a set of license plates has three letters followed by 5 digits. (a) in how many ways can a license plate be made with three letters followed by 5 digits? (letters or digits may be repeated.)

Answer:

25.4

Step-by-step explanation:

use sine rule [tex]\frac{a}{sinA}[/tex]=[tex]\frac{b}{sinB}[/tex]

[tex]\frac{20}{sin(52)}[/tex]  ×sin(90)

or

use sine rule [tex]\frac{opposite}{hypotenuse}[/tex]  = sinФ

[tex]\frac{20}{h}[/tex]=sin(52)

rearrange-

20÷sin(52)=h

(h is x)

Bill's average speed throughout his journey is 55mi/hr

The average speed Bill drove can be calculated using the formula of speed which is given as

[tex]speed = \frac{distance}{time}[/tex]

Substituting all the values into the equation, we can find the speed.

130 miles at 65mi/hr, 67.5miles at 1.5 hours and 45mi/hr.

[tex]average speed = \frac{65 + 45}{2} = \\speed = \frac{110}{2} = 55mi/hr[/tex]

The average speed at the end of the journey is 55mi/hr

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Answer:

D. 13 units

Step-by-step explanation:

Woozy Wheel: (-14, 1)

Roller Rail: (-2, -4)

[tex] \sqrt{ { - 14 - ( - 2))}^{2} + {(1 - ( - 4))}^{2} } [/tex]

[tex] \sqrt{ {( - 12)}^{2} + {5}^{2} } [/tex]

[tex] \sqrt{144 + 25} = \sqrt{169} = 13[/tex]

The distance between the Woozy Wheel and the Roller Rail is D. 13 units

The distance formula between two points (x₁, y₁) and (x₂, y₂) is

D = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].

Given, A map of an amusement park is shown on the coordinate plane with the approximate location of several rides.

The point at which Woozy Wheel is (-14, 1) and the point at which Roller Rail

is (-2, - 4).

∴ The distance between the Woozy Wheel and the Roller Rail is,

D = [tex]\sqrt{(-2 + 14)^2 + (-4 - 1)^2}[/tex] units.

D = [tex]\sqrt{(12)^2 + (-5)^2}[/tex] units.

D = [tex]\sqrt{144 + 25}[/tex] units.

D = [tex]\sqrt{169}[/tex] units.

D = 13 units.

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Lawn care is kind of model do you think best represents the profit for each business.

What is profit?

Dog walker = 5 + 12 + 23 + 50 + 62 + 82  = $234

House sitter = 11 + 19 + 29 + 38 + 50 + 73  = $220

Lawn care = 142 + 150 + 165 + 141 + 120 + 91  = $809

Lawn care is kind of model do you think best represents the profit for each business.

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Answer:

m∠1 = 140 by the Alternate Interior Angles Theorem

m∠2 = 40 by the Consecutive Interior Angles Theorem

Step-by-step explanation:

Answer:

It unexpected, but did you know you could live over 40 years on just pizza! Crazy! It's not so good tho because of all the salt in it, so that's not THE HEALTHIEST. I've looked it up and, fish seems to be the top choice when it comes to what's good for you. I've also have come across dark green vegetables too.

Step-by-step explanation:

I didn't notice you were just talking about what tastes good rather than whats healthiest.... eh! YOUR NOW EDUCATED!!!

Hope it helps! =D

The ratio of the number of students who want waffles to the total number of students is 3 : 26 students

Ratio refers to the number representing a comparison between two named things or quantities.

Number of students who wants waffles = Total number of students - Number of students who wants pancakes

= 26 students - 23 students

= 3 students

Ratio of the number of students who want waffles to the total number of students = 3 students : 26 students

So therefore, the ratio of the number of students who want waffles to the total number of students separated by a colon is 3 : 26

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Answer:

-6 ≤ x ≤ ∨ x = 4

Step-by-step explanation:

x^2 + 2·x ≤ 24

x^2 + 2·x - 24 ≤ 0

-1 - √(1 + 24) ≤ x ≤ -1 + √(1 + 24)

-1 - 5 ≤ x ≤ -1 + 5

-6 ≤ x ≤ ∨ x = 4

We will find lines B &

Answer:

There isn't an image to go with your question. repost this question with an image to be able to receive an answer.

Have a nice day :)

Answer:

Step-by-step explanation: You don't have an picture for me to explain add a picture and I'll be able to help you.

ANSWER: Translation of Triangle Q to Triangle P

Horizontal shift 4 units left and Vertical shift 1 unit upward

Answer:

(x-2)(x+8)

Step-by-step explanation:

Out of 400 students, 120 students would pick math as their favorite subject.

Data provided to us

fav subject       students

 Math                  6

 Science             3

 English              4

 History              7

Hence the total becomes 20 students

we have to calculate students whose favorite subject is math from 400 students

students with math as fav subject out of 20 students = 6

students with math as fav subject out of 400 students = (6 / 20) x 400

                                                                                          = 120 students

we can verify it as

%age of students out of 20 , who like math = 6/20 x 100

                                                                                   = 30 %

similarly, %age of students out of 400, who like math= 120/400 x 100

                                                                                        = 30 %

As we can see both the percentages are same. and the answer is verified .

So 120 students would pick math as their favorite subject out of 400 students.

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Answer:

The answer is 5(30+2)!

3,058.08 cubic yards

radius = 9 yd

π = 3.14

Volume of a sphere = 4/3 πr³

Volume of sphere = 4/3 × 3.14 × 9³

Volume of sphere = 3052.08

To the nearest hundredth, the volume 3,058.08 cubic yards

8 × 0.25n = 2n

8 × -2 = -16

-0.5 × 8 = -4

-0.5 × -4n = 2n

2n - 16 + n= -4 + 2n

2n + n = 3n

3n - 16 = -4 + 2n

-2n -2n

n - 16 = -4

+16 +16

n = 12

Answer:

look at explanation!

Step-by-step explanation:

Huangmei Opera is a local opera of the Han nationality. Being one of Chinese big five operas, Huangmei Opera enjoy equal popularity with Beijing Opera, Yue Opera, Ping Opera and Yu Opera. It originates from Huangmei, a junction of Hubei, Anhui and Jiangxi.

is one of the five major opera genres in China. It is the main local opera in  City, Anhui Province. The predecessor of  Opera is  and Anhui Opera. Also known as  tune, in the middle and late  Dynasty, tea picking tune was combined with local folk opera in  Prefecture, Anhui Province, and sung and recited in  dialect of , and gradually developed into a new type of opera, which was called  at that time. This is the early stage The prototype of i Opera. Later,  drew on the music, performances and repertoires of  and , and began to perform "this opera". Later, with  Town,  County,  Prefecture as the center, and after more than 100 years of development, it became an independent large-scale local drama - Anhui Opera, which was renamed " Opera" in the  Opera is the main local opera variety in Anhui, and after spreading to the neighboring  City, Jiangxi Province, and City, Hubei Province, it eventually became a well-known national opera variety. There are also professional and amateur performance groups of  Opera in Taiwan and Taiwan, which are widely welcomed. After the founding of the People's Republic of China, it quickly developed into an influential opera genre in the whole of China and became famous overseas. In 2006,  Opera was selected into the first batch of China's national intangible cultural heritage.

Step-by-step explanation:

The expression as an exponent is 21^1

Expressions are mathematical statements that are represented by variables, coefficients and operators

The expression is given as

(23) - 2

Open the bracket in the above expression

So, we have the following equation

(23) - 2 = 23 - 2

Evaluate the difference in the above expression

So, we have the following equation

(23) - 2 = 21

The above expression can be rewritten as

(23) - 2 = 21^1

Hence, the equivalent expression is 21^1

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Answer:

22

Step-by-step explanation:

The change in the price level from the first to the second month is 106.4

Price index: Price index, measure of relative price changes, consisting of a series of numbers arranged so that a comparison between the values for any two periods or places will show the average change in prices between periods or the average difference in prices between places.

A college student purchases 4 movie tickets for $7 each, 2 CDs for $13 each, and 20 gallons of gasoline at $2 a gallon during the base period.

Gas will cost $2.25 per gallon in the upcoming month, CDs will cost $12.50 each, and cinema tickets will cost $7.50

The price index

=(price in current year/price in last year) x 100

=100/94 x 100

=106.38 or 106.4

The change in the price level from the first to the second month is 106.4

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The equality of the respective angles and the proportionality of the corresponding sides determine if two triangles are comparable.

Triangle A: 53, 71, Triangle B: 53, 71; Similar

Triangle C: 90, 37, Triangle D: 90, 53; Similar

Triangle E: 63, 45 Triangle F:14, 71; Not similar

Triangle G, 121, Triangles H: 70, Not similar

If two of one triangle's angles are congruent with two of the

angles of a different triangle, then the two triangles are comparable.

Similarity hypothesis, angle, and AA

Given that: The interior product of the AA similarity hypothesis

The angle sum property of a triangle states that the angles of a triangle are 180°,

Consequently, the third angle is also congruent when two angles are

congruent

53, 71 in Triangle A and 53, 71 in Triangle B; similar

Based on the AA similarity postulate, the triangles are similar.

Triangles C (90, 37) and D (90, 53) have similar angles.

Supplied that the given angles are identical to each of their complimentary angles, the triangle is similar.

Triangle F: 14, 71 Triangle E: 63, 45; not comparable

There are no parallel triangles.

Triangles H: 70, not identical to Triangle G's 121,

The details are insufficient.

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The total amount of money collected if Anya and Lauren sold their mangoes at $15 is $10,350

= 575 mangoes

Total number of mangoes = Number of mangoes Anya has + Number of mangoes Lauren has

= 115 + 575

= 690 mangoes

Amount each mangoes was sold = $15

Total amount of money collected = Total number of mangoes × Amount each mangoes was sold

= 690 × 15

= $10,350

So therefore, Anya and Lauren sold their total mangoes for $10,350

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Answer:

D. 9x² - 12x - 1

Explanation:

To find f(g(x)), we need to replace x by g(x) as follows:

f(x) = x² - 5

f(g(x)) = (g(x))² - 5

Then, g(x) is equal to -3x + 2, so replacing g(x) by (-3x + 2), we get:

f(g(x)) = (g(x))² - 5

f(g(x)) = (-3x + 2)² - 5

f(g(x)) = (-3x)² + 2(-3x)(2) + 2² - 5

f(g(x)) = 9x² - 12x + 4 - 5

f(g(x)) = 9x² - 12x - 1

Therefore, the answer is D. 9x² - 12x - 1

Answer:  36 copies per minute

Step-by-step explanation:

126 copies in 3.5 minutes

We want x number of copies per 1 minute

[tex]\frac{126copies}{3.5minutes} = \frac{xcopies}{1minute}[/tex]

Cross multiply and we get

126 = 3.5x

Solve for x.

x = 126/3.5

x = 36

36 copies per minute

The foci of the given ellipse are (D) (0, 5) and (0, -5).

So, the foci of the ellipse are:

(Refer to the graph attached below)

Therefore, the foci of the given ellipse are (D) (0, 5) and (0, -5).

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The correct question is shown below:

Which are the foci of the ellipse represented by 25x² + 16y² = 400?

A. (-3,0) and (3, 0)

B. (-5, 0) and (5, 0)

C. (0, 3) and (0, -3)

D. (0, 5) and (0, -5)

Answer:

20% off is better and it is the only offer which is under the budget.

20% off of the $1,500 dining set is $300, and the dining set price will be 1500 - 300 = $1200.

And by applying the $150 coupon, the dining set price will be $1500 - $150 = $1350.

Therefore 20% off is better and it is the only offer which is under the budget.

Step-by-step explanation:

An expression is a collection of variables and constants that are bound by some mathematical operation the value for w for the given expression w -5.36=10+w/6 is 18.432.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

As per the given expression,

w - 5.36 = 10 + w/6

Subtract w/6 both sides,

w - w/6 - 5.36 = 10 + w/6 - w/6

5w/6 = 10 + 5.36

w = 18.432

Hence "The value for w for the given expression w -5.36=10+w/6 is 18.432".

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Given the equation of a parabola:

• You can rewrite it in Standard Form by following these steps:

1. Add the y-term to both sides of the equation:

2. Subtract the Constant Term from both sides of the equation:

3. Divide both sides of the equation by 5 (the leading coefficient)

4. The coefficient of the x-term is:

Then, you need to add this value to both sides:

Therefore.

5. Rewrite the equation as follows:

• Having the equation written in Standard Form:

You can identify that:

Solving for "p", you get:

• You can identify that:

Therefore, the Vertex is:

• By definition, the Focus of a parabola that opens upward is given by:

Then, in this case, this is:

• By definition, the Directrix for a parabola that opens upward is given by:

Then, in this case, you get:

Hence, the answers are:

• Standard Form:

• Value for "p":

• Vertex:

• Focus:

• Directrix: