a tree that is 3 feet tall is growing at a rate of 25% each year. how tall will the tree be in 5 years?

The constant of variation of the given problem is calculated as; 240 miles

A constant of variation (k) is defined as a ratio that represents the relationship between the independent variable (x) and the dependent variable (y).

Now, we are told that average speed, s, in miles per hour is inversely proportional to the time, t, the trip takes in hours. Thus;

s ∝ 1/t

Thus;

s = k(1/t)

where k is the constant of proportionality

we are told that If the train takes 2 hours, and the average speed is 120 mph. Thus;

120 = k(1/2)

Multiply both sides by 2 to get;

240 miles = k

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Answer:

1/4

Step-by-step explanation:

First you add all of the marbles in the bag which is 16 marbles.  The fraction of red marbles to the total would be 4/16.  In the simplest form that is 1/4. You can also just do 4 divide by 16 which gives you 0.25 and in decimal form that is 1/4.

Answer:

three times "x" plus four

Step-by-step explanation:

three times "x" plus four

Hope this helps!

Answer:

С.

Step-by-step explanation:

From the options provided the only one that represents a proportional relationship was The cost of purchasing a box of socks for $1.75 per sock plus $2.15 for the box. This is because the total cost of the boxes depends on the number of socks that are bought since every pair of socks that are bought comes with a box which causes the total costs of the boxes to increase. Therefore, the number of sock pairs and the number of boxes has a proportional relationship.

The group of individuals fitting a description is called option D: Population, this is because, in statistics, a population is seen as am entire group of individuals, items, or elements that tends to have or share a common characteristics.

The term "population" describes the complete group of people or things that you are interested in investigating. It is the group of individuals or thing(s) about which you are attempting to draw conclusions.

There are infinite and finite populations. A population with a set quantity of people or things is said to be finite. An endless population is one that has an infinite amount of people or things.

Therefore, the correct option is D

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See full text below

A group of individuals fitting a description is the _____

Which of the term below fit the description above.

A.census

B.sample

C.parameter

D.population

\(\huge\boxed{\boxed{Hi~there!}}}\)

17-q=6

Move 17 to the right, using the opposite operation:

-q=6-17

-q=-11

Now, divide both sides by -1 to isolate q.

\(\huge\boxed{Answer:{\boxed{\text{q=11}}}}\)

Hope it helps! Enjoy your day!

-Sparkles-

Answer:

q = 11

Step-by-step explanation:

17 - q = 6

- q = 6 - 17

- q = - 11

q = 11

Hope it helps ⚜

Answer:

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

Find the composition of the functions f(x) and g(x), which is written as f(g(x)).

Given functions:

Find f(g(x)):

Evaluate f(g(2)):

So, (f·g)(2) = 14.

Answer:88,425

Step-by-step explanation: People move

Answer:

{7, 9}

(Numbers from 1 to 10 equal to or greater than 7 are 7 and 9)

Step-by-step explanation:

We have to find the set of whole number greater than and equal to 7 from 1 to 10,

Now, From 1 to 10, the odd numbers are, 1,3,5,7,9,

And of these, 7 and 9 are equal to or greater than 7

So, we get the set,

{7, 9}

Answer: 1/6

Step-by-step explanation: It was the first question on my quiz, hope it helped:)

The equivalent value of the expression \(36^{-(\frac{1}{2})\) is, 1/6.

Some common rules of exponents are

xᵃ×xᵇ = xᵃ⁺ᵇ.

xᵃ/xᵇ = xᵃ⁻ᵇ.

Addition and subtraction of exponents are only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.

Given, An expression \(36^{-(\frac{1}{2})\).

We know, 6×6 = 36 = 6².

Therefore, \(36^{-(\frac{1}{2})} = (6^2)^{-(\frac{1}{2})\).

\((6^2)^{-(\frac{1}{2})} = (6)^{2\times{-(\frac{1}{2})\).

= 6⁻¹.

= 1/6.

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Answer:

B) reject the null hypothesis.

Step-by-step explanation:

Answer:

-8x - 24

Step-by-step explanation:

To evaluate f(x)+f(2), we first need to find the values of f(x) and f(2):

\(f(x) = -8x - 4\)

\(f(2) = -8(2) - 4 = -16 - 4 = -20\)

Now we can substitute these values into the expression f(x) + f(2):

\(f(x) + f(2) = (-8x - 4) + (-20)\)

Simplifying, we can combine the constants:

\(f(x) + f(2) = -8x - 24\)

So the expression f(x) + f(2) simplifies to -8x - 24.

Answer:

3/30 water

Step-by-step explanation:

3/5 water  = 1   portion

x = 1/6 portion

x= (1/6 portion) (3/5 water) / 1 portion

x =3/30 water

The second difference is constant and equal to 0, this table represents a quadratic function.

It should be noted that to determine if the table of data represents a quadratic function, we need to look at the second differences of the function values. The first differences can also be calculated to help us find the second differences.

The first difference is the difference between consecutive function values.

2nd 4th 6th 8th 10th

2 7 12 17 22

The first difference is the difference between consecutive values of the first difference is 5.

The second difference is the difference between consecutive values of the first difference.

2nd 4th 6th

0 0

Since the second difference is constant and equal to 0, this table represents a quadratic function. Specifically, the function is f(x) = 2x² + 9x + 2.

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The inverse of the function f(x) = x + 4 is given as f⁻¹(x) = x - 4

An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by ‘f’ or ‘F’, then the inverse function is denoted by f-1 or F-1.

In this problem, the function given is f(x) = x + 4;

We can find the inverse of the function as;

y = x + 4;

Let's switch the variables by replacing x as y and y as x;

x = y + 4

Solving for y;

y = x - 4

f⁻¹(x) = x - 4

The graph of the function is attached below

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Answer:

-23 degree

Step-by-step explanation:

=>-14-5-3-1

=>-23

Answer:

-23°

Step-by-step explanation:

= -14 - (5+3+1)

= -14 - 9

= -23°

Answer:

367.5

Step-by-step explanation:

5% of 350 is 17.5

$350+$17.5=367.5

The Value of x is 2/3.

The value of x, we need to determine the mean of the given values and set it equal to the expression for the mean.

The mean (average) is calculated by adding up all the values and dividing by the number of values. In this case, we have five values: x, x+3, x-5, 2x, and 3x.

Mean = (x + x+3 + x-5 + 2x + 3x) / 5

Next, we simplify the expression:

Mean = (5x - 2 + 3x) / 5

Mean = (8x - 2) / 5

We are given that the mean is also equal to x:

Mean = x

Setting these two expressions equal to each other, we have:

(x) = (8x - 2) / 5

To solve for x, we can cross-multiply:

5x = 8x - 2

Bringing all the x terms to one side of the equation and the constant terms to the other side:

5x - 8x = -2

-3x = -2

Dividing both sides by -3:

x = -2 / -3

Simplifying, we get:

x = 2/3

Therefore, the value of x is 2/3.

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Answer:

x = 4/3

Step-by-step explanation:

The equivalent exponential equations are given as follows:

\(2^{4x} = 2^{3(x - 3)}\)

The exponential expression for this problem is defined as follows:

\(2^{4x} = 8^{x - 3}\)

The number eight is the third power of 3, that is:

8 = 2³.

The power of a power rule is used when a single base is elevated to multiple exponents.

Then the simplified expression is obtained keeping the base, while the exponents are multiplied.

Meaning that the equivalent expression on the right side of the equality in this problem is given as follows:

\(8^{x - 3} = (2^3)^{x - 3} = 2^{3(x - 3)}\)

Meaning that the correct option is given by the fourth option.

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Sales tax and tip will increase the price of an item.

The cost of each meal is: $10.89

Let the cost of both meals be x.

A 20% tip means that, the current price is:

\(Price = x \times (1 + 20\%)\)

A 6% sales tax on the meal means that, the current price is:

\(Price = x \times (1 + 20\%) \times (1 + 6\%)\)

So, we have:

\(Price = x \times (1 + 0.20) \times (1 + 0.06)\)

\(Price = x \times (1.20) \times (1.06)\)

\(Price = x \times 1.272\)

The amount paid is $27.72

So, the equation becomes

\(27.72= x \times 1.272\)

Make x the subject

\(x = \frac{27.72}{1.272}\)

\(x = 21.78\)

So, the cost of each meal is:

\(Each= \frac{21.78}{2}\)

\(Each= 10.89\)

Hence, the cost of each meal is: $10.89

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The function that can easily be seen when a quadratic function is given

in the form: y = a (x − ℎ)^2 + K are

A parabola is given in factored form when it is in the form

y = a (x − ℎ)^2 + K

the factored form can be rearranged

(y - k) = a (x − ℎ)^2

The vertex is v(h, k)

the axis of symmetry of the parabola when the parabola is written in the form as in the question is of the formula x = -b/2a.

this says that the axis of symmetry is a vertical line

the focus is given by f(h, k + 1/4a)

"a" curve opens up when a is positive and down when a is negative. when (x − ℎ) = a (y − k)^2, a opens left or right

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The length of unknown side x is 58.

The correct answer is option D.

To find the unknown side length, x, in a right triangle with the base measuring 42 and the perpendicular measuring 40, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Let x be the hypotenuse. Applying the Pythagorean theorem, we have:

\(x^2 = 42^2 + 40^2\)

Simplifying:

\(x^2\) = 1764 + 1600

\(x^2\)= 3364

Taking the square root of both sides to solve for x:

x = \(\sqrt{3364}\)

Simplifying the square root:

x = (\(\sqrt{4 * 841)}\)

Since 841 is a perfect square (\(29^2\)), we can further simplify:

x = 2 * 29

x = 58

Therefore, the unknown side length, x, is equal to 58.

From the options provided the correct option is D.

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Answer: It is expected to increase by 240 people

Step-by-step explanation: 0.04*6000=240

Answer:

(x) ∠CAB

Step-by-step explanation:

In ΔCOD and ΔBOA

\(\frac{OA}{OB} = \frac{OD}{OC} \\\\\implies \frac{OC}{OB} = \frac{OD}{OA}\)

Also,

∠COD = ∠BOA (vertically opposite angles)

⇒ ΔCOD and ΔBOA are similar

⇒ ∠CDO = ∠BAO

⇒ ∠CDB = ∠BAC

⇒ ∠CDB = ∠CAB

Answer: attribute of circle A

Step-by-step explanation: took it ur good

After answering the presented question, we can conclude that Ty Cobb's performance had already peaked by 1918, and his future potential was questionable.

A mathematical equation is a formula that links two statements and uses the equals sign (=) to indicate equality. In algebra, an equation is a statement that demonstrates the equality of two mathematical expressions. The equal sign divides the variables 3x + 5 and 14 in the equation 3x + 5 = 14, for instance. The relationship between the two phrases that appear on opposing sides of a letter is explained by a mathematical formula. Frequently, the symbol and the single variable are identical. as 2x - 4 equals 2, for example.

Ty Cobb had a batting average of.382 and a slugging percentage of.521, while Babe Ruth had a batting average of.300 and a slugging percentage of.555 in 1918. It is tough to make a firm determination on whether to trade Ruth for Cobb based only on this information.

Nonetheless, given the two players' total performance and potential, it would be unwise to deal Babe Ruth for Ty Cobb. Babe Ruth was recognized for his tremendous hitting and pitching ability and would go on to become one of baseball's best players of all time, but Ty Cobb's performance had already peaked by 1918, and his future potential was questionable.

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