Evaluate the expression 3r^2 if r = 1/6.

Answers

Answer 1

Answer:

0.08333

Step-by-step explanation:

3(1/6)^2

1/6=0.1666

1/6^2=0.02777

3*0.02777=0.08333

Answer 2

Answer:

1/12

Step-by-step explanation:

This is the answer because:

1) 1/6^2 = 1/36

2) 1/36 x 3 = 3/36 = 1/12 ↔ 3 ÷ 3 = 1 & 36 ÷ 3 = 12 = 1/12

Therefore, the answer is 1/12.

Hope this helps! :D


Related Questions

The sum of the angle measures a polygon with n sides is 720. What is n?

Answers

14 to the second power hope this helps have a nice day

The polygon has 6 sides.

What is a polygon?

'A polygon, in geometry is any closed curve consisting of a set of line segments (sides) connected such that no two segments cross.'

According to the given problem,

Sum of measures of angle = 720

We know,

Sum of interior angles of polygon = 180( n - 2 )

Where, n = number of sides.

⇒ 180( n - 2 ) = 720

⇒ n - 2 = 720/180

⇒ n - 2 = 4

⇒ n = 6

Hence, we can conclude that the polygon has 6 sides.

Learn more about polygon here:

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What is the least common multiple (LCM) of 8 and 12?
A. 24
B. 20
C. 4
D. 2

Answers

Step-by-step explanation:

A. 24

.....

hope it helps !

Answer:

The answer is probably A

About 9/10 Of the avocados grown in the United States are in California about what percent of our car is going in the United States are grown in California?

Answers

Answer:

9/10 x 100% = 90%

Step-by-step explanation:

The question is asking us to convert the given fraction, 9/10, to percentage. As we know, to convert any number to percentage, we simply multiple by 100%. We are not changing the value because 100% means 100/100 = 1. So, we are basically multiplying by 1.

Since we are told that 9/10 avocados grown in the US are grown in California, then the percentage would be:

9/10 x 100% = 90%

A person walked x feet and halve that again.

Answers

Answer and Step-by-step explanation:

[tex]\frac{x}{2}[/tex] is the answer.

The initial part is having the person walk a certain amount (shown as x feet). Then, the amount of x (in terms of feet) is halved, or divided by 2.

#teamtrees #WAP (Water And Plant)

Answer:

x/2

Step-by-step explanation:

x halved is x divided by two, namely x/2.

Hope this helps!

xoxo,

cafeology

If you answer correctly I will give you brainlest GOES TO THE FIRST PERSON WHO ANSWERS CORRECTLY!

Answers

Answer:

A) slope is -12

B)The rate of change is constant because for every 5 seconds the change is the same. For every 5 seconds, the height decreases by 60ft. The equation is y=12x+1210

Step-by-step explanation:

A man got a 10% increase in his salary. If his new salary is Rs 1,54,000, find his original salary.

Answers

we will say that his original salary is x

x+10x/100=154000

we bring to the same denominator

(100x+10x)/100=154000

we multiply with 100

110x=15400000

we divide by 110

x=140.000

for geometry:(

will give brainist to the correct answer!!!

Answers

Answer:

y = ⅔x - 5

Step-by-step explanation:

To write the equation, find the slope (m), to enable you write the equation of the line in point-slope form given a point, (-3, -7) that the line passes through.

Since the line is parallel to 2x - 3y = 24,, it would have the same slope (m) value.

Rewrite 2x - 3y = 24 in slope-intercept form.

Thus:

2x - 3y = 24

-3y = -2x + 24

y = ⅔x - 12

The slope of 2x - 3y = 24 is ⅔. Therefore, the line that is parallel to 2x - 3y = 24 is also ⅔.

To write the equation of the line, substitute (a, b) = (-3, -7) and m = ⅔ into y - b = m(x - a)

Thus:

y - (-7) = ⅔(x - (-3))

y + 7 = ⅔(x + 3)

y + 7 = ⅔x + 2

y = ⅔x + 2 - 7

y = ⅔x - 5

January 19 national popcorn day. A bag of popcorn has the average of 450 kennels if 4%% of the kernels dont pop how manu pieces of popcorn will the bag make

Answers

Answer:

The bag will make 432 pieces of popcorn.

Step-by-step explanation:

From the information given, you know that the bag has an average of 450 kernels and that 4% don't pop. So, with this information you can find the pieces of popcorn that the bag will made by calculating 4% of the average number of kernels in a bag and subtracting the result from that amount:

450*4%=18

450-18=432

According to this, the answer is that the bag will make 432 pieces of popcorn.

What is 45 percent of 37?
0.1665
1.665
16.65
166.5

Answers

Answer:

16.65

Step-by-step explanation:

37 * 0.45 = 16.65

Answer:

is it 16.65????

Step-by-step explanation:

lol i took the testtt

An electric plant consumed 420 tons of coal in 6 weeks. At this
rate, what will be the total consumption of coal after another 4
weeks?

Answers

Answer: 700 tons of coal consumed in 10 weeks.

Step-by-step explanation:

first you find how much coal is consumed in 1 week which is 70 tons, then you multiply the 70 tons by 10 weeks because you are trying to find how much tons of coal can be consumed in to weeks and when you do that you should get 700 tons of coal for 10 weeks.


The sum of two numbers is 69. One number is 13 less than the other. Find the numbers.

Answers

Answer:

41, 28

Step-by-step explanation:

x+x-13=69

2x=69+13=82

x=82/2=41

41-13=28

what is x and y. use a decimal

Answers

Answer:

X=  3/5   Y= -3

Step-by-step explanation:

Answer:

Step-by-step explanation:

m<L =60                   angle addition post

MLP is equialateral   def of equialateral

5x-3=4                      def of equialateral

2y+6=4                       def of equialateral

x=1.4                        solve

y=-1                      solve

The Bryant family bought 7 bags of cookies. Each bag had 13 cookies. They have since eaten 29 of the cookies. How many cookies do they have left?

Answers

Answer:is 7x13=91-29=62

Step-by-step explanation:

i took the test on edge

91

Answer:

solution

1bag =13coikies

7bags=???

we take (7bag ×13 cookies)\1bagthen it will be 91cookiesthen we take 91COKIES-29COKIE so us to get the number of cookies left it will be 62 cokies

I need the answer pronto, NOW, ASAP.
Find the slope between the points (3, -3) and (12, -2).

Answers

Answer:

slope = (-2 +3) / (12 -3)

= 1/9

HELP PLS 40 points!!?????!?????????

Answers

Answer:

no clue

Step-by-step explanation:

very sorry

im in 5th grade

im only in 5th grade aswell *-*

thank you so much for free points<3!!!!

PLS HELP ME 30 POINTS
Which angles are coterminal with 7π8?

Select EACH correct answer.

−9π/8

−25π/8

23π/8

9π/8

Answers

Answer:

I think its. -9tt/8

-25tt/8

23tt/8

The coterminal angle of  angle  [tex]\frac{7\pi}{8}[/tex] is [tex]\frac{23\pi}{8}[/tex].

The coterminal angles are the angles that have the same initial side and the same terminal sides.

To determine the coterminal angle of a given angle just adding or subtracting 360° or to it.

The  coterminal angle of  angle  [tex]\frac{7\pi}{8}[/tex] is,

                   [tex]2\pi+\frac{7\pi}{8}=\frac{16\pi+7\pi}{8} =\frac{23\pi}{8}[/tex]

Hence, The  coterminal angle of  angle  [tex]\frac{7\pi}{8}[/tex] is [tex]\frac{23\pi}{8}[/tex].

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Which statement is correct about the transformation of a function f(x)?
a.By moving f(x) k units down, you obtain the function f(x)+k.
b.By moving f(x) k units to the right, you obtain the function f(x−k).
c.By shrinking f(x) k units horizontally, you obtain the function 1kf(x).
d.By stretching f(x) k units vertically, you obtain the function f(kx).

Answers

Answer:

B

Step-by-step explanation:

f(x)k= Example: f(2)= (2x-5)= f(2)= (2x2-5)= f(2)= (4-5)

Answer:

b.By moving f(x) k units to the right, you obtain the function f(x−k).

Step-by-step explanation:

:)

HELP PLEASE I AM STRUGGLING!

Answers

Answer:

D\

Step-by-step explanation:

Answer: The answer should be D

Step-by-step explanation:

BRAINLIEST LOL!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
A: X-55>25
B: X-25>55
C:X+55>25
D:X+25>55

Answers

Answer:

B

Step-by-step explanation:

Answer:

First one would be B

Second one would be x ≥ 80

Which situation does NOT show causation?
A. When the amount of sugar in a quart of apple juice is reduced, there are fewer calories in each serving.
B.When the student population at a school increases, the number of teachers at the school increases.
C.When there are more workers on a project, the project is completed in less time.
D.When there is more protein in an athlete’s diet, the athlete scores more points in a game.

I'LL GIVE YOU BRAINLIEST IF YOUR RIGHT

Answers

Answer is A
Hope this helps

Answer:A

Step-by-step explanation:

. Rama subtracted 7 from thrice the number of marbles she has, and she gets the result as 20.

Answers

Complete question :

Rama subtracted 7 from thrice the number of marbles she has, and she gets the result as 20. Find the number of marbles she has

Answer:

9 marbles

Step-by-step explanation:

Let The number of marbles she has = x

3 times the total - 7 = 20

That is ;

3x - 7 = 20

3x = 20 + 7

3x = 27

x = 27/3

x = 9

Number of marbles she has = 9

Jordan is another employee at the same coffee shop. He has worked there longer than Gabe and earns 3 more per hour than Gabe. How much money will he earn after the following hours: 4, 8 ,12 and 16

Answers

Answer:

1.

- Gabe earns 13.5 per hour

2.

x ------------------ 4  ---- 8 --------- 12 ------ 16

Earnings ----- 57 ---- 111 ------- 165------ 219

Step-by-step explanation:

See attachment for complete question

Solving (a): Gabe's earnings per hour,

To do this, we simply calculate the slope (m) of the table.

[tex]m = \frac{y_2 - y_1}{x_2- x_1}[/tex]

Where

[tex](x_1,y_1) = (3,40.5)[/tex]

[tex](x_2,y_2) = (6,81.0)[/tex]

[tex]m = \frac{y_2 - y_1}{x_2- x_1}[/tex]

[tex]m = \frac{81 - 40.5}{6 - 3}[/tex]

[tex]m = \frac{40.5}{3}[/tex]

[tex]m = 13.5[/tex]

Hence, Gabe earns 13.5 per hour

Solving (b): Jordan earnings

First, we calculate the equation of Gabe's table using:

[tex]y - y_1 = m(x - x_1)[/tex]

Where

[tex]m = 13.5[/tex] and [tex](x_1,y_1) = (3,40.5)[/tex]

[tex]y - 40.5 = 13.5(x - 3)[/tex]

[tex]y - 40.5 = 13.5x - 40.5[/tex]

[tex]y = 13.5x[/tex]

If Jordan earns 3 more per hour than Gabe, then: Jordan's equation would be;

[tex]y = 13.5x + 3[/tex]

When x  = 4

[tex]y = 13.5*4 + 3 = 54 + 3 = 57[/tex]

When x = 8

[tex]y = 13.5*8 + 3 = 108 + 3 = 111[/tex]

When x = 12

[tex]y = 13.5*12 + 3 = 162 + 3 = 165[/tex]

When x = 16

[tex]y = 13.5*16 + 3 = 216 + 3 = 219[/tex]

ARITHMETIC
SEQUENCE
40, 43, 46, 49, 52, ...

Answers

Answer:

3

Step-by-step explanation:

Going backwards from 52 to 49 is 3.

In the diagram below, ST is parallel to QR. angle P is 40 degrees, and QST is 2R+8. Find the measure of STR in degrees.

Answers

Answer:

148º

Step-by-step explanation:

Use the information given:

The measure of a straight line is 180º. So angle PST=180-(2R+8)Since ST and QR are parallel, angle PST=angle PQR. Now, angle PQR=180-(2R+8)The sum of a triangle's interior angles is 180º. So 40+180-2R-8+R=180º.Combine like terms, 212-R=180Subtract, -R=-32Convert to positive, R=32º

With R=32º, we can find angle QST and PQR. Angle QST=2(32)+8=64+8=72º. So angle PQR=180º-72º=108º. The sum of a quadrilateral's interior angles is 360º:

32º+72º+108º+STR=360ºCombine like terms, 212º+STR=360ºSubtract, STR=148º

Find the coefficient of x² in the expansion of (x - 2/x)⁶

Answers

Answer:

I think answer for ur question is 60

A company which uses the revaluation model for its PPE bought a building on 1 January 2014 for £50m. The building has an estimated useful life of 50 years and nil residual value. On 31 December 2018, the building was revalued at £40.5m and on 31 December 2020 it was revalued for a second time at £39m. The company uses the straight-line method of depreciation for all PPE items. There was no change to the remaining useful life after each revaluation. What is the net effect of both revaluations on the statement of comprehensive income?

Answers

Answer:

The net effect of both revaluations on the statement of comprehensive income is a net revaluation loss of £4.20m that will reduce the comprehensive income by the exact amount of £4.20m.

Step-by-step explanation:

This can be determined using the following 3 steps:

Step 1: Calculation of the effect of first revaluation: from 01 January 2014 to 31 December 2018

Building cost = £50

Number of useful life = 50

Revalued amount on 31 December 2018 = £40.5m

Annual depreciation expenses from 01 January 2014 to 31 December 2018 = Building cost / Number of useful life = £50m / 50 = £1m

Number of years from 01 January 2014 to 31 December 2018 = 5

Total depreciation expenses from 01 January 2014 to 31 December 2018 = Annual depreciation expenses from 01 January 2014 to 31 December 2018 * Number of years from 01 January 2014 to 31 December 2018 = £1m * 5 = £5m

Net book value on 31 December 2018 = Building cost - Total depreciation expenses from 01 January 2014 to 31 December 2018 = £50m - £5m = £45m

Revaluation loss from the first revaluation = Net book value on 31 December 2018 - Revalued amount on 31 December 2018 = £45m - £40.5m = £4.50m

Step 2: Calculation of the effect of second revaluation: from 01 January 2019 to 31 December 2020

Revalued amount on 31 December 2020 = £39m

Number of useful life remaining after 31 December 2018 = Number of useful life - Number of years from 01 January 2014 to 31 December 2018 = 50 - 5 = 45

Annual depreciation expenses from 01 January 2019 to 31 December 2020 = Revalued amount on 31 December 2018 / Number of useful life remaining after 31 December 2018 = £40.5m / 5 = £0.90

Number of years from 01 January 2019 to 31 December 2020 = 2

Total depreciation expenses from 01 January 2019 to 31 December 2020 = Annual depreciation expenses from 01 January 2019 to 31 December 2020 * Number of years from 01 January 2019 to 31 December 2020 = £0.90 * 2 = £1.80

Net book value on 31 December 2020 = Revalued amount on 31 December 2018 - Total depreciation expenses from 01 January 2019 to 31 December 2020 = £40.5m - £1.80 = £38.70m

Revaluation surplus from the second revaluation = Revalued amount on 31 December 2020 – Net book value on 31 December 2020 = £39m - £38.70 = £0.30m

Step 3: Calculation of the net effect of both revaluations on the statement of comprehensive income

Net revaluation loss = Revaluation loss from the first revaluation - Revaluation surplus from the second revaluation = £4.50m - £0.30m = £4.20m

Therefore, the net effect of both revaluations on the statement of comprehensive income is a net revaluation loss of £4.20m that will reduce the comprehensive income by the exact amount of £4.20m.

The net effect of the revaluations on December 31, 2018 and December 31, 2020 is that the comprehensive income will reduce by £11 million.

Data and Calculations:

Cost of PPE on January 1, 2014 = £50 million

December 31, 2018:

Revaluation amount =                   £40.5 million

Revaluation Loss =                          £9.5 million (£50 million - £40.5 million)

New book value =                        £40.5 million

December 31, 2020:

Revaluation amount =                   £39 million

Revaluation Loss =                          £1.5 million (£40.5 million - £39 million)

New book value =                        £39 million

Total Revaluation Loss = £11 million (£9.5 + £1.5 million)

Thus, the net effect of both revaluations on the company's statement of comprehensive income is reduction of £11 million.

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Find Mack's debt-to-income ratio if his monthly expenses are $2850 and his monthly salary is $4000

Pls help mee
Will give brain if u show a little bit of work !!!!

Answers

Answer:

$1,120

Step-by-step explanation:

Lenders prefer to see a debt-to-income ratio smaller than 36%, with no more than 28% of that debt going towards servicing your mortgage. 12  For example, assume your gross income is $4,000 per month. The maximum amount for monthly mortgage-related payments at 28% would be $1,120 ($4,000 x 0.28 = $1,120).

can someone please help explain this to me? i’ll give brainliest

Answers

Answer:

It's B/the 2nd one

Step-by-step explanation:

So first eliminate the third one because that says plus 4, the Y intercept is 3 so it has to be + 3 which leaves us we A, B, and D.

Then we can eliminate D, the slope is going downward, so it cannot be positive, and it's positive so that leaves us with A and B

The answer is B because of how steep the line is.

What is the equation of the line in point-slope form containing the points (4, -1) and (10, 0)?

Answers

Find slope first
(0+1)/(10-4)= 1/6
Point slope: (y-y1) = m(x-x1)
Solution: (y+1) = 1/6(x-4)

Answer:

The equation of the line in point-slope will be:

[tex]y\:=\:\frac{1}{6}x-\frac{5}{3}[/tex]

Step-by-step explanation:

Given the points

(4, -1)(10, 0)

Finding the slope between  (4, -1) and (10, 0)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(4,\:-1\right),\:\left(x_2,\:y_2\right)=\left(10,\:0\right)[/tex]

[tex]m=\frac{0-\left(-1\right)}{10-4}[/tex]

[tex]m=\frac{1}{6}[/tex]

We know that the slope-intercept form of the line equation is

[tex]y = mx+b[/tex]

where m is the slope and b is the y-intercept

Using the slope-intercept form to find the y-intercept 'b'

[tex]y = mx+b[/tex]

substituting m = 1/6 and the point (4, -1)

[tex]-1\:=\:\frac{1}{6}\left(4\right)+b[/tex]

[tex]\frac{2}{3}+b=-1[/tex]

subtract 2/3 from both sides

[tex]\frac{2}{3}+b-\frac{2}{3}=-1-\frac{2}{3}[/tex]

[tex]b=-\frac{5}{3}[/tex]

now substituting b = -5/3 and m = 1/6 in the slope-intercept form

[tex]y = mx+b[/tex]

[tex]y\:=\:\frac{1}{6}x+\left(-\frac{5}{3}\right)[/tex]

[tex]y\:=\:\frac{1}{6}x-\frac{5}{3}[/tex]

Therefore, the equation of the line in point-slope will be:

[tex]y\:=\:\frac{1}{6}x-\frac{5}{3}[/tex]

Math math math math math

Answers

Answer:

140

Step-by-step explanation:

35/ 100 = 49/?

49 times 100 equals 4900

4900/35 is 140

Answer:

To find the whole, divide the part and the percent. Always but the part as the numerator and the percent as the denominator. 49/35% = 140 total apartments

Step-by-step explanation:

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