Which row of Pascal’s triangle would you use to expand (2x + 10y)15? row 10 row 12 row 15 row 25

Answers

Answer 1

Answer:

Row 15 is correct

Step-by-step explanation:

Pascal's triangle:  

                                              1                                            n = 0 , Row = 0

                                      1                 1                                  n = 1  , Row = 1

                             1               2                1                          n = 2 , Row = 2

                                               :

                                          .........

                                           .......

For n = 0, Row number 1  

For n = 1,  Row number 2

For n = 2, Row number 3

We make pascal's triangle but sum of above two number, write below.  

As we can see in pascal's triangle.  

Exponent represent the number of row.  

If binomial has exponent n then nth row of pascal's triangle use.  

For  

Here power is 15  

So, we have to use 15 row of pascal's triangle.  

Hence, Row 15 is correct

Answer 2

Answer:

the second part is 16

Step-by-step explanation:


Related Questions

A hairstylist schedules 14 hour to trim a customer's hair and 16 hour to style the customer's hair. The hairstylist plans to work 3 13 hours each day for 5 days each week. How many appointments can the hairstylist schedule each week if each customer must be trimmed and styled?

Answers

Answer:

40 customers

Step-by-step explanation:

Trimming = 1/4 hours

Styling = 1/6 hours

Working hours per day = 3 1/3 hours

Working days per week = 5

Total work time per week :

3 1/3 * 5 = 10/3 * 5 = 50 / 3 hours

Time taken for styling and trimming :

1/4 + 1/6 = (3 + 2) / 12 = 5/12

Number of appointments stylist can schedule each week :

Total work time / time taken per person

(50 / 3) ÷ (5 / 12)

(50 /3) * (12 /5)

(50 * 12) / (3 * 5)

= 600 / 15

= 40

The Coney Island Boardwalk is 2.7 miles long. A person jogged at the average speed of 6 mph. How long will it take the person to walk the boardwalk to the end and back?

Answers

Answer:0.9

Step-by-step explanation:

The speed of an object is defined as the ratio of distance travelled by it to the time taken. It will take a person 0.9 hours to walk end and back .

What is Speed?

Speed is the ratio of distance and time. It is a measure of how fast or slow an object is moving. A high speed object takes less time to travel the same distance as compared to a low speed object.

Given length of island is 2.7 miles.

Speed of the person is 6 mph.

Thus total length for travelling end and back  2.7 + 2.7 =5.4 miles.

Time taken = distance/speed

Therefore, time taken by the person is given as, time is 5.4/6 = 0.9 hours.

Hence, the person will have to take 0.9 hours to walk island end and back.

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3g-2+7g+8=
What is this

Answers

Answer:

10g+6 is the answer

Step-by-step explanation:

I am having problem in these:-
1)There are two cylinders - cylinder A and cylinder B. Both the cylinders have equal volume,
Cylinder A has a nadius of 3 m and height 7 m. Cylinder B has a height of 21 m. Calculate the radius of Cylinder B, in
om (Take =22/7)

2)A rectangular tank has dimension 12 cm by 18 cm by 20cm. There is a solid cylindrical tube in the tank that has a
volume of 320 cm"3. How much water can the tank hold?​

Answers

Answer:

1) The cone's volume is 1/3 the volume of the cylinder with the same base.

Step-by-step explanation:

i dont know number 2 even though this is 5th grade math lol

Name the coordinates of the final image of the figure after the given sequence of
transformations.
(x,y)——> (y,-x)——> (-x,y)

Answers

9514 1404 393

Answer:

S''(5, -3)T''(1, 0)U''(4, 1)V''(4, 0)

Step-by-step explanation:

The end result after the final transformation is ...

  (x, y) ⇒ (-x, y)

so, each x-coordinate is negated. The transformed coordinates are ...

  S(-5, -3) ⇒ S''(5, -3)

  T(-1, 0) ⇒ T''(1, 0)

  U(-4, 1) ⇒ U''(4, 1)

  V(-4, 0) ⇒ V''(4, 0)

What single percentage change is equivalent to a 13% decrease followed by a 19% decrease?​

Answers

Answer: 70.47%

100% - 13% = 87%

19% of 87% = 16.53%

remaining percent
= 87% - 16.53%
=70.47%

determine triangle type?

Answers

Answer:

scalene obtuse

Step-by-step explanation:

all sides are different and it has an angle 90 or greater

Answer:

Scalene obtuse I guess?

​Is 13 a solution to the compound inequality “x > 5 ​OR​ x < 10”

Answers

Answer:

no

Step-by-step explanation:

x is greater than 5 in this case, but it is not less than 10.

Answer:

13 > 5 is the solution

Step-by-step explanation:

because 13 is greater than 5

and 13 < 10 is not true because

10 is not greater than 13

The zeros of a quadratic function are 1 and 7. To which factored quadratic expression is this function related?

Answers

Here’s the answer with explanation :)

The factored quadratic expression is this function related is to be considered as the (x - 1) and (x-7).

Calculation of the factored quadratic expression:

Since The zeros of a quadratic function are 1 and 7.

So,

if we do

(x - 1) = 0

x = 1

And,

(x- 7) = 0

x = 7

Based on this, we can say that The factored quadratic expression is this function related is to be considered as the (x - 1) and (x-7).

Learn more about function here: https://brainly.com/question/24761882

evaluate the expression 2b3 + 5 when b = 3.

Answers

Answer:

Its 3

Step-by-step explanation:

Its Really easy ngl. if b = 3        and there is a 2 and u are supposed to replace the b its 3

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The value of 2b³ + 5 at b = 3 is 59.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

2b³ + 5  _____(1)

We will find the value of the expression 2b³ + 5 at b = 3.

Substitute b =3 in (1).

= 2b³ + 5

= 2 x 3³ + 5

= 2 x 3 x 3 x 3 + 5

= 2 x 27 + 5

= 54 + 5

= 59

Thus,

The value of 2b³ + 5 at b = 3 is 59.

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Max is a professional table organizer. For today’s event, he brought square tables. A single square table can seat 4 people, one at each side, as in the first picture below. If Max joins 2 tables along a side, as in the picture, he can seat 6 people. How many people can Max seat with even more tables?

Answers

Answer:

The function would be 2(t)+2 where t is the number of tables. So, the answer in a form of a table would look like this:

Tables      People

1                4

2               6

3               8

4               10

5               12

Step-by-step explanation:

Khan Academy

Please help!!!!! Urgent!!!!!

Answers

It’s b and c


Have a good day :)


The first three terms of the binomial expansion of (2 – ax)" are 64 – 16bx +100bx?.
Find the value of each of the integers n, a and b.

Ans: n=6, a=5, b=60

Answers

Answer:

n = 6, a = 5, b = 60

Step-by-step explanation:

In a binomial function (a + b)ⁿ expression that represents the terms,

(a + b)ⁿ = [tex]\sum_{k=0}^{n}\binom{n}{k}a^{n-k}b^k[/tex]

By this formula,

1st term = [tex]\binom{n}{0}a^{n-0}b^0[/tex] = aⁿ

2nd term = [tex]\binom{n}{1}a^{n-1}b^1[/tex] = [tex]n.a^{n-1}b^1[/tex]

3rd term = [tex]\binom{n}{2}a^{n-2}b^2[/tex] = [tex]\frac{n(n-1)}{2}.a^{n-2}.b^2[/tex]

For the binomial expansion initial 3 terms of (2 - ax)ⁿ = 64 - 16bx + 100bx²

Terms of (2 - ax)ⁿ = [tex]2^n+n(2)^{n-1}(-ax)+\frac{n(n-1)}{2}(2)^{n-2}(-ax)^2[/tex]

                             = [tex]2^n-n(2)^{n-1}(ax)+n(n-1)(2)^{n-3}(a^2x^2)[/tex]

Comparing the terms of both the expansions,

1st term

2ⁿ = 64

2ⁿ = 2⁶

n = 6

2d term

[tex]n(2)^{n-1}(ax)=16bx[/tex]

[tex]6(2)^{6-1}(a)=16b[/tex]

192a = 16b

b = 12a -----(1)

3rd term

[tex]n(n-1)2^{n-3}(a^2x^2)=100bx^2[/tex]

[tex]6(6-1)2^{(6-3)}(a^2)=100b[/tex]

[tex]30(2)^3(a^2)=100b[/tex]

240a² = 100b

b = 2.4a² -----(2)

From equation (1) and (2),

b = 12a = 2.4a²

a = [tex]\frac{12}{2.4}=5[/tex]

From equation (1)

b = 12a = 60

Therefore, n = 6, a = 5, b = 60

Write a linear function f with the given values. f(0) = -2,f(4) = -3
А
f(x) = {x+5
B f(x) = x
c f(x) = x-5
D f(x) = 2x - 5

Answers

Answer:

f(x) = [tex]-\frac{1}{4}[/tex] x - 2

Step-by-step explanation:

Slope of the line: m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )

f(x) = mx + b (b - is y-intercept)

(0, - 2) Coordinates of y-intercept

(4, - 3)

m = [tex]\frac{-3+2}{4-0}[/tex] = [tex]-\frac{1}{4}[/tex]

f(x) = [tex]-\frac{1}{4}[/tex] x - 2

Ryan has three consecutive scores for math. The sum of these scores is
264. Find his three math scores.

Answers

Answer:

88(%)

Step-by-step explanation:

So! We know Ryan has 3 consecutive scores or 3 of the same scores in a row, so we are going to divide 264 by 3!

264 ÷ 3 = 88

So, Ryan got an 88% 3 times!

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

send the answer fast plz with process 18 to 23 ​

Answers

18. Perimeter of rectangle = 2(l + b)

l = 16m

b = 12m

Perimeter of rectangular park = 2 (12 + 16)

= 24 + 32

= 56m

Perimeter of square park = 56m

(given that, perimeter of rectangular and square park are equal)

Perimeter of square = 4a

4a = 56

a = 56/4

a = 14m

Area of square park = a²

= 14²

= 196m²

In a school there are 1500 boys and
some are girls. If the number of boys
are 75%, calculate the number of girls

Answers

Answer:

Step-by-step explanation:

If there are 1500 total students.

75% or 1125 are boys

25% or 375 are girls.

Which would you simplify in order to evaluate the expression when the value of the variable is 2?
8.9/2
8.9 + 2
8.9(2)
(8.92)

Answers

Answer:

C. 8.9(2)

Happy to help!

Answer:

C

Step-by-step explanation:

explain how to get the slope equation for (1,2) and (3,8)

Answers

Answer:

8-2/3-1

Step-by-step explanation:

slope equation is y2-y1 over x2-x1 so in that case you would put on top the 8-2 and then for the bottom you would put the 3-1

10(y-8)=8 what is y please help

Answers

Answer:

okay i dont have a answer but use Math-way its awsome! just type the queation it will give u a answer!

Answer:

44/5 or 8.8 or 880%

A student received a 76% on an exam. If there were 20 questions on the exam, which ratio would show the number of questions answered correctly to the
total number of questions? A. 20:15 B. 5:20 C. 15:20 D. 20:5

Answers

Answer:

A

Step-by-step explanation:

The answer is A
I did it and I got it right


You are shopping for your holiday feast. The price for
a turkey at Walmart is $12.62 for 10.7 pounds. The
cost for a turkey at Kroger is 8.45 for 8.5 pounds.
Which store has the best unit price for Turkey?

Answers

Answer:

Price of 1 pound Turkey at Walmart = $1.18 and Price of 1 pound Turkey at Kroger = $0.99

So, Kroger has the best unit price for Turkey.

Step-by-step explanation:

Price of 10.7 pound Turkey at Walmart = $12.62

Price of 8.5 pound Turkey at Kroger = $8.45

We need to find store that provides best unit price for Turkey.

We need to find price of 1 pound of Turkey for each store

Price of 1 pound of Turkey at Walmart:

Price of 10.7 pound Turkey at Walmart = $12.62

Price of 1 pound Turkey at Walmart = $12.62/10.7

Price of 1 pound Turkey at Walmart = $1.18

Price of 1 pound of Turkey at Kroger

Price of 8.5 pound Turkey at Kroger = $8.45

Price of 1 pound Turkey at Kroger = $8.45/8.5

Price of 1 pound Turkey at Kroger = $0.99

So, Price of 1 pound Turkey at Walmart = $1.18 and Price of 1 pound Turkey at Kroger = $0.99

So, Kroger has the best unit price for Turkey.


please i need this answer
What is the range of the quadratic function graphed below?

Answers

Answer:

x

Step-by-step explanation:

he domain of a quadratic function in standard form is always all real numbers, meaning you can substitute any real number for x. The range of a function is the set of all real values of y that you can get by plugging real numbers into x.

Answer:

The range is y [tex]\geq 1[/tex].

Step-by-step explanation:

The graph is shifted up 1 unit, so the range will be everything positive after 1. Anything below 1 would not be in the range.

#teamtrees #WAP (Water And Plant)

Two individuals heterozygous for gene Q produced gametes by meiosis, then mated and fertilized one egg. What is the probability that both the egg and sperm will carry the recessive allele?

Answers

Answer:

0.25

Step-by-step explanation:

Following the law of segregation which states that only one of the two gene copies noticeable in an organism is diffused to each gamete (egg or sperm cell) and gene allocation is random.

A heterozygous gene for Q = Qq

If these two individuals mate and produce gametes by meiosis,

The probability that both the egg and sperm will carry the recessive allele is determined as follows:

Qq    ×    Qq

             Q              q

Q           QQ          Qq

q            Qq            qq

The probability that both the egg and sperm will carry the recessive allele qq is 25% or 0.25

Can someone Help me plz ASAP

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given the angles of the trapezoid

x°x°1/2x°1/2x°

As the sum of angle measure = 360°

i.e.

[tex]x+x+\frac{1}{2}x+\frac{1}{2}x=360[/tex]

[tex]x+x+2\cdot \frac{1}{2}x=360[/tex]

[tex]2x+2\cdot \frac{1}{2}x=360[/tex]

[tex]2x+x=360[/tex]

[tex]3x=360[/tex]

[tex]\frac{3x}{3}=\frac{360}{3}[/tex]

[tex]x=120[/tex]

The value of x = 120°

Hence, the angle measure will be:

x°=120x°=1201/2x°=1/2(120)=601/2x°=1/2(120)=60

Therefore, listing the angle measure in order from least to greatest

60°, 60 , 120 , 120°

g(x) = 32
X + 5
Given:
g(4)

Answers

Answer:

g(4)=7

Step-by-step explanation:

1/2(4) = 2

2+5 = 7

g(4)=7

Follow these steps to construct a triangle to represent the given information:

Draw a ray in the direction S 20° E from point P. Create a circle with radius 43.5. (Note that you'll be scaling down all the distances in miles by a factor of 10: 435 ÷ 10 = 43.5.) Label the point where the circle intersects the ray as C (Cali).
Draw a ray in the direction S 81° E from P. Mark an arbitrary point on this ray, and label it S.
Create a line through point S that is parallel to the north-south line through P.
Using the line passing through point S, draw a ray that is S 53° W.
Move point S along line PS until the ray S 53° W from S passes through point C. This position of S locates San Cristobal.
Paste a screenshot of your construction in the space below.

Answers

Answer:

i have to write something here so reading this is a waste of time.

A triangle can be constructed by different means such as:

A, B, C - angles or vertices.a, b, c - sides opposite to A,B,C, respectively, or their lengths.ha, hb, hc - altitudes (or sometimes heights) to the sides a,b,c.

What is a Triangle?

This refers to the plane figure that has three sides and angles.

Hence, we can see that in order to construct a triangle, they can be done by different means and the construction cannot be done for you, but the other means can include:

ma, mb, mc - medians to the sides a,b,c.la, lb, lc - bisectors of the angles A, B, C.

Read more about triangles here:

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Write 0.00109 ounces in scientific notation

Answers

Here is the answer.
You gotta move to the right 3 times

6.2 x 0.6 worth 25 points have a good day!

Answers

Answer: 3.72

Explanation:

6.2
*0.6
———
372
-000
———
3.72

Write an equation of the line with a slope of 3/4 and a y-intercept of -2.​

Answers

Answer:

y = 3/4x - 2

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

Slope m = 3/4

y-intercept b = -2

Step 2: Write linear equation

y = 3/4x - 2

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