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-2/5x-1 1/4

a) The first five terms of the sequence are 1, 3, 9, 27 and 81.

b) The first five terms of the sequence are 1, - 1, - 3, - 5 and - 7.

c) The first five terms of the sequence are 1, 3, 7, 15 and 31.

d) The first five terms of the sequence are 1, 2, 5, 26 and 677.

e) The first five terms of the sequence are 1, 3, 7, 13 and 21.

Recurrence formulas are expressions that generates an element of a sequence in terms of previous elements of the series. Now we proceed to calculate the first elements of each sequence:

Case A

n = 1

a(1) = 1

n = 2

a(2) = 3 · a(1)

a(2) = 3

n = 3

a(3) = 3 · a(2)

a(3) = 9

n = 4

a(4) = 3 · a(3)

a(4) = 27

n = 5

a(5) = 3 · a(4)

a(5) = 81

The first five terms of the sequence are 1, 3, 9, 27 and 81.

Case B

n = 1

b(1) = 1

n = 2

b(2) = - 2 + b(1)

b(2) = - 1

n = 3

b(3) = - 2 + b(2)

b(3) = - 3

n = 4

b(4) = - 2 + b(3)

b(4) = - 5

n = 5

b(5) = - 2 + b(4)

b(5) = - 7

The first five terms of the sequence are 1, - 1, - 3, - 5 and - 7.

Case C

n = 1

c(1) = 1

n = 2

c(2) = 2 · c(1) + 1

c(2) = 3

n = 3

c(3) = 2 · c(2) + 1

c(3) = 7

n = 4

c(4) = 2 · c(3) + 1

c(4) = 15

n = 5

c(5) = 2 · c(4) + 1

c(5) = 31

The first five terms of the sequence are 1, 3, 7, 15 and 31.

Case D

n = 1

d(1) = 1

n = 2

d(2) = [d(1)]² + 1

d(2) = 2

n = 3

d(3) = [d(2)]² + 1

d(3) = 5

n = 4

d(4) = [d(3)]² + 1

d(4) = 26

n = 5

d(5) = [d(4)]² + 1

d(5) = 677

The first five terms of the sequence are 1, 2, 5, 26 and 677.

Case E

n = 1

f(1) = 1

n = 2

f(2) = f(1) + 2 · 2 - 2

f(2) = 3

n = 3

f(3) = f(2) + 2 · 3 - 2

f(3) = 7

n = 4

f(4) = f(3) + 2 · 4 - 2

f(4) = 13

n = 5

f(5) = f(4) + 2 · 5 - 2

f(5) = 21

The first five terms of the sequence are 1, 3, 7, 13 and 21.

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Answer:

Step-by-step explanation:

Given functions h(x)=x²+1 and k(x)=x-2, you want the values of (h+k)(2), (h-k)(3) and 3h(2)+2k(3).

The value of a function f(x) is found by substituting the argument value for x in the function definition, then doing the arithmetic.

The value of a sum or difference of functions is the sum or difference of the values of those functions for the given argument.

  (h+k)(2) = h(2) +k(2) = (2²+1) +(2 -2) = 5 +0 = 5

  (h-k)(3) = h(3) -k(3) = (3² +1) -(3 -2) = 10 -1 = 9

   3h(2) +2k(3) = 3(2² +1) +2(3 -2) = 3(5) +2(1) = 17

The longest part is Part B, which is a little longer than Part A.

The length is the measure of distance or total time from one point to another.

For example, when measuring dimensions, the length also shows the longest side of an object, especially the rectangle.

Together with the width, the length can be used to determine the area of an object or its perimeter.

Part                         A          B          C          D

Length (IN.)          1²/₇        1.3         1.15      ²¹/₂₀

Convert all lengths (A and D) into decimals:

Part                         A                 B           C          D

Length (IN.)         1.29 (1²/₇)       1.3         1.15     1.05 (²¹/₂₀)

Part B's length is the most extended length, followed by Part A, Part C, and lastly, Part D.

Thus, the most extended length of the four parts is Part B.

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Part                         A          B          C          D

Length (IN.)          1²/₇        1.3         1.15      ²¹/₂₀

Answer:

136÷-10-7=-20.6

Step-by-step explanation:

.........

The selling price of the bicycle in discuss upon addition of the mark-up which is 33.3% as described in the task content is; $131.63.

The wholesale cost price of the bicycle in discuss is $98.75 as described in the task content while the markup for the bicycle is as given in the task content.

On this note, it follows that the selling price of the bicycle is the sum of its cost price and it's mark-up. Hence, we have;

Selling price = $98.75 + (33.3% of $98.75)

= $98.75 + (0.333 × $98.75)

= 98.75 + 32.88

= $131.63.

Ultimately, selling price of the bicycle in discuss upon addition of the mark-up which is 33.3% as described in the task content is; $131.63.

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Answer:

-3/4

Step-by-step explanation:

From a point on the graph, count down and count right until you get to a another point. For example, for this problem, you can use (0,-2) as a starting point. From here, if you go down 3 and go right 4, you get another point on the graph. So, the slope is -3/4.

Answer:

Marcus Ran 1.25km farther than cindy

Step-by-step explanation:

After school, Marcus ran 3.2 km and Cindy ran 1.95 km. Who ran farther? How much farther? Marcus ran 1.25 km farther than Cindy.

So, the polynomial with the require properties is x⁵ + x⁴ - 3x³ - 5x² - 2x

A polynomial is an expression of the form aₙxⁿ + aₙ₋₁xⁿ⁻¹ + aₙ₋₂xⁿ⁻² + ... + a₂x² + a₁x + a₀ where aₙ are coefficients and n ≥ 2.

Since we are given a polynomial with the following properties: fifth degree, −1 is a zero of multiplicity 3, 2 is the only other zero.

We have that it has zero at

⇒ x + 1 = 0 and x - 2 = 0

⇒ (x + 1) and (x - 2) are factors of the polynomial

We are told that the polynomial has a zero of -1 with multiplicity of 3. This implies that the factor (x + 1) is repeated 3 times. That is (x + 1)(x + 1)(x + 1)

So, multiplying all four factors we have a polynomial of fourth degree as p(x) = (x + 1)(x + 1)(x + 1)(x - 2)

= (x² + 2x + 1)(x + 1)(x - 2)

= (x³ + 3x² + 3x + 1)(x - 2)

= x⁴ + x³ - 3x² - 5x - 2

To obtain a polynomial of degree 5, we multiply through by x, so we have

g(x) =xp(x)

= x(x⁴ + x³ - 3x² - 5x - 2)

= x⁵ + x⁴ - 3x³ - 5x² - 2x

So, the required polynomial is x⁵ + x⁴ - 3x³ - 5x² - 2x

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Answer:

40

Step-by-step explanation:

Work from left to right.

24* (-2)*5/(-6)= -48*5/(-6)

-48*5/(-6)=-240/(-6)

-240/(-6)=40

Saying that the populations of the U.S. and India went up by 2.6 million and 15.8 million respectively is an absolute comparison.

The relative comparison of the populations of the U.S. and India from 2015 to 2016 would be 0.81% and 1.21% respectively.

In terms of population growth, an absolute comparison is made when the increase in population is denoted through the use of whole numbers. No percentages or fractions are used.

By simply mentioning that the U.S. population rose by 2.6 million and that of India rose by 15.8 million is therefore absolute.

The relative comparison is found as:

= Change in population / Population in 2015

For the United States:

= 2.6 million  / 320.7 million

= 0.81%

For India:

= 15.8 million / 1.31 billion

= 1.21%

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Answer: use your brain you can do it

Step-by-step explanation:

anything is possable with the power of imagination

We get the inequality as:

There is no image to refer. So, here answering in general way.

Given,

The boundary line, y = -3x - 4

We can have 4 cases:

1) A dashed line and the shaded part is above the line.

y > -3x - 4

2) A dashed line and the shaded part is below the line

y < -3x - 4

Here we have dashed lines because the values of the line are not solutions for the inequality.

3) A solid line and the shaded part is above the line.

y ≥  -3x - 4

4) A solid line and the shaded part is below the line.

y ≤  -3x - 4

Here we have solid lines because the values in the line itself are solutions.

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Answer:

Step-by-step explanation:

average rate = f(3) - f(0) / 3 - 0 = 24 - 0 / 3 - 0 = 24 / 3 = 8

According to the venn diagram 21 elements belong to set A but not set B.

A Venn diagram is a diagram that helps us visualize the logical relationship between sets and their elements and helps us solve examples based on these sets. A Venn diagram typically uses intersecting and non-intersecting circles (although other closed figures like squares may be used) to denote the relationship between sets.

The given information is U = 23, n(A)= 21+ 5= 25 and n(B)= 15+5 =20

We have to find how many elements belong to set A but not set B.

In the given Venn diagram , The elements belong to set A but not set B is 21

The elements belong to set A but not set B is 21

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Correct answer is B. The zeros of the function g will be ( -6 and 7.)

(x-7) and (x + 6) are factors in a function g.

To locate: The function g's zeros.

Because x-a=0 x = a, we know that if (x-a) is a function's factor, then x-a is the function's zero.

The fact that (x - 7) and (x + 6) are factors in the function g is a given.

x-7=0

x = 7

Likewise, x+6=0

x = -6

As a result, the function g's two zeros are -6 and 7.

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Answer:  4.1

Step-by-step explanation: You would do 8.2 m/2 because since 1cm =2m the opposite would be 2m = 1 cm so 8.2 = 4.1 because 2/2 = 1

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

Work Shown:

Method 1

List out the first few powers of 'i', where [tex]i = \sqrt{-1}[/tex]

The process repeats every four terms. Divide the exponent by 4 to look at the remainder.

39/4 = 9 remainder 3

Ignore the quotient 9. The remainder is all we care about

Since we get remainder 3, this means i^39 = i^3 = -i

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

Method 2

i^39 = i^(36+3)

i^39 = i^36*i^3

i^39 = i^(9*4)*i^3

i^39 = (i^4)^9*i^3

i^39 = (1)^9*i^3

i^39 = 1*i^3

i^39 = i^3

i^39 = -i

This is a bit longer method, but it helps confirm that i^39 = i^3 = -i we found earlier in the previous section.

Answer:

I think it's 3x + 5 = 21 because three times a number would be 3x so that would eliminate options 2 & 4, then it says five more than three which would be adding five so that would only leave option 1 so that should be your answer

Hope this helps and may God bless you<3

Answer: Can u pls help me withe my question?

Step-by-step explanation:

A number system is defined as the representation of numbers by using digits or other symbols, one hundred twenty one thousand, two hundred eleven in base ten numerals is 10^5+2*10^4+10^3+2*10^2+10^1+1*10^0.

A number system is defined as the representation of numbers by using digits or other symbols in a consistent manner

one hundred twenty one thousand, two hundred eleven is

121211

This can be written in base ten numerals.

121211

=100000+20000+1000+200+10+1

=10^5+2*10^4+10^3+2*10^2+10^1+1*10^0

Therefore one hundred twenty one thousand, two hundred eleven  in base ten numerals is 10^5+2*10^4+10^3+2*10^2+10^1+1*10^0.

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Answer:

Step-by-step explanation:

Answer: the sum of one interior angle and one exterior angle is 180. x+120=180. x=180-120. x=60°. sum of angles in a triangle is 180.

Answer:

y-intercept is -17

x-intercept is 17

Step-by-step explanation:

See attached

The weighted average is -33.

given,(2,8)(-4.-7)and their weighted average is 3:5

Weighted average is a calculation that takes into account the varying degrees of importance of the numbers in a data set. In calculating a weighted average, each number in the data set is multiplied by a predetermined weight before the final calculation is made.

(2,8)x5=10+40

           =50

(-4,-7)x3=-12-21

            =-33

therefoe, the weighted average is -33.

The average is the sum of all individual observations divided by the number of observations. In contrast, the weighted average is observation multiplied by the weight and added to find a solution.

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Answer:

Answer: 3 + 7 + 12 - 2 = 20

Step-by-step explanation:

Answer:

24 goals

Step-by-step explanation:

40/100×60=Adrians goals(g)

g=2400/100

=24

Step-by-step explanation:

24 goals in total I think.

The residual value with an actual value of 10 and a predicted value of 14 will be 4. Then the correct option is D.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

We know that the difference between the predicted value and to actual value is known as the residual value.

Residual value = Predicted value - Actual value

If the observed (actual) y value is 10, and the predicted value is 14. Then the residual value will be

Residual value = 14 - 10

Residual value = 4

The residual value will be 4. Then the correct option is D.

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