A state offers specialty license plates that contain 2 letters followed by 3 numbers. License plates are assigned randomly. All license plates are equally likely. Find the number of possible license plates that can be issued using this system.

A. 82 possible license plates
B. 67,600 possible license plates
C. 676,000 possible license plates
D. 36 possible license plates

Answer:

637

Step-by-step explanation:

rectangle =

12*16*2 = 384

triangle = 12*16/2

= 96

semi circle = pie*hyp^2/2

= pie * (sqrt(12^2+16^2))^2/2

=157

Answer:

(-2, 17)

Step-by-step explanation:

the first step you can do to find the vertex is to find the axis of symmetry

the equation for that is -b/2a

-(16) / 2(-4)

-16 / 8 = -2

the axis of symmetry is x =-2 so you plug in -2 to the equation

-4(-2)^2 - 16(-2) + 1

-4(4) + 32 + 1

-16 + 33

17

the vertex is (-2, 17)

Answer:

Step-by-step explanation:

Givens

Number of baskets sold = 83575

sale price of each = x

Fixed Cost of producing these baskets = 817363.50

Variable cost whis is part of the production of each basket = 12.17

Break Even means the costs = income.

Equation

83575*x = 12.17*83575 + 817363.50       Combine the multiplied facts

Solution

83575x = 1017107.75 + 817363.50          Combine addition on right

83575x = 1834471.25                               Divide by 83575

x = 1834471.25/83575

Answer: x = 21.95

Answer: 16

Step-by-step explanation:

Answer:

13.03

Step-by-step explanation:

Suppose ( x₁ , y₁ ) =  ( − 2 , − 4 )  and  (x₂ , y₂ ) = (5 , 7)

In the formula  :  d = √ [( x₂− x₁ )² + ( y₂ − y₁ )²]

Just replace x₁ by -2

       replace y₁ by -4

       replace x₂ by 5 

       replace y₂ by 7

We get ,

d = √ [( 5− (-2) )² + ( 7 − (-4) )²]

Then

d = √ [(7 )² + ( 11 )²]

d = √ [49 + 121]

d = √ [170]

  ≈ 13.03

Answer:

option c

Step-by-step explanation:

Area of triangle:

a = 2 and c = 3

base = 6ac²

         = 6 *2 * 3 * 3

        = 108 cm

height = base + 3

          = 108 + 3

          = 111 cm

[tex]\boxed{\text{Area of a triangle = $ \dfrac{1}{2}*base*height$}}[/tex]

                              [tex]=\dfrac{1}{2}*108*111\\\\\\= 54*111\\\\=5994 \ cm^{2}[/tex]

Answer:

5,994 cm²

Step-by-step explanation:

Formula

Given

Solving

Answer:

See below ↓

Step-by-step explanation:

Our equation :

(A) Infinitely Many Solutions

(B) No solution

(C) One solution at (4, 3)

The percent of the utterances in the sample need to be 1 word in length is 13.3%.

Your information is incomplete. Therefore, an overview will be given. Let's assume that the number if 1 word is 12 and the total number of words given is 90.

Therefore, the percentage will be:

= 1 word/Total words × 100

= 12/90 × 100.

= 13.3%

In conclusion, the percentage is 13.3%.

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Answer:

y=3x

Step-by-step explanation:

Answer:

y = 3x

Step-by-step explanation:

subtract 6x to the other side

divide by -2

there is no y-intercept because it's 0

Answer:

The answer is

3a+30

Step-by-step explanation:

I hope this helped

Answer:

Einstein went on to present his findings mathematically: energy (E) equals mass (m) times the speed of light (c) squared (2), or E=mc2.

The secret the equation revealed—that mass and energy are different forms of the same thing—had eluded scientists for centuries. 

×

E=mc2

In Einstein's first paper about energy and mass, E=mc2 doesn't actually appear anywhere—he originally wrote the formula as m=L/c2. What happened? Einstein was using "L" (for Lagrangian, a general form of energy) instead of "E" for energy. Later, he replaced "L" with "E," rearranged the variables, and the famous form of the equation emerged.

The implications of E=mc2 are profound. For centuries, scientists had considered energy and mass to be completely distinct and unrelated to each other. Einstein showed that in fact, energy and mass are different forms of the same thing. Einstein himself was surprised by the finding, calling it "amusing and enticing" and wondered "whether the Lord is laughing at it and has played a trick on me."

The table of the average number of tornadoes is an illustration of proportions

The average number of tornadoes in April is 28

From the table, we have:

Average number of tornadoes in May in Texas = 43

From the question, we have:

May = 154% * April

This gives

43 = 154% * April

Express as decimal

43 = 1.54 * April

Divide both sides by 1.54

April = 27.9

Approximate

April = 28

Hence, the average number of tornadoes in April is 28

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Answer:

1000

Step-by-step explanation:

Let's round!

96.8 can be rounded to 100

9.74 can be rounded to 10

100*10=1000

Hope this helps!

The estimated value of the given product is 970. The given product is (96.8×9.74). This is obtained by using the rounding-off method.

The given product is (96.8×9.74)

Here the first decimal number in the product is 96.8

Since the digit after the decimal point 8 is nearer to the value of 10, it is rounded to 97. I.e., 96.8≅97

And the second decimal number is 9.74

Since the digit after the decimal 7is nearer to the value of 10, it is rounded to 10. I.e., 9.74≅10

So, the product is  97×10=970

Thus, 96.8×9.74≅970 (approx.)

Therefore, the estimated value is 970.

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Answer:

the future value would be 473.72 if p is referring to future value

if p is referring to present value it is 121.59

if p is referring to payment it is 58.37

Step-by-step explanation:

you can use spreadsheets to solve this equation using =pmt/=fv/=pv

Step-by-step explanation:

[tex]s .i = \frac{prt}{100} [/tex]

[tex]240 = p \times \frac{12}{100} \times 6[/tex]

[tex]240 = \frac{18}{25} p[/tex]

[tex]240 \div \frac{18}{25} = p[/tex]

[tex]p = 333.3333[/tex]

Answer:

See below ↓

Step-by-step explanation:

1.

2.

3.

Answer:

The answer is C

Step-by-step explanation:

9(x+6)

Hope it helps.

Do comment if you have any query.

Answer:

Step-by-step explanation:

Formula (Normal Area Trapezoid)

A = (b1 + b2 ) * h / 2

Formula (Trapezoid Modified for the question)

b1 + b2 is given as 90

Area = 90*h / 2

Givens

b1 + b2 = 90

Area = 1170

h = ?

Solution

Area = 90 * h / 2               Substitute  the givens into the formula

1170 = 90 * h/ 2                 Divide by 2 on the right.

1170 = 45 * h                      Divide both sides by   45

1170 / 45 = 45 * h/45

Answer: h = 45 inches.

The Answer is

7 - 2x

Step-by-step explanation:

23 -14x + 12x - 16

(23 - 16) + (-14x + 12x)

= 7 - 2x

hope this help a'lot

The expression equivalent to 23−14x+12x−16 is 7 - 2x

Here we simply take our expression to simplify it.

We start with:

23−14x+12x−16

First, we combine all the terms having x and combine other constant values.

(23 - 16) + (-14x + 12x)

Now we solve the two parts of the above expression we will get,

7 + (- 2x)

Simplifying we get,

7 - 2x

Therefore  the equivalent expression is 7 - 2x

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Answer:

66%

Step-by-step explanation:

This doesn't really require any equations, it's just brain work.

15 can be easily divided into 3 parts, each part consisting of 5 units. Here, it will be 5 minutes, then, if it's 5 minutes for each 33%(this number is rounded), then, that means that for 10 minutes, it will be 66%. You can understand this because the amount of increase in minutes is 10 minutes, and if each 5 minutes = 33% of increase, then 33+33=66, so hence, our answer is 66%.

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[tex]w = \frac{3}{5} [/tex]

Answer:

option 4

Step-by-step explanation:

To write in terms of y

Step 1: subtract k from both sides

[tex]\sf \dfrac{ey}{n} + k - k = t -k\\\\\\\dfrac{ey}{n}=t-k[/tex]

Step 2: Multiply the entire equation by n

[tex]\sf n*\dfrac{ey}{n}=n*(t-k)\\\\\\ey=n(t-k)[/tex]

Step 3: Divide the entire equation by 'e'

[tex]\sf \dfrac{ey}{e}=\dfrac{n(t-k)}{e}\\\\\\\boxed{y =\dfrac{n(t-k)}{e}}[/tex]

Answer:

I am not sure but I thing it is -2.

Step-by-step explanation:

Hope it helps! (Please mark brainliest if it does!)

1.6667

Step-by-step explanation:

the lengths are the same on both sides which makes the triangles equilateral

therefore the scale=5/3

=1.6667

Answer:

75 physiology Textbook was sold and 150 sociology textbook was sold

Step-by-step explanation:

Let x represent textbook

2x + x = 225

⇒3x = 225

⇒[tex] \sf \frac{\sout{3}x}{\sout{3}} = \frac{225}{3}[/tex]

⇒x = 75

75 textbooks for physiology

To find How many textbook for sociology

Multiply 2 by the amount of physiology

⇒2 × 75

⇒150 sociology textbook

Answer:

let the number be x.

(x+6)/10 = 3

x+6 = 30

x =24

Answer:

24 units²

Step-by-step explanation:

Given:

To find:

The area enclosed by these lines can be expressed as:

[tex]\displaystyle \large{\int_0^6 \int_2^6 dy dx }[/tex]

For:

[tex]\displaystyle \large{\int_2^6 dy}[/tex]

Recall:

[tex]\displaystyle \large{\int_a^b dy = [y]_b^a = a-b}[/tex]

Therefore:

[tex]\displaystyle \large{\int_2^6 dy = [y]_2^6 = 6-2 = 4}[/tex]

Now we we have:

[tex]\displaystyle \large{\int_0^6 4dx}[/tex]

Recall:

[tex]\displaystyle \large{\int_a^bk dx = [kx]_a^b = kb-ka}[/tex]

for k = constant

Therefore:

[tex]\displaystyle \large{\int_0^6 4 dx = [4x]_0^6 = 4(6)-4(0) = 24}[/tex]

Hence, the area of region is 24 units²