Mr. Red's first year salary is $30,000 and it increases by $500 each year. What is the explicit rule for this sequence in simplified form?

What is the recursive rule?

Answer:

C. 1/a¹²

Step-by-step explanation:

Formula

Applying that here :

Answer:

a^1/12 or choice A

Step-by-step explanation:

Given:

[tex]\displaystyle \large{\dfrac{a^{\dfrac{1}{3}}}{a^{\dfrac{1}{4}}}}[/tex]

Law of Exponent (Division Property):

[tex]\displaystyle \large{\dfrac{a^m}{a^n} = a^{m-n}}[/tex]

Therefore:

[tex]\displaystyle \large{a^{\dfrac{1}{3}-\dfrac{1}{4}}}[/tex]

Then evaluate the fractions. Keep in mind that we can only evaluate fractions with same denominator. Therefore, calculate the LCM of 3,4 which is 12:

[tex]\displaystyle \large{a^{\dfrac{4}{12}-\dfrac{3}{12}} = a^{\dfrac{1}{12}}}[/tex]

Therefore, the solution is a^1/12 or choice A

Step-by-step explanation:

There is a vertical asymptote x=3 and x=-1 so our rational function will contain

(x-3)(x+1).

Since we have a horinzintal asymptote, our numerator will be either a constant function, or linear function.

we have a zero at approximately, at 1 so our numerator will include

[tex] \frac{x - 1}[/tex]

So our rational function is

[tex] \frac{x - 1}{(x - 3)(x + 1)} [/tex]

There is a vertical asymptote x=3 and x=-1 so our rational function will contain option C [tex]f(x) = \dfrac{x-1}{(x-3)(x+1)}[/tex].

The line y = a is a horizontal asymptote if the function f(x) tends to 'a' from the upside of that line y = a, or from downside of that line.

Since we have a horizontal asymptote, our numerator will be either a constant function or a linear function.

We have given a zero at approximately, 1 so our numerator will include (x-1).

So our rational function is

[tex]f(x) = \dfrac{x-1}{(x-3)(x+1)}[/tex]

Learn more about horizontal asymptotes here:

https://brainly.com/question/2513623

#SPJ5

Answer:

109.2 degrees

Step-by-step explanation:

Use the cos law to find angle F

3.1^2 = 2^2 + 1.8^2 - 2 (2)(1.8) cos F

shows cos f = -.329

arc cos( - .329) = angle F =109.2 degrees

Answer:

Step-by-step explanation:

Remark

I think the easiest way to do this is to calculate the probability of those that are 12 to 24. Then subtract the decimal you get from 1. That saves you adding up 3 numbers to get the same answer.

Givens

Total number of movie goers = 3880

Total number that are between 12 and 24 = 1180

Solution

Probability of a random person being drawn from 1180

people between 12 and 24 = Those between 12 and 24 = 1180

Total Number = 3880

P(12 - 24) = 1180 / 3880

P(12 -24) = 0.3041

Remember, that's not what you want. You want everyone else

P(not(12-24)) = 1 - 0.3041

Answer 0.6959

Answer:

I think it is since i already passed that i think that is correct , well good job !!

Step-by-step explanation:

Answer:

The axis of symmetry is x=2

Step-by-step explanation:

Answer:

3.1

Step-by-step explanation:

ok so, 3.14 rounded to the nearest tenth is 3.1

also, keep this in mind

if it is 5 and up it will be able to round up but if it is 4 round it down

Answer:

12.0

Step-by-step explanation:

        [tex]c^{2} = 8^{2} + 9^{2}[/tex]

            = 64 + 81

            = 145

     [tex]\sqrt{c^{2} } = \sqrt{145}[/tex]

Therefore,

          c = 12.0 (3 s.f.)

Answer:

Step-by-step explanation: the meter is a unit of value in the US customary system

Answer: The gram is a unit of mass in the metric system

Answer:

2.3?

Step-by-step explanation:

i just divided it 14 ÷ 6

Answer:

The least common denominator of [tex]-1\frac{2}{8}[/tex] and [tex]2\frac{3}{4}[/tex] is 8

Answer:

False

Step-by-step explanation:

I'm assuming its because x isn't negative infinity because the leading coefficient is positive

Answer: D

Step-by-step explanation:

Adjacent sides of a rectangle are perpendicular. This means that the measure of angle HEF is 90 degrees.

Answer:

[tex]f(x)=\dfrac{1}{x+4}[/tex]

Step-by-step explanation:

Asymptote: a line which the curve gets infinitely close to, but never touches.

From inspection of the graph, we can see that there is an asymptote at [tex]x=-4[/tex], since the curve gets infinitely close to this line, but never touches it.

Therefore, the function is undefined at [tex]x=-4[/tex]

For a rational function to be undefined, the denominator must equal zero at that point.  Therefore, we are looking for a rational function with a denominator that equals zero when [tex]x=-4[/tex].

Therefore, option D is the correct solution, since:

[tex]f(-4)=\dfrac{1}{-4+4}=\dfrac{1}{0} \implies \sf und efined[/tex]

Multiplication of a positive number and negative number

   ⇒ is like any other multiplication

      30 * -20 = 30 * ((-1) * 20) = 30 * -1 * 20 = (-1) * 600 = -600

Hope that helped!

Answer:

456*567=4890998

46766-6755=566888

Answer:

FGM and reproductive health

Answer:

Step-by-step explanation:

A.)

➝ -3d + 7 = -9

➝ -3d = -7 - 9

➝ -3d = -16

➝ d = -16/-3

➝ d = 16/3

B.)

➝ 8d + 7 = -4(-2d - 4)

➝ 8d + 7 = 8d + 16

➝ 8d - 8d = 16 - 7

➝ 0 = 9

C.)

➝ 5d + 15 = 15

➝ 5d = 15 - 15

➝ 5d = 0

➝ d = 5/0

➝ d = 0

D.)

➝ 2(d + 6) = -2d - 12

➝ 2d + 12 = -2d -12

➝ 2d + 2d = -12 -12

➝ 4d = 24

➝ d = 24/4

➝ d = 6

Hence,

68 square inches

=============================================

Explanation:

Refer to the diagram below.

I'll make the yellow sheet  of paper to be 8 by 10, where the horizontal part is 8 and the vertical is 10. The overlapped region has its horizontal part as 8 as well.

The other piece of paper is 8.5 inches by 11 inches. The vertical part of the overlapped region is 8.5 inches.

The overlapped region is a 8.5 inch by 8 inch rectangle with area 8.5*8 = 68 square inches. This makes choice D the final answer.

Answer:

100

Step-by-step explanation:

10 · 10 = 100

Of course it all depends on what the symbols you’re using mean. Assuming the the * means “multiplied by,” the next question is “what is the meaning of the symbols 0 and 1,” but (conventionally) in any field, 0 denotes the additive identity and 1 the multiplicative identity. With those assumptions, the next question is “what is meant by the juxtaposition of those symbols?” Again, the commonly used convention is that, for any numeric field with base b, “10” would mean b, and 100 would be interpreted as b*b.

So, for example, if you’re working with a field where b*b = b (e.g., a modular arithmetic), then 10 and 10*10 would both be 1. On the other hand, if your field is, for example, the integers in base 10 (0, 1, …9), then the other answers would apply.

Bottom line: It all depends on what you assume. Without telling us that, it’s harder to answer your question. Note that the other replies to your question all make some (very commonly agreed upon) assumptions, e.g. that you were working in one of the commonly use, base 10, number fields (integers, real numbers, etc.) where ten sticks, each ten inches long, placed in a straight line, would form a line 100 inches long. (The modular field described above would break the sticks into one inch pieces, stack them on top of each other, and get a line one inch long.)

The probability of choosing a number that is not a multiple of 2 is P = 0.44

We need to count the number of options for each digit.

The total number of combinations is the product between the numbers of options:

C = 8*9*9 = 648

If we want our number to not be a multiple of 2 then it must end in a odd digit, the combinations that meet that condition are:

C = 8*9*4 = 288

Then the probability of selecting a 3 digit number that is not a multiple of 2 is:

P = 288/648 = 0.44

If you want to learn more about probability, you can read:

https://brainly.com/question/251701

21/(1.5 million) = 0.0014%

Answer:

389.7 square inches

Step-by-step explanation:

equilateral triangle = each side has the same lenght

90 inches / 3 = 30 inches each side

----------------------------------------------------------

Pythagoras

30^2 = 15^2 + x^2

900 - 225 = x^2

v 675 = x

25.98 = x

x = height

----------------------------------------------------------

Area = BxH/2

B = 30 inches

H = 25.98

(30 x 25.98) /2 = 389.7 square inches

Answer:

390 in²

Step-by-step explanation:

Length of the sides of the triangle = 90/3 = 30 in

area of a triangle = (base × height)/2

height of an equilateral triangle with sides of length x  [tex]=\frac{\sqrt{3} }{2}x[/tex]

Then the height of our triangle [tex]=\frac{\sqrt{3} }{2} \times30=26[/tex]

Conclusion:

area of the triangle = (30 × 26)/2 = 390 in²

Answer: D

Explanation: Anything times 0 is 0.

Answer:

Step-by-step explanation: first  change 2 1/4 to a improper fraction

you are going to have 9/4 next add 9/4 plus 3/4 which will be equal to12/4 which is the same as 3

Answer:

The answer would be two feet.

Step-by-step explanation:

Step 1. Do 10-6 (10 being the total space and 6 being the painting)
Step 2. Get the answer of 4.
Step 3. Divide four by 2 because it needs to be centered.
Step 4. Get the answer of two feet on each side.
I hope this helps! :)

Answer:

Step-by-step explanation:

Answer:

y = -x - 4

Step-by-step explanation:

m = (-5-0)/(1+4) = -5/5 = -1

b = (0, -4)

y = mx + b

y = -x - 4

Answer:

y = -x - 4

Step-by-step explanation:

Slope-intercept form is:

y = mx + b

The b is the y-intercept. That is where the line crosses the y-axis. This line crosses the y-axis at -4.

You could calculate the slope, but with a graph, you can SEE the slope without doing any calculation. Find a point on the line, any point. To get to the next point, you go DOWN1 and OVER1, (down1, over1, down1, over1)

This is -1/1. The slope is -1. Fill that in for m.

Leave the x and y as-is in

y = mx + b

fill in -1 for m and -4 for b.

y = -x - 4

If your teacher/prof is expecting to see a calc for slope. Find two points on the line. Subtract y-y and put that on top. Subtract x-x and put that on the bottom. Simplify.

Given points:

(1,-5) and (-4,0)

-5 - 0 is -5, put on top.

1 - -4 is 5, put underneath. You get -5/5, which is -1. Slope is -1.

Answer:

  18.  $5890

  19.  Mitsubishi Mirage

Step-by-step explanation:

The depreciated value can be found using an exponential relation. The decay rate here is given as 12.5%. The exponential function will have the form ...

  y = a·b^x . . . . . a = initial value, b = decay factor = 1 - decay rate

__

The above equation will have a=15,000, representing the initial value of the car. It will have b=(1-0.125) = 0.875, the decay factor for the car's value. In the 7 years between your 18th and 25th birthdays, the car will have declined in value to ...

  y = $15000·0.875^7 ≈ $5890.44

When you turn 25, the car will be worth about $5890.

__

We found three cars with a price under $15,000:

Of these, the Mirage gets the best mileage and has the most cargo space. (It also has the smallest engine.) The Spark has a continuously-variable transmission, not a 5-speed manual, so will be somewhat easier to drive. Its mileage is almost as good, but its range is about 10% less than that of the Mirage or Versa.

(Your curriculum may offer different choices. We cannot tell.)

Perhaps you got a Mitsubishi Mirage.