The owner of a recreation area filled a small pond with water in 120 minutes. The pond already had some water at the beginning. What is the domain and range for this problem

4π  is the period of the tangent function.

What does Tangent Function mean?

The tangent function, one of the primary six trigonometric functions, is typically expressed as tan x. When considering the angle in a right-angled triangle, it is the ratio of the opposite side to the adjacent side.

                                        It is crucial to understand the tangent function in trigonometry because it is a periodic function. Using the unit circle will make understanding the tangent function the simplest possible.

  a tangent function f (x) on the interval [–2π, 2π].

∵ f(-2π) and f(2π) are not defined.

∴ x = -2π and x = 2π are two closet asymptotes .   { the asymptotes of        

                                                                                tangent function.}

  ∴ period = 2π - (- 2π )

                  = 4π

Learn more about tangent function

brainly.com/question/30910929

#SPJ1

Step-by-step explanation:

Like Terms: Terms that have identical variable parts (same variable(s) and same exponent(s)). When simplifying using addition and subtraction, you combine “like terms” by keeping the "like term" and adding or subtracting the numerical coefficients.

Answer:

opposite terms

complex

Answer:

Answer = 52

5+47= 52

done

Answer:

i dont know if am completely right since your question doesn't really make sense but i think its y = 10

Step-by-step explanation:

Remove the "y" -  -5 + 20

Add up - -5 + 20 = 15

Add the other -5y -   -5 + 15 = 10

Re-add the "y" -  10y

y = 10

The amount of Bruno's yearly pay deducted for FICA is approximately

A. $4,524.15. The closest option provided is A. $4521.15.

To calculate the amount of FICA deducted from Bruno's yearly pay, we need to consider the specific FICA tax rates for Social Security and Medicare.

As of 2021, the Social Security tax rate is 6.2% on income up to a certain threshold, and the Medicare tax rate is 1.45% on all income.

Given that Bruno's gross income per pay period is $4925 and he is paid monthly, we can calculate the yearly gross income as follows:

Yearly gross income = $4925 * 12 = $59,100

To calculate the FICA deduction, we need to find the sum of the Social Security and Medicare taxes. Using the respective tax rates mentioned earlier:

Social Security deduction = $59,100 * 6.2% = $3,667.20

Medicare deduction = $59,100 * 1.45% = $856.95

Adding these two deductions together:

FICA deduction = $3,667.20 + $856.95 = $4,524.15

Therefore, the amount of Bruno's yearly pay deducted for FICA is approximately $4,524.15.

The closest option provided is A. $4521.15.

for such more question on amount deducted

https://brainly.com/question/25821437

#SPJ8

When 'x' is 5, the Algebraic  expression 3x - 4 evaluates to 11.

To find the algebraic expression for "4 less than the product of 3 and some number," let's break it down step by step.

First, let's define the unknown number as 'x.' Since the problem states "the product of 3 and some number," we can express this as 3 * x or simply 3x.

Next, we want to subtract 4 from this product. The phrase "4 less than" indicates subtraction, so we subtract 4 from 3x. This can be represented as 3x - 4.

In summary, the algebraic expression for "4 less than the product of 3 and some number" is 3x - 4, where 'x' represents the unknown number.

To calculate the value of this expression for a specific value of 'x,' you substitute that value into the expression and simplify. For example, if 'x' is 5, you would substitute 5 into the expression:

3(5) - 4

This simplifies to:

15 - 4 = 11

So, when 'x' is 5, the expression 3x - 4 evaluates to 11.

In general, the algebraic expression allows us to represent a mathematical relationship between quantities using symbols and operations. By substituting specific values into the expression, we can calculate the corresponding results.

For more such question Algebraic  expression visit:

https://brainly.com/question/2164351

#SPJ8

Note the complete question:

Algebraic expression for 4 less than the product of 3 and some number

What is the algebraic expression for "4 less than the product of 3 and some number?

Please help me understand the meaning of how to calculate.

The system has an infinite number of solutions, but the only solution is (a, b) = (0, 0).

The given system of equations can be solved using the substitution method. We can begin by solving the first equation,\(a^2 + b^2\), for either a or b. Let's solve for a:

\(a^2 + b^2 = 0\)

\(a^2 + b^2 = 0\)

\(a^2 = -b^2\)

\(a = \pm\sqrt(-b^2)\)

We can substitute this expression for a into the second equation, \(3a^2 - 2ab - b^2 = 0\), and simplify:

\(3(\pm\sqrt(-b^2))^2 - 2(\pm\sqrt(-b^2))b - b^2 = 0\)

\(3b^2 - 2b^2 - b^2 = 0\)

0 = 0

Since 0 = 0, this means that the system of equations has an infinite number of solutions. In other words, any values of a and b that satisfy the equation \(a^2 + b^2 = 0\) will also satisfy the equation \(3a^2 - 2ab - b^2 = 0\)

However, the equation \(a^2 + b^2 = 0\) only has a single solution, which is a = b = 0. Therefore, the solution to the system of equations is (a, b) = (0, 0).

Learn more about substitution here:

brainly.com/question/22340165

#SPJ1

Step-by-step explanation:

I hope this answer is helpful ):

The answer will be 0. 10 >  0. 01 . Option B

Given the values as;

Turn the values into proper fractions

a. 0. 10 = 10/ 100

Reduce to simpler terms

= 10/ 100

= 1/ 10

b. 0. 01 = 1/ 100

a = 1/ 100

b = 1/ 100

This means that both decimals are not of  equal proportion and thus a is greater than (>) b

Thus, the answer will be 0. 10 >  0. 01 . Option B

Learn more about decimals here:

https://brainly.com/question/1827193

#SPJ1

The value of secant XY is 37.5 units.

The Secant-Secant Theorem states that "if two secant segments which share an endpoint outside of the circle, the product of one secant segment and its external segment is equal to the product of the other secant segment and its external segment".

Using the theorem above, we can say:

VZ * VW = VX * VY

30 * 45 = 22.5 * VY

22.5VY = 1350

VY = 1350/22.5

VY = 60 units

Since VY = VX + XY. We have:

60 = 22.5 + XY

XY = 60 - 22.5

XY = 37.5 units

Learn more about Secant-Secant Theorem on:

https://brainly.com/question/30242636

#SPJ1

It's the sum of the three masses:

\(7.3\cdot10^{22} + 590\cdot10^{22} + 1.3\cdot10^{22} = (7.3 + 590 + 1.3)10^{22} = 598.6\cdot10^{22}\)

Answer:

below

Step-by-step explanation:

Scale is 1 inch =  2 feet

Tracy's height is 1/2 the number of feet in inches

   her father's height is then   3 inches

Answer:

The perimeter should be 49 centimeters

Step-by-step explanation:

You're just adding up the centimeters that are stated in the question and then just putting the number there in the answer

Answer:

angles BED and DEA, and angles AEC and BEC are supplementary angles

Step-by-step explanation:

If you do not know what supplementary angles are, then just know that it means two angles added together that equal 180 degrees. So, all you need to do is find two angles on the picture that equal 180 degrees when added together.

I hope this helps! :)

Answer:

Step-by-step explanation:

Divide by y

kl/y = f/(p + n) + r/u              Subtract r/u from both sides

kl/y - r/u = f/(p + n)               Multiply both sides by (p + n)

(kl/y - r/u ) (p + n) = f            Divide by (kl/y - r/u)

p + n = f / (kl/y - r/u)             Subtract n from both sides

p  =  f / (kl/y - r/u)  - n

I think I'd leave this as the answer. I don't think you are expected to make it a 2 tier fraction.

Answer:

6/18 = 1/3, 2/6, 3/9 I don't know if it's correct

The equivalent division is 1/3.

Expressions that look different but perform the same function are known as equivalent expressions. When we plug in the same value or values for the variables, two algebraic expressions that are equivalent have the same value.

Given 6/18

since 18 is completely divisible by 6 the expression will become

1/3,

all the division expressions which are multiple of 1/3 are equivalent expressions for 6/18,

Hence the division expression that is equivalent to the fraction 6/18 are all multiple of 1/3.

Learn more about equivalent expressions;

https://brainly.com/question/28170201

#SPJ2

Answer:

volume of a cylindrical water tank = 70,650cm³

Step-by-step explanation:

volume of cylinder, V = πr²h

where π = 3.14

h = 100cm

r = ?

given is diameter = 30cm

r = d/2 = 30/2 = 15cm

substituting the values in the formula,

V = 3.14 * 15² * 100

= 3.14 * 225 * 100

= 70,650cm³                        

Answer:

How much space it would take up: 706.86 square centimeters of floor space and extend vertically to a height of 100 cm

Volume: 706,500 cm³

Step-by-step explanation:

How much space it would take up:

To determine the space occupied by a cylindrical water tank in a room, we need to consider its dimensions and the area it covers on the floor.

The diameter of the tank is given as 30 cm, which means the radius is half of that, 15 cm.

To calculate the space it occupies on the floor, we need to find the area of the circular base. The formula for the area of a circle is A = πr², where A is the area and r is the radius.

A = π(15 cm)²

A = π(225 cm²)

A ≈ 706.86 cm²

So, the circular base of the tank occupies approximately 706.86 square centimeters of floor space.

The height of the tank is given as 100 cm, which represents the vertical space it occupies in the room.

Therefore, the cylindrical water tank would take up 706.86 square centimeters of floor space and extend vertically to a height of 100 cm in the room.

Volume:

To calculate the volume of a cylindrical water tank, we can use the formula V = πr²h, where V is the volume, r is the radius, and h is the height.

First, we need to find the radius by dividing the diameter by 2:

Radius = 30 cm / 2 = 15 cm

Now we can calculate the volume:

V = π(15 cm)²(100 cm)

V = 3.14 * 225 cm² * 100 cm

V = 706,500 cm³

Therefore, the cylindrical water tank will occupy a volume of 706,500 cm³ or 706.5 liters.

Answer:

I just need points I have ro freaking clue

Check the picture below.

so then γ ≈ 180 - 69 - 43, γ ≈ 68.

Answer:

-1/3

Step-by-step explanation:

slope = rise/run = -1/3

Answer:

68

Step-by-step explanation:

Hope this helped! :)

Answer:

-28

Step-by-step explanatio

Answer:

-52

Step-by-step explanation:

-13 - (15) - (24) = -52

Answer:

There is no picture

Step-by-step explanation:

Answer:

\(\frac{4}{5}\)

0.8

Step-by-step explanation:

Happy to help:)

Answer:

A. 2/3

Opposite Sides of a Parallelogram

The two pairs of sides in a parallelogram are parallel to each other.

Parallel lines have the same slope.

The slope of the opposite sides of a parallelogram are congruent (equal in measure).

Given:

Slope of PQ = 2/3

Slope of QR = -1/2

For PQRS to be a parallelogram, the slope of SR must be same as the slope of PQ.

This implies that: Slope of SR = Slope of PQ = 2/3.

Therefore, based on the properties of a parallelogram, the slope of SR for PQRS to be a parallelogram would be: 2/3.

Answer:

i think the answer is 38 because u first answer 4x5 and then 7x7 and then 3x5 and hlthen u subtract 20 from 15 and then u add 5 and 42 and then when u get ur answer of 47 u subtract 9

According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.

The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:

More can be learned about the Empirical Rule at https://brainly.com/question/10093236

#SPJ1

Answer:

25

Step-by-step explanation:

l x w = h

25 x 7.2 = 180

Answer:

The angles remain the same for all values of n. After a dilation, the angle measurements for the image and the preimage are always equal.

Step-by-step explanation:

Answer:

The angles remain the same for all values of n. After a dilation, the angle measurements for the image and the preimage are always equal.

Step-by-step explanation: