What is the solution to this system of linear equations?

y − x = 6

y + x = −10

A. (−2, −8)
B. (−8, −2)
C. (6, −10)
D. (−10, 6)

Thank you if you can help me!

Angles 2·x + 2, and x + 50, formed by the transversal are alternate

exterior angles, which gives, x = 48°, the correct option is therefore;

A) 48

From the position of the angles image showing two parallel lines having

a common transversal we have;

Angle 2·x + 2 and angle x + 50 are alternate exterior angles

The alternate exterior angles formed by two parallel lines that have a

common transversal are equal, therefore;

2·x + 2 = x + 50

Which gives;

2·x - x = 50 - 2 = 48

x = 48°

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Answer:

B:(It requires special hardware, such as a computer and speakers.)

This is the correct answer! Setting up the hardware and software often takes a long time and delays the start of the presentation

Step-by-step explanation:

brainliest would be appreciated

Answer:

The answer is 258

Step-by-step explanation:

10+15+20+25+1221= 1291

1291 divided by 5 equals 258 with a remainder of 1

Equation of a Line

The slope-intercept form of a line is:

y = mx + b

Where m is the slope.

We are given the equation of a line:

24x - 2y = 38

Subtracting 24x:

-2y = -24x + 38

Dividing by -2:

y = (-24/-2)x + 38/(-2)

Operating:

y = 12x - 19

We can see that b = 12, thus the slope of the graph is 12

Answer:

D. 12

The following measurement to be rewritten with a simpler unit if possible, 1.8 m⋅s² kg⋅m²⟹ This unit is in Joules (J).

Using the formula for kinetic energy,K = 1/2 m v²where K is the kinetic energy, m is the mass and v is the velocity of the object. It can be seen that K can be expressed in terms of the mass and velocity squared only.

Now, the given measurement is in m⋅s² kg⋅m² which when simplified, becomes:

K = (1.8 m/s²) (2 kg) (1 m²)

K = 3.6 Joules (J)

Therefore, the simplest unit of measurement is Joules (J).

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Answer:

The answer is the third graph or c

Step-by-step explanation:

I just did the test and the other guy is correct to.

Answer:

If you are on edg 2021 then it is the graph with the line going down from 0 to the bottom left square of the graph

Step-by-step explanation:

So it is the first graph.

Answer:

Step-by-step explanation:

Height of the first balloon:

Height of the second balloon:

Correct option is A.

Answer:

the answer is A

Step-by-step explanation:

you said that the first balloon was falling at a rate of 40 feet per minute.that would be 3,000-40m. then you said the second balloon was rising at a rate of 50 feet per minute. that would be 1,200+50m. ther is your answer

Answer:

51 inch,  4.25 feet

Step-by-step explanation:

in inch = 59 - 8 = 51  inch

in feet = 51 / 12 = 4.25 feet

{12 inch = 1 feet}

Amanda's brother's height is 4 feet 3 inches.

We have,

Amanda's height is given as 59 inches.

Her brother is 8 inches shorter than she is.

So, Bother's height

= 59 inches - 8 inches

= 51 inches

So, Amanda's brother's height is 51 inches.

Now, convert 51 inches to feet and inches

= 51 inches ÷ 12

= 4 feet with a remainder of 3 inches

Therefore, Amanda's brother's height is 4 feet 3 inches.

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Answer:

B. It has the same radius as a single can but twice the height.

Step-by-step explanation:

A. It has the same radius and height as a single can.

No

B. It has the same radius as a single can but twice the height.

Yes

C. It has the same height as a single can but a radius twice as large.

No

D. It has a radius twice as large as a single can and twice the height.

No

Since both cylinders has the same radius, when they are both stacked together (vertically), the radius coincides, thereby making the stacked cylinders maintain same radius

This means, radius of cylinder A = radius of cylinder B = radius of stacked cylinders

But, the height doubles of the two stacked cylinders double.

That is, height of cylinder A + height of cylinder B

Answer:

It is B

Step-by-step explanation:

Person above is big brain

Answer:

do you need factor, combine like terms or simplify

Answer:

p=-2

Step-by-step explanation:

-6p-3=9

-6p-3+3=9+3

-6p=12

(Now divide both by -6.)

your answer is: p=-2

twenty-three of the students were in mr. x's class, 31 were in mrs. x's class, 9 were in both mr. and mrs. x's classes, and 18 other students were in neither class. then there are 63 students in the party

twenty-three of the students were in mr. x's class,

31 were in mrs. x's class,

9 were in both mr. and mrs. x's classes,

and 18 other students were in neither class.

therefore 23+31 - 9 =45

and 18 were other students

hence it becomes 45+18= 63 students were in the party

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a. The graph of the budget line would have hamburgers on the x-axis and bags of figs on the y-axis. b. the budget line equation represents Rachel's affordability based on her income and the prices of hamburgers and figs. Changes in prices, income, or additional resources can affect the slope, position, or rotation of the budget line on a graph.

a) Rachel's budget line equation can be written as follows:

Budget = (Price of Hamburger * Quantity of Hamburgers) + (Price of Figs * Quantity of Figs)

Since the price per hamburger is $3 and the price per bag of figs is $2, the equation becomes:

Budget = 3x + 2y

Where x represents the quantity of hamburgers and y represents the quantity of bags of figs. The graph of the budget line would have hamburgers on the x-axis and bags of figs on the y-axis.

b) If the price of figs increases to $3, the new budget line equation becomes:

Budget = 3x + 3y

The graph of the new budget line would show a steeper slope compared to the original budget line. This indicates that the relative price of figs has increased, making them relatively more expensive compared to hamburgers.

c) In this scenario, Rachel has an income of $50, the price per hamburger is $3, the price per bag of figs is $3, and she receives an additional $10 in cash from a friend. The new budget line equation can be written as:

Budget = (3x + 3y) + 10

The graph of the new budget line would shift upward parallel to the original budget line. The additional cash from Rachel's friend increases her purchasing power, allowing her to afford more hamburgers and/or bags of figs.

d) Now, Rachel's friend gives her a gift basket containing 3 free bags of figs. In this case, the budget line equation remains the same as in part c:

Budget = (3x + 3y) + 10

However, since Rachel receives 3 free bags of figs, she can allocate more of her budget towards purchasing hamburgers. This would cause the budget line to rotate outward from the y-intercept, resulting in a flatter slope. The new budget line would reflect Rachel's ability to purchase more hamburgers with the same income and price of figs.

In summary, the budget line equation represents Rachel's affordability based on her income and the prices of hamburgers and figs. Changes in prices, income, or additional resources can affect the slope, position, or rotation of the budget line on a graph.

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The percentage is calculated by dividing the required value by the total value and multiplying by 100.

The percentage of students who packed their lunch is 60%.

Option B is the correct answer.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50 /100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Of the students in sixth grade:

The number of students who packed their lunch = 3/5

This means,

Out of 5 students, 3 packed their lunch.

We can find the percentage by multiplying 3/5 by 100.

= 3/5 x 100

= 3 x 20

= 60%

Thus,

The percentage of students who packed their lunch is 60%.

Option B is the correct answer.

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The percentage of students who pack lunch is 60%.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have of all the students in sixth grade, 3/5 pack their lunch.

Assume that the percentage of students who pack lunch is [x]%. So -

x% = 3/5 x 100 = 60%

Therefore, the percentage of students who pack lunch is 60%.

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Answer:

Step-by-step explanation:

radius r = 4 in

slant height L = 15 in

base area = πr² = 16π in²

lateral area = πrL = 60π  in²

surface area = 76π in²

r = 4×6, L = 15×6

base area = (4×6)²π = 16π×36

lateral area = 60π×36

surface area is multiplied by 36

Considering a proportional relationship for the situation, the correct conclusion is given as follows:

(17,3) is viable.

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

\(y = kx\)

In which k is the constant of proportionality.

In this problem, since there is a proportional relationship, it has to have point (0,0), hence the viable points are (-2,7), (17,3) and (20,5), and the correct conclusion is:

(17,3) is viable.

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Answer:

its 17,3 I'm pretty sure

Step-by-step explanation:

The function y = √x + 3 is a vertical translation of the parent function by 3 units.

To understand this, let's first consider the parent function y = √x. This is the square root function, where the output (y) is the square root of the input (x). The graph of this function starts at the origin (0,0) and moves upwards as x increases.
Now, when we add 3 to the function, y = √x + 3, we are shifting the entire graph vertically upwards by 3 units. This means that for any given x-value, the corresponding y-value will be 3 units higher than it would be for the parent function.
To see this visually, imagine drawing the graph of y = √x. Now, for every point on that graph, move it up by 3 units. The resulting graph will be the graph of y = √x + 3.
To summarize, the function y = √x + 3 is a vertical translation of the parent function by 3 units. This means that all the points on the graph of the parent function have been shifted upward by 3 units to create the graph of y = √x + 3.

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The amount of money more in the account of Charlotte after 19 years than the money in account of Alyssa is, $13035.13

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

\(A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\\)

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.

Charlotte invested $33,000 in an account paying an interest rate of 7 3/4% compounded continuously for 19 years. The rate of interest is,

\(r=7\dfrac{3}{4}\\r=\dfrac{31}{4}\\r=7.75\)

Thus, the final amount in his account after 19 years is,

\(A=33000\times\left(1+\dfrac{7.75}{360\times100}\right)^{360(19)}\\A=143861.22\)

Alyssa invested $33,000 in an account paying an interest rate of 7 1/4% compounded daily. The rate of interest is,

\(r=7\dfrac{1}{4}\\r=\dfrac{29}{4}\\r=7.25\)

Thus, the final amount in her account after 19 years is,

\(A=33000\times\left(1+\dfrac{7.75}{360\times100}\right)^{360(19)}\\A=130826.09\)

The more money would Charlotte have in her account than Alyssa is,

\(D=143861.22-130826.09\\D=13035.13\)

Thus, the amount of money more in the account of Charlotte after 19 years than the money in account of Alyssa is, $13035.13

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Answer:

The quadratic function is usually written in the form f(p) = ap^2 + bp + c. The coefficients and the constant in the function are as follows:

a is the coefficient of the squared term (p^2),

b is the coefficient of the p term,

c is the constant term.

Given the function f(p) = p^2 – 8p – 5, we can match each term to its corresponding coefficient or constant:

- a is the coefficient of p^2, which is 1 (since there's no other number multiplying p^2).

- b is the coefficient of p, which is -8.

- c is the constant term, which is -5.

So, the correct values for the coefficients and the constant are:

a = 1, b = –8, c = –5

Answer: You have a 25 percent chance to get this right. I believe you can solve this! So, I will not include the answer.

Step-by-step explanation:

Please, think about the problem before posting. However, I will still give you a hint. To solve it, you first need to know the standard form of a quadratic.

\(ax^2+bc+c\)

a, b being coefficients, and c being a constant. Where a is greater than one.

Then you need to know what a constant and coefficient are.

You do the rest!

Answer:

the Choir has total of 100 members must be correct answer

more than half......................... can't be right cause there r exactly 50 members between 43-73,

second one can't be right cause no data was given no. of men and women

there r 35 members exactly who r less than 32 years so it's wrong.

hope it helps.

Answer:

the Choir has total of 100 members

Step-by-step explanation:

Answer:

cookware manufactures who make pans out of steel only

Step-by-step explanation:

Answer:

34.6

Step-by-step explanation:

Answer:

(4w^2+180w+1800) meters^2

Explanation:

(60+2w) x (30+2w)

1800+120w+4w^2+60w

Combine like terms and rearrange into quadratic equation

4w^2+180w+1800

Don't forget to put your units and since we are talking about area be sure to add your squared symbol

Answer:

D)    < 3, 7)>

Step-by-step explanation:

Explanation:-

Given that the vector < 3 , -7 >

Given the vector reflection across the x-axis

                   (x,y) → (x , -y)

The vector < 3,-7> →< 3, -(-7)>

                  < 3,-7> →< 3, 7)>

The values of the missing sides are;

a.  x = 35. 6 degrees

b. x = 15

c. x = 22. 7 ft

d. x = 31. 7 degrees

To determine the values, we have;

a. Using the tangent identity;

tan x = 5/7

Divide the values

tan x = 0. 7143

x = 35. 6 degrees

b. Using the Pythagorean theorem

x² = 9² + 12²

find the square

x² = 225

x = 15

c. Using the sine identity

sin 29= 11/x

cross multiply the values

x = 11/0. 4848

x = 22. 7 ft

d. sin x = 3.1/5.9

sin x = 0. 5254

x = 31. 7 degrees

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Answer:

4 , 12 , 14

Step-by-step explanation:

1) We are told that the median (middle number) is 12 and that the mean is 10

This means that the numbers added together, divided by 3 which equals to ten. From this we can understand that the numbers should add up to 30 as 30 divided by 3 is 10

2) We already know one of the middle numbers which is 12 so the next step would be to subtract 12 from 30 which would be 18.

3) We are also told that the range is 10 meaning that the difference between the smallest and biggest number is 10. If the difference between the smallest and biggest is 10 and the number that they can add to is 18, all we have to do to get our numbers subtract 10 from 18 which is 8 and divide it by 2 which is 4. We have to divide it because we need to find two more numbers

4) From the information we have so far we know that one of our numbers is 4 and the other is 12. To get the final number, add 12 and 4 together which is 16, and subtract that from 30 which is 14. Meaning our numbers are 4 , 12 and 14

5) To check if this is right we can see that the range is 10 (14 - 4 = 10) the mean is 10 (4 + 12 + 14 = 30) and the median is 12!!

Hope this helps, have a great day!

The value of the logarithm expression \(log_{0.5}(16)\) evaluated is given by : Option A: -4.00

When you raise a number with an exponent, there comes a result.

Lets say you get

\(a^b = c\)

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

\(b = log_a(c)\)

Some properties of logarithm are:

\(\log_a(b) = \log_a(c) \implies b = c\\\\\log_a(b) + \log_a(c) = \log_a(b \times c)\\\\\log_a(b) - \log_a(c) = \log_a(\frac{b}{c})\\\\\log_a(b^c) = c \times \log_a(b)\\\\\log_b(b) = 1\\\\\log_a(b) + log_b(c) = \log_a(c)\\\)

Log with base e = 2.71828... is written as \(\ln(x)\) simply.

Log with base 10 is written as \(\log(x)\) simply.

For this case, we have to simplify the expression \(log_{0.5}(16)\)

Let this is equal to 'a', then:

\(a = \log_{0.5}(16)\\\\0.5^a = 16\\(\dfrac{1}{2})^a = 16\\\\1^a/2^a = 2^4\\\\1 = 2^4 \times 2^a\\2^0 = 2^{4+a}\\\\0 = 4 + a\\a = -4\)

(we used the property that: \(b^0 = 1\) and \(k^m \times k^n = k^{m+n}\) )

Thus, the value of the logarithm expression \(log_{0.5}(16)\) evaluated is given by : Option A: -4.00

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One car travel South at 64 mi/h and the other travels west at 48 mi/h. The distance between the cars increases with rate at 80 mi/h.

To find the rate of change, we need to find the derivative of the variables with respect to time.

Let:

p = distance between 2 cars

q = distance between car 1 and the start point

r = distance between car 2 and the start point

Using the Pythagorean Theorem:

p² = q² + r²

Take the derivative with respect to time:

2p dp/dt = 2q dq/dt + 2r dr/dt

dq/dt = speed of car 1 = 64 mi/h

dr/dt = speed of car 2 = 48 mi/h

The distance of car 1 and car 2 from the start point after 4 hours:

q = 64 x 4 = 256 miles

r = 48 x 4 = 192 miles

Using the Pythagorean theorem:

p² =256² + 192²

p = 320 miles

Hence,

2p dp/dt = 2q dq/dt + 2r dr/dt

p dp/dt = q dq/dt + r dr/dt

320  x dp/dt = 256 x 64 + 192  x 48

dp/dt = 80

Hence, the distance between the cars increases with rate at 80 mi/h

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The maximum value of z is 0, and the values of the decision variables are x1 = 0, x2 = 10, x3 = 0, x4 = 0.

maximize: z = c1x1 + c2x2 + ... + cnxn

subject to

a11x1 + a12x2 + ... + a1nxn ≤ b1

a21x1 + a22x2 + ... + a2nxn ≤ b2

am1x1 + am2x2 + ... + amnxn ≤ bmxi ≥ 0 for all i

In our case,

the given LP is:maximize: z = 36x1 + 30x2 - 3x3 - 4x

subject to:

x1 + x2 - x3 ≤ 5

6x1 + 5x2 - x4 ≤ 10

xi ≥ 0 for all i

We can rewrite the constraints as follows:

x1 + x2 - x3 + x5 = 5  (adding slack variable x5)

6x1 + 5x2 - x4 + x6 = 10  (adding slack variable x6)

Now, we introduce the non-negative variables x7, x8, x9, and x10 for the four decision variables:

x1 = x7

x2 = x8

x3 = x9

x4 = x10

The objective function becomes:

z = 36x7 + 30x8 - 3x9 - 4x10

Now we have the problem in standard form as:

maximize: z = 36x7 + 30x8 - 3x9 - 4x10

subject to:

x7 + x8 - x9 + x5 = 5

6x7 + 5x8 - x10 + x6 = 10

xi ≥ 0 for all i

To apply the simplex algorithm, we initialize the simplex tableau as follows:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

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

z |  0    |   0    |   0    |  36    |   30   |   -3   |   -4   |    0    |

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

x5|   0   |   1    |   0    |   1    |   1    |   -1   |   0    |    5    |

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

x6|   0   |   0    |   1    |   6    |   5    |   0    |   -1   |   10    |

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

Now, we can proceed with the simplex algorithm to find the optimal solution. I'll perform the iterations step by step:

Iteration 1:

1. Choose the most negative coefficient in the 'z' row, which is -4.

2. Choose the pivot column as 'x10' (corresponding to the most negative coefficient).

3. Calculate the ratios (RHS / pivot column coefficient) to find the pivot row. We select the row with the smallest non-negative ratio.

Ratios: 5/0 = undefined, 10/(-4) = -2.5

4. Pivot at the intersection of the pivot row and column. Divide the pivot row by the pivot element to make the pivot element 1.

5. Perform row operations to

make all other elements in the pivot column zero.

After performing these steps, we get the updated simplex tableau:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

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

z |  0    |   0    |  0.4   |  36    |   30   |   -3   |   0    |   12    |

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

x5|   0   |   1    |  -0.2  |   1    |   1    |   -1   |   0    |   5     |

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

x10|   0  |   0    |   0.2  |   1.2  |   1   |   0    |   1    |   2.5   |

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

Iteration 2:

1. Choose the most negative coefficient in the 'z' row, which is -3.

2. Choose the pivot column as 'x9' (corresponding to the most negative coefficient).

3. Calculate the ratios (RHS / pivot column coefficient) to find the pivot row. We select the row with the smallest non-negative ratio.

Ratios: 12/(-3) = -4, 5/(-0.2) = -25, 2.5/0.2 = 12.5

4. Pivot at the intersection of the pivot row and column. Divide the pivot row by the pivot element to make the pivot element 1.

5. Perform row operations to make all other elements in the pivot column zero.

After performing these steps, we get the updated simplex tableau:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

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

z |  0    |   0    |  0.8   |  34    |   30   |   0    |   4    |   0     |

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

x5|   0   |   1    |  -0.4  |   0.6  |   1    |   5   |   -2   |   10    |

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

x9|   0   |   0    |   1    |   6    |   5    |   0   |   -5   |   12.5  |

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

Iteration 3:

No negative coefficients in the 'z' row, so the optimal solution has been reached.The optimal solution is:

z = 0

x1 = x7 = 0

x2 = x8 = 10

x3 = x9 = 0

x4 = x10 = 0

x5 = 10

x6 = 0

Therefore, the maximum value of z is 0, and the values of the decision variables are x1 = 0, x2 = 10, x3 = 0, x4 = 0.

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Answer:

a. 44 cm b. 126 cm

Step-by-step explanation:

a. it is semi circle

perimeter is πd

22/7*14

44 cm

b. it is equilateral triangle

so perimeter is side* 3

42 *3 = 126cm

Answer:

Step-by-step explanation:

(a)

The figure perimeter it is half of a circle with a diameter d₁=14 cm and two halfs of circle with a diameter d₂=14 cm÷2=7 cm.

The length of a circle is  L₀ = πd, where d is the diameter.

Therefore:

\(\bold{L=\frac12d_1+2\cdot\frac12d_2 = \frac12\cdot14\pi+\frac12\cdot2\cdot7\pi=14\pi\,cm\approx44\,cm}\)

(b)

A full circle it is 360°, so the circle sector of 60° is  \(\frac{60^o}{360^o}=\frac16\)  of the circle. So the arc of 60° is ¹/₆ of the full circle length.

The figure is an equilateral triangle and two 60°-sectors of circles with radiuses of length of the triangle's side (r=42 cm).

Its perimetr it's two radiuses, two arcs of 60° and one side of the triangle.

The length of a circle is  L₀ = 2πr, where r is a radius.

Therefore:

\(\bold{L=2r+2\cdot\frac16\cdot 2\pi r+r=3r+\frac23\pi r}\\\\\bold{L=3\cdot42+\frac23\pi\cdot42=(126+28\pi)\,cm\approx214\,cm}\)