Rewrite the fraction in the sentence below as a percentage.
19
At a certain wedding,
of the guests were under 65 years old.
20

Answer:

1. ∠YZX = 37°

2. ∠YXZ = 53°

3. XZ = 30 meters

Step-by-step explanation:

1. To solve for an unknown angle, we need to utilize the inverse of a trigonometric function.

⭐What are the inverses of the trigonometric functions?

To know which inverse of the trigonometric functions we use, we have to see the type of side lengths we are given (opposite, adjacent, or hypotenuse)

We are given side length XY, which is opposite of ∠YZX, and we are given side length YZ, which is adjacent to ∠YZX. Therefore, we will use \(tan^-1 (opposite/adjacent) =\)

Substitute the values we are given into the function:

\(tan^-1 (18/24) =\)

Compute this equation using a scientific calculator. I recommend using the Desmos Scientific Calculator:

\(= 37\)

∴ ∠YZX = 37°

2. We already know 2 angles (∠YZX = 37°, and ∠ZYX = 90°) Therefore, to find ∠YXZ, we have to utilize the triangle sum theorem.

⭐ What is the triangle sum theorem?

Substitute the angles we know already (∠YZX and ∠ZYX), and solve for ∠YXZ.

\(< YZX + < ZYX + < YXZ = 180\)

\(37 + 90 + YXZ = 180\)

\(127 + YXZ = 180\)

\(< YXZ = 53\)

∴ ∠YXZ = 53°

3. We already know 2 side lengths (ZY = 24 meters, and XY = 18). Therefore, to find XZ, we have to utilize the Pythagoras' theorem.

⭐ What is the Pythagoras' theorem?

Substitute the values of the side lengths into the formula:

\((XZ)^2 = (XY)^2 + (ZY)^2\)

\((XZ)^2 = 18^2 + 24^2\)

Solve for XZ:

\((XZ)^2 = 324 + 576\)

\((XZ)^2 = 900\)

\(\sqrt{(XZ)^2} = \sqrt{900}\)

\(XZ = 30\)

∴ XZ = 30 meters

The minimum value of the product xy is -2. The correct option is d.

To find the minimum value of the product xy, we need to find the minimum value of y and then multiply it by the corresponding x value. In this case, the given equation is y = 4x² - 3.

To determine the minimum value of y, we observe that the coefficient of the x² term is positive (4), indicating a U-shaped parabola that opens upward. Since the parabola opens upward, the vertex of the parabola represents the minimum point.

The x-coordinate of the vertex can be found using the formula: x = -b / (2a), where a and b are the coefficients of the x² and x terms, respectively. In this equation, a = 4 and b = 0. Plugging these values into the formula, we get x = -0 / (2 * 4) = 0.

To find the corresponding y-coordinate, we substitute the value of x = 0 into the equation: y = 4(0)² - 3 = -3.

Therefore, the minimum value of y is -3. Multiplying this minimum y value by the corresponding x value, we get xy = 0 * (-3) = 0.

Therefore the correct option is d.

However, none of the answer options provided includes 0 as a choice. Instead, the closest option is -2 (option d). Although -2 is not the minimum value, it is the closest available option in the given choices.

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A correlation does not simply mean that two or more variables are present together. The statement is false.

Correlation can be positive, negative, or zero.
Positive correlation means that as one variable increases, the other variable also increases. For example, there is a positive correlation between the amount of studying and exam scores.

Negative correlation means that as one variable increases, the other variable decreases. For example, there is a negative correlation between the number of hours spent watching TV and physical activity levels.

Zero correlation means that there is no relationship between the variables. For example, there is zero correlation between the number of pets someone owns and their height.

It's important to note that correlation does not imply causation. Just because two variables are correlated does not mean that one variable causes the other to change.

To summarize, a correlation measures the statistical relationship between variables, whether positive, negative, or zero. It is not simply the presence of two or more variables together. The statement is false.

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The inverse Laplace transform of G(s) is:

g(t) = (2/3) \(e^{-t}\) - (1/3) \(e^{-2t}\) - (1/3) \(e^{-3t}\)

The inverse Laplace transform of the function G(s) using the partial fraction expansion coefficients obtained from MATLAB, we need to express G(s) in terms of partial fractions.

G(s) = (2s³ + 5s² + 3s + 6) / (s³ + 6s² + 11s + 6)

The denominator of G(s) can be factored as:

s³ + 6s² + 11s + 6 = (s + 1)(s + 2)(s + 3)

Let's write G(s) in terms of partial fractions as follows:

G(s) = A / (s + 1) + B / (s + 2) + C / (s + 3)

To find the values of A, B, and C, we can multiply both sides of the equation by the denominator and equate the coefficients of like powers of s.

(2s³ + 5s² + 3s + 6) = A(s + 2)(s + 3) + B(s + 1)(s + 3) + C(s + 1)(s + 2)

Expanding the right side and collecting like terms, we have:

2s³ + 5s² + 3s + 6 = (A + B + C)s² + (5A + 4B + 3C)s + (6A + 3B + 2C)

Comparing the coefficients of like powers of s, we get the following equations:

A + B + C = 0

5A + 4B + 3C = 5

6A + 3B + 2C = 3

Solving these equations, we find:

A = 2/3

B = -1/3

C = -1/3

Therefore, the partial fraction expansion of G(s) becomes:

G(s) = (2/3) / (s + 1) - (1/3) / (s + 2) - (1/3) / (s + 3)

Now, we can use the linearity property and known Laplace transforms to find the inverse Laplace transform of each term.

Taking the inverse Laplace transform, we have:

g(t) = (2/3) \(e^{-t}\) - (1/3) \(e^{-2t}\) - (1/3) \(e^{-3t}\)

Therefore, the inverse Laplace transform of G(s) is:

g(t) = (2/3) \(e^{-t}\) - (1/3) \(e^{-2t}\) - (1/3) \(e^{-3t}\)

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Answer

D. Angle 8

Step-by-step explanation:

Answer:

its A im really smart and because im smart

Considering the definition of perpendicular line, the equation of the perpendicular line to the graph of 4x+3y=9 and passes through (-2,3) is y= 3/4x + 9/2.

A linear equation o line can be expressed in the form y = mx + b

where

Perpendicular lines are lines that intersect at right angles. If you multiply the slopes of two perpendicular lines, you get –1.

In this case, the line is 4x+3y=9. Expressed in the form y = mx + b, you get:

3y= 9 - 4x

y= (-4x + 9)÷ 3

y= -4/3x +3

If you multiply the slopes of two perpendicular lines, you get –1. In this case, the line has a slope of  -4/3. So:

-4/3× slope perpendicular line= -1

slope perpendicular line= (-1)÷ (-4/3)

slope perpendicular line= 3/4

The line passes through the point (-2, 3). Replacing in the expression for perpendicular line:

3= 3/4× (-2) + b

3= -3/2 + b

3 + 3/2 = b

9/2= b

Finally, the equation of the perpendicular line is y= 3/4x + 9/2.

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The value of x is -4.

To find the value of x, we need to set up an equation based on the given information.

The perimeter of a triangle is calculated by adding the lengths of all three sides, while the perimeter of a rectangle is obtained by adding the lengths of all four sides.

In the triangle, the lengths of the sides are 6x ft, 4(2x - 1) ft, and 6x ft.

Therefore, the perimeter of the triangle is:

6x + 4(2x - 1) + 6x = 16x - 4 ft.

In the rectangle, the lengths of the sides are 2(3x + 1) ft and 3x ft.

Thus, the perimeter of the rectangle is:

2(2(3x + 1) + 3x) = 2(6x + 2 + 3x) = 2(9x + 2) = 18x + 4 ft.

Since the perimeter of the triangle is equal to the perimeter of the rectangle, we can set up the equation:

16x - 4 = 18x + 4.

To solve for x, we'll isolate the variable terms on one side of the equation:

16x - 18x = 4 + 4,

-2x = 8,

x = -4.

Therefore, the value of x is -4.

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Answer:

y = (x+2)x7

Step-by-step explanation:

Answer:

y = 7x + 14

Step-by-step explanation:

1. Add 2 to x = x + 2

2. Multiply x + 2 by 7 = 7(x + 2)

3. Simplify: y = 7x + 14

The vertical component of the initial velocity will basically decide where the vertices will be. that is how the initial velocity is related to the vertex of the parabola.

A parabola is a symmetrical curve that is formed by the intersection of a plane and a cone, where the plane is parallel to one of the cone's generating lines. The shape of a parabola is similar to that of a U-shaped curve, but with a sharper curve near the bottom of the U.

The parabola has several important properties, including a focus and a directrix. The focus is a point on the axis of symmetry of the parabola that is equidistant from every point on the curve. The directrix is a line that is perpendicular to the axis of symmetry and is equidistant from every point on the curve.

The equation of a parabola in standard form is y = ax² + bx + c, where "a" determines the direction and shape of the parabola, "b" determines the horizontal shift of the parabola, and "c" determines the vertical shift of the parabola.

The initial velocity will have two component basically, a horizontal component and a vertical component. The vertical component will decide how high the object will go, or in other words the vertical component of the velocity will decide the position of the vertex of the parabolis path which the object is going to follow.

When the vertical component of the velocity becomes 0, the object will be at it's maximum height (i.e the object will be at the vertex of the parabola)

The vertical component of the initial velocity will basically decide where the verties will be. that is how the initial velocity is related to the vertex of the parabola.

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In the given scenario, the average current produced within the loop is approximately 2.13 A.

We can begin by computing the change in magnetic flux across the loop as it expands to determine the average current generated within the loop.

The following equation provides the magnetic flux across a loop:

Φ = B * A * cos(θ)

ΔΦ = B * ΔA

ΔA = A₂ - A₁ = π * (1.00 m)² - π * (0.40 m)² = π * (1.00² - 0.40²) = π * (1.00 + 0.40)(1.00 - 0.40) = π * (1.40)(0.60) = 0.84π m²

So,

ΔΦ = B * ΔA = (24 mT) * (0.84π m²) = 20.25π m²·T

emf = ΔΦ / Δt = (20.25π m²·T) / (1.0 s) = 20.25π V

As:

emf = I * R

So, again

I = emf / R = (20.25π V) / (30 Ω) ≈ 2.13 A

Thus, the average current produced within the loop is approximately 2.13 A.

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Answer:

I believe it's 960

Step-by-step explanation:

Rect. Prism volume = 12 * 10 * 7 = 840

Pyramid = (12 * 10 * 3) / 3 = 120

Total = 840 + 120 = 960

Answer:

1/20

Step-by-step explanation:

25 prizes out of 500=25/500=1/20

Answer:

12 12 18 1816 2888

Step-by-step explanation:

Just add on top and subtract on bottom

We can conclude that the mean of Set A is larger than the mean of Set B, but we cannot determine whether the standard deviation of Set A is larger than the standard deviation of Set B or vice versa.

To compare the means of the two sets, we look at the average value of the scores. In Set A, the mean is calculated as (-2 + 2 + 5 + 8 + 8) / 5 = 4.2. In Set B, the mean is calculated as (-2 + 5 + 5 + 5 + 8) / 5 = 4.2. Therefore, the mean of Set A is equal to the mean of Set B.

To compare the standard deviations of the two sets, we look at the dispersion or spread of the scores. However, from the given information, we cannot directly determine the standard deviations of the sets. Therefore, we cannot conclude whether the standard deviation of Set A is larger than the standard deviation of Set B or vice versa.Based on these observations, we can conclude that only statement A is correct: the mean of Set A is larger than the mean of Set B.

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C, D , E, F are correct The following statements are correct:

c) With the input size N increasing, some of these runtime functions grow at different rates.

d) With the input size N increasing, runtime functions T(N) = N, T(N) = N + 999, and T(N) = 5 * N grow at the same scale.

e) With the input size N increasing, the growth rate of runtime function T(N) = 999 is constant.

f) Based on the scalability of growth rates of all these functions, we could use big O notation to categorize or classify these functions:

- T(N) = 999 is O(1) (The growth function is constant)

- T(N) = log₂N is O(logN) (The growth function is logarithmic)

- T(N) = N is O(N) (The growth function is linear)

- T(N) = N+999 is O(N)

- T(N) = 5*N is O(N)

- T(N) = N*log₂N is O(NlogN)

- T(N) = N² is O(N²)

Note: Statement b is incorrect because not all of these runtime functions grow at the same rate as the input size N increases. For example, T(N) = 999 does not change as N increases, while T(N) = N^2 grows much faster than T(N) = N as N increases.

Statement a is also incorrect because T(N) = 999 does not grow with increasing N. Its value remains constant at 999 for all N.

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Question

Which statements are correct about these following seven runtime functions :

T(N) = 999

T(N) = log2N

T(N) = N

T(N) = N + 999

T(N) = 5 * N

T(N) = N * log2N

T(N) = N2

Hints: Take a look at the  of these seven functions (growth rate of T(N) is defined as (T(N2) - T(N1))/T(N1) or (T(N2) - T(N1))/(N2-N1):

O(1) O(logN) O(N) O(Nlog N) O( N2)

N Alg. A T(N)=999 Alg. B T(N)=log2N Alg. C T(N)=N Alg. D T(N)=N+999 Alg. E T(N)=5*N Alg. F T(N)=Nlog2N Alg. G T(N)=N2

10000 999 13.287712 10000 10999 50000 132877.1238 1E+08

20000 999 14.287712 20000 20999 100000 285754.2476 4E+08

40000 999 15.287712 40000 40999 200000 611508.4952 1.6E+09

80000 999 16.287712 80000 80999 400000 1303016.99 6.4E+09

Multiple Correct Answers:

a) With the input size N increasing, all these runtime functions grows.

b) With the input size N increasing, some of these runtime functions grow at the same rate.

c) With the input size N increasing, some of these runtime functions grow at the different rates.

d) With the input size N increasing, runtime functions T(N) = N, T(N) = N + 999, and T(N) = 5 * N grow at the same scale.

e) With the input size N increasing, the growth rate of runtime function T(N) = 999 is constant.. With the input size N increasing, the growth rate of T(N) = 999 is constant.

f) Based on the scalability of growth rates of all these functions, we could use big O notation to categorize or classify these functions:

T(N) = 999 = O(1) (The growth function is constant)

T(N) = log2N = O(log2N) (The growth function is logarithmic)

T(N) = N = O(N) (The growth function is linear)

T(N) = N+999 = O(N)

T(N) = 5*N= O(N)

T(N) = 5*N + 999 = O(N)

Answer:

-3x-5 x-4 I this work good luck

Answer:

-(3x-5) (x-4)

Step-by-step explanation:

-3x^2+17x-20

Factor -1 out of -3x^2

-(3x^2)+17x-20

Factor -1 out of 17x

-(3x^2)-(-17x)-20

Rewrite -20 as -1(20)

-(3x^2)-(-17x)-1(20)

Factor -1 out of -(3x^2)-(-17x)

-(3x^2-17x)-1(20)

Factor -1 out of -(3x^2-17x)-1(20)

-(3x^2-17x+20)

Factor.

-((3x-5)(x-4))

Final Anwser:

-(3x-5) (x-4)

Answer:

144 i multiplied 12x12=144

Step-by-step explanation:

Answer:

h = 7

Step-by-step explanation:

We are given the equation A=bh , and need to work out the unknown variable .

So we substitute the values of A and b given :

70 = (10)(h)

70 = 10 × h

Divide both sides by 10 :

70 ÷ 10 = h

h = 7

Hope this helped and have a good day

Answer:

There are infinite solutions for this plug in any number for t, and you will always get 0

Step-by-step explanation:

Hope this helps:)

Answer:

y= 2x +1/3

Step-by-step explanation:

3y= 6x+1

divide the whole equation by 3 to isolate y

y= 2x+1/3

Following are the calculation to the given value:

Given:

\(3y=-6x+1\)

To find:

\(y=?\)

Solution:

\(\to 3y=-6x+1\\\\\to y=-\frac{6x+1}{3}\\\\\to y=-\frac{6x}{3}+\frac{1}{3}\\\\\to y=-2x+\frac{1}{3}\\\\\)

The final value of y is "\(=-2x+\frac{1}{3}\\\\\)".

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Answer:

B. 7−10; 11−14; 15−18; 19−22

Step-by-step explanation:

Step-by-step explanation:

Perimeter = Sum of all sides

\(\longrightarrow\) 11 + 5 + 10 + 2

\(\longrightarrow\) 16 + 12

\(\longrightarrow\) 28 cm

Area of Rectangule = Length × Breadth

\(\longrightarrow\) 2 × 5

\(\longrightarrow\) 10 in²

Volume of cube = (Side)³

\(\longrightarrow\) (1)³

\(\longrightarrow\) 1 ft³

Perimeter = Sum of sides

\(\longrightarrow\) 4 + 5 + 5

\(\longrightarrow\) 14 cm

Area of triangle = 1/2 × Height × Base

\(\longrightarrow\) 1/2 × 5 × 8

\(\longrightarrow\) 5 × 4

\(\longrightarrow\) 20 mm²

Answer:

x = 14

Step-by-step explanation:

The sum of the interior angles of a six sided figure is 720

10x + 8x-16+12x-8 +7x+2 +9x+4 +6x+10 = 720

Combine like terms

52x-8=720

Add 8 to each side

52x-8+8 = 720+8

52x = 728

Divide by 52

52x/52 = 728/52

x = 14

Step-by-step explanation:

here's the answer for thy question

Answer:

no

Step-by-step explanation:

21 dose not = 21x so you got the wrong aswer

Answer:

no.

Step-by-step explanation:

Answer:

The answer would be A.

Step-by-step explanation:

You would take 9 x 10^5 = 900000 and divide that by 16 to get 56250.

After that, you move the decimal over by 4 to make it a number with only one number above zero in front of the decimal to make 5.625 (negate the 0 bc it does not mean anything after you moved the decimal over)

Since you moved it over by four places, the exponent next to the 10 will be 4, making the final answer 5.625 x 10^4

Good luck and hope this helps!!

Considering supplementary angles, we have that the measures of x and y are given as follows:

We also have that x and y have different measures, hence the student is incorrect, and x and 40º are complementary.

Supplementary angles are angles whose measures add to 180º.

The three internal angles of a triangle are supplementary, hence we can find x as follows:

90 + 40 + x = 180

130 + x = 180

x = 50º.

Angles x, y and 50º are also supplementary, hence:

x + y + 50 = 180

50 + y + 50 = 180

y = 80º.

The angles with measures x and 40º are complementary, as they add to 90º.

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Answer:

sum up to 130 but not equal

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

10 cm

Step-by-step explanation: