What is the greatest common factor of 35, 28, and 14?

Answer:

x=11.1

Step-by-step explanation:

we can use the sine function: (opposite/hypotenuse)

sin(46)=8/x

x=8/(sin46)

11.1

Answer:

48

Step-by-step explanation:

a² - 16                        a = 8

8² - 16

= 64 - 16

= 48

The solution for each system of equations is given as follows:

1) x = -4, y = -8.

2) x = 5, y = -1.

3) x = -7, y = 2.

4) No solution.

5) x = 2, y = -6.

6) x = -3, y = 4.

The system of equations are solved using the elimination method, writing  one variable as a function of another, replacing in the other equation, and then obtaining each variable.

For item 1, we eliminate x, as follows:

x = 12 + 2y.

Hence the solution for y is obtained as follows:

5(12 + 2y) + 3y = -44

60 + 10y + 3y = -44

13y = -104

y = -104/13

y = -8.

Then the solution for x is given as follows:

x = 12 + 2y = 12 + 2(-8) = -4.

For item 2, we have that:

y = 19 - 4x.

Hence:

7x - 2(19 - 4x) = 37

7x - 38 + 8x = 37

15x = 75

x = 5.

Hence the solution for y is of:

y = 19 - 4(5) = -1.

For item 3, we can simplify the second equation by two, hence:

-x + y = 9.

y = 9 + x.

Hence:

3x + 8(9 + x) = -5

3x + 72 + 8x = -5

11x = -77

x = -7.

Hence the solution for y is of:

y = 9 - 7 = 2.

For item 4, we have that:

x = 7 + 3y.

Hence:

2(7 + 3y) - 6y = 12

14 + 6y - 6y = 12

0y = -2. (no solution, division by zero).

For item 5, we have that:

y = -2 - 2x.

Hence:

5x + 3(-2 - 2x) = -8

5x - 6 - 6x = -8

-x = -2

x = 2.

Hence the solution for y is of:

y = -2 - 2(2)

y = -6.

For item 6, we simplify the second equation by two, hence:

2x + y = -2

y = -2 - 2x.

Replacing on the first equation, we have that:

2x + 5(-2 - 2x) = 14.

2x - 10 - 10x = 14

-8x = 24

8x = -24

x = -3.

Hence the solution for y is obtained as follows:

y = -2 - 2(-3)

y = -2 + 6

y = 4.

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Answer:

D

Step-by-step explanation:

430 divided by 5 = 86

because in one minute she types 86 words we do

86 times 430 = 1,032

Answer:

-x^10y^15m^5

Step-by-step explanation:

-x^5×2y^3×5m^5

Answer:

15/31

Step-by-step explanation:

substitute -9 were there's x in the function

f(-9)=2(-9)+3/4(-9)+5

=-18+3/-36+5

=-15/-31

the negatives cancel giving you

15/31

Answer:

The equation for the line t, y + 8 = 12(x + 7) written in slope intercept form is

y = 12x + 76

The equation of our new parallel line u in slope intercept form is

y = 12x - 86

Step-by-step explanation:

\(y = mx + b\)

\(y + 8 = 12(x + 7) \\ y + 8 = 12x + 84\\ y = 12x + 76\)

substitute in the point (8, 10) to find the new y-intercept

\(y - mx = b \\ 10 - 12(8) = b \\ 10 - 96 = b \\ b = - 86\)

remember parallel line will have the same slope 12x

\(y = 12x - 86\)

We will substitute this value of sin²x in our expression which will give;6 tan²x(1 - sin²x)6 tan²x(1 - (1 - cos²x))6 tan²x cos²x.

We need to simplify the given expression which is given below;

6 tan2 x − 6 tan2 x sin2 x

In order to solve this expression, we will first write it in a factored form which will be;

6 tan²x(1 - sin²x)

We know that the identity for sin²x is;sin²x + cos²x = 1

Which can be rearranged to give;

sin²x = 1 - cos²x

Now we will substitute this value of sin²x in our expression which will give;6 tan²x(1 - sin²x)6 tan²x(1 - (1 - cos²x))6 tan²x cos²x.

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Answer:

x>4

Step-by-step explanation:

3x - 2 >10  add 2 to both sides

3x > 12  Divide both sides by 3

x >4

Answer:

\(x > \bf 4\)

Step-by-step explanation:

To find a solution to this inequality, we have to rearrange this equation to make \(x\) its subject:

\(3x - 2 > 10\)

⇒ \(3x - 2 + 2 > 10 + 2\)      [Add 2 to both sides]

⇒ \(3x > 12\)

⇒ \(\frac{3x}{3} > \frac{12}{3}\)                         [Divide both sides by 3]

⇒ \(x > \bf 4\)

The number of solutions the system of equations have is (a) no solution

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

y = 0.5x + 1

y = 0.5x + 3

Subtract the equations

So, we have

0 = -2

The above equation is false

This means that the number of solutions in the equation is 0

i.e. no solution

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Answer:

y=-1

Step-by-step explanation:

x=30

y=14-0,5x

y=14-0,5*30

y=14-15

y=-1

5/2

10/4

15/6

50/20

300 G  150 G 75 G

140 G 70 G 35 G

420 G 210 G 105 G

220 G 110 G 55 G

Perimeter of square

Perimeter of two sides of triangle:-

Perimeter of circle excluding diameter line

Total perimeter

Answer:

To solve for y in the inequality 5(2y - 1) < -15, we can simplify the expression on the left-hand side as follows:

5(2y - 1) < -15

10y - 5 < -15 // Distribute the 5 on the left side

10y < -10 // Add 5 to both sides

y < -1 // Divide both sides by 10 and flip the inequality

Therefore, the solution is y < -1.

Answer:

the answer to this problem is A

Answer:

12 is a rational number because it can be expressed as the quotient of two integers: 12 ÷ 1.

12 belongs to the sets of natural numbers, integer numbers, rational numbers, and real numbers.

First, we can see that it is a whole number, so it is an integer number.

Also, all positive integers are natural numbers, so 12 is also a whole number.

Now, we also can rewrite 12 as:

12 = 12/1

So it is a quotient between two integer numbers, thus, 12 is also a rational number.

Finally, the trivial answer, 12 belongs to the set of the real numbers (the set that contains all the numbers).

Concluding:

12 belongs to the sets of whole numbers, integer numbers, rational numbers, and real numbers.

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Answer:

You compare it by this

Step-by-step explanation:

Linear functions are graphed as straight lines while exponential functions are curved. Linear functions are typically in the form y = mx + b, which is used to discover the slope, or simply the change in y divided by the change in x, while exponential functions are typically in the form y = (1 + r) x.

Answer:

8

Step-by-step explanation:

Order of operations

Look below

a. Therefore, the sample space consists of 8 elements. b. P(G) = 5/8 ≈ 0.625c. Therefore, there are a total of 3 even-numbered cards. Dividing this by the total number of cards in the deck: P(E) = 3/8 ≈ 0.375

a. The sample space represents all possible outcomes of an event. In this case, drawing a card from the special deck can result in any of the 8 cards: 5 green cards (numbered 1, 2, 3, 4, and 5) and 3 yellow cards (numbered 1, 2, and 3). Therefore, the sample space consists of 8 elements.

b. The probability of drawing a green card (P(G)) can be calculated by dividing the number of green cards (5) by the total number of cards in the deck (8):

P(G) = 5/8 ≈ 0.625

c. To calculate the probability of drawing an even-numbered card (P(E)), we need to determine the number of even-numbered cards in the deck. In this case, the green cards numbered 2 and 4 are even, while the yellow card numbered 2 is also even. Therefore, there are a total of 3 even-numbered cards. Dividing this by the total number of cards in the deck:

P(E) = 3/8 ≈ 0.375

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It will take a minimum of 10 clock hours (not driving hours) for the truck driver to travel 450 miles from Charlotte, NC to Pittsburgh, PA.

The current Hours of Service (HOS) rules for truck drivers stipulate that a truck driver cannot drive for more than 11 hours after 10 consecutive hours off duty.

Additionally, the driver is not allowed to drive beyond 14 hours after coming on duty.

The driver's shift includes both driving and non-driving time.

Therefore, it is necessary to consider the total amount of time spent on the job.

The truck driver will have to stop for rest breaks, refueling, or other reasons during the 450-mile journey to Pittsburgh, Pennsylvania. The driver is required to take a 30-minute break after eight hours of driving.

Therefore, the minimum number of clock hours (not driving hours) it will take the truck driver to travel the 450-mile distance from Charlotte, NC to Pittsburgh, PA is calculated as follows:

Time for the trip = (Distance ÷ Average Speed) + Breaks

Time for the trip = (450 ÷ 50) + (30 ÷ 60) × 2

Time for the trip = 9 + 1

Time for the trip = 10 clock hours

Therefore, it will take a minimum of 10 clock hours (not driving hours) for the truck driver to travel 450 miles from Charlotte, NC to Pittsburgh, PA.

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After calculating the partial derivatives and the cross product, we can find the double integral of the magnitude over the region (0 ≤ r ≤ √3, 0 ≤ θ ≤ 2π). This double integral gives the surface area of the part of the plane inside the cylinder.

To find the area of the surface of the part of the plane x + 2y + 3z = 1 that lies inside the cylinder x^2 + y^2 = 3, we can use a parametric representation for the plane and cylinder intersection.

Let x = r * cos(θ) and y = r * sin(θ), where r^2 = 3 (from the cylinder equation). Now, we can find z in terms of r and θ using the plane equation:

z = (1 - x - 2y) / 3
z = (1 - r * cos(θ) - 2r * sin(θ)) / 3

Now, we have the parametric representation of the intersection: (r * cos(θ), r * sin(θ), (1 - r * cos(θ) - 2r * sin(θ)) / 3). To find the surface area, we need to calculate the partial derivatives with respect to r and θ and then find the magnitude of the cross product.

After calculating the partial derivatives and the cross product, we can find the double integral of the magnitude over the region (0 ≤ r ≤ √3, 0 ≤ θ ≤ 2π). This double integral gives the surface area of the part of the plane inside the cylinder.

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Answer:

The price fell by 13.5%.

Step-by-step explanation:

Formula: Subtract the lower price from the higher price. Divide that answer by the higher price. Multiply by 100 to get the percent. This is also the formula for percent error.

1: \((\frac{3.7-3.2}{3.7})*100\)

2: \((\frac{0.5}{3.7}) *100\)

3. 0.135*100

4: 13.51%

The final answer is 13.5%.

Answer:

1   1/4

Step-by-step explanation:

Just divide them, 3/4 divided by 3/5, then switch the fraction and sign.

Answer:

15/12

Step-by-step explanation:

3/4 divided by 3/5

That would become 3/4 times 5/3 because you take the reciprocal

3 x 5 = 15

4 x 3 = 12

So, 15/12 or 1.25

Sasha should use 2 desired outcomes in her probability calculation to determine that she has a 1/3 chance of winning the game.

To calculate Sasha's probability of winning, we need to determine how many desired outcomes she has. In this game, Sasha needs to spin a number higher than both of her friends' spins, which means she needs to spin a number greater than 1 and 4.

Let's analyze the spinner pictured. From the image, we can see that the spinner has numbers ranging from 1 to 6. Since Sasha needs to spin a number higher than 4, she has two options: 5 or 6.

Now, let's consider the desired outcomes. Sasha has two desired outcomes, which are spinning a 5 or spinning a 6. If she spins either of these numbers, she will have a number higher than both of her friends and win the game.

To calculate Sasha's probability of winning, we need to divide the number of desired outcomes by the total number of possible outcomes. In this case, the total number of possible outcomes is the number of sections on the spinner, which is 6.

Sasha's probability of winning is 2 desired outcomes divided by 6 total outcomes, which simplifies to 1/3.

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.

A function which has the greater initial value include the following: linear function A.

In Mathematics, the y-intercept is sometimes referred to as an initial value and the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).

By critically observing the table of values for linear function A, we can reasonably and logically deduce that its y-intercept (initial value) is equal to 8 when the value of "x" is equal to zero (x = 0).

For linear function B, we would substitute the value of x with zero (0) as follows;

y = 3x + 2

y = 3(0) + 2

y = 0 + 2

y = 0.

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Let's consider an example with hypothetical data for two crops, Wheat and Rice, obtained from five farmers:

| Farmer | Rabi Crop (tons/ha) | Kharif Crop (tons/ha) |

|--------|--------------------|----------------------|

|   F1   |        4.5         |         6.2          |

|   F2   |        3.8         |         5.5          |

|   F3   |        4.2         |         6.0          |

|   F4   |        5.1         |         7.3          |

|   F5   |        4.9         |         6.5          |

```

To calculate the selling price and profit, you would need additional information such as the selling price per ton for each crop and the cost of production. Let's assume the selling price for Wheat is $200 per ton and for Rice is $250 per ton. We will also assume a production cost of $150 per ton for both crops.

To calculate the profit for each farmer, you can use the following formula:

Profit = (Selling Price - Production Cost) * Production

For example, let's calculate the profit for Farmer F1 with the given data:

Profit for Wheat = (200 - 150) * 4.5 = $225

Profit for Rice = (250 - 150) * 6.2 = $620

Repeat this calculation for each farmer and crop combination to obtain the profits for all.

Once you have the data for production, selling price, and profit, you can create a double bar graph to compare the production of Wheat and Rice in the farmers' fields. The x-axis will represent the farmers, and the y-axis will represent the production (tons/ha). Each farmer will have two bars, one for Wheat and one for Rice, showing the respective production amounts.

Please note that the actual selling price, production costs, and profits may vary based on various factors, and you would need specific data and current market information to calculate accurate values.

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Answer:

Step-by-step explanation:

All of the above