Which of the following BEST defines an output? please help me, I've been stuck on this one for a while!​

Aftre solving, the all option is false except option c. Only option c, ∅×A=∅ is correct because cartesian product with non empty set with empty set alsways gives empty set.

In the givn question we have to find which statement is true.

To solve the question we let;

A={1,2,3}; B={2,3,4}; C={2,3}

(a) The first option is (A – C) ∩ (A – B) = A – (B ∪ C)

Now solving the both side by putting the value

({1,2,3} – {2,3}) ∩ ({1,2,3} – {2,3,4}) = {1,2,3} – ({2,3,4} ∪ {2,3})

{1} ∩ {1,4} = {1,2,3} – {2,3,4}

{1} = {1,4} (False)

(b) If A ∩ B = ∅, then A ⊂ B

As we know that if If A ∩ B = ∅, then A=∅ and B=∅. That means both A and B will be empty set. So the option B is false.

(c) ∅ X A = ∅

As we know that cartesian product with non empty set with empty set alsways gives empty set. SO the option C is correct.

(d) (A – B) ∪ (B – C) = A – C

Now solving the both side by putting the value

({1,2,3} – {2,3,4}) ∪ ({2,3,4} – {2,3}) = {1,2,3} – {2,3}

{1,4} ∪ {4} = {1}

{1,4} = {1} (False)

(e) ∅ ∩ {∅} = ∅ (False)

(f) B X A = A X B (False)

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Answer:

D- 5hrs

Step-by-step explanation:

If the family can hike 3 miles per hour,
for 15 miles: 15/3 = 5 hours.

Every hour they cover 3 miles per hour, so to cover 15 miles, they will take 5 hours

Answer:

D. 5 hours

Step-by-step explanation:

3 miles per 1 hour so 3/1

15 miles per x hours so 15/x

3/1 = 15/x or 3 = 15/x

get x by itself so

3 divided by 3 and 15 divided by 3

x = 5 hours

Using the relation between velocity, distance and time, it is found that:

Velocity is distance divided by time, that is:

\(v = \frac{d}{t}\)

A plane traveling with the wind travels 900 miles in 5 hours, hence:

\(v_a + v_w = \frac{900}{5}\)

\(v_a + v_w = 180\)

The return trip is against the wind and takes 9 hours, hence:

\(v_a - v_w = \frac{900}{9}\)

\(v_a - v_w = 100\)

From the first equation, we have that:

\(v_w = 180 - v_a{/tex]

Replacing on the second:

\(v_a - v_w = 100\)

\(v_a - 180 + v_a = 100\)

\(2v_a = 280\)

\(v_a = 140\)

\(v_w = 180 - 140 = 40{/tex]

Hence:

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We can be 99% confident that the true average price of a regular room with a king size bed falls within this interval.

The interval estimate to estimate the true average price of a regular room with a king size bed in the resort community with 99% confidence can be constructed using the sample mean, sample standard deviation, and the critical value for a 99% confidence level.

Given that the sample mean is $125 and the sample standard deviation is $30, we can calculate the margin of error using the formula:

Margin of Error = (Critical Value) * (Standard Deviation / √Sample Size)

Since we have a sample size of 18 and we want a 99% confidence level, the critical value can be obtained from the Z-table or using statistical software, and for a 99% confidence level, it is approximately 2.878. Plugging in the values, we get:

Margin of Error = 2.878 * (30 / √18) ≈ 18.71

The interval estimate is then constructed by adding and subtracting the margin of error from the sample mean:

Interval Estimate = Sample Mean ± Margin of Error

Interval Estimate = $125 ± $18.71

Rounded to two decimal places, the interval estimate for the true average price of a regular room with a king size bed in the resort community with 99% confidence is approximately $106.29 to $143.71.

# A travel agent is interested in the average price of a hotel room during the summer in a resort community. The agent randomly selects 18 hotels from the community and determines the price of a regular room with a king size bed. The average price of the room for the sample was $125 with a standard deviation of $30. Assume the prices are normally distributed. Construct an interval to estimate the true average price of a regular room with a king size bed in the resort community with 99% confidence. Round the endpoints to two decimal places, if necessary.

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The radical is 2√21.

The √ symbol that is used to denote square root or nth roots.

Given :

√84

= √2*2*21

=2√21

Hence, the radical is 2√21.

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Hence, the mixed fraction for the number 1.12 is 1 3/25.

When the numerator and denominator are divided, the result is a fraction, which is expressed mathematically as a quotient. In a simple fraction, both are integers. A fraction can be found in either the numerator or the denominator of a complex fraction. The numerator of an appropriate fraction is less than the denominator.

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Answer:

6 cm

Step-by-step explanation:

36-24=12 and 12/2 is 6

Hope this helps!!!!!!!!!!!!!!

Answer:

$35

Step-by-step explanation:

Let x represent the price of Douglas fir trees and y represent the noble fir trees

11x + 9y= 1006........equation 1

14x + 9y= 1111.........equation 2

Multiply equation 1 by 14 and equation 2 by 11

154x + 126y= 14,084

-

154x + 99 y= 12,221

27y= 1863

Divide both sides by the coefficient of y which is 27

27y/27 = 1863/27

y= 69

Substitute 69 for y in equation 1

11x + 9y= 1006

11x + 9(69) = 1006

11x + 621= 1006

11x = 1006 -621

11x = 385

x = 385/11

x = 35

Hence the Douglas fir free costs $35

Answer:

d

Step-by-step explanation:

The state income tax owed on a $90,000 per year salary is $4950.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

From the given information we conclude that the percentage tax for

a $90,000 per year salary is 5.5%.

Therefore, The amount to be paid is,

= $(5.5/100)×90000.

= $4950.

So, An amount of $4950 has to be paid for an annual income of $90000.

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Step-by-step explanation:

the derivative of the sum of terms in x is the same as the sum of the derivatives of the individual terms.

d/dx × (-4sin(x) + 9x) = d/dx × (-4sin(x)) + d/dx × (9x)

and also : the derivative of a term in x multiplied by a constant c is c × derivative of the term in x.

d/dx × (-4sin(x)) + d/dx × (9x) =

-4 × (d/dx × sin(x)) + 9 × (d/dx × x)

so, what is the derivative of sin(x) ? cos(x)

what is the derivative of x ? 1

so, we have as result :

-4cos(x) + 9

Answer:

47

Step-by-step explanation:

Answer:

x = 63

Step-by-step explanation:

180 = 47 + 70 + x

180 = 117 + x

180 - 117 = x

63 = x

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The equation is a parabola, that opens up downwards,  and the point from which Sarah throws the ball is 5 feet off the ground.  so set the height to zero ( when the ball reaches the ground )  and solve for t

0 = -16\(t^{2}\) + 18t + 5

use quadratic equation :)

-b +- sqrt(\(b^{2}\) - 4ac) / 2a

-18 +- sqrt[ \(18^{2}\) - 4 (-16)(5) ] / 2(-16)

-18 +- sqrt[324 +320 ] / -32

-18 +- sqrt[644] / -32

-18 +- 25.377155 / -32

do the positive choice :

-18 + 25.377155 / -32

7.377155  / -32

-0.2305  ( so this answer would be where the ball would hit the ground if the arc extended down to the ground behind where Sarah throws the ball from. so this answer doesn't count in our domain. Because it's before Sarah throws the ball)

do the negative choice:

-18 - 25.377155 / -32

1.355536  ( this answer looks good, about 1.35 seconds for the ball to fly , this was more of a toss than a throw. )

t = 1.4 seconds ( rounded to nearest 10th )

Answer:

c = 72/0.45

c = 160

So the value of c =160

well, let's call "c" the 100%, and we know that 45% of that is 72, hmmm so

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} c & 100\\ 72& 45 \end{array} \implies \cfrac{c}{72}~~=~~\cfrac{100}{45} \\\\\\ \cfrac{ c }{ 72 } ~~=~~ \cfrac{ 20 }{ 9 }\implies 9c=1440\implies c=\cfrac{1440}{9}\implies c=160\)

Answer: D-60

Step-by-step explanation:

Let x be the number of weeks.

For Account A,

Initial amount = $80

Amount added per week = $3.50 per week

Money after x weeks = 80+3.50x    ....(i)

For Account B,

Initial amount = $95

Amount added per week = $3.25 per week

Money after x weeks = 95+3.25x    ....(i)

When both account have the same amount , then

\(80+3.50x=95+3.25x \\\\\Rightarrow\ 3.50-3.25x=95-80\\\\\Rightarrow\ 0.25x=15\\\\\Rightarrow\ x=\dfrac{15}{0.25}\\\\\Rightarrow\ x=60\)

hence, it will take 60 weeks.

The correct option is D-60.

The angle I of the given right triangle is equal to 53.13°.

A triangle is classified as a right triangle when it presents one of your angles equal to 90º.  The greatest side of a right triangle is called the hypotenuse. And, the other two sides are called legs.

The math tools applied for finding angles or sides in a right triangle are the trigonometric ratios or the Pythagorean Theorem.

The Pythagorean Theorem says: (hypotenuse)²= (leg1)²+(leg2)² . And the main trigonometric ratios are: sin (x) , cos  (x) and tan  (x) .

The question asks the angle m∠I, you can find this information from the trigonometric ratio sin(I).

The cos (I) is represented by:

\(sin(I)= \frac{opposite \ side}{hipotenuse} =\frac{8}{10} =0.8\)

Therefore,

I= arcsin(0.8) from a calculator you find:

I=53.13°

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Answer:

A"= -5,2

B"= -6,-1

C"= -4,0

(I think these are right)

Answer:

A=(5,2)

B=(5,1)

C= (3,0)

Step-by-step explanation:

The graph is a downward-opening parabola opening downward with its vertex at (2,0). Therefore, the correct option is C.

The equation y = -16t^2 + 64t + 16 represents the path of a projectile launched from a 16-ft-tall tower. To determine the correct graph, we can analyze the equation. The coefficient of t^2 (-16) is negative, indicating a downward-opening parabola. The coefficient of t (64) determines the horizontal shift of the graph, and in this case, t = 4 represents the maximum height of the projectile. The constant term (16) represents the initial height of the tower.

Considering these factors, we find that the correct graph of the equation is option C. It depicts a downward-opening parabola with its vertex at (2,0). The parabola starts at an initial height of 16 ft (the tower's height) and descends symmetrically from its vertex.

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Answer:

90 8/15 hope this helps byee

The nature of the root for the equation that is 2x² - x + 1 = 0 are x = \(\frac{1\pm i\sqrt{7} }{4}\) by using the formula.

Given that,

We have to find the nature of the roots for the equation that is 2x² - x + 1 = 0.

We know that,

Take the equation,

2x² - x + 1 = 0

Now, finding the root by using the formula

When ax² + bx + c = 0 Then root are x = \(\frac{-b\pm\sqrt{b^2-4ac} }{2a}\)

Then here coefficient are a = 2, b = -1 and c = 1

Now, x = \(\frac{-b\pm\sqrt{b^2-4ac} }{2a}\)

x = \(\frac{-(-1)\pm\sqrt{(-1)^2-4(2)(1)} }{2(2)}\)

x = \(\frac{1\pm\sqrt{1-8} }{4}\)

x = \(\frac{1\pm\sqrt{-7} }{4}\)

x = \(\frac{1\pm i\sqrt{7} }{4}\)

Therefore, The nature of the root of the equation are x = \(\frac{1\pm i\sqrt{7} }{4}\).

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Using LC-3 instructions in hexadecimal,

(a) Move value from R2 to R3: Use "ADD R3, R2, #0" instruction.

(b) Clear contents of R5: Use "AND R5, R5, #0" instruction.

(c) Perform R1 ← R4 - R6: Use "ADD R1, R4, #-1" and "ADD R1, R1, R6" instructions.

(d) Set condition codes based on R1: Use "ADD R7, R1, #0" or "ADD R7, R1, #1" instructions.

(e) No sequence of instructions can set N=1, Z=1, and P=0 simultaneously because they are mutually exclusive.

(a) To move the value in R2 into R3, the instruction "ADD R3, R2, #0" can be used. (ADD copies the value from one register to another).

(b) To clear the contents of R5, the instruction "AND R5, R5, #0" can be used. (ANDing a register with 0 clears its contents).

(c) To perform the R1←R4−R6 operation, the instruction sequence would be:

(d) Two ways to set the condition codes based on the value in R1 without changing the contents of any register:

(e) No, there is no sequence of instructions that will cause the condition codes at the end of the sequence to be N=1, Z=1, and P=0 simultaneously because the condition codes are mutually exclusive. N (negative) and P (positive) cannot both be true at the same time.

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Answer:

Step-by-step explanation:

y+ 20= x+ 15( Vertically opposite angles)

y+ 20- 15= x

x= y+ 5 __(1)

3x+ 5=4y- 15

Substituting (1)

3(y+5)+ 5= 4y-15

3y+15+5=4y- 15

y=15+20

y= 35

x= 40

Answer:

8 pens = 32

1 pen = 32 ÷ 8

= 4

Cost of one pen is $4.

Cos ( 37 ) = 30 / x

0.7986 = 30 / x

x = 30 / 0.7986

x = 37.5657

x = 37.5660

x = 37.5700

x = 37.6000

x = 37.6 yard

Answer:

Step-by-step explanation:

(a) The number of pathways in the plane from point (0, 0) to point (110, 111) when each step consists of walking one unit up or one unit to the right is known as the number of ways to go to a point in a grid using just right and up moves.

This is a classic combinatorial problem known as a binomial coefficient. The binomial coefficient C(110+111, 110) = C(221, 110) = 221!/(110!111!) is the number of ways to travel from (0, 0) to (110, 111).

(b) The number of paths from (0, 0) to (210, 111) where each step consists of walking one unit up or one unit to the right and the path must pass through (110, 111) is the product of two binomial coefficients.

First, as calculated in section 1, the number of pathways from (0, 0) to (110, 111) is C(110+111, 110) = C(221, 110). Second, there are C(210+211, 210) ways to get from (110, 111) to (210, 111). (210, 211). (421, 210). C(221, 110) * C is the total number of paths found by multiplying these two binomial coefficients (421, 210).

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Answer:

probability of Tara selecting a red marble from the first bag is about 50% and for the second about 25%

(I'm taking a guess at this)

Answer:

20.17%

Step-by-step explanation:

Formula I=PRT

then R=I/PT

R=629.20/520 x 6

=0.2017

=0.2017 x 100%

=20.17%