Expand and simplify the following
√3 (√3 - 1)
√5 (√10 + √2)​

Answers

Answer 1

Answer:

3 - [tex]\sqrt{3}[/tex]

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

Step-by-step explanation:

[tex]\sqrt{3}[/tex] ([tex]\sqrt{3}[/tex] - 1) → 3 - [tex]\sqrt{3}[/tex]

[tex]\sqrt{5}[/tex] ([tex]\sqrt{10}[/tex] + [tex]\sqrt{2}[/tex] ) → [tex]\sqrt{50}[/tex] + [tex]\sqrt{10}[/tex] → 2[tex]\sqrt{25}[/tex] + [tex]\sqrt{2}[/tex][tex]\sqrt{5}[/tex] → 2(5)+ [tex]\sqrt{10}[/tex] → 10+[tex]\sqrt{10}[/tex]


Related Questions

(x-3)(2x+1) Can someone help me on this please

Answers

2x^2-5x-3

This is the answer I believe, I apologize if it’s incorrect

please help i seriously don’t know this at all lol

Answers

Answer:

156m^2

Step-by-step explanation:

label the shapes A and B) triangle=shape b and rectangle=shape a

shape a)10x12=120m^2

shape b)(12x6)/2=36m^2

add the values of shape a and b together to get the area of the shape)120+36=156m^2

what is 1/2 + 1/12? Please and thank you

Answers

Answer:

7/12

Step-by-step explanation:

1/2 + 1/12?

To add fractions, find the LCD and then combine.

Exact Form:

7 /12

Decimal Form:

0.583

Answer:

18/12 or 3/2

Hope this helps!

After Don ate 1/8 of the pie and Ron ate 1/7 of the remainder of the pie, the other five friends divided the rest of the pie equally among themselves what percent of the original pie did each friend eat?

Answers

x = the whole pie.

well, Don ate (1/8)x, how much was it left?  [tex]x -\cfrac{1}{8}x\implies \cfrac{x}{1} -\cfrac{x}{8}\implies \cfrac{8x-x}{8}\implies \cfrac{7x}{8}[/tex]

well, so that's the remainder.

Then Ron ate 1/7 of the remainder [tex]\cfrac{7x}{8}\div 7\implies \cfrac{7x}{8}\div \cfrac{7}{1}\implies \cfrac{7x}{8}\cdot \cfrac{1}{7}\implies \cfrac{x}{8}[/tex]

well, how much is it left?  [tex]\stackrel{\textit{Don leftover}}{\cfrac{7x}{8}}-\stackrel{\textit{Ron's bite}}{\cfrac{x}{8}}\implies \cfrac{6x}{8}\implies \cfrac{3x}{4}[/tex]

well, there are 5 friends how much did each one get from the whole pie?

[tex]\cfrac{3x}{4}\div 5\implies \cfrac{3x}{4}\div \cfrac{5}{1}\implies \cfrac{3x}{4}\cdot \cfrac{1}{5}\implies \implies \cfrac{3x}{20}\implies \stackrel{\textit{each friend}}{\boxed{\cfrac{3}{20}x}}[/tex]

Jessica's health insurance premium is $3964 annually. If her employer pays 85% and she is paid monthly, how much is deducted from each monthly check? O $22.88 O $49.55 O $330.33 O $594.60​

Answers

Answer:

594.60

Step-by-step explanation:

basically you turn the percent into a decimal, so 0.85 times 3954. then you subtract 3964.00 and 3369.40 to get the answer <3

Kim Barney pays a $290.00 annual premium for an insurance plan with a $500 deductible. The company pays 80% of the remaining expense. If Kim had $2,500.00 in medical expenses, calculate the following.

Answers

The amount that Kim Barney spends is $342 for medical expenses.

What is buying cost?

Buying cost is the cost at which someone buys or is willing to buy shares, bonds.( including the tax)

here, we have,

Given that,

Kim Barney pays a $290.00 yearly premium for a $500.00 deductible insurance plan. 80 percent of the remaining cost is covered by the business. If Kim has medical costs of $2,500.00

To find : The amount that Kim barney spends for the medical expenses.

If the business covers 80% of the remaining balance ($1710), they will be responsible for paying $1368 of it.

10% of 1710 is 171

171x8=1368

The insurance provider covers the $1368.

Kim Barney spends $342.

Consequently, Kim Barney spends the following amount on medical costs $342.

To learn more about the cost click here:

brainly.com/question/30045916

#SPJ2

A groundhog starts out in its burrow 6.2 feet below the surface of the ground. It digs straight up at a rate of 0.8 feet per
How long does it take for the groundhog to reach a depth of
-2.6 feet?

Answers

Answer:

4.5

Step-by-step explanation:

I took the test and got it right

Tt takes 20.15 minutes for the groundhog to reach a depth of -2.6 feet.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, a groundhog starts out in its burrow 6.2 feet below the surface of the ground.

It digs straight up at a rate of 0.8 feet per minute.

Here, rate =6.2/0.8

= 7.75 feet per minute

Now, the time is 2.6×7.75

= 20.15 minutes

Therefore, it takes 20.15 minutes for the groundhog to reach a depth of

-2.6 feet.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ2

"Your question is incomplete, probably the complete question/missing part is:"

A groundhog starts out in its burrow 6.2 feet below the surface of the ground. It digs straight up at a rate of 0.8 feet per minute. How long does it take for the groundhog to reach a depth of −2.6 feet?

Please help me, thanks

Answers

Answer:

I dont know

Step-by-step explanation:

Can you type in the question please and ty

list all the prime numbers between 90 and 100

Answers

Im pretty sure the only prime number in between 90 and 100 is 97

Only 97 bc that is the only prime number

A square hole 7.50 cm along each side is cut in a sheet of copper. (a) Calculate the change in the area of this hole resulting when the temperature of the sheet is increased by 49.0 K. cm2(b) Does this change represent an increase or a decrease in the area enclosed by the hole

Answers

Answer:

it increases the the hole

Step-by-step explanation:

please help..........

THANKS!

Answers

The answer would be 5/4

ABCD is a parallelogram.the length of AB is 15 what is the the length of CD

Answers

rhombus opposite sides are equal.

So, CD = 15

the length of a rectangle in (3+√7) and it's with is (1+2√7). what is the area of the rectangle? what is the perimeter of the rectangle​

Answers

Answer:

Area: (3+√7) x (1+2√7) = 17+7√7 = 35.52

Perimeter: 2(3+√7) + 2(1+2√7) = 8+6√7 = 23.87

Twice a number plus eight times a second number is 19. Five times the first number plus seven times the
second is 15. Find the numbers.
Write two linear equations to represent a system to solve this, where X represents the smaller number and
y represents the larger number. Write the equations, but do not solve them.

Answers

Answer:

Step-by-step explanation:

2x + 8y = 19

5x + 7y = 15

WILL GIVE 100PTS

Find the slope of a line that passes through (-2, -3) and (1, 1).

A. 1 /3
B. 1
C. 2
D. 4/3​

Answers

Answer:

D

Step-by-step explanation:

Y2-Y1/x2-x-1

Answer:

D

Step-by-step explanation:

Formula for slope is (y2-y1)/(x2-x1).

(1-(-3))/(1-(-2)) = 4/3

Write the first five terms for the following recursive rule.

f(1)=7
f(n)=f(n-1)+12

Answers

Answer:

PLEASE MARK ME AS BRANLIEST!!!!!

Step-by-step explanation:

a1 = first term; an= an-1 + d a1 = the first term in the sequence an = the nth term in the sequence an-1 = the term before the nth term n = the term number d = the common difference.

{10, 15, 20, 25, 30, 35, } first term = 10, common difference = 5 recursive formula: a1= 10; an= an-1 + 5

f(n) = f(n-1) + 12

f(1) = 7

f(2) = (7-1) + 12 = 18

f(3) = (18-1) + 12 = 29

f(4) = (29-1) + 12 = 40

f(5) = (40-1) + 12 = 51

7, 18, 29, 40, 51

9. A cheetah is located 100 yards away from an antelope. The cheetah begins running on a straight path toward the antelope at a constant speed of 30 yards per second. At the same time, the antelope begins running away from the cheetah at a constant speed of 25 yards per second. If both animals continue to run on a straight path at the same speeds, how long will it take for the cheetah to catch up to the antelope?​

Answers

It takes 20 seconds for the cheetah to catch up to the antelope

Speed is the ratio of distance to time taken. It is given by:

Speed = distance / time

Let d represent the distance covered by the cheetah at time t, hence:

30 = d / t

t = d / 30

The antelope is 100 yards away, hence:

25 = (d - 100) / t

t = (d - 100)/25

d/30 = (d - 100)/25

25d = 30d - 3000

d = 600 yards

t = d/30 = 600/30 = 20 seconds

It takes 20 seconds for the cheetah to catch up to the antelope

Find out more at: https://brainly.com/question/22610586

Select the correct answer.
(-1,1)
(0,-1)
(5,-11)
(10,-21)

What is the domain of the set of ordered pairs above?
A.
{-1, 1}
B.
{-1, 0, 5, 10}
C.
{-1, 10}
D.
{1, -1, -11, -21}

Answers

The correct answer is B.

This table represents the number of pounds, p, a puppy grows after w, weeks.


When graphed, all of the points in the table lie on the same line.


What is the slope and y-intercept of the line?



slope=−94, y-intercept=−0.8


slope=−49, y-intercept = 2


slope=49, y-intercept=−0.8


slope=94, y-intercept = 2

Weeks, w Weight in pounds, p

0 2

2 6.5

4 11

6 15.5 help plz

Answers

Answer:

the answer is slope=94, y-intercept = 2

Step-by-step explanation:

i took the test

Learning Task 2: Solve each proportion
1) 5/12 = 35/ n
2) n/ 52 = 180/ 120
3) 18/n = 21/28
4) n/4 = 24/6
5) 10/16 = n/56

Answers

1. [tex] \frac{5}{12} = \frac{35}{n} \\ 5n = 35 \times 12 \\ 5n = 420 \\ n = \frac{420}{5} \\ n = 84[/tex]

2. [tex] \frac{n}{52} = \frac{180}{120} \\ 120n = 180 \times 52 \\ 120n = 9360 \\ n = \frac{9360}{120} \\ n = 78[/tex]

Find each function value.

f(6) if f(x) = 4x?

f(8) if f(x) = x + 11


Answers

hello,

just plug in the values to the equation:

f(6) = 4(6) = 24
f(8) = 8+11 = 19

hope this helped :)
here is the ans hope it help

show work plz!!!!!!!!!!!!!

Answers

Here, we have been asked to find the order of rotational symmetry of a symmetry of a regular pentagon. First let us learn about rotational symmetry and some basic terms related to it.

1. Rotational Symmetry: -

It is the property a shape has when it looks the same after some rotation by a partial turn. For example: - an equilateral triangle will look the same after a partial rotation of 120∘

2. Centre of rotation: -

The fixed point around which the rotation occurs is called the centre of rotation. For example: - the centre of rotation of a fan is the centre of the fan from which its blade originates.

3. Angle of Rotational Symmetry: -

The angle of rotational symmetry is the smallest angle for which the figure can be rotated to coincide with itself. For example: - the angle of rotation of an equilateral triangle is 120∘

4. Order of Rotational Symmetry: -

The order of rotational symmetry of a shape is the number of times it can be rotated around a full circle and still look the same. For example: - an equilateral triangle can be rotated 3 times around a full circle, each time at the angle of 120∘

, so its order of rotation will be 3.

In general, a regular polygon having n – sides have ‘n’ lines of symmetry and their order of rotational symmetry is ‘n’.

Now, let us come to the question. We have to find the order of rotational symmetry of a regular pentagon.

We know that a regular pentagon has 5 sides.

Hence, it will have 5 lines of symmetry and its order of rotational symmetry will be 5.

Someone who is unable to use a credit card after repeated failures to pay has
had their credit
A. garnished
B. defaulted
C. repossessed
D. suspended
SUBMIT

Answers

D. suspended

explanation:

Someone who is unable to use a credit card after repeated failures to pay has had their credit suspended.

Option D is the correct answer.

What is a suspended credit card?

Credit card suspension is a temporary measure, and the credit card can usually be reinstated once the account is brought up up-to-date.

We have,

When a person repeatedly fails to make payments on their credit card, their credit card company may suspend their credit card.

This means that the person will not be able to use the credit card until they bring their account up-to-date and pay any outstanding balance or fees.

However, repeated failures to pay can have a negative impact on a person's credit score, which is a measure of their creditworthiness.

If the account remains delinquent, it may eventually lead to default, which is when the lender takes legal action to recover the unpaid debt.

Thus,

Someone who is unable to use a credit card after repeated failures to pay has had their credit suspended.

Learn more about suspended credit card here:

https://brainly.com/question/30940802

#SPJ7

2/5+1/2=====================

Answers

Answer:

9/10

Step-by-step explanation:

To add fractions, find the LCD and then combine.

Exact Form:

9/10

Decimal Form:

0.9

Don’t totally understand it

Answers

Answer:

A.1 B.2 E.5 F.6

Step-by-step explanation:

Hope it helps brainliest awnser pls

is this linear or not?

Answers

Answer:

Linear

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

You have the system with two quadratic equations.

Both equations are of degree two.

This is therefore not linear.

A rectangular board is 1100 millimeters long and 800 millimeters wide. What is the area of the board in square meters? Do not round

Answers

Answer:

880 square meters

Step-by-step explanation:

You need to find the area of the rectangular board, which would be 1100x800=880000 square millimeters. 1 meter=1000 millimeters, so you divide 880000 by 1000, getting 880 square meters.

The area of the board is 880 square meters.

Area of rectangle

You need to find the area of the rectangular board, which would be 1100x800=880000 square millimeters.

1 meter=1000 millimeters, so you divide 880000 by 1000, getting 880 square meters.

Learn more about area of rectangle here https://brainly.com/question/25292087

#SPJ2

Calcular la masa que tiene un cuerpo que se le aplica una fuerza que empuja al lado derecho de 230 N y otra fuerza que empuja al lado izquierdo de - 150N. Considerar que la aceleración que adquiere es de 2 m/s2.​

Answers

Answer:

Calculate the mass of a body that is applied with a force that pushes the right side of 230 N and another force that pushes the left side of - 150N. Consider that the acceleration it acquires is 2 m / s2.

Step-by-step explanation:

230 e dos

Mr. Morton sold
bird houses to stores he started the week with 60 he sold 10 to one store and divided the rest between five other stores how many bird houses he’s so to each of the other five stores

Answers

Answer:

10

Step-by-step explanation:

b) Are there any overall patterns in the data set? Striking deviations? Use
mathematical reasoning to justify your answer. (2 points)

Answers

Answer:

There is an outlier at 0, and a gap at 1,2, and 3. The peak is at 5, and the plot is more or less skewed left.

Step-by-step explanation:

Other Questions
One healthy way to deal with stress isA. Lots of time aloneB . Lots of blameC. Lots of sleepD. Lots of exercise Shanti wrote the predicted values for a data set using the line of best fit y = 2. 55x " 3. 15. She computed two of the residual values. A 4-column table with 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled given with entries negative 0. 7, 2. 3, 4. 1, 7. 2. The third column is labeled predicted with entries negative 0. 6, 1. 95, 4. 5, 7. 2. The fourth column is labeled residual with entries negative 1, 0. 35, a, b. What are the values of a and b?. How do I check my answer?!?? 6.78J-5.2=4.33J+2.15. J=3Please answer ! Location D is which place?Part of world map showing Southwest Asia and Northeast Africa with labels B, A, D, and CEgyptCanaanMediterranean Sea 100 pointsSyrian Desert A jar contains 6 red marbles numbered 1 to 6 and 10 blue marbles numbered 1 to 10. A marble is drawn at random from the jar. Find the probability of the given event. write the equation of the line in fully simplified slope-intercept form Write a function predict_wait that takes a duration and returns the predicted wait time using the appropriate regression line, depending on whether the duration is below 3 or greater than (or equal to) 3. Which word in the passage helps the reader determine the meaning of the word miscarriage? What is the best definition of the word miscarriage as it is used in this passage?. I GIVE BRAINLIST which graph represents the solution set of the system of inequalities y>_1/3x-3 y In the example of the predator/prey web in the grassland community on Bylot Island, a rise in the snowy owl population would have what effect on the snow goose If you have an aqueous solution that is 13.5 % Na3PO4 by mass, what is the molality of Na3PO4 in the solution? How do I do this pls help helpppppppppppppppppppppppppppp The main idea, or theme, of a piece of writing is usually mentioned __________.A) in the middleB) in the first paragraphC) at the end These are already solved but can someone explain how we got them, steps please! I really need it.. Think up and write down a small number of queries for a web search engine.Make sure that the queries vary in length (i.e., they are not all one word). Tryto specify exactly what information you are looking for in some of the queries.Run these queries on two commercial web search engines and compare the top10 results for each query by doing relevance judgments. Write a report that answers at least the following questions: What is the precision of the results? Whatis the overlap between the results for the two search engines? Is one search engineclearly better than the other? If so, by how much? How do short queries performcompared to long queries? I need help with question 5 Which of the following is in Romantic Era? *Wilhelm Richard WagnerClaude DebussyArnold SchoenbergJoseph-Maurice Ravel (4 x 100,000) + (6 x 10.000) = What is the slope of the line?7x + 2y=5 A. 7/2B. -7/2C. -2/7D. 2/7