If the universal set U={0,1,2,3,4,5,6,7,9, 11) has two subsets A={1,3,5,11) and B={0,2,3,9,11). Find: Α n Α

Answer:

\(=13a^{437}+12a\)

Step-by-step explanation:

\(\left(a^{413}a^{22}a+1\right)\cdot \:13a-2a+1\cdot \:a\)

\(\mathrm{Add\:similar\:elements:}\:-2a+1\cdot \:a=-a\)

\(=\left(a^{413}a^{22}a+1\right)\cdot \:13a-a\)

\(=\left(a^{436}+1\right)\cdot \:13a-a\)

\(=13a\left(a^{436}+1\right)-a\)

\(=13a^{437}+13a-a\)

\(\mathrm{Add\:similar\:elements:}\:13a-a=12a\)

\(=13a^{437}+12a\)

The area of kite ABCD is equal to half the product of the sum of its diagonals and the height between them.

Since kite ABCD is divided into two triangles by its diagonals, we can find the area of the kite by finding the sum of the areas of these two triangles.

Let AC and BD be the diagonals of the kite, intersecting at point E. Then triangle ABE and triangle CDE are the two triangles formed by the diagonals.

The area of a triangle can be found using the formula: Area = (base x height) / 2

For triangle ABE, the base is AB and the height is the distance from E to the line containing AB. Similarly, for triangle CDE, the base is CD and the height is the distance from E to the line containing CD.

Since the diagonals of a kite are perpendicular and bisect each other, the distance from E to the line containing AB is the same as the distance from E to the line containing CD.

Therefore, the heights of the two triangles are equal.

So, we can find the area of ABCD as follows:

Area of ABCD = Area of triangle ABE + Area of triangle CDE

= (AB x height)/2 + (CD x height)/2

= (AB + CD) x height / 2

Therefore, the area of kite ABCD is equal to half the product of the sum of its diagonals and the height between them.

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The equation using the identity rule is a^3 - 3a^2b + 3ab^2 - b^3

The equation (a-b)^3 can be expanded using the binomial theorem, where the variables are the two numbers (a and b),

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

(a-b)^3

When expanded, we have

a^3 - 3a^2b + 3ab^2 - b^3

Hence, the expansion is a^3 - 3a^2b + 3ab^2 - b^3

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Answer:

G

Step-by-step explanation:

you just see the place value of the number you are multiplying by and you you put the place value. For example ( 3× 0.01)   is going to be ( 0.03) if it makes it easier just take the 3 and substitute it for the 1.

Hope this helped  : )

Answer:

$1,489.88 (nearest cent)

Step-by-step explanation:

To calculate gross pay, multiply the number of hours worked by the pay per hour.

Warren worked 36.5 hours one week and 32 hours the week before.

Therefore, the total number of hours Warren worked was:

Multiply the total number of hours worked by Warren's rate of pay of $21.75 per hour:

Therefore, Warren's gross pay for the two weeks was $1,489.88 (nearest cent).

Answer:

$1489.875

Step-by-step explanation:

Warren's gross pay for 36.5 hours last week can be calculated as follows:

Gross pay for 36.5 hours = $21.75/hour * 36.5 hours = $793.875

Similarly, Warren's gross pay for 32 hours the week before can be calculated as follows:

Gross pay for 32 hours = $21.75/hour * 32 hours = $696

Adding the gross pay for the two weeks, we get:

Gross pay for 2 weeks = $793.875 + $696 = $1489.875

Answer:

Step-by-step explanation:

If you put all the numbers on the number line it would be, -4/3, -4/5, -2/3, 7/10, 7/10, so the correct answer is letter A.

Step-by-step explanation:

a) The test statistic is (4.4-4)/(1.3/sqrt(70)) = 2.83. The p-value is 0.0023. Since the p-value is less than 0.05, we reject the null hypothesis.

b) The test statistic is (5.3-4.4)/sqrt((1.4^2/106)+(1.3^2/70)) = 4.09. The p-value is less than 0.0001. Since the p-value is less than 0.05, we reject the null hypothesis.

Answer:

y=negative two fifths x plus 4

Step-by-step explanation:

DNA tbh ishrb jd ge kem is j.g cr. ks i.v rgjs gusnrie84b isbsuosb sojdl

Answer:

its A

Step-by-step explanation:

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Answer:

13?

Step-by-step explanation:

nth number is 83 hope you understand my answer thanks

Answer: 3n^2 + 8

Step-by-step explanation:

an^2 + bn + c

It is a quadratic sequence

11, 20, 35, 56, 83

 +8 +15 +21 +27

    +6   +6   +6

a + b + c

4a + 2b + c

9a + 3b + c

4a + 2b + c - a + b + c = 20 - 11

4a + 2b + c - a + b + c = 9

3a + b = 9

9a + 3b + c - 4a + 2b + c = 35 - 20

5a + b = 15

-2a = -6

a = -6/-2

a = 3

Substitute to find the values of b & c

For b

5(3) + b = 15

15 + b = 15

b = 15 - 15

b = 0

For c

9(3) + 3(0) + c = 35

27 + c = 35

c = 35 - 27

c = 8

3n^2 + 0n + 8

3n^2 + 8

For any price of h and k = -12, the system x + 3y = h and -4x + ky = -9 will haven't any answer.

To determine the values of h and okay for which the device of equations has no answer, we want to locate the situations underneath which the equations are inconsistent or parallel.

The given system of equations is:

Equation 1: x + 3y = h

Equation 2: -4x + ky = -9

For the gadget to haven't any answer, the lines represented with the aid of these equations should be parallel and in no way intersect. In different phrases, the slopes of the traces need to be equal, but the y-intercepts should be specific.

Let's first discover the slopes of the traces. The slope-intercept form of Equation 1 is y = (-1/3)x + (h/3), wherein the slope is -1/3. The slope-intercept shape of Equation 2 is y = (4/k)x - (9/k), wherein the slope is 4/k.

For the strains to be parallel, the slopes should be equal. Therefore, we have the condition: -1/3 = 4/k.

To locate the values of h and okay for which the gadget has no answer, we need to locate the values of h that satisfy the situation -1/3 = 4/k.

Solving this equation for ok, we've got:

-1/3 = 4/k

-1 = 12/k

k = -12

Substituting k = -12 returned into the equation -1/3 = 4/k, we've:

-1/3 = 4/(-12)

-1/3 = -1/3

Since the equation holds real for any value of h, there aren't any restrictions at the price of h.

Therefore, for any price of h and k = -12, the system x + 3y = h and -4x + ky = -9 will haven't any answer.

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The system of equations has no solution when k is equal to 12. The value of h can be any real number.

To determine the values of h and f for which the system has no solution, we need to analyze the coefficients of the variables and the constants in the equations.

The given system of equations is:

x + 3y = h

-4x + ky = -9

We can rewrite the second equation as:

-4x + ky = -9

Dividing both sides of the equation by -4, we get:

x - (k/4)y = 9/4

Comparing the coefficients of x and y in the two equations, we can see that the slopes of the lines represented by the equations are different when k is not equal to 12.

Therefore, for the system to have no solution, k must be equal to 12.

As for the value of h, it can be any real number since it does not affect the slopes of the lines.

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Quadratic equation for stream of water; (x-6)² = -36/5(y-5)

Using symmetry;

if (0,0) is taken as origin and maximum height is reached by stream at (6,5); the stream will strike the ground at (12,0);

Equation of a parabola whose mouth is open toward negative y- axis;

x² = -4ay

Parabola vertex shifted from (0,0) to (6,5);

(x-6)² = -4a(y-5);

Put x = 0, y = 0, as it lies on parabola;

36 = -4a(-5);

36 = 20a;

a = 36/20;

Quadratic equation for stream of water; (x-6)² = -36/5(y-5);

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Step-by-step explanation:

mx+b=y

mx=y-b

x=y-b/m

Answer:

∠1 and ∠3 as well as ∠5 and ∠7 are corresponding

∠2 and ∠7 are alternate

Step-by-step explanation:

Answer:

60degrees

Step-by-step explanation:

For similar triangles, the angles of their angles are equal to matter the size.

Hence if triangle TRS is similar to triangle TMN, then;

<R = <M and <S = <N

Given that;

<T = 40 degrees

<R = 60degrees

<S = 80 degrees

Since <R = <M, then <M = 60degrees

Given:

Given a table of values of a cosine function.

Required: Period of the function

Explanation:

The maximum of the cosine function occurs at the points

The period of the function is the modulus of the difference of the consecutive values at which the function attains maximum/minimum.

Final Answer: The period of the given cosine function f(x) is

Step-by-step explanation:

Since there is a 45 and 90 degree angle, this is a 45-45-90 triangle. The legs are equal in a 45-45-90 ttiangle. The hypotenuse sqr root of 2 times more than the legs. So this means the hypotenuse measure is

\(18 \sqrt{2} \)

So we can set up a equation.

\( {18}^{2} + {x}^{2} = ({18 \sqrt{2}) }^{2} \)

\(x = 18\)

So the missing side is 18

The probability that a truck drives between 122 and 127 miles in a day is 0.0165, rounded to four decimal places.

To find the probability that a truck drives between 122 and 127 miles in a day, we'll use the z-score formula and standard normal distribution table. Follow these steps:

Step 1: Calculate the z-scores for 122 and 127 miles.
z = (X - μ) / σ

For 122 miles:
z1 = (122 - 90) / 18
z1 = 32 / 18
z1 ≈ 1.78

For 127 miles:
z2 = (127 - 90) / 18
z2 = 37 / 18
z2 ≈ 2.06

Step 2: Use the standard normal distribution table to find the probabilities for z1 and z2.
P(z1) ≈ 0.9625
P(z2) ≈ 0.9803

Step 3: Calculate the probability of a truck driving between 122 and 127 miles.
P(122 ≤ X ≤ 127) = P(z2) - P(z1)
P(122 ≤ X ≤ 127) = 0.9803 - 0.9625
P(122 ≤ X ≤ 127) ≈ 0.0178

So, the probability that a truck drives between 122 and 127 miles in a day is approximately 0.0178 or 1.78%.

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Answer:

8 inches

Step-by-step explanation:

Given:

t = 2 ( 2h/32 ) ^1/2 ( or: t = 2 * sqrt ( 2h/32) ).

Step 1: First Player

0.9 = 2 * sqrt( 2h/32 )   / ^2 ( we will square both sides of equation )

0.81 = 4* 2h/32

0.81 = h/4

h 1 = 0.81 * 4 = 3.24 ft

Step 2: Second Player

0.8 = 2 * sqrt( 2h/32 ) /^2

0.64 = 4 * 2 h/32

h 2 = 0.64 * 4 = 2.56 ft

Step 3: Simplify

h 2 - h 1 = 3.24 - 2.56 = 0.68 ft

and since 12 in = 1 ft:

0.68 * 12 = 8.16 in ≈ 8 in.

An example of two nonlinear functions that don't dominate each other is the sin function (f(x) = sin(x)) and the exponential function (g(x) = e^x).

For any given value of x, the sin function oscillates between -1 and 1, taking on both positive and negative values. It has a periodic nature and does not grow or decay exponentially as x increases or decreases.

On the other hand, the exponential function grows or decays exponentially as x increases or decreases. It is characterized by a constant positive growth rate. The exponential function increases rapidly when x is positive and approaches zero as x approaches negative infinity.

The key characteristic here is that the sine function oscillates while the exponential function grows or decays exponentially.

Due to their fundamentally different natures, neither function dominates the other over their entire domains.

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Answer:yes

Step-by-step explanation:

Answer:

yes it is

Step-by-step explanation:

Answer:

540,000+67,000= ((607,000))

Step-by-step explanation:

(5.4*10^5= 540,000)+(6.7*10^4= 67,000)

Answer:

\(6.07 \times {10}^{5} \)

Step-by-step explanation:

\(5.4 \times {10}^{5} + 6.7 \times {10}^{4} \)

\(540000 + 67000 = 607000\)

\(607000 = 6.07 \times {10}^{5} \)

Answer:

16 cm^2

Step-by-step explanation:

Sqrt 64 = 4

Area of one face is 4 x 4 = 16 cm^2

Answer:

5 50bw syfnauw dux fyq euw eywvr6b

Answer:

180/15=12

12 players per team

Step-by-step explanation:

Hope this helps :D

Have a good day/night <3

The probability that a card drawn at random from a full deck of 52 cards is either a jack or a black card is 27/52 or approximately 0.519.

To find the probability, we first need to determine the number of cards that meet the criteria. There are 4 jacks in the deck, so the probability of drawing a jack is 4/52 or 1/13. There are also 26 black cards in the deck (13 clubs and 13 spades), so the probability of drawing a black card is 26/52 or 1/2. However, we must subtract the 2 black jacks (the jack of clubs and the jack of spades) that we have already counted, so the total number of cards that are either a jack or black is 4 + 26 - 2 = 28. Thus, the probability of drawing a card that is either a jack or black is 28/52 or 7/13, which can be simplified to 27/52 or approximately 0.519.

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Answer:

angle 1 = 105º

angle 2  = 75º

Step-by-step explanation:

angle 2  = 75º

corresponding angle to the 75º angle

angle 1 = 105º

it's supplementary to angle 2

180 - 75 = 105

Answer:

2

Step-by-step explanation:

1/4 × 8 = 2

:))))nakajsisj

Answer:

2

Step-by-step explanation:

The given function as;

f(x) = x² - 8x + 3

f(x + h) , susbtitute x = x + h in the given expression as;

f(x+h) = (x+h)² - 8(x+h) + 3

f(x+h) = (x² + h² + 2xh) -8x - 8h + 3

f(x+h) = x² + h² + 2xh - 8x - 8h + 3

Now substitute the value of f(x+h) in the expression as;

Answer : 2x + h - 8

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