What is the answer if 202^2 base3 - 112^2 base3?

Answers

Answer 1

Answer:

Hello,

answer is 204 in base 10 or 21120 in base 3

Step-by-step explanation:

[tex]((202)_3)^2=(202*202)_3=(112211)_3\\\\((112)_3)^2=(112*112)_3=(21021)_3\\\\(112211-21021)_3=(211120)_3=(204)_{10}\\\\\\\\\\Other\ way\\\\((202)_3)^2=((20)_{10})^2=(400)_{10}\\\\((112)_3)^2=((14)_{10})^2=(196)_{10}\\\\(400-196)_{10}=(204)_{10}=(21120)_3[/tex]


Related Questions

What is the value of |-7| - |3|

Answers

Answer:

4 is the correct answer

Step-by-step explanation:

|-7| = 7

|3| = 3

7 - 3 = 4

If f(x) = -3 and g(x) = 4x2 + x - 4, find (f+9)(x).
2
A.
X
-1
A. 4x2 + 2x-1
B. 4x2 +
-7
C. 4x2 +2x-1
7
X-1
D. 6x2 - 7

Answers

Step-by-step explanation:

(f+g)(x) = f(x) + g(x) =

x/2 - 3 + 4x² + x - 4 = 4x² +3x/2 - 7

so, yes, B is the right answer.

Darren got 42 out of 56 questions correct on a test. What percent of the questions did he get correct?

Answers

Answer:

75%

42/56 =  42/56

Convert to decimal form:

42÷56 = 0.75

= 75%

Can you mark as brainliest if its right?

Answer:

75%

Step-by-step explanation:

42/56 = 0.75 = 75%

NO LINKS PLEASE. 18 POINTS! WHAT IS THE ANSWER TO 5 and 6 IN THE SCREENSHOT? PLEASE HURRY! P.S. BRAINLIEST

Answers

Answer:

#5 -1.75, 2.5, -0.2

#6 3 1/2, 2 1/4, -1/2

Step-by-step explanation:

Well when the opposite they mean if the number is positive it becomes negative, and if is negative it becomes positive. very simple happy to help :)

Julio says, "If you subtract 17 from my number and multiply the difference by - 3, the result is - 36." What is Julio's number? ​

Answers

It would be 29, to solve this, you just have to reverse everything that was said, so there you would divide -36 by 3 and add 17

Answer:

Julio’s number is 29

Step-by-step explanation:

(x - 17) · -3 = -36

x - 17 = 12

x = 29

Check:

29 - 17 = 12 · -3 = -36

What is the measure of 2C?
30
30
А
30
O A. 60°
O B. 90°
O C. Cannot be determined
D. 30°

Answers

Answer:

60

Step-by-step explanation:

All sides are equal, so all angles are equal.

All angles equal 60 because 180 ÷ 3 = 60

I hope this helps!!

Domain and Range of a linear function

Answers

Answer:

domain is the lenght of the road (in miles)

range is the number of days

Step-by-step explanation:

domain is the input because there building the road that is the input because the number of days is the output (range) because that is what happens from working on the roads (the input) what come out is the days they worked on the road

What are the solutions to the quadratic equation 2x2 + 10x - 48 = 0?
O A. x= -8 and x = 3
O B. x = -4 and x = 6
O C. x= -6 and x = 8
O D. x= -8 and x = 2
EUR

Answers

Answer:

A

Step-by-step explanation:

The solutions to the given quadratic equation are x=-8 and x=3. Therefore, option A is the correct answer.

What is the solution of a quadratic equation?

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

The given quadratic equation is 2x²+10x-48=0.

Here, x²+5x-24=0

x²+8x-3x-24=0

x(x+8)-3(x+8)=0

(x+8)(x-3)=0

(x+8)=0 and (x-3)=0

x=-8 and x=3

Therefore, option A is the correct answer.

To learn more about the solution of quadratic equation visit:

https://brainly.com/question/18305483.

#SPJ7

Which shows the correct first step to solving the system of equations in the most efficient manner?

3 x + 2 y = 17. x + 4 y = 19.

x = negative 4 y + 19
x = StartFraction negative 2 y + 17 Over 3 EndFraction
4 y = negative x + 19

Answers

Answer:

x = -4y + 19

Step-by-step explanation:

We have the two equations 3x + 2y = 17 and x + 4y = 19.

The first step would be to rearrange the variables in the second equation so we have a defined expression for x. We would want to do this so we could then plug in the the defined expression for x into the other equation and solve for the other variable.

x + 4y = 19

We can rearrange this by getting the 4y to the other side.

We can get 4y on the other side by subtracting 4y from both sides

x + 4y - 4y = 19 - 4y

x = -4y + 19

And we have just completed the first step!

Find the mean, mode and median of 3, 4, 5, 4, 6, 4, 7.

Answers

Mode = is the number with the highest frequency so the answer is 4.
Mean = the average so the answer is 3+4+5+4+6+4+7=33 so 33/7=4.7 (rounded to the nearest one decimal).
Median = the middle number, so the answer is 4.

Is the answer 8? If so, what is the unit?

Answers

Step-by-step explanation:

that depends on the expected unit rate.

there are infinite correct answers to this as it is stated. including the initial numbers.

2 miles in 0.25 hours is by itself already a unit rate :

2 m/0.25h

but if we want it to be the classical miles per hour rate for speed, then we need to calculate how many miles she would have run with the same speed in 1 hour.

when we change the denominator of a fraction or ratio by multiplication, but want to keep the overall value of the fraction unchanged, then we need to apply the same factor also to the numerator.

what is the factor for 0.25 hours to create 1 hour ?

you know that 0.25 = 1/4.

0.25 × f = 1

f = 1/0.25 = 1 / 1/4 = 4

we need to multiply by 4 to get 1 hour as denominator.

therefore, by keeping the ratio value unchanged, the whole operation is then

2 m/0.25h × 4/4 = 8 m/1 hour = 8 m/h

the answer is therefore only 8, if we required mph or m/h as unit rate.

we could just as easily request "miles / 10 hours", and we would get 80 as answer. or 0.13 as per 0.13 miles/minute. and so on. infinite possibilities.

you see ? the question in that form is actually not complete.

Find the measures of the interior angles of the triangle,

Answers

Answer:

Angle B = 88

Angle C = 44

Step-by-step explanation:

X+48+(X-44)=180

Subtract 48 from both sides

X+48-48+(x-44)=180-48

X+(x-44)=132

2x-44+44=132+44

2x= 176

X=88

Angle A=48

Angle B =88

Angle C=44

(88-44)

88+44+48=180

Answer:

∠A = 48°

∠B = 48°

∠C = 84°

Explanation:

For C, it is parallel to A, so it would be the same sized angle. For context, all angles of a triangle add up to 180°, so you do; ∠A + ∠C and get 96°

Then you do, 180° - 96° to get 84°

So ∠C would be 84°

Plzzz plzzzzzz help meeeee

Answers

Answer:
A.
Hope it helpsssÙnÚ

40% of _______ is 16.

Answers

Answer:

40% of ___ is 16

So then 10% of ___ is 4

Then do 4 x 10 = 40

So 40% of 40 is 16.

A group of 120 seventh- and eighth-grade students were asked whether they participate in sports or in nonâ€"sports-related activities. The two-way table shows their answers. Participation in Sports or Non-Sports A 4-column table with 3 rows. The first column has no label with entries seventh grade, eighth grade, total. The second column is labeled sports with entries 39, 29, 68. The third column is labeled non-sports with entries 24, 28, 52. The fourth column is labeled total with entries 63, 57, 120. Which statement is correct? Twenty-nine seventh-grade students chose a sports activity. Twenty-eight eighth-grade students chose a sports activity. Twenty-four seventh-grade students chose a non-sports activity. Thirty-nine eighth-grade students chose a non-sports activity.

Answers

The true statement about the group of 120 seventh-and eighth-grade students is (c) twenty-four seventh-grade students chose a non-sports activity

The entries are given as:

                           Sports       Non Sports          Total

Seventh Grade:     39              24                    63

Eighth Grade:        29              28                    57

Total                       68              52                   120

From the above entries, we have the following highlights:

39 seventh-grade students chose a sports activity. 29 eighth-grade students chose a sports activity. 24 seventh-grade students chose a non-sports activity28 eighth-grade students chose a non-sports activity.

From the above highlights, we can conclude that the following statement from the options is true

(c) twenty-four seventh-grade students chose a non-sports activity

Read more about data representation at:

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Answer:

c)

Step-by-step explanation:

Ajug contains 42 liters of milk. How
many milliliters of milk does it contain?
420 mL
B
4,200 mL
42,000 mL
4.2 mL

Answers

Based on the information given the number of milliliters of milk does it contain is 42,000 mL.

1 liter=1000 ml

Using this formula

Number of milliliters=Number of liters×1,000 ml

Where:

Number of liters=42 liters

Let plug in the formula

Number of milliliters=42 liters×1,000 ml

Number of milliliters=42,000 ml

Inconclusion  the number of milliliters of milk does it contain is 42,000 mL.

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indentify the range, y=2x + 6

Answers

Because
x
can take any value, the Domain of this equation is the set of all Real Numbers:
{
R
}

Because this is a simple linear transformation, the Range of this equation is also the set of all Real Numbers:
{
R
}

All the workers in a company were asked a survey question. The two-way frequency table shows the responses from the workers in the day shift and night shift. Complete parts a and b.
Please don't ask me to download the answer​

Answers

A two-way relative frequency table  consists of two types of data or data in two categories one relating to the columns and the other relating to the rows.

Shift                                     Response                              

                          Yes                        No                        Total

Day            

                          67%                  33%                     100%

Night              

                           23%                      77%                    100%

Total            

                         45%                              55%              200%

In this table there is data relating to two categories day/ night and yes/no.

Along the rows the percentages of the day/night data are calculated.

Along the columns the percentages of the yes/no data are calculated.

Shift                                     Response                              

                          Yes                        No                        Total

Day                  67/100*100           33/100  *100           100

                             = 67%                  =33%                     100%

Night                23/100*100           77/100*100               100

                          = 23%                     =77%                        100%

Total              90/200 *100               110/200*100           200

                         = 45%                       =   55%                   200%

These calculations are done by dividing the row cells by their respective row totals.

Similarly the columns cells are filled by dividing the column cells with their respective column totals.

For more understanding of  two-way frequency table click

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a homeowners association charges a 4.65 fee for each day your payment is late if a bill was originally 103.55 and paid 22 days late then how much is owed to the home owners?

Answers

Answer:

207.1

Step-by-step explanation:

4.65×22=102.3

103.55+102.3= 207.1

find the derivative of sin2X

Answers

Step-by-step explanation:

Derivation using Product rule : -

To find the derivative of f(x) = sin 2x by the product rule, we have to express sin 2x as the product of two functions. Using the double angle formula of sin, sin 2x = 2 sin x cos x. Let us assume that u = 2 sin x and v = cos x. Then u' = 2 cos x and v' = -sin x. By product rule,

f '(x) = uv' + vu'

= (2 sin x) (- sin x) + (cos x) (2 cos x)

= 2 (cos2x - sin2x)

= 2 cos 2x

This is because, by the double angle formula of cos, cos 2x = cos2x - sin2x.

Thus, derivation of sin 2x has been found by using the product rule.

Answer:

2cos2x

Step-by-step explanation:

Using the Chain rule

[tex]\frac{d}{dx}[/tex] (sin2x)

= cos2x × [tex]\frac{d}{dx}[/tex] (2x)

= cos2x × 2

= 2cos2x

what is the vaule of y when x=28

Answers

Answer:

62

Because u do 180-90-28=62

Chose the justification for each step in the solution to the given equation stop application subtraction property of equality multiplication property of equality division property of equality addition property of equality

Answers

Answer:

Step-by-step explanation:

-3(8+j)=-16+5j
HELP ASAP NEED THIS DONE TONIGHT BEFORE MIDNIGHT

Answers

Answer:

  j = -1

Step-by-step explanation:

Eliminate parentheses:

  -24 -3j = -16 +5j

Add 3j+16

  -8 = 8j

Divide by the coefficient of j.

  -1 = j

[tex]\rm⇢ \: \: - 3(8 + j) = - 16 + 5j[/tex]

[tex]\rm⇢ \: \: - 24 - 3j = - 16 + 5j[/tex]

[tex]\rm⇢ \: \: 5j + 3j = - 24 + 16[/tex]

[tex]\rm⇢ \: \: 8j = - 8[/tex]

[tex]\rm⇢ \: \: j = - 1[/tex]

A business woman bought a stove for $1209.calculate the selling price of the stove if she made a profit of 11%. (B) the stove was damage in transporting it to the customer . determine the selling price of the stove if she incurred a loss of 8% on the cost price​

Answers

Answer: Look below

Step-by-step explanation:

10% = $120.90

1% = $12.09

11% = $132.99

$1,209 + $132.99 = $1,341.99

She made a $132.99 profit or $1,341.99

—————————————————————

8% = 96.72

$1,341.99 - $96.72 = $1245.27

————————————————

Or if it is $96.72 off the price she bought it then it would be

$1,209 - $96.72 = $1,112.28

what is the slope of the line

Answers

The slope is 2/1, rise/run

HELP!!!

2 + 4x = 30

Please do not just type the answer, please explain how you got it. Whoever explains best gets brainliest.

Answers

Answer:

x=7

Step-by-step explanation:

2+ 4x =30

-2          -2

0+ 4x =28

     4x= 28

4x divided by 4= 0

28 divided by 4 equals 7

x=7

Desperately need help on question 2 & 3 !

Answers

13

x=15

because of the other one is the only thing

With a headwind a plane traveled 128 km in 2h. The return trip with a tail wind took 24 min less. Find the air speed of the plane. A. 64 km/h B. 72km/h C. 80km/h D. 88km/h E. 96km/h

Answers

Answer:

B

Step-by-step explanation:

128/2=64 mph

(the rate)

2 hr= 120 min

so.. 120-24= 96

and with the wind speed is r-c and without it is r+c because your going against the wind.

A forest covers 74,000 acres. A survey finds that 0.8% of the forest is old-growth trees. How many
acres of old-growth trees are there?

Answers

Answer:

592

Step-by-step explanation:

0.008(74,000)

592

Hope this helps!!

If I am wrong please tell me I enjoy learning from my mistakes:)

Answer:

592

Step by step explanation:

0.8% = [tex]\frac{8}{1000}[/tex]

8 out of every 1000 trees are old

74 * 8 = 592

(In , (c) in a group of students of them are Science Society members and the rest are Mathematics Society members of the Science Society 5 members or 16 of them are girls. Find the total number of Mathematics Society members. Dalam satu kumpulan murid, daripada mereka 9 ialah ahli Persatuan Sains dan selebihnya ialah ahli 2. Persatuan Matematik. daripada ahli Persatuan . 5 Sains atau 16 orang daripadanya ialah perempuan. Cari jumlah bilangan ahli Persatuan Matematik [3 marks / 3 markah) Answer / Jawapan:​

Answers

Answer:

50 students

Step-by-step explanation:

Given:

4/9 of students are Science Society membersThe rest are Mathematics Society members2/5 of Science Society members are girls = 16 people

Find the number of Science Society members:

2/5x = 16x = 16*5/2 = 40

Find the total number of group members:

4/9x = 40x = 40*9/4 = 90

Find the number of Mathematics Society members:

90 - 40 = 50
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