The elevation of a point in a valley is 121 feet below sea level.
Write a signed number to represent this elevation.

Answer:

-52

Step-by-step explanation:

fill in the x and y values and multiple it and then combine it

Answer:

p(x)=2(x^3-2x^2-3)

Step-by-step explanation:

2 out of 2x^(3)-4x^(2)-6

p(x)=2(x^3-2x^2-3)

Answer:c hope that helps <3

Step-by-step explanation:

The equation which is representing the given scenario is w = -3p + 1160 so option (C) will be correct.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

Let's say the equation representing is

y = mx + c

Where m is the slope associated with the given points.

Given that,

80 people ⇔ 920 ounce

120 people ⇔ 800 ounce

Slope m = (800 - 920)/(120- 80) = -3

So,

y = -3x + c

Now putting (80,920)

920 = -3(80) + c

c = 1160

So,

y = -3x + 1160

Corresponding to it w = -3p + 1160

Hence "The equation which is representing the given scenario is w = -3p + 1160".

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Answer: x=m-y/n

Step-by-step explanation:

The expression with x as the subject is x = mn - y.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

m = (x + y) / n

x as the subject means we have to solve for x.

Now,

m = (x + y) / n

Multiply both sides by n.

mn = x + y

Subtract y on both sides.

mn - y = x

x = mn - y

Thus,

x = mn - y.

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Answer:

3

Step-by-step explanation:

Mary took 3 more than twice as many flights this year as she did last year. Mary took 9 flights this year. How many flights did she take last year?

y = last year

9 = 2y + 3

subtract 3 from both sides:

9 - 3 = 2y + 3  -3

9  - 3 = 2y

6 = 2y

divide both sides by 2:

6/2 = 2y/2

y = 3

Work Shown:

IQR = Q3 - Q1

IQR = 70 - 48

IQR = 22

Note: Q1 and Q3 are the left and right edges of the box. The IQR is the width of the box.

Answer:

I hope this helps! I you have any more questions, then contact me at 3856026122

Step-by-step explanation:

Since we have given that Sherman goes golfing every 6th day ,

And, Brad goes golfing every 7th day,

According to question, if Sherman and Brad both went golfing today,

We need to find the "Day at which they will go golfing together again" .

For this we need to find the  first common multiple of 6 and 7 which is given by doing 6X7=42

Hence,

At 42nd day, Sherman and Brad will go golfing together again.

Answer:  1/9 of the bag

Step-by-step explanation:

The amount of coal left is 1 /3 of a bag.

They plan to cook 3 meals with this quantity.

The fraction they will use for each meal can be found by the following formula:

= Amount of Coal left / Number of meals to be cooked

= 1 / 3 ÷ 3

= 1 / 3 * 1/3

= 1/9 of the bag

Answer:

Create your own real-world example of a relation that is a function.

Domain: The set of: 0

Range: The set of: 16

The domain of a function is the set of all possible inputs for the function while the range of a function is the set of all possible outputs for the function.

A function is an expression that shows the relationship between two or more variables and numbers.

The domain of a function is the set of all possible inputs for the function while the range of a function is the set of all possible outputs for the function.

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Answer:

Step-by-step explanation:

5x(4x + 7)

The value of the constant k when the value of x and y is 7 and 3 respectively in the equation xy=k is 21.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The value of the constant k when the value of x and y is 7 and 3 respectively in the equation xy=k can be written as,

\(xy=k\\\\(7) \times (3 ) =k\\\\k= 21\)

Hence, the value of the constant k when the value of x and y is 7 and 3 respectively in the equation xy=k is 21.

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Answer:

D

Step-by-step explanation:

K=21

Answer:

AB=11, DC=11, AD=25, BC=25

Step-by-step explanation:

Opposite sides of parallelograms are congruent.

x+x+2x+3+2x+3=72

6x+6=72

6x=66

x=11

2(11)+3 = 25

Answer:

205%

Step-by-step explanation:

Percent means out of 100, so we want to get the denominator as 100

41/20 * 5/5

205/100

The percent is 205

205%

Answer:

It should cost you 5$

Step-by-step explanation:

10$ = 4 cans of soda

If we take half of 4 which equals 2

You should also take half of of 10$ which is 5$

So, 2 Cans= 5$

Answer:

A: 5

Step-by-step explanation:

So if a 4 pack is worth $10, then if you divide 4 in half to get 2, you also have to divide the $10 by 2. Then you have your answer! Good luck in your math career!

Answer:

 70 * 0.895 = 62.65

OR

1   0.895

 70 x

-Cross-multiply

\(\frac{70 * 0.895}{1}\) = 62.65

Answer:

graph{y=4x+1 [-10, 10, -5, 5]}

Step-by-step explanation:

Since the equation is linear/straight in the form

y = mx + c, you can determine the slope/gradient (m) and y-intercept (c).

m = 4

c = 1

To graph this equation, you'll need to find 2 points on the line and join them together. We know one of the points is (0, 1) as the y-intercept is 1.

You can find another point by substituting an arbitrary number into

x or y in the equation. In this example, I'll substitute 1 into x to find the y coordinate where the x coordinate is 1.

y = 4 (1) + 1

y = 4 + 1

y = 5

So, the second point would be (1, 5).

If you join the points (0, 1) and (1, 5) on a graph, this would be the line of the equation.

hope this helps!

The coordinates for the point for this equation  \(y - 4 = -\frac{1}{3} (x-7),\) is at (7, 4)

The standard form of the equation in point-slope form is expressed as:

\(y-y_0=m(x-x_0)\\\)

m is the slope of the line

\((x_0, y_0)\) is any point on the line

Given the equation \(y - 4 = -\frac{1}{3} (x-7),\)

Compare the original equation with the given equation to get the coordinate for the point \((x_0, y_0)\).

On comparison:

\(-x_0=-7\\x_0=7\\-y_0=-4\\y_0=4\)

Hence the coordinates for the point is at (7, 4)

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Answer:

daughter is 13 and father is 53

Step-by-step explanation:

father-> x+40

daughter->x

x+40-3=5(x-3)

x+37=5x-15

52=4x

x=13

x+40=13+40=53

the daughter is 13 and the father is 53 years old.

Answer: I believe that the answer is -3x=4y

Step-by-step explanation: I hope this helps and I am sorry if I am wrong.

So the amount of gain that can be deferred under the installment sale method is $424,879.16.

Percent is a way of expressing a number as a fraction of 100. The word "percent" means "per hundred" in Latin. When a number is expressed as a percentage, it is usually accompanied by the "%" symbol. Percentages are commonly used in many areas of everyday life, such as finance, taxes, and statistics. They are often used to express changes or differences, such as percentage increases or decreases in prices or quantities, or the percentage of people who hold a certain opinion or belong to a certain group.

Here,

To calculate the gain that can be deferred under the installment sale method, we need to first calculate the total gain on the sale. The total gain is equal to the selling price minus the adjusted basis of the property, which is the cost minus the accumulated depreciation.

Selling price = $99,800 cash + $998,000 note = $1,097,800

Adjusted basis = $798,400 - $479,040 = $319,360

Total gain = $1,097,800 - $319,360 = $778,440

To calculate the gain that can be deferred, we need to determine the gross profit percentage. The gross profit percentage is equal to the total gain divided by the selling price:

Gross profit percentage = Total gain / Selling price = $778,440 / $1,097,800 ≈ 0.7097 or 70.97%

Now we can calculate the amount of gain that can be deferred using the formula:

Gain deferred = Gross profit percentage × Payments received

Since the note is due in two years, Skylar will receive half of the payments in 2022 and the other half in 2023. Therefore, the payments received in 2022 are:

$99,800 + ($998,000 / 2) = $598,800

Substituting into the formula, we get:

Gain deferred = 0.7097 × $598,800 = $424,879.16

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To find the value of x, we need to use the fact that when two lines intersect, the sum of the adjacent angles formed is equal to 180 degrees.

In this case, the angle formed between lines s and t is 23 degrees, and the angle formed between lines r and s is 106 degrees. Let's denote the angle between lines t and r as x.

Using the information given, we can set up the equation:

(106 degrees) + (23 degrees) + x = 180 degrees

Combine the known values:

129 degrees + x = 180 degrees

To isolate x, subtract 129 degrees from both sides of the equation:

x = 180 degrees - 129 degrees

x = 51 degrees

Therefore, the value of x is 51 degrees.

In conclusion, the value of x, the adjacent angles formed between intersecting lines t and r, is 51 degrees.

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Answer:

lesser \(x=-8-\sqrt{2}=-9.41\)

greater \(x=-8+\sqrt{2}=-6.59\)

Step-by-step explanation:

\((x+8)^2-2=0\\(x+8)^2=2\\x+8=\pm\sqrt{2}\\x=-8\pm\sqrt{2}\\\)

This means that

lesser \(x=-8-\sqrt{2}=-9.41\)

greater \(x=-8+\sqrt{2}=-6.59\)

Answer:

D. All whole numbers less than or equal to 31

Step-by-step explanation:

The x value in this situation is the number of years after 1970 and until 2001.

This means that the domain will be the number of years after 1970 and until 2001.

Since the situation calculates the value of land in years after 1970, the domain will start at 0. Since it is until 2001, which is 31 years after 1970, the domain will go up to 31.

So, the domain will include all whole numbers less than or equal to 31.

The correct answer is D. All whole numbers less than or equal to 31

The domain of the function is a real number from 1971 to 2001. Then the correct option is B.

Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.

The value of a piece of land in a town is increasing every year.

Its value, in dollars, in t years after 1970 and until 2001 can be modeled by the function

\(\rm y = 31, 000(1.001) ^ t\)

Then the domain of the function will be

All real numbers are greater than or equal to 1971 and less than or equal to 2001.

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The 104 adults and 105 youth admissions were purchased if the admission fee is $8.00 for an adult and $4.50 for a youth.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

At the local fair, the admission fee is $8.00 for an adult and $4.50 for a youth.

Let's suppose the number of admission of adults is x and for youth is y, then,

x + y = 209 ...(1)

8x + 4.50y = 1304.5 ...(2)

After solving the above two linear equation, we get:

x = 104

y = 105

Thus, the 104 adults and 105 youth admissions were purchased if the admission fee is $8.00 for an adult and $4.50 for a youth.

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The first function, y =\(e^{(-x/7)\), is an explicit solution of the differential equation 7y' + y = 0. The second function, y =\(-e^{(-45t)\), is not an explicit solution of the differential equation 3dy/dt + 45y = 27.

For the first differential equation, 7y' + y = 0, we can verify if y = \(e^{(-x/7)\) is a solution by substituting it into the equation. Taking the derivative of y with respect to x, we have y' = \((-1/7)e^{(-x/7)\). Plugging these values into the differential equation, we get \(7((-1/7)e^{(-x/7)}) + e^{(-x/7)} = -e^{(-x/7)} + e^{(-x/7)} = 0\). Since the left-hand side of the equation equals zero, we can conclude that y = \(e^{(-x/7)\) is indeed an explicit solution of the differential equation.

Moving on to the second differential equation, 3dy/dt + 45y = 27, we need to verify if y = \(-e^{(-45t)\) is a solution. Differentiating y with respect to t, we have dy/dt = \(-45e^{(-45t)\). Substituting these values into the differential equation, we get \(3(-45e^{(-45t)}) + 45(-e^{(-45t)}) = -135e^{(-45t)} - 45e^{(-45t)} = -180e^{(-45t)}\). This does not equal 27, so y = \(-e^{(-45t)\) is not an explicit solution of the differential equation.

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The Perimeter of the hexagon that Pete made by putting the trapezoids together is 22 inches.

To find the perimeter of the hexagon formed by putting the trapezoids together, we need to add up the lengths of all the sides.

Let's analyze the given trapezoids:

Trapezoid 1: It has two parallel sides measuring 3 inches and 5 inches, and two non-parallel sides measuring 3 inches each.

Trapezoid 2: It also has two parallel sides measuring 3 inches and 5 inches, and two non-parallel sides measuring 3 inches each.

When we put these trapezoids together to form a hexagon, we can observe that the parallel sides of the trapezoids become consecutive sides of the hexagon.

Since the hexagon has six sides, we need to consider the lengths of all six sides. By examining the trapezoids, we can determine that the lengths of the sides are as follows:

Side 1: 5 inches (one of the sides of the trapezoid)

Side 2: 3 inches (one of the sides of the trapezoid)

Side 3: 3 inches (one of the sides of the trapezoid)

Side 4: 3 inches (one of the sides of the trapezoid)

Side 5: 3 inches (one of the sides of the trapezoid)

Side 6: 5 inches (the other side of the trapezoid)

To find the perimeter, we add up the lengths of all six sides:

Perimeter = Side 1 + Side 2 + Side 3 + Side 4 + Side 5 + Side 6

        = 5 + 3 + 3 + 3 + 3 + 5

        = 22 inches

Therefore, the perimeter of the hexagon that Pete made by putting the trapezoids together is 22 inches.

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Thus,  the probability that a loaf of bread weighs more than 400 grams is 20% using the  conditional probability.

Let A be the event that the weight of a loaf of bread exceeds 400 grams, and let B be the event that the weight of a loaf of bread exceeds 385 grams. We want to find P(A | B), the probability that a loaf of bread weighs more than 400 grams given that it weighs more than 385 grams.

We can use the formula for conditional probability:

P(A | B) = P(A and B) / P(B)

We know that the weight of the loaves is uniformly distributed between 380 and 410 grams, so the probability of a loaf weighing between 385 and 410 grams is:

P(B) = (410 - 385) / (410 - 380) = 0.5

Now we need to find P(A and B), the probability that a loaf weighs more than 400 grams and more than 385 grams.

Since the weight distribution is uniform, the probability of a loaf weighing between 385 and 400 grams is:

P(385 < X < 400) = (400 - 385) / (410 - 380) = 0.25

Therefore, the probability of a loaf weighing more than 400 grams and more than 385 grams is:

P(A and B) = P(400 < X < 410) = (410 - 400) / (410 - 380) = 0.1

Now we can plug these values into the formula for conditional probability:

P(A | B) = P(A and B) / P(B) = 0.1 / 0.5 = 0.2

So the probability that a loaf of bread weighs more than 400 grams given that it weighs more than 385 grams is 0.2 or 20%.

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