What is the 45th term of the sequence generated by the formula (-1) 2n+1 ?

Answers

Answer 1

Answer:

−0.989010989010

Step-by-step explanation:

what is the 45th term of a sequence generated by the formula tn=(-1)^n * (2n/2n+1)?

When n= 45

tn=(-1)^n*(2n/2n+1)

tn = (-1)^45 * ( 2(45) / 2(45) + 1

= -1 * 90 / (90+1)

= -90 / 91

= −0.989010989010

The 45th term of the sequence generated by the formula tn=(-1)^n*(2n/2n+1) is −0.989010989010


Related Questions

Brad gets an allowance of $16 each week, and his younger sister Samantha gets an allowance of $9 each week. Brad saves one-half of his allowance, and Samantha saves two-thirds of her allowance. Suppose Brad started with $0 savings, and Samantha started with $40. How many weeks will it take until they have the same amount in savings?

Answers

Answer:

20 weeks

Step-by-step explanation:

To be able to find the amount of weeks that it will take them to have the same amount, you can say that the amount that Brad saves each week for the number of weeks is equal to the amount that Samantha saves each week for the number of weeks plus the initial amount she has:

(16*1/2)*x=((9*2/3)*x)+40, where

x is the number of weeks

Now, you have to solve for x:

8x=6x+40

8x-6x=40

2x=40

x=40/2

x=20

According to this, the answer is that it will take them 20 weeks to have the same amount in savings.

i’ve been trying to figure out this answer. it’s algebra. at first i got 76 but i’m pretty sure it’s wrong.

Answers

Answer:

36

Step-by-step explanation:

● 3[ (4-2)^5 -20]

● 3 ( 2^5 -20 )

● 3 (32-20)

● 3× 12

● 36

"the sum of a number and 4."
answer?

Answers

Answer:

4+x

Step-by-step explanation:

[tex]Let\: the\:unknown\:number\:be \:x\\\\= x +4[/tex]

Answer:

x + 4

Step-by-step explanation:

The sum - '+'

Of a number - 'x'

And four - '4'

The sum of a number and 4 would be 'x + 4'.

Hope this helps.

Help me please I’ll give brainliest PLEASE HELP ASSP

Answers

Answer:

fundamental orders of connecticut

Step-by-step explanation:

Find the sum. 5/6 + 4/9

Answers

Answer:

The answer is 23/18..

5/6+4/9=23/18.

Answer:

Exact Form:

23/18

Decimal Form:

1.27

Mixed Number Form:

1 5/18

Step-by-step explanation:

can you please help me ​

Answers

Answer:

(5, 6)

Step-by-step explanation:

(5, 6)

x, then y.

one grid space is one up or down.

Good luck mate :)

If the measure of an angle is 13º, find the measure of its supplement.

Answers

Answer:

167°

Step-by-step explanation:

The supplement of an angle will always be the measure of an angle, when added to the original, will equal 180°.

If we know the measure of 1 of these angles, we can easily find the measure of the other, assuming x is the missing angle measure.

[tex]13+x=180[/tex]

We can subtract 13 from both sides to get the value of x.

[tex]13+x-13=180-13\\\\x=167[/tex]

Hope this helped!

Answer:

167

Step-by-step explanation:

Supplementary angles add to 180

x+13 = 180

Subtract 13 from each side

x = 180-13

x =167

The supplement to 13 is 167

Name two lines in the diagram.

Answers

Answer: Line BC and Line DE

Step-by-step explanation:

In geometry terms, we can say that for any set of two points, we always can find a line that passes through them.

For example, in the image, we can see two lines (but actually we could make more with those points)

We can see a line that connects points B and C, and we can call that line as:

Line BC

We also can see a line that connects the points D and E, we can call this line as:

Line DE

So the two lines are: Line BC and Line DE

Simplify the following polynomial expression (5x2y-3xy-8)+(7xy+4)

Answers

Answer:

5x²y + 4xy - 4

Step-by-step explanation:

Step 1: Write out expression

5x²y - 3xy - 8 + 7xy + 4

Step 2: Combine like terms (xy)

5x²y + 4xy - 8 + 4

Step 3: Combine like terms (constants)

5x²y + 4xy - 4

.$/8): sodium disorder so dish dkdorifh so dish d jsiduchsisjdb sidixbdiie

Slope m = -5 y= intercept -4 What is the equation?

Answers

Answer:

[tex]\huge\boxed{y = -5x - 4}[/tex]

Write an equation in the format y = mx + b, or the slope-intercept formula, where:

m = slope

b = y-intercept

Plug in the values given:

y = (-5)x + (-4)

Simplify:

y = -5x - 4. This is the equation in slope-intercept form.

Answer: y=-5x-4

Step-by-step explanation:

Slope intercept form is y=mx+b

Since m represents slope you will plug in -5 because that is your slope.

Since b represents the y-intercept, you will plug in -4 after y=-5x

so therefore your equation is y=-5x-4

Tried my best to explain...

Select the correct answer. Which term is a term in this expression? -3x - 7(x+4) OA x + 4 O B. -7 Ос. -3x OD. -3​

Answers

Answer:

D. -3x

Step-by-step explanation:

Terms have the form k or kx^n, where k is a number, x is a variable, and n is a whole number.

-3x follows the above rule, so -3x is a term.

Answer:

D

Step-by-step explanation:

Hi...

Given that f(x) = x2 + x and g(x) = 3x + 1, find the value of g(f(-2)).​

Answers

Answer:

7

Step-by-step explanation:

[tex]f(x) = x^2 + x\\g(x) = 3x + 1\\\\g(f(-2)) = ?\\f(-2) =?\\[/tex]

To find f(-2) , Substitute -2 for x in the given equation ;

[tex]f(-2)= (-2)^2 +(-2)\\f(-2) = 4-2\\f(-2) = 2[/tex]

To find g(f(-2)) ;

[tex]g(f(-2))\\f(-2) =2\\\\= g(f(-2)) = g(2)\\[/tex]

To find g(2) , substitute 2 for x in the given equation

[tex]g(x) = 3x+1\\g(2) = 3(2)+1\\\\g(f(-2)) = 6+1\\\\g(f(-2))=7[/tex]

Value of g(f(-2)) is equals to 7.

What is composition function?

"Composition function is defined as where two function combined together to create a new function. It is denoted by 'o'."

According to the question,

Given,

f(x) = x² + x

g(x) = 3x + 1

Substitute the value x=-2 in function f(x) we get,

f(-2) = (-2)² +(-2)

      = 4 -2

      = 2                                         ______(1)

Again substitute the value of x = f(-2) in g(x) to get composition function,

g(f(-2)) = 3f(-2) +1

Substitute the value f(-2) from (1) we have,

   g(f(-2)) = 3(2) + 1

g(f(-2)) = 7

Hence, value of g(f(-2)) is equals to 7.

Learn more about composition function here

https://brainly.com/question/20379727

#SPJ2

it would be amazing if you show work please

Answers

Answer:

Domain: [tex](-\infty,\infty)[/tex]

Range: [tex](1,\infty)[/tex]

Step-by-step explanation:

The domain of a function is the span of x-values it covers.

The range of a function is the span of y-values it covers.

From the graph, we can see that the domain stretches infinitely in both directions. Therefore, the domain is all real numbers.

In interval notation, this is:

[tex](-\infty,\infty)[/tex]

For the range, note that horizontal line at y=1.

The dotted line tells us that there is a horizontal asymptote there. In other words, y would never reach exactly 1.

Thus, our range would be all values greater than 1 (to positive infinity).

In interval notation, this is:

[tex](1,\infty)[/tex]

And we're done :)

What is greater 16/28 or 28/49

Answers

Answer:

They are equal.

Step-by-step explanation:

Step 1: Evaluate 16/28

16/28 = 0.571429...

Step 2: Evaluate 28/49

28/49 = 0.571429...

Step 3: Compare

0.571429... ? 0.571429...

0.571429... = 0.571429...

So 16/28 = 28/49

Clare had $110 in her saving. She wanted to buy an MP3 player for $ 118 what is the difference between how much money Clare had and how much she needed

Answers

Answer:

$8

Step-by-step explanation:

We want to find the difference between the money Clare has and the money she needs.

Difference means subtract, so we should subtract the amount of money she has from the amount she needs.

money needed - money she has

She has $110 and she needs $118 to purchase the MP3 player.

$118 - $110

Subtract 110 from 118.

$8

The difference between the money Clare has and the money she needs is 8 dollars.

What is the value of 3.5 (11) + 1.9 (11) + 1.6 (11)?

Answers

Answer:

77

Step-by-step explanation:

3.5(11)+1.9(11)+1.6(11)

3.5(11)=38.5

1.9(11)=20.9

1.6(11)=17.6

38.5+20.9+17.6

77

Your answer is 77

3.5 x 11 = 38.5

1.9 x 11 = 20.9

1.6 x 11 = 17.6

38.5 + 20.9 + 17.6 = 77

If you need It here is my work:

Divide: (5 + 4i) / (-3 – 2i)

Answers

Answer:

-23/13 - 2/13i

Step-by-step explanation:

[tex]\frac{5+4i}{-3-2i}\\\\\mathrm{Apply\:complex\:arithmetic\:rule}:\\\\\quad \frac{a+bi}{c+di}\:=\:\frac{\left(c-di\right)\left(a+bi\right)}{\left(c-di\right)\left(c+di\right)}\:=\:\frac{\left(ac+bd\right)+\left(bc-ad\right)i}{c^2+d^2}\\\\a=5,\:b=4,\:c=-3,\:d=-2\\\\=\frac{\left(5\left(-3\right)+4\left(-2\right)\right)+\left(4\left(-3\right)-5\left(-2\right)\right)i}{\left(-3\right)^2+\left(-2\right)^2}\\\\Refine\\=\frac{-23-2i}{13}\\\\[/tex]

[tex]\mathrm{Rewrite\:}\frac{-23-2i}{13}\mathrm{\:in\:standard\:complex\:form:\:}-\frac{23}{13}-\frac{2}{13}i\\[/tex]

b mi
a mi
a. Perimeter:
b. Area:
What is the perimeter and the area?

Answers

a. 2 (a mi) + 2 (b mi)
b. (a mi)(b mi)

6x - 5 = 2 Times 3x + 4
What’s the answer
And does it have an infinite solutions.
WILL MARK BRAINLIEST

Answers

Answer:

no solution

Step-by-step explanation:

u cant multiply when there is an equal

Answer:

6x−5=(2)(3)x+4

Step 1: Simplify both sides of the equation.

6x−5=(2)(3)x+4

6x+−5=6x+4

6x−5=6x+4

Step 2: Subtract 6x from both sides.

6x−5−6x=6x+4−6x

−5=4

Step 3: Add 5 to both sides.

−5+5=4+5

x=9

Please answer ASAP! Describe how you would graph a figure that is translated by (x - 4, y + 2). I will pick you as brainliest!

Answers

Answer:

the answer is 3820

Step-by-step explanation:

first you do 28 +38 which is 393 and then you do 383_jals which is 69, please mark me as brainiest

Is it true that ƒ −(g − h) = (ƒ − g) − h? Explain why you believe the equation is true or provide a counterexample to show that it is not.

Answers

Answer:

The expression is false

Step-by-step explanation:

Given

[tex]f - (g - h) = (f - g) - h[/tex]

Required

True or False

To determine if the expression is true or false, we need to simplify both sides of the equation

[tex]f - (g - h) = (f - g) - h[/tex]

Start by opening the bracket on the right hand side

[tex]f - (g - h) = f - g - h[/tex]

Then open the bracket on the left

[tex]f - g + h = f - g - h[/tex]

Subtract f - g from both sides

[tex]f - g - (f - g) + h = f - g - (f - g) + h[/tex]

[tex]f - g - f + g + h = f - g - f + g - h[/tex]

[tex]f - f - g + g + h = f - f - g + g - h[/tex]

[tex]h \neq -h[/tex]

Hence;

The statement is false

To further check;

Assume f = 5; g = 4 and h = 3

[tex]f - (g - h) = (f - g) - h[/tex] becomes

[tex]5 - (4 - 3) = (5 - 4) - 3[/tex]

[tex]5 - 4 + 3 = 5 - 4 - 3[/tex]

[tex]2 \neq -2[/tex]

PLEASE HELP ASAP!!! NEED THEM ALL ANSWERED!!!

① Find the Value of x from the image and then find the indicated side length in each rhombus using the equation below:
✧ x = ▢
✧ AB = 5(24) - 87 = ▢

② Find the Value of x from the image and then find the indicated side length in each rhombus using the equation below:
✧ x = ▢
✧ RS = QR = 3(7) = ▢

③ Finish the statements:
✦ First: angle K + angle N = 180 (This one is complete)

✦ Second: x + 68 + 2x + 4 = 180 (This one is complete)

✦ Third: Combine Like Terms.....
✧ ▢ x + ▢ = 180

✦ Fourth: Subtract 72 from both sides!
✧ 3x = ▢

✦ Fifth: Divide both sides by three!
✧ x = ▢

(I don't need the steps, but feel free to show steps as well as the answers. And yes, the pictures are in order.)

Answers

Answer:

1)     x = 24

    AB = 33

    AD = 33

2)     x = 7

    PS = 21

    QR = 21

3)    x = 36

      K = 104

     N = 76

Step-by-step explanation:

1)  5x-87 = x+9

   4x = 96

   x = 96/4

   x = 24

   AB = 5(24)-87 = 33

   AD = 24 + 9 = 33

2)  4x - 7 = 3x

     x = 7

    PS = 4(7) - 7 = 21

    QR = 3(7) = 21

3)  x + 68 + 2x + 4 = 180

    x = 36

    K = 36 + 68 = 104

    N = 2(36) + 4 = 76

how to put -7/9 and -4/9 and 1/9 and 1/2 on a number line from least to greatest

Answers

Step-by-step explanation:

Take the LCM of the denominators:

=> LCM = 18

=> -7/9 x 2/2 = -14/18

=> -4/9 x 2/2 = -8/18

=> 1/9 x 2/2 = 2/18

=> 1/2 x 9/9 = 9/18

When the number is negative, the greater the number, the smaller it is.

So, -14 is smaller than -8.

< = smaller than

=> -14/18 < -8/18 < 2/18 < 9/18

=> -7/9 < -4/9 < 1/9 < 1/2

Answer:

-7/9, -4/9, 1/9, 1/2

There's no change as this list is already from smallest to largest

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

Explanation:

We can get each denominator to 18 as this is the LCD (lowest common denominator)

-7/9 = -14/18 ... multiply top and bottom by 2

-4/9 = -8/18 ... multiply top and bottom by 2

1/9 = 2/18 ... multiply top and bottom by 2

1/2 = 9/18 ... multiply top and bottom by 9

We now have to sort this list {-14/18, -8/18, 2/18, 9/18}

Which is the same as sorting {-14, -8, 2, 9} since we can focus solely on the numerators. This only applies when the denominators are the same.

The list {-14, -8, 2, 9} is already sorted from smallest to largest. Think of a number line. We would have -14 as the left most value, then -8 is next, followed by 2 and then 9.

So the original list of fractions {-7/9, -4/9, 1/9, 1/2} is already sorted from smallest to largest.

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

An alternative is to use your calculator to see that

-7/9 = -0.78 approximately

-4/9 = -0.44 approximately

1/9 = 0.11 approximately

1/2 = 0.50

The order from least to greatest is

-0.78, -0.44, 0.11, 0.50

The -0.78 is smaller than -0.44 since its further away from 0

So the order would be

-7/9, -4/9, 1/9, 1/2

and there's no change from the original order your teacher gave you.

Given g(x)=3x2+3 find x if g(x)=78 Help me please

Answers

Answer:

The answer is 5

Step-by-step explanation:

Given g(x)=3x2+3 find x if g(x)=78 = 5

Hope this helped you :)

Answer:

x = ± 5

Step-by-step explanation:

Given

g(x) = 3x² + 3 and g(x) = 78 , then equate the right sides, that is

3x² + 3 = 78 ( subtract 3 from both sides )

3x² = 75 ( divide both sides by 3 )

x² = 25 ( take the square root of both sides )

x = ± [tex]\sqrt{25}[/tex] = ± 5

That is x = - 5 or x = 5

(-6)(-2x – 4y); x = 1, y = 3

Answers

I need help on this one as well

Answer:

First, you have to substitute your x and y.

This looks like

(-6)(-2 - 12) because you multiplied (-2)(1) and (-4)(3)

Then, you have to do what's in the parenthesis because of order of operations.

(-6)(-14)

The answer is 84 I believe.

what is 9 3/4 as a percentage

Answers

First, turn the fraction into a decimal.

9.75

Second, multiply by 100%.

9.75 * 100% = 975%

Best of Luck!

What is the area of the rhombus

Answers

Answer:

[tex]Area \: of \: rhombus = \frac{pq}{2} [/tex]

Where p is diagonal 1 and q is diagonal 2

Step-by-step explanation:

Different formulas to find the area of a rhombus are:

Formulas to Calculate Area of RhombusUsing DiagonalsA = ½ × d1 × d2

Using Base and HeightA = b × h

Using TrigonometryA = b2 × Sin(a)

Area = d1×d2÷2

En un pastel que se quiere repartir a 5 personas, se logran generar 8 piezas al cortarlo, cual de las siguientes expresiones refleja esta acción: ⅕ ⅝ ¾

Answers

Answer:

La respuesta es 1/5.

Step-by-step explanation:

porque el 1 pastel se divide en 5 personas.

Espero que esto ayude.

Find the distance between the points (2,-9) and (-1,4)

Answers

Answer:

The answer is

[tex]\sqrt{178} \: \: or \: \: 13.34 \: \: units[/tex]

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(2,-9) and (-1,4)

The distance between them is

[tex]d = \sqrt{ ({2 + 1})^{2} + ({ - 9 - 4})^{2} } \\ = \sqrt{ {3}^{2} + ({ - 13})^{2} } \\ = \sqrt{9 + 169} \\ [/tex]

We have the final answer as

[tex] \sqrt{178} \: \: or \: \: 13.34 \: \: units[/tex]

Hope this helps you

Answer:

[tex]\sqrt{178}[/tex] ≈ 13.3

Step-by-step explanation:

Calculate the distance using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (2, - 9) and (x₂, y₂ ) = (- 1, 4)

d = [tex]\sqrt{(-1-2)^2+(4+9)^2}[/tex]

   = [tex]\sqrt{(-3)^2+13^2}[/tex]

   = [tex]\sqrt{9+169}[/tex]

   = [tex]\sqrt{178}[/tex] ≈ 13.3 ( to 1 dec. place )

(5/2)x=5 please help me

Answers

Answer:

x=2.5

Step-by-step explanation:

2.5x=5

subtract 2.5 from itself and 5

x=2.5

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A. exposition B. climax C. falling action D. resolution Can anyone help me with my maths questions ? please What helps notions such as fairness,honesty,and reciprocity to be codified into law?A) The notions are synonymous with law.B) The notions differ to some degree in different cultures around the globe.C) The notions are universal norms.D) The notions are characteristics inherited by each person irrespective of the culture. Factor 9x2 - 4y2 Group of answer choices (3x - 2y) (3x + 2y ) (3x - 2y) (3x - 2y ) (x - 2y) (x + 2y ) (3x - y) (3x + y ) Pablo drew a square that had a side of length of 6 inches. What is the perimeter of pablos square Please help!!! keep in mind this is a REVIEW question. Which of the following is NOT a congruence transformation? A. a dilation with scale factor 1 B. a reflection across the y-axis C. a translation 5 units down D. a dilation with scale factor 2 A star is measured to be 24 kiloparsecs from Earth. A kiloparsec is 1000 parsecs. A parsec is 3.26 light-years. How many light-years away is this star? Give an example of an EQUATION with no solutions. Explain why it has no solutions? Kentucky Company uses the indirect method to prepare the statement of cash flows. Refer to the following income statement: Kentucky Company Income Statement Year Ended December 31, 2019 Sales Revenue 253,000Interest Revenue 3,000Gain on Sale of Plant Assets 6,000Total Revenues and Gains $262,000Cost of Goods Sold 118,000Salary Expense 43,000Depreciation Expense 13,000 Other Operating Expenses 22.000 Salary Expense 43,000Interest Expense 1,700Income Tax Expense 5,500Total Expenses 203,000Net Income (Loss) $58,000Additional information provided by the company includes the following: 1. Current assets, other than cash, increased by $22,000. 2. Current liabilities decreased by $1,100. Compute the net cash provided by (used for) operating activities.A. $42,700.B, $48,700.C. $35,700.D. $13,100. Suppose your car averages 38 miles per gallon on the high-way if your average speed is 55 miles per hour, and it aver-ages 32 miles per gallon on the highway if your average speedis 70 miles per hour.a. What is the driving time for a 2000-mile trip if you driveat an average speed of 55 miles per hour? What is the drivingtime at 70 miles per hour?b. Assume a gasoline price of $2.55 per gallon. What is thegasoline cost for a 2000-mile trip if you drive at an averagespeed of 55 miles per hour? What is the gasoline cost at70 miles per hour?Some one please help me on these questions! Theyre getting a little harder now!!