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Answer:

= X¹²

Step-by-step explanation:

According to law of indices

a^m * a^n = a^{m+n}

Hence;

X5.X4.X3 ​

= X⁵⁺⁴⁺³

= X¹²

Note that all the powers are added since it is multiplication

Answer:

yes in what can I help you

Answer:

85/100*x=51

Step-by-step explanation:

85x=5100

Answer:

<1  = 35degrees

<2  = 30degrees

Step-by-step explanation:

Using the theorem that the sum of external angle is equal to sum of interior angle

Considering the smaller triangle

Exterior angle = 115 degrees

Sum of interior = <1 + 80

Equating both

<1 + 80 = 115

<1 = 115 - 80

<1  = 35degrees

For the big rectangle

Exterior angle = 115 degrees

Sum of interior = <2 + 85

Equating both

<2 + 85 = 115

<2 = 115 - 85

<2 = 30degrees

Answer:

THE ANSWER IS 13:20

Step-by-step explanation:

Answer:

Landscape evolution theories indicate that the topography inherently records the interaction between climatic, tectonic, and surface processes. Consequently, geological and topographic information can be used to assess erosion and topographic evolution.

Step-by-step explanation:

hopes this helps

have a good day :)

Answer:

y = 88

Step-by-step explanation:

y + 53 + 39 = 180

y + 92 = 180

y = 88

Answer:

arc EFC = 237°

Step-by-step explanation:

arc DEF = 140°

arc EF = 140° - 83° = 57°

arc DC = arc FG

arc DC = (360° - 140° - 140°)/2 = 40°

arc EFC = arc CG + arc FG = arc EF = 140° + 40° + 57° = 237°

Answer:

x=22

Step-by-step explanation:

two interior angles = exterior angle

2x+2x+8=3x+30

4x+8=3x+30

x=30-8

x=22

This question is incomplete, the complete question is;

You are in a 12-member panel. If two people from the panel are selected to represent the panel, what is the probability you wont be selected.

[ Two decimal places ]

Answer:

The probability that you be selected is  0.83

Step-by-step explanation:

 Given the data in the question;

total number of people in the panel = 12

number of people to be selected from the panel = 2

probability you wont be selected = ?

Number of ways of selecting 2 people from the 12 member panel is;

⇒ ¹²C₂ = 12! / ( 2!( 12 - 2 )! ) = 479001600 / 7257600 = 66

so total number of outcome = 66

Now, number of ways in favor of selecting you and another person from the 12 member panel is;

⇒ ¹C₁ × ¹¹C₁ = [1! / ( 1!( 1 - 1 )! )] × [11! / ( 1!( 11 - 1 )! )] = 1 × 11 = 11

so favorable number of outcome = 11

∴ Probability of selecting you in the panel will be;

⇒ favorable number of outcome / total number of outcome

⇒ 11 / 66 = 1/6

Now, Probability of not selecting you in the panel will be;

⇒ 1 - Probability of selecting you in the panel

⇒ 1 - 1/6

⇒ 0.83

Therefore, The probability that you be selected is  0.83

Answer:

total perimeter =14+23+9+11+23-11=69cm×1/30=2.3ft

total cost =perimeter ×rate=2.3×1.65=$3.795

Answer:

The perimeter of a rectangle is 2L + 2W, where L and W are the length and width, respectively. The dimensions of the garden are given, 6 x 12 ft.

Step-by-step explanation:

hope it help :):):):):):)

Step-by-step explanation:

run No of cricket more cumulative less cumulative

0-10 3 3 85

10-20 8 11 82

20-30 19 30 74

30-40 25 55 55

40-50 30 85 30

Answer:

8.76

Step-by-step explanation:

$26.28 ÷3=8.76

since 26.38 is the total amount of all the 3 pizzas then we would have to divide 26.28 by the amoun of pizzas that was bought, which is 3, and you will get your answer

Answer:

d) 2

because all the figures +2

Answer:

1120 cm^3

Step-by-step explanation:

Volume of the ice cube = B * h

B = 20 cm^2

h = 4 cm

Volume = 20 * 4 = 80 cm^3

This volume is for one cube holder in the tray.

There are  7 * 2 such holders

There are 14 holders

Total volume of the holders =

14 * 80 =

1120 cubic cm

Answer:

50

Step-by-step explanation:

The sum of angle on a straight line is 180degres, hence;

X+3+x+20+x+7 = 180

3x+30=180

3x=180-30

3x = 150

X = 150/3

x = 50

Hence the value of x is 50

Answer:

[tex] (\sqrt[m]{ {x}^{a} } ) ^{b } = \sqrt[m]{ {x}^{ab} } [/tex]

Answer:

Solution given:

sin 52°=perpendicular/base

sin52°=AB/AC

AC=12/sin52°=15.23is your answer

Answer:

the coordinates of the point of x and y is -1÷ 2 and -√3÷ 2

Step-by-step explanation:

The computation of the coordinates of the point is shown below:

The angle is

= 4π ÷ 3

The radius is 1 unit

Now

x = rcos[tex]\theta[/tex], and y = rsin[tex]\theta[/tex]

Now

x = 1cos(4π ÷ 3) = -1÷ 2

y = 1sin(4π ÷ 3) = -√3÷ 2

hence, the corordinates of the point of x and y is -1÷ 2 and -√3÷ 2

Answer: x= -1/2 y= -root3/2

Step-by-step explanation:

Answer:

The line plot which has plots at the points 11.25, 12.5, 11.25, 14.125, 10.5, 11.25, 12 and a slope-line which goes roughly through the middle/mean of the points.

Step-by-step explanation:

Answer:

x+7x2+3x+2=6x+1+−5x+2

Step-by-step explanation:

Simplify the expression: x+7x2+3x+2=x+7(x+1)(x+2)

The form of the partial fraction decomposition is

x+7(x+1)(x+2)=Ax+1+Bx+2

Write the right-hand side as a single fraction:

x+7(x+1)(x+2)=(x+1)B+(x+2)A(x+1)(x+2)

The denominators are equal, so we require the equality of the numerators:

x+7=(x+1)B+(x+2)A

Expand the right-hand side:

x+7=xA+xB+2A+B

Collect up the like terms:

x+7=x(A+B)+2A+B

The coefficients near the like terms should be equal, so the following system is obtained:

{A+B=12A+B=7

Solving it (for steps, see system of equations calculator), we get that A=6, B=−5

Therefore,

x+7(x+1)(x+2)=6x+1+−5x+2

Answer: x+7x2+3x+2=6x+1+−5x+2