-5+(-4)+(-1)• write a real-world situation that could match the expression. • show all of the work you did to simplify the expression. • provide an explanation of what your answer means in the context of your real-world situation.

The exponential function that best represents the relationship between f(t) and t is \(f(t) =100(0.5)^t\)

From the question, we have the following parameters that can be used in our computation:

t    f(t)

0    100

1     50

2     25

From the above, we have the following

Initial value, a = 100

Rate, b = 50/100

Evaluate

b = 0.5

The function is represented as

\(f(t) =ab^t\)

So, we have

\(f(t) =100(0.5)^t\)

Hence, the exponential function that best represents the relationship between f(t) and t is \(f(t) =100(0.5)^t\)

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Answer:

first

Step-by-step explanation:

Answer: first, 23

Step-by-step explanation

For the first one the unit rate is 1/23

And for the second the unit rate is 1/32

Answer:

true

Step-by-step explanation:

Answer: 5x^3+28x+8

Step-by-step explanation:

There are multiple steps to this:

First perform distributive property to each set of parentheses:

ie. 6x(x+5) = 6x*x + 6x*5= 6x^2+30x

6x^2+30x+8-2x-6x^2+5x^3

Combine like terms giving you your answer:

5x^3+28x+8

Hope this helps :)

Answer:

 =  1.6

Unless you meant to clarify what in the equation you needed, but that is the answer to it.

Answer:

Step-by-step explanation:

570.675

A kite has reflective symmetry but not rotational symmetry.

In common parlance, the term "symmetry" describes a sense of lovely proportion and balance. A more exact meaning of "symmetry" can be found in mathematics, where it typically refers to an object that is unaffected by certain transformations like translation, reflection, rotation, or scaling. Symmetry in mathematics means that when one shape is moved, rotated, or flipped, it looks exactly like the other shape. When something is identical on all sides, it is said to be symmetrical. If a center dividing line (also known as a mirror line) can be drawn on a shape to demonstrate that both of its sides are identical, then the shape is said to be symmetrical.

Given,

A kite has reflective symmetry but not rotational symmetry.

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Answer:

8 cents

Step-by-step explanation:

i'm going to assume you mean the value the store gets from selling the apples

33 - 25 =8

Answer:

B. 864 mm³

Step-by-step explanation:

Volume = area base x height

Area base = 48

Height = 18

Multiply:

48 x 18 = 864

Units are mm³

Answer = 864 mm³

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

The volume of the prism is 864 cubic units.

To calculate the volume of a prism, we use the formula: Volume = Area of Base x Height. In this case, the area of the base is given as 48 square units, and the height is given as 18 units.

To find the volume, we multiply the area of the base by the height:

Volume = 48 x 18 = 864 cubic units.

Therefore, the volume of the prism is 864 cubic units. Since the base area is given in square units and the height is given in units, the volume is expressed in cubic units. In this case, the units are mm³ (cubic millimeters).

Thus, the proper calculation yields a volume of 864 mm³.

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Answer:

56.25 m³ (Or) 56 1/4 m³

Step-by-step explanation:

5x2.5x4.5= 56.25 m³

The probability that a randomly chosen unit of insulin came from the plant in Jefferson City given that is defective is 72.97%.

Given that a biochemical research company produces 50% of its insulin in Kansas and the rest in Jefferson, and 0.5% of Kansas's insulin is defective, while 1.35% of Jefferson's also is defective, to determine what is the probability that a randomly chosen unit of insulin came from the plant in Jefferson City given that it is defective, the following calculation must be performed:

Therefore, the probability that a randomly chosen unit of insulin came from the plant in Jefferson City given that is defective is 72.97%.

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Easy way to do this, divide 24 with 3, you will get 8. That means 8 is 1/3 of 24. To get 2/3 you just add 8+8 which equals to 16

Monte Carlo simulation can done by generating a large number of random points within the quarter circle and the square, we can obtain an accurate estimate of pi using the formula pi/4 = area Q/area S.

Monte Carlo simulation is a statistical method that involves generating random numbers to simulate real-life scenarios. In this case, we will use the method to approximate the value of pi by generating random points inside the quarter circle Q and the square S.

The algorithm for this simulation is as follows:

1. Set the number of random points (n) to be generated.

2. Initialize two counters: count_Q and count_S to zero.

3. Generate n random points within the square S. Each point is represented by a pair of random numbers (x,y) such that 0 <= x <= 1 and 0 <= y <= 1.

4. For each point generated, determine if it falls within the quarter circle Q by checking if x^2 + y^2 <= 1. If it does, increment the count_Q by 1.

5. Increment the count_S by 1 for every point generated.

6. Calculate the ratio of count_Q to count_S, which represents the ratio of the area of Q to the area of S.

7. Multiply the ratio obtained in step 6 by 4 to get an approximation of pi.

The logic behind this algorithm is that the ratio of the areas of the quarter circle Q to the square S is pi/4. Thus, by generating random points within the square S and determining the number of points that fall inside the quarter circle Q, we can estimate the value of pi.

To implement this algorithm in Excel, we can use the RAND() function to generate random numbers for the x and y coordinates of each point. We can then use an IF statement to determine if each point falls within the quarter circle. We can use a loop to generate a large number of random points, such as 10,000 or 100,000, to obtain a more accurate estimate of pi.

In summary, Monte Carlo simulation is a powerful tool for approximating the value of pi using random numbers and the properties of geometric shapes. By generating a large number of random points within the quarter circle and the square, we can obtain an accurate estimate of pi using the formula pi/4 = area Q/area S.

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Answer:

the answer is 105

Step-by-step explanation:

because 5×3=15 so 15×7 =105

Answer:

4

Step-by-step explanation: 77-49 is 28 and 7 times 4 is 28

Answer: A side of a square for the area given 100/9 square meters, then length = 3.33 meters .

Step-by-step explanation:

The area of a square is (100/9) cm.

So, find out the length of the square?

Then,

Define Square:

A square is closed, two-dimensional shape with 4 equal sides. A square is a quadrilateral. We can find the shape of a square in a game board or chess board, a wall clock and in a slice of bread, around us.

The area of any rectangle is length times width. The area of a square is a special case where length equals width, so side times side or side squared is used for area.

Define Area of Square:

Area of a square is defined as the number of square units needed to fill a square. In general, the area is defined as the region occupied inside the boundary of a flat object or 2d figure. The measurement is done in square units with the standard unit being square meters (m²).                    

The area of any rectangle is length times width. The area of a square is a special case where length equals width, so side times side or side squared is used for area.    

Area of a Square = Side ×  Side

Therefore, the area of square = side²  square units                          

                                              A = s²

Means,       A= area of square

You have the area so you need to find the side length that when multiplied by itself equals that area. If you don’t know what number squared is (100/9) you can plug and chug or use a calculator with square roots.

Replace with A=(100/9) values,

We can write,

                        A = s²

               (100/9) = s²

Then we can solve it,

               \(\sqrt{100/9}\) = s

                 \(\sqrt{\frac{(10^{2}) }{3^{2} } }\) = s

We can write, \(\sqrt{10^{2} }\) = 10 , and \(\sqrt{3^{2} }\) = 3

Then,  

                    (10/3) = s

Therefore,   s = (10/3)

                    s = 3.33 meters

So, length = 3.33 meters

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Answer:

it's a function

Step-by-step explanation:

none of the x are repeating

Answer:

its function

Step-by-step explanation:

none of the x are repetation

88 kilometers per hour in miles per hour is 54.68 mi/hr

Note that:

1 km = 0.6214 miles

The measurement to convert is 88 kilometers per hour

Multiply 88 kilometers per hour by 0.6214 to convert to miles per hour

88 kilometers per hour = 88 x 0.6214 miles per hour

88 kilometers per hour = 54.6832 miles per hour

88 kilometers per hour =  54.68 mi/hr

Therefore, 88 kilometers per hour in miles per hour is 54.68 mi/hr

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The entrepreneur's revenue is  $2325x, entrepreneur's cost is $33,750 + $1700x and entrepreneur's profit from x sold-out performances is  $625x - $33,750

The entrepreneur's revenue from x sold-out performances is given by the formula:

Revenue = (Price per Performance) x (Number of Performances)

Revenue = $2325 x x

Revenue = $2325x

The entrepreneur's cost from x sold-out performances is given by the formula:

Cost = Overhead + (Production Cost per Performance) x (Number of Performances)

Cost = $33,750 + $1700x

The entrepreneur's profit from x sold-out performances is the revenue minus the cost:

Profit = Revenue - Cost

Profit = $2325x - ($33,750 + $1700x)

Profit = $625x - $33,750

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The required pounds of peanut that can make one pound of peanut butter is given as 5 1/3

If  2/3 pounds of peanut = 1/8 pounds of peanut butter

? quantity of peanut = one pound of peanut butter

This would be better expressed in numbers as

2/3 = 1/8

? = 1

To solve for this , we would have to cross multiply

such that we would have

2/3 = 1/8?

to get the unknown, we have to divide through by 1/8

2/3 ÷ 1/8 = unknown

2/3 x 8/1

= 16/3

= 5 1/3

Hence the required pound that would be needed to make the peanut butter is given as 5 1/3

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Answer:

increases by 30

Step-by-step explanation: its right

Answer:

1 2/7

Step-by-step explanation:

Answer:

None of the above.

Step-by-step explanation:

Just subtract the functions

Answer:

12/20

Step-by-step explanation:

\(\displaystyle \frac{3}{5}=\frac{3}{5}\cdot\frac{4}{4}=\frac{12}{20}\)

The answer is:

In-depth-explanation:

The denominator of 3/5 is 5. To get from 5 to 20, we multiply it by 4.

We need to multiply both the numerator and the denominator by 4, so we do this:

\(\sf{\dfrac{3\times4}{5\times4}}\)

\(\sf{\dfrac{12}{20}}\)

Answer:

Step-by-step explanation:

This is a related rates problem from calculus using implicit differentiation. The main equation is Pythagorean's Theorem. Basically, what we are looking for is \(\frac{dx}{dt}\) when y = 6 and \(\frac{dy}{dt}=-2\).

The equation for Pythagorean's Theorem is

\(x^2+y^2=c^2\) where x and y are the legs and c is the hypotenuse. The length of the hypotenuse is 10, so when we find the derivative of this function with respect to time, and using implicit differentiation, we get:

\(2x\frac{dx}{dt}+2y\frac{dy}{dt}=0\) and divide everything by 2 to simplify:

\(x\frac{dx}{dt}+y\frac{dy}{dt}=0\). Looking at that equation, it looks like we need a value for x, y, \(\frac{dx}{dt}\) and \(\frac{dy}{dt}\).

Since we are looking for \(\frac{dx}{dt}\), that can be our only unknown and everything else has to have a value. So what do we know?

If we construct a right triangle with 10 as the hypotenuse and use 6 for y, we can solve for x (which is the only unknown we have, actually). Using Pythagorean's Theorem to solve for x:

\(x^2+6^2=10^2\) and

\(x^2+36=100\) and

\(x^2=64\) so

x = 8.

NOW we can fill in the derivative and solve for \(\frac{dx}{dt}\).

Remember the derivative is

\(x\frac{dx}{dt}+y\frac{dy}{dt}=0\) so

\(8\frac{dx}{dt}+6(-2)=0\) and

\(8\frac{dx}{dt}-12=0\) and

\(8\frac{dx}{dt}=12\) so

\(\frac{dx}{dt}=\frac{12}{8}=\frac{6}{4}=\frac{3}{2}=1.5 m/sec\)

To make two separate recipes from the same source means the addition of both must be equal to the source, or at least can be taken from the source with or without a remainder.

What this means is that 7 cups of milk should be able to yield two recipes that requires 3 1/2 cups and 3 3/4 cups (with or without a remainder). If the addition of both exceeds 7 cups of milk then it would not be possible.

This can be expressed mathematically as follows;

If we solve the above inequality, we now have;

As we can see from the result, both recipes would require 7 1/4 cups of milk which is not less than 7 cups and its also not equal to 7 cups of milk.

Therefore, we cannot make both recipes

\(\dfrac{7!4!}{5!3!}=6\cdot7\cdot4=168\)

The solution to the system of equations is x = 4 and y = 0. In summary, the correct substitution step for the system is: -4x - 6(x - 4) = -16 .C answer is correct

To solve the given system of equations:

1) y = x - 4

2) -4x - 6y = -16

We can use the substitution method to eliminate one variable and solve for the other.

Step 1: Solve the first equation (1) for y in terms of x.

  y = x - 4

Step 2: Substitute the expression for y from equation (1) into equation (2).

  -4x - 6(x - 4) = -16

Step 3: Simplify and solve for x.

  -4x - 6x + 24 = -16

  -10x + 24 = -16

  -10x = -16 - 24

  -10x = -40

  x = -40 / -10

  x = 4

Step 4: Substitute the value of x back into equation (1) to solve for y.

  y = 4 - 4

  y = 0

Therefore, the solution to the system of equations is x = 4 and y = 0.

In summary, the correct substitution step for the system is:

-4x - 6(x - 4) = -16

By substituting the expression for y from equation (1) into equation (2) and simplifying, we obtain the equation -4x - 6y = -16, which can be further solved to find the values of x and y. C answer is correct

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