I NEED HELP

Thank you​

Answer:

16

Step-by-step explanation:

let the ratio be 3x and 2x

3x=24

x=8

then we have the value of x

2x

2×8

16

Answer:

The vertex form is:

\(f(x)=-2(x-4)^2+2\)

Where the vertex of the function is (4, 2).

Step-by-step explanation:

We want to find the vertex and the vertex form of the quadratic function:

\(f(x)=-2x^2+16x-30\)

We have two methods of converting from standard form to vertex form: (1) by using the vertex formulas or (2) by completing the square.

Method 1) Using Formulas:

First, note that the leading coefficient of our function is -2.

The vertex of a quadratic equation is given by the formulas:

\(\displaystyle \text{Vertex}=\left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)\)

In this case, a = -2, b = 16, and c = -30. Find the x-coordinate of the vertex:

\(\displaystyle x=-\frac{(16)}{2(-2)}=\frac{-16}{-4}=4\)

In order to find the y-coordinate of the vertex, we substitute this value back in. Hence:

\(f(4)=-2(4)^2+16(4)-30=2\)

Therefore, our vertex is (4, 2).

Vertex form is:

\(\displaystyle f(x)=a(x-h)^2+k\)

Where a is the leading coefficient and (h, k) is the vertex.

Substitute. Our leading coefficient is -2 and our vertex is (4, 2). Therefore:

\(\displaystyle f(x)=-2(x-4)^2+2\)

Method 2) Completing the Square:

To complete the square, we first factor out the leading coefficient from the first two terms:

\(f(x)=-2(x^2-8x)-30\)

Then, we divide the coefficient of the b term by half and square it. This yields:

\(\displaystyle \left(\frac{-8}{2}\right)^2=16\)

We will add this value inside of the parentheses. Since we added 16 inside the parentheses, we will subtract 16 outside of the parenthese to remain the equality of the function. However, since the parentheses is multiplied by -2, we technically added -2(16) = -32 inside. So, we will subtract -32 outside. Thus:

\(f(x)=-2(x^2-8x+16)-30-(-32)\)

Simplify:

\(f(x)=-2(x^2-8x+16)+2\)

Factor using the perfect square trinomial:

\(f(x)=-2(x-4)^2+2\)

We acquire the same result.

Answer:

C

Step-by-step explanation:

The teachings of Buddha

The original equation and the orthogonal equation are the same, we can conclude that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves.

To show that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves, we need to take the derivative of the equation and set it equal to -1/b^2, the slope of the orthogonal line.

First, we take the derivative of the equation with respect to x:

2x/a^2 = -2y/b^2 * dy/dx

Simplifying, we get:

dy/dx = -b^2*x/a^2*y

Now, we set this equal to -1/b^2:

-b^2*x/a^2*y = -1/b^2

Cross-multiplying and simplifying, we get:

x/a^2*y = 1/b^2

Finally, we can rearrange this equation to get:

y = b^2*x/a^2

This equation represents the orthogonal family of curves to the original family of conics. Since the original equation and the orthogonal equation are the same, we can conclude that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves.

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The proper way to move on coordinate surface from point A's location to point b is to move 6 units to the right and 1 unit to the up. The correct option is a.

What does the word "coordinate" mean in mathematics?

Coordinates are a pair of numbers (also known as Cartesian coordinates), or occasionally a letter and an integer, that identify a particular point on a grid,also known as a coordinate system. The \(x\) -axis (horizontal) and \(y\) -axis are the two vectors on a coordinate plane, which has four quadrants. (vertical).

On the coordinate surface, we can use the following methods to move from Point A to Point B:

Point A, which is two units to the right of the Centre and nine units up, is a good place to start.

Point C, which is situated at Move five floors to the toward the right and five units up to get there. (5, 5).

Move three units to your right and three units up from Point C to Point B, which is situate

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Answer:

B should be your answer

Step-by-step explanation:

I had this question.

The angles at point A need to be congruent. Option B is correct.

In congruent geometry, the shapes that are so identical. can be superimposed on themselves.

Here,
For the given figure,
Triangle ABC and Triangle ADC
AC = AC [common side]
Angle B = Angle D
Angle BAC = Angle DAC

Triangle ABC ≅Triangle ADC by SAA postulate.

Thus, the angles at point A need to be congruent. Option B is correct.

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The solution to the differential equation dy/dt + 2y = 0 where y(0) = 3 is y = 3e^(-2t).

The solution to the differential equation dy/dt + 2y = 0 can be found by separating the variables and integrating both sides.

First, separate the variables:
dy/dt = -2y

Next, integrate both sides:
∫dy/y = ∫-2dt

This gives us:
ln(y) = -2t + C

Now, solve for y:
y = e^(-2t+C)

Since we know that y(0) = 3, we can plug in 0 for t and 3 for y to solve for C:
3 = e^(C)
C = ln(3)

So the solution is:
y = e^(-2t+ln(3))

Simplifying further gives us:
y = 3e^(-2t)

Therefore, the solution to the differential equation dy/dt + 2y = 0 where y(0) = 3 is y = 3e^(-2t).

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According to question,  (f^-1)'(3) is approximately 0.0414.

To find (f^-1)'(a), we can use the formula:

(f^-1)'(a) = 1 / f'(f^-1(a))

First, we need to find f'(x):

f(x) = x^2 * 5sin(x) * 3cos(x)

f'(x) = (2x * 5sin(x) * 3cos(x)) + (x^2 * 5cos(x) * 3cos(x)) + (x^2 * 5sin(x) * -3sin(x))

= 30xsin(x)cos(x) + 15x^2cos^2(x) - 15x^2sin^2(x)

= 30xsin(x)cos(x) + 15x^2(cos^2(x) - sin^2(x))

= 15x(2sin(x)cos(x) + xcos(2x))

Next, we need to find f^-1(a), where a = 3:

f(x) = 3

x^2 * 5sin(x) * 3cos(x) = 3

x^2sin(x)cos(x) = 1/5

We can't solve for x algebraically, so we'll have to use numerical methods. Using a graphing calculator or a computer algebra system, we can find that f^-1(3) is approximately 0.71035.

Now we can substitute these values into the formula to find (f^-1)'(a):

(f^-1)'(3) = 1 / f'(f^-1(3))

= 1 / f'(0.71035)

≈ 0.0414

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Yao Ming was 24 inches taller than Earl Boykins, as 7 feet is equal to 84 inches and 5 feet 5 inches is equal to 65 inches. Therefore, 84 - 65 = 19 inches, and Ming was 19 inches taller than Boykins.

Yao Ming, standing at 7'5" (7 feet 5 inches), was significantly taller than Earl Boykins, who was 5'5" (5 feet 5 inches) tall in the NBA in 2003. To calculate the difference in height, first convert their heights to inches: Yao Ming = (7 * 12) + 5 = 89 inches and Earl Boykins = (5 * 12) + 5 = 65 inches. Now subtract Boykins' height from Ming's: 89 - 65 = 24 inches. Yao Ming was 24 inches taller than Earl Boykins.

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\(\boxed{\large{\bold{\blue{ANSWER~:) }}}}\)

πr is the formula for the __of a circle.

Answer:

ANswer ig

Step-by-step explanation:

1/12+1/3=1/12+[4]/12=5/12

6\12. 1\2

I have to add mor but that is all so I’m writing this

Answer:

oh thats cool

Step-by-step explanation:

The zero of the function is 3, and the linear function can be represented as y = -5x + 15. (option c).

To find the zero of the function, we need to determine where the function intersects the x-axis. The x-coordinate of any point on the x-axis is always 0. Therefore, to find the zero of the function, we need to find the value of x when y is equal to zero.

We can use the given point and slope to write the equation of the linear function in slope-intercept form as:

y = -5x + b

To find the value of b, we can substitute the x and y values of the given point (2,5) into the equation and solve for b:

5 = -5(2) + b

5 = -10 + b

b = 15

Now that we know the value of b, we can write the equation of the function as:

y = -5x + 15

To find the zero of the function, we need to set y to zero and solve for x:

0 = -5x + 15

5x = 15

x = 3

Hence the correct option is (c).

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A) Mean = 5.8

Median = 5.5

mode = 5

B) Mean = 127.5

Median = 28

mode = 11 -12 scores

3, 4, 5, 5, 5,6,6, 7, 8,9

A) Mean = 3+ 4+ 5+ 5+ 5+ 6+ 6+ 7 + 8 + 9

                                   10

Mean = 58/10

         =   5.8

3, 4, 5, 5, 5,6,6, 7, 8,9

Median = 5 + 6

                  2

Median = 11/2

             = 5.5

3, 4, 5, 5, 5,6,6, 7, 8,9

mode = 5

B) Scores           1 -10, 11- 20, 21 -30, 31-40, 41 -50

   Mid- scores    5.5,   15.5  ,  25.5  ,35.5 ,  45.5

  Frequencies    8     ,   14   ,  12     ,   9     ,  7

Mean of group data = Sum of (Interval midpoint * Freq )

                                         Total Frequency

Mean of group data =  5.5 +  15.5 + 25.5 + 35.5 + 45.5

                                                    50

Mean of group data =  127.5

Median = Calculate a running total of the frequencies - the first interval that is above half the total contains the median.

Median =  50 - ( 8 + 14)

Median = 50 - 22

            = 28

Mode = The largest frequency and the corresponding value is the modal value or modal class.

Mode = 11 -12 scores

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The value of the given and completed expression in this problem is

-1

Combined operations are defined as a set of operations applied to the same problem, for example addition, subtraction, multiplication, are frequently used in arithmetic polynomials.

In this case we have an arithmetic polynomial.

We complete the expression as follows:

1 + 2 - 3 + 4 - 5

We group the positive terms on one side and negative terms on the other:

The value of the expression (1 + 2 - 3 + 4 - 5) is -1

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Answer:

Step-by-step explanation:

3x + 18 = 48

Bringing like terms on one side

3x = 48 - 18

3x = 30

x = 30/10

x = 3

Answer:

x = 10

Step-by-step explanation:

Subtract 18 from both sides.

3x=48-18

Simplify  48-18 to 30.

3x=30

Divide both sides by 3.

x= 30/3

Simplify  30/3\ to 10

x=10

x=10

​

Answer:

It's the third option

Step-by-step explanation:

One sides needs to have Lunches and the other needs to have how many is sold

It also needs to be clear and option 2 Is not as clear as 1 and 3

the only options that leaves us is 1 and 3

option 1 has the wrong labels

so.it is OPTION 3

The system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.

A line process has three processing stages with the characteristics given below:

Stage A B C Unit processing time(minutes) 1 2 3 Number of machines 1 1 2 Machine availability 90% 100% 100% Process yield at stage 100% 100% 100%

To determine the system capacity and the bottleneck stage and utilization of Stage 3:

The system capacity is calculated by the product of the processing capacity of each stage:

1 x 1 x 2 = 2 units per minute

The bottleneck stage is the stage with the lowest capacity and it is Stage A. Therefore, Stage A has the lowest capacity and determines the system capacity.The utilization of Stage 3 can be calculated as the processing time per unit divided by the available time per unit:

Process time per unit = 1 + 2 + 3 = 6 minutes per unit

Available time per unit = 90% x 100% x 100% = 0.9 x 1 x 1 = 0.9 minutes per unit

The utilization of Stage 3 is, therefore, (6/0.9) x 100% = 666.67%.

However, utilization cannot be greater than 100%, so the actual utilization of Stage 3 is 100%.

Hence, the system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.

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Answer:

b

Step-by-step explanation:

x is (-16,0)

y is (0.-4)

Answer:

\(\dfrac{3}{11}\)

Step-by-step explanation:

Given that:

A drawer contains 6 pink and 5 yellow gloves.

Two gloves are randomly drawn without replacement.

To find:

The probability that the two gloves drawn are both pink.

Solution:

First of all, let us have a look at the formula for Probability of an event E:

Formula for probability of an event E can be observed as:

\(P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}\)

Here, number of favorable cases are to draw 2 pink gloves out of 6, which is equal to:

\(_6C_2 = \dfrac{6\times 5}{2} = 15\)

Here, Total number of cases are to draw 2 gloves out of 11, which is equal to:

\(_{11}C_2 = \dfrac{11\times 10}{2} = 55\)

Now, the required probability is:

\(P(2\ pink\ gloves) = \dfrac{15}{55}\\\Rightarrow P(2\ pink\ gloves) = \dfrac{3}{11}\)

Therefore, the answer is:

\(\dfrac{3}{11}\)

Seth must attend the move 17 times

The difference in price of matinee is

= price of matinee normally - price of matinee with movie pass

=  3.50 - 1

= 2.5

We divide to find the number of times

= 40 / 2.5

= 16

In other that Seth's father benefits Seth must attend at least 17 times

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Answer:

The median of the scores in this stem-and-leaf plot is 78

Step-by-step explanation:

The total data set represented by Stem and leaf in order from the least to the greatest are as following:

58, 59, 64, 64 , 66, 68, 72, 74, 75, 76, 78, 79, 83, 84, 86, 87, 88, 91, 93, 93, 95

The number of data is 21

The median of the data at the place number 11

So, median = 78

Answer:

247

Step-by-step explanation:

From the question given above, the following data were obtained:

nth term (Tₙ) = 5n – 3

Number of term (n) = 50

50th term (T₅₀) =?

The 50th term can be obtained as follow:

Tₙ = 5n – 3

T₅₀ = 5(50) – 3

T₅₀ = 250 – 3

T₅₀ = 247

Therefore, the 50th term is 247.

(a) The linear density (mass/length) rho has SI units of kg/m. Since rho = a + bx, the SI units of a must be kg/m and the SI units of b must be kg/m^2.
(b) To find the mass of the rod, we need to integrate the linear density function over the length of the rod:
m = ∫₀ᴸ ρ(x) dx
Substituting in ρ(x) = a + bx:
m = ∫₀ᴸ (a + bx) dx
m = [ax + (1/2)bx²] from 0 to L
m = aL + (1/2)bL²
Therefore, the mass of the rod in terms of a, b, and L is m = aL + (1/2)bL².

(a) In this problem, rho (ρ) represents linear density, which has units of mass per length. In SI units, mass is measured in kilograms (kg) and length in meters (m). Therefore, the units of linear density are kg/m. Since ρ = a + bx, the units of a and b must be consistent with this equation. The units of a are the same as those of ρ, so a has units of kg/m. For b, since it is multiplied by x (which has units of meters), b must have units of kg/m² to maintain consistency in the equation.

(b) To find the mass of the rod, we need to integrate the linear density function over the length of the rod (from x=0 to x=L). Let's set up the integral:

Mass (M) = ∫(a + bx) dx, with limits from 0 to L

Now, we can integrate:

M = [a * x + (b/2) * x²] evaluated from 0 to L

Substitute the limits:

M = a * L + (b/2) * L²

So, the mass of the rod in terms of a, b, and L is:

M = aL + (bL²)/2

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Answer:

Not a function.

Step-by-step explanation:

Due to the fact that an element from the first set of components is associated with one and only one element from the other. In this case, as it is a circumference, the elements match with more than one element of the other set. I'll give you an example.

Note: I've tried to keep it as simple as possible, and I'm not natively English so I don't really know how some things are mentioned, but I've also made a picture representation and I think it simplifies.

The equation that represents the total number of jars of tomato sauce remaining will be y = - 0.25x + 1.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

At an eatery containers of pureed tomatoes are put away in an enclosed storage space. Each case contains 8 containers of pureed tomatoes. A cook utilizes 2 containers from 1 of the crates.

Let 'x' be the number of boxes and 'y' be the tomato sauce remaining in the pantry. Then the equation is given as,

y = - (2 / 8)x + 1

y = - 0.25x + 1

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