if [tex]a-\frac{1}{a} =5[/tex] then what is[tex]a^{2}+\frac{1}{a^{2} }[/tex]

Answers

Answer 1
Answer:   27

Work Shown:

[tex]a - \frac{1}{a} = 5\\\\\left(a - \frac{1}{a}\right)^2 = 5^2\\\\\left(a\right)^2 - 2a*\frac{1}{a} + \left(\frac{1}{a}\right)^2 = 25\\\\a^2 - 2 + \frac{1}{a^2} = 25\\\\a^2 + \frac{1}{a^2} = 25+2\\\\a^2 + \frac{1}{a^2} = 27\\\\[/tex]

Note: On the third step, I used the rule that [tex](x-y)^2 = x^2-2xy+y^2[/tex]


Related Questions

If 6 pounds of grass seed cover 399 square feet, how many pounds are needed for 6384 square feet?

Answers

Answer:

im not 100% sure but i think its 24lbs of grass seed

Step-by-step explanation:

6 devided by 399 squared=0.0000376882

0.0000376882 x 6384=0.24060150375

0.24060150375 x 100=

24 lbs to cover a area of 6384 square feet

Kinsley is refinishing her wooden deck. She completed 10 square yards over the weekend,
and during the week she will refinish square yards per day.
Write an equation that shows how the total number of square yards refinished, y, depends on
the number of weekdays Kinsley works, X.

Answers

The linear equation that shows the total number of square yards refinished after x weekdays is given by:

y = 10 + 8x.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem:

10 square yards have already been completed over the weekend, hence the y-intercept is of b = 10.Researching the problem on the internet, it is found that for each day, 8 square yards are completed, hence the slope is of m = 8.

Thus, the equation is given by:

y = 10 + 8x.

More can be learned about linear equations at https://brainly.com/question/24808124

Mr. DeSiena wants to rent a car from Sierra Autos. Mr. DeSiena has drawn the graph of the line to help him figure out how much it will cost him to drive different distances. On the graph of the line, x represents the number of miles a car is driven, and y represents the charge for driving that many miles. If Mr. DeSiena has budgeted $150 to pay for his car rental, what is the maximum number of miles that he can afford to drive?

A.50 miles
B.75 miles
C.100 miles
D.200 miles

plssss i need the answer quick!!

Answers

the answer is c 100 miles

Answer:

WFF

Step-by-step explanation:

savoy..it's me Wolfie it's been so long, I really hope you remember me...

Please help! Hurry!!

Answers

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I see you already got other answers but I'm going to offer a more in depth explanation to help with similar questions in the future.

The equation you have here is in the form of y = mx + b

You may have seen this in one of your lessons, maybe refered to as slope, y-intercept form?

We have y = -6x + 640

If we break it down we can see how this is in y = mx + b form.

y is the ounces of water in a water cooler

x is the number of paper cups filled

-6 is our m

and 640 is our b

The question is asking about 640 (our b) so I will talk about that first.

This is the y-intercept, the point where, if we were to graph this (see attachment, green dot on the line), that the line would cross the y-axis. This is the point where x is zero.

In our case this would be the amount of water in the cooler when we have filled zero paper cups with water. Hence the answer being D.

Now I will explain the m value, -6 in this case.

This is the rate of change (or slope).

For this question it is how much water we take out (negative value) per paper cup. In other words, how much water goes into each paper cup, -6 ounces.

Take a look at the second attachment. You can see that I go 6 hops down and 1 hop right (yellow line). This is because we always view our m value as a fraction.

In this case, because we have -6, it appears to not be a fraction but a whole number. Always remember that any whole number is just a fraction over 1. We can rewrite our -6 as -6/1.

Slope is written as rise/run. This means that we rise (vertical, up & down) by our top (numerator) value (in this case go down 6, because the 6 is negative) and run (horizontal, left & right) by our bottom (denominator) value (in this case go right 1, because the 1 is positive).

***Remember: positive rise, go up; negative rise, go down. Positive run go up; negative run go down.

Hope this will help you in the future!

can you guys give me a serious answer please?

Answers

Answer:

800 bacteria

Step-by-step explanation:

Answer of this question depend upon number of hours at the end of day

Let Take Full Day of 24 hrs

Colby bacteria will doubled 12 times ( doubled once in 2hrs => 24/2 = 12)

Colby bacteria at end of day = 50 * 2¹²

Jaquan bacteria will doubled 8 times ( doubled once in 3hrs => 24/3 = 8)

Let say Jaquan bacteria at start  of Day = J

Jaquan bacteria at end of day = J * 2⁸

Equating Both

J * 2⁸ = 50 * 2¹²

=> J = 50 * 2⁴

=> J = 50 * 16

=> J = 800

Jaquan will start  with 800 Bacteria

Please help me out it'd be apprieciated

Answers

Answer:

d

Step-by-step explanation:

I got it right on the test

Use a ratio box to solve this problem. The ratio of red apples to green
apples in the basket was 5 to 2. If there were 70 apples in the basket,
how many of them were red?

Answers

The number of apples that are red is 50

Calculating ratio

From the question, we are to determine the number of apples that are red

From the given information,

The ratio of red apples to green apples is 5:2

∴ Sum of ratio = 5+2 = 7
and

Total number of apples in the basket = 70 apples

Then, the number of apples that are red is

[tex]\frac{5}{7} \times 70[/tex] apples

= 5 × 10

= 50 apples

Hence, the number of apples that are red is 50

Learn more on Caluculating ratios here: https://brainly.com/question/9477681

Point A is located at (-2, 4). After it is transformed, point A' is located at (2, 4). What could the transformation be?

A. reflection in the y-axis

B. A translation 4 units to the right

C. A rotation of 90° around the origin

D. A transiation 4 units up

Answers

A. reflection in the y-axis

can someone help me with 23-26?

Answers

Answer:

check the explaination :) hope this helped

Step-by-step explanation:

V of large cone =  1107 π m^3

V of small cone = 405 π m^3

Total V =   1512 π m^3

Help help help help help help

Answers

Answer:

173 degrees

Step-by-step explanation:

we know AED + AEB + BEC + CED = 360

AEB = 112

to find BEC, we have B + BCE + BEC = 180 because they form a triangle. so BEC = 180 - B - BCE = 180 - 73 - 79 = 28

to find CED, follow the same steps as BEC: 180 - 37 - 96 = 47

now AED = 360 - AEB - BEC - CED = 360 - 112 -  28 - 47 = 173

3n + 2 = 8 find answer for n

Answers

Answer:

[tex]\boxed{\sf{n=2}}[/tex]

Step-by-step explanation:

To solve for n, isolate it on one side of the equation.

3n+2=8

First, you have to subtract by 2 from both sides.

[tex]\Longrightarrow: \sf{3n+2-2=8-2}[/tex]

Solve.

Subtract the numbers from left to right.

[tex]\sf{8-2=6}[/tex]

Rewrite the problem.

⇒ 3n=6

Divide by 3 from both sides.

→ 3n/3=6/3

Solve.

Divide the numbers from left to right.

→ 6/3=2

[tex]\Longrightarrow: \boxed{\sf{n=2}}[/tex]

Therefore, the correct answer is n=2.

I hope this helps! Let me know if you have any questions.

Answer:

n = 2    or....    n is 2

Step-by-step explanation:

When simplifying to find n, we do something to one side, but it also must be done to the other side. First, to get n alone, we would subtract 2. When doing this, we do it for both sides:

3n + 2 = 8

   -2       -2

3n = 6

Now, we divide n by 3 becuase right now it says 3 times n. We again do the same for both sides:

3n = 6

/3    /3

n = 2

So the answer is n = 2

n is 2.

Then, answer Part B. A number cube that has sides numbered 1 through 6 is rolled 180 times. Part A How many times would you expect the result to be an even number greater than 2? Write the answer in the box. times Part B How many times would you expect the result to be a number less than 6? Write the answer in the box. times​

Answers

Using the binomial distribution, it is found that the expected values are given by:

a) 120.

b) 150.

What is the binomial probability distribution?

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

In this problem, for both items, we consider that the number cube is rolled 180 times, hence n = 180.

Item a:

4 of the 6 possible values are greater than 2, hence p = 4/6 = 2/3.

The expected value is given by:
E(X) = 180 x 2/3 = 120.

Item b:

5 of the 6 values are less than 6, hence p = 5/6.

The expected value is given by:
E(X) = 180 x 5/6 = 150.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

PLS HELP ME ILL GIVE YOU BRAINIEST!!

Answers

Answer: 60

Explain: (base times height) to find the Area then u multiply it by 5
Area =l*w*h
= 12 cm^2
The area * 5 = 60 cm ^2
Final answer 60 cm ^2

1. Mrs. Berger is making a circular tablecloth for her table. Her table has a radius of 3 feet. Which measurement is closest to the amount of fabric will Mrs. Berger needs to buy to create the tablecloth if it fits perfectly on the table? A. 28.27 ft2 B. 9.42 ft2 C. 18.85 ft2 D. 113.1 ft?​

Answers

Answer:

A. 28.27 ft^2

Step-by-step explanation:

You're looking for the area of the circle.
Area of circle = [tex]\pi r^{2}[/tex]
[tex]\pi (3)^{2}[/tex]
= 28.27 ft^2

Please help! Also real quick you can only put 3 digits!!

Answers

Answer:

Can you help me............. In my question

Find f(2) if f(x) = 3x3 - 12x2

ANSWER CHOICES IN PICTURE

please show how you got answer:)

i will give brainliest!

Answers

F(2) is same thing as saying x =2
So just plug in 2 for x and solve for x

3*(2)^3 - 12*(2)^2 =

3*8 - 12*4 =
24-48 =
-24

D

The remaining mass of radioactive iodine-131 is given by the formula M = Mo(2) 4/8 where M is the remaining mass in grams, Mo is the initial mass in grams, and t is the time in days. How many days does it take for the 726 grams to be reduced to half?

Answers

Answer:

the remNING MAS IS 345

Step-by-step explanation:

I DID THIS BEFORE

Can someone help me with this problem?

Answers

Answer:

9(3+5)

Step-by-step explanation:

GCF is 9, because thats the highest common number that both numbers can be divided by.

27/9 = 3

45/9 = 5

so,

9(3+5)

The points were scored on a math quiz 19 25 21 22 20 26 26 17 Find the Mode______ I got No Idea on this one So can i get some help with it please?

Answers

26

Step-by-step explanation:

Mode is a number or data in a set of data values with the highest frequency( the amount of times it appears)

Since 26 appears twice while others appear once, 26 is the mode

A car dealer pays $10,200 for a car. The Dealer has a goal of making
25% on the sale of the car. For how much should the dealer sell the
car?

Answers

$10,200 (1 + .25) = $12,750

Pls help! It's almost due soon!

Answers

Answer: Reflection across the y-axis

Step-by-step explanation:

A reflection over a y-axis means that the original point (x, y) becomes (-x, y)

The original point (-2, 1) should become (-(-2), 1) which becomes just (2, 1).

(2, 1) is the reflected point hence it is a reflection across the y-axis

How much paper is needed to cover the rectangular prism shown below?


A. 92 in2
B. 120 in2
C. 184 in2
D. 494 in2

Answers

Answer:

Its c!

Step-by-step explanation:

Answer:

Step-by-step explanation:

c

three friends Luke nick and serena are kicking a soccer ball to each other on the beach Luke kicks the ball to Serena who kicks the ball to nick, who kicks the ball back to Luke. the friends location on the beach are drawn on a coordinate plane as shown where the x values and y represent distance in feet.


WHAT IS THE APPROXIMATE DISTANCE THE BALL TRAVELS AFTER MAKING A FULL ROTATION AROUND THE TRIANGLE OF FRIENDS?

A. 288 feet
B.57.94 feet
C. 144 feet
D. 67.91 feet

Answers

Your answer is gonna be 2

The approximate distance the ball travels after making a full rotation around the triangle of friends is approximately 56.25 feet.

The closest option to this value is option B: 57.94 feet.

To find the approximate distance the ball travels after making a full rotation around the triangle of friends, we need to calculate the sum of the distances between each pair of friends.

Distance between Luke and Serena:

√[(4 - 4)² + (9 - (-14))²]

= √(0 + 23²)

= √529

= 23 feet

Distance between Serena and Nick:

√[(4 - (-8))² + ((-14) - (-2))²]

= √(12² + (-12)²)

= √(144 + 144)

= √288

= 16.97 feet (approx.)

Distance between Nick and Luke:

√[((-8) - 4)² + ((-2) - 9)²]

= √((-12)² + (-11)²)

= √(144 + 121)

= √265

= 16.28 feet (approx.)

Now, to get the approximate total distance traveled, we add the distances together:

Total distance ≈ 23 + 16.97 + 16.28

                        = 56.25 feet

The approximate distance the ball travels after making a full rotation around the triangle of friends is approximately 56.25 feet.

The closest option to this value is option B: 57.94 feet.

To learn more about the distance between two points;

https://brainly.com/question/24485622

#SPJ3

How do you factor (2x^2+2)

Answers

Answer:

You factor that equation by seeing if you can take out anything. Example.

20 is the same as 2 times 2 times 5. Visualized, it is 2(10) or 4(5).

For this, you can take out the "2"

So it would be

2(x^2+1)

x^2+1 can't be factored so that is the final answer


If the area of the green triangle is 10.5 cm?, what is the area of the parallelogram?

Will mark brainlyest!!

Answers

Answer:

The answer is 21

Step-by-step explanation:

The parallelogram is divided into two congruent traigle so the area of green traigle is equal to area of blue traigle the sum of area of both these traigle is the area of parallelogram

So

2*10.5=21

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT

PLEASE

what does x equal to?

5(x - 4) + 12 = 17

Answers

Answer:

x is 5

Step-by-step explanation:

First of all, expand the bracketsThis gives [tex]5x-20+12=17[/tex]Add 20 to both sides[tex]5x+12=37[/tex]Subtract 12 from both sides[tex]5x=25[/tex]Divide both sides by 5[tex]x=5[/tex]

Answer:

x = 5

Step-by-step explanation:

In the question we're given with an equation that is 5(x - 4) + 12 = 17 and we are asked to find the value of x .

Solution : -

[tex] \longmapsto \: 5(x - 4) + 12 = 17[/tex]

Step 1 : Solving parenthesis :

[tex] \longmapsto \:5x - 20 + 12 = 17[/tex]

Step 2 : Adding 20 on both sides :

[tex] \longmapsto \:5x - \cancel{20 }+ 12 + \cancel{20 }= 17 + 20[/tex]

[tex] \longmapsto \:5x + 12 = 37[/tex]

Step 3 : Subtracting 12 from both sides :

[tex] \ \longmapsto \: \:5x + \cancel{ 12} - \cancel{12} = 37 - 12[/tex]

[tex] \longmapsto \:5x = 25[/tex]

Step 3 : Dividing by 5 on both sides :

[tex] \longmapsto \: \frac{ \cancel{5}x}{ \cancel{5} } = \cancel\frac{25}{5} [/tex]

[tex] \longmapsto \: \red{ \boxed{\bold{x = 5}}}[/tex]

Therefore , value of x is 5

Verifying :

We are verifying our answer by substituting value of x in Given Equation :

5(x - 4) + 12 = 17

5 ( 5 - 4 ) + 12 = 17

5 ( 1 ) + 12 = 17

5 + 12 = 17

17 = 17

L.H.S = R.HS.

Hence, Verified.

Therefore , our value for x is correct .

#Keep Learning

can someone help me with this asap (algerbra)

Answers

PEMDAS

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operations, and stands for:

Parenthesis, Exponents (& Roots), Multiplication, Division, Addition, Subtraction.

First, divide 3 from both sides of the equation:

[tex]\frac{(3x^2)}{3} = \frac{(48)}{3}[/tex]

[tex]x^{2} = \frac{48}{3}\\ \\x^2 = 16[/tex]

Next, isolate the variable, x, by rooting both sides of the equation:

[tex]\sqrt{x^{2} } = \sqrt{16}\\ x = \sqrt{16} = \sqrt{4 * 4}[/tex]

x = ±4

C) ±4 is your answer.

~

What is the name of the relationship between 1 and 4?​

Answers

Answer:

ALTERNATE INTERIOR ANGLES is the answer

Answer: the answer is the last one . Alternate interor angles

Find the values of both x and y

Answers

Answer:

Step-by-step explanation:

c

Choosing a Formula
Which formula can be used to find the volume of the
cylinder? Check all that apply.
DA=(d)(h)
O V=B(h)
Ov=(lwXh)
D V=2(r)(h)
D1-Cr0Xh)

Answers

Answer:D V=2(r)(h)

Step-by-step explanation:

because al the other answers are incorrect

Other Questions
Someone please help ASAP!!! I need both of these done before 12:00!!! Giving brainliest to best answer!!! you can do it!! This is what the questions/answers say for #16-19 or last picture if you can't read it, please answer all questions16. The number of hours of sunlight in a particular location S(t) can be modeled by the function S of t equals 12 plus 2 times the sine of the quantity 2 times pi over 365 times t end quantity comma where t is the number of days after January 1st. (That is, t = 0 means January 1st.) After how many days will there be 12 hours of sunlight for the first time during the year? 365 over 4 days 365 over 2 days 1095 over 4 days 1095 over 2 days 17. A student was asked to prove the trigonometric identity tangent of one half times x plus cotangent of one half times x equals 2 times cosecant x period Which of the following could be the first step in proving the identity?the quantity 1 minus cosine x end quantity over sine x plus sin x over the quantity 1 minus cosine x end quantity equals 2 times cosecant xsine x over the quantity 1 plus cosine x end quantity plus the quantity 1 plus cosine x end quantity over sine x equals 2 times cosecant xthe quantity 1 minus cosine x end quantity over sine x plus the quantity 1 minus cosine x end quantity over sine x equals 2 times cosecant x I only II only I and II only I, II, and III18. Based on the graph of the trigonometric functions f () = 4sin + 1 and g () = cos 2, at what value(s) on the interval [0, 2) does f () = g ()?0, pi over 2 comma 5 times pi over 2 5 times pi over 4 comma 7 times pi over 4 pi over 4 comma 3 times pi over 4 comma 5 times pi over 4 comma 7 times pi over 419. Which of the following shows a graph of a tangent function in the form y = atan(bx c) + d, such that b = 2? The length is 2 units,the width is 5 units,and the height is 7 units Describe how a desert biome differs from a rain forest biome:How does the temperature differ?How does the precipitation differ?How are the plants different?How is the soil different? L55:216Which line from Utopia is an example of an analogy?They supply or are supplied from one another, so that indeed the whole island is, as it were, one family.O They eat and drink out of vessels of earth or glass, which make an agreeable appearance, though formed of brittlematerials ...They polish them, and with them they adorn their children, who are delighted with them...O They wonder much to hear that gold, which in itself is so useless a thing, should be everywhere so muchesteemed ...Mark this and retumSave and ExitNextSubmnlt A certain drug reduces the activity of the central what is the digit 9 in this number 195,487 Find the one plural or possessive error.Over the past century, womens roles in American society have expanded dramatically.While it was once uncommon for woman to be employed, now woman make up nearly half of the U.S. labor force. Agan Interior Design provides home and office decorating assistance to its customers. In normal operation, an average of 2.2 customers arrive each hour. One design consultant is available to answer customer questions and make product recommendations. The consultant averages 12 minutes with each customer. (a) Compute the operating characteristics of the customer waiting line, assuming Poisson arrivals and exponential service times. (Round your answers to four decimal places. Report time in hours.) 21 = r -5=HOW DO WE SLOVE THIS Which is a good reason for combining sentences?A. to slow your reader down at the beginning of a paperB. to show how two complete thoughts are relatedC. to make your sentences longer overallD. to break up two run-on sentences Thinking about the operations in these games which gam is likely to be one of the oldest games in the world HELP ME OUT PLS!!!!!!!!!!!!!!!13. The diagram at right shows one position of the earth as it makes its way around the sun. Which locations are experiencing winter?A) B) C) D) E) 14. At which location would a person experience the longest number of daylight hours?A) B) C) D) E) Which animal is the centerpiece of londons natural history museum?. A store is having a Black Friday sale where all electronics are 20% off. Jessica also has a one-time use coupon for 15% off. If Jessica received both discounts and paid $108.80 for a pair of headphones, what was the original price of the headphones?WILL GIVE BRAINLIEST Please answer both questions right answers get brainlest! I really need to know the answer it will help The fraction strip shown below is shaded to represent dam fraction which fraction strip is shaded to represent a fraction equal to the fraction strip shown above The slope of a vertical line is what 10 ft12 ft15 ftsurface area:volume :