Write $\frac 15+\left(\frac 15\right)^2+\left(\frac 15\right)^3+\left(\frac 15\right)^4$ as a decimal

Answers

Answer 1

Answer:

0.2496

Step-by-step explanation:

what you could do is make the all the 1/5 into 2/10's.

then you could multiply all of them (2/10) squared (2/10) cubed and (2/10)^4

now you would have 2/10 4/100 8/1000 16/10000

now you can change it into decimals and add

0.2 +0.04+0.008+0.0016

now all you have to do is add when you do you get 0.2496

there are many ways you could do this problem but this is the most efficient becuause I used another way but it was not helpfull.  

Answer 2

Answer: .2496

Aops Question

Step-by-step explanation:

This problem becomes easier if we write $\dfrac{1}{5}$ as $\dfrac{2}{10}$, so that all the denominators in our sum are powers of 10. Then

\begin{align*}

\frac15 + \left(\frac15\right)^2 + \left(\frac15\right)^3 + \left(\frac15\right)^4

&= \frac2{10} + \left(\frac2{10}\right)^2 + \left(\frac2{10}\right)^3 + \left(\frac2{10}\right)^4 \\

&= \frac2{10} + \frac4{100} + \frac8{1000} + \frac{16}{10{,}000} \\

&= 0.2 + 0.04 + 0.008 + 0.0016 \\

&= \boxed{0.2496}.

\end{align*}


Related Questions

What is the prime factorization of 50? 0 2 x 25 O 0 22 x 5 2x52 HURRRYY PLSSS ​

Answers

Answer:

50= 2x2x5 is the prime factorization of 50.

A pitcher of water holds 650mL. Convert this to deciliters.

Answers

The answer is 6.5 deciliter

On a floor plan for Rosedale Middle School, 1 inch represents 10 feet. If Sarah's classroom is 2 inches by 3 inches on the floor plan, what are the actual dimensions of her classroom?​

Answers

The actual dimensions of Sarah's classroom are 20 feet by 30 feet, based on a scale of 1 inch representing 10 feet on the floor plan.

If 1 inch on the floor plan represents 10 feet in reality, we can determine the actual dimensions of Sarah's classroom by multiplying the dimensions on the floor plan by 10.

The width of Sarah's classroom on the floor plan is 2 inches, so the actual width would be 2 inches * 10 feet/inch = 20 feet. Similarly, the length of Sarah's classroom on the floor plan is 3 inches, so the actual length would be 3 inches * 10 feet/inch = 30 feet.

Therefore, the actual dimensions of Sarah's classroom are 20 feet by 30 feet. This means that the classroom occupies a rectangular space with a width of 20 feet and a length of 30 feet. It is important to note that these measurements are scaled up from the floor plan according to the given ratio of 1 inch to 10 feet.

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Which container holds the largest amount of soil
Rectangular prism H=1.5ft W=1.5ft I=3ft

Answers

Answer:A rectangular storage container with an open top is to have a volume of 18 cubic meters. The length of it's base is twice the width.: let x = the width of the base then 2x = the length of the base and h = height of the box: 2x^2 = the area of the base 2(2xh) = 4xh = area of the two vertical sides 2xh = area of the two other vertical sides then

Step-by-step explanation:

two step inequalities
please help ​

Answers

Let's solve your inequality step-by-step.
x
6
+
8
>
2
Step 1: Simplify both sides of the inequality.
1
6
x
+
8
>
2
Step 2: Subtract 8 from both sides.
1
6
x
+
8

8
>
2

8
1
6
x
>

6
Step 3: Multiply both sides by 6.
6
*
(
1
6
x
)
>
(
6
)
*
(

6
)

ANSWER :
x > −36

PLEASE HELP

1. A car rental company charges $260 per week plus $0.29 per mile to rent a car. How many miles can you travel in one week for $419.5?

a. the equation is ______

b.you can travel _____ miles in one week for $419.5

Answers

a. 260 + 0.29x = 419.5
b. 550 miles

How to:
•260 is a number that you subtract from the total
•0.26 is what your trying to find how many of (miles in this example) so you put a variable (the letter) after it
•419.5 is the total

260 + 0.29x = 419.5 Subtract whole #
-260 - 260
—————-
0.29x = 159.5. Divide #x
______. ______
0.29. 0.29

X= 550

the graph of y=x^2 +4x + 3 is shown
a) what are the coordinates of the turning point
b) what are the coordinates of the roots of the equation x^2+4x+3=0

Answers

Answer:

a) -2, -1

b) (-3,0) and (-1,0)

From the graph of the given equation

the coordinates of the turning point is [tex](-2,-1)[/tex]

The coordinates of the roots of the equation [tex]x^2+4x+3=0[/tex] are [tex](-3,0) \; and \;( -1,0)[/tex]

Given :

the graph of y=x^2 +4x + 3 is shown

The graph of [tex]y=x^2 +4x + 3[/tex] is attached below

From the graph we can see that , the vertex is (-2,-1)

The graph changes direction at the point (-2,-1)

so we can say that there is only one turning point at [tex](-2,-1)[/tex]

Now we find out the roots of the equation

roots are the points where the graph crosses or touches x axis

The graph crosses x axis at [tex]-3 \; and \; -1[/tex]

The coordinates of the roots of the equation [tex]x^2+4x+3=0[/tex] are [tex]-3 \; and \; -1[/tex]

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HELP ME HELP ME HELP ME HELP HELP MEEEE

Answers

Answer:

Infinatly many solutions

Step-by-step explanation:

mark me brainlyest

Answer:

i would say a or b but probably b

Step-by-step explanation:

Best and Correct answer gets BRAINLIEST!!!

Answers

Answer:

3/2

Step-by-step explanation:

K = Y/X

please answer this correctly i'll give u 50 points and brainliest

Answers

Answer:

Step-by-step explanation:

Since lines 1 and 2 are parallel, <2=<6 because corresponding angles of parallel lines are congruent. <8 is the vertical angle of <6 meaning it's equal to <6. <8=115 degrees. <7 is the supplement of <6 and therefore 180-<6=<7. 180-115=65.

Write an algebraic representation that would result in a reduction of a figure.

Answers

Answer:

A-B=C

A= a house

B=destruction

C= aftermath

John bought a used car that costs $13,500. If the sales tax on the car is 8%, how much sales tax did he pay?​

Answers

Answer:

1,080

Step-by-step explanation:

QUICK MATH

⚠️NEED HELP ASAP!!!!!⚠️
What value of y makes lines DB and CE parallel?
A.)116
B.)14
C.)6
D.)5

Answers

Answer:

C

Step-by-step explanation:

9y-1=180-127

9y-1=53

9y=54

y=6

Answer: B

Step-by-step explanation:

A biased dice was rolled and the scores recorded in the table below
Score. Frequency
1. 17
2. 24
3. 23
4. 10
5. 16
6. 30
A) estimate the probability that on the next roll the score will be 4

Answers

Given:

The table of score and frequency.

To find:

The probability that on the next roll the score will be 4.

Solution:

From the given table it is clear that the score 4 occurs 10 times.

Number of times the dice was rolled = 17 + 24 + 23 + 10 + 16 + 30

                                                             = 120

The probability that on the next roll the score will be 4 is

[tex]\text{Required probability}=\dfrac{\text{Number of times 4 occurs}}{\text{Number of times the dice was rolled}}[/tex]

[tex]\text{Required probability}=\dfrac{10}{120}[/tex]

[tex]\text{Required probability}=\dfrac{1}{12}[/tex]

Therefore, the required probability is [tex]\dfrac{1}{12}[/tex].

27.893m in _______m_____dm______cm_____mm​

Answers

Answer:

27.893m in 27m 8dm 9cm 3mm​

Step-by-step explanation:

Just put in the digits from left to right since:

10dm = 1m

10cm = 1 dm

10mm = 1cm

Answer this question please

Answers

Answer:

(3, 9)

Step-by-step explanation:

See attached image.

A water pail in your backyard has a small hole in it. You notice that it has drained a total of 0.5 liter in 4 days. What is the average change in water volume each day?
please answer this now!!

Answers

Answer:

0.125 liters per day

Step-by-step explanation:

0.5/4=.125

The perimeter of a rectangle is 86cm.
Its shortest side has a length of 15cm.
State the length of the longest side

Answers

Answer:

The length of the longest side is 28cm

Step-by-step explanation:

Rectangles have two pairs of equal sides, this means that if one of the sides is 15cm, there will be another side with 15cm.  So to solve the problem we should first add the length of both sides we have, which are 15cm and 15cm, and will equal 30cm. Then we subtract 30cm from the 86cm so we know what the length of the last two sides is equal to when added together, that will be 56cm. Remember, we know that these last two sides have equal lengths. This means all we have to do is divide 56cm by 2 which will equal 28cm. This means that the length of one of the longest sides is 28cm.

Hope this helped!

Find the distance between w=1+2i and z=3-i

Answers

Answer:

The distance between w=1+2i and z=3-i is 3.61

Step-by-step explanation:

We need to find the distance between w=1+2i and z=3-i

The formula used is: [tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have [tex]x_1=1, y_1=2, x_2=3, y_2=1[/tex]

We will use only real numbers and not i for calculating distance.

Putting values and finding distance

[tex]Distance=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\Distance=\sqrt{(1-3)^2+(-1-2)^2} \\Distance=\sqrt{(-2)^2+(-3)^2} \\Distance=\sqrt{4+9} \\Distance=\sqrt{13}\\Distance=3.61[/tex]

So, The distance between w=1+2i and z=3-i is 3.61

A toy store is having a sale. A video game system has an original price of $99. If it is on sale for 40% off the original price. Find the sale price of the game system. Round to the nearest CENT.

Answers

$99 times (1-.4) = $59.40

Guess what sport I do and I'll give you brainly :)

Answers

Answer:

Gymnastics

Step-by-step explanation:

Consider the equation 4x4 – 8x3 + 4x2 – 128x – 960 = 0. The real solutions are 5 and –3. What are the nonreal solutions? –2i, 2i –4i, 4i –8i, 8i –16i, 16i

Answers

The required nonreal solution of the given equation 4x⁴ – 8x³ + 4x² – 128x – 960 = 0 is –4i, 4i.

What is the equation?

The equation is the relationship between variables and is represented as y =ax +b is an example of a polynomial equation.

Here,
The given expression,
4x⁴ – 8x³ + 4x² – 128x – 960 = 0.
Factorization
4.(x + 3).( x - 5).(x² + 16) = 0
Now,
x + 3 = 0    ; x - 5 = 0      ; x² + 16 = 0
x = -3         ; x = 5           ; x = ± 4i



Thus, the required nonreal solution of the given equation is –4i, 4i.

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Answer:

B

Step-by-step explanation:

Find the coordinates of the point 7/10 of the way from A to B. The points given are A(-3,-6) , B(10,5)

Answers

why the grade tent truck fico duck session duck duck drink dunno rbi Thu to ft ft ft ft tho

(2t+1) (t- 4)
A. 2t² - 4
B. 2t² -7t - 4
C. 2t² -9t +4
D. 2t² +9t.​

Answers

Answer:

2t^2−7t−4 (b)

Step-by-step explanation:

=(2t+1)(t+−4)

=(2t)(t)+(2t)(−4)+(1)(t)+(1)(−4)

=2t^2−8t+t−4

=2t^2−7t−4

200 = 42 + 10h

How many hours does this problem equate to?

Answers

Answer:

h = 15.8

Step-by-step explanation:

200 = 42 + 10h

10h = 200 - 42

10h = 158

h = 15.8

Answer:

15.8 hours

Step-by-step explanation:

Answer this question please

Answers

Answer:

[-13,∞)

Step-by-step explanation:

x ≥ -13

x ≥ -13

Convert the inequality to interval notation.

[-13,∞)

9 1/6 divided by 5 + 3 1/3

Answers

Answer: 10 1/3 or 31/3

Step-by-step explanation:

Following bedmas first we do division then addition ( this case you would also switch your fraction into mixed fractions)

(55/6 / 5/1) + 3 1/3

(55/6 x 1/5) + 10/3

11/6 + 10/3

To add fraction you have to have the same denominator, so you multiply it till it has the same denominator

11/6 + 20/3

31/3 = 10 1/3 is your final answer

Compute the probability of flipping a coin once and getting heads, given that the previous flip was tails.

Answers

Answer:

the probability to flip a head is 50%

Step-by-step explanation:

I think.


When a number is multiplied by four and the
result is decreased by six, the final result is 10, what is this in a math problem???

Answers

Answer:

x*4-6=10
is a ecuation
x * 4 - 6 = 10
x * 4 = 16
x = 16/4
x = 4

If $29 is invested at a simple interest rate of 3% per year, what would the total account balance be after forty-five years?

Answers

The total account balance after forty-five years will be $68.15

As per the known facts, the simple interest is calculated using the formula -

S. I. = (P × R × T) ÷ 100, where S.I. is simple interest, P is principal, R is rate of interest and T is time. Keep the values in formula to find the value of interest.

S.I. = (29 × 3 × 45) ÷ 100

S.I. = 3915 ÷ 100

S.I. = 39.15

To calculate the amount, we will simply add the principal and simple interest.

Amount = 29 + 39.15

Amount = $68.15

Therefore, the total account balance after forty-five years will be $68.15.

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