(a) Find the first 3 terms, in ascending powers of x, of the binomial expansion of
(2+kx)²
where k is a constant. Give each term in its simplest form.

Given that the coefficient of x is 6 times the coefficient of x,
(b) find the value of k.

The sum of two complementary angles is 90 degrees.

Angle A  +  Angle B = 90

Let Angle B = X

5x + 2 + x = 90

Combine like terms:

6x +2 = 90

Subtract 2 from both sides:

6x = 88

Divide both sides by 6:

x = 88/6

x = 14.67

Angle B = 14.67 degrees ( rounded to the nearest hundredth)

When the book on baseball states that your favorite player gets on base 41% of the time he goes to bat, this percentage indicates the player's on-base percentage (OBP), a measure of how often a batter reaches base through hits, walks, or being hit by a pitch.

The on-base percentage is an important statistic in baseball as it helps to evaluate a player's offensive contribution to their team. A higher OBP means the player is more successful at getting on base, creating more scoring opportunities for their team. In this case, a 41% OBP for your favorite player signifies that they are quite proficient in reaching base.
To calculate the OBP, you can use the formula:
OBP = (Hits + Walks + Hit by Pitch) / (At Bats + Walks + Hit by Pitch + Sacrifice Flies)

Having a 41% OBP means that, on average, your favorite player reaches base 41 times out of 100 plate appearances. This is considered an above-average performance for a batter, as the league average OBP typically hovers around 32%. Your favorite player's OBP demonstrates that they are an effective offensive player, contributing to their team's success by getting on base more frequently than the average player.

To know more about percentage click here

brainly.com/question/28998211

#SPJ11

Answer:

good luck broooooooooo

Seema left 6/11 of the book for reading over the weekend.

To calculate the part of the book left for reading during the weekend, we need to subtract the part of the book Seema read during the weekday from the total book.

If Seema reads 5/11 of the book during the weekday, then:

This means 6/11 of the book is left for reading during the weekend. It is important to note that the fraction of the book read during the weekday and the fraction left for reading during the weekend add up to the total book. This means that 11/11 of the book will be read by Seema in total.

This question should be written as:

Learn more about Mike has read 2/4 book here: brainly.com/question/23514329

#SPJ4

Answer:

New force = 24 N

Step-by-step explanation:

The force acting on the object varies directly with the object's acceleration

i.e.

\(\dfrac{F_1}{F_2}=\dfrac{a_1}{a_2}\) ...(1)

We have,

F₁ = 40 N, a₁ = 10 m/s², a₂ = 6 m/s₂, F₂ =?

Put all the values in equation (1).

\(F_2=\dfrac{F_1a_2}{a_1}\\\\F_2=\dfrac{40\times 6}{10}\\\\F_2=24\ N\)

So, the new force becomes 24 N.

To find the sum, we convert the mixed numbers to improper fractions. Then, we find a common denominator and add the fractions together. Simplifying the resulting fraction gives us the answer of 7/2.

To find the sum of -1 5/6 and 5 1/3, we can follow these steps:

1. Convert the mixed numbers to improper fractions:
-1 5/6 = (-6 * 1) + 5/6

         = -6/6 + 5/6

         = -11/6
5 1/3 = (3 * 5) + 1/3

        = 15/3 + 1/3

        = 16/3

2. Find a common denominator for the fractions, which in this case is 6:
-11/6 + 16/3

3. To add the fractions, we need to have the same denominator. Multiply the numerator and denominator of the first fraction by 3, and the numerator and denominator of the second fraction by 2:
(-11 * 3)/(6 * 3) + (16 * 2)/(3 * 2) = -33/18 + 32/6

4. Now that the fractions have the same denominator, we can add them together:
-33/18 + 32/6 = (-33 + 96)/18

                      = 63/18

5. Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 9:
63/18 = (7 * 9)/(2 * 9)

         = 7/2

Therefore, the sum of -1 5/6 and 5 1/3 is 7/2.

To know more about greatest common divisor visit:

https://brainly.com/question/27962046

#SPJ11

The sum of -1 5/6 and 5 1/3 is 7/2 or 3 1/2.

To find the sum of -1 5/6 and 5 1/3, we need to convert the mixed numbers into improper fractions and then add them together.
Step 1: Convert the mixed numbers into improper fractions.
-1 5/6 can be written as -6/6 + 5/6 = -11/6.
5 1/3 can be written as 5 + 1/3 = 15/3 + 1/3 = 16/3.
Step 2: Add the two fractions.
-11/6 + 16/3 = (3*(-11))/(3*6) + 16/3 = -33/18 + 16/3 = -33/18 + 96/18 = (96 - 33)/18 = 63/18.
Step 3: Simplify the fraction, if possible.
The numerator 63 and denominator 18 have a common factor of 9. Divide both the numerator and denominator by 9.
63/18 = (7*9)/(2*9) = 7/2.

Learn more about fractions from the given link:

https://brainly.com/question/78672

#SPJ11

Answer:

x = \(25.8^{o}\) and y = \(51.4^{o}\)

Step-by-step explanation:

Known that he sum of angles on a straight line is \(180^{o}\). From the diagram;

2y + x + y = \(180^{o}\)

x + 3y = \(180^{o}\) ................ 1

Also,

2x + x + 2y = \(180^{o}\)

3x + 2y = \(180^{o}\) .............. 2

Using the elimination method, multiply equation 1 by 3 and equation 2 by 1

3x + 9y = 540 ............ 3

3x + 2y = \(180^{o}\) ............. 4

7y = 360

y = \(\frac{360}{7}\)

y = \(51.4^{o}\)

substitute the value of y in equation 1,

x + 3y = \(180^{o}\)

x + 3(51.4) = \(180^{o}\)

x + 154.2 = \(180^{o}\)

x = \(180^{o}\) - 154.2

x = \(25.8^{o}\)

Thus, x = \(25.8^{o}\) and y = \(51.4^{o}\)

Answer:

The equation best represents x, the amount of money Mr. Schultz needs to save to buy the shoes is 75+x=200

Step-by-step explanation:

Mr. Schultz was given amount on his birthday = $75

We are given that Mr. Schultz needs $200 to buy some new Jordan shoes.

Let x be the amount of money Mr. Schultz needs to save to buy the shoes

So, Total Amount saved = 75+x

Total cost of shoes = $200

So, 75+x=200

So, The required equation is 75+x=200

So, Option A is true

Hence The equation best represents x, the amount of money Mr. Schultz needs to save to buy the shoes is 75+x=200

Answer:

$7,507

Step-by-step explanation:

Answer:

x= no real numbers

Step-by-step explanation:

4+2(a+5)<-2(-a-4)

Distribute

4+2*a+2*5<-2*-1-2*-4

Simplify.

4+2a+10<2a+8

14+2a<2a+8

Subtract 2a from both sides

14<8

This is false.

There are no real solutions to the given inequality,

Answer:

second

Step-by-step explanation:

x +1<5

x<5-1

x<1<4

Answer:

The answer is A, C, and E

Answer: exponential

Step-by-step explanation:

its exponential

count the squares in each one

first is 2 squares

second is 4 squares

third is 8 squares

this is going up exponentially because the first one would be 2^1 the second would be 2^2 and the third would be 2^3

Answer:

wouldn't it be 2

Step-by-step explanation:

just taking a guess because if you square something it would most likely be 2

Answer:

1/2

Step-by-step explanation:

Given condition : t < √t

which means, √t should be greater than t

Solution :

To find the value of 't' we will use trial and error method

Now, let t = 4

   put, t = 4 in √t

       √4 = 2

√t = 2 as the square root of 4 is 2

Now, we have both the values

t = 4

√t = 2

t > √t

It is very much clear that t is greater than than √t but

we want to fulfill t < √t this condition

therefore option (3) 4 is a wrong answer

Now, let t = 1/2 [which is nothing but 0.5]

   put, t = 1/2 in √t

       √0.5 = 0.7

√t = 0.7 as the square root of 0.5 is 0.7

Now, we have both the values

t = 1/2 or 0.5

√t = 0.7

t < √t

It is very much clear that √t is greater than t

hence, it satisfies the t < √t condition

Therefore, the correct answer is option (1) 1/2

Learn about how yo find square root

https://brainly.in/question/50156103

Answer:

238+4x=242x

Step-by-step explanation:

Answer:

16x+936

You would just have to simplify and combine like terms

Answer:

34

Step-by-step explanation:

This is the answer because subtracting the two would result in the number 39.

73-39=34

Answer:

f (-4) = 3x(-4)^2 - 7x(-4) - 32 =  44

Step-by-step explanation:

you should replace every x with the number given which is here equals -4

Answer:

r = 4

General Formulas and Concepts:

Pre-Alg

Step-by-step explanation:

Step 1: Define equation

-5 + 22 = r - 4 + 3r + 5

Step 2: Solve for r

Step 3: Check

Plug in r to verify it's a solution.

Answer:

n = 20

Step-by-step explanation:

26n = 520

To isolate n, multiply both sides by 1/26

n = 20

The coefficient of variation for 2012 is 20 %. While the coefficient of variation for 2013 is 15%.Therefor the donations in 2012 shows more dispersed distribution.

Here

for 2012  x=245, s = 49

for 2013 X = 480 ,s=72

CV for 2012 is

CV =S /x* 100% =(49 / 245)*100

CV = 20 %.

of cv for 2013 is

CV= (S /x)*100= (72 /480)*100

CV = 15%

The coefficient of variation for 2012 is 20 %. While the coefficient of variation for 2013 is 15%.Therefor the donations in 2012 shows more dispersed distribution.

The coefficient of variation (CV) is a statistical measurement used to compare the amount of variation in a set of data to the mean of the data. It expresses the variation as a percentage of the mean. The formula for CV is the standard deviation divided by the mean, multiplied by 100. CV is used to determine whether the data has a large or small amount of variation relative to its mean. A low CV indicates that the data is relatively consistent, while a high CV means that the data is more spread out. The CV is useful for comparing data sets with different units of measurement or data sets with different means. CV is commonly used in fields such as finance, economics, and quality control.

Find out more about coefficient of variation (CV)

brainly.com/question/13607106

#SPJ4

Answer:

10

Step-by-step explanation:

1 pound is 16 Oz

8 x 20 = 160

160/16 = 10

Hi, there.

 _____

Letting z be the number, add 7 to it:

\(\boldsymbol{\it{7+z}}\)

We can swap z and 7 and get the same answer, as long as z is the same number.

Hope the answer - and explanation - made sense,

happy studying!!!

Answer:

25.80$

Step-by-step explanation:

Original Price for Football:$24

Rate of Tax:7.5%

\(Formula for Tax\)

\(\frac{Taxpercent}{100} x 24\)

\(\frac{7.5}{100} x24\\=1.80\)

\(Tax \\Applied:\)24+1.80=25.80$

1) The slope of y = 6x − 2 and y = 6x + 7 are both 6, thus, making them parallel.

2) The slope of y = 2x + 4 and x + 2y + 10 = 0 is 2 and -1/2, respectively. They are perpendicular.

3) The slope of y = 8x − 1 is 8 and of 7x − y − 1 = 0 is 7 and they are neither parallel nor perpendicular with each other.

1. To find the slope of the given lines, we must write their equations in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

y = 6x - 2 has a slope of 6

y = 6x + 7 has a slope of 6.

The two equations have the same slopes but different y-intercept. Therefore, the two lines are parallel.

2. y = 2x + 4 has a slope of 2.

Rearranging x + 2y + 10 = 0 into slope-intercept form gives 2y = -x - 10, so y = (-1/2)x - 5, which has a slope of -1/2.

-1/2 is the negative reciprocal of 2. Therefore, the two lines are perpendicular.

3. y = 8x - 1 has a slope of 8.

Rearranging 7x - y - 1 = 0 into slope-intercept form gives y = 7x - 1, which has a slope of 7.

The slopes of the two equation are neither the same nor the negative reciprocal of one another. Therefore, the two lines are neither parallel nor perpendicular.

Learn more about slope here: https://brainly.com/question/29044610

#SPJ11

The Adding and Subtracting Rational Expression Calculator is a free online tool that displays the results of rational number arithmetic operations.

A rational expression is nothing more than the product of two polynomials. In other words, it is a fraction with polynomial numerator and denominator. Rational expressions resemble fractions with variable denominators (and often numerators too).

Adding or subtracting rational expressions involves four steps: All fractions must be written as equivalent fractions with a common denominator. Combine the fractions to form a single fraction with a common denominator. Reduce the complexity of the expression at the top of the fraction. Reduce the fraction to its simplest terms.

Learn more on rational expression here: https://brainly.com/question/30131043

#SPJ1

The equations for Bulk Volume of a reservoir in ft³ is VB = A*h and in barrels is VB = (A*h) / 5.615. The equations for Pore Volume of a reservoir in ft³ is VP = φ*VB and in barrels is VP = (φ*VB)/5.615. The equations for Hydrocarbon Pore Volume in ft³ is VHC = φ*S*VB and in barrels is VHC = (φ*S*VB)/5.615.

The equations for calculating the bulk volume, pore volume, and hydrocarbon pore volume of a reservoir are as follows:

1. Bulk Volume (VB):

Where:

VB = Bulk Volume

A = Cross-sectional area of the reservoir in square feet (ft²)

h = Thickness of the reservoir in feet (ft)

2. Pore Volume (VP):

Where:

VP = Pore Volume

φ = Porosity of the reservoir (dimensionless)

VB = Bulk Volume

3. Hydrocarbon Pore Volume (VHC):

Where:

VHC = Hydrocarbon Pore Volume

φ = Porosity of the reservoir (dimensionless)

S = Saturation of hydrocarbons in the reservoir (dimensionless)

VB = Bulk Volume

The conversion factor from cubic feet (ft³) to barrels (bbl) is 5.615.

To know more about Bulk Volume, refer to the link :

https://brainly.com/question/29571126#

#SPJ11

The inequality expression to represent the situation is m ≤ 7

Inequalities are expressions that are not separated by an equal sign.

If Charmain must run a mile in 7 minutes or less to beat her best time, this can be expressed in inequality form as;

m ≤ 7 where:

The graph of the inequality expression is as shown below:

Learn more on inequality graph here: https://brainly.com/question/24372553