which of the following is equivalent to the expression below sqrt 8 - sqrt 72 + sqrt 50
A. sqrt 2
B. 3 sqrt 2
C. 13 sqrt 2
D. 7 sqrt 2

Answer:

-3y/x^2

Step-by-step explanation:

-5/15 = -3

When dividing variables with powers, subtract the powers.

x^2 - x^4 = x^-2

y^3 - y^2 = y

z^4 - z^4 = 0

therefore we have -3 x^-2 y

Since we can't have negative powers, divide (move the x^-2 to the bottom and make positive)

-3y / x^2

Hope this helps! Let me know if I am wrong ^w^

Answer:

- y/3x^2

Step-by-step explanation:

The negative sign goes between y and 3x^2

Answer:

25.71

Step-by-step explanation:

πr + d

3.142(5) + 10

= 25.71

i think

Answer:

14

Step-by-step explanation:

10 questions = 4 correct + 6 incorrect

4 correct = 4* 5 = 20

6 incorrect = 6* (-1) = -6

His score is 20 -6 = 14 points

Answer:

4

Step-by-step explanation:

Sum of interior angles in a triangle is 180,

41 + 26u + u + 31 = 180

26u + u + 41 + 31 = 180

27u + 72 = 180

27u = 180 - 72

27u = 108

u = 108 / 27

u = 4

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

Here given

.we know that

[tex]\sf{ sum~ of~ 3 ~angles ~of~ a ~triangle~ is ~180° }[/tex]

According to the question,

Therefore:-

The value of u is 4°

Answer:

Step-by-step explanation:

1

There are 71 people who are female OR study French OR both.

To find the number of people who are female OR study French OR both, we need to add the numbers in the Female row (excluding the "Total" column) and the numbers in the French column (excluding the "Total" row), and then subtract the number of people who study both French and are female, as they were counted twice.

Number of people who are female = 43

Number of people who study French = 28

Number of people who study both French and are female = 16

Total = Number of people who are female + Number of people who study French - Number of people who study both French and are female

Total = 43 + 28 - 16

Total = 71

So, there are 71 people who are female OR study French OR both.

To know more about people   here

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Answer:

7/12

Step-by-step explanation:

10 white balls and 14 red balls = 24 balls

P( red) = number of red balls / total balls

           =14/24

           =7/12

Answer: It is Exponential

Step-by-step explanation: There is a graph provided below.

The kind of model which describes the given data best is exponential.

An exponential graph is a curve that has a horizontal asymptote and it either has an increasing slope or a decreasing slope. i.e., it starts as a horizontal line and then it first increases/decreases slowly and then the growth/decay becomes rapid. It always cuts the y-axis at some point but it may or may not cut the x-axis. i.e., an exponential graph always has a y-intercept but it may or may not have the x-intercept.

According to the given question.

We have a data set {(-1, 0.5), (0,1), (1, 2), (3, 8), (5, 52)}.

So, if we locate this points on the graph.

We see that, when 'x' varies 'y' varies as [tex]2^{x}[/tex].

Hence, the kind of model which describes the given data best is exponential.

Thus, option B is correct.

Find out more information about exponential graph here:

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Answer:

Density formula (p=m÷v). ---[ p= Density, m= Mass, v= volume]

so, 880g/80cm³

=11gcm³

Answer:

E500

Step-by-step explanation:

Given x the original price of the coat

437.5 + 0.125x = x

437.5 = 0.875x

x = E500

Answer:

D

Step-by-step explanation:

The line is decreasing. Option B is wrong because if it was true, it means that the entire candle burns in an hour

Answer:

100

Step-by-step explanation:

it is 50 when he sees it in a horizontal line so double it to see how much it is if it where straight

Answer:

[tex]4+2\sqrt{31}\text{ by } -4+2\sqrt{31}[/tex]

Or about 15.136 centimeters by 7.136 centimeters.

Step-by-step explanation:

Recall that the area of a rectangle is given by:

[tex]\displaystyle A = w\ell[/tex]

Where w is the width and l is the length.

We are given that the length is 8 centimeters longer than the width. In other words:

[tex]\ell = w+8[/tex]

And we are also given that the total area is 108 square centimeters.

Thus, substitute:

[tex](108)=w(w+8)[/tex]

Solve for w. Distribute:

[tex]w^2+8w=108[/tex]

Subtract 108 from both sides:

[tex]w^2+8w-108=0[/tex]

Since the equation is not factorable, we can use the quadratic formula:

[tex]\displaystyle x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

In this case, a = 1, b = 8, and c = -108. Substitute and evaluate:

[tex]\displaystyle \begin{aligned} w&= \frac{-(8)\pm\sqrt{(8)^2-4(1)(-108)}}{2(1)} \\ \\ &=\frac{-8\pm\sqrt{496}}{2}\\ \\ &=\frac{-8\pm4\sqrt{31}}{2} \\ \\ &=-4 \pm 2\sqrt{31} \end{aligned}[/tex]

So, our two solutions are:

[tex]w=-4+2\sqrt{31} \approx 7.136 \text{ or } w=-4-2\sqrt{31}\approx -15.136[/tex]

Since width cannot be negative, we can eliminate the second solution.

And since the length is eight centimeters longer than the width, the length is:

[tex]\ell =(-4+2\sqrt{31})+8=4+2\sqrt{31}\approx 15.136[/tex]

So, the dimensions of the rectangle are about 15.136 cm by 7.136 cm.

Answer:

The answer is "[tex]\frac{26}{7}[/tex]"

Step-by-step explanation:

The whole question can be found in the file attached.

[tex]\to x + \frac{5}{7} = \frac{31}{7}\\\\[/tex]

Subtracting the [tex]\frac{5}{7}[/tex] from both sides of the equations:

[tex]\to x +\frac{5}{7} - \frac{5}{7} = \frac{31}{7} - \frac{5}{7} \\\\[/tex]

                    [tex]= \frac{31-5}{7} \\\\= \frac{26}{7} \\\\[/tex]

Answer:

C

Step-by-step explanation:

distance between two points formula:

[tex]d = \sqrt{( x2 - x1) ^{2} + (y2 - y1) ^{2} } [/tex]

where the x and y values are derived from the known points

we are given the points (2, 4) and (8, -8)

given these two points let's define each variable

x1 = 2

x2 = 8

y1 = 4

y2 = -8

we now substitute in these values into the formula

[tex]d = \sqrt{(8 - 2) ^{2} + ( - 8 - 4)^{2} } [/tex]

now we evaluate the expression using PEMDAS

first we do the subtraction inside of the parenthesis

8 - 2 = 6

-8 - 4 = -12

d = sqrt(6)^2 + (-12)^2

next we do the exponents

6^2 = 36

-12^2 = 144

d = sqrt( 144 + 36 )

next do the addition inside of the parenthesis

144 + 36 = 180

d = sqrt ( 180 )

finally we do the square root of 180

sqrt ( 180 ) = 13 ( rounded to the nearest whole )

d = 13

Answer:

x > -24

Step-by-step explanation:

-x/4 < 6

Multiply each side by -4, remembering to flip the inequality

-x/4  *-4> 6*-4

x > -24

[tex]\boxed{\large{\bold{\red{ANSWER~:) }}}}[/tex]

[tex]\bold{ Note - }[/tex]

Answer:

Hey can you ask this question in English so I can no answer this question in English and then you can convert that my answer in your language as you're I'm Indian so I don't know this language

Step-by-step explanation:

Please don't you think that I'm doing this for points I think I should know this question so can you please answer this you're this and English

Answer:

the perimeter is 30 units

Answer:

d < 100

Step-by-step explanation:

the distance is less than (<) 100 ft

d < 100

The sentence translates to the inequality  d < 100

There's not much else to say about this problem. We just simply replace the "less than" wording with its corresponding symbol. We can think of the inequality sign as an alligator mouth that always wants to eat the larger value (so the open ended side is facing toward the larger value).

Answer:

y=3x+10

Step-by-step explanation:

y-4=(x+2)3

y-4=3x+6

y =3x+10

Answer:

D is the answer

Step-by-step explanation:

39 is 3 times greater than 13 and 27 is 3 times greater than 9

Answer:

P + Q = 1

Step-by-step explanation:

Given: [tex]\frac{1+\sqrt{3} }{1-\sqrt{3} }[/tex]  = P - [tex]\sqrt{Q}[/tex]

This is a question on surd, so we need to rationalize the denominator to have;

[tex]\frac{1+\sqrt{3} }{1-\sqrt{3} }[/tex]  * [tex]\frac{1+\sqrt{3} }{1+\sqrt{3} }[/tex] = [tex]\frac{1+\sqrt{3}+\sqrt{3} + 3}{1+\sqrt{3}-\sqrt{3} -3 }[/tex]

   = [tex]\frac{4+ 2\sqrt{3} }{1-3}[/tex]

   = [tex]\frac{4+2\sqrt{3} }{-2}[/tex]

   = -2 - [tex]\sqrt{3}[/tex]

Thus,

-2 - [tex]\sqrt{3}[/tex] = P - [tex]\sqrt{Q}[/tex]

⇒ P = -2 and Q = 3

Therefore, the value of P + Q = -2 + 3

                                                 = 1

Thus,

P + Q = 1

Answer:

60

Step-by-step explanation:

Answer:

4x + 2x would be 6x

Step-by-step explanation:

Answer: Y= 2x

Step-by-step explanation:

Answer:

y=2x-4

Step-by-step explanation:

firstly find the gradient

m=y2-y1/x2-x1

16-4/6-0

12/6

m=2

then use the equation to find the answer

y-y1=m(x-x1)

y-4=2(x-0)

y-4=2x-0

y=2x-4

Answer:

y=x-2,

so'n

y-x=2 answer you haven't write value.

The functions f and g have different axis of symmetry

The y-intercept of f is higher than the y-intercept of g

Over the interval [-6, -3], the average rate of change of f is more rapid than the average rate of change of g

The known value in the question includes the following

The given table of f(x) and x, from which we have;

The point of the minimum value, which is the vertex = (-3, -10)

The axis of symmetry, of a parabola is the vertical line passing through the vertex such that the y-values at equal distance from the line on either side are equal is the line x = -3

The y-intercept, which is the point the graph intercepts with the y-axis or where x = 0 is the point (0. 8)

Over the interval [-6, -3], the average rate of change of f = (-10 - 8)/(-3 -(-6)) = -6

From the graph of g(x), we have;

The axis of symmetry is the line x = -3

The y-intercept = (0, -2)

Over the interval [-6, -3], the average rate of change of g ≈ (6 - (-2))/(-3 -(-6)) = 8/3

Therefore, we have the correct options as follows;

The functions f and g have different axis of symmetry

The y-intercept of f is higher than the y-intercept of g

Over the interval [-6, -3], the average rate of change of f is more rapid than the average rate of change of g

Learn more about parabola here;

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Answer:

[tex]\left(x^4+3x^3-2x^2+5\right)+\left(2x^4-5x^3+4x-15\right)[/tex]

[tex]=[/tex] [tex]x^4+3x^3-2x^2+5+2x^4-5x^3+4x-15[/tex]

[tex]=x^4+2x^4+3x^3-5x^3-2x^2+4x+5-15[/tex]

[tex]=x^4+2x^4-2x^3-2x^2+4x+5-15[/tex]

[tex]=3x^4-2x^3-2x^2+4x+5-15[/tex]

[tex]=3x^4-2x^3-2x^2+4x-10[/tex]

[tex]OAmalOHopeO[/tex]

Answer:

length = 1696 m

breadth = 571 m

Step-by-step explanation:

perimeter = 4534 m

let breadth be b

so length = b + 1125 m

so

perimeter of rectangular garden = 2(l+b)

4534 m = 2(b+1125m+b) {substituting the value}

or, 4534 m = 2(2b+1125m)

or, 4534 m = 4b + 2250 m

or, 4534 m - 2250m = 4b

or, 2284m = 4b

or, b = 2284m/4

so, b  = 571m

so, l = b + 1125 m

= 571 m + 1125m

= 1696 m

Answer:

x =1 08

Step-by-step explanation: