Find the value of y.

A) 5√3 (5 radical 3)
B) 10
C) 5√2 (5 radical 2)
D) 5

Answer:

y=5

Step-by-step explanation:

First, distribute the 2 to the 3y and -7

6y - 14 = 16

Second, add 14 to both sides.

6y = 30

Third, divide both sides by 6

y = 5

As you can see y equals 5!

I hope the explanation helped and have a great day!

Answer:

y = 5

Step-by-step explanation:

2(3y - 7) = 16

distributive property:

2(3y - 7) = 16

6y - 14 = 16

add 14 on both sides

6y - 14 + 14 = 16 + 14

6y = 30

divide both sides by 6 :

\(\frac{6y}{6} = \frac{30}{6}\)

y = 5

to check, subtitute 5 for y

2 (3(5) - 7) = 16

2(18 - 7) = 16

30 - 14 = 16

16 = 16

The integral of (42³ - 2r + 7) dz is equal to (42³ - 2r + 7)z + C.

To integrate the function (42³ - 2r + 7) dz, we treat r as a constant and integrate with respect to z. The integral of a constant with respect to z is simply the constant multiplied by z:

∫ (42³ - 2r + 7) dz = (42³ - 2r + 7)z + C

where C is the constant of integration.

Note: The integral of a constant term (such as 7) with respect to any variable is simply the constant multiplied by the variable. In this case, the variable is z.

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Company A has a higher risk percentage (55%) compared to Company B (3%).

To compute the Coefficient of Variation (CV) for each company, we need to use the formula:

CV = (Standard Deviation / Mean) * 100

Let's calculate the CV for each company:

For Company A:

Risk Percentage = 55%

Return = 14%

For Company B:

Risk Percentage = 3%

Return = 14%

Since we don't have the standard deviation values for each company, we cannot calculate the exact CV. However, we can still compare the riskiness of the two companies based on the provided information.

The Coefficient of Variation measures the risk relative to the return. A higher CV indicates higher risk relative to the return, while a lower CV indicates lower risk relative to the return.

In this case, Company A has a higher risk percentage (55%) compared to Company B (3%), which suggests that Company A is riskier. However, without the standard deviation values, we cannot make a definitive conclusion about the riskiness based solely on the provided information. The CV would provide a more accurate measure for comparison if we had the standard deviation values for both companies.

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To evaluate the integral by reversing the order of integration, we first need to draw the region of integration. From the given limits of integration, we can see that the region is a rectangle with vertices at (0,4), (0,12), (11,4), and (11,12).

Now, we can reverse the order of integration by integrating with respect to y first, and then x. The new limits of integration will be y = 4 to y = 12 and x = 0 to x = 11e^(2y/3).

So, the new integral will be:

∫(0 to 11) ∫(4 to 12) 3y e^(2x/3) dy dx

We can evaluate this integral using integration by parts. Integrating with respect to y gives us:

∫(0 to 11) [3y^2/2 e^(2x/3)] from y = 4 to y = 12

Simplifying this expression gives us:

∫(0 to 11) [36e^(2x/3) - 6e^(8x/3)]/2 dx

Now, integrating with respect to x gives us:

[27e^(2x/3) - 9e^(8x/3)] from x = 0 to x = 11

Substituting these values and simplifying gives us the final answer:

(27e^22/3 - 9e^88/3) - (27 - 9) = 27e^22/3 - 9e^88/3 - 18

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The length of rectangle :10 feet

               The width of rectangle :  4 feet

       Given

        perimeter of the rectangle :28 feet

       let  width of the rectangle be :x

         and  length  of the rectangle be :  6+x   (as per given condition)

      therefore  

                      perimeter = 2(length +width)

                               28 = 2(6+x+x)

                               28 = 2(6+2x)

                               28 = 12+4x

                               28-12 = 4x

                                16  = 4x

                                 x = 4

  as width of rectangle  is : 4

similarly  length : 6+x

                            6+4

                            :10

The dimensions of the rectangle are : length =10

                                                               width = 4

verification :

perimeter =2(l+w)

28 = 2(10+4)

28 = 28

Answer:

the answer is 19yds squared

Answer:

19 yd²

Step-by-step explanation:

One way to find the solution is

Area of big rectangle =5* (3+2) =5*5 =25

Area of top small square = 2*2=4

Area of bottom small rectangle = 2*1 =2

Now put it all together:

Area of the figure = Area of big rectangle-Area of top small square-Area of bottom small rectangle= 25 -4 -2 = 21 -2 = 19 yd²

The answer is 49 :))

Answer:

Id

I forget

Step-by-step explanation:

The probability that he or she is a 12th Grade student is 0.1796

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

The table of values

When a geometry student is selected, we have

12th geometry Grade student = 51

Geometry student = 74 + 47 + 112 + 51

So, we have

Geometry student = 284

The probability is then calculated as

P = 51/284

Evaluate

P = 0.1796

Hence, the probability that he or she is a 12th Grade student is 0.1796

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The dependent variable of interest in examining whether the degree of parental involvement differs based on students' grade in school is the degree of parental involvement.

In this scenario, the independent variable is the students' grade in school (i.e., first, second, third, etc.). The dependent variable is the variable that is expected to be influenced by the independent variable. In this case, the dependent variable of interest is the degree of parental involvement.

The degree of parental involvement refers to the level or extent to which parents are engaged in their child's education and school-related activities. It can encompass various aspects, such as attending parent-teacher meetings, volunteering at school, helping with homework, and participating in school events.

By examining whether the degree of parental involvement differs based on students' grade in school, researchers or educators aim to explore any potential patterns or differences in parental involvement as children progress through different grade levels. This investigation can provide insights into how parental involvement may vary across grade levels and inform strategies to enhance parental engagement in education at specific stages of a child's schooling. Thus, the dependent variable of interest is the degree of parental involvement.

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Answer:

12.04

Step-by-step explanation:

add 8 and 9 by the power of two: 8^2+9^2

that equals to 145

find the square root of 145 and that equals to 12.04

true...

cus their angles are same... if you rotate the second triangle once to the left side

hope it helps...!!!

Answer: $8

Step-by-step explanation:

Let x represent the amount the amount shared

2:4:5 is the same as 2x:4x:5x

The largest part = The largest share

5x = 40

x = 8

Total amount = 2x + 4x + 5x

= 11x

= 11(8)

Total amount = $88

a. There are a total of 676,000 different license plates that can be printed.

b.The vehicle can be ordered in 288 configurations.

c.Jeffrey can make 192 different outfits.

a. To find the number of different license plates that can be printed, we need to calculate the possibilities for each character position.

For the first two characters, each can be any digit from 0 to 9. So, there are 10 possibilities for each position.

For the next two characters, each can be any letter from A to Z. There are 26 letters in the English alphabet, so there are 26 possibilities for each position.

For the last two characters, each can be any letter from A to Z or any digit from 0 to 9. Since there are 26 letters and 10 digits, there are a total of 36 possibilities for each position.

To calculate the total number of different license plates, we multiply the number of possibilities for each position: 10 (for the first digit) * 10 (for the second digit) * 26 (for the third letter) * 26 (for the fourth letter) * 36 (for the fifth character) * 36 (for the sixth character) = 676,000.

b. To determine the number of configurations, we need to multiply the number of choices for each attribute.

For the exterior color, there are 6 options available.

For the interior color, there are 3 options available.

For the option packages, there are 4 options available.

By multiplying these choices together, we get:

6 (exterior colors) * 3 (interior colors) * 4 (option packages) = 72 configurations.

However, each of these configurations can also be ordered with or without an option package, so we need to double the number of configurations.

Therefore, the total number of configurations is:

72 configurations * 2 (with or without option package) = 144 configurations.

c. To calculate the total number of different outfits Jeffrey can make, we need to multiply the number of options for each item of clothing.

Jeffrey has 2 options for jackets, 3 options for shirts, 4 options for trousers, and 8 options for ties. To find the total number of outfits, we multiply these numbers together:

2 (jackets) * 3 (shirts) * 4 (trousers) * 8 (ties) = 192

This means that Jeffrey can make 192 different outfits by choosing any combination of colors/patterns for his jackets, shirts, trousers, and ties.

The multiplication principle, also known as the counting principle, is used to find the total number of outcomes when multiple choices are made independently. In this case, we are assuming that Jeffrey doesn't care about coordinating the different clothing items, so each item can be chosen freely from its available options.

It's important to note that this calculation assumes that Jeffrey will wear only one jacket, one shirt, one pair of trousers, and one tie at a time. If he were to wear multiple items of the same clothing type simultaneously, the number of outfits would be different.

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Answer:

(2, 0)

Step-by-step explanation:

y = x - 2

y = x² - 3x + 2

Since both equations equal y, you can set the equations equal to each other.

x - 2 = x² - 3x + 2

x = x² - 3x + 4

0 = x² - 4x + 4

0 = (x - 2)(x - 2)

x - 2 = 0

x = 2

Now that you have an x-value, solve for y.

y = x - 2

y = 2 - 2

y = 0

The solution is (2, 0).

The equation that describes a line passing through (4, -1) and perpendicular to y = 2x - 4 is y = 2x +6, y = 2x +6. The correct option is D.

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.

Perpendicular lines have the same negative reciprocal slope as the line they are perpendicular to, which is important information to know.

This indicates that you may calculate the slope of the perpendicular line by taking the slope of the first line, adding a negative sign, and switching the numerator and denominator.

Therefore, the correct option is D. y = 2x +6, y = 2x +6.

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The final answer of the given question is- (4√6 - 4√2) / (-4) = -√6 + √2 .

A quotient is the result obtained from dividing one quantity by another. It is the answer to a division problem and represents how many times one number is contained in another.

To simplify the expression, we can do rationalize of the denominator by multiplying both the numerator and denominator by the conjugate of the denominator:

(2√8) / (4+√12) × (√12-4) / (√12-4)

Simplifying the numerator:

(2√8) × (√12-4) = 22√22√3 - 2×2√2 = 4√6 - 4√2

Simplifying the denominator:

(4+√12) × (√12-4) = 12 - 16 = -4

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The equation to find the amount of space between the end of the wall and the painting is x = 16.9 - 2 * space, where 'x' represents the length of the painting and 'space' represents the unknown space.

To find the amount of space between the end of the wall and the painting, we need to subtract the length of the painting from the length of the wall and divide it by 2.

Given that the wall is 16.9 feet long and the painting is to be centered, we can assume the painting's length is unknown. Let's represent it as 'x'.

Therefore, the equation becomes (16.9 - x) / 2 = space between the end of the wall and the painting.

To solve for x, we can multiply both sides of the equation by 2 to get rid of the fraction, resulting in 16.9 - x = 2 * (space between the end of the wall and the painting).

Next, we simplify the equation to 16.9 - x = 2 * space.

To isolate x, we subtract 2 * space from both sides, resulting in x = 16.9 - 2 * space.

To determine the exact amount of space between the end of the wall and the painting, we would need to know the value of 'space'. Unfortunately, it is not provided in the question.

In summary, the equation to find the amount of space between the end of the wall and the painting is x = 16.9 - 2 * space, where 'x' represents the length of the painting and 'space' represents the unknown space.

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The x-intercept represents that after 10 in. of rain, there are mosquitoes in that area.

The function is quadratic. The standard form of the quadratic equation is;

f(x) = ax² + bx + c

Here (a, b, c) are the real numbers and (x) is the variable. For the first point (0,0). The equation becomes,

f(0) = a(0)² + b(0) + c

c = 0

For the second point (1,9). The equation becomes,

f(1) = a(1)² + b(1) + 0

9 = a + b   ----(1)

For the third point (3, 21). The equation becomes,

f(3) = a(3)² + b(3) + 0

21 = 9a + 3b   ----(2)

Solving eq 1 and eq 2 simultaneously gives;

a = -1 and b = 10

Thus, our quadratic equation is;

f(x) = -x² + 10x

At f(x) = 0, x = 10.

Thus, x-intercept is at x = 10

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The compound inequality for the given situation is $2.75x + $4.25y ≥ $65 and $2.75x + $4.25y ≤ $75, where x represents the number of daylight cameras and y represents the number of flash cameras.

To solve this compound inequality, we need to find the values of x and y that satisfy both conditions. The inequality $2.75x + $4.25y ≥ $65 represents the lower bound, ensuring that the total cost of the cameras is at least $65. The inequality $2.75x + $4.25y ≤ $75 represents the upper bound, making sure that the total cost does not exceed $75.

To list the solutions involving whole numbers of cameras, we need to consider integer values for x and y. We can start by finding the values of x and y that satisfy the lower bound inequality and then check if they also satisfy the upper bound inequality. By trying different combinations, we can determine the possible solutions that meet these criteria.

After solving the compound inequality, we find that the solutions involving whole numbers of cameras are as follows:

(x, y) = (10, 10), (11, 8), (12, 6), (13, 4), (14, 2), (15, 0), (16, 0), (17, 0), (18, 0), (19, 0), (20, 0).

These solutions represent the combinations of daylight and flash cameras that fulfill the requirements of buying exactly 20 cameras and spending between $65 and $75.

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To estimate the total weight of air inside the tire, we can use the ideal gas law and the given information about the tire's pressure, volume, and temperature.

First, let's convert the tire pressure from pounds per square inch (lbf/in²) to pascals (Pa). We have 32 lbf/in², which is equivalent to 2.21 x 10⁵ Pa.

Using the ideal gas law, PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature in Kelvin, we can solve for the number of moles of air in the tire.

Since the tire is at sea level and the pressure is above the ambient atmosphere, we can assume that the pressure inside the tire is the sum of the atmospheric pressure and the pressure increase due to inflation. So, the total pressure inside the tire is (1.01 x 10⁵ Pa + 2.21 x 10⁵ Pa).

Next, we need to convert the temperature from Celsius to Kelvin. We have 24°C, which is equivalent to 297 K.

Now, we can rearrange the ideal gas law equation to solve for the number of moles: n = PV / RT.

Using the calculated values, we can calculate the number of moles of air in the tire. Then, we can multiply the number of moles by the molar mass of air to get the total mass. Finally, we can multiply the mass by the acceleration due to gravity (9.8 m/s²) to obtain the weight of the air in Newtons.

To estimate the total weight of air inside the tire, we use the ideal gas law to calculate the number of moles of air and then convert it to weight by multiplying with the molar mass and acceleration due to gravity.

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Answer:  $500

Step-by-step explanation:

A sells to B at a profit of 10%:    1.10A = B

B sells to C for $577.50 at a profit of 5%:    1.05B = 577.50

Substitute B with 1.10A in the second equation:

1.05(1.10A) = 577.50

       1.155A = 577.50

               A = 500

Answer:

y = x+5

x+2y=16

x+2(x+5)=16

x+2x+10=16

3x+10=16

16. 3x + 10 = 16

3x+10=16

    -10  -10

3x=6

Divide 3 from both sides

x=2

y=x+5

y=2+5

y=7

17. (2,7)

(L2) An inscribed circle is one that encompasses a polygon so that it passes by each of the polygon's vertices.

A circumcircle, not an inscribed circle, is a circle that encircles a polygon at each vertex. A circle that is enclosed within a polygon and intersects each side of the polygon exactly once is said to be inscribed. A circumcircle, on the other hand, is a circle that goes through every vertex of the polygon, with its center located at the point where the perpendicular bisectors of the polygon's sides converge. The greatest circle that can be drawn within a polygon is the circumcircle, while the largest circle that can be drawn inside a triangle is the inscribed circle.

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The multiplication equation to find 5 divided by 1/3 is 5 x 3 = 15.

The division is one of the four basic mathematical operations, the other three being addition, subtraction, and multiplication.

At an elementary level the division of two natural numbers is, among other possible interpretations, the process of calculating the number of times one number is contained within another.

Unlike the other basic operations, when dividing natural numbers there is sometimes a remainder that will not go evenly into the dividend.

Division has two parts dividend and divisor.

Division is not commutative, meaning that a / b is not always equal to b / a.

Division is also not, in general, associative.

Division is traditionally considered as left-associative.

Division is right-distributive over addition and subtraction.

Division is shown in algebra and science by placing the dividend over the divisor with a horizontal line, also called a fraction bar, between them. For example, "a divided by b" can written as:

a/b

Now it is given that,

5 divided by 1/3

This can be expressed as,

5 divided by 1/3 = 5 ÷ 1/3

Since to convert the division of fraction into multiplication, we reciprocate the fraction

So, applying division we get,

5 ÷ 1/3 = 5 x 3

So, the multiplication equation is,

5 x 3

Now multiplying 5 and 3 we get,

5 x 3 = 15

this is the required multiplication equation of 5 divided by 1/3.

Thus, the multiplication equation to find 5 divided by 1/3 is 5 x 3 = 15.

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Answer:jac ganko

Step-by-step explanation:

The given initial-value problem is x(dy/dx)y = 2x + 1, y(1) = 9.

To solve this problem, we first rearrange the equation as (1/y) dy = (2/x + 1/x) dx. We can integrate both sides, which gives us ln|y| = 2ln|x| + ln|x| + b, where b is the constant of integration.

Simplifying this expression, we get ln|y| = 3ln|x| + b. Exponentiating both sides, we obtain |y| = eᵇ * x³. Since y(1) = 9, we substitute x = 1 and y = 9 into the equation, which gives us 9 = eᵇ * 1³, or b = ln 9. Therefore, the solution to the initial-value problem is y = ±9x³.

To solve this initial-value problem, we first rearranged the given equation to put it in a form that we can integrate. We then integrated both sides of the equation, introducing a constant of integration. By substituting the initial value of y, we were able to determine the value of the constant of integration and thus find the final solution to the initial-value problem.

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Answer:

Step-by-step explanation:

45/19 ~ 2.4

Hope that helps!

Answer:

2.4

Step-by-step explanation:

45/19 = 2.4