What is the conjugate of the fraction

What Is The Conjugate Of The Fraction

Answers

Answer 1

Answer:

-10 + [tex]\sqrt{17}[/tex]

Step-by-step explanation:

the importance of the conjugate is, when multiplied by the numerator and denominator, to remove the radical

for example, if you multiply (-10 - [tex]\sqrt{17}[/tex]) by (-10 + [tex]\sqrt{17}[/tex]) by using the foil method you get:

100 - 10[tex]\sqrt{17}[/tex] + 10[tex]\sqrt{17}[/tex] - 17

the two middle terms drop out and you are left with 83 in the denominator


Related Questions

Complete the statement.
63 mi
mi
h
sec

Please answer ASAP worth 25 points

Answers

0.0175 mi/sec, that is the answer

Answer:

63miles/hour=63miles/[60×60]sec=

0.0175miles/sec

20. A biologist studied the populations of geckos and salamanders at Huntington Beach State Park over
a five year period. The biologist modeled the populations, in thousands, with the following polynomials
where x is time, in years.
Geckos: 9.7 x 2 - 0.8x + 2.3
Salamanders: -1.1 x2 + 7.7 x + 5.4
Which of the following polynomials models the total number of geckos and salamanders at Huntington Beach State Park?

Answers

Answer: b

Step-by-step explanation:

Dara has to solve 35 math problems for homework. She has completed 14 of them. What fraction of the problems does she have left to do?

Answers

Answer:

The answer is 21/35 or 3/5

Step-by-step explanation:

35-14=21

look at pic 10 pts will mark brainilest
C: ( 9 x 18) + (6 x 2)
D: (20 x 6) + (18 x 3)
E: (20 x 9) - (3 x 2)

Answers

E because area is lxw

rolling an odd number on a six-sided die with its expected probability?

Answers

Answer:

The probability when rolling a regular six-sided dice that the score is an odd number is three-sixths or three out of six. Both three and six are divisible by three. Therefore, this fraction could be simplified to one-half. Three divided by three is equal to one.

1/3 is the answer hope this helps

ANSWER ASAP DONT SEND A FILE. IS THIS SHAPE A ROTATION, REFLECTION,TRANSLATION, DILATION OR NONE????ONLY ANSWER IF YOU ACTUALLY KNOW THE ANSWER

Answers

Answer:

its a reflection

Step-by-step explanation:

its a reflection across the y axis

Answer:

REFLECTION

Step-by-step explanation:

same shape, same size just flipped

(25points) Which of the following is the ratio of the area of the shaded region to the total area of the square
a)1/2
b)1/3
c)3/8
d)3/4

Answers

Answer:

C

Step-by-step explanation:

We want to find ratio of the area of the shaded region to the total area of the square.

First, we can find the total area of the square. Since QR = 7, each side of the square measures 7. Therefore, its area is:

[tex]A=(7)^2=49\text{ units}^2[/tex]

Instead of finding the shaded area, we can find the areas that are not shaded. Subtracting that into the total area will then give us the shaded area.

QRP is a triangle. Since PQRS is a square, QR = 7 = RS = SP = PQ.

So, the area of ΔQRP is:

[tex]\displaystyle A_{\Delta QRP}=\frac{1}{2}(7)(7)=24.5[/tex]

UTS is also a triangle. We are given that RU = US and PT = TS. So, Points U and T bisect RS and SP, respectively. Since RS = SP = 7, RU = US = PT = TS = 3.5. So, the area of ΔUTS is:

[tex]\displaystyle A_{\Delta UTS}=\frac{1}{2}(3.5)(3.5)=6.125[/tex]

Therefore, the total area of the white region is:

[tex]A_{\text{white}}=6.125+24.5=30.625[/tex]

Thus, the shaded region is:

[tex]A_{\text{shaded}}=49-30.625=18.375[/tex]

Then the ratio of the shaded region to the total area of the square will be:

[tex]\displaystyle R_{\text{shaded:total}}=\frac{18.375}{49}=\frac{3}{8}[/tex]

Our answer is C.

Find the area of the parallelogram shown below.​

Answers

Answer:

area of a parallelogram= base times perpendicular height

Step-by-step explanation:

area = 6 *12

72

Match each of the parts of the following polynomial with the vocabulary.
7x 2 + 9y3 + 2y - 8

Answers

Answer:

1. {c} (Coefficients)

2. {a} (Terms)

3. {b} (Variables)

4. {d} (Constants)

The cost of High Definition television now averages $1200, but the cost is
decreasing by about 15% percent per year. What will the cost be in 7
years? *

Answers

Answer:

The cost in 7 years will be of $384.69.

Step-by-step explanation:

Equation for exponential decay:

The equation for an amount after t years is given by:

[tex]A(t) = A(0)(1-r)^t[/tex]

In which A(0) is the initial value and r is the decay rate.

The cost of High Definition television now averages $1200, but the cost is decreasing by about 15% percent per year.

This means that [tex]A(0) = 1200, r = 0.15[/tex]. So

[tex]A(t) = A(0)(1-r)^t[/tex]

[tex]A(t) = 1200(1-0.15)^t[/tex]

[tex]A(t) = 1200(0.85)^t[/tex]

What will the cost be in 7 years?

This is A(7).

[tex]A(t) = 1200(0.85)^t[/tex]

[tex]A(7) = 1200(0.85)^7 = 384.69[/tex]

The cost in 7 years will be of $384.69.

pls answer this about mathh



Note :: no links no explain no ​

Answers

Step-by-step explanation:

B.

AC =BC

2x-6=x+8

2x-x=8+6

x=14

5) AC = 2x-6=2(14)-6=28-6= 22

6) BC = x+8= 14+8= 22

7) AB = AC+BC = 22+22= 44

C.

AC =BC

4x+10=7x-5

4x-7x= -5-10

-3x= -15

x= -15/-3 = 5

8) AC = 4x+10=4(5) +10=20+10= 30

9) BC = 7x-5= 7(5) -5=35-5= 30

10) AB = AC+BC = 30+30= 60

B) Solution

AC = BC

→ 2x-6 = x+8

→ 2x-x = 8+6

→ x = 14

5:- AC = 2x-6 = 2(14)-6 = 28-6 = 22

6:- BC = x+8 = 14+8 = 22

7:- AB = AC+BC = 22+22 = 44

C) Solution

AC = BC

→ 4x+10 = 7x-5

→ 4x-7x = -5-10

→ -3x = -15

→ x = -15/-3

→ x = 5

8:- AC = 4x+10 = 4(5) +10 = 20+10 = 30

9:- BC = 7x-5 = 7(5)-5 = 35-5 = 30

10:- AB = AC+BC = 30+30 = 60

[tex]3/11 divided by 44[/tex]

Answers

Answer:

3/484

Step-by-step explanation:

3/11 ÷ 44

~Turn whole number into a fraction and use copy dot flip

3/11 ÷ 44/1

3/11 * 1/44

3/484

Best of Luck!

An extensive study of the cost of health care in the U.S. showed that the mean annual spending per Medicare enrollee was $6,883. To investigate the differences across the country, a researcher took a sample of 40 Medicare enrollees in Indianapolis. For the Indianapolis sample, the mean annual Medicare spending was $5,980 and the standard deviation was $2,518. Using a level of significance of 3%, test to see if the mean annual Medicare spending in Indianapolis is lower than the national mean. Interpret your result.

Answers

Solution :

Given :

[tex]$\mu = 6883$[/tex]

[tex]$s=2518$[/tex]

n = 40

[tex]$\overline x = 5980$[/tex]

Therefore, determining the null hypothesis and alternate hypothesis is :

[tex]$H_0: \mu = 6883$[/tex]

[tex]$H_a: \mu < 6883$[/tex]

The value of the test statistics is :

[tex]$t=\frac{\overline x - \mu}{s/\sqrt n}$[/tex]

[tex]$t=\frac{5980 - 6883}{2518/\sqrt 40}$[/tex]

[tex]$t \approx -2.27$[/tex]

So, df =  n - 1

          = 40 - 1

          = 39

∴  0.01 < P < 0.025

If the P value is less than α = 0.03, we reject the null hypothesis. Therefore, we conclude that mean annual Medicare spending in Indianapolis is lower than the national mean.

Using the value of [tex]$\alpha = 0.03$[/tex], the critical value of for the test statistics is 2.17

There we reject the null hypothesis. And thus we conclude that the mean annual Medicare spending in Indianapolis is lower than the national mean.

The frame around a picture is worn and needs to be replaced. On the outsiders the rectangular frame measurements 5 inches by 7 inches. What is the outside perimeter of the frame?
17 inches
24 inches
35 inches
70 inches
plsss answer this​

Answers

Answer:

24 inches

Step-by-step explanation:

we have 4 sides 2 of them are 5 and the other 2 are 7

7 + 7 = 14

and

5 + 5 = 10

Lastly,

10 + 14 = 24

The outside perimeter of the given its width and the length is 24 inches.

What is the perimeter?

A rectangle is a quadrilateral that has two diagonals of equal length that intersect each other. The perimeter of a rectangle is the distance round the rectangle.

Perimeter of a rectangle = 2 x (length + width)

2 x (5 + 7) = 24 inches

To learn more about the perimeter of a rectangle, please check: https://brainly.com/question/3205029

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(Can Someone Help Answer This Problem) + No Links

Answers

Answer:

50 + 100n  

Step-by-step explanation:

The cost is the cost of the visit plus the cost of the cavities

50 + 100n  where n is the number of cavities

Answer:

P = 50 + 100*n

Step-by-step explanation:

1. The visit is $50

2. Additional cavity is $100

3. n cavities would cost 100*n

which one of the following piecwise graphs is not a function

Answers

Answer:

Perhaps this could be answered, if the graphs were included.

Step-by-step explanation:

Find the greatest power of 3 that is divisible of 100!

Answers

Answer:

There is no greatest power of 3 that is divisible of 100.

Step-by-step explanation:

Since any number can always be divisible of 100, there would be no greatest power of 3 that is divisible of 100 since the powers can go on and on forever without stopping, and all powers of 3 is able to be divided by 100.

A construction crew is placing a square in a wall for a new window. The window is 3 1/8 feet wide. The wall has a length of 11 3/8 feet. The crew wants to position the window at the center of the wall. How far from each edge of the wall should the window be positioned? pls answer *lipbites*

Answers

Answer:

The window should be positioned 4 1/8 feet far from each edge of the wall.

Step-by-step explanation:

Since a construction crew is placing a square in a wall for a new window, which is 3 1/8 feet wide, while the wall has a length of 11 3/8 feet, and the crew wants to position the window at the center of the wall, to determine how far from each edge of the wall should the window be positioned, the following calculation must be performed:

1/8 = 0.125

3/8 = 0.375

(11,375 - 3,125) / 2 = X

8.25 / 2 = X

4.125 = X

Therefore, the window should be positioned 4 1/8 feet far from each edge of the wall.

Plz help me well mark brainliest if correct!.

Answers

i think the answer is b

Divide by using long division:
(8x ^2+ 4x – 3) = (2x - 3)

Answers

Answer: Hello Luv......

The chosen topic is not meant for use with this type of problem. Try the examples below.

45665

8723

209÷32

Step-by-step explanation:

Hope this helps.

Mark me brainest please.

Anna ♥

I NEED HELP NOW PLEASE

Answers

Answer: B : Stretches vertically by factor 3

Step-by-step explanation: Can you mark this brainliest if this is right?

look at pic 10 pts will mark brainilest

Answers

Answer:

33

Step-by-step explanation:

You find the area of each triangle and that is (4*3)/2 which is equal to 6 but because all four sides are the same size you would multiply 6 by 4 so 6*4=24 you must also find the area of the bottom and that would be 3*3= 9 then you'd add them together 24+9=33 i hope that this helps!

PLS HELP find the area of the shape below

Answers

Answer:

160

Step-by-step explanation:

hhegdfgeye7ehewhweeej

Francesca is growing 12 inch each year. How many years will it take for her to grow 6 inches?
A. 2 years
B. 4 years
C. 8 years
D. 12 years

Answers

Answer:

If she is growing 12 inches a year, then it would take her 6 months to grow 6 inches. Unless you didn't write the question correctly, none of those are the answer..

Did you mean she’s growing 6 inches each year? If so, it would take her 2 years to grow 12 inches.

Find the area between the curve of y = 3x^6 and the x-axis interval from x = -1 to x = 1.
a. 6/7 units^2
b. 7/6 units^2
c. 9/7 units^2
d. 7/9 units^2

Answers

Answer: Letter BExplanation: Hope It Helps#CarryOnLearning <3

The area between the curve and x-axis is 6/7 units²

How can one find out the area between a curve and x-axis using integrals?

By performing a definite integral between the two locations, one can determine the area under a curve between two points. Integrate y = f(x) between the limits of a and b to determine the area under the curve y = f(x) between x = a and x = b. Areas below the x-axis will have a negative result, while those above the x-axis will have a positive result.

Solution:

Given,

curve y= 3x⁶

x-axis interval = ₋1 to 1

area between the curve and the x-axis is limits(-1 to 1) ∫3x⁶

limits(-1 to 1) 3∫x⁶

limits(-1 to 1) 3∫x⁷/7

3[2/7]

6/7 units²

Hence we get the answer as 6/7 units².

Learn more about "Definite Integrals" here-

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Lines a and bare perpendicular. If the slope of line a is - 2/3 is the slope of line b?

Answers

Answer:

B.   3/2

Step-by-step explanation:

The slopes of perpendicular lines are negative reciprocals

The negative reciprocals of -2/3

is 3/2

What is the hypotenuse of a triangle with legs that are both 4 inches?

Answers

Answer:

5.66

Step-by-step explanation:

PLS NEED HELP NO BITLYS

Answers

Answer:

m or minutes is the independent variable

h or height is the dependent variable

Step-by-step explanation:

independent variable is usually the x or the variable that you can create a number for, dependent variable is usually the y or the variable that you need to plug x in and solve for.

increase 53.20 by 7%

Answers

Answer:

56.924

Step-by-step explanation:

Step-by-step explanation:

Change the problem into something you recognize

7% = 7 x 10^-2 = 0.07

Multiply by this decimal

53.20 x 0.07 = a

Then add this to the original

53.20 + a

i have 25 coins,x of them ard R5 coins and the rest are R2 coins.What is an expression in terms of x for number of R2 coins?​

Answers

9514 1404 393

Answer:

  25 - x

Step-by-step explanation:

Subtracting the number of R5 coins from the total number of coins will give the number of R2 coins:

  25 - x . . . . . . number of R2 coins

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