quadrilateral vwxy is a parallelogram. find the measure of ∠v. question 4 options: a) 52° b) 120° c) 38° d) 60°

Using the properties of logarithms the given function log x^12 / y^4 can be rewritten as 12 log x - 4 log y. Option B is correct.

The given function is a logarithmic function.

Some properties of logarithms are:

We are given the following;

log x^12 / y^4

We need to rewrite the given function using the properties of logarithms.

Let us solve the given expression:

log x^12 / y^4 = log x^12  - log y^4 = 12 log x - 4 log y

So, option B is correct.

Thus, using the properties of logarithms the given function log x^12 / y^4 can be rewritten as 12 log x - 4 log y. Option B is correct.

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(a) The differential equation representing the decay of the radioactive substance can be written as du/dt = -k * u

(b) To solve this equation, we can separate variables and integrate both sides. ∫du/u = ∫-k dt. Integrating gives ln|u| = -kt + C,

(c) The integral curves for this equation are exponential decay curves. They start with a certain initial amount Xo and decrease exponentially over time.

(d) we have u(2 billion) = (1/3)Xo. Substituting into the solution, we get (1/3)Xo = Ae^(-2 billion * k). Dividing both sides by Xo, we have (1/3) = Ae^(-2 billion * k)/Xo.

(e) After 1.5 billion years, there are 2 grams of substance present.

(a) The differential equation representing the decay of the radioactive substance can be written as du/dt = -k * u, where u is the amount of substance present at time t, and k is a constant representing the decay rate.

(b) To solve this equation, we can separate variables and integrate both sides. ∫du/u = ∫-k dt. Integrating gives ln|u| = -kt + C, where C is the constant of integration. Applying exponential functions, we get u = Ae^(-kt), where A = e^C.

(c) The integral curves for this equation are exponential decay curves. They start with a certain initial amount Xo and decrease exponentially over time.

(d) The half-life of a substance is the time it takes for half of the initial amount to decay. In this case, after 2 billion years, the amount of substance remaining is a third of the initial amount. Mathematically, we have u(2 billion) = (1/3)Xo. Substituting into the solution, we get (1/3)Xo = Ae^(-2 billion * k). Dividing both sides by Xo, we have (1/3) = Ae^(-2 billion * k)/Xo. This equation can be used to find the value of the constant k.

(e) After 1.5 billion years, there are 2 grams of substance present. We can use the solution u = Ae^(-kt) to find the initial amount Xo. Substituting the given values, we have 2 = Ae^(-1.5 billion * k). This equation can be solved to find the value of A, which represents the initial amount of the substance.


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The equation for finding the length between two points is:

where point 1 has coordinates (x1, y1) and point 2 has coordinates (x2, y2).

We assign A to be point 1 and B be point 2

Therefore,

Answer:

2,  PEMDAS means parentheses, exponents, multiplication, division, addition, and subtraction.

Step-by-step explanation:

The equilibrium point for the supply and demand equations p² + 4q = 253 and 183p² + 6q = 0 is (q, p) = (3, 10).

To find the equilibrium point, we need to solve the system of equations formed by the supply and demand equations. By substituting the value of q = 3 into the first equation, we get p² + 4(3) = 253, which simplifies to p² + 12 = 253.

Solving this equation gives us p = 10. Substituting the values of q = 3 and p = 10 into the second equation, we get 183(10)² + 6(3) = 0, which simplifies to 18300 + 18 = 0.

Since this equation holds true, we have found the equilibrium point to be (q, p) = (3, 10), where the equilibrium quantity is q = 3 and the equilibrium price is p = 10.

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Bryant Industries uses forecasting to estimate the number of orders that will be placed by their customers. The table below gives the sales figures for the last four months.Month2345Sales92491942004There are different forecasting techniques used by companies like Bryant Industries to predict future sales.

One of the most widely used methods is the time-series method. This method is particularly useful when the demand for a product or service changes over time and when there are no external factors that affect the sales. In this case, we can use a time-series method called the moving average to estimate future sales. The moving average is a time-series method that uses the average of past sales data to estimate future sales. It is particularly useful when there are no external factors that affect the sales. In this case, we can use a 3-month moving average to estimate future sales. The 3-month moving average is calculated as follows: (924 + 919 + 420) / 3 = 754.33. This means that we can expect sales of around 754 units next month. The moving average method is easy to use and is a good way to get a quick estimate of future sales. However, it has some limitations. For example, it does not take into account external factors that may affect sales, such as changes in the economy or in consumer behavior.

In conclusion, Bryant Industries can use the moving average method to estimate future sales. However, they should also consider other factors that may affect sales, such as changes in the economy or in consumer behavior. By doing so, they can make more accurate forecasts and improve their overall performance.

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Answer:

96/95

Step-by-step explanation:

8/5 /  ( 3/4 + 5/6 )

8/5 / 19/12

= 96/95

Answer:

D) dashed line, shade above

Step-by-step explanation:

The boundary line would be dashed for the reason because it is a sign without the line on the bottom, so if the sign looked like this (≥), then it would be solid. You are going to shade above because it is a greater than sign, so above! I hope this helps!

Answer: D.

Step-by-step explanation:

You can start out with the form AX = B and solve for matrix X that would yield the answer

Then X = (A^-1)(B)

A = [1    -1]

      [1     1]

A^-1 = (1/(1 - (1)(-1)))*[1    1]

                             [-1   1]

which can be written as (1/2) * [1    1]

                                                  [-1   1]

B = [26]

     [6]

(A^-1)(B) = (1/2)*[1    1] [6]

                        [-1   1] [26]

= (1/2)*[32]

          [20]

= [16]

  [10]

Answer:

That's the answer attached, whatever answer matches up with it is correct.

Step-by-step explanation:

The estimated quotient of the given dividend 2 1 / 2 divided by the divisor 1 7/9 is equal to 1.41 ( round off up to the two decimals ).

Divisor = 1 7/9

Convert the divisor (mixed fraction ) into improper fraction,

1 7 /9

= [( 9× 1 ) + 7]/ 9

= 16/9

Dividend = 2 1 / 2

Convert the dividend (mixed fraction ) into improper fraction,

2 1 / 2

=[ ( 2 ×2 ) + 1] /2

= 5 /2

Divide the 5 / 2 by 16 /9 to get the estimated quotient ,

( 5 / 2 ) ÷ ( 16 / 9)

= ( 5 / 2 ) × ( 9 / 16 )

= ( 5 × 9 ) / ( 2 × 16 )

= 45 / 32

= 1.40625

= 1.41 ( round off up to the two decimals )

Therefore, the estimated quotient of the division is equal to 1.41( round off up to the two decimals ).

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The value of X is not clearly defined in the given expression. It seems to be a combination of variables and elements within braces. Without further information, it is difficult to determine the exact meaning or value of X.

To explain the expression "AY-YA," it seems to involve a set operation with two sets A and Y. However, the specific set elements of A and Y are not provided, making it impossible to perform the operation. In order to explain the labels on X, it is necessary to have more context or information about the nature of the labels and their relationship to the elements in X. Finally, the term "cy" is not well-defined and does not seem to relate to the given expression. Without additional information, it is not possible to provide a meaningful explanation for the term "cy" or its connection to topology.

In summary, the given expression lacks clarity and context, making it difficult to provide a specific answer or explanation. Further information or clarification is needed to provide a more meaningful response.

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The value of X is not clearly defined in the given expression. It seems to be a combination of variables and elements within braces. Without further information, it is difficult to determine the exact meaning or value of X.

To explain the expression "AY-YA," it seems to involve a set operation with two sets A and Y. However, the specific set elements of A and Y are not provided, making it impossible to perform the operation. In order to explain the labels on X, it is necessary to have more context or information about the nature of the labels and their relationship to the elements in X. Finally, the term "cy" is not well-defined and does not seem to relate to the given expression. Without additional information, it is not possible to provide a meaningful explanation for the term "cy" or its connection to topology.

In summary, the given expression lacks clarity and context, making it difficult to provide a specific answer or explanation. Further information or clarification is needed to provide a more meaningful response.

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Answer:

13 1/3

____

         \(1\:2/3 = 5/3\\1/8 = 1/8\\\\5/3 \div 1/8\\=\frac{5\cdot8}{3\cdot1}\\= \frac{40}{3}\\= 13\:1/3\)

When working with mixed numbers that are being divided, you know where to start. Start by converting mixed numbers to fractions, then multiply the fractions together to divide them. Simplify your improper fraction by counting how many times it surpasses the denominator.

Answer:

rtshsrst6hteshyrjhryjy

Step-by-step explanation:

fgjyryrjutkj

Answer:

a plane figure with three straight sides and three angles.

Step-by-step explanation:

The required value of x, y and z are 18, 9√6/2, 9√6/2.

Right-angle triangles are formed when the angle formed by two of their edges is exactly 90 degrees. Obtuse angle triangle: An obtuse angle triangle is one in which the angle formed by two sides is larger than 90 degrees.

We have twp triangles

In upper triangle; by Pythagoras theorem

tan(30°) = 9/Base

1/\(\sqrt{3}\) = 9/Base

Base = 9√3

And

sin(30°) = 9/z

1/2 = 9/z

z = 18 units

in lower tirangle

sin(45°) = y/9√3

1/√2 =  y/9√3

y = 9√6/2

And

Cos(45°) = x/9√3

1/√2 = x/9√3

x =  9√6/2

Thus, required value of x, y and z are 18, 9√6/2, 9√6/2.

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Answer:

$461

Step-by-step explanation:

George's Salary = $350. Commission= 6/100 ×$1850 =$111. GrossPay = George's Salary weekly + George's weekly commission. Therefore, Gross Pay = $350 + $111 = $461.

His gross pay would be,

⇒ $461

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

We have to given that;

George works for a garden center where he is paid a salary of $350 per week plus a commission of 6% of the amount of merchandise that he sells.

Here,  Last week his sales totaled $1,850.

Hence, Commission of the amount of merchandise that he sells is,

⇒ 6% of 1,850

⇒ 6/100 × 1,850

⇒ $111

Thus, His gross pay would be,

⇒ $350 + $111

⇒ $461

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The required answer is P(1.7) = $3.72 is that it will cost $3.72 to park in the garage for 1.7 hours.

Explanation:-

(a) To write a linear function to model the cost for parking Pt for t hours, we will use the equation Pt = mt + b. The flat fee of $1.00 is the constant b, and the rate of increase, $1.60/hr, is the slope m. Thus, the linear function is Pt = 1.60t + 1 for t > 0.

(b) To evaluate P(1.7), plug in t = 1.7 into the linear function:
P(1.7) = 1.60(1.7) + 1 = 2.72 + 1 = $3.72

The charge for parking consists of a flat fee of $1.00 so the constant b is 1. The rate of increase, $1.60/hr, is the slope m. Blank 1 Options constant b slope m Blank 2 Options constant b slope m Thus, the linear function is P t = 1.60t + 1 for t > 0. (b) To evaluate P 1.7, we substitute t = 1.7 into the linear function: P 1.7 = 1.60(1.7) + 1 = 3.12. This means that if someone parks for 1.7 hours, they will have to pay $3.12 for parking

the meaning of P(1.7) = $3.72 is that it will cost $3.72 to park in the garage for 1.7 hours.

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The time that Erin's body would metabolize 60 mg of caffeine is 8: 52 : 50 am.

The first step is to determine the time it would take to metabolize 1 mg of caffeine: 5 / (1/2 x 320) = 5/160

The second step is to multiply 5/160 by 60.

5/160 x 60 = 300 / 160 = 1 140/160 = 1 7/8 = 1 hour 52 minutes 50 seconds. = 8: 52 minutes : 50 seconds

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Okay, here we have this:

Considering the provided function, we are going to calculate the requested roots, so we obtain the following:

Finally we obtain that the roots of the function are x=8 and x=4.

Answer: Distance = √170

Step-by-step explanation:

Concept:

Here, we need to know the concept of the distance formula.    

The distance formula is the formula, which is used to find the distance between any two points.

If you are still confused, please refer to the attachment below for a clear version of the formula.

Solve:

Find the distance between M and P, where:

\(Distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

\(Distance = \sqrt{(-3+10)^2+(-12+1)^2}\)

\(Distance = \sqrt{(7)^2+(-11)^2}\)

\(Distance = \sqrt{49+121}\)

\(Distance = \sqrt{170}\)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Step-by-step explanation:

(x₁ , y₁) = (-1 , -10)   & (x₂,y₂)=(-12,-3)

Distance = \(\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}\)

               \(= \sqrt{(-12-[-1])^{2}+(-3-[-10])^{2}}\\\\= \sqrt{(-12+1)^{2}+(-3+10)^{2}}\\\\=\sqrt{(-11)^{2}+(7)^{2}}\\\\= \sqrt{121+49}\\\\=\sqrt{170}\)

               = 13.03

               = 13

Answer:

It would be at the beginning of the trials

Step-by-step explanation:

ΔXYZ will also be an equilateral triangle.

What is equilateral triangle?

An equilateral triangle in geometry is a triangle with equal-length sides on all three sides. In the well-known Euclidean space, an equilateral triangle also is equiangular, meaning that each of its three internal angles is 60 degrees and congruent with the others. It's also referred to it as a regular triangle because it is a regular polygon.

As X,Y,Z are the midpoints of sides of equilateral triangle so when we will join the X,Y,Z we will find that distances XY=YZ=XZ are three are equal because this is proved by similarity of triangles which in itself is a detailed and vast topic

Hence XYZ will also be an equilateral triangle

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Answer:

192

Step-by-step explanation:

16 × 12 = xi hope get 5 Star

Answer

x= 192

Step-by-step explanation:

1. Multiply all terms by the same value to eliminate fraction denominators.

2. Cancel multiplied terms that are in the denominator

3. Multiply the numbers

4. Move the variable to the left

80 student tickets and 89 adult tickets were bought. Let x be the number of student tickets sold and y be the number of adult tickets sold. The sum of the two types of tickets is equal to the total number of tickets sold.

Let x be the number of student tickets sold and y be the number of adult tickets sold. The sum of the two types of tickets is equal to the total number of tickets sold. Therefore, x + y = 169  ...............(1)

The income from the sale of student tickets at $6 each is equal to 6x, and the income from the sale of adult tickets at $8 each is equal to 8y. Thus, the total income from the sale of tickets is:

6x + 8y = 1192 ................(2)

We have two linear equations: Equation (1) : x + y = 169

Equation (2) : 6x + 8y = 1192

We need to solve for x and y.

Step 1: We can multiply both sides of Equation (1) by 6 to eliminate x from Equation (2).

6x + 6y = 1014        (1a)

6x + 8y = 1192         (2)

Step 2: Subtract Equation (1a) from Equation (2).

2y = 178y = 89

Step 3: Substitute y = 89 into Equation (1) to find x.

x + 89 = 169x = 80

Therefore, 80 student tickets and 89 adult tickets were bought.

Answer: In this problem, the number of student tickets sold and the number of adult tickets sold have been found. Let x be the number of student tickets sold and y be the number of adult tickets sold. The sum of the two types of tickets is equal to the total number of tickets sold. Therefore, x + y = 169  ...............(1)

The income from the sale of student tickets at $6 each is equal to 6x, and the income from the sale of adult tickets at $8 each is equal to 8y. Thus, the total income from the sale of tickets is: 6x + 8y = 1192 ................(2)

We have two linear equations:

Equation (1) : x + y = 169

Equation (2) : 6x + 8y = 1192

We need to solve for x and y. We can multiply both sides of Equation (1) by 6 to eliminate x from Equation (2).

6x + 6y = 1014          (1a)

6x + 8y = 1192         (2)

We subtract Equation (1a) from Equation (2).

2y = 178y = 89

Therefore, the number of adult tickets sold was 89. Now, we substitute y = 89 into Equation (1) to find the number of student tickets sold. x + 89 = 169; hence, x = 80.

Therefore, 80 student tickets and 89 adult tickets were bought.

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The solutions to the equation are x= -9 and x = 6

From the information given, we have that;

|x2 + 9x| = 6x + 54

To solve the quadratic equation, collect the like terms, we have;

x² + 9x - 6x = 54

subtract the terms

x² + 3x = 54

Put in standard form

x² + 3x - 54 = 0

Find the pair factors of -54 that add up to give 3 and substitute the values

x² + 9x - 6x - 54 = 0

group in pairs

(x² + 9x) - (6x - 54) = 0

factorize the expressions

x(x + 9) - 6(x + 9) = 0

Then, we have;

x- 6 = 0

x = 6

x + 9 = 0

x = -9

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Answer:

0.18

Step-by-step explanation:

Answer:

.18

Step-by-step explanation:

The experiment occurred 45 times, lemon was selected 8 times.

Probability the next chew will be lemon:

8/45=0.17777... = .18

Answer:

x=1/2, y=-7

Step-by-step explanation:

4x-3y=23 (1)

2x-5y=36

4x-3y=23

(-2)*(2x-5y=36)

4x-3y=23

-4x+10y=-72 +

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

7y=-49

y=-49/7

y=-7

(1)--> 4x-3*(-7)=23

4x+21=23

4x=23-21

4x=2

x=2/4

x=1/2

Answer:

x = 1/2, y = -1/7

Step-by-step explanation:

Answer:

all you have to do is multiply that and get the answer

The equation that represents this scenario. y = 0.6x + 12.5 and the courier service to travel 18 miles.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can ais lso be used to indicate the logical syntax's order of operations and other features.

Create an equation where y is the cost to deliver a package, and x is the number of miles traveled.

Since the service charges $0.60 per mile, the cost can be represented by $0.60x.

There is a flat rate of $12.50, so this will be added to 0.60x. Then, set this equal to y. Using this, create an equation:

y = 0.6x + 12.5

A number of miles the courier service had to travel by plugging in 23.30 as y and solving for x:

y = 0.6x + 12.5

23.3 = 0.6x + 12.5

10.8 = 0.6x

18 = x

Therefore, the equation that represents this scenario. is y = 0.6x + 12.5 and the courier service to travel 18 miles.

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Answer:

The equation is linear

Step-by-step explanation:

Make the equation in y=mx+b form

which is y=-x+1 and because the x is not the first power it must be linear

Graph: