Simplify (1-√3) (1÷3+√3) leaving your answer in the form p+q√3

Answer:

cos θ = -5/13

Step-by-step explanation:

sin θ = -12/13

Use Pythagorean identity.

sin²θ + cos²θ = 1

(-12/13)² + cos²θ = 1

144/169 + cos²θ = 1

cos²θ = 25/169

cos θ = ±5/13

θ is in the 3rd quadrant, so cos θ < 0.

cos θ = -5/13

Answer:

2d + 4 = 12

Step-by-step explanation:

d = # of daisies

d+4 = # of roses

The total number of flowers is 12, so:

d + d+4 = 12

2d + 4 = 12

Answer:

Given = A △ABC in which D and E are the mid-points of side AB and AC respectively. DE is joined .

To Prove : DE || BC and DE = 1 / 2 BC.

Const. : Produce the line segment DE to F , such that DE = EF. Join FC .

Proof : In △s AED and CEF, we have

AE = CE [∵E is the mid point of AC]

∠AED = ∠CEF[vert. opp.∠s]

and DE = EF [by construction]

∴ △AED ≅ △CEF [by SAS congruence axiom]

⇒ AD = CF ---(i)[c.p.c.t.]

and ∠ADE and ∠CEF ---(ii) [c.p.c.t.]

Now, D is the mid point of AB.

⇒ AD = DB ---(iii)

From (i) and (iii), CF = DB ---(iv)

Also, from (ii)

⇒ AD = || FC [if a pair of alt. int. ∠s are equal then lines are parallel]

⇒ DB || BC ---(v)

From (iv) and (v), we find that DBCF is a quadrilateral such that one pair of opposite sides are equal and parallel.

∴ DBCF is a ||gm

⇒ DF || BC and DF = BC [∵opp side of ||gm are equal and parallel]

Also, DE = EF [by construction]

Hence, DE || BC and DE = 1 / 2 BC

Answer:

LM = 1.5

LN = 3

Step-by-step explanation:

From the question given:

M is the midpoint of LN

LM = 3x

LN= 2x + 2

LM =.?

Next, we shall determine the value of x. This is illustrated below:

Since M is the midpoint of LN, it means that when we divide LN by 2 the result will be LM i.e

LN /2 = LM

With the above formula, we can obtain the value of x as follow:

LN= 2x + 2

LM = 3x

x =..?

LN /2 = LM

2x + 2/ 2 = 3x

Cross multiply

2 × 3x = 2x + 2

6x = 2x + 2

Collect like terms

6x - 2x = 2

4x = 2

Divide both side by 4

x = 2/4

x = 0.5

Finally, we can obtain LM and LN as follow:

LM = 3x

x = 0.5

LM = 3 × 0.5

LM = 1.5

LN= 2x + 2

x = 0.5

LN = 2(0.5) + 2

LN = 1 + 2

LN = 3

Answer:

24.93

Step-by-step explanation:

Rounding to two decimal places is the same as rounding to the nearest hundredth.

Locate the hundredth:

24.927

Check the number to the right of it:

24.927

If the number is greater than or equal to 5, then we round up. If the number is less than or equal to 4, we round down.

7 is greater than 5. So, we round up.

24.927 ≈ 24.93

2.94 is the answer.

The first digit after the decimal represents the tenth place. the subsequent digit after the decimal represents the hundredth area. The closing digits retain to fill within the vicinity values till there are no digits left.

Rounding a decimal quantity to two decimal locations is the same as rounding it to the hundredth place, that's the second area to the right of the decimal factor. as an instance, 2.83620364 may be spherical to two decimal locations as 2.94, and 0.7035 can be spherical to 2 decimal places as zero.70.

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Answer: D

f(x) domain: x ≥ 0

f–1(x) range: y ≥ 0

Step-by-step explanation:

Following are the calculation to the domain restriction:

Given:

[tex]f(x)=x^2+3\\\\f(x)\\\\f^{-1} (x)[/tex]

To Find:

domain restriction=?

Solution:

[tex]\to f(x)\ domain: x \geq 0\\\\\to f^{-1}(x) \ range: y \geq 0[/tex]

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Answer:

  2.48×10^13 miles

Step-by-step explanation:

There are about (365.25 days)(86400 seconds/day) = 31,557,600 seconds in one year. There are 1609.344 meters in one mile. So, the conversion can be written as ...

  (4.22 ly) (3×10^8 m/s) (3.15576×10^7 s/yr) / (1.609344×10^3 m/mi)

  = 4.22×3×3.15576/1.609344×10^(8+7-3) mi

  ≈ 24.8×10^12 mi

4.22 light years is about 2.48×10^13 miles

Answer: C, 16

Step-by-step explanation:

6n - 2 when n = 3

Replace n with 3

1. 6(3) -2

2. 6(3) =18

3.18-2 = 16

Answer is 16.

Answer: C: 16

Step-by-step explanation: 6*3 =18. 18-2=16

Answer:

Hey there!

(3,5) is your answer.

Hope this helps :)

Answer:

its (3,5)

hope it helps

Answer:

Step-by-step explanation:

$870.57

use equation total = Principal(1 + rate*time)

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

Integer Part: 4

Fractional Part: 377

To round 4.377 to the nearest hundredth means to round the numbers so you only have two digits in the fractional part. Use the rule (B) "If the last digit in the fractional part of 4.377 is 5 or more and the second digit in the fractional part is less than 9, then add 1 to the second digit of the fractional part and remove the third digit." With 4.377, rule B applies and 4.377 rounded to the nearest hundredth is: 4.38

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Have a great day/night!

❀*May*❀

Answer:

Plot the point at the minimum of the graph.

Step-by-step explanation:

If you keep moving the graph down, pick the point with the lowest y value that is still on the blue.

Answer: they use 2 cups of pineapple juice for every cup of orange juice

Answer:

0.02 appears 40,350 times in 807 & 4000 times in 80

Step-by-step explanation:

807/0.02=40,350

80/0.02=4000

Answer:

Following are the answer to this question:

Step-by-step explanation:

In-state 0, it has urns of the 100% chance of shifting towards state 1 because a colored ball must be substituted.  

In the [tex]state 1: \frac{1 \ white}{2 \ black} \ \ \ and \ \ \frac{2 \ white}{1 \ black}[/tex]

The probability to select White from both the probability to select Black from both are 2/9, therefore there are 4/9 possibilities to remain in State 1.  

It is probable which white from both the beginning is selected and black from the second, so that 1/9 probability of 0.  

The probability is 4/9 that the first black and the second white will be chosen and 4/9 possibility will be made to state 2.

In the [tex]state 2: \frac{2 \ white}{1 \ black} \ \ \ and \ \ \frac{1 \ white}{2 \ black}[/tex]

This is essentially a state 1 mirror image because identical claims are used for reverse colors.  

In-State 3, the urns are 100% likely to revert to State 2.  

It is the representation of matrix M is, therefore:

[tex]( ..0. ..1. ..0. ..0. )\\\\( \frac{1}{9} \frac{4}{9} \frac{4}{9}.. 0. )\\\\( ..0. \ \frac{4}{9} \ \frac{4}{9} \ \frac{1}{9})\\\\( ..0. ..0. ..1. ..0. )\\\\So, \\ X_n = M \times X_{n}-1 \\\\Or\\X_n = M^n \times X_0[/tex]

Answer:

5^6

Step-by-step explanation:

(5^3)^2

We know that a^b^c = a^(b*c)

5^(3*2)

5^6

Answer:

5⁶

Step-by-step explanation:

[tex]x^{a^{b} } =[/tex] xᵃᵇ

on this case:

[tex]5^{3^{2} }[/tex] = 5⁽³⁾⁽²⁾ = 5⁶

Answer:

It is a transmission from formal to informal knowledge and skill from either a different or the same generation.

Answer:

37  r10                  

explanation                                              

   0 3 7

2 3   L 8 6 1

 − 0    

   8 6  

 − 6 9  

   1 7 1

 − 1 6 1

     1 0

Step-by-step explanation:

It is given that,

A building is 34 inches wide. Its 14 inches is concrete, 12 inches is brick, and 8 inches is limestone. We need to find the fraction of the wall is brick.

A fraction is in the form of x/y. y is total value and x is a part of y.

Here, 12 inches is brick. So, its fraction is :

[tex]F=\dfrac{12}{34}=\dfrac{6}{17}[/tex]

So, fraction of [tex]\dfrac{6}{17}[/tex] is the wall which is brick.

Answer:

  {1, 2, 4, 5, 6, 8, 10, 11, 12, 14, 15, 16, 19, 20, 23, 24, 25, 27, 28, 29, 31, 32, 33, 35, 36, 37, 39, 40, 41, 43, 44, 47, 48, 51, 52, 55, 56, 59, 60, 64, 68, 72, 74, 76, 78, 80, 82, 86, 90, 94, 98}

Step-by-step explanation:

The total number of pushups Bucky does is the sum sequence of scores in the game. The values in that sequence depend on the order of the goal types.

For example, consider a 2-goal game. Possible sequences of scores are ...

  3, 6  (9 pushups)

  3, 10  (13 pushups)

  7, 10  (17 pushups)

  7, 14  (21 pushups)

You can see that for a 1- or 2-goal game, the number of pushups cannot be any of ... 1, 2, 4, 5, 6, 8, 10, 11, 12, 14, 15, 16.

The list above is all of the numbers less than 100 that are numbers of pushups Bucky will never do in any game in which the goal values are either 3 or 7.

__

Any game with 8 goals or more will have numbers of pushups more than 100.

Answer:

14

Step-by-step explanation:

Divide the number of laps by the number of swimmers for one of the rows. I did 108/9. You can double check by doing a second row. I did it wrong the first time sorry. That’s why you double check

Answer:

12

Step-by-step explanation:

240/20 = 12

216/18 = 12

168/14 = 12

108/9 = 12

then:

the constant of proporcionality is:

12

Answer:

2(x+5) = 2x+10

Step-by-step explanation:

2(x+5)

= 2*x + 2*5

= 2x+10

Answer:

s =2

Step-by-step explanation:

__3s__   = __6__

    3                3

s = 2

Hi there! Hopefully this helps!

-------------------------------------------------------------------------------------------------------

[tex]6 = 3s[/tex]

Divide both sides by 3.

[tex]\frac{6}{3} = s[/tex]

Divide 6 by 3 to get 2.

[tex]2 = s[/tex]

Swap sides so that all variable terms are on the left hand side.

[tex]s = 2[/tex]

Answer:

the simple multiplier is equal to 4

Step-by-step explanation:

Given that:

Y=  C + I + G + (X - M)

the average expenditure Y must be equal  to the totality of the output

If C = 3 + 0.75Y  

here;

the  marginal propensity  consumed MPC = 0.75

Then,

Y = 3 + 0.75Y + 2 + 1

Y = 6+0.75 Y

Y - 0.75 Y = 6

0.25 Y = 6

Y = 6/0.25

Y = 24

However,  the simple multiplier can be expressed as:

[tex]= \dfrac{1}{1-MPC}[/tex]

[tex]= \dfrac{1}{1-0.75}[/tex]

= [tex]\dfrac{1}{0.25}[/tex]

= 4

Answer:

33

Step-by-step explanation:

Substitute f(-3) in the problem and you'll get f(-3) = -x³ + x² + x.

Substitute the given value into the function and evaluate.

Answer:

33.

Step-by-step explanation:

f(x) = -x³ + x² + x.

f(-3) = -(-3)³ + (-3)² + (-3)

= -(-27) + (9) - 3

= 27 + 9 - 3

= 36 - 3

= 33.

Hope this helps!

Answer:

f(x)=-8sin(pi/6x)+2

Step-by-step explanation:

The graph of a sinusoidal function intersects its midline at (0,2) and then has a minimum point at (3,-6) So, the function is f(x) = -8sin(pi/6x)+2.

The sinusoidal function has the following form:

[tex]y = x_0 + A\: sin(w.x+\theta)[/tex]

Where:

A= Amplitude

w = Angular frequency

[tex]x_0[/tex] = Independent component of the midpoint value

[tex]\theta[/tex] = Phase angle

Amplitude is the absolute value of the difference between a dependent component of the midline and the absolute minimum

A = |-6 - 2|

A = 8

[tex]x_0[/tex] = 2

The angular frequency of the function is now determined by substituting all remaining variables and clearing it within the sinusoidal function

[tex]w.x + \theta = \pi / 6[/tex]

The sinusoidal function

f(x) = -8sin(pi/6x)+2

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its 46.

42+8/2

42+4

=46

Answer:

Only May

1.09 Statistical Graphs 1_Optional Quiz

A graph is a way to represent a lot of data in such a visual format. The month in which the average daily cost is less than $2.00 is may only.

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.

In order to know the month in which the average daily cost is less than $2.00, we need to find the dot which is below 2.

Now, if we look at the graph as shown below, the point that will be less than 2 is may.

Hence, the month in which the average daily cost is less than $2.00 is may only.

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