express
[tex](4 - x) {}^{ \frac{1}{2} } [/tex]
in ascending power of x up to term x²

Answers

Answer 1

Answer:

Step-by-step explanation:

Remember:

[tex]\boxed{(1+y)^{\frac{1}{2} }= 1+\dfrac{y}{2} -\dfrac{y^2}{2*4} +\dfrac{1*3*y^3}{2*4*6} +K\ with -1 < y \leq 1 }\\\\\\Let\ say\ 4-x=1+y\ or\ y=3-x\\\\\\(4-x)^{\frac{1}{2} }=1+\dfrac{3-x}{2} -\dfrac{(3-x)^2}{2*4} +K\ with\ 2\leq x <4\\\\=\dfrac{29}{8} -\dfrac{5x}{4} +\dfrac{x^2}{8} +K\\[/tex]


Related Questions

(08.01, 08.02, 08.03 HC)
Create a factorable polynomial with a GCF of 2. Rewrite that polynomial in two other equivalent forms. Explain how each form was created. (10 points)

Answers

Answer:

See the image for solution

Hope it helps

Have a great day

Please Help!!! Solve for xxx in the diagram below.

Answers

Answer:

40 is your answer

Step-by-step explanation:

3x= 120 ( vertically opposite angles)

x=120/3

x=40

Lizzie came up with a divisibility test for a certain number $m \neq 1$:

Break a positive integer n into two-digit chunks, starting from the ones place. (For example, the number 354764 would break into the two-digit chunks 64, 47, 35.
Find the alternating sum of these two-digit numbers, by adding the first number, subtracting the second, adding the third, and so on. (In our example, this alternating sum would be 64-47+35=52.


Sorry for the big problem but I really need help with this :grimacing:

Answers

Answer:

101

Step-by-step explanation:

Write 27 as a power and as repeated multiplication

Answers

Answer:

3*3*3

3^3

Step-by-step explanation:

27 = 9*3

    = 3*3*3

    = 3^3

Answer:

3^3

3 • 3 • 3

Step-by-step explanation:

27 = 9 • 3

27 = 3 • 3 • 3

27 = 3^3

The subtotal amounts of a telephone bill are as follows. Find the grand amount if the service charge is 10% and VAT is 13%. (a) Rs 5000 (b) Rs 6000 (c) Rs 3000​

Answers

Answer:

............................. ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,____________

Step-by-step explanation:

I don't know

divide 8 1/2 by the positive difference 4 4/5 and 7 7/10​

Answers

[tex]\\ \sf\longmapsto 8\dfrac{1}{2}\div \left(4\dfrac{4}{5}-7\dfrac{7}{10}\right)[/tex]

[tex]\\ \sf\longmapsto \dfrac{17}{2}\div \left(\dfrac{24}{5}-\dfrac{77}{10}\right)[/tex]

[tex]\\ \sf\longmapsto \dfrac{17}{2}\div\left(\dfrac{48-77}{10}\right)[/tex]

[tex]\\ \sf\longmapsto \dfrac{17}{2}\div \left(\dfrac{29}{10}\right)[/tex]

[tex]\\ \sf\longmapsto \dfrac{17}{2}\times \dfrac{10}{29}[/tex]

[tex]\\ \sf\longmapsto \dfrac{17(10)}{2(29)}[/tex]

[tex]\\ \sf\longmapsto \dfrac{170}{58}[/tex]

[tex]\\ \sf\longmapsto \dfrac{85}{29}[/tex]

[tex]\\ \sf\longmapsto 2\dfrac{27}{29}[/tex]

Answer:

2 27/29

Step-by-step explanation:

The positive difference is the result of subtraction of the smaller number from the greater number.

The positive difference of 4 4/5 and 7 7/10 is:

7 7/10 - 4 4/5 = 77/10 - 48/10 = 29/10

Now division:

8 1/2 : 29/10 = 17/2 * 10/29 = 85/29 = 2 27/29

What is the volume of this cylinder shown below?

Answers

Answer:  138.16 cubic feet (choice H)

This volume is approximate and occurs when you use pi = 3.14

==========================================================

Work Shown:

r = 2 ft = radius

h = 11 ft = height

V = volume of cylinder

V = pi*r^2*h

V = pi*2^2*11

V = pi*4*11

V = pi*44

V = 44pi .... exact volume in terms of pi

V = 44*3.14

V = 138.16 .... approximate volume and the final answer

Answer:”H”

Step-by-step explanation: just trust the process

35
10
10
15
10
30
15
10
60
Explain why the student's statement about the area is incorrect.

Answers

Answer:

Statement is?

Step-by-step explanation:

As soon as you finish the question!

When the length of a side of a square is increased by 5, the perimeter of the new square is 60. What equation can be used to find the length of the side of the original square?

Answers

Answer:

The answer will be 4(x+5)=60

solve for x, need help!

Answers

Answer:

Cosθ =Adjacent / hypotenuse

[tex] \cos(45) = \frac{6}{x} \\ \frac{1}{ \sqrt{2} } = \frac{6}{x} \\ x = 6 \sqrt{2} [/tex]

A total of 574 tickets were sold for the school play. They were either adult tickets or student tickets. There were 74 more student tickets sold than adult tickets. How many adult tickets were sold?

Answers

Answer:

411 #

Step-by-step explanation:

solution :

Let x = the number of adult tickets sold

Let x + 61 = the number of student tickets sold

x + x + 61 = 761

2x = 700

x = 350

x + 61 = 411

mark me brain list

Alguien me ayuda con esto?

Answers

Answer:

x=10

Step-by-step explanation:

10 a 8 son dos, entonces 14 ax es 4

Answer:

La explicación sería:

//////////////////////////

=> 9 * 2 + 4/2 = 20

=> 18 +2 =20

=> 20 =20

//////////////////////////

=> 5*2 + 8/2 = 14

=> 10 +4 =14

=> 14 =14

//////////////////////////

=> 3*2 + 10/2 = x

=> 6 + 5 = x

=> 11 = x

A cube has a volume of 125 cubic inches. What is the length of each edge?
Enter your answer in the box.
(Needs to be in inches)

Answers

The formula for the volume of a cube is V = a^3.

We know the volume is 125 cubic inches.

125 = a^3

Take the third square root

5 = a

The length of each edge is 5 inches

Answer:

So the length of the edge of a cube with a volume of 125 is 5 inches

Step-by-step explanation:

All the edges of a cube have the same length, and the volume of a cube is the length of an edge taken to the third power.

So if we take the edge of the cube to be of length x, then:

Volume=x3

125=x3

5=x

solve for n if nC2=nC4

Answers

Answer:

Ans is 8

Hope it is helpfully.Have a nice day.

18. If geeta saves 40% of his monthly income and she spends Rs. 15000 every month, find her monthly income​

Answers

Answer:

Her monthly income is Rs. 21000

Step-by-step explanation:

15000 x ( 1 + 40 % )

= 15000 x 140 %

= 21000

y + (2/25) = 11/15
What’s y

Answers

Answer:

[tex]\frac{49}{75}[/tex]

Step-by-step explanation:

y= [tex]\frac{11}{15}[/tex]-[tex]\frac{2}{25}[/tex]

y= [tex]\frac{49}{75}[/tex]

Answer:

49/75

Step-by-step explanation:

y + 2/25 = 11/15

now, we could do it like the other answer and do fraction arithmetic, or we try and multiply everything out to eliminate the fractions :

15y + 30/25 = 11

375y + 30 = 275

375y = 245

y = 245/375 = 49/75

the same result, of course, but a slightly different way to get there.

Which of the two numbers -0.514 and -0.5148 is larger?
The larger number is

Answers

-0.514 is larder cuz of the negative sign

Answer:

larger number is -0.514

Step-by-step explanation:

-0.514 is greater than -0.5148 by 0.0008

The following is the correct way to show the product for 0.386 × 6.1:

Multiplication standard algorithm of 0.386 times 6.1. There is a solid line underneath the 6.1 that yields 386. Underneath the 386 there is a plus 23160. There is a line underneath the 23160 with 2.3546 underneath it.
is it
True
False

Answers

Answer:

In my point of view It's true

Answer:Ture

Step-by-step explanation: dont have one jsut makes the most sense im a very smart 14 y/o

Volumeofasphere = ar A Walmart employee has decided that they would like to completely fill the
ball bin in the toy section with one type of ball.
The ball he decided to use had a radius of 16 cm. The ball bin is 210 centimeters tall and the opening at the
top is 150 centimeters by 150 centimeters. How many balls should fit inside the bin?

Answers

Number of balls should fit inside the bin are 216 balls.

Given:

Radius of spherical ball = 16 cm

Height of cylinder = 210 cm

Diameter of opening = 150 cm

Find:

Number of  balls should fit inside the bin

Computation:

Volume of sphere = [tex][\frac{4}{3}] [\pi ][r^3][/tex]

Volume of sphere ball = [tex][\frac{4}{3}] [\pi ][16^3][/tex]

Volume of sphere ball = 17164.19 cm³

Radius of cylinder = Diameter of opening / 2

Radius of cylinder = 150 / 2

Radius of cylinder = 75 cm

Volume of cylinder = [tex][\pi ][r^2][h][/tex]

Volume of cylinder = [tex][\pi ][75^2][210][/tex]

Volume of cylinder = 3,712,500 cm³

Number of balls should fit inside the bin = Volume of cylinder / Volume of sphere ball

Number of balls should fit inside the bin = 3,712,500 / 17,164.19

Number of balls should fit inside the bin = 216.293

Number of balls should fit inside the bin = 216 balls (Approx.)

Learn more:

https://brainly.com/question/13338592?referrer=searchResults

If n( μ ) = 100, n(A) = 50, n(B) = 20 and n( ) A B ∩ =10, then ( ) c nAB ⎡ ⎤​

Answers

Step-by-step explanation:

Correct option is

A

50

n(AΔB)=n(A∪B)−n(A∩B) [As n(A∪B)=n(A)+n(B)−n(A∩B)]

=n(A)+n(B)−2n(A∩B)

=50+20−2(10)=50

The winning team's score in 5 high school basketball games was recorded. If the sample mean is 62.3 points and the sample standard deviation is 11.0 points, find the
98% confidence interval of the true mean.

A) 57.4 < µ < 67.2 B) 50.8 < µ < 73.8
C) 25.4 < µ < 99.2 D) 43.9 < µ < 80.7

Answers

Answer:

This is 3.747*11/sqrt(5)=18.4

the interval is (49.9,86.7), the SE added to and subtracted from the mean.

It is B

                          Thank You

Solve the equation. Check your solution.

Answers

Answer:

x = 5

Step-by-step explanation:

x^2/(x + 5) = 25/(x+5)      Subtract the right side from both sides.

x^2/(x + 5) - 25/(x + 5) = 0

x^2 - 25

=======   = 0

x + 5

(x + 5)(x - 5)

============= = 0

(x + 5)

Cancel x + 5 in the numerator and denominator.

x - 5 = 0

x = + 5

Does it check?

x^2/(x + 5) = 25/(x + 5)

x = 5

5^2/(10) = 25/10

25/10 = 25/10 Yes it checks.

help me do this plz brainiest to whoever right

Answers

Answer:

3.16 miles

Step-by-step explanation:

Hi there!

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] where two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

We're given that the campsite is located at (1,7) and the checkpoint station is located at (4,6). We must calculate the distance between them. Plug these points into the formula:

[tex]d=\sqrt{(x_2-1)^2+(y_2-7)^2}\\d=\sqrt{(4-1)^2+(6-7)^2}\\d=\sqrt{(3)^2+(-1)^2}\\d=\sqrt{9+1}\\d=\sqrt{10}\\d\approx3.16[/tex]

Therefore, the distance between the campsite and the checkpoint is 3.16 miles when rounded to the nearest hundredth.

I hope this helps!

Use the number line below to find the midpoint of segment AB

midpoint of segment AB

Answers

Answer:

-4 is the mid point

Step-by-step explanation:

-4 is in the middle of A and B

From the equation, find the axis of symmetry of the parabola.
y = negative 4 x squared + 24 x minus 35

Answers

The value of b for which the quadratic equation x² - bx + 16 = 0 have exactly two different integer solutions is b > 8

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A quadratic equation is in the form:

y = ax² + bx + c

Where a, b and c are constants.

Given the equation:

y = -4x² + 24x - 35

From the graph of y = -4x² + 24x - 35, the axis of symmetry of the parabola is at x = 3

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

HELP PLEASE I WOULD REALLY APPRECIATE IT - Ken can run m miles
at a pace of 6.30
minutes per mile. He
ran slower for 10
minutes to warm up.
Write an equation
that represents the
total time, t, Ken
spent running.

Answers

Answer:

keep can run millions at 30 friends all for 10 minutes for what purpose for running running of the steelers versus the dynasties of running of the

What's (6+5i)(6-5i) using the foil method

Answers

Answer:

Step-by-step explanation:

[tex]Remember:\\(a+b)(a-b)=a^2-b^2\\\\(6+5i)(6-5i)=6^2-(5i)^2=36-(-1)*25=36+25=61\\[/tex]

Oliver bought 8 bags of marbles.There we're 7 green and 7 blue in each bag.How many marbles did he buy in total? use the doubles strategy to show your work.

Answers

Answer:

112

Step-by-step explanation:

1 bag- Has 14 marbles in all

So if you multiply 14 times 8 total bags you get 112.

What is the value of x?

Answers

-First you have to know that line KL is a line that is 180 degrees.
-Next you have to add the 90 degrees and 15 degrees to get a total of 105 degrees.
-Divide 75 by 5 and you get…
- x=15

what is the equation of a line parallel to y = -1/2x + 6 that passes through (-4, 1)​

Answers

Answer:

y = -1/2x - 1

Step-by-step explanation:

A line that is parallel to another will have the same slope. All we need to do is find the new y-intercept. We can do that by using the slope intercept form equation [ y = mx + b ].

1 = -1/2(-4) + b

1 = 2 + b

-1 = b

Now we can input the information we know and solved for back into the formula.

y = -1/2x - 1

Best of Luck!

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