What is the f(n) for -5?
A.4
B.1
C.-1
D.-6

After 4 hours of discharging, the volume left in the tank would be 500 liters. The correct option is C.

Initially, the tank has a water capacity of 1500 liters.

After three hours of discharging, half of the water is discharged, which means 1500/2 = 750 liters have been removed from the tank.

To find the volume left after 4 hours of discharging, we need to subtract the additional amount discharged in the fourth hour.

Since the discharge rate remains the same, we can calculate the amount discharged in one hour as 750/3 = 250 liters.

Therefore, in the fourth hour, 250 liters would be discharged. Subtracting this from the remaining water after three hours (750 liters), we get 750 - 250 = 500 liters.

Therefore, the correct answer is c. 500 liters.

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The system of equations has exactly one solution.

Based on the information given, the equation is illustrated as:

2x - 3y = -4

-3x - 3y = 3

Add both equations

5x = -1

Divide

x = -1/5

Since 2x - 3y = -4

2(-1/5) - 3y = 4

-2/5 - 3y = 4

3y = -2/5 - 4

3y = - 4 2/5.

Divide

y = -4 2/5 ÷ 3

y = 1 7/15

Therefore, the system of equations has exactly one solution as the value of x and y are gotten.

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Answer:

Step-by-step explanation:

I would have thought the answer would be whole numbers...

using top line....

5x-5y + 7x-15 = 180 (that is a line)

12x - 5y = 195

using bottom line

4x+ 4y +2x+ y = 180

6x + 5y =180

~~~~~~~~~~~~~~~~~~

12x - 5y = 195

6x + 5y =180

(fives cancel)

18x = 375

x = 20.83

y= 11

Answer:

x=125/6

y=11

Step-by-step explanation:

Same side interior angles have a sum of 180 if the transversal passes through a pair of parallel lines.

So we have the following two equations:

7x-15+5x-5y=180

4x+4y+2x+y=180

Let's simply(combine like terms):

12x-5y-15=180

6x+5y=180

Add 15 on both sides for first equation:

12x-5y=195

6x+5y=180

Equations are set up so we can use linear combination or elimination (adding equations together to eliminate y):

18x=375

Divide both sides by 18:

x=375/18

Simplify (reduce fraction):

x=375/18 ÷3/3=125/6

Now let's go back and find y using either equation:

6x+5y=180 with x=125/6

6(125/6)+5y=180

125+5y=180

5y=180-125

5y=55

y=11

x=125/6 and y=11

\(7x +3 = 2x - 4 \\ 7x - 2x = - 4 - 3 \\ 5x = - 7 \\ x = \frac{ - 7}{5} \longrightarrow - \frac{7}{5} \)

\(7 ( - \frac{7}{5} )+ 3 = 2( - \frac{7}{5} ) - 4 \\ - \frac{49}{5} + 3 = - \frac{14}{5} - 4 \\ - \frac{49}{5} + \frac{15}{5} = - \frac{14}{5} - \frac{20}{5} \\ - \frac{34}{5} = - \frac{34}{5} \)

The equation is true for the value of x. Therefore the answer is x = -7/5

\( \large \boxed{x = - \frac{7}{5} }\)

The approximate values triangle for angle B, angle C, and side b are B ≈ 54.4 degrees, C ≈ 96.6 degrees, and b ≈ 36.8 units, respectively, rounded to the nearest 10th.

Given data:

Side a = 18

Side c = 27

Angle A = 29 degrees

Step 1: Find angle B using the law of sines:

sin(B)/c = sin(A)/a

sin(B)/27 = sin(29°)/18

sin(B) = (27sin(29°))/18

B = arcsin((27sin(29°))/18)

Step 2: Find angle C using the fact that the sum of angles in a triangle is 180 degrees:

C = 180° - A - B

C = 180° - 29° - B

Step 3: Find side b using the law of sines:

sin(C)/c = sin(A)/a

sin(C)/27 = sin(29°)/18

sin(C) = (27 × sin(29°))/18

b = (sin(C) × a)/sin(A)

Step 4: Substitute the given values into the equations and calculate the approximate values using a calculator:

B ≈ arcsin((27 × sin(29°))/18) ≈ 54.4 degrees

C ≈ 180° - 29° - 54.4° ≈ 96.6 degrees

b ≈ (sin(96.6°)*18)/sin(29°) ≈ 36.8

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The question is -

Solve the triangle. Angle A is opposite side a, Angle B is opposite side b and Angle C is opposite side c. Round final answers to the nearest 10th

Given data: side a = 18, side c = 27, angle A = 29 degrees.

Answer:

55/15-9/15=46/15 or 3 1/15

Step-by-step explanation:

Answer:

46/15  or  3 1/5

Step-by-step explanation:

Answer:

-11

Explanation:

Answer:

-11 + 52i

Step-by-step explanation:

The design ideas from three different firms are:

Based on the three design ideas above, the recommended one that firm should be chosen to develop its idea into a full design proposal is the The Clever Billboard in Korea - Provides luxury Lifestyle as well as website design, hotel marketing, social media management. This is because it is one that encompasses different kinds of business venture.

Therefore, The design ideas from three different firms are:

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The total number of games won by Jamie is not 11 according to the conditions given in the question.

What is an equation?

The equation is illustrated as a mathematical statement having an equal symbol in between two expressions, '='. It depicts that both sides of the equal sign are equal to each other.

Calculation of the number of games played by Jamie

Let us assume that x and y be the number of games that Jamie and Imani have won

According to the question, Imani has won 5 fewer games than Jamie i.e.

y = x - 5    —-- 1

The total number of games won by Jamie and Imani together is 30

x + y = 30

Using equation 1, put the value of y,

x + x - 5 = 30

2x - 5= 30

Now, substitute x by 11, and we get that the equality does not net

Thus, we can conclude that 11 is not the number of games won by Jamie

Hence, the total number of games won by Jamie is not 11 using the given equations.

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Answer:

A addition

Step-by-step explanation:

You would simply everything in the parentheses first and then multiply that by 1.  Lastly, you would add 8.

Helping in the name of Jesus.

Answer:

Tank 2 filling faster

Step-by-step explanation:

Tank 1 filling at 1 1/8 gallons per minute (3/4 ÷ 2/3)

Tank 2 filling at 1 1/4 gallons per minute (5/8 ÷ 1/2)

Answer: Monday The probability that both managers will be available is 0.7

Step-by-step explanation:

Just took the test

Answer:  28

Step-by-step explanation:

7x4= 28

7/28 hope this helps

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Let's solve :

a.) The equation will be :

b.) the table will be like this :

point (1 , -3)

point (3, -1)

point (-1 , 3)

point (-3 , 1)

c.) graph the equation as shown in attachment !

Answer:

I think it is 3 feet

Step-by-step explanation:

12:9 is equal to 4:3

4:? should also be equal to 4:3, so ?=3

Hope this helps

let me know if it does and if it is right

Answer:

A proportion is an equality of two ratios.

...

Things to remember

Determine whether the ratio is part to part or part to whole.

Calculate the parts and the whole if needed.

Plug values into the ratio.

Simplify the ratio if needed. Integer-to-integer ratios are preferred.

The expression  5w + 2w²   represents the area, in square feet, for each cabin size

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a complete sentence. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.

Area of a rectangle = length * width = l*w

length is equal to 5 feet more than twice the width.

=> l= 5+2w

So, area = ( 5+2w  ) *w

             = 5w + 2w²  

Thus, the expression  5w + 2w²   represents the area, in square feet, for each cabin size

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A function that represents this situation of selling 3 duct tape wallet per day out of of 160 duct tapes wallets produced is

Information from the problem

You have made 160 duct tape wallets to sell

If you sell 3 each day

From the information we can deduce that

assuming amount left is y and the number of days x the  we have

y = 160 - 3x

Therefore we can say that the expression to represent the situation of selling 3 duct tape wallet per day is  y = 160 - 3x

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Answer:

The area of the backyard is 18 cm

Answer:

39m²

Step-by-step explanation:

Area: Multiply the area and then add the remainder.

To produce the function f(x) = 2| x−1 | − 3 from the parent function f(x) = |x|, three transformations are required.

Horizontal shift: The function is shifted horizontally by 1 unit to the right. This is done by subtracting 1 from the input value of the function. The transformation is f(x) → f(x − 1).

Vertical stretch: The function is vertically stretched by a factor of 2. This is done by multiplying the output value of the function by 2. The transformation is f(x) → 2f(x − 1).

Vertical shift: The function is vertically shifted down by 3 units. This is done by subtracting 3 from the output value of the function. The transformation is f(x) → 2f(x − 1) − 3.

To find points on the function, we can substitute different values of x into the function and calculate the corresponding y-values. For example:

When x = 0: f(0) = 2|0 − 1| − 3 = -5

When x = 1: f(1) = 2|1 − 1| − 3 = -3

When x = 2: f(2) = 2|2 − 1| − 3 = -1

Using these points, we can plot the graph of the function f(x) = 2| x−1 | − 3. The graph is a V-shaped curve with the vertex at (1,-3), opening upwards. The points we found above can be plotted on the graph as (-1,-5), (1,-3), and (2,-1).

we have that

the radius is

r=12.1 in

the volume of a sphere is

substitute the given values

Part 2

In this problem we have the diameter of the sphere

D=13.6 mm

so

r=D/2=13.6/2=6.8 in

substitute in the formula

Answer:

8y = 9x - 7

Step-by-step explanation:

perpendicular means we take the slope as the negative reciprocal.

so

slope is 9/8

y=mx+b

b is -7/8

so the answer is

y=(9/8)x - 7/8

or 8y = 9x - 7

the sum x + y is at least 20. We can achieve this lower bound by choosing x = y = 10, since then xy = 100 and x + y = 20. This is the smallest possible value of the sum, so the two positive numbers are 10 and 10.

Let x and y be the two positive numbers whose product is 100, so xy = 100. We want to find the smallest possible value of x + y.

Using the AM-GM inequality, we have:

x + y ≥ 2√(xy) = 2√100 = 20

what is numbers?

Numbers are mathematical objects used to represent quantity, value, or measurement. There are different types of numbers, including natural numbers (1, 2, 3, ...), integers (..., -3, -2, -1, 0, 1, 2, 3, ...), rational numbers (numbers that can be expressed as a ratio of two integers), real numbers (numbers that can be represented on a number line), and complex numbers (numbers that include a real part and an imaginary part).

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I don't think it really matters if the denominator is negative in a literal equation. Think about a simpler example with numbers. Does it matter whether a fraction is -1/2 or 1/-2? No, they are both the same. Therefore, I would say that the denominator of a literal equation can be negative.

Good luck with your exams!

The value of y that makes the two matrices inverse of each other is 1/2

The inverse of a square matrix A, denoted by A⁻¹.

The formula is \(\frac{1}{|A|}.adj(A)\)

The product of A and A⁻¹  should be the identity matrix. The identity matrix that results will be the same size as matrix A.

Inverse of given first matrix is

\(\left[\begin{array}{cc}6&14\\-2&-4\end{array}\right]\)

Determinant = |A|  = 6(-4) - (14)(-2)

= -24 + 28

= 4

Adjoint of matrix = \(\left[\begin{array}{cc}-4&-14\\2&6\end{array}\right]\)

Inverse of matrix = \(\frac{1}{|A|}.adj(A)\)

Therefore , Inverse = \(\frac{1}{4}.\left[\begin{array}{cc}-4&-14\\2&6\end{array}\right]\)

= \(\left[\begin{array}{cc}-4/4&-14/4\\2/4&6/4\end{array}\right]\)

A⁻¹ = \(\left[\begin{array}{cc}-1&-7/2\\1/2&3/2\end{array}\right]\)

Is required inverse

If we compare the inverse with second matrix

y = 1 / 2

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Answer:

third option:      1/2

Step-by-step explanation:

Arrays allow the programmer to store and access a large number of items in a single, contiguous block of memory.

This makes it easier to access individual items, as well as compare and manipulate groups of items. Furthermore, the use of arrays allows for the efficient use of memory, as each item only needs to be stored once.

1. An array is a collection of data stored in a single, contiguous block of memory.

2. This type of data structure allows for the efficient storage and manipulation of large numbers of items.

3. The items can be indexed, allowing for easy access to individual items, or entire groups of items.

4. Arrays can be manipulated in a number of ways, such as sorting, searching, and calculating various statistics.

5. Arrays are often used to store collections of related data, such as student grades, or a list of products.

6. By using arrays, the programmer can efficiently store and access large numbers of items, while using minimal memory resources.

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The probability of the entire sample space group of answer choices is always equal to 1. This means that the sum of the probabilities of all possible outcomes in an experiment is equal to 1.

The reason for this is that the sample space represents all possible outcomes of an experiment, and one of these outcomes must occur. Therefore, the sum of the probabilities of all possible outcomes must be equal to 1. This allows us to calculate the probability of an event by dividing the number of outcomes that satisfy the event by the total number of possible outcomes.

It is important to note that probabilities are always between 0 and 1, inclusive. This means that the probability of an event can never be negative or greater than 1. If the probability of an event is 0, it means that the event is impossible, while a probability of 1 indicates that the event is certain to occur. Probabilities between 0 and 1 represent events that are possible but not certain to occur, and the closer the probability is to 1, the more likely the event is to occur.

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Answer:

23 get this right bro

Step-by-step explanation:

This

8 - 5(-1)3

8 + 15

23

Answer:not

Step-by-step explanation:

Quadratic equations involve exponents