Rationalise the denominator of (12)/(\sqrt(10)+\sqrt(7)+\sqrt(3))

Answer:

2√13

Step-by-step explanation:

⇒ √(3√3)² + 5²

⇒ √27 + 25

⇒ √52

⇒ 2√13

Answer:

( -2 , -1 ) , ( -2 , 3 ) , ( 1 , 0 )

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The residual plot will be the one showing the difference between the students that were expected to enroll and the real number of students who enroll.

A residual plot is one plot that shows the error or the residual.

In this case, the residual plot will show the difference between the students that were expected to enroll based on the equation given and the real number of students who enroll.

Note: This question is incomplete because the options are not given; due to this, the answer is based on general knowledge.

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Answer:

8 pigs are there according to the questions because in question there is told that there are pigs as well as ducks

Answer:

Sample proportion (phat) = 180/400 = 0.45z-critical value for 95% confidence interval is z-score for probability = 0.975 = 1.96CI = phat +/- z-critical value * sqrt((phat)(1-phat)/sample size)      = 0.45 +/- 1.96 * sqrt(0.45 * 0.55/400)    = 0.45 +/- 0.049     = 0.401, 0.499

Answer:

A. Every small detail listed.

Step-by-step explanation:

This is incorrect because a summary is short. Listing every small detail would make your summary too long.

hope this helps

have a good day

Check the picture below.

so we have a rectangle with two circles, the rectangle is a 21x10.5 and the circle's have a radius of 5.25, so let's get the area of the two circles and subtract it from the whole area of the containing rectangle.

[tex]\stackrel{\textit{\Large Areas}}{\stackrel{rectangle}{(21)(10.5)}~~ - ~~\stackrel{two~circles}{2[\pi (5.25)^2]}}\implies 220.5~~ - ~~55.125\pi ~~\approx~~47.32[/tex]

Answer:

90 degrees :)

Step-by-step explanation:

x and 90 are supplementary.

x + 90 = 180

x = 90

The circumference of the circle is  [tex]C =\dfrac{20\pi}{4+\pi}[/tex]  when A is a minimum.

The circumference of the circle is the length of the curve traced out from the fixed point which is equidistant from the locus of the curve.

Let the side of the square be s

and the radius of the circle be r

The perimeter of the square is = 4s

The circumference of the circle is =2πr

Given that the length of the wire is 20 cm.

According to the problem,

4s + 2πr =20

⇒2s+πr =10

[tex]s=\dfrac{10-\pi r}{2}[/tex]

The area of the circle is = πr²

The area of the square is = s²

A represents the total area of the square and circle.

A=πr²+s²

Putting the value of s

[tex]A =\pi r^2 +(\dfrac{10-\pi r}{2})^2[/tex]

[tex]A =\pi r^2 +(\dfrac{10}{2})^2-2\times \dfrac{10}{2}\times \dfrac{\pi r}{2}+(\dfrac{\pi r}{2})^2[/tex]

[tex]A = { \pi r^2}(\dfrac{4+\pi}{4})-5\pi r+25[/tex]

For maximum or minimum [tex]\dfrac{dA}{dr}=0[/tex]

Differentiating with respect to r

[tex]\dfrac{dA}{dr}=\dfrac{2\pi r(4+\pi )}{4}-5 \pi[/tex]

Again differentiating with respect to r

[tex]\dfrac{d^2A}{dr^2}=\dfrac{2\pi (4+\pi )}{4}[/tex]    > 0

For maximum or minimum

[tex]\dfrac{dA}{dr}=0[/tex]

[tex]\dfrac{2\pi r(4+\pi )}{4}-5 \pi=0[/tex]

[tex]r = \dfrac{10\pi}{\pi (4+\pi)}[/tex]

[tex]r=\dfrac{10}{4+\pi}[/tex]

Therefore the circumference of the circle is

C = 2 π r

[tex]C = \dfrac{20 \pi }{4+\pi }[/tex]

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Answer:

(2)(2)+10x+12/x+3

=

10x+16/x+3

Step-by-step explanation:

The arc YOR of the circle is the major arc

In circles, a sector is said to be a part of a circle made of the arc of the circle together with its two radii. This means that it is a portion of the circle formed by a portion of the circumference (arc) and radii of the circle at both endpoints of the arc.

The formula for Area of a sector is given as;

θ/360 * πr²

where;

θ is the central angle of the sector

r is radius

Now, looking at the given options we can say that the only one that represents the area of the sector is;

A = n/360 * πr²

where n is the central angle of the sector

Given data ,

Let the arc of the sector be represented as YOR

Now , the center of the circle is Q

The angle subtended by the minor arc of the circle = 150°

So , the remaining angle = 360° - 150° = 210°

And , the angle subtended by the major arc = 210°

So , the arc YOR is the major arc of the circle

Hence , the major arc is YOR

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Answer:

[tex]x=\frac{ln(\frac{19}{7}) }{2}[/tex]

Step-by-step explanation:

7*e^2x + 10 = 29

Subtract 10 to both side.

7*e^2x = 19

Divide 7 to both side.

e^2x = 19/7

Inverse e with ln.

ln(19/7) = 2x

Divide 2 to both side.

[tex]x=\frac{ln(\frac{19}{7}) }{2}[/tex]

Answer:

sin2x = √3/2.

Step-by-step explanation:

sin2x = 2 sinx cosx

So sinx cosx = 1/2 sin2x

So  1/2 sin2x = √3/4

sin2x = √3/4  * 2

sin2x = √3/2.

Agree

-(-7) would be positive 7 which is what is plotted.

Also the other two numbers are also plotted

Answer:

Agree with all three

Step-by-step explanation:

The points displayed on the numberline are -2, 1, and 7. The points given to you are -(-7), 1, and -2. Because -(-7) = 7, and 1 = 1, and -2 = -2. All three numbers given are ineed plotted on the numberline below.

The true statements about the scatter plots are

From the graph of the scatter plot, we have the following highlights:

The above highlights mean that (a), and (d) are true

Since the graph is a linear association, then it can be used to model hourly rates

This means that (e) is true

Hence, the true statements about the scatter plots are (a), (d) and (e)

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The required trigonometric identity is 1/2[sin(x + y) - sin(x - y)] = cosxsiny

To answer the question, we need to know what trigonometric identities are

Trigonometric identities are relationships between the trigonometic ratios.

Since we require cosxsiny

Given that

So, subtracting both expressions, we have

sin(x + y) - sin(x - y) = sinxcosy + cosxsiny - (sinxcosy - cosxsiny)

= sinxcosy + cosxsiny - sinxcosy + cosxsiny

= sinxcosy - sinxcosy + cosxsiny  + cosxsiny

= 0 + 2cosxsiny

= 2cosxsiny

sin(x + y) - sin(x - y) = 2cosxsiny

Dividing through by 2, we have

1/2[sin(x + y) - sin(x - y)] = cosxsiny

So, the required trigonometric identity is 1/2[sin(x + y) - sin(x - y)] = cosxsiny

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Answer:

12*1/4= 3

30 is C

16*3/4 = 12

31 is B

Answer:

30: C

31: B

Step-by-step explanation:

30: If the width of the vegetable garden is 1/4 of it's length, we have to divide the length of the garden (12 feet) by 4 and we get 3 feet.

31: We just need to multiply 16 by 3/4 and we get 12.

answer:-1

reason :

Once the numbers add up, once they decrease

what does it mean?

it mean that:

The first and second numbers we add are one, they become two

The second and third numbers are one and two. We subtract the second number from the third number, it becomes negative one and ...

1+1=2

1-2=-1

2+(-1)=1

-1-(+1)=-2

1+(-2)=-1

so we should - them

-2-(-1)=-1

The next number in the given sequence will be negative 1.

What is a sequence?

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.

A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.

The first and second numbers we add are one, they become two.

The second and third numbers are one and two. We subtract the second number from the third number, it becomes a negative one, and ...

1 + 1 = 2

1 - 2 = - 1

2 + (-1) = 1

-1 - (+1) = -2

1 + (-2) = -1

Then the next number in the sequence will be given as,

-2 - (-1) = -1

The next number in the given sequence will be negative 1.

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Answer:

X=26

Combine multiplied terms into a single fraction to make the question more simple.

EX: 3(2x-16)/4

Answer:

x=26

Step-by-step explanation:

3/4(2x-16)=27

3/4×2(x-8)=27

3/2(x-8)=27

x-8=27×2/3

x-8=9×2

x-8=18

x=18+8

x=26

Step-by-step explanation:

you know by using the x and y coordinates of the point in the equations and see, if both equations are still true.

if yes, it was a solution, and if just only one is false, then it was not a solution.

(3, -2) in

y + 4x = 10

5x - y = 13

so,

-2 + 4×3 = 10

-2 + 12 = 10

10 = 10 true

5×3 - (-2) = 13

15 + 2 = 13

17 = 13 false

so, it was NOT a solution.

Answer:

tan cox³ / 5s

Replace ^-1 with ^(-1)

Replace x3 with x³

Simplify

x³ / 5

Use equation to solve

tan • ((co • (s-1)) • x³ / 5)

Take the previous equation and format it in a simpler form

tan • ((co • (s-1)) • x³ / 5) ⇒ tan • cox³ / 5s

tan cox³ / 5s

The first step in finding the incenter of the triangle, JKL using paper folding is to Fold the paper so that the legs of ∠K overlap.

The first step in using the paper folding method is to fold the paper so that the legs of the triangle overlap.

Then unfold the paper and draw a line at the crease you find. This will allow you to label the point of intersection after you do the same for all the sides of the triangle. This point is the incenter.

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[tex] \qquad \qquad \rm \large \dag \: Answer \: \dag[/tex]

We have been given a Quadratic equation, where we have to find the real values of x ~

So, let's proceed with middle term splitting method :

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} + 5x - 6 = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \: x {}^{2} + 6x - x - 6 = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x(}^{} x + 6) - 1(x + 6) = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \: (x + 6)(x - 1) = 0[/tex]

Now, we have two conditions here~

Either (x + 6) = 0

[tex]\qquad \sf  \dashrightarrow \: x = - 6[/tex]

or (x - 1) = 0

[tex]\qquad \sf  \dashrightarrow \: x = 1[/tex]

Answer:

(x-6)^2 =40

Step-by-step explanation:

The correct answer is (x-6)^2 =40

why??

Expand (x-6)^2

x^2 -12x+36 =40

Transpos  40 to the left side

So,

x^2 -12x+36 -40

Which is

x^2 -12x -4=0

Answer:

Step-by-step explanation:

Answer:

(-2, -11)

(0, -1)

(2, 9)

(4, 19)

Step-by-step explanation:

when x = -2:

⇒ y = 5(-2) - 1

⇒ y = -10 - 1

⇒ y = -11

when x = 0:

⇒ y = 5(0) - 1

⇒ y = 0 - 1

⇒ y = -1

when x = 2:

⇒ y = 5(2) - 1

⇒ y = 10 - 1

⇒ y = 9

when x = 4:

⇒ y = 5(4) - 1

⇒ y = 20 - 1

⇒ y = 19

Given:

radius(R) = 12 units

arc = 134°

Find: area of sector

Plan: if you think about it, a sector area is a fractional part of the full area of the circle. It’s a pie piece.

A(circle) = π R^2

134° is 134°/360° = 67/180 That is 67/180 th of the full circle

area (S) = 67/180 (π R^2)

S = 67/180 (π )(12^2) = 67/180(144 π) = 54 π units^2 or

≈ 54(3.1416) ≈ 168.389 units^2

Double Check: ✅ ✅

Answer: 18 π units^2 or 168.39 units^2 approximately

Answer:

Whats remind?

Step-by-step explanation: