what is row of sum 131 072 in Pascal's triangle?​

Answers

Answer 1

9514 1404 393

Answer:

  17

Step-by-step explanation:

If you number the rows starting with 0 for the row that is 1, then row n has sum 2^n. 131072 = 2^17, is the sum of row 17.

row 0: 1

row 1: 1 1

row 2: 1 2 1

...

row 17: 1 17 136 680 2380 6188 12376 19448 24310 24310 19448 ...


Related Questions

Equivalent expression for .68y

Answers

Answer:

68 × y

Step-by-step explanation:

68y = 68 × y

Which of the following equations represents a line that passes through the points ( − 3 , − 3 ) and (−2,0)?

Answers

y=3x+6

Use

y=mx+b

to calculate the equation of the line, where

m

represents the slope and

b

represents the y-intercept.

Slope is equal to the change in

y

over the change in

x

, or rise over run.

3x+78 x+50 solve for X

Someone help please

Answers

Answer:

x=13

Step-by-step explanation:

3x+78 +x+50=180

3x+x+78+50=180

4x+128=180

4x=180-128

4x=52

4x/4=52/4

x=13

using the principal of straight line angle

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{3x + 78 + x + 50 = 180^\circ}\\\\\large\text{COMBINE the LIKE TERMS}\\\\\mathsf{(3x + x) + (78 + 50)}\\\mathsf{3x + x = 4x}\\\mathsf{78 + 50 = 128}\\\\\mathsf{4x + 128 = 180^\circ}\\\\\large\text{SUBTRACT 128 to BOTH SIDES}\\\\\mathsf{4x + 128 - 128 = 180 - 128}\\\\\large\text{CANCEL out: 128 - 128 because that gives you 0}\\\large\text{KEEP: 180 - 128 because that helps solve for the x-value}\\\mathsf{180-128=52}\\\\\mathsf{4x = 52}\\\\\large\text{DIVIDE 4 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{4x}{4} =\dfrac{52}{2}}\\\\\large\text{CANCEL out: }\mathsf{\dfrac{4}{4}}\large\text{ because that gives you 1}\\\large\text{KEEP: }\mathsf{\dfrac{52}{2}}\large\text{ because that gives you the value of x}\\\\\mathsf{\dfrac{52}{4}=52\div4=x}\\\\\boxed{\boxed{\large\textsf{Answer: \huge \bf x = 13}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

[tex]\frak{Amphitrite1040:)}[/tex]

Look at the image below help me

Answers

Answer:

y=12, x=6

Step-by-step explanation:

y+3=15

3x-6=12

I believe the answer is this
Y=16
X=6

Lillian is sitting on a bench in the mall. She noticed that 3 out of the last 15 men who walked
by had a beard. What is the experimental probability that the next man to walk by will have a
beard?
Write your answer as a fraction or whole number.

Answers

Answer:

3/15= 1/5 That's the answer

double the difference of 25 and 10 is

Answers

Answer:

30

Step-by-step explanation:

25-10 = 15

15 x 2 = 30

Double the difference of 25 and 10 is:

------------------

First we must get the difference between 25 and 10.

[tex]25 - 10 = \green{15}[/tex]

Next, we must double the answer.

[tex]15 \times 2 = \bold \blue{30} \\ \tt or \\ {15}^{2} = \purple {\sf{30}}[/tex]

Therefore, the answer is 30.

Stay safe!

Graph the line of the equation 5x+2y=12 using its slope and y-intercept.

Answers

Answer:

Step-by-step explanation:

First you need to put the equation in slope intercept form.

y = mx + b   (m = slope and b = y-intercept)

5x + 2y = 12   (subtract 5x)

2y = -5x + 12   (now you need to isolate y. Therefore, divide all by 2)

y = -5/2x + 6

Now you have your slope and y-intercept. Your y-intercept will be 6. So on the graph you need to begin at 6 on the y-axis (the line that goes up and down). Make your first point there. Your slope is the -5/2x. Slope is looked at as rise/run. This means from your point at 6, you will go down (down because it's negative. If it was a positive, you would go up, i.e rise) 5 units. Then you will go over to the right 2 units (to the right because it is positive. Only the top one will be negative.) Place your point once you have done that. Then draw a line between those two points.

(note that on my screenshot, the tiny squares do not equal 1 unit. The larger ones with the bunch of tiny squares inside equal 1 unit)

I hope this helped :)

Look at this expression, and complete the statements.
3x + 2(x + 2) + 4
In the first term, 3 is
In the second term, (x + 2) is
In the last term, 4 is

Answers

Answer:

[tex]3 \to[/tex] Coefficient of x

[tex](x+2)\to[/tex] Variable

[tex]4 \to[/tex] Constant

Step-by-step explanation:

Given

[tex]3x + 2(x +2) + 4[/tex]

Required

Complete the statements

In 3x, x is the variable; so:

[tex]3 \to[/tex] Coefficient of x

In 2(x + 2), 2 is the variable so:

[tex](x+2)\to[/tex] Variable

4 stands alone. So, it is a constant

[tex]4 \to[/tex] Constant

Answer: In the first term, 3 is a coefficient

In the second term, (x + 2) is a factor

In the last term, 4 is a constant

Step-by-step explanation:

The 3 in the first term is multiplied by a variable, x. So it is a coefficient.

The (x + 2) in the second term is multiplied by 2. So, it is a factor.

The 4 in the last term is not multiplied by anything. It is a fixed value, so it is a constant.

Give brainiest if right!!

Two planes travel in opposite directions from the same airport. The
first plane travels at a speed of 320 mph, and the second plane’s
speed is 1.5 times greater. What is the distance between the two
planes after 5 hours?

Answers

Answer:

4000 miles

Step-by-step explanation:

320x1.5=480

(320x5)+(480x5)=4000

4000 miles

Answer:

[tex]4,000\text{ miles}[/tex]

Step-by-step explanation:

Let's say that the two planes travel at point [tex]p[/tex]. Without loss of generality, let's say that the first plane travels left and the second plane travels right.

Distance is given by [tex]d=rt[/tex], where [tex]r[/tex] is rate or speed and [tex]t[/tex] is time.

If the first plane travels at a speed of 320 mph and the second plane travels 1.5 times this, the second plane must travel [tex]320\cdot 1.5=480[/tex] mph.

Using [tex]d=rt[/tex], the first plane must travel:

[tex]d=320\cdot 5=1600[/tex] miles

The second plane must travel:

[tex]d=480 \cdot 5=2400[/tex] miles

However, these are the planes' respective distances from point [tex]p[/tex]. Since they travelled in opposite directions, the total distance between them is equal to [tex]1600+2400=\boxed{4,000\text{ miles}}[/tex]

help me please lol this is an important grade

Answers

Answer:

YOUR ANSWER IS B

Step-by-step explanation:

7. Find the area of Circle Y

Answers

Answer:

a. About 263.08 m²

Step-by-step explanation:

First find the radius (r):

Area of sector = central angle/360 ×πr²

Area of sector = 85.5 m²

Central angle = 117°

Plug in the values into the equation

85.5 = 117/360 × π*r²

85.5 = 1.02 × r²

85.5 - 1.02 = r²

84.48 = r²

r = √84.48

r = 9.19 m

✔️Find the area of the circle

Area of the circle = πr²

Where,

r = 9.19

Plug in the value

Area = π*9.2²

Area = 265.326663 (this is close to 263.08 cm²)

Area therefore is about 263.08 cm².

I don’t know the answer please help me out

Answers

A. 1/3 x 45 < 45
Explanation:
1/3 x 45 is 15, so the comparison is correct because 15 is less than 45.

the rest of the choices are incorrect because:
B. 60 < 60 x 3/4 is wrong because 60 x 3/4 = 45 which is LESS than 60, not greater

C. 20 x 1/5 >20 is wrong because 20 x 1/5 = 4 which is LESS than 20, not greater

D. 25 < 2/3 x 25 is wrong because 2/3 x 25 = 16 2/3 which is LESS than 25, not greater

Have a nice day (brainliest pls tysm!)

A sheriff is interested in the average speed that people drive on Highway 50. Match the vocabulary word with its corresponding example.
A- The average speed that all drivers go on Highway 50
B- All people who drive on Highway 50
C- The average speed that the 250 randomly selected drivers drove on Highway 50
D- The speed that a driver drives on Highway 50
E- The 250 randomly selected drivers who were on Highway 50
F- The list of the 250 speeds that the drivers studied drove
a. Statistic
b. Population
c. Sample
d. Parameter
e. Data
f. Variable

Answers

Answer:

A: Parameter

B: Population

C: Statistic

D: Variable

E: Sample

F: Data

Step-by-step explanation:

A- The average speed that all drivers go on Highway 50: This is the parameter because it is the mean of the population.

B- All people who drive on Highway 50: This is the Population because it is from here that the sample was taken.

C- The average speed that the 250 randomly selected drivers drove on Highway 50: This is the statistic because it represents the mean of the sample.

D- The speed that a driver drives on Highway 50: This is the Variable because it varies with each driver.

E- The 250 randomly selected drivers who were on Highway 50: This is the sample because it is taken from a part of the population.

F- The list of the 250 speeds that the drivers studied drove: This is the data because it gives us information on the different speeds for this specific research.

Please help me with this
Look at the image

Answers

Answer:

do it ur self

Step-by-step explanation:

and don't cheat

15. Set up a proportion and use it to solve for x. Show your work.
2
10
X
3

Answers

Answer:

x = 15

Step-by-step explanation:

Create a proportional relationship to solve for x

3/2 = x/10

Cross multiply

2x = 30

Divide both sides by 2

x = 15

Answer:

Step-by-step explanation:

10/(10 + 2) = x/(x + 3)      Combine left denominator

10/12 = x/(x + 3)              Cross multiply  

10(x + 3) = 12*x                Remove the brackets on the left

10x + 30 = 12x                Subtract 10x from both sides

-10x           -10x

         30 = 2x                Divide by 2

2x/2 = 30/2

x = 15

Helpppp me with explanation also please:(((((

Answers

Answer:

x=7/3

Step-by-step explanation:

3x2y=5 equation 1

3x-2y=9 equation 2

6x=14 add above 2 equations which eliminates y

x=14/6

x=7/3

Out of 449 applicants for a job, 253 have over 5 years of experience and 62 have over 5 years of experience and have a graduate degree. Step 1 of 2 : What is the probability that a randomly chosen applicant has a graduate degree, given that they have over 5 years of experience

Answers

Answer:

The probability that a randomly chosen applicant has a graduate degree, given that they have over 5 years of experience, is 24.50%.

Step-by-step explanation:

Given that out of 449 applicants for a job, 253 have over 5 years of experience and 62 have over 5 years of experience and have a graduate degree, to determine what is the probability that a randomly chosen applicant has a graduate degree, given that they have over 5 years of experience, the following calculation must be performed:

253 = 100

62 = X

62 x 100/253 = X

6,200 / 253 = X

24.50 = X

Therefore, the probability that a randomly chosen applicant has a graduate degree, given that they have over 5 years of experience, is 24.50%.

regina walked 1/6 of a mile each day for 8 days. how many miles did she walk in all


HELP PLS

Answers

1 mile and 2/6 (1/3 simplified)

The Centers for disease Control and Prevention Office on Smoking and Health (OSH) is the lead federal agency responsible for comprehensive tobacco prevention and control. OSH was established in 1965 to reduce the death and disease caused by tobacco use and exposure to second-hand smoke. One of the many responsibilities of the OSH is to collect data on tobacco use. The following data show the percentage of adults in the United States who were users of tobacco from 2001 through 2011:
Year Percentage of Adults Who Smoke
1 22.9
2 21.7
3 21
4 20.3
5 20.3
6 19.9
7 19.4
8 20.7
9 20.7
10 19
11 18.8
What type of pattern exists in the data?
Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series.
One of OSH’s goals is to cut the percentage of U.S. adults who were users of tobacco to 12% or less within nine years of the last year of these data. Does your regression model suggest that OSH is on target to meet this goal?
Use your model to estimate the number of years that must pass after these data have been collected before OSH will achieve this goal.

Answers

Mark Brainliest please

Step 1
Given,

Slope is b0=0.2809

Intercept is b1=21.9945

Let y=the percentage of adults who smoke.

And x=year

Therefore, the regression equation is obtained as-

y=21.9945+0.28...

PLEASE HELP!!!

WILL MARK BRAINIEST!!!

If angle ABE= 43, then angle DBC =_____

Thank you!

Answers

Answer:

If angle ABE = 48°,then angke DBC = 43° .

Step-by-step explanation:

Since, ∠ABE = 43 °

∠DBC = 43 ° .. ( Vertically opposite angles)

Which is the graph of the linear equality 2x-3y<12

Answers

Answer:

The graph below shows the answer to

2x - 3y < 12

Also shown as

-3y < -2x + 12

Step-by-step explanation:

You can rearrange the inequality by subtracting 2x from both sides to isolate the y.

You now have -3y < 12 -2x

which can be put into the standard linear equation form of

-3y < -2x + 12

Then you divide both sides by -3 to get singular value of y, which is something like

-3/-3y < -2/-3x + 12/-3

which is

y > 2/3x -4

Note: I switched direction of the inequality because you are dividing both sides by a negative value.

The sum of triple a number and 5 is 40.

Answers

x =35/3 or 11 2/3 or 11.6
(all forms)

hope this helped !!
x=35/3 or 11.6 ur welcome

E gawain sa pagktuto bilang 1 basahin at unawain ang bawat suliranin lutasin ang suliranin gamit ang polyas 4 step process.

Answers

Answer:

CHerry emoji

Step-by-step explanation:

Find AR
step by step pleaseeee

Answers

if RD is 12cm so AR is 12cm too... since the R is placed in the middle and we can analyze too that the AD is 24cm since RD is 12cm and AR is 12cm so...

12+12=24

AR= 12cm

Hope it helps...

convert 15 to gray code​

Answers

Step-by-step explanation:

15 = 1000

its done .

may it helped u

(5/12 divided by 3/4 )
please finde this..
this is 7th class question​

Answers

5/12 / 3/4= 5/12 *. 4/3= 20/36= 10/18= 5/9

So 5/9 :))))

Guided Practice
Graph each equation by making a table. Then state the
domain and the range.
5A. 2x – y = 2
5B. x = 3
5C. y = -2

Answers

Use a graphing calculator

The work of a student to find the dimensions of a rectangle of area 8 + 12x and width 4 is shown below:

Step 1: 8 + 12x
Step 2: 4(4) + 4(8x)
Step 3: 4(4 + 8x)
Step 4: Dimensions of the rectangle are 4 and 4 + 8x

In which step did the student first make an error and what is the correct step? (1 point)

Select one:
a. Step 2; 4(2) + 4x(2)
b. Step 2; 4(2) + 4(3x)
c. Step 3; 4 + (4 + 8x)
d. Step 3; 4 + (4 ⋅ 8x)

Answers

Answer:

step c

Step-by-step explanation:

plzz help ill mark u brainliest

A. Angle 4 is congruent to.
b. Angle 5 is congruent to.
c. The sum of angles 1,4 and 5 equals.
d. Therefore the sum of angles of 1, 2, and 3 equals

Answers

Step-by-step explanation:

<5 is congruent to <3 ( parallel lines form alternate interior angles)

<4 is congruent to <2 ( parallel lines form alternate interior angles)

the sum of angles 1,4, and 5 equals 180 (angles on a line)

the sum of angles 1,2,3 equal 180 as well

Change fraction ( 11/4) from an improper fraction to a mixed number.

Answers

Answer:

Have a nice day :)

Step-by-step explanation:

To convert 11/4 into a mixed number, we need to divide 11 by 4 and get the values of quotient and remainder after performing division. When we divide 11/4, we get 2 as the quotient and 3 as the remainder. Now use the calculator to convert the following improper fractions to mixed fractions: 45/6

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