:

1. Is a continuous random variable

2. Is a discrete random variable

3. Is not a random variable

Step-by-step explanation:

1. The exact Weight of quarters in circulation in the united states is a continuous random variable. This is because a random variable such as this can take uncountable and infinite number of values.

2. The shoe sizes if humans is an example of discrete random variable. This is a discrete random variable because it has countable number of values.

3. Political party affiliation is not a random variable.

Thank you!

Answer:430 + b

Step-by-step explanation:Last year he biked b miles. This year he biked 430 miles. Add the two to get your answer. Hope this helps!

Answer: b+430= total number of miles biked

Step-by-step explanation:

Answer:

  one solution: (1, 4)

Step-by-step explanation:

You want the graphs and number of solutions to the system of equations ...

The graph is attached. The first equation has a y-intercept of +1 and a slope of 3. The second equation has a y-intercept of +2 and a slope of 2.

The different slopes mean there is exactly one solution. The graph shows that solution to be (x, y) = (1, 4).

__

Additional comment

The slope is the x-coefficient when the equations are written in this "slope-intercept" form. It is the "rise/run" for the line on the graph. A slope of 3, for example, means the line has a rise of 3 grid squares for a run of 1 square (to the right). Knowing the y-intercept and slope makes it easy to graph the line.

Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".

To determine the range of the number of RVs that need to be sold each month for the company to make a profit, we need to consider the profit function and find the values of x that result in a positive profit.

The profit function is given by P(x) = -50x + 20,000x - 1,500,000.

To make a profit, the value of P(x) must be greater than zero (P(x) > 0). We can set up the inequality:

-50x + 20,000x - 1,500,000 > 0.

Combining like terms, we have:

19,950x - 1,500,000 > 0.

Now, let's solve this inequality for x:

19,950x > 1,500,000.

Dividing both sides by 19,950, we get:

x > 1,500,000 / 19,950.

Simplifying the right side, we have:

x > 75.

The range of the number of RVs that need to be sold each month for the company to make a profit is x > 75.

Among the given answer choices, the correct option that represents this range is "0 100 200 none of the answer choices".

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The equation X^2/2 - 8 = 2X - 2 has two solutions, X = 6 and X = -2. These are the values of X that satisfy the equation and make both equations Y = X^2/2 - 8 and Y = 2X - 2 intersect on the graph.

To find the solutions to the equation X^2/2 - 8 = 2X - 2, we need to set the two equations equal to each other and solve for X.

The equation is:

X^2/2 - 8 = 2X - 2

To simplify the equation, let's multiply both sides by 2 to eliminate the fraction:

X^2 - 16 = 4X - 4

Next, we rearrange the equation to have all terms on one side:

X^2 - 4X - 12 = 0

Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. Let's use factoring in this case:

(X - 6)(X + 2) = 0

Setting each factor equal to zero gives us two possible solutions:

X - 6 = 0 --> X = 6

X + 2 = 0 --> X = -2

So the solutions to the equation X^2/2 - 8 = 2X - 2 are X = 6 and X = -2.

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The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.

In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.

The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.

To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.

Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.

As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.

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The confidence interval for the proportion of millennials that care about Jobs/Economy is (0.22, 0.28).

The term confidence interval refers statistical measure used to indicate the range of estimates within which an unknown statistical parameter is likely to fall.

Here we have given that Jobs/Economy 25%, Immigration 17%, Healthcare 16%, Education 16%, Environment 12%.

And we need to find the confidence interval for the proportion of millennials that care about Jobs/Economy.

As per the formula of confidence interval,

CI = x ± Z× s/√n

CI = 25 ± 1.9600 × 0.03/ √50

CI = 25 ± 0.00832

When we simplify this one then we get the confidence interval for the proportion of millennials that care about Jobs/Economy as

=> (0.22, 0.28)

Therefore, option (3) is correct.

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Answer:

a. y = 0.15x + 20

b. the slope (0.15) represents how much the energy company charges per hour.

c. the y-intercept (20) represents the connection fee that you pay starting out.

d. the independent variable is the y-intercept (20) because it only relys on itself

e. the dependent variable is the slope (0.15) it relys on the x variable and the y-intercept (20).

f. 21 hours of usage will cost $23.15 + 20

so the final cost for 21 hours of usage will be $43.15.

5/3 = 30/x. Multiplying across: 5x = 3 times 30. Solving this gives you 5x = 150, or x = 30.

The value of the test statistic is given as follows:

z = 4.47.

The equation to calculate the test statistic using the z-distribution is given as follows:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

In which:

The parameters for this problem are given as follows:

\(\overline{p} = 0.59, p = 0.5, n = 618\)

p = 0.5 as the most term means that we are testing if the proportion is either less than or greater than 0.5.

Then the test statistic is obtained as follows:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

\(z = \frac{0.59 - 0.5}{\sqrt{\frac{0.5(0.5)}{618}}}\)

z = 4.47.

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