What is the sum of the infinite geometric series? Sigma-Summation Underscript n = 1 Overscript 3 EndScripts (1.3) (.8) Superscript n minus 1

Answers

Answer 1

Answer:

Sigma-Summation Underscript n = 1 Overscript 3 EndScripts (… ... Underscript n = 1 Overscript 3 EndScripts (1.3) (.8) Superscript n minus 1 ... To get the sum to infinity of the geometric series, we need to get its first term

Step-by-step explanation:


Related Questions

please need help I will be MARKING as BRIANILIST. thank you so much ​

Answers

Answer:

Step-by-step explanation:

a, as the x axis increases, so does the y axis

b, temperature outside v ice cream sales

hours studied v grade on test

c, I cannot do for you, but i can tell you how. Draw a straight line that you feel is an accurate representation of the graph. Then find the slope and write an equation

I am giving you some data, I want you to make up 2 questions about probability using that data.

You have a bowl of Jelly Belly jelly beans. There are 5 flavors, 25 watermelons, 13 tutti fruitti, 45 cherry, 10 cinnamon, 32 buttered popcorn.

Answers

Answer:

What’s the probability of choosing a tutti fruitti and a cherry jelly bean?

What’s the probability of choosing a watermelon, replacing it, then choosing a buttered popcorn?

Step-by-step explanation:

Two sides of a parallelogram are in the ratio 5:4. If the perimeter is 54cm , the length of the larger side is -
9
11
12
15

Answers

Answer:

15 cm

Step-by-step explanation:

If we have two sides of a parallelogram in the ratio 5:4, then the other two sides must also be in the same ratio.

If the perimeter is 54, we can create the following equation regarding the length of each side

[tex]5x+4x+5x+4x=54\\\\18x=54\\\\x=3[/tex]

As our value for x is 3, and we know that the value for the larger side is 5x, we can simply plug in x to get the length of the larger side

[tex]5x\\\\5(3)\\\\15[/tex]

If a book is 33 hour and 45 min long , how many days would it take you to read it if you read 3 hours a day ?

Answers

Answer:

11

Step-by-step explanation:

33.45 ÷ 3 = 11.15 but round it

(im not 100% sure but I hope this helps)

297 miles in 11 gallons of gas what is the unit rate

Answers

Answer: 27 miles in 1 gallon

Step-by-step explanation:

297/11

The unit rate of 297 miles in 11 gallons will be 27 miles/gallons.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b, will be the denominator.

We will be used when division is not possible wholly

For example 4/2 is divisible so we write 2 instant of 4/2 while 1/3 is not divisible so we write 1/3 instant of 0.33.

Proportion is the relation of a variable with another. It could be direct or inverse.

The ratio is very useful to determine complex calculation where decimal number become tough to solve.

Given,

297 miles in 11 gallons

297 miles ⇔ 11 gallons

Divide by 11 on both sides

297/11 miles ⇔ 11/11 gallons

27 miles ⇔ 1 gallon

So, 27 miles in 1 gallon.

Hence unit rate is 27 miles/gallon will be correct.

For more information about ratio and proportion

brainly.com/question/26974513

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In a parallelogram, both paires of oppsite sides are parallel? true or false

Answers

Answer:

True

Step-by-step explanation:

A parallelogram is a quadrilateral with both pairs of opposite sides parallel.

Answer:

True bc both paired of opposite sides are parallel

Step-by-step explanation:

Hope this helps

Correct me if this is wrong

Which statement describes the graph of the function?

Answers

Answer:

The function has a hole when x = 0 and a vertical asymptote when x = 4.

Step-by-step explanation:

The function has a hole when x = 0 and a vertical asymptote when x=4. Therefore, option D is the correct answer.

The coordinates from the given table (-0.2, -0.238), (-0.1, -0.244), (0.1, -0.256), (0.2, -0.263), (3.7, -3.3) (3.8, -5), (3.9, -10), (3.99, -100) and (4.01, 100).

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

From the table, we have:

f(0) = undefined

f(4) = undefined

One of these values (the lesser value of x i.e. x = 0) is a hole, while the other is a vertical asymptote

Using the above as a guide, the correct statement is the function has a hole when x = 0 and a vertical asymptote when x = 4.

The function has a hole when x = 0 and a vertical asymptote when x=4. Therefore, option D is the correct answer.

To learn more about the function visit:

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I need help finding the area of the triangle plz. sorry I don't understand fractions that much

Answers

Answer:

[tex]24\frac{4}{15}\\\mathrm{Decimal:\quad }\:24.26666\\=24.27m^2[/tex]

Step-by-step explanation:

Area of right triangle formula is

[tex]A=\frac{ab}{2} \\\frac{5\frac{3}{5}\cdot \:8\frac{2}{3}}{2}\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 5\frac{3}{5}=\frac{28}{5}\\\frac{\frac{28}{5}\cdot \:8\frac{2}{3}}{2}\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 8\frac{2}{3}=\frac{26}{3}\\\frac{\frac{28}{5}\cdot \frac{26}{3}}{2}\\\mathrm{Multiply\:}\frac{28}{5}\cdot \frac{26}{3}\::\quad \frac{728}{15}\\=\frac{\frac{728}{15}}{2}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{\frac{b}{c}}{a}=\frac{b}{c\:\cdot \:a}\\=\frac{728}{15\cdot \:2}\\\mathrm{Multiply\:the\:numbers:}\:15\cdot \:2=30\\=\frac{728}{30}\\\mathrm{Cancel\:the\:common\:factor:}\:2\\=\frac{364}{15}\\\mathrm{Convert\:improper\:fractions\:to\:mixed\:numbers}:\quad \frac{364}{15}=24\frac{4}{15}\\=24\frac{4}{15}\\\mathrm{Decimal:\quad }\:24.26666[/tex]

Which of the following shows how the number 7 can be rewritten with the difference of squares identity? (16-9)=(4+3)(4-3) (18-11)=(9+6)(9-5) (25-4)=(5+2)(5-2) (16-9)=-1(4+3)(4-3) (64-1)=(8+1)(8-1)

Answers

Answer:

A) (16-9) =(4+3)(4-3)

Step-by-step explanation:

Explanation:-

Given the number = 7

The difference of two numbers  are 16-9 =7

The difference of squares  

                                        4² - 3²  = 7

We will use formula

                 a² - b² = (a-b) (a+b)

                  4² - 3² = (4 -3) (4+3)

                 16 -9 =  (4 -3) (4+3)

Final answer:-

The number 7 can be rewritten with the difference of squares identity

16 -9 =  (4 -3) (4+3)

what is the answer to 23×-5​

Answers

Answer:

23×-5

= -115

The answer is -115, easy peasy

Find the 7th term of the geometric sequence a3 =128,r=-1/4

Answers

Answer:

Step-by-step explanation:

The general formula for this sequence is a(n) = a(1)*(-1/4)^(n - 1).  We don't yet know a(1).

If a(3) = 128, then 128 = a(1)*(-1/4)^(3 - 1), or

128 = a(1)*(1/16)

and so a(1) = 128/16

resulting in the specific formua a(n) = 8(-1/4)^(n - 1)

Now let's find a(7):

a(7) = 8(-1/4)^1 * (-1/4)^(6)

or

a(7) = 8(-1/4)^7

Solve the equation using the Quadratic Formula:

x2 + 6x + 3 = 0

Answers

Answer:

x = -2[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

First we have to distinguish the numbers with x from the "normal" numbers.

2x and 6x are numbers with x.

3 and 0 are "normal" numbers.

Now we have to seperate them on different sides of the equal sign.

To do this, we can subtract 3 from the left side and then add it to 0 on the left side.

Therefore, the equation will now be 2x + 6x = -3.

Now we can add 2x and 6x together, making it 8x.

The equation will now be 8x = -3.

To find the product of x, we need to divide both sides together.

So 8 divided by -3 will make -2[tex]\frac{2}{3}[/tex].

Therefore, x is  -2[tex]\frac{2}{3}[/tex].

Hope my explination makes sense :)

Is figure B a scale copy of figure A. Yes or No Please help me thank you

Answers

Answer:

Yes

because they both face the same direction

and they triangle in shape

No.
It’s easy to notice that 4/2 isn’t equal to 8.9/3.6, or 11.3/5

Select the correct answer from each drop-down menu. The United States can produce 200 pillows in one week, while Spain and France produce 150 and 100 pillows, respectively, in one week. On the other hand, Spain can produce 10 televisions in one week, while the United States and France produce only 5 and 4 televisions, respectively. has an absolute advantage in producing pillows, and has an absolute advantage in producing televisions.

Answers

Answer:

The correct answers is:

The United States has an absolute advantage in producing pillows, and Spain has an absolute advantage in producing televisions

Step-by-step explanation:

Absolute advantage is a term of economics which can be defined as an ability of a person, company or country to produce a greater quantity of goods as compared to his competetors.

We can surely understand that in the pillows market, the United States has an absolute advantage as it is producing about 50 pillows more than Spain and 100 pillows more than France in one week.

Similarly, in the televisions market, Spain has the absolute advantage because Spain is producing 5 more televisions than United States and 6 more televisions than France in one week

please help and answer this for me

Answers

Answer:

Subtract 58 from both sides

Step-by-step explanation:

Solve this problem for x:
2^2x -2^x -2=0

Answers

Answer:

x=1

Step-by-step explanation:

First, you shift the -2 to the other side. Your new equation is 2^2x -2^x=2. Then, you continue to solve and simplify the equation. Your final answer will be x=1.

if -2 is a root of the equation 3x2 +7x + p = 0, find the values of k for which the roots of the equation x2 + k(4x + k - 1) + p = 0 are equal.

Answers

Answer:

first 0ne

Step-by-step explanation:

A triangle has angle measurements of 36°, 90°, and 54°. What kind of triangle is it?
A. acute B. right C. obtuse

Answers

Answer:

Right

Step-by-step explanation:

when a triangle has a 90 degree angle it is always right

Answer:

right angle triangle

Step-by-step explanation:

triangle consists of 90° causing it to be right angled

Dante is selling donuts outside a huge office building every morning. The first week
he made $25 selling donuts, the second week he made $45 the third week he made
$65! Everyone loved them and they are spreading the word. If this pattern continues
how much money will he be making in week 10?

Answers

Answer:

$205

Step-by-step explanation:

45 - 25 = 20

65 - 45 = 20

as you can see the common difference between the 3 consecutive numbers 25 , 45 and 65 is a constant (20)

so ,we are in an arithmetic sequence case with :

first term 25 common difference r = 20

Let’s label the sequence: Un

then

Un = U1 + (n-1)×r

    = 25 + (n-1)×20

    = 20n + 5

for n = 10 → U10 = 20(10) + 5 = 200 + 5 = 205

Determine the value of z. answers: A) 57° B) 53° C) 121° D) 239°

Answers

Answer: a

Step-by-step explanation:

Answer:

121

Step-by-step explanation:

The exterior angle  measurement is equal to the sum of the opposite interior angles

34+ 87 = z

121 = z

Alan can run 5 miles in 40 minutes. If he maintains the same pace, what is the greatest number of miles he can run in 160 minutes?

A. 40

B. 60

C. 20

D. 30

Answers

(c) 20 ; each mile takes 8 minutes, therefore if you divided 160 by 8 your product would be 20

Answer:

C)20

Step-by-step explanation:

Cuz 160/8 is 20

(27)^-2/3 is equal to

Answers

Answer:

1/9

Step-by-step explanation:

(27)^-2/3=(3^3)^-2/3= 3^(-2/3*3)= 3^-2= 1/3^2= 1/9

Answer:

=1/9

Step-by-step explanation:

Apply exponent rule:   a^-b=1/a^b

(27)^-2/3 = 1/(27)^2/3

Step-by-step method in attachment:

In the equation, y = -4x + 10, what are the slope (m) and y-intercept (b)?

a. m = -4, b = -10
b. m = -4, b = 10
c. m = 10, b = -4
d. m = 10, b = 4

Answers

Answer:

Its B

Step-by-step explanation:

the y interceot is +10 so it is positie 10 and the slope is -4 so it is negative 4

A line of best fit is drawn for the set of points shown on the graph.

A 2-column table with 10 rows. The first column is labeled x with entries 5, 6, 8, 8, 10, 11, 14, 15, 16, 18. The second column is labeled y with entries 8.9, 11.4, 13.6, 14, 15.3, 12.25, 22.1, 21.8, 20.8, 24.5. A graph shows the horizontal axis numbered 4 to 16 and the vertical axis numbered 4 to 24. A line increases from 0 to 17.
Which point is an approximate extrapolation for x = 30 from the line of best fit?

(23, 30)
(30, 38)
(44, 30)
(30, 72)

Answers

yo hice el examen y la tuve mal pero me dijo cual era la correcta y es (30,38)

I do the exam and I heve it wrong but the exam put what was the correct answer and it is (30,38)

option B

Equation of Linear Regression line is

y=1.14 x + 3.805

so, (30,38)  is an approximate extrapolation for x = 30 from the line of best fit.

What is line of regression?

A line of regression is that line which passes through none of the points, few points or all the points in the two dimensional coordinate plane.It tells value of one variable when another variable is known.

here, we have,

A line of best fit is drawn for the set of points shown on the graph.

from the given information,

we get,

for, x=30

y=1.14 × 30 +3.805

y=34.20 +3.805

y=38.005

y=38 (approx)

Equation of Linear Regression line is

y=1.14 x + 3.805

so, (30,38)  is an approximate extrapolation for x = 30 from the line of best fit.

So, Ordered pair is , (30,38)

Option B

To learn more on line of regression:

https://brainly.com/question/12289540

Consider the function f(x)= 10^x and the function g(x), which is shown below.

How will the graph of g(x) differ from the graph of f(x)?

g(x)= f(x - 6) = 10^(x-6)

A. The graph of g(x) is the graph of f(x) shifted 6 units elown.
B. The graph of g(x) is the graph of f(x) shifted to the left 6 units.
C. The graph of g(x) is the graph of f(x) shifted 6 units up.
D. The graph of g(x) is the graph of f(x) shifted to the right 6 units.

Answers

Answer:

B. The graph of g(x) is the graph of f(x) shifted to the left '6' units

Step-by-step explanation:

Type of transformation                                   change to co-ordinate point

Vertical translation up 'd' units                          (x ,y) changes to (x , y+d)

Vertical translation down 'd' units                    (x ,y) changes to (x , y-d)

Horizontal translation left 'c' units                    (x ,y) changes to (x-c , y)

Horizontal translation Right 'c' units                  (x ,y) changes to (x+c , y)

Given f(x) translation left 'c' units                       f(x) changes to f(x-c)

Given f(x) translation right 'c' units                     f(x) changes to f(x+c)

Given  Function f(x) = 10 ˣ

The given graph  f(x) translation left '6' units

g(x) = f(x -6) = [tex]10^{x-6}[/tex]

Final answer:-

The graph of g(x) is the graph of f(x) shifted to the left '6' units

g(x) = f(x -6) = [tex]10^{x-6}[/tex]

Answer:

D. The graph of g(x) is the graph of f(x) shifted to the right 6 units.

Step-by-step explanation:

Use GeoGebra to graph those two function

f(x) = 10^x

g(x) = 10^(x-6)

2y+ 18x = 2x(x +9)
Please show work!

Answers

Answer:

Step-by-step explanation:

[tex]2y+18x=2x\left(x+9\right)\\Parabola\:standard\:equation\\4p\left(yk\right)=\left(xh\right)^2\:\mathrm{\:is\:the\:standard\:equation\:for\:an\:up-down\:facing\:parabola\:with\:vertex\:at}\:\left(h,\:k\right), \\\mathrm{and\:a\:focal\:length\:}\:|p|\\\mathrm{Rewrite}\:2y+18x=2x\left(x+9\right)\:\mathrm{in\:the\:standard\:form}\\2y+18x=2x\left(x+9\right)\\\mathrm{Rewrite\:as}\\2y=2x\left(x+9\right)-18x\\\mathrm{Divide\:by}\:2\\y=x^2\\\mathrm{Rewrite\:in\:standard\:form}[/tex][tex]4\cdot \frac{1}{4}\left(y-0\right)=\left(x-0\right)^2\\Therefore\:parabola\:properties\:are:\\\left(h,\:k\right)=\left(0,\:0\right),\:p=\frac{1}{4}[/tex]

list the size of DEF in order from shortest to longest​

Answers

Answer:

i would probably go with DE, EF, and DF

Step-by-step explanation:

i hope this helps :))

Answer:

DE, EF, and DF

Step-by-step explanation:

IT TO THE BEST OF MY BRAIN!!!! HAVE A NICE DAY!!!

Which of the following best describes the relationship between the chords NR and QS shown in the diagram below?

Answers

Answer:

C

Step-by-step explanation:

By observation, we can see very clearly that NR and QS are neither parallel nor perpendicular. Hence we can ignore A and B.

We notice that VT and VU are the same length.

Hence we can conclude that NR and QS must also be the same length (i.e they are congruent)

Therefore C is the answer.

The presence of an angle bisector will result in what type of angles?
Complementary angles
Congruent angles
Vertical angles
Supplementary angles

Answers

Answer:

Congruent angles

Step-by-step explanation:

Angle bisectors, divides the given angle into two equal parts

thus if value of angle is x then angle bisector will divide this angle into  parts

of equal value x/2 .

_______________________

complementary angles are two angles whose sum is 90 degrees.

since we do not the value of angle we cannot say with certainty that the angles are complementary

Congruent angles are angles who have the same angular measurement.

since, in above problem we have seen that angle bisector divides the angle in two equal parts.

hence angles are equal and thus they are congruent angle.

Congruent angles is the correct answer.

_______________________________________

vertical angles are angle opposite two one another when two line cross each other.

Since in the problem line is not intersecting each other thus, angles do not qualify to be vertical angles

Supplementary angles are two angles whose sum is 180 degrees.

since we do not the value of angle we cannot say with certainty that the angles are Supplementary.

Hence correct option is Congruent angles

Answer:

congruent angles

Step-by-step explanation:

Drive a car at a rate of 40 kilometers per hour or drive a car at a rate of 15 meters per second? (With the work please)

Answers

Answer:

15 meters per second is equivalent to 54 kilometres per hour.

Answer:

15 meters per second

Step-by-step explanation:

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