20. simplify each of the following: see the above picture
and get 40 points

20. Simplify Each Of The Following: See The Above Pictureand Get 40 Points

Answers

Answer 1

Answer:

[tex]i)14 + 4 \sqrt{6} [/tex]

[tex]ii) \sqrt{10} + 28[/tex]

[tex]iii) 243[/tex]

Step-by-step explanation:

[tex]i)(2 \sqrt{3} + \sqrt{2} {)}^{2} [/tex]

➡️ [tex]12 + 4 \sqrt{6} + 2[/tex]

➡️ [tex]14 + 4 \sqrt{6} [/tex] ✅

●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●

[tex]ii)(3 \sqrt{5} - \sqrt{2} ) \times ( \sqrt{2} + 2 \sqrt{5} )[/tex]

➡️ [tex]3 \sqrt{10} + 30 - 2 - 2 \sqrt{10} [/tex]

➡️ [tex] \sqrt{10} + 28[/tex] ✅

●●●●●●●●●●●●●●●●●●●●●●●●●●●●●●

[tex]iii)3 \sqrt{81} \times 3 \sqrt{9} [/tex]

➡️ [tex]3 \times 9 \times 3 \times 3[/tex]

➡️ [tex]243[/tex] ✅


Related Questions

Change the word phrase to an algebraic expression. Use x as the variable to represent the number.
16 subtracted from a number

Let x = the number.


16 subtracted from a number can be written as…

Answers

Answer:

I think the answer is

x-16

since 16 is subtracted from x.

I hope this helps

please solve it fastand give the correct answer pleaseeeeee​

Answers

Answer:

a. False b. True c. True d. False e. False

Step-by-step explanation:

What is the relationship between the value of the digit 3 in 4,231 and in the value of the digit 3 in the number 3,421?

A.
In 4,231, the value of the digit 3 is
1
10
the value of the digit 3 in 3,421.

B.
In 4,231, the value of the digit 3 is 10 times the value of the digit 3 in 3,421.

C.
In 4,231, the value of the digit 3 is
1
100
the value of the digit 3 in 3,421.

D.
In 4,231, the value of the digit 3 is 100 times the value of the digit 3 in 3,421.

Answers

Answer D

Step-by-step explanation:

looks right

Divide $180 in the ratio 7:2
[10pts]

Answers

Answer:

hope it helps

Step-by-step explanation:

Derivatives concept:
Exercise "position and instantaneous velocity"

(Full development)

Answers

(A) The blue line has a slope of 5/2, red has slope 4/4 = 1, and purple has slope 3/9 = 1/3.

To find the slope, take any two points (a, b) and (c, d) on the line, then

slope = (d - b)/(c - a)

i.e. the ratio between the changes in the y and x coordinates.

(B) Each line has equation

• blue: y = 5/2 x

• red: y = x

• purple: y = 1/3 x

This follows from the general equation for a line with slope m and y-intercept b,

y = mx + b

or from the more general equation for a line with slope m passing through a point (a, b),

y - b = m (x - a)

(C) Consider the blue line. If you take units into account, its slope is

(5 units of distance)/(2 units of time) = 5/2 (units of distance/time)

which means, per unit time, some object travels a 5/2 units of distance, and this is the definition of speed.

(D) The competitor with the blue line, Mary, would win the race because their speed is the highest (5/2 > 1 > 1/3).

(E) Average velocity is defined as

v (ave) = ∆d/∆t = (change in distance)/(change in time)

At time 0, no one has moved yet. At time 4,

• Mary has covered a distance of 5/2 × 4 = 10, giving her an average velocity of (10 - 0)/(4 - 0) = 5/2

• Mike has covered a distance of 4, so his average velocity is (4 - 0)/(4 - 0) = 1

• Sam has covered a distance of 1/3 × 4 = 4/3, so his average velocity is (4/3 - 0)/(4 - 0) = 1/3

It's not a coincidence that the average velocities are the same as the slopes, because each racer travels at a constant speed.

(F) The racers' instantaneous velocities are the same as their respective average velocities, again because they are each moving at a constant speed.

You pay $16 to buy four pizzas, How much did each pizza cost?

Answers

Answer:

16 dollars = 4 pizzas

4 dollars = 1 pizza

Each pizza costs 4 dollars.

Let me know if this helps!

Answer: $4

Step-by-step explanation:

16 divided by 4, equals 4.

Which of the following ordered pairs is a solution of the function f(x)=3x-1

Answers

The answer is (-1,-4)

In 1815, Sophie Germain won a mathematical prize given by the Institut de France for her work on the theory of elasticity. The prize was a medal made of 1 kilogram of gold. How much is the medal worth today in U.S. dollars and in euros

Answers

Answer:

gold price : $58.72/gram

$58,720 per kilo(1000) grams

Step-by-step explanation:

Solve the equation.

0.50x +0.45(50) = 48.5

x=?​

Answers

Answer:

x=52 Here is y

Step-by-step explanation:

Write each decimal as a fraction or mixed number in simplest form.
1 3/8

Answers

3/2

Step One: 1 3/8, transform the number into a improper fraction:

To have a mixed number in to a improper fraction, you need to use            addition and multiplication.  For 1 3/8, We first multiply the denominator (8, also know to be the bottom number of the fraction) to the whole number (1).  8x1= 8NOTE: The original denominator (8) will be use for are improper, again playing as the denominator, we only multiply the denominator for the numerator (which is the top number of a fraction).After multiplying, we'll add are product with the numerator (3) for the process. 8+3= 12 Now we have both numerator and denominator for 1 3/8, we can create the improper fraction. 12 as the numerator and 8 as the denominator. 12/8We still need to simplify the number. To that, we need the biggest whole number, or rather I call it the lowest number, that can be divide both in 12 and 8. 4 can be divide by both number so: 12/4= 3 and 8/4=2Now 3 is are simplify numerator and 2 is are simplify denominator.

If 2m−6=8m
2
m
-
6
=
8
m
then 3m=
3
m
=


A. 3
B. -1
C. -3
D. -6
E. I don't know.

Answers

Answer:

3m = -3

Step-by-step explanation:

2m−6=8m

Subtract 2m from each side

2m−6-2m=8m-2m

-6 = 6m

Divide by 6

-6/6 = 6m/6

-1 = m

3m = 3(-1) = -3

S O L U T I O N :

2m - 6 = 8m

2m - 8m = 6

-6m = 6

m = -6/6

m = -1

Hence, the answer is -1

What is the value of x in the geometric sequence x,3,−1/3

Answers

Answer:

x=27

Step-by-step explanation:

the answer is proved in the diagram above

The value of x is 27

What is Geometric progression?

A geometric progression is a special type of progression where the successive terms bear a constant ratio known as a common ratio. It is also known as GP. The GP is generally represented in form a, ar, ar2.... where a is the first term and r is the common ratio of the progression. The common ratio can have both negative as well as positive values. To find the terms of a geometric series, we only need the first term and the constant ratio.

The geometric progression is of two types. They are

finite geometric progression andinfinite geometric progression.

Given:

x,3,−1/3

First term, a

second term

ar= 3

a= 3/r

third term

ar² = -1/3

a= -1/3r²

So,

3/r= - 1/3r²

9r= 1

r= 1/9

So,

ar= 3

a= 27.

Learn more about Geometric progression here:

https://brainly.com/question/4853032

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[tex] \frac{2}{3} \times \frac{2}{3} \times \frac{2}{3} = what[/tex]



Answer I'll make and mark as brainlist.

Answer Fast.
Post on - 2 Aug 2021 ​

Answers

2^3
——
3^3



............

A(6, -5) and B(-1, 2) in the ratio of 2:5​

Answers

Answer:

p(x,y)= (4,-3)

Step-by-step explanation:

all explainations are in the picture below.

Which group of numbers is ordered from LEAST to GREATEST?



Select one:

A.
246,263, 250,100, 250,000


B.
250,100, 246,263, 250,000,


C.
246,263, 250,000, 250,100,


D.
250,100, 250,000, 246,263,

Answers

C is the correct answer

PLEASE HELP i’ll give brainliest to best and correct answer

Answers

Step-by-step explanation:

|- 9| + |- 3|

9 + 3

12

I hope this answers your question

a students cost for last semester at her community college was $2100. She spent $336 of that on books. What percent of last semesters college cost was spent on books?

Answers

Answer:

16%

Step-by-step explanation:

To find the percent, take the cost of the books over the total

336/2100

.16

Multiply by 100 to change to percent

16%

Solving a word problem on proportions using a unit rate
Lucy made $95 for 5 hours of work.
At the same rate, how much would she make for 13 hours of work?
sl
X Х
5
?

Answers

Answer:

$247

Step-by-step explanation:

$95 = 5 h

1 h = 95 ÷ 5 = $19/h

$19 × 13h = $247

she would make $247 after 13 hours of work.

Factorise 24e^2-28e-12

Answers

Answer:

4(2e - 3)(3e + 1)

Step-by-step explanation:

Given

24e² - 28e - 12 ← factor out 4 from each term

= 4(6e² - 7e - 3) ← factor the quadratic

Consider the factors of the product of the e² term and the constant term which sum to give the coefficient of the e- term.

product = 6 × - 3 = - 18 and sum = - 7

The factors are - 9 and + 2

Use these factors to split the e- term

6e² - 9e + 2e - 3 ( factor the first/second and third/fourth terms )

= 3e(2e - 3) + 1 (2e - 3) ← factor out (2e - 3) from each term

= (2e - 3)(3e + 1)

Then

24e² - 28e - 12 = 4(2e - 3)(3e + 1) ← in factored form

Consider the line L(t)=⟨5+t,1+5t⟩. Then:
Choose perpendicular, parallel or neither. (PS. Answers below may not be true.)

Answers

If L(t) = ⟨5 + t, 1 + 5t⟩, then the tangent vector to L(t) is

dL/dt = ⟨1, 5⟩

Any line parallel to L(t) will have the same tangent vector, up to some scalar factor (that is, if the tangent vector is a multiple of ⟨1, 5⟩).

Any line r(t) with tangent vector T(t) = dr/dt that is perpendicular to L(t) will satisfy

T(t) • ⟨1, 5⟩ = 0

• r(t) = ⟨-5, -2t, 1 - 10t⟩ is parallel to L(t) because its tangent vector is

T(t) = ⟨-2, -10⟩ = -2 ⟨1, 5⟩

• r(t) = ⟨1 + 1.5t, 3 + 7.5t⟩ is parallel to L(t) because

T(t) = ⟨1.5, 7.5⟩ = 1.5 ⟨1, 5⟩

• r(t) = ⟨-2 - t, 2 - 2t⟩ is neither parallel nor perpendicular to L(t) because

T(t) = ⟨-1, -2⟩ ≠ k ⟨1, 5⟩

for any real k (in other words, there is no k such that -1 = k and -2 = 5k), and

⟨-1, -2⟩ • ⟨1, 5⟩ = -1 - 10 = -11 ≠ 0

• r(t) = ⟨3 + 15t, -3t⟩ is perpendicular to L(t) because

T(t) = ⟨15, -3⟩

and

⟨15, -3⟩ • ⟨1, 5⟩ = 15 - 15 = 0

Find the value of each expression.


30 ÷ 3 × 2

Answers

Answer:

Step-by-step explanation:

1) First division has to be done.

2) After that multiplication has to be done.

30 ÷ 3 * 2 = 10 * 2

                 = 20

Answer:

20

Step-by-step explanation:

30 ÷ 3 × 2

(Since it’s division and multi platoon, we just go left to right)

10 × 2

20

Please find the answer !

Answers

Answer:

ring volume is 12cm3

Step-by-step explanation:

Lr ccm=volume of water and ring - Volume of water

ring cubic centimeters =x

x=9.2cm*4.5cm*7cm - 8.8cm*4.5cm*7cm

x=289.2cm3 - 277.2cm3

x=12cm3

What is the domain of the function in the graph?

Answers

Answer:

1≤x≤5

Step-by-step explanation:

The domain is the values for the inputs

The domain goes from 1 to 5

1≤x≤5

Solve the following proportion for y
y/9=13/11
Round your answer to the nearest tenth.
y=?

Answers

Answer:

y = 10.6

Step-by-step explanation:

We can solve using cross products

y       13

---- = ----

9      11

y*11 = 9*13

11y =117

Divide each side by 11

11y/11 =117/11

y=10.63636

To the nearest tenth

y = 10.6

The value of y using the proportion relation y/9 = 13/11 is 117/11.

Given Relation:

y/9 = 13/11

As, the proportion is the condition where two ratios are equivalent.

Now, solving the equation y/9 = 13/11 for y

First, cross multiply the equation

11y = 117

Now, divide both side by 11 gives

11y /11 = 117/ 11

y= 117 /11

As, there no common factor of 117 and 11.

Thus, the simplified value is 117.11

Learn more about Proportion here:

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The expression 2(l + w) is used to calculate the perimeter of a rectangle, where l is length and w is width. If the length is Fraction 2 over 5 unit and the width is Fraction 1 over 5 unit, what is the perimeter of the rectangle in units?

Fraction 3 over 5 unit
1 unit
1Fraction 1 over 5 units
2Fraction 3 over 5 units

Answers

Answer:

Step-by-step explanation:

L = ⅖ unit

W = ⅕ unit

L+W = ⅗ unit

Perimeter = 2×⅗ = 6/5 units = 1⅕ units

Answer:

L = ⅖ unit

W = ⅕ unit

L+W = ⅗ unit

Perimeter = 2×⅗ = 6/5 units = 1⅕ units

Step-by-step explanation:

Geometry please help me!In the figure below, what value of x will satisfy the midsegment theorea? X=

Answers

Answer:

x=30.5

Step-by-step explanation:

Using midsegment 's theorea:

[tex]2=\dfrac{RG}{RS} =\dfrac{RH}{RQ} =\dfrac{GH}{SQ} \\\\4x-65=2x-4\\\\2x=61\\\\x=\dfrac{61}{2} \\\\x=30.5\\[/tex]

Nicole took a taxi from her house to the airport. The taxi company charged a pick-up fee of $2.90 plus $1.75 per mile. The total fare was $44.90, not including the tip. Write and solve an equation which can be used to determine xx, the number of miles in the taxi ride.

Answers

9514 1404 393

Answer:

  24 miles

Step-by-step explanation:

The total fare is the sum of the pickup fee and the mileage charge. For xx miles, the mileage charge will be 1.75xx, so the total is ...

  1.75xx +2.90 = 44.90 . . .  equation for xx

  1.75xx = 42.00 . . . . . subtract 2.90

  xx = 24 . . . . . . . . . divide by 1.75

The number of miles in Nicole's taxi ride was 24.

Simplify i12

A.-1
B.-i
C.i
D.1

Answers

Answer:

D 1

Step-by-step explanation:

i^12

We know i^4 = 1

Rewriting

i^4^3

1^3

1

Answer:

part 1- D. 1

part 2- Square root of -144 =12i

Step-by-step explanation:

Got them correct

PLEASE HELP! ASAP Thanks xoxo!

Answers

Step-by-step explanation:

For the question in:First Picture -

Answer is 115°

Second Picture-

Answer is Definition of parallelogram

Third Picture -

Answer is 114°

find the h.c.f of 2⁴×3×5²×7,5²×3²×5​

Answers

Answer:

To find the HCF we multiply the numbers in the overlapping quadrant together:

Step-by-step explanation:

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