If the sales tax rate is 5% in California, then how much would you pay in Los Angeles for a pair of shoes that cost $35.00? ​

Answer: f(x) = 3x2−12x + 13

The prime of the set  is  mathematically given as

A' {e,h,i,j,k}

This is further explained below.

Generally, Mathematically speaking, "set theory" refers to the study of well-defined groups, or "sets," of individual things that are collectively referred to as "members" or "elements" of the set. Because sets are the only topic of discussion in pure set theory, the only sets that may be taken into account are those that include other sets as members.

Assigned the letter A (A prime), The components that are included in the Universal set but are absent from Set A are denoted by the letter A'.

In conclusion, the prime of the set  is  mathematically given as

A' {e,h,i,j,k}

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CQ

Let U={e,f,g,h,i,j,k} and A={f,g}

find A'

Answer:

\(x {}^{2} - 5x = - 3 \\ x( x - 5) = - 3 \\ x = - 3 \\ x - 5 = - 3 \\ x = 2\)

part one is the first pic the second part is the one that starts with the result.

a. The equation representing the cost of buying and operating the Super Cool X1400 is: C = 800 + 60m. b. The equation representing the cost of buying and operating the Efficient Energy X2000 is: C = 1200 + 40m. c. Your family would have to use the Efficient Energy model for 10 months to compensate for the additional cost of the original purchase. d. Figuring your family will only use the air conditioner for four months each year, you would have to wait 5 years to start saving money overall.

a. The cost of buying the Super Cool X1400 is a one-time expense of $800. Additionally, the cost of operating it is $60 per month. Therefore, the equation representing the cost C as a function of months m is C = 800 + 60m.

b. The cost of buying the Efficient Energy X2000 is a one-time expense of $1200. The operating cost is $40 per month. Hence, the equation representing the cost C as a function of months m is C = 1200 + 40m.

c. To compensate for the additional cost of the original purchase (which is $400), we equate the two cost equations and solve for m:

800 + 60m = 1200 + 40m

20m = 400

m = 20

Therefore, your family would have to use the Efficient Energy model for 20 months (or 10 months more than the Super Cool X1400) to compensate for the additional cost.

d. Considering your family only uses the air conditioner for four months each year, we divide the total number of months (20) by four to find the number of years needed to start saving money overall:

20 months / 4 months/year = 5 years

Hence, you would have to wait 5 years to start saving money overall by choosing the Efficient Energy X2000.

a. The cost of buying and operating the Super Cool X1400 is represented by the equation C = 800 + 60m.

b. The cost of buying and operating the Efficient Energy X2000 is represented by the equation C = 1200 + 40m.

c. Your family would have to use the Efficient Energy model for 10 months to compensate for the additional cost of the original purchase.

d. Assuming your family uses the air conditioner for four months each year, you would have to wait 5 years to start saving money overall by choosing the Efficient Energy X2000.

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complete question- Your family plans to buy a new air conditioner. They can buy the Super Cool X1400 for $800, or they can buy the Efficient Energy X2000 for $1200. Both models will cool your home equally well, but the Efficient Energy model is less expensive to operate. The Super Cool X1400 will cost $60 per month to operate, while the Efficient Energy X2000 costs only $40 per month to operate. a. Write an equation to represent the cost of buying and operating the Super Cool X1400 where C= cost and m= months. b. Write an equation to represent the cost of buying and operating the Efficient Energy X2000. c. How many months would your family have to use the Efficient Energy model to compensate for the additional cost of the original purchase? d. Figuring your family will only use the air conditioner for four months each year, how many years ill you have to wait to start saving money overall?

Solution:

Given that a committee of 4 teachers and 3 students is to be formed from 12 teachers and 35 students, we have

Recall that:

This gives:

Hence, the number of committees that can be formed is

Answer:

B

Step-by-step explanation:

This is just the prosses of elmiation. How is A even possablie, C doesnt make sense, and D is also a non logical or solvable question. Thus its b.

Answer: 3√737

hope this helps ;)

Answer:

-7

Step-by-step explanation:

-4-(-9)-12

a negative + a negative= a positive which end u up with -4+9-12

-4+9=5    5-12=-7

im not really good at explaining so i hope it help

Answer:

-7

Step-by-step explanation:

-4-(-9)-12  1. make the 2 negatives into a positive (- -) = +

-4+9-12    2. add -4+9

5-12        3. subtract 12 form 5

-7

Answer:

1/2

Step-by-step explanation:

The conclusion that is correct in a two-tailed test at α = .05 is There appears to be no difference in the mean occupancy rates.

From the given values:

Thus, the P-value = 0.1791

Interpret results. Since the P-value (0.1791) is greater than the significance level (0.05), we failed to reject the null hypothesis.

From the above test, we do not have sufficient evidence in favor of the claim that there is a difference in the mean occupancy rates.

Thus, option A is correct.

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According to the given percentages, 18% of the students at the orientation are male arts majors.

The statement correctly calculates that 60% of the students at the orientation are men and 30% are arts majors.

To determine the percentage of students who are male arts majors, we multiply these two percentages together: 60% x 30% = 18%. Therefore, 18% of the students at the orientation are male arts majors.

This calculation follows the principles of probability, where the intersection of two events (being a male and being an arts major) is determined by multiplying the probabilities of each event occurring individually.

In this case, it results in 18% of the students meeting both criteria.


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Question - Sixty percent of the students at an orientation are men and 30% of the students at the orientation are arts majors. Therefore, 60% X 30% = 18% of the students at the orientation are male arts majors.

The increase in the amount of wages of Gabriela is $ 41,400

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total amount after increase in wages be = A

Now , the initial amount of Gabriela be = $ 36,000

And , the percentage increase in the wages = 15 %

So , the equation will be

Total amount after increase in wages A = initial amount + ( percentage increase x initial amount )

Total amount after increase in wages A = 36,000 + ( 15/100 x 36,000 )

Total amount after increase in wages A = 36000 + ( 15 x 360 )

Total amount after increase in wages A = 36000 + 5400

Total amount after increase in wages A = $ 41,400

Therefore , the value of A is $ 41,400

Hence , The increase in the amount of wages of Gabriela is $ 41,400

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The hοrizοntal distance between the twο pοints is 21 units.

Distance is the tοtal mοvement οf an οbject withοut any regard tο directiοn. We can define distance as tο hοw much grοund an οbject has cοvered despite its starting οr ending pοint.

The twο pοints have the same y-cοοrdinate οf -20, sο they lie οn a hοrizοntal line. The distance between them is simply the difference between their x-cοοrdinates.

Let's call the first pοint (x1, y1) = (-14, -20) and the secοnd pοint (x2, y2) = (7, -20). The hοrizοntal distance between these twο pοints can be fοund using the fοrmula:

Distance = |x2 - x1|

Substituting the cοοrdinates οf the twο pοints gives:

Distance = |7 - (-14)| = |7 + 14| = 21

Therefοre, the hοrizοntal distance between the twο pοints is 21 units.

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Answer:

\(x = \frac{-7 +\sqrt{489} }{2}\)

\(x = \frac{-7 - \sqrt{489} }{2}\)

Step-by-step explanation:

2x² +21x-61 = (x+7)²

expand

2x² + 21x - 61 = x² + 14x +49

move everything to one side

x² + 7x - 12 = 0

use quadratic formula

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

plug in the values

\(x = \frac{-7 +- \sqrt{7^{2}-4(1)(-110) } }{2(1)}\)

solve

\(x = \frac{-7 +- \sqrt{49-4(1)(-110) } }{2}\)

\(x = \frac{-7 +- \sqrt{49 + 440 } }{2}\)

\(x = \frac{-7 +- \sqrt{489} }{2}\)

Answer:The third statement is true: The graph of y=log (x) + 4 is the graph of y=log(x) translated 4 units up.

Step-by-step explanation:

Using translation concepts, it is found that the graph of y=logx - 4 is the graph of y = logx translated 4 units right.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

here, we have,

In this problem, the parent function is:

y=logx

The translated function is given by:

y=logx - 4

now, here, we have to find the translation, which is done in the transformation of y=logx to y=logx - 4

here, we noticed that,

The change was in the domain, in which x→x-4 , which means that the function was translated 4 units right.

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The probability that the person uses exactly one of the facilities is 0.8.

Given that, there are 120 people in a sport center.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes

Now, the person uses exactly one of the facilities

= 78+46+41-(21+16+24+9)

= 165-70

= 95

So, probability =95/120

= 0.8

Therefore, the probability that the person uses exactly one of the facilities is 0.8.

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Given :

The straight line depreciation equation for  a motorcycle is y = -2,150x + 17,200.

To Find :

a. What is the original price of the  motorcycle? $17,200.00  ?

b. How much value does the motorcycle  lose per year?

c. How many years will it take for the  motorcycle to totally depreciate?

Solution :

y = -2,150x + 17,200.

Here, y is price and x is unit of time in years.

a)

We know, original price is given when x =0.

So, y = 0 + 17,200

y = $17,200.00

b)

Value motorcycle lose per year is coefficient of x i.e $-2,150.00

c)

Form total depreciate :

y = 0

0 = -2,150x + 17,200

x = 17,200÷2,150

x = 8 years.

Hence, this is the required solution.

Answer:

Let

Point 1 ----------> (5, 2)

Point 2 ----------> (–6, 2)

we know that

the distance between two points it is calculated with the formula

d=√[(y2-y1)²+(x2-x1)²]

then

d=√[(2-2)²+(-6-5)²]

d=√[(0)²+(-11)²]

d=√[121]

d=√121-----------> d=11 units

the answer is 11 units,

Also, The segment is horizontal because the y-coordinates are the same. To find the distance, you can count the spaces between the points. The segment is 11 units long.

Answer: Record

Step-by-step explanation:

Answer: (-5x2 - 8x + 7) - (5x2 - 4)

Step-by-step explanation:

= -5x2 - 8x + 7 - 5x2 + 4

= -5x2 - 5x2 - 8x + 7 + 4

= -10x2 – 8x + 11

Answer: = (-5x2 - 8x + 7) - (5x2 - 4)

Answer:

the y axies

Step-by-step explanation:

css its not the x

Answer:

Step-by-step explanation:

so

V = energy / q

The potential difference * charge = potential energy change of charge

delta V = 10J/(5*10^-6) = 2*10^6 volts

True.

if y is not the zero vector, then there exists a non-zero vector v in the original vector space that is orthogonal to y.

If y is in a subspace W as well as its orthogonal complement Wâ¥, then y is orthogonal to every vector in W as well as every vector in Wâ¥. Since W and W⥠are complements, every vector in the original vector space can be written uniquely as the sum of a vector in W and a vector in Wâ¥. Since y is orthogonal to every vector in W and every vector in Wâ¥, it must be orthogonal to every vector in the original vector space.

Therefore, if y is not the zero vector, then there exists a non-zero vector v in the original vector space that is orthogonal to y. But then v would belong to both W and Wâ¥, which is impossible since W and W⥠are orthogonal complements and their intersection is only the zero vector.

Hence, it follows that if y is in a subspace W as well as its orthogonal complement Wâ¥, then y must be the zero vector.

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The Nash equilibrium of the game is (b, c), where player A chooses the second option and player B chooses the third option.

To find the Nash equilibrium of the game, we need to find the best response for each player given the other player's strategy. For player A, if player B chooses the first option, A's best response is to choose the first option as well, since -5 is better than -3.

If player B chooses the second option, A's best response is to choose the second option, since 2 is better than 1. If player B chooses the third option, A's best response is to choose the first option, since 1 is better than -3.

For player B, if player A chooses the first option, B's best response is to choose the second option, since 1 is better than -5.

If player A chooses the second option, B's best response is to choose the third option, since 3 is better than 2. If player A chooses the third option, B's best response is to choose the first option, since 4 is better than -3.

Therefore, the Nash equilibrium of the game is (b, c), where player A chooses the second option and player B chooses the third option.

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To find the number of days it will take the class to finish the book, we can divide the total number of pages by the number of pages read per day:

Number of days = Total number of pages / Number of pages read per day

Plugging in the given values, we get:

Number of days = 318 / 15 ≈ 21.2

Since we cannot have a fraction of a day, we round up to the nearest whole number of days. Therefore, it will take the class about 22 days to finish the book.

Answer:

C

Step-by-step explanation:

1/2(10*7)*13

1/2(70)*13

35*13=455

Step 3 is unnecessary (the statement is already given, plus you haven't proven the triangle is isosceles anyway).

After, omit step 5 and jump straight to 6.

After this, step 6 is the statement that used to be step 5, which is true by CPCTC.

Then, you can prove the required statement by definition from this.

Answer:

1, 148, 149.

your welcome

Answer:

E,B,F≥150

Step-by-step explanation:

150≥150

152≥150

151≥150

Answer:

Bn= 9 cm

tw=14 cm

bf=17 cm

<w =82⁰

<b= 67⁰

<f= 31⁰