The pitcher has a capacity of 6 2. cups. 1 pint 1 pint © Marshall Cavendish International (Singapore) Private Limited 1 pint ipint 1 pint 3. The vase can hold S S pints of water. 4. The vase has a capacity of 5 pints.

Answer:

E/A card was sold for $.75, which means the 34 cards were sold for a total of $25.50

Answer:

d

Step-by-step explanation:

just trust me :p

Answer:it’s D

Step-by-step explanation:

Just trust mate

y = 1/3x - 21 is the equation of the line in slope-intercept form.

What is a slope?

Slope is a measure of the steepness or incline of a line. It describes how much the dependent variable (usually y) changes for a given change in the independent variable (usually x).

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

We are given that the slope is 1/3 and that the line passes through the point (3, -20). We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

where (x1, y1) is the point through which the line passes, and m is the slope. Plugging in the values we have:

y - (-20) = 1/3(x - 3)

Simplifying this equation:

y + 20 = 1/3x - 1

Subtracting 20 from both sides:

y = 1/3x - 21

This is the equation of the line in slope-intercept form.

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By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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The numerical value of the expression 3a - 5b when a = -3 and b = -2 is 1.

Given the expression in the question;

3a - 5b

To determine the value of the expression, replace a with -3 and b with -2 for all occurrence of a and b in the expression.

3a - 5b

Plug in a = -3

3( -3 ) - 5b

Plug in b = -2

3( -3 ) - 5( -2 )

-9 -+ 10

10 - 9

Subtract 9 from 10

1

Therefore, the value of the expression is 1.

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Answer:

I’m thinking it’s C, 119 degrees

Step-by-step explanation:

180 - 61 =119

Using the arithmetic operation of division, the value for 3.12 / 6.5 is obtained as 0.48.

What is arithmetic operation?

A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.

To divide 3.12 by 6.5, we need to use the following steps -

We can align the decimal point by multiplying both the numerator and denominator by a power of 10 to get rid of the decimal in the numerator.

So, we can multiply both 3.12 and 6.5 by 100 to get -

312 / 650

We can simplify the fraction by dividing both the numerator and denominator by their greatest common factor (GCF).

In this case, the GCF is 26.

So, we can divide both 312 and 650 by 26 to get -

12 / 25

Use the arithmetic operation of division -

12 / 25 = 0.48

Therefore, 3.12 divided by 6.5 is equal to 12/25 or 0.48 when rounded to two decimal places.

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Answer:

0.799

Step-by-step explanation:

divide the mass value by 1000

799/1000

Answer:

its B its easy i did this

9514 1404 393

Answer:

  $1,010

Step-by-step explanation:

We can write the exponential decay function in the form ...

  y = a(b^(t/T))

where 'a' is the initial value, and 'b' is the "growth" factor in time period T.

Here, the initial value is 16200, for t=0 corresponding to the year 2010.

The "growth" in value is by the factor 9300/16200 in the 2-year period between 2010 and 2012. This means we can write the exponential function as ...

  y = 16200((93/162)^(t/2))

In the year 2020, the value of t is 2020 -2010 = 10, so the car value will be ...

  y = 16200(93/162)^(10/2) = 16200(93/162)^5 ≈ 1010

The predicted value in 2020 is $1,010.

_____

If you like, you can "simplify" the base of the exponential factor to ...

  (93/162)^(1/2) ≈ 0.75768

Then the value function becomes ...

  y = 16,200(0.75768^t)

Answer:

3x + 6

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define Expression

2(-x + 3) + 5x

Step 2: Simplify

On solving the question we have that As a result, the total amount paid equation by the lease's end is $63,475.

A math equation is a mechanism for connecting two statements and indicating equivalence with the equals sign (=). To explain the connection between the two sentences put on each side of a letter, a statistical method can be employed. The software and the logo are usually interchangeable. 2x - 4 equals 2, for example. An equation is a logical expression that asserts the equality of some mathematical expressions in algebra. In the equation 3x + 5 = 14, for example, the equal sign separates the numbers 3x + 5 and 14.

To compute the total cash paid at the end of the lease, we must take into account all of the lease's charges. Here's how it works:

$3,900 as a down payment

Monthly payments: $775 divided by 24 months equals $18,600.

The security deposit is $975.

The acquisition charge is $500.

After-lease automobile purchase price: $39,500

To compute the total amount paid, add all of these costs together:

$3,900 + $18,600 + $975 + $500 + $39,500 = $63,475

As a result, the total amount paid by the lease's end is $63,475.

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Answer:

20

Step-by-step explanation:

18000/30=600

600/30=20

The four math sentences that have an answer of 2.4 are 1.2 + 1.2, 1.2 * 2, 3.6 - 1.2 and  4.8/2

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

An answer of 2.4

Using a different operation in each sentence., we have the following math sentences

1.2 + 1.2

1.2 * 2

3.6 - 1.2

4.8/2

The solution to each of the above sentences is 2.4

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Answer: x=28

Step-by-step explanation:

4x-7=3x+21

4x-3x-7=3x-3x+21

x-7=21

x=28

Answer:

90% Confidence Interval = (5.532, 7.094)

Step-by-step explanation:

With a sample size of 14 cars, the average wait time is 6.313 minutes with a standard deviation of 1.6509 minutes. Construct a 90% confidence interval for the true average wait time for a car at the intersection between 4:00 PM and 5:00 PM. 1) (4.542, 8.084).2) (5.536, 7.09). 3) (-5.532, 7.094).4) (5.532, 7.094).5) (5.872, 6.754).

We are given the sample size = 14 cars

This sample size is small so instead of using z score , we would use the t score critical value

First we need to calculate our degree of freedom

Degrees of freedom = n - 1

= 14 - 1 = 13

The t score for 90% confidence interval with a degree of freedom of 13 =

= 1.771

Hence, Confidence Interval =

Mean ± t score × standard deviation/√n

= 6.313 ± 1.771 × 1.6509/√14

= 6.313 ± 1.771 × 0.4412215843

= 6.313 ± 0.7814034257

Confidence Interval

= 6.313 - 0.7814034257

= 5.5315965743

≈ 5.532

= 6.313 + 0.7814034257

= 7.0944034257

≈ 7.094

90% Confidence Interval = (5.532, 7.094)

The final velocity of the parameters is 13.5m/s

In this question, the given parameters are represented as

Formula: v = u + at

Initial velocity = 3m/s

Acceleration = 1.5m/s²

Time = 7 seconds

When these parameters are represented using their required notation, we have the following representations

u = 3m/s

a = 1.5m/s²

t = 7 s

Next, we substitute the above parameters in the above equation

So, we have the following representation

v = 3 + 1.5 * 7

Evaluate the products

This gives

v = 3 + 10.5

Evaluate the sum

So, we have the following representation

v = 13.5

The notation v represents the final velocity

Hence, the final velocity is 13.5m/s

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Answer:

The table represents a nonlinear function because the rate is not constant.

Step-by-step explanation:

As shown in the picture below, the x side of the table has the same rate of change of +1. However, due to the fact that the y side does not have the same rate of change, +6 and +3, the table represents a non linear function. If the rate on the y side of the table were all the same, then this would be a Linear function.

The velocity or speed is the ratio of distance and time thus the difference between Anna’s walking time and running time for 16km is 32/(3x).

Velocity is the rate of distance covered per time. Velocity could be average or instantaneous.

Average velocity = total distance / total time taken

Units of velocity are given by ⇒ meter/second

Let's say Anna's walking speed is x.

Given that, Anna’s average running speed is 3 times faster than her running speed is 3x

Since,time = distance/speed

The walking time = 16/x

Running time = 16/3x

Difference = 16/x - 16/3x

⇒ (1-1/3)16/x

⇒ (2/3)(16/x)

⇒ 32/(3x).

Hence "The velocity or speed is the ratio of distance and time thus the difference between Anna’s walking time and running time for 16km is 32/(3x)".

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Step-by-step explanation:

5x +2 = 182 -4x

5x+4x = 182-2

9x = 180

x = 180/9

x = 20

4y +2 = 5x +2

4y = 5x

4y = 5(20)

4y = 100

y = 100/4

y = 25

Answer: 9.0876544e+58

Step-by-step explanation:

Answer:

90876543579645968765443223456789009876543212345678909876544

Step-by-step explanation:

90876543579645968765443223456789009876543212345678909876543

+

1

=

90876543579645968765443223456789009876543212345678909876544

A person can order in 1440 ways for a four-course meal

What is Fundamental Counting Principle

The fundamental counting principle states that if there are p ways to do one thing, and q ways to do another thing, then there are p×q ways to do both things.

How to determine this

The menu offers 8 appetizers, 12 main courses, 5 vegetable, 3 desserts

How many ways can a person order a four-course meal

So, 8 appetizer ×12 main course × 5 vegetables × 3 desserts

= 1440 ways

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Total number of possible outcomes:

Number of ways to choose 3 numbers from 56 (56 choose 3): 56! / (3! * (56 - 3)!) = 22,957

Number of ways to choose 1 number from 49: 49

Total number of possible outcomes = 22,957 * 49 = 1,128,593

Number of favorable outcomes:

Number of ways to choose 1 number from 49: 1

Number of favorable outcomes = 1

Probability of winning the minimum award:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 1 / 1,128,593 ≈ 0.000000888, or approximately 0.0000888%

If g(t) is cut in half, then t is doubled. Halving the growth factor halves the rate of growth, reducing the time required for a generation to develop to full size.

Growth factor refers to a mathematical expression or a metric that measures the rate of increase or growth of a quantity over time. It is used in many fields such as biology, economics, finance, and others to quantify the increase in size, population, revenue, or any other variable of interest. The growth factor can be represented as a ratio, percentage, or an exponential function and is used to predict future growth based on past trends.

3 potential points

Three tries are permitted.

If g(t) is divided in half, t is also divided in half. This is because the growth factor is a measure of the rate of growth, and halving it equals halves the rate of growth. As a result, the time required for a generation to develop to full size is cut in half.

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The difference of -3.24 cannot be evaluated

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

The difference of -3.24

The above expression is a statement that cannot be evaluated

This is so because we need at least two parameters for difference to be calculated

Take for instance:

The difference of -3.24 and 2

HEnce. the expression has no solution

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g(x) = -2√x + 8 is the function that has the same range as f(x) = -2√(x - 3) + 8. Both functions have the range of y ≤ 8

The function that has the same range as f(x) = -2√(x - 3) + 8 is g(x) = -2√x + 8. Both functions have the range of y ≤ 8.There are a few steps involved in determining which function has the same range as f(x) = -2√(x - 3) + 8. The range of a function refers to all the possible output values that the function can produce.Let's begin by examining the original function:f(x) = -2√(x - 3) + 8The square root symbol (√) implies that x-3 must be greater than or equal to 0. If x-3 is negative, then the function would produce an imaginary result.

Let's solve for x when f(x) = 0:0 = -2√(x - 3) + 8-8 = -2√(x - 3)4 = √(x - 3)16 = x - 3x = 19This tells us that the x-value that produces an output of 0 is x = 19. To determine the range, we need to find the maximum and minimum output values. We can use a graphing calculator or sketch a graph to determine the shape of the function and the range.The shape of the function suggests that the range is y ≤ 8, which means that the maximum value of the function is 8. This tells us that any function with the same maximum output value of 8 will have the same range as f(x).

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Answer:

\(\frac{2}{25}\)

Step-by-step explanation:

All percents can be written as a fraction with their denominator as 100.

So, first we can write the fraction as 8/100 and start making it smaller and simplifying it.

\(\frac{8}{100}\) can be divided by 4 since that is the GCF ( Greatest common factor)

Now, the numerator would be 2 and the denominator would be 25 as shown below ...

\(\frac{2}{25}\)

This is the simplest form of 8% as a fraction

Hope this Helps!!! :)

Let me know in the comments if the answer was perfect or if I should change anything!!!

The simplest form of the 8% as a fraction is 2 / 25.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %.

All percentages can be written as a fraction with their denominator as 100. First, write the fraction as 8/100 and start making it smaller and simplifying it.

Fraction = 8 /100

Fraction = ( 4 x 2) / ( 4 x 25)

Fraction  = 2 / 25

Thus, the 8% in the fraction is 2 / 25.

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Answer:

15

Step-by-step explanation:

m = 5, n = 2, and p = 4

Substituting the values in the equation p(6 – n) – m ÷ 5 ,

4(6-2) - 5/5

4(4) - 1

16 - 1

=> 15