inductive reason what is next number in sequence 400, 200, 300, 150, 250​

Step-by-step explanation:

[tex]A(2)=A(2-1)+6=A(1)+6=12+6=18[/tex]

Step-by-step explanation:

17 nickels and 5 quarters I just thought way to much for such a simple question

Answer:

36.8

Step-by-step explanation:

I think A=36.8

Hope it will help you (:

Answer:

[tex] {x}^{2} + 4b = 0 \\ {x}^{2} = - 4b \\ x = \sqrt{ - 4b} \\ x = 2 \sqrt{b} i \\ thank \: you[/tex]

Answer:

21 loads

Step-by-step explanation:

357/17=21

Answer:

0.4583

Hope it helps you!!

Answer:

= 77

Step-by-step explanation:

{3 × [tex]2^{2}[/tex] - 3} -2 × 11

Solve the brackets first

{ 3 × 4  - 3} -2 × 11

{12 - 3 }  -2 × 11

9  -2 × 11

9  -22

= -13

Answer:

-13

Step-by-step explanation:

Solve in the bracket first

(3*4 -3) -2 * 11

(12 - 3) -22

9 - 22

-13 is the final answer

     We can solve this problem by using the fact that speed of typing is defined as the words typed in unit time.

Dana will type [tex]2.6\times 10^5[/tex] words in 48.15 hours.

It's given in the question,

Since, 1 minute = [tex]\frac{1}{60}[/tex] hours

Therefore, number of words she can type = [tex]\frac{90}{\frac{1}{60}}[/tex]

                                                                      = 90×60

                                                                      = 5400 words per hour

Number of words Dana types with the given speed in 'x' hours = Speed of typing × Time

= [tex]5400\times x[/tex]

Therefore, [tex]5400\times x =2.6\times 10^5[/tex]

[tex]5400x=260000[/tex]

[tex]x=\frac{260000}{5400}[/tex]

[tex]x=48.15[/tex] hours

               Therefore, Dana types [tex]2.6\times 10^5[/tex] words in 48.15 hours.

Learn more,

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Answer:

The temperature was 80 degrees and it dropped 10 degrees. What is the temperature now?

80 - 10 = 70 degrees

Step-by-step explanation:

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The triangle will have the noted sides the same length. It is best if they are marked as having the same length. The names of the same-length segments tell you the a.pex is point Y.

9514 1404 393

Answer:

  264x³-66x

Step-by-step explanation:

The order of operations requires this be evaluated as ...

  11x(96x÷4x -6) . . . . given

  11x(24x·x -6) . . . . . . division inside parentheses

  11x(24x² -6) . . . . . . multiplication inside parentheses

  264x³ -66x . . . . . multiply by outside factor (use the distributive property)

_____

Additional comment

The appearance of the expression in parentheses may induce you to evaluate it as (96x)÷(4x) = 24. The order of operations requires that you do the division before the multiplication, left to right, so this must be evaluated as ...

  ((96x)÷4)x = 24x²

You need to be very careful with division and with exponents to make sure to follow the Order of Operations exactly. If you have an appropriate calculator, it will do that automatically. For example, if you tell your calculator ...

  (for x=2) 11×2×(96×2÷4×2-6)

it should give you the result 1980, not 396.

Answer:

= 198x

Step-by-step explanation:

11x × { 96x ÷ 4x -6}

11x × { 24x -6}

264x - 66x

= 198x

You got the correct answer

Answer:

The least possible amount of saving they could each have is 36$

Step-by-step explanation:

12+12+12 = 36

9+9+9+9=36

Answer:

-11

Step-by-step explanation:

if you put the numbers of the variebles in, it would be

-6-9+9-5

Answer:

9

-6a = 54

9x = -45

54 + (-45) = 9

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Answer:

  t(n) = -n^2 -n +102

Step-by-step explanation:

We can use the first 3 terms to find a, b, c.

  a(1)^2 +b(1) +c = 100

  a(2)^2 +b(2) +c = 96

  a(3)^2 +b(3) +c = 90

Subtract the first equation from the other two:

  3a +b = -4 . . . . . . [eq4]

  8a +2b = -10 . . . . [eq5]

[eq5] can be reduced to

  4a +b = -5 . . . . . . [eq6]

Subtracting [eq4] from [eq6] gives ...

  (4a +b) -(3a +b) = (-5) -(-4)

  a = -1 . . . . . . . . simplify

Filling that into [eq4], we get

  3(-1) +b = -4

  b = -1 . . . . . . . add 3

Putting the values for 'a' and 'b' into the first equation gives ...

  -1 +-1 +c = 100

  c = 102

Then the n-th term t(n) of the sequence is ...

  t(n) = -n^2 -n +102

_____

Additional comment

As you might guess, there is a generic solution for quadratic sequences. In terms of the first term (a1), first first difference (d1), and second difference (d2), the coefficients can be written as ...

This sequence has first differences of -4, -6, -8, -10, and second differences of -2. Putting the sequence values into the above formulas, we find ...

Answer:

what is statistics ???

explain !!!

Step-by-step explanation:

Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data. ... Probability is a mathematical language used to discuss uncertain events and probability plays a key role in statistics.Please mark me as brainliest

Answer:

[tex]\huge\boxed{-2}[/tex]

Step-by-step explanation:

Use any two points from the line.

Let them be:

(x1,y1) = (0,-2)

(x2,y2) = (-1,0)

Now,

[tex]\displaystyle Slope = \frac{y_2-y_1}{x_2-x_1} \\\\Slope = \frac{0-(-2)}{-1-0} \\\\Slope = \frac{2}{-1} \\\\Slope = -2\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

$1,856.25

Explanation:

To find the square yards, multiply length and width

7.5 * 5 = 37.5

Then, since each square yard costs $49.50, multiply the square yards and the cost

37.5 * 49.50 = 1,856.25

Thus the answer is $1,856.25

The carpet for the room will cost $1,856.25.

This is the product of the unit cost per square yard multiplied by the area of the room.

The area of the room is = 37.5 square yards (Length x Width)

Length of the room = 7.5 yards

Width of the room = 5 yards

Therefore, the total area of the room = 37.5 square yards (7.5 x 5)

Thus, the total area of the room is 37.5 square yards and since each square yard costs $49.50, the total cost for buying the carpet will cost $1,856.25 ($49.50 x 37.5).

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Answer:

44

Step-by-step explanation:

Let S = strawberry count

Chocolate = 1/4 * 80 = 20

Vanilla = 1/5 * 80 = 16

Total = C + V + S

80 = 20 + 16 + S

80 - 20 - 16 = S = 44

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Answer:

  a) J(K(x)) = x; K(J(x)) = x; functions are inverses

  b) f(g(x)) = 8 -x; g(f(x)) = -x; functions are not inverses

  c) f(x) = 4 -x; f^-1(x) = 4 -x. g(x) = x -4; g^-1(x) = x +4

Step-by-step explanation:

a) Substitute for the function argument in the usual way. If the functions are inverses, their composite is the identity function.

  J(K(x)) = J(1/3x -2) = 3(1/3x -2) +6 = x -6 +6 = x . . . . functions are inverses

  K(J(x)) = K(3x +6) = 1/3(3x +6) -2 = x +2 -2 = x . . . . functions are inverses

__

b) f(g(x)) = f(x -4) = 4 -(x -4) = 4 -x +4 = 8 -x . . . . functions are not inverses

  g(f(x)) = g(4 -x) = (4 -x) -4 = -x . . . . functions are not inverses

__

c) To find the inverse function for y = f(x), solve x = f(y).

The inverse of f(x) = 4 -x is ...

  x = f(y) = 4 -y

  y = 4 -x . . . . . add y-x to both sides

  f^-1(x) = 4 -x

and for g(x) = x -4, the inverse is ...

  x = g(y) = y -4

  x +4 = y

  g^-1(x) = x +4

Answer:

600,000+80,000+700+5

The path between each building is an illustration of Pythagoras theorem.

See attachment for a copy of the given image.

The sidewalk between library and humanities

This is represented with (a).

The value of (a) will be calculated using Pythagoras theorem.

So, we have:

[tex]a^2 = 15^2 + 15^2[/tex]

[tex]a^2 = 450[/tex]

Take square roots

[tex]a = 21.21[/tex]

Sidewalk between chemistry and library

This is represented with (d).

First calculate the value of (b) and (c)

[tex]c + 15 = 30[/tex]

So:

[tex]c = 15[/tex]

Also:

[tex]b + 15 = 40[/tex]

So:

[tex]b = 25[/tex]

The value of (d) will be calculated using Pythagoras theorem.

[tex]d^2 = b^2 + c^2[/tex]

[tex]d^2 = 25^2 + 15^2[/tex]

[tex]d^2 = 850[/tex]

Take square roots

[tex]d = 29.15[/tex]

The sidewalk between chemistry and humanities

This is represented with (e).

The value of (e) will be calculated using Pythagoras theorem.

[tex]e^2 = d^2 + a^2[/tex]

[tex]e^2 = 850 + 450[/tex]

[tex]e^2 = 1300[/tex]

Take square roots

[tex]e = 36.06[/tex]

Learn more about Pythagoras theorem at:

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Answer:

  C.  (x -1)/(x +7)

Step-by-step explanation:

The factor (x +1) in the numerator cancels the same factor in the denominator, leaving the ratio (x -1)/(x +7). This matches choice C.

_____

Additional comment

Even though (x+1)/(x+1) = 1 and can be removed from the expression, the fact that it is undefined at x=-1 means the reduced ratio (x-1)/(x+7) is only a valid representation of the original ratio when x≠-1. The factor (x+1) may be gone, but the domain restriction associated with it remains.

Step-by-step explanation:

We are going to use the following properties of logarithms to solve this problem:

[tex]\log{\dfrac{a}{b}} = \log{a} - \log{b}[/tex]

and

[tex]\log{ab} = \log{a} + \log{b}[/tex]

So we can rewrite the given equation as

[tex]\log{2x^3} - \log{x} = \log{\left(\dfrac{2x^3}{x}\right)} = \log{2x^2}[/tex]

Also,

[tex]\log{16} + \log{x} = \log{(16x)}[/tex]

So we can write

[tex]\log{2x^2} = \log{(16x)}[/tex]

or eliminating the log symbols, we get

[tex]2x^2 = 16x[/tex]

The solutions for the equation above are

[tex]x = 8\:\text{and}\: 0[/tex]

Answer =1267.2

Step-by-step explanation:

6(3+5)26.4

6×8×26.4

48×26.4

1267.2 is the answer

Answer:

x = 5.5 inches.

Step-by-step explanation:

The perimeter is the sum of the 3 sides, so:-

x + x + 3 + 2x + 5 = 30

4x + 8 = 30

4x = 22

x = 5.5.