If √ 24 + √ 96 7 √600 = y√ 6, find the value of y. -​

Answers

Answer 1
Solution :

[tex]y = 2(1 + 5 \sqrt{967} )[/tex]

Step by Step explanation:

1.Switch sides[tex]y\sqrt{6} = \sqrt{24 } + \sqrt{967} \sqrt{600} [/tex]2.Simplify√24 + √967 √600

[tex]y \sqrt{6} = 2 \sqrt{6} + 10 \sqrt{5802} [/tex]

3.Divide both side by √6

[tex] \frac{y \sqrt{6} }{ \sqrt{6} } = \frac{2 \sqrt{6} }{ \sqrt{6 } } + \frac{10 \sqrt{5802} }{ \sqrt{6} } [/tex]4.Simplify[tex]y = 2(1 + 5 \sqrt{967} )[/tex]

Related Questions

The measure of an exterior angle of a regular polygon is 45º. How many sides does the polygon have?

Answers

Answer:The answer is 8 sides

Step-by-step explanation:

HELP WITH THE RIGHT ANSWER FOR BRAINLIEST!!!

Answers

Answer: this is the wrong answer

Step-by-step explanation:

Cheng likes a modern lawn sculpture made of four identical solid right pyramids with square bases. He decides to create an exact copy of the sculpture, so he needs to know what volume of sculpting material to purchase.

2 identical solid right pyramids with square bases are connected at the square base. Another 2 are connected in the same way and are stacked on top of the other 2 pyramids. The length of the base edge is 2 feet and the height of the whole structure is 6 feet.

He measures each edge of each base to be 2 feet. The height of the whole sculpture is 6 feet.

Answers

Volume is a three-dimensional scalar quantity. The amount of sculpting material needed is 8 ft³.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Since the pyramid is stacked one over the other, the total height of the sculpture is the sum of the four pyramid heights, therefore, the height of each pyramid is 1.5 ft.

The volume of the complete sculpture = 4(Volume of a single pyramid)

                                                                 = 4[(1/3) × (2 ft)² × 1.5 ft]

                                                                 = 4(2 ft³)

                                                                 = 8 ft³

Hence, the amount of sculpting material needed is 8 ft³.

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Answer:

8ft.^3

Step-by-step explanation:

I just took the test on edge :)

Solve the system of equations
−5x−3y=−28 and x+2y=0 by combining the equations

Answers

Answer: (8, -4)

Step-by-step explanation:

-5x - 3y = -28
  x + 2y = 0

1. Multiply both sides of the bottom system by 5 to cancel the x out

   5(x+2y=0)

   5x + 10y = 0

2. rewrite

   -5x - 3y = -28

    5x + 10y = 0

3. add

   0x + 7y = -28

4. divide by 7

   7y = -28

5. y = -4

6. plug in -4 for y in one of the original equations

   x + 2(-4) = 0

7. simplify

   x = 8

9. solution is

   (8, -4)

the graph of y = cos(x) was shifted downwards by 3 units, shrink horizontally by a fourth of a unit, inverted horizontally and shifted 60° to the left. if it has an amplitude of 5 units, write the equation of the resulting graph.​

Answers

Using translation concepts, it is found that the equation of the resulting graph is given by:

[tex]y = 2.5(\cos{(4x - 60^\circ)} - 3)[/tex]

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The parent function is given by:

[tex]y = \cos{x}[/tex]

The transformations are as follows:

Shift down of 3 units, hence [tex]y = \cos{x} - 3[/tex].Shrink horizontally by a fourth of a unit, hence [tex]y = \cos{(4x)} - 3[/tex].Inverted horizontally, hence [tex]y = \cos{-4x} - 3 = \cos{(4x)} - 3[/tex], as the cosine function is even.Shifted 60° to the left, hence [tex]y = \cos{(4x - 60^\circ)} - 3[/tex]Amplitude of 5 units, hence the function is multiplied by 5/2 = 2.5, that is, [tex]y = 2.5(\cos{(4x - 60^\circ)} - 3)[/tex].

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Esther gave the storekeeper a twenty dollar bill for a purchase of $14.51. How
much change should she have received?

Answers

Answer:

She would have received $5.49 change

Answer:

$5.49 ~$5.50

Explanation: $20 - $15.51 = $5.49 therefore you have to round off which would initially equal to $5.50

tess saids this shape is a rhombus. Jack says the shape is a square. Who is correct?

Answers

Tess and Jack are both correct with their claims

How to determine who is correct?

The attached image completes the question

From the complete question, we have the following highlights

The shape has equal side lengthsThe angles at the vertices of the shape are right angles

The above properties represent a square

A rhombus can also have the above properties when the vertices are at 90 degrees

Hence, Tess and Jack are both correct with their claims

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Ted needs 2500 metres for job. What length is this in kilometres

Answers

Answer:

2.5 kilometers

Step-by-step explanation:

One kilometer is 1000 meters

To convert from metres to kilometers, we divide by 1000

2500 ÷ 1000 = 2.5km

Select the best definition of repeating decimal.
A. any number that does not repeat, or terminate, that can not be written as a fraction.
B. a decimal that has a recurring sequence of numbers that follow a pattern
C. any number that can be written as a fraction, repeating or terminating decimal
D. a decimal which has digits that do not go on forever.​

Answers

The correct option that defines repeating decimals correctly is Option B;

a decimal that has a recurring sequence of numbers that follow a pattern.

What is  a Repeating Decimal?

A repeating decimal is also called a recurring decimal and it is a decimal representation of a number whose digits are periodic and the infinitely repeated portion is not zero.

From the above definition, it means that the correct option that defines repeating decimals correctly is Option B.

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13 × (11 + 11) - (4 × 17) - 6 = X​

Answers

Answer: 212

Step-by-step explanation:

13 * 22 - 68 - 6 = X

286 - 68 - 6 = X

286 - 74 = X

X = 212

Question 8
Select the solution to the following system of equations:
3x+2y=0
-x-y=1

Answers

Answer:

-x-y=1

-x= 1+y

x= -1-y

3x+2y=0

3(-1-y) +2y=0

-3-3y+2y=0

-3-y=0

y= -3

x= -1-(-3)

x= -1+3

x= 2

Therefore, x= 2 and y= -3

39. What is the value of x?

Answers

Answer:

x = 15

Step-by-step explanation:

the sum of the exterior angles of a polygon = 360°

sum the 5 exterior angles and equate to 360

5x + 3 + 4x + 8 + 5x + 5 + 6x - 1 + 3x = 360 , that is

23x + 15 = 360 ( subtract 15 from both sides )

23x = 345 ( divide both sides by 23 )

x = 15

x y
-1 -10
3 14
Complete the slope-intercept form of the linear equation that represents the relationship in the table.

Answers

to get the equation of any straight line, we simply need two points off of it, let's use the ones in the table.

[tex]\begin{array}{|cc|ll} \cline{1-2} x&y\\ \cline{1-2} -1&-10\\ 3&14\\ \cline{1-2} \end{array}\hspace{5em} (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-10})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{14}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{14}-\stackrel{y1}{(-10)}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-1)}}} \implies \cfrac{14 +10}{3 +1}\implies \cfrac{24}{4}\implies 6[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-10)}=\stackrel{m}{6}(x-\stackrel{x_1}{(-1)}) \\\\\\ y+10=6(x+1)\implies y+10=6x+6\implies y=6x-4[/tex]

If 12,5 % discounted is offered on a R500,00 pair of shoes ,how much discount will you receive

Answers

Answer: R62,500

Step-by-step explanation:

To find the discount, simply multiply 12.5% (0.125 in decimal form) with 500,000

500,000 x 0.125 = 62,500

Answer:

  ₹62,50

Step-by-step explanation:

The amount of discount is found by multiplying the discount rate by the amount being discounted.

  discount = 0,125 × ₹500,00 = ₹62,50

You will receive a discount of ₹62,50.

_____

Additional comment

Here, a comma is used to separate the units part of the number from the fractional part of the number. This decimal separator is an alternative to the use of a period or centered dot (·) for that purpose.

a puppy weighs 1 pound. what does the puppy weigh after 4 weeks​

Answers

i think it would be around 7 lbs
(i could be wrong but i think this is about right)

6 x (3+2) divided by 10

Answers

It is letter c 10x r t

find 3 solutions for y=-2x-4

Answers

Three possible solutions for this equation would be (0, -4), (1, -2), and (2, 0).

Explanation:

Solving the equation would provide these three various answers to verify the equation is true.

what the volume of the soild

Answers

Answer:

A.264

Step-by-step explanation:

((Area Of triangle*height)=Volume

Area of triangle is the base of the triangle multiplied by height of triangle divided by 2

((8*6)/2)*11=264

(07.03 MC)

Victoria used a probability simulator to pull 3 colored marbles from a bag and flip a coin 50 times. The results are shown in the tables below:


Color of
Marble Number of
Times Rolled
Blue
18
Green
20
Yellow
12


Heads Tails
20 30


Using Victoria's simulation, what is the probability of pulling a blue marble and the coin landing tails up?
48 over 50
38 over 50
540 over 2500
360 over 2500

Answers

The probability of pulling a blue marble and the coin landing tails up is 360/2500

How to determine the probability?

The tables of values are given as:

Color     Times

Blue        18

Green     20

Yellow    12

Heads    Tails

20          30

The probability of obtaining a blue marble is:

P(Blue) = 18/50

The probability of landing tails up is:

P(Tail) = 20/50

The required probability is:

P = P(Blue) * P(Tail)

This gives

P = 18/50 * 20/50

Evaluate the product

P = 360/2500

Hence, the probability of pulling a blue marble and the coin landing tails up is 360/2500

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Question 4 of 10
If ƒ(x) = 3(x+5) +−, what is f(a+2)?

Answers

[tex]f(x) = 3(x+5)\\\\f(a+2) = 3(a+2 +5) \\\\~~~~~~~~~~~~=3(a+7)\\\\~~~~~~~~~~~~=3a+21[/tex]

i need helpppp with this question

Answers

Answer is 2 look at picture for explanation

MEAN, MEDIAN AND MODE OF GROUPED DATA

Answers

See the attached files!!!!

Simplify the following
(3a 2b ×2a 6b)

Answers

Answer:

3a 2b ×2a 6b = 72a²b² = 72× (ab)²

Step-by-step explanation:

3a 2b ×2a 6b = (3 × 2)×(a × b) × (2 × 6)×(a × b)   [commutative property]

                      = (6×ab) × (12×ab)  [associative property]

                      = (6×12) × (ab×ab)  [commutative + associative]

                      = (72) × (ab)²

                      = 72× (ab)²

                      = 72a²b²  [exponent property]


Eleanor is working her way through school. She works two part-time jobs for a total of 24 hours a week. Job A pays $5.80 per hour, and Job B pays
$7.40 per hour. How many hours did she work at each job the week that she made $158.40.

Answers

Step-by-step explanation:

a = hours at job A

b = hours at job B

a + b = 24

a = 24 - b

5.8a + 7.4b = 158.4

note we can use the a = 24 - b identity in the second equation :

5.8×(24 - b) + 7.4b = 158.4

139.2 - 5.8b + 7.4b = 158.4

1.6b = 19.2

b = 12 hours

a = 24 - b = 24 - 12 = 12 hours

she worked 12 hours on job A and 12 hours on job B.

PLEASE HELP "What is the value of x in the triangle" (15 Points)

Answers

Answer:

The answer is B.) 3

Step-by-step explanation:

Answer:

jesse got right

Step-by-step explanation:

branliest.

A bicycle company is designing women's bicycle frames The frames can accommodate any woman taller than 54.5 inches. Given that the heights of adult American women are normally distributed, with a mean of 65 inches and a standard deviation of 3.5 inches, what percentage of American women CANNOT use the bicycles designed by this company?​

Answers

Using the normal distribution, it is found that 0.13% of American women CANNOT use the bicycles designed by this company.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

[tex]\mu = 65, \sigma = 3.5[/tex]

The proportion of women that cannot use the bikes(smaller than 54.5 inches) is the p-value of Z when X = 54.5, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{54.5 - 65}{3.5}[/tex]

Z = -3

Z = -3 has a p-value of 0.0013.

0.0013 = 0.13% of American women CANNOT use the bicycles designed by this company.

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Suppose the scores of seven members of a women’s golf team are 68, 62, 60, 64, 70, 66, and 72. Find the mean, median, and midrange.
a.
Mean = 64, median = 64, midrange = 64
b.
Mean = 65, median = 64, midrange = 66
c.
Mean = 66, median = 77, midrange = 65
d.
Mean = 66, median = 66, midrange = 66


Please select the best answer from the choices provided

A
B
C
D

Answers

The mean, median, and midrange of the given that are 66, 66 and 66 respectively.

Option D) Mean = 66, median = 66, midrange = 66 is the correct answer.

What is the mean, median, and midrange?

Mean is the sum total of the number divided by number of terms

Median is the middle number when arranged in ascending or descending order.

Midrange is the average of the sum of the maximum number and the minimum number.

Given that;

Data set: 68, 62, 60, 64, 70, 66, and 72n = 7

First, we arrange in ascending order.

60, 62. 64, 66, 68, 70, 72

Mean = ( 60 + 62 + 64 + 66 + 68 + 70 + 72 ) / 7

Mean = 462 / 7

Mean = 66

Median = 66

66 is the middle number.

Range = ( Max + Min ) / 2

Range = ( 72 + 60 ) / 2

Range = 132 / 2

Range = 66

Therefore, the mean, median, and midrange of the given that are 66, 66 and 66 respectively.

Option D) Mean = 66, median = 66, midrange = 66 is the correct answer.

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how to find the length of sides using pythagorean theorem​

Answers

Answer:

Pythagorean theorem is mainly used for finding the length of the third side of a right angled triangle if the lengths of other two sides are known.

For this, it is more useful if the theorem is stated in terms of the length of the sides of the triangle.

Consider a right angled triangle with sides of lengths p,b and h, where p,b and h are the lengths of perpendicular,base and hypotenuse respectively.

Draw squares on each of these sides.These squares have areas p²,b² and h².

For any right angled triangle with sides of length p,b and h;

[tex] \: \: \: \: \: \: \: {h}^{2} = {p}^{2} + {b}^{2} ....................(i)[/tex]

[tex] \therefore \: h = \sqrt{ {p}^{2} + {b}^{2} } [/tex]

From (i); p²=h²-b²

[tex] \therefore \: p = \sqrt{ {h}^{2} - {b}^{2} } [/tex]

Similarly,

[tex]b = \sqrt{ {h}^{2} - {p}^{2} } [/tex]

Step-by-step explanation:

[tex] \blue{ \frak{seolle_{aphr.odite} }}[/tex]

NEED HELP ASAP!!! PLEASE

Answers

The linear function that has a different rate of change from y = -3x+4 is A, a function with a y-intercept of -4 that passes through the point (-3,-13)

What is an intercept?

An intercept is the point where a straight line or a curve meets with the x or y axes.

Analysis:

The rate of change is the same as slope. The slope of y = -3x + 4 is -3,

All other functions Except A have a slope of -3.

for linear function A,

if y = mx + c, c = -4, x = -3, y = -13

-13= -3m - 4

-3m = -9

m = 3

In conclusion, linear function A with a y-intercept of -4 passing through the point (-3,-13) has a different rate of change from y = -3x + 4

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Fill in the blank.
5 × 5/2 = __ x 1/6

Answers

Answer:

25

Step-by-step explanation:

When multiplying a whole number by a fraction, the first step is to multiply the whole number by the numerator. Then, you divide by the denominator. For example, on the left side, 5 x 5 = 25. You are left with 25/6. Finally, when you divide by 6, you are left with 4.166.....

If the denominator is the same (6) on both sides, to get the same answer, you somehow need to get the numerator (25) the same. So, what whole number can be multiplied by 1 to get 25? This number is 25. Therefore, the missing number is 25. This answer is correct because 25 x 1 = 25. You would be left with 25/6 and get a final answer of 4.166....

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