What is the base in the following expression?

Answer:

C. The coefficients of [tex]x^ay^b[/tex] and [tex]x^by^a[/tex] are equal.

Step-by-step explanation:

The binomial theorem is given as:

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

[tex]n-k+k=n[/tex], and the coefficient of these terms are represented by [tex]\binom{n}{k}[/tex].

*Note [tex]\binom{n}{k}=\binom{n}{n-k}=\frac{n!}{k!(n-k)!}[/tex]

Therefore the coefficients of [tex]x^ay^b[/tex] and [tex]x^by^a[/tex] are equal.

Answer:

B

Step-by-step explanation:

I think

Hey there!

You would probably need to know the dimensions and surface area of the cabinet, and the dimensions and area of the sticky notes.

Hope it helps and have an amazing day!

Answer: 50:50

Step-by-step explanation:

Answer:

Expand on the name.......

Answer:

[tex]g^{-1}(x)=\sqrt[3]{\frac{x-a}{41}}[/tex]

Step-by-step explanation:

The inverse of a function has [tex]x[/tex] and [tex]y[/tex] values switched from the original function. Therefore, simply switch [tex]x[/tex] and [tex]y[/tex] and isolate [tex]y[/tex] to get your inverse function:

Original function: [tex]g(x)=41x^3+a[/tex]

Switching [tex]x[/tex] and [tex]y[/tex], then isolating [tex]y[/tex]:

[tex]x=41y^3+a,\\x-a=41y^3,\\\frac{x-a}{41}=y^3,\\y=\sqrt[3]{\frac{x-a}{41}}[/tex].

Therefore, the inverse of the [tex]g(x)=41x^3+a[/tex] is:

[tex]\fbox{$g^{-1}(x)=\sqrt[3]{\frac{x-a}{41}}$}[/tex].

Answer:

Step 2: 11 × 2 - 7

Step-by-step explanation:

unzsun sun dn I'd i

Answer:

c is correct answer is yes

Answer:

D. 1/2 barrel/hour

Step-by-step explanation:

Parallelogram and Rectangle has rotational symmetry of 180 degree.

Trapezoid has rotational symmetry = 360 degree.

Isosceles Trapezoid has rotational symmetry = 360 degree.

Parallelogram has rotational symmetry = 180 degree.

Rhombus has rotational symmetry = 90 degree.

Rectangle has rotational symmetry = 180 degree.

Square has rotational symmetry = 90 degree.

Learn more: https://brainly.com/question/20969283

Answer:

d

Step-by-step explanation:

Answer:

μd= 1 second

σd= square root (1.25) = √1.25 seconds= 1.1180 seconds

Step-by-step explanation:

Assume that their times are independent. Let DDD be the difference between their times in a random 100-meter dash (D=A-J)(D=A−J)left parenthesis, D, equals, A, minus, J, right parenthesis.

Find the standard deviation of DD

The mean difference is found out by subtracting the individual means.

The mean difference = μd= μA- μJ= 11.5- 10.5= 1 second

The difference standard deviation is given by the square root of sum of the individual variances divided by n. But here n1= n2= 1

σd = sqrt( σ1² / n1 + σ2 ²/ n2 )

First we calculate the variances.

Variance is the square of the standard deviation.

The variance of Andy =σA²= 1²= 1

The variance of Jim =σJ²= (0.5)²= 0.25

The standard deviation difference= σd= √σ²A+ σ²J/1= √1+ 0.25/1= √1.25/1 = √1.25 seconds = 1.1180 seconds

Answer:

C. 1-x

Step-by-step explanation:

Negatives are alwys less than positives meaning a&b are out and 1-100 is -99 and 10-100 is -90 meaning that C is your answer

Answer: You get 26, If this wasn't what you were looking for let me know! :)

Step-by-step explanation:

Um, 16 I guess, I'm not sure

Answer:

I think the slope is -20/17 hope this helps

Answer:

the answer is 4

Step-by-step explanation:

none of the options are right

Answer:

Leaves are adapted for photosynthesis and gaseous exchange. They are adapted for photosynthesis by having a large surface area, and contain openings, called stomata to allow carbon dioxide into the leaf and oxygen out. ... The cells inside the leaf have water on their surface.

Answer: A

Step-by-step explanation:

might as well tell ur teachers ur awesome no matter wat.

Answer:

42/145

Step-by-step explanation:

i tried might be wrong

Answer:

.3988 .

Step-by-step explanation:

We shall use Binomial distribution formula in the problem .

n = 103

The probability that a passenger will not miss the flight and show up = .97

The probability that a passenger will miss the flight = .03

n = 103 ,

probability of showing up  101 , 102 and 103 passengers so that at least 1 passenger will return or bump .

= 103C₁₀₁ .97¹⁰¹ .03² + 103C₁₀₂ .97¹⁰² .03+ 103C₁₀₃ .97¹⁰³

103 x 102 /2  .97¹⁰¹ .03² + 103  .97¹⁰² .03 + .97¹⁰³

= 5253 x .046 x .0009 + 103 x .00134 + .0434

= .2174 + .1380 + .0434

= .3988 .

The probability that the airline will have to bump at least one passenger is; 0.3988

Probability that the travelers did not show up for the flight is; q = 3% = 0.03

Probability that they will show up for the flight is; p = 97% = 0.97

P(X = r) = nCr × p^(r) × q^(n - r)

Thus, the probability that the airline will have to bump at least one passenger is;

(103C₁₀₁ × 0.97¹⁰¹ × 0.03²) + (103C₁₀₂ × 97¹⁰² × 0.03) + (103C₁₀₃ × 0.97¹⁰³ × 0.03⁰)

>> 0.2174 + 0.1380 + 0.0434

>> 0.3988

Read more on binomial probability at; https://brainly.com/question/15246027

Answer: 3 2/3

Step-by-step explanation:

how many groups of 3 can u make out of 11 units? Answer: 3

Rest overs: 2/3

Answer:

3 2/3

Step-by-step explanation:

3 can go into 11, 3 times. 3x3=9 and 11-9=2 so the mixed number would be 3 2/3

Answer:

A. 9boys to 6girls

Step-by-step explanation:

If the original ratio of boys to girsl was 18 boys to 12 girls, then the simplified ratio is 3 boys to every 2 girls.

3:2

9:?

Divide 9/3=3

So the simplified ratio times 3 would give you the ratio if boys to girls when there are 9 boys

2*3=6

6 girls when there are 9 boys

Answer:

The point where the demand curve and the supply curve meets

Step-by-step explanation:

The equilibrium point is the point at which the quantity of vintage vinyl supplied and the quantity demanded is equal at a particular price.

From the graph, the equilibrium point is the point at which the demand curve and the supply curve intersects.

So, the equilibrium point if vintage vinyl is at the point somewhere between the price of 20 and 30, and the point where the quantity is somewhere between 50 and 100.

Answer:

at the intersection of the 2 lines at that dot that is on both lines

Step-by-step explanation:

Answer: 24y - 8w + 16

Step-by-step explanation:

Basically to remove the parenthesis you just distribute the -4 outside of the parenthesi and you get 24y - 8w + 16.

Answer:

blue= x

pink=2x

green= 4x

orange=8

=

7x+8

Step-by-step explanation:

Answer:

x = 27

Step-by-step explanation:

∠ CAD and ∠ EDF are corresponding angles and are congruent, so

∠ CAD = 2x

The sum of the 3 angles in Δ ABD = 180°

sum the angles and equate to 180

72 + 2x + 2x = 180

72 + 4x = 180 ( subtract 72 from both sides )

4x = 108 ( divide both sides by 4 )

x = 27

Answer:

20%

step-by-step way

Answer:

Tough to tell by just the straight graph, but the inequality will be > or < due to the dashed line

Answer:

y>4x-2

Step-by-step explanation:

Find the slope, which is 4, from (0,-2) and (1,2).

Find the y-intercept, which is -2, because it touches the y-axis at (0,-2).

We know the equation would be a greater/less than sign because the line is dashed.

To find out which sign it is, just substitute a random point from the shaded area. (I like to use (0,0)).

(0)<4(0)-2       (0)>4(0)-2

0<0-2              0>0-2

0<-2                0>-2

The one on the right, 0>-2, is true so the sign is a greater than sign.

The solution of the linear equations y = -2x - 4 and y = 2x - 4 is (0, -4).

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The linear equations are given below.

y = -2x - 4         ...1

y = 2x - 4          ...2

From equations 1 and 2, then we have

2x - 4 = - 2x - 4

4x = 0

x = 0

Then the value of the variable 'y' is calculated as,

y = 2(0) - 4

y = - 4

The solution of the linear equations y = -2x - 4 and y = 2x - 4 is (0, -4).

More about the solution of the equation link is given below.

https://brainly.com/question/545403

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