please help thank you

Answer:

(m,n) is (-2,2)

Step-by-step explanation:

Elimination means that we should rewrite one of the two equations as an expression of one of the variables isolated, and then use that definition isn the other equation.  It is also called "substitution."

Lets use the first equation and rewrite it so that the variable m is isolated:

3m-4n=-14

-4n = -3m-14

n = (3/4)m +(7/2)

Now use this definition of n in the second equation:

3m+2n=-2

3m+2((3/4)m +(7/2)) = -2

3m + (3/2)m + 7 = -2

4.5m = -9

m = -2

Now use m= -2 in either equation to find n.

3m-4n=-14

3(-2)-4n=-14

-6 -4n = -14

-4n = -8

n = 2

The solution of this system of equations is (-2,2).

See the attached graph, with x and y used in place of m and n.

The relation 2 represents a function.

In order to determine which relation in the below table represents a function, we need to first understand what a function is.A function is a relationship in which each input value corresponds to exactly one output value.

To put it another way, each x-value has one and only one y-value. The most typical method to determine whether a relation is a function is to use the vertical line test.

The vertical line test is a way to determine if a relation is a function graphically. To test if a graph is a function, we draw a vertical line through each x-value on the graph. If a vertical line crosses the graph more than once, it is not a function.

If, on the other hand, the graph passes the vertical line test and no vertical line crosses the graph more than once, it is a function.Now let's look at the table below to determine which relation is a function.

We will first plot the x and y values of each relation on a coordinate system and then apply the vertical line test to each relation.

Relation 1: x | y0 | 10 | 11 | 22 | 23 | 34 | 35 | 4Relation 1 does not represent a function since we can draw a vertical line through x = 3 and the line will cross the graph more than once.

Relation 2: x | y2 | 33 | 34 | 45 | 46 | 57 | 5Relation 2 represents a function since we can draw a vertical line through each x-value on the graph and it will only cross the graph once.

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Answer:

he will have to pay $650 in the month of june

Answer:

lines 2, 4, 5

Step-by-step explanation:

Change the mixed numeral into a fraction. You get the last line.

Add the terms with fractions. You get the 4th line.

Multiply both sides by 6. You get 37x = 6 * 37. This is not a line in the choices.

Divide both sides by 37. You get x = 6.

Answer: lines 2, 4, 5

Answer:

(-5, 2)

Step-by-step explanation:

The answer is where the two lines intersect

\(\qquad \qquad\huge \underline{\boxed{\sf Answer}}\)

The Triangles congruent by SAS criteria are the ones in choice B

where the two sides are given equal, one side is common in there and they have a right angle between the mentioned two sides.

So, it makes it more reasonable

Hope you understood ~ ask me if there's any doubt or more questions !

Answer:

2

Step-by-step explanation:

Answer:

Quadrant II

Step-by-step explanation:

See attached image.

Answer:

5

Step-by-step explanation:

Answer:

5, -5

Step-by-step explanation:

5, -5

not much else to it

Answer: About 0.2 gallons

Step-by-step explanation: 4/18=0.2 repeating, so each person gets about 0.2 gallons.

Each of her friend will get 4 and a half gallons of juice.

Division is one of the four main arithmetical operations by which we find the equal distribution of something.

Given that, At Lara's party, 4 gallon of fruit punch are shared equally among 18 friend.

To find how much each of them got, we will divide total amount of punch  by total number friends

Amount of juice each of them gets, = 18/4 = 4.5

Hence,  Each of her friend will get 4 and a half gallons of juice.

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You would need to wait approximately 51.33 years from now to grow your initial investment of $39,000 to $174,000 at an interest rate of 10% per year.

To calculate the number of periods (years) required to grow an initial investment to a desired future value, we can use the formula for compound interest:

FV = PV * \((1 + r)^n\)

Where:

FV is the future value

PV is the present value (initial investment)

r is the interest rate per period

n is the number of periods

In this case:

PV = $39,000

FV = $174,000

r = 10% per year

Let's calculate the number of periods (years):

FV = PV * \((1 + r)^n\)

174,000 = 39,000 * \((1 + 0.10)^n\)

Divide both sides by 39,000:

4.4615 = \((1.10)^n\)

Take the logarithm of both sides to solve for n:

log(4.4615) = n * log(1.10)

n ≈ log(4.4615) / log(1.10)

n ≈ 2.1270 / 0.0414

n ≈ 51.33 (rounded to two decimal places)

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Step-by-step explanation:

short hand radius = 4

distance travellled in 1 day revolution = 2πr= 2 x 22/7 x 4= 25.1cm (approx)

distance travellled in 2 day revolution= 25.1+ 25.1 = 50.2

long hand radius= 6

each hour 1 revolution by long hand so in 24 hr 24 revolutions and 48 he 48 revolution

distance travelled in 1 hr = 2πr= 2 x 22/7 x 6= 37.7

distance in 48hr = 37.7 x 48= 1809.6 (approx)

so sum of both= 1809.6 + 50.2 = 1859.8

Answer:

1910.12 cm

Step-by-step explanation:

2 days = 48 hrs = 2880 mins

One cycle of the short hand (4 cm) would be 12 hrs.

48/12 = 4 cycles

Circumference of a circle =  \(2\pi r\)

r = 4 cm

2*pi*4 ≈ 25.13 cm (I only rounded to the hundredth, adjust as u need)

25.13 * 4 = 100.52 cm

One cycle of the long hand (6 cm) would be 60 mins (which is 1hr and two days would be 48hrs or 48 cycles. But let's keep this consistent).

2880/60 = 48 cycles

Circumference of a circle =  \(2\pi r\)

r = 6 cm

2*pi*6 ≈ 37.70 cm (I only rounded to the hundredth, adjust as u need)

37.70 * 48 = 1809.6

100.52 + 1809.6 = 1910.12 cm

^^ I'm not a junior I'm a senior so lol

Answer:

\( {(2x + y)}^{3} + {(2x - y)}^{3} \\ \\{(2x + y)}^{2}(2x + y)\: + (2x - y)^{2}(2x - y) \\ \\ (4 {x}^{2} + 4xy + {y}^{2} )(2x + y) + (4 {x}^{2} - 4xy + {y}^{2} )(2x - y) \\ \\ (8 {x}^{3} + 12 {x}^{2} y + 6x {y}^{2} + {y}^{3} ) + (8 {x}^{3} - 12 {x}^{2} y + 6x {y}^{2} - {y}^{3} ) \\ \\ = 16 {x}^{3} + 12x {y}^{2} \)

*Swipe left and right to see the answer.

I hope I helped you^_^

Answer:

Their are many other answers to this question this is one of the ones that are correct.

Answer: 2

Step-by-step explanation:

8/2 = 4

4/2 = 2

The length of the rectangle is 7 cm and the width is 5 cm.

The whole distance covered by the rectangle's borders or its sides is known as its perimeter. As we know the rectangle will have 4 sides then the perimeter of the rectangle will be equal to the total of its four sides. And the unit will be in meters, centimeters, inches, feet, etc.        

The formula for the Perimeter of the rectangle is given by

Here we have

The length of a rectangle is 2cm greater than the width of the rectangle

And perimeter of the rectangle = 24 cm

Let x be the width of the rectangle

From the given data,

Length of the rectangle = (x + 2) cm  

As we know Perimeter of rectangle = 2(Length+width)

=> Perimeter of rectangle = 2(x+2 + x) = 2(2x +2)

From the given data,

Perimeter of rectangle =  24cm

=> 2(2x +2) = 24 cm

=> (2x +2) = 12     [ Divided by 2 into both sides ]

=>  2x = 12 - 2

=>  2x = 10

=>   x = 5         [ divided by 2 into both sides ]  

Length of rectangle, (x+2) = 5 + 2 = 7 cm

Therefore,

The length of the rectangle is 7 cm and the width is 5 cm.

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The number of books that Mrs. Johnson bought is 8 books.

How many magazines did she buy:

Let x represent the number of books she bought

The first step is to formulate an equation

12x + 16 = 112 dollars

The second step is to transpose

12x=112-16  

12x = 96

The third step is to divide both sides by 12

x=96/12  

x = 8

In conclusion, the number of books that Mrs. Johnson bought is eight books.

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The area of the label on the canned tuna fish would be A = 25.13272 square inches

Given data ,

The whole side of the can, including the can's lateral surface area, is covered with the label for the canned tuna fish. The following formula may be used to determine a cylinder's lateral surface area:

Height x circumference = lateral surface area.

The radius (r) would be half of the can's diameter, or 2 inches, since its diameter is 4 inches.

The formula: may be used to determine a circle's circumference.

Circumference = 2πr

On simplifying , we get

Circumference = 2 × 3.14159 × 2 = 12.56636 inches

Lateral surface area = height × circumference = 2 × 12.56636 = 25.13272 square inches

Hence , the lateral surface area of the label is A = 25.132 inches²

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The complete question is attached below :

A can of tuna fish has a diameter of 4 inches and a height of 2 inches what is the area of the label of the canned assuming that covers the entire side if they can

The internal rate of return on the investment for Burgundy Basins is 13.33%.

The internal rate of return on the investment for Burgundy Basins represents the percentage return expected from the investment, which is 13.33% in this case. It indicates the rate at which the investment's net present value is zero, meaning it is expected to generate returns equal to its cost. This makes the investment financially attractive as it offers a return higher than the company's cost of capital.

Burgundy Basins, a sink manufacturer, is considering an average-risk investment worth $36 million. The investment is projected to generate a perpetual annual return of $4.8 million. To evaluate the attractiveness of the investment, the internal rate of return (IRR) is calculated. The IRR represents the rate at which the net present value of the investment becomes zero.

In this case, the IRR is determined to be 13.33%, indicating that the investment offers a return higher than its cost. This implies that the investment is financially viable and can potentially enhance the company's profitability. However, it's important to note that other factors such as market conditions and potential risks should also be taken into consideration before making a final decision.

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Answer:

(621.49 x  0.1) + 13.99 = x

Step-by-step explanation:

I hope this helps

Answer:

I think it's A or B

Step-by-step explanation:

The dual problem is to maximize P = y1 - 11y2, subject to y1 + y2 ≤ 54 and y1, y2 ≥ 0.

To form the dual problem, we need to introduce dual variables for each constraint in the primal problem and convert the objective function into constraints. The primal problem has two inequality constraints:

3x1 + x2 ≥ 2

-11x1 - 2x2 ≥ 6

For each constraint, we introduce a dual variable, y1 and y2 respectively. The objective function in the primal problem is to minimize C = 42x1 + 54x2. To convert it into constraints in the dual problem, we create a constraint for each primal variable with the corresponding dual variable:

C - 42x1 - 54x2 = 0

Now we can write the dual problem as maximizing P = y1 - 11y2, subject to the dual constraints:

y1 - 3y2 ≤ 0 (corresponding to the primal constraint 3x1 + x2 ≥ 2)

-y1 + 11y2 ≤ 0 (corresponding to the primal constraint -11x1 - 2x2 ≥ 6)

y1 + y2 ≤ 54 (corresponding to the primal constraint x1, x2 ≥ 0)

y1, y2 ≥ 0

The objective in the dual problem is to maximize P, which represents the upper bound or price for each primal constraint. The dual problem provides insights into the pricing or valuation of resources or constraints in the primal problem. By solving the dual problem, we can obtain the optimal values for the dual variables, y1 and y2, which can provide information about the shadow prices or sensitivities of the primal constraints.

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Answer:

7=2+r

Step-by-step explanation:

Since the figure represents a balanced equation, then both sides add up to be the same:

\(1+1+1+1+1+1+1=1+1+r\\7=2+r\)

Not sure which one Khan is asking for :|

well, let's take a look at the tickmarks on the triangle, the tickmarks mean that AC = CB, both AC and CB stemming out of vertex C, and both twin sides will make twin angles at the "base" or namely ∡A = ∡B, that means that 34 = x - 5, let's also recall that the sum of all interior angles in a triangle is 180°, so

\(34=x-5\implies \boxed{39=x} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\measuredangle A}{34}~~ + ~~\stackrel{\measuredangle B}{34}~~ + ~~\stackrel{\measuredangle C}{4y}~~ = ~~180\implies 68+4y=180 \\\\\\ 4y=112\implies y=\cfrac{112}{4}\implies \boxed{y=28}\)

Answer:

y = 28

Step-by-step explanation:

The dashes on line segments AC and BC indicate that the line segments are equal in length.

Therefore, as the triangle has two sides of equal length, it is an isosceles triangle.

The base angles of an isosceles triangle are equal, therefore ∠A = ∠B.

Interior angles of a triangle sum to 180°.  

Therefore:

⇒ ∠A + ∠B + ∠C = 180°

⇒ 34° + 34° + 4y° = 180°

⇒ 68° + 4y° = 180°

⇒ 4y° = 112°

⇒ y = 112° ÷ 4°

⇒ y = 28

Answer:

it is called rectangularization

Step-by-step explanation:

Answer:

53 1/3 km/h

Step-by-step explanation:

average speed = (total distance)/(total time)

average speed = distance/time

time * average speed = distance

time = distance/(average speed)

250 km at 75 km/h

distance = 250 km

time = (250 km)/(75 km/h) = 3.33333... hours

350 km at 70 km/h

distance = 350 km

time = (350 km)/(70 km/h) = 5 hours

200 km at 30 km/h

distance = 200 km

time = (200 km)/(30 km/h) = 6.6666...  hour

total distance = 250 km + 350 km + 200 km = 800 km

total time = 3.33333... hours + 5 hours + 6.66666... hours = 15 hours

average speed = (total distance)/(total time)

average speed = (800 km)/(15 hours)

average speed = 53 1/3 km/h

The average speed of whole journey of the train is 45 km/hr

Average speed is the ratio of total distance travelled to total time taken. It is given by:

Average speed = total distance / total time

Given that a train travels 250 km with a average speed of 75 km/hr, hence:

75 = 250/time

time = 3.33 hours

It the travel 200 km with average speed of 30km/hr, hence:

30 = 200/time

time = 6.67 hours

The total distance = 200 km + 250 km = 450 km

The total time = 3.33 hr + 6.67 hr = 10 hours

Average speed = total distance/total time = 450 km/10 hours = 45 km/hr

The average speed of whole journey of the train is 45 km/hr

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From the total of six liters (6000 milliliters), there is 5000 milliliters remaining. Dividing this amount by five days, you can drink 1000 milliliters (1 liter) of soda each day.

1. To determine the amount of soda you can drink each day, we subtract the amount consumed by your sister, mother, and father from the initial six liters (6000 milliliters). The combined consumption is 300 + 500 + 200 = 1000 milliliters. Subtracting the total consumption from the initial quantity of six liters, we have: Remaining Soda = 6000 milliliters - 1000 milliliters = 5000 milliliters.

2. To distribute this remaining amount over five days, we divide 5000 milliliters by 5: Soda per Day = 5000 milliliters / 5 = 1000 milliliters. Therefore, you can drink 1000 milliliters (1 liter) of soda each day to ensure it lasts for five days.

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Answer:

7/3

Step-by-step explanation:

use the rise over run formula

The sample data set has a range of 11, a mean of 16.4, a variance of 12.72, and a standard deviation of approximately 3.56.

To determine the range, mean, variance, and standard deviation of the sample data set, we'll use the following formulas:

Range: The range is the difference between the maximum and minimum values in the data set.

Mean: The mean is the sum of all values divided by the total number of values.

Variance: The variance measures the average squared deviation from the mean.

Standard Deviation: The standard deviation is the square root of the variance.

Let's calculate each of these measures step by step:

First, we arrange the data set in ascending order: 12, 15, 15, 15, 15, 16, 16, 18, 19, 23.

Range: The maximum value is 23, and the minimum value is 12.

Range = 23 - 12 = 11.

Mean: Sum all the values and divide by the total number of values.

Mean = (12 + 15 + 15 + 15 + 15 + 16 + 16 + 18 + 19 + 23) / 10 = 164 / 10 = 16.4.

Variance: Calculate the squared deviation from the mean for each value, sum them up, and divide by the total number of values.

Variance =\([(12 - 16.4)^2 + (15 - 16.4)^2 + (15 - 16.4)^2 + (15 - 16.4)^2 + (15 - 16.4)^2 + (16 - 16.4)^2 + (16 - 16.4)^2 + (18 - 16.4)^2 + (19 - 16.4)^2 + (23 - 16.4)^2] / 10\)

Variance = (19.36 + 1.96 + 1.96 + 1.96 + 1.96 + 0.16 + 0.16 + 2.56 + 5.76 + 38.44) / 10

Variance = 12.72.

Standard Deviation: Take the square root of the variance.

Standard Deviation = √(12.72) ≈ 3.56.

Therefore, the range of the sample data set is 11, the mean is 16.4, the variance is 12.72, and the standard deviation is approximately 3.56.

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Answer:

The solution is −6+10.

Step-by-step explanation: