Consider the series 4 + 12 + 36 ... Find the sum of the first 9 terms.​

Answers

Answer 1

Answer:

39364

Step-by-step explanation:

You can simplify the equation to make 4(1+3+9...) The nth term is therefore [tex]3^{n-1}[/tex] so u can substitute that into the equation so 4([tex]3^{n-1}+ 3^{n} + 3^{n+1}[/tex]..). This would simplify to 4([tex]3^0 +3+3^2[/tex]+[tex]3^3+3^4+3^5+3^6+3^7+3^8[/tex]). By simplifying this, you can make it so 4([tex]2^2+6^2+18^2+42^2+81^2[/tex]) = 4(4+36+324+2916+6561) =39364


Related Questions

What is the fifteenth term of the sequence
5,-10,20,-40,80,...?

1)-163 840

2)-81.920

3)81,920

4)327.680

Answers

Answer:

81920.

Step-by-step explanation:

1) the ration of the given sequence is -2=-10/5=20/(-10)...

2) the 15th term can be calculated according to the formula:

a₁₅=a₁*(ratio)¹⁴, then

a₁₅=5*(-2)¹⁴=-5*1024*16=81920.

Mystery Measures
Determine as many angle measures as you can by
creating different designs.
Record your results and strategies on the worksheet.

Answers

Answer:

four squares or 3 hexagons

14
Select the correct answer from each drop-down menu.
Given: AOB~ XEOF
Prove:
BOC~ DOE
A
B
E
F
Complete the proof.
Suppose that BOC# *DOE
. By the vertical angles theorem,
. By the transitive property,
◆, which contradicts the given. Therefore, XBOC DOE
and
, and

Answers

Using the vertical angles theorem and the transitive property, we have proven that ∠BOC ≅ ∠DOE as shown below.

Geometry

From the question, we are to prove that ∠BOC ≅ ∠DOE

We are given that

∠AOB ≅ ∠EOF

By vertical angles theorem, we can observe that

∠AOB ≅ ∠DOE and ∠BOC ≅ ∠EOF

Then,  

By the transitive property

∠AOB ≅ ∠BOC and ∠EOF ≅ ∠DOE

Therefore, ∠BOC ≅ ∠DOE

Hence, the two angles are equal as proven above.

Learn more on Geometry here: https://brainly.com/question/24839702

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Here are the answers -

Vert angl theorem: angle  AOB is congruent to angle DOE

                              and:     angle BOC is congruent to angle EOF

Transitive Prop:  angle EOF is not congruent to angle DOE

                               and:    angle  AOB is not congruent to angle EOF

                                                Cheers!

Find the slope and the y-intercept of the line.


5x + 8y = 31

Answers

Step-by-step explanation:

1.) Move the 5 to the other side of the equation

8y = -5x + 31

2.)

Divide by 8

y= .625x + 3.8

Answer:

5x + 8y = 31

8y = -5x + 31

y = -0,625x + 3,875

    y = mx + b

    m = slope

    b = intercept

y = -0,625x + 3,875

slope = -0,625

intercept = 3,875

when is buying a house better than ranting

Answers

Answer:

Buying a home allows you to build wealth over time.

Step-by-step explanation:

no other asset can build your wealth more consistently. When you rent, you are building your landlord's wealth, and not your own. Combined with leverage, real estate appreciation can offer big returns

Bradley cut a square hole out of a block of wood in wood shop. If the block was cube-shaped with side lengths of 8 inches, and the hole had side lengths of 5 inches, how much wood was left after the hole was cut out?
A.
387 cubic inches
B.
512 cubic inches
C.
39 cubic inches
D.
312 cubic inches

Answers

Answer:

The Correct answer is D. 312 Cubic inches.

Hope this helps you!!

Please Mark me Brainleast!!

Answer:

The Correct answer is D. 312 Cubic inches.

Hope this helps you!!

Please Mark me Brainleast!!

Help me please
Use the Distributive Property. Fill in each blank to complete the expansion


(x + y)(x - y)= _____2-_____+______-________^2 =______^2 - 2

Answers

X^2 - xy + xy - Y^2
=
X^2 - Y^2

Drag the operations into the order in which they should be performed to evaluate the expression below. 7 × 6 ÷ ( 13 − 10 ) + 4 addition division multiplication subtraction PLES HELP I WILL GIVE BRAINLYEST

Answers

Answer:It's 18

Step-by-step explanation:Multiply 7 and 6 to get 42

Subtract 10 from 13 to get 3

Divide 42 by 3 to get 14

Add 14 and 4 to get 18

Answer:

18

Step-by-step explanation:

First do the ones inside the bracket (13-10)=3

Second divide 6 by the answer you get from the first part 6÷3=2

Third multiply the answer from second with 7×2=14

Then add the answer you get from the third one to 4+14=18

Mathematically

7×6÷(13-10)+4

= 7×6÷3+4

= 7×2+4

= 14+4

= 18 Answer

frank bought 6 pens and 3 highlighters in the school store and paid 21$ for the whole purchase. his friend andy paid 19$ for 2 pens and 4 highlighters. if all pens cost the same and all highlighters cost the same what is the price of one pen?


HELP ASAP

Answers

The price of one pen is $1.50.

What are the linear equations?

6p + 3h = 21 equation 1

2p + 4h = 19 equation 2

Where:

p = number of pens h = number of highlighters

What is the price of one pen?

In order to determine the price of one pen, take the following steps:

Multiply equation 1 by 4 and equation 2 by 3

24p + 12h = 84 equation 3

6p + 12h = 57 equation 4

Subtract equation 4 from 3

27 = 18p

p = $1.50

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Determine if the expression - x^3 y^5 / 3 is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial.

The given expression _____ a polynomial.

Answers

Answer:

it is not a polynomial it has no degree either .. and we only classify polynomials in accordance with their degrees

HELPP!!!!!!!!!!!
Match the word with the definition. You CAN use your Notes!

Question 1 options:

Practical Range


Domain


Function Notation


Vertical Line Test


Range


Practical Domain


Relation


Function

1.
A mapping from a set of inputs to a set of outputs
2.
Set of allowable inputs (usually x-values)
3.
Set of allowable outputs (usually y-values)

4.
A relation in which every element of the domain is assigned to exactly one element of the range
5.
If two points of a graph lie on ANY vertical line, the graph is NOT a function

6.
A function equation written so that the output variable (y) is replaced with the function’s name and the input variable
7.
The set of REALISTIC inputs

8.
The set of REALISTIC outputs

Answers

Answers:

RelationDomainRangeFunctionVertical Line TestFunction NotationPractical DomainPractical Range

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

Explanation:

A relation is basically anything where we connect one variable to another. Usually there are math operations involved to have a predictable rule. For example, y = x+5 says "add 5 to the x input to get the y output". But we won't always have a rule like this to connect x and y.The domain is the set of allowed inputs (x values). For example, if we had the function y = 1/x, then we can plug in anything but x = 0. This is to avoid a division by zero error.The range is the set of allowed output y values. You can use a graph to determine the range, or find the domain of the inverse (assuming one exists).This is basically saying each input goes to exactly one output only. If such a thing happens, then the relation is a function.A visual way to test if you have a function is to use the vertical line test. If you can pass a vertical line through more than one point, then it is said to have failed the vertical line test and we don't have a function. Failing the vertical line test shows that a particular x value leads to multiple y outputs.Function notation is when we replace y with something like f(x) so the function name is a bit more descriptive.Let's say we had the function f(x) = 100/x. The x represents the number of people, and f(x) is the average cost per person. Before I mentioned that the domain is anything but 0, to avoid a division by zero error. Realistically, we also would make x the set of positive whole numbers (1,2,3,4,...) since x is the number of people. This is one example where a theoretical domain shrinks down to a more practical one. Since the domain shrinks in problem 7, the range is likely to shrink as well. Use a graph or table to see why this happens.

Goldie's apple juice boxes hold 6.9 ounces. If there are 8 boxes in a package, how many ounces of apple juice are in a package?

Answers

Answer:

See below

Explanation:

You multiply 8 and 6.9
To get 55.2 ounces

help me pls and stop deleting questionssss

Answers

Answer:

ok 11.5

Step-by-step explanation:

ok

Answer:11.5

Step-by-step explanation:

please help me factor this

Answers

2(x+12)(x-1) is the answer.

Answer:

(x+24)(x-2)=0

Step-by-step explanation:

2*-24=-48

factorise -48 to get 24 and -2 (which will add up to 22)

What is the length of one side cube?

Answers

Answer:

Step-by-step explanation:

1 unit


What are the coordinates of A'and B'when AB is reflected in the y-axis? Show your work or explain
how you got your answer.

Answers

The coordinates of A'and B'when AB is reflected in the y-axis are; (-2,5) and (-6,3).

What are the coordinates of A'and B'when AB is reflected in the y-axis?

According to the task content, it follows that the reflected points A' and B's coordinates are required.

From the graph, the coordinates of A= (2,5) and B= (6,3).

On this note, the coordinates of A' and B' upon reflection over the y-axis is; (-2,5) and (-6,3) respectively.

Read more on line reflection;

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Find the length of side a in simplest radical form with a rational denominator.

Answers

Answer:

x = 5.5

Step-by-step explanation:

Using a trig ratio, you can use sin, which is opposite over hypotenuse. [tex]sin(30)\textdegree=\frac{x}{11}[/tex]

Now, multiply both sides by 11

[tex]11\cdot sin(30)\textdegree=x[/tex]

this simplifies to x = [tex]\frac{11}{2}[/tex] or 5.5.

Since sin30 is [tex]\frac{\pi}{6}[/tex] radians, it can be written as [tex]\frac{11\pi}{6}[/tex].

The radius of a circle is 18 miles. What is the circle's circumference?
Use 3.14 for ​.

Answers

given:

radius= 18 miles

to find:

the circumference of the circle.

solution:

[tex]c = 2\pi \: r[/tex]

[tex]c = 2 \times 3.14 \times 18[/tex]

[tex]c = 113.04[/tex]

[tex]c = 113\: miles[/tex]

hence, the circumference of the circle is 113 miles.

Question 16 of 40
A sample of 64 was taken from a population, with the mean of the sample
being 25 and the standard deviation of the sample being 2. What is the 95%
confidence interval for the mean of the population?
OA. (24.75, 25.25)
OB. (24,26)
OC. (24.5, 25.5)
OD. (24.2, 25.8)
4
SUBMIT

Answers

C . ( 24.5 , 25.5 ) should be your correct answer

Rafael's chocolate bar is 37% cocoa. If the weight of the chocolate bar is 96 grams, how may grams of cocoa does it contain? Round your answer to the nearest tenth.

Answers

You can use the weight of the chocolate bar given and find its 37% to get the weight of cocoa used in it.

The weight of cocoa in the given chocolate bar is 35.52 grams.

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

Since weight of cocoa = 37% percent of chocolate bar's weight which is 96 gram,

Thus,

[tex]weight[/tex] [tex]of[/tex] [tex]cocoa=\frac{37}{100}[/tex] × [tex]96=35.52[/tex]

Thus,

The weight of cocoa in the given chocolate bar is 35.52 grams.

Learn more about percentage here:

https://brainly.com/question/11549320

help me pleeeeaseeeeeeeeeeeeeeeeeee

Answers

Step-by-step explanation:

just fill in the individual definitions and then do the fraction calculation.

c - 3x

-7/10 - 3×2/5 = -7/10 - 6/5 = -7/10 - 12/10 = -19/10

Which classification best describes figure ABCD below?

A. rhombus
B. quadrilateral
C. trapezoid
D. parallelogram

Answers

Answer:

Parralelogram

Step-by-step:

Both of the shapes sides are parrallel to the shapes opposite sides, if you need you can look at images of a parralelogram

please give brainliest (:

Answer: D. Parallelogram

Step-by-step explanation:

Both pairs of opposite sides are parallel.

Both pairs of opposite sides are congruent.

Both pairs of opposite angles are congruent.

Diagonals bisect each other.

One angle is supplementary to both consecutive angles (same-side interior)

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER. What is m<2.

Answers

Answer:

32

Step-by-step explanation:

because it 's a antiparallelogram so 3=2, 1=32

Hhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answers

Answer:

Abd

Step-by-step explanation:

upright

up

as the height increase the weight also does

A bag contains 4 red balls, 2 green balls, 3 yellow balls, and 5 blue balls. Find each probability for randomly removing balls with
replacement.

Removing a yellow, a red, a green, and a blue ball =

Removing a blue, a green, a green, and a yellow ball =

Removing a red, a red, a yellow, and a yellow ball =

Removing a green, a yellow, a yellow, and a red ball =

Answers

Answer:

[tex]\frac{15}{4802}[/tex], [tex]\frac{15}{9604}[/tex], [tex]\frac{9}{2401}[/tex], [tex]\frac{9}{4802}[/tex]

Step-by-step explanation:

The bag has a total of (4+2+3+5) = 14 balls. Set up the proportions:

Red: [tex]\frac{4}{14}[/tex]

green: [tex]\frac{2}{14}[/tex]

yellow: [tex]\frac{3}{14}[/tex]

blue: [tex]\frac{5}{14}[/tex]

Now solve!

Removing 1 yellow, 1 red, 1 green, and 1 blue = [tex]\frac{3}{14} \cdot \frac{4}{14} \cdot \frac{2}{14} \cdot \frac{5}{14} =\frac{15}{4802}[/tex]

Removing 1 blue, 1 green, 1 green, and 1 yellow = [tex]\frac{5}{14} \cdot \frac{2}{14} \cdot \frac{2}{14} \cdot \frac{3}{14} =\frac{15}{9604}[/tex]

Removing 1 red, 1 red, 1 yellow, and 1 yellow = [tex]\frac{4}{14} \cdot \frac{4}{14} \cdot \frac{3}{14} \cdot \frac{3}{14} =\frac{9}{2401}[/tex]

Removing 1 green, 1 yellow, 1 yellow, and 1 red = [tex]\frac{2}{14} \cdot \frac{3}{14} \cdot \frac{3}{14} \cdot \frac{4}{14} =\frac{9}{4802}[/tex]

i need help 7th grade math

Answers

Answer: 216

Step-by-step explanation:

5/4 = 120/x

cross multiply

480 = 5x              

divide 480 by 5

x = 96        

there are 96 women

96+120 = 216

The total number of people is 216

sarah can make 3/5 of a necklace in 15 minutes. At this rate, how many necklaces, to the nearest tenth of a necklace, can sarah make in 1 hour?

ANSWER ASSAP PLSSSSSSSSSS

Answers

Answer:

She can make 2 2/5 necklace in one hour

Step-by-step explanation:

60/15=4 so she makes 3/5*4=12/5=2 2/5

i got a question what is 2x92

Answers

Answer:

184

Step-by-step explanation:

Answer:

184 184 184 184 184 184

Step-by-step explanation:

184

If a rectangle has a length of 10 units and an area of 50 units?, what is its perimeter?
60 units
15 units
30 units

Answers

Answer- The perimeter should be 30 units

Answer:

30 units

Step-by-step explanation:

a = bh

h = a/b

h = 50/10

h = 5

5(2) + 10(2)

10 + 20

30

Evan saves 7 dollars each week. let d represents the total amount of money in dollars Evan saves after w weeks.

Answers

D=7
D to W = 19
Gives total savings on Week W $133
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