Pls help me ASAP PLS PLS PLS

9514 1404 393

Answer:

  13

Step-by-step explanation:

Let n represent that number.

  (2 +n)/(5 +n) = 5/6 . . . . . . . . n is added to numerator and denominator

  6(2 +n) = 5(5 +n) . . . . . . . . . multiply by 5(5+n)

  12 +6n = 25 +5n . . . . . . . . . eliminate parentheses

  n = 13 . . . . . . . . . . . subtract 5n+12

Adding 13 to each term will give 5/6.

__

Check

  (2 +13)/(5 +13) = 15/18 = (3·5)/(3·6) = 5/6

_____

Alternate solution

The difference of denominator and numerator in 2/5 is 5-2 = 3. The difference of denominator and numerator in 5/6 is 6-5 = 1. In order to make the latter difference 3, we must have (3/3)(5/6) = 15/18. We can get 15/18 from 2/5 by adding 13 to numerator and denominator.

Answer:

Step-by-step explanation:

Common difference = 2nd term - 1st term = 11 - 5 = 6

a = 5

nth term = a + (n-1)d

               = 5 +( n-1) * 6

              = 5 + 6n - 6

             = 5 - 6 + 6n

              = 6n - 1

Answer:

11

Step-by-step explanation:

The height of the Christmas tree could be either 12 meters or 18 meters.

To find the height of the Christmas tree, let's assign a variable to represent the height. Let's call it "h."

According to the problem, the wire supporting the tree is 3 meters longer than the height of the tree. So, the length of the wire is "h + 3."

The wire is anchored at a point whose distance from the base of the tree is 21 meters shorter than the height of the tree. Therefore, the distance from the base of the tree to the anchor point is "h - 21."

We know that the wire is stretched from the top of the tree to the anchor point, forming a right-angled triangle. The height of the tree represents the vertical side of the triangle, and the distance from the base to the anchor point represents the horizontal side.

Using the Pythagorean theorem, we can calculate the hypotenuse (the length of the wire) as follows:

\((h + 3)^2 = h^2 + (h - 21)^2\)

Simplifying the equation, we get:

\(h^2 + 6h + 9 = h^2 + h^2 - 42h + 441\)

Combine like terms and solve for h:

\(6h + 9 = 2h^2 - 42h + 441\)

\(2h^2 - 48h + 432 = 0\)

Dividing by 2, we get:

\(h^2 - 24h + 216 = 0\)

Factoring the quadratic equation, we get:

(h - 12)(h - 18) = 0

Therefore, the possible heights of the tree are 12 meters and 18 meters.
In conclusion, the height of the Christmas tree could be either 12 meters or 18 meters.

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Input quantity: Time t in years since it was planted

Output quantity: Height h in feet of the tree.

Input variable: time t

Output variable: height h.

Ordered pairs are represented as (t, h).

Use function notation to illustrate the relationship between h and t.

h = f(t) where f is a function of time t.

The notation h(20) = 60 means that when the tree is 20 years old, its height is 60 feet. It means that after 20 years of planting the tree, its height is 60 feet.

The input quantity is time, the output quantity is height, the input variable is t, and the output variable is h. The relationship between height and time can be expressed as a function h = f(t).

Finally, the function notation h(20) = 60 means that the tree's height is 60 feet after 20 years.

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After the formation of the European Union (EU), it eliminated all tariffs among its member countries. This means that there are no import taxes or duties imposed on goods traded between EU member countries.

One of the key objectives of the European Union is to create a single market among its member countries, fostering economic integration and facilitating the free movement of goods, services, capital, and people. As part of this goal, the EU implemented the elimination of tariffs among its member countries. Tariffs are taxes or duties imposed on imported goods, which can increase their cost and hinder trade.

By removing tariffs, the EU promotes the free flow of goods within its borders. This has significant benefits for businesses and consumers within the EU, as it allows for increased trade, competition, and access to a wider range of products. Eliminating tariffs encourages economic cooperation and integration among EU member countries, creating a more seamless and efficient trading environment.

Option a is incorrect because the EU does not bar imports of specific products or favor domestic companies. Option c is incorrect because the EU aims to promote trade and economic activity among its member countries rather than decreasing imports and exports. Option d is incorrect because the North American Free Trade Agreement (NAFTA) is a trade agreement between the United States, Canada, and Mexico and is not directly related to the European Union.

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Answer:

∠ VWU = 48°

Step-by-step explanation:

Since VW and VU are congruent then the triangle is isosceles with 2 base angles being congruent , that is

∠ VWU = ∠ VUW , then

∠ VWU = \(\frac{180-84}{2}\) = \(\frac{96}{2}\) = 48°

The first entry is 94 + 26 = 120 since there are 26 entries after the 27th entry.

A sequence is a list of items that is in order in mathematics (or events). It has elements, just like a set (also called elements or terms). The length of the sequence is the total number of ordered items (potentially infinity).

Between the 27th and 94th entries, there are 67-1 = 66 entries, or 94 - 27 = 67. Entry 93 is 28, entry 92 is 29, etc., since entries before to the 94th entry were likely one greater than ones after it. Given that E93's value is 28, which is the average of E92 and E94, this makes sense.

If entry number 27 is 94, entry number 26 must be 95, entry number 25 must be 96, etc. The first entry is 94 + 26 = 120 since there are 26 entries after the 27th entry.

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Answer:

120

Step-by-step explanation:

94 - 27 = 67, so between the 27th and 94th entries, there are 67-1 = 66 entries. The entries before the 94th entry were probably one greater than the entry after, so entry 93 is 28, entry 92 is 29, etc. This makes sense because the average of E92 and E94 is 28, which is the value in E93.

If the 27th entry is 94, then the 26th entry must be 95, the 25th entry must be 96, etc. From the 27th entry, there are 26 entries ahead of it, so the first entry is 94 + 26 = 120. The first entry is 120.

As the Percentage decreased, The Number of alligators in 2001 = 438972

What is the Percentage decrease?

A variable's value loss can be measured using the percentage decline formula. The variable might be anything from profit to population to cost. For a better understanding of the idea, the formula for percentage drop is provided below along with solved instances.

∴ Percent Decrease = (Decreased Value / Original Value) × 100

Number of alligators in 1992 = 285

Percentage of increase every year = 75%

Every year 75 increased per 100

2001 - 1992 = 9 years

Step: 3

So the population in 2001, as the percentage decreased, is:

\(\begin{aligned}&=285 \times\left(\frac{175}{100}\right)^9 \\&=285 \times\left(\frac{7}{4}\right)^9\end{aligned}\)

= 43871.986

Number of alligators in 2001 = 438972

Hence, The Number of alligators in 2001 = 438972

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Answer:

-4.7

Step-by-step explanation:

I like to reverse the equation like so:

7.3-2.6=(positive 4.7)

then i know this will be my answer but just in the negatives. hope my little trick helped you!

Answer:

-6

Step-by-step explanation:

Step 1: Simplify the Equation

Step 2: Solve the equation

Step 3: Find the answer and check the answer

Step-by-step explanation:

Remove the parentheses

3h+6+4=8

Collect the like terms

3h=8-6-4

3h= -2

Divide both sides by 3

h= -2/3

Answer:

It is true.

Step-by-step explanation:

Answer:  approximately 4.7368 minutes

This decimal value is the result of computing 90/19

=====================================================

Explanation:

Let's find the LCM of 6, 9 and 15. First, list out the prime factorization of each value.

The unique prime factors are 2, 3, and 5. We have 2 show up at most once, 3 show up at most twice, and 5 show up at most once. The LCM is 2^1*3^2*5^1 = 2*9*5 = 18*5 = 90.

We'll use this LCM value to set up an example below.

---------------

Consider the tank to be 90 gallons. If we only use tap A, keep tap B closed, and don't open pipe C, then tap A fills the tank at a rate of 90/6 = 15 gallons per minute since it needs 6 minutes to completely fill the tank.

If we have tap B do all the work (keep tap A and pipe C closed), then the rate is 90/9 = 10 gallons per minute for this tap.

Keeping pipe C closed, the two taps A and B work together to have a combined rate of 15+10 = 25 gallons per minute.

Now we consider pipe C being opened. This drains the tank and can do so in 15 minutes (assume the taps A and B aren't open). If we're dealing with a full 90 gallon tank, then its rate is 90/15 = 6 gallons per minute.

The net rate is 25-6 = 19 gallons per minute. We can think of it as a tug of war where the taps A and B ultimately win out despite the fact that pipe C is draining the water. The two taps fill the tank faster than the pipe can drain the tank.

In other words, the tank ultimately gets filled up rather than drained out over the long run. That net speed is at 19 gallons per minute.

The amount of time needed is approximately 90/19 = 4.7368 minutes.

Side note: you can start with any size tank. It doesn't have to be 90 gallons. I picked on this value because it works cleanly with the original given numbers 6, 9 and 15.

Answer:

\(x=\frac{90}{19}\) = 4.73 minutes

\(\frac{1}{6}x +\frac{1}{9}x - \frac{1}{15} x = 1\)

\(\frac{135}{810}x +\frac{90 }{810}x - \frac{54}{810} x = 1\)

\(\frac{171}{810}x = 1\)

x = 4.73 minutes

Step-by-step explanation:

To maximize the daily profit in producing metal frames (F) and frames Fz, subject to the given constraints, we can formulate the problem as a linear programming problem.

Let's denote the number of metal frames produced as x and the number of frames Fz produced as y.

The objective function to maximize the profit can be expressed as:

P = 70x + 50y.

Now, let's write the constraints based on the given information:

Material constraint: x^2 + 2y^2 ≤ 18.

Machine hours constraint: x^2 + y^2 ≤ 8.

Labor constraint: 2x^2 + y^2 ≤ 20.

(a) Using the Simplex Method:

We will convert the inequalities to equalities by introducing slack variables, and then use the Simplex Method to solve the linear programming problem. The Simplex Method involves constructing a simplex table and iteratively improving the solution until an optimal solution is found.

The simplex table for the given problem would look like:

+-------+------+------+------+------+------+------+------+---------+

| Basis |  x   |  y   | x^2  |  y^2 | s1   | s2   | s3   | Solution|

+-------+------+------+------+------+------+------+------+---------+

|   x^2 |  1   |  2   |  1   |  0   |  0   |  0   |  0   |    18   |

|   y^2 |  1   |  1   |  0   |  1   |  0   |  0   |  0   |    8    |

|   y^2 |  2   |  1   |  0   |  0   |  1   |  0   |  0   |    20   |

|   P   | -70  | -50  |  0   |  0   |  0   |  0   |  0   |    0    |

+-------+------+------+------+------+------+------+------+---------+

Following the Simplex Method iterations, the optimal solution is obtained as x = 3, y = 1, with a maximum profit of $270.

(b) Changing the second constraint to x^2 + y^2 ≤ 11:

To solve graphically, we can plot the feasible region defined by the constraints and find the maximum point within that region.

By plotting the feasible region and the objective function P = 70x + 50y, we can find the point that maximizes the profit.

To confirm the results using MATLAB, you can input the constraints and the objective function into MATLAB's linear programming solver (e.g., linprog) to obtain the optimal solution and compare it to the results obtained from the Simplex Method.

Implementing the Simplex Method and generating a graphical representation of the problem are best suited for a specialized software or mathematical tool.

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The probability that the pitcher will throw fewer than 4 pitches to a batter is 0.35

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

P(E) = Number of favourable outcomes / total number of outcomes

This probability distribution is shown below:

Pitch                   1            2        3          4         5

Frequency         15         20      40        15        10

Probability         0.15     0.2      0.4      0.15      0.1

Thus the probability that the pitcher will throw fewer than 3 pitches to a batter = P(X < 4)

X  is the number of pitches thrown.

Therefore:

P(X < 4) = P(X = 1) or P(X = 2)

The additive rule of the probability states that if two events X and Y are dependent events, the probability of X or Y occurring is the sum of their individual probability.

P(X < 4) = P(X = 1) or

P(X = 2) = P(X = 1) + P(X = 2)

= 0.15 + 0.2

= 0.35

Hence, The probability that the pitcher will throw fewer than 4 pitches to a batter is 0.35

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Answer:

Is Square Root of 25 Rational or Irrational?  

Step-by-step explanation:

A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.

The answer is:

Work/explanation:

What are rational numbers?

Rational numbers are integers and fractions.

Irrational numbers are numbers that cannot be expressed as fractions, such as π.

Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.

Answer:

there will be 7 roses as I thought

The equation allows us to chart the tree's development over time and forecast its ultimate height.

A function is a mathematical formula that allots each input from one set, known as the domain, to precisely one output from another set, known as the range. A function can be used to model relationships between variables, answer issues, and make predictions. It can be represented by an equation, a graph, a table, or a verbal description. Numerous branches of mathematics, as well as disciplines like physics, engineering, finance, and computer science, make extensive use of functions. Typical instances of functions include: When a function is graphed, it always changes at the same rate and forms a straight line. They are frequently used to simulate relationships between two variables that are related linearly, such as time and location.

given

After d days, Alani created the following algorithm to measure the height of the banana tree:

h = d + 8

Since this function is linear, the banana tree's development will remain constant over time. According to the calculation, the tree starts out at a height of 8 units, and it increases by 1 unit per day after that.

We can enter a figure for d (the number of days) and solve for h using this equation (the height of the tree after d days). For instance, we can enter d = 10 into the calculation to get the height of the tree after 10 days:

h = 10 + 8

h = 18

Therefore, the altitude of the banana plant after 10 days would just be 18 units. This equation allows us to chart the tree's development over time and forecast its ultimate height.

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0.8458 rounded to the nearest tenth is 0.8 given cos is 0.696706709347

Answer:

I believe the answer is the first one A

Step-by-step explanation:

If you do this will construct the perpendicular bisector for AB.

Answer:

iT IS A

Step-by-step explanation:

Answer:

it would be 66 I hope this helps.

To find the proportion of adjustable/ fixed ratios, you will need to divide the number of adjustable items by the total number of items. For example, if you have 8 adjustable items and 10 total items, the proportion of adjustable items is 8/10, or 0.8.

To find the proportion of adjustable/fixed ratios, you need to follow these steps:

1. Identify the adjustable and fixed ratios in the question.
2. Convert the adjustable and fixed ratios into fractions.
3. Find the common denominator of the two fractions.
4. Multiply both the numerator and denominator of each fraction by the common denominator.
5. Subtract the numerator of the fixed ratio fraction from the numerator of the adjustable ratio fraction.
6. Simplify the resulting fraction if necessary.

For example, if you have an adjustable ratio of 2:3 and a fixed ratio of 1:4, you would first convert these ratios into fractions, 2/3 and 1/4. Next, you would find the common denominator, which is 12. You would then multiply both the numerator and denominator of each fraction by 12, resulting in 8/12 and 3/12. Finally, you would subtract 3 from 8 to get 5, and simplify the resulting fraction to 5/12. Therefore, the proportion of the adjustable/fixed ratios is 5/12.

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Answer: 10

Step-by-step explanation:

So since this is all about perimeter you just got to add the values together. So lets use 12 as the denominator for every fraction. 1/4 is equal to 3/12 and 2/3 is equal to 8/12. So in conclusion 3/12 plus 8/12 and 1/12 will equal 1 in total. and then add up all the whole numbers 4 + 2 + 3 + 1 will get you 10. So 10 is your answer.

Please make me brainliest

The amplitude of the graphs of the sine and cosine functions is the maximum value of the function.

In trigonometry, the amplitude of a sine or cosine function determines the maximum distance between the graph of the function and its central axis (usually the x-axis). It represents the magnitude of oscillation or the maximum displacement from the equilibrium position. The amplitude is always positive and can be identified by looking at the highest and lowest points of the graph. For both the sine and cosine functions, the amplitude is equal to the absolute value of the coefficient of the trigonometric term. For example, in the function y = Asin(x), the amplitude is A, and in the function y = Bcos(x), the amplitude is B. The larger the amplitude, the more stretched or compressed the graph becomes vertically.

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What is the amplitude of the graphs of the sine and cosine functions?

Answer:

A. -7 + -3 = -10

Step-by-step explanation:

Jane went down by 7, so -7. Then, she went down by 3, so -7 + -3.

-7 + -3 = -10

Hope this helped! <)

(Sorry if this is wrong!)

For conic section of the form:

The Ends of the Lactus Rectum is given as:

The e in the equation above is the Eccentricity of the Hyperbola.

This can be obtained by the formula:

Thus, comparing the standard form of the conic with the given equation, we have:

Then, we need to obtain the value of the Eccentiricity, e.

Hence, the coordinate of the ends of the each lactus rectum is:

Let's call the numbers x and y.
The ratio is x:y

Now, if we multiply them by the same number (let's call it z), we have :

zx:zy

And since they are both multiplied by z, we can simplify it and get x:y (basically reversing the step) and the ratio will stay the same

So no matter what number you multiply, as long as both of them are multiplied to the same number, you will be able to get an equivalent ratio. (Apologies if it doesn't make any sense..)

C ) If your bank goes out of business, you lose your money is a false statement .

Since banks are insured by FDIC . So if a bank becomes dissolves or becomes bankrupt FDIC covers the loss of customers of bank upto a certain limit .

A ) Banks are insured by the government.

This is a true statement .

B ) Money can be stolen or lost if you keep it at home . Even this is a true statement .

D ) Your money can grow if you keep it in a bank account . This is also a true statement .

Hence , C ) If your bank goes out of business, you lose your money is a false statement .

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Therefore, the general solution of the given second-order differential equation is y = c1 e^(-x/4) + c2, where c1 and c2 are constants.

To find the general solution of the given second-order differential equation 4y'' + y' = 0, we can use the method of separation of variables.

Let us assume that the solution to the equation is of the form y = e^(rx), where r is a constant.

Differentiating with respect to x, we get y' = re^(rx) and y'' = r^2e^(rx).

Substituting these expressions into the given differential equation, we get:

4y'' + y' = 4(r^2e^(rx)) + (re^(rx)) = 0

Simplifying and factoring out e^(rx), we get:

e^(rx)(4r^2 + r) = 0

This equation holds for all values of x if and only if the coefficient of e^(rx) is zero. Therefore, we get:

4r^2 + r = 0

Solving for r using the quadratic formula, we get:

r = (-b ± sqrt(b^2 - 4ac))/(2a)

where a = 4, b = 1, and c = 0. Substituting these values, we get:

r = (-1 ± sqrt(1^2 - 4(4)(0)))/(2(4)) = (-1 ± sqrt(1))/8

Therefore, the two solutions to the differential equation are:

y1 = e^(-x/4)

y2 = Ce^0 = C

where C is a constant of integration

The general solution to the differential equation is then given by the linear combination of these two solutions:

y = c1 e^(-x/4) + c2

where c1 and c2 are constants of integration that depend on the initial conditions of the problem.

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Answer: Julie is 8 years old, Ann is 12 years old

Step-by-step explanation:

A=Ann's age. J=Julie's age

A=J+4

A-4=(J-4)*2

A-4=2(J-4)

A=2(J-4)+4

2(J-4)+4=J+4

2J-8+4=J+4

2J-4=J+4

2J=J+8

J=8

A=J+4

A=8+4

A=12

Julie is 8 years old. Ann is 12 years old. :) hope this wasnt too late

Answer:

100 years is a century

Step-by-step explanation: