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

A car is travelling at a constant speed until the car’s brakes are applied. The car’s speed changes at a rate given by -0.08t ms^{-2} after the brakes are applied, where t s is the time since the brakes were applied. 3 seconds after the brakes are applied, the speed of the car is 5 ms^{-1} . How far will the car travel with the brakes applied before it stops?

Answers

The car will travel a distance of 52.08 seconds will the brakes applied before it stops

The acceleration of the car after t seconds that the brake was applied is given as:

[tex]a=-0.08t m/s^2[/tex]

The speed of the car after  3 seconds that the brake was applied, u = 5 m/s

The speed of the car when it eventually stops, v = 0m/s

3 seconds after the brake was applied:

The time, t = 3 seconds

substitute t = 3 into the acceleration  [tex]a=-0.08t m/s^2[/tex]

[tex]a=-0.08(3)m/s^2\\\\a = -0.24m/s^2[/tex]

To calculate the distance traveled by the car after the brakes are applied, use the equation below

[tex]v^2=u^2+2as[/tex]

Substitute u = 5, a = -0.24, and v = 0 into the equation above in order to calculate the distance

[tex]0^2=5^2+2(-0.24)s\\\\0=25-0.48s\\\\0.48s = 25\\\\s = \frac{25}{0.48}\\\\s = 52.08 m[/tex]

The car will travel a distance of 52.08 seconds will the brakes applied before it stops

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fill in the missing value in each equation:
a)0.25+_____=0
b)-5×_____=-5
c)_____×-6=0

Answers

Answer:

a) -0.25

b) 1

c)0

Step-by-step explanation:

a) 0.25 + (-0.25)=0

b) -5*1=-5

c) 0*(-6)=0

Hurry help plz
Solve for an angle in right triangles

Answers

[tex]\cos \angle B = \dfrac{2}{7}\\\\\implies \angle B = \cos^{-1} \left( \dfrac{2}{7} \right) = 1.28^{\circ}[/tex]

Consider the expression 8ab + 3b + 16 - 4a. (a) How many terms are there? (b) How many factors are in the first term? Identify them. (c) Which term is a constant? pls do this fast

Answers

a. There are 4 terms in the expression

b. There are 3 factors in the first term.

c. The constant is 16.

8ab + 3b + 16 - 4a

A term is any signed number, a variable, or a constant  multiplied by a

variable or variables.

Therefore, the terms are 8ab,  3b,  16, and -4a. The terms are 4 in numbers.

The first term is 8ab .The first term has the factors 8 , a and b. This means the first term have 3 factors.

The term that is a constant is 16

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Find Surface Area Of This Triangular Prism

Answers

Answer:

325 cm²

Step-by-step explanation:

find area of each side even those that are not shown. then add the areas

Set Question involving real and natural numbers

Answers

Only two real numbers satisfy x² = 23, so A is the set {-√23, √23}. B is the set of all non-negative real numbers. Then you can write the intersection in various ways, like

(i) A ∩ B = {√23} = {x ∈ R | x = √23} = {x ∈ R | x² = 23 and x > 0}

√23 is positive and so is already contained in B, so the union with A adds -√23 to the set B. Then

(ii) A U B = {-√23} U B = {x ∈ R | (x² = 23 and x < 0) or x ≥ 0}

A - B is the complement of B in A; that is, all elements of A not belonging to B. This means we remove √23 from A, so that

(iii) A - B = {-√23} = {x ∈ R | x² = 23 and x < 0}

I'm not entirely sure what you mean by "for µ = R" - possibly µ is used to mean "universal set"? If so, then

(iv.a) Aᶜ = {x ∈ R | x² ≠ 23} and Bᶜ = {x ∈ R | x < 0}.

N is a subset of B, so

(iv.b) N - B = N = {1, 2, 3, ...}

WHICH OF THE FOLLOWING IS NONLINEAR FUNCTION?

Answers

Answer:

Option A.

Step-by-step explanation:

Try To Cross Check It 1st

Find the values of p and q so that (-2,5) is the midpoint of the segments joining points (p,p+q) and (p+4, 3q+6)

Answers

Answer:

Step-by-step explanation:

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) and ( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

midpoint is ( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )

~~~~~~~~~~~~~

( p , p + q )

( p + 4 , 3q + 6 )

( p + p + 4 ) ÷ 2 = - 2

p = - 4

( - 4 + q + 3q + 6 ) ÷ 2 = 5

2q = 4

q = 2

Solve ^3/x^2-8=2 pls help

Answers

Answer:

its the first one

Step-by-step explanation:

1. Which sequence of transformations takes A to its image,B ?
A. reflection over the x-axis and translation 2 units down
B. reflection over the y-axis and translation 2 units down
C. translation 2 units down and 90° rotation about the origin
D. translation 12 units right and 90° rotation about the origin

Answers

Answer:

Second is the correct answer but i think all are correct

Suppose that the universal set U is the set of all even integers from 1 to 16 inclusively and A={2,4,8,16}. Find Ac by using a Venn diagram.

Answers

Answer:

Correct answer is {6,10,12,14}

Step-by-step explanation:

Can someone please me help

Answers

Answer:

Step-by-step explanation:

the answer is 1.1324

How do you multiply 47.5 by 28

Answers

Answer: uhhhh

Step-by-step explanation:

Answer:

Step-by-step explanation:

1330 is the answer

geometry help on 34 please

Answers

Answer:

x=112, y=28, z=22

Step-by-step explanation:

68°+4y°=180° (adj angles on a str line)

4y=180-68

=112

y=112÷4

=28

x°+68°=180° (int angles)

x=180-68

=112

(5z+2)°=x° (corr angles)

5z+2=x

5z+2=112

5z=112-2

=110

z=110÷5

=22

answer????plssssssss i will give money​

Answers

Answer:

62.3538290725

Step-by-step explanation:

Sorry That All I Could Get For You

Answer:

gimme money

Step-by-step explanation:

A restaurant has an electronic system that randomly selects customers when they pay for their meal to receive a coupon for their next visit. Each customer has a 10\%10%10, percent probability of being selected to receive a coupon, and one customer being selected or not doesn't affect whether or not another customer will be selected.
Suppose that 222 customers pay for their meals, one after the other.
What is the probability that NEITHER customer is selected to receive a coupon?
Round your answer to two decimal places.

Answers

Answer:

Step-by-step explanation:

Using the binomial distribution, it is found that there is a 0.81 = 81% probability that NEITHER customer is selected to receive a coupon.

For each customer, there are only two possible outcomes, either they receive the coupon, or they do not. The probability of a customer receiving the coupon is independent of any other customer, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

0.81 = 81% probability that NEITHER customer is selected to receive a coupon.

Find x: 8^2^x=4

pls help!

Answers

Answer:

x = 1/3

Step-by-step explanation:

assuming this is saying (8^2)^x = 4

2^6x = 4

2^6x = 2^2

6x = 2

x = 1/3

Answer: yes X= 1/3.

Pls help. The question is on the picture

Answers

Answer:

23518

Step-by-step explanation:

1) the total volume can be calculated as the sum of two volumes (for more info see the picture): V=V₁+V₂, where V₁ belongs to the prisma and V₂ - to the cylinder;

2) V₁=a*b*h; V₁=20*20*37=14800 (m³);

V₂=3/4*(π*r²*h); V₂=3/4*3.1415*100*37≈8717,6625 (m³), note the full volume of the cylinder cannot be included into the result, but 3/4 of its volume;

3) finally, V=14800+8717.6625=23517,6625≈23518 (m³).

Answer:

V = 23518 m3

Step-by-step explanation:

The volume of the cube part of building

(20)(20)(37)=14800 cm3

Each cylinder:

h=37/12=3.083 m

r=10 m

[tex]v=\pi (10)^{2} (3.083)=968.66m^{3}[/tex]

all the cylinders:

[tex]v=(12)(968.66)=11,623.89cm^{3}[/tex]

Total volume.

[tex]V=14800+\frac{3}{4} (11,623.89)[/tex]

[tex]V=14800+8717.92=23,517.92[/tex]

nearest m3:

[tex]V=23518m^{3}[/tex]

I hope this help you

Lin father is paying for a 20 meal he has a 15 off coupon for the meal what is the total after the discount

Answers

Answer:

3

Step-by-step explanation:

20÷100=0.2

0.2×15=3

:)

Answer:

Lin's father would pay $17 for his meal.

Step-by-step explanation:

15*20 = 300

300/100 = 3

20 - 3 = 17

I will mark brainlist
Determine whether points A, B, and C can be vertices of a triangle. If so, classify the triangle as acute, right, or obtuse.

A (3,1); B (5,6); C (4,2)



Acute



Right



Obtuse



None of these

Answers

Answer:

A Obtuse, B Acute, C Right        I think its right

Step-by-step explanation:

Right (don’t mind this lol)

3. Consider the system { 9x – 12y = b
3x – 4y = 10
For what value of b will the system have infinitely many solutions?

Answers

Answer:

B=30

Step-by-step explanation:

Like and give 5 star rating

Answer:

b = 30

Step-by-step explanation:

all terms in the first equation will be three times the related terms in the second equation.

Then the two equation describe the same infinite line and any x,y pair that fits on one line will also fit on the other.

Consider function f.

Which graph represents function f?

A. W
B. X
C. Y
D. Z

Answers

Answer:

W

Step-by-step explanation:

I got a 100% on my test

Each element of X receives exactly one element of Y when a function from one set to the other is used. W graph illustrates the function f.

Explain about the function?

An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable (the dependent variable).

An example of a rule is a function, which yields one output from a single input. The picture was obtained from Alex Federspiel. The equation y=x2 serves as an example of this. There is only one output for y for every input for x. We would say that y is a function of x since x is the input value.

A function is a relationship between a collection of inputs and a set of potential outputs, where each input is connected to exactly one output, in accordance with a technical description.

To learn more about  function refer to:

https://brainly.com/question/25638609

#SPJ2

4. Dexter has 36 pets. He has 3 times as
many fish as mice and half as many
cats as mice. How many of each pet
does Dexter have?

Answers

Answer:

the answer is 162 I used a calculator this app is so cool


Dwayne read 3/8 of a chapter of his history book in 1/5 of an hour. At this rate, how many chapters of his history book can he read in 1 hour?

Answers

Answer:

1 7/8 (1, 2)

Step-by-step explanation:

60/5=12 so dwayne reads 3/8 chapter per 12 minutes

12/3=4 so dwayne reads 1/8 chapter per 4 minutes

4x8=32 dwayne reads a chapter per 32 minutes.

2x32=64 and got 4 minute extra which is the time for dwayne to read 1/8 chapter

So Dwayne can read 1 7/8 chapter in 1 hour, if rounding off then 2 chapters, if only an entire chapter counts then 1

product of x and 4 is decreased by one-quarter

Answers

Answer:

x

Step-by-step explanation:

x times 4 = 4x

4x in 4 quarters: x x x x

One quarter^^ = x

Write 5 • 5 • 5 • 5 • 5 • 5 • 5 using an exponent.

Answers

Answer:

5^6

Step-by-step explanation:

5 was multiplied repeatedly 6 times, so it's 5 to the power of 6

Answer:

5 to the power of 6 or 5^6

Step-by-step explanation:

Suppose that Marlie had decided to apply for a private loan rather than a federal loan. She has

been offered a private loan for 10 years with an APR of 7.8%.

a. Determine her monthly payment.

b. What is the total amount she will pay back?

c. What is the total interest amount?

Answers

Using simple interest, and considering a loan of $5,000, it is found that:

a) Her monthly payment is of $74.17.

b) She will pay back $8,900.

c) The total interest amount is of $3,900.

The amount of money after t years in simple interest is modeled by:

[tex]A(t) = A(0)(1 + rt)[/tex]

In which:

A(0) is the initial amount. r is the interest rate, as a decimal.

In this problem:

The loan is of $5,000, hence [tex]A(0) = 5000[/tex].The APR is of 7.8%, hence [tex]r = 0.078[/tex]10 years, hence [tex]n = 10[/tex]

Item b:

[tex]A(10) = 5000[1 + 0.078(10)] = 8900[/tex]

She will pay back $8,900.

Item a:

$8,900 will be paid in 10 x 12 = 120 months, hence:

[tex]M = \frac{8900}{120} = 74.17[/tex]

Her monthly payment is of $74.17.

Item c:

Loan of $5,000, pays back $8,900, hence:

8900 - 5000 = 3,900

The total interest amount is of $3,900.

A similar problem is given at https://brainly.com/question/13176347

1cm +4cm+2cm+1.5cm+2.5cm
find its perimeter

Answers

Answer:

11 cm

Step-by-step explanation:

add whole numbers

1 + 4 + 2 = 7

add decimal numbers

1.5 + 2.5 = 4

add the answers

7 + 4 = 11

have a splendid day <3

Answer:

11cm

Step-by-step explanation:

To find perimeter, you simply just add each of the side lengths.

To make this easier to read, lest group some of the terms

1cm + 4cm = 5cm

2cm + 1.5cm = 3.5cm

5cm + 3.5cm = 8.5cm

8.5cm + 2.5cm = 11cm

The five terms are bolded to make sure that we added each term in the sum.

Jose is 52 inches tall and is growing 0.25 inches each month. Jacob is 54 inches tall and is growing 0.1 inches each month. How many months, x, will it take for Jose to be the same height as Jacob?

Answers

Answer:

who measures someone's height in inches

Step-by-step explanation:

the answer is 14

It will take 13.3 months for Jose to be the same height with Jacob.

x = number of month

The height equation for Jose:

Jose is already 52 inches tall and growing at 0.25 inches per month. Therefore, his height is represented as follows

h(x) = 52 + 0.25(x)

The height equation for Jacob:

Jacob is already 54 inches tall and growing at 0.1 inches per month. Therefore, his height is represented as follows

h(x) = 54 + 0.1x

For both to have the same height,

52 + 0.25x = 54 + 0.1x

52 - 54 = 0.1x - 0.25x

-2 = -0.15x

x = -2 / -0.15

x = 13.3333333333

x = 13.3 months

learn more linear equation here:  https://brainly.com/question/19704985?referrer=searchResults

please help.. no links​

Answers

Answer:

The first answer

Step-by-step explanation:

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