if Sin 3x= Cos (x-60), find the value of x​

Answer: 15 Dogs

Step-by-step explanation:

1.) Set up a ratio!

6 Dogs =    ?

4 Hours    10 Hours

2.) Cross Multiply

6x10=60

60/4= 15

Answer:12 is a common denominator!

Step-by-step explanation:

Answer: 12:35 hrs

Step-by-step explanation:

Marlon watches the lions feed in the morning which was at 11:30.

Each feeding session lasts 20 minutes:

= 11:30 + 20

= 11:50 am

Marlon then walks for three quarters of an hour - 45 minutes - before stopping.

= 11:50 + 45

= 12:35 hrs

Answer:

C)Only III follows

Step-by-step explanation:

Let's review the conclusions;

I. Some proses are songs.

This is false because of the statement; No song is prose.

II. Some epics are lullabies.

This is false because of the following statements; A lullaby is a song. and No song is prose.

III. Some songs are lullabies.

This follows because of the statement; A lullaby is a song.

The correct option is;

C)Only III follows

The correct conclusion based on the logical statements is C) Only III follows.

1. A lullaby is a song.

2. No song is prose.

3. Some proses are epics.

I. Some proses are songs.

II. Some epics are lullabies.

III. Some songs are lullabies.

The first conclusion that some proses are songs is not sound because the earlier claim is that "no song is prose." In the same light, the second conclusion is incorrect because a lullaby is usually a song as asserted in statement 1. While epics can be prose or poem, a lullaby is not prose but a poem or a song.

Thus, the correct conclusion based on the logical statements is C) Only III follows.

Learn more about logical statements and conclusions at https://brainly.com/question/18575348

Answer:

X-6 is less than 3

Step-by-step explanation:

=X-6_3

= 6 >3

Answer:

0.6864 = 68.64% probability out of the 8 new cars it just received that, when each is tested, no more than 2 of the cars have defective radios

Step-by-step explanation:

The cars are chosen without replacement, so the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

48 new cars being shipped to local dealerships, corporate reports indicate that 12 have defective radios installed.

This means that [tex]N = 48, k = 12[/tex]

8 cars received.

This means that [tex]n = 8[/tex]

What is the probability out of the 8 new cars it just received that, when each is tested, no more than 2 of the cars have defective radios

This is

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

In which

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 0) = h(0,48,8,12) = \frac{C_{12,0}*C_{36,8}}{C_{48,8}} = 0.0802[/tex]

[tex]P(X = 1) = h(1,48,8,12) = \frac{C_{12,1}*C_{36,7}}{C_{48,8}} = 0.2655[/tex]

[tex]P(X = 2) = h(2,48,8,12) = \frac{C_{12,2}*C_{36,6}}{C_{48,8}} = 0.3407[/tex]

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0802 + 0.2655 + 0.3407 = 0.6864[/tex]

0.6864 = 68.64% probability out of the 8 new cars it just received that, when each is tested, no more than 2 of the cars have defective radios

Answer and Step-by-step explanation:

With the distributive property, the 8 will distribute itself to the a and the 4, resulting in 8a + 32.

#teamtrees #PAW (Plant And Water)

Answer:

x=5.6  y=4.8

Step-by-step explanation:

Answer:

B. 4(3-y) is the answer

Answer:

1.-179

2.68

3. 11

4. 25

5. -734

Answer:

6.28 hours

Step-by-step explanation:

103880/18.55 = 35168/x

103880x = 652366.4

x = 6.28

6.28 hours or 6 hours 28 minutes

Answer:

x+y = 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

x-5(x-1) = x- (2x-3)​

x  + x *(-5) + (-1) * (-5) = x +  2x*(-1) + (-3)*(-1) {use distributive property}

x - 5x + 5 = x - 2x +3   {Combine like terms}

    -4x + 5 = - x +3           {Add 'x' to both sides}

-4x + 5 + x  = -x + x + 3

       -3x + 5 = 3           {subtract 5 from both sides}

            -3x = 3 - 5

            -3x = -2           {Divide both sides by (-3)}

              x = -2/-3

               x = 2/3

Answer:

So the number of outcomes with exactly 4 tails is 720/2/24 = 15. Finally we can now calculate the probability of getting exactly 4 tails in 6 coin tosses as 15/64 = 0.234 to 3 decimal places

Step-by-step explanation:

hope this helps :)

Answer:2

Step-by-step explanation:

Answer:

just add them

Step-by-step explanation:

Answer:

im pretty sure its y=1/3x

Step-by-step explanation:

rearrange for y to be subject

its perpendicular so then the gradient will be the negative reciprocal (-1 / -3= 1/3) so thats your new gradient

then when you substitute the (3,-1) into that equation get -1=1 + c so then c is 0  and your whole equation is y=1/3x

Answer:

See Explanation

Step-by-step explanation:

Given

The given side lengths are not clear enough:

So, I will give a general explanation.

From the question, we understand WXYZ is dilated to produce W'X'Y'Z

This implies that the sides of WYZY is multiplied by the scale factor (k) to give W'X'Y'Z'

i.e.

[tex]ZW *k =Z'W'[/tex]

Divide both sides by k to get side length ZW

[tex]ZW = \frac{Z'W'}{k}[/tex]

Assume that:

[tex]k = 4[/tex] and

[tex]Z'W' = 28[/tex]

[tex]ZW = \frac{Z'W'}{k}[/tex]

[tex]ZW = \frac{28}{4}[/tex]

[tex]ZW = 7[/tex]

Apply these steps and you will get your answer

Answer:

I need to know how much each bag costs. And how many pounds they are. If you can add that I can give you and answer.

Step-by-step explanation:

Answer: 16%

Step-by-step explanation:

168.2 - 145 = 23.2

23.2/145 = 0.16

0.16 as a percent is 16%

The percentage change of the height is A = 16 %

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage change is the difference between the measured value and the true value , as a percentage of the true value

Percentage change =( (| Measured Value - True Value |) / True Value ) x 100

Given data ,

Christian's height increased by

168.2 - 145 = 23.2 cm

To find the percentage increase, we need to divide the increase by the original height and then multiply by 100:

Percentage increase = (23.2 / 145) x 100%

Percentage increase = 0.16 x 100%

Percentage increase = 16%

Hence , Christian's height increased by 16%

To learn more about percentage click :

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#SPJ3

Answer:

624

Step-by-step explanation:

I hope it helps i did the test  btw <3

Answer:

624

Step-by-step explanation:

I also did that same exact test. K12 right? That is what I go to. Anyway that answer is correct. Your welcome!

Answer:

We need the following translation: [tex]h(x) = g(x) +4[/tex]

Step-by-step explanation:

To transform [tex]g(x)[/tex] into [tex]h(x)[/tex], we need must apply the following translation:

[tex]h(x) = g(x) +4[/tex] (1)

If we know that [tex]g(x) = x^{2} -5[/tex], then the expression of [tex]h(x)[/tex] is:

[tex]h(x) = x^{2}-5 +4[/tex]

[tex]h(x) = x^{2}-1[/tex] (2)

Which demonstrates the affirmation.

Answer:

14

Step-by-step explanation:

-21+-13+20=14

This is true because when subtracting negatives by negatives you pretty much add them and then when you add a positive to a negative you are technically removing the negative by the amount you are adding.

In short its kind of like using inverse operation in a way.

Hope this helps and have a nice day

Also may I please have a brainliest!!!

Answer

there will be 6 on all three pages

Step-by-step explanation:

divide 18 by 3

Answer:

muliply 25 by 4

Step-by-step explanation:

25×4 =100

Answer:

*4

X 4

times it by 4

Step by step explanation:

25 + 25 + 25 + 25 = 100

therefore you added 25 four times so your answer is X by 4

The question is incomplete. Here is the complete question.

To set up a game of billiards, the first player moves the balls contained within a triangular rack as shown. What happens to the distance between each billiard during this rigid transformation?

A. The distance remains constant throughout the transformation.

B. The distance decreases at the start and increases after all motion stops.

C. The distance stays the same at the start but decreasesexactly when motion ends.

D. The distance increases at the start and then decreases as the rack gets further from the player.

Answer: A. The distance remains constant throughout the transformation.

Step-by-step explanation: In a rigid motion, all moving points in the plane are moving in way such tha:

1)  relative distance between them stays the same and

2) relative position of the points stays the same

There are four types of rigid motions: translation, rotation, reflexion and glide reflection.

Translation: every point or object is moved by the same amount and in the same direction;

Rotation: the object rotates by the same amount around a fixed point;

Reflexion: the object exchange points from one side of a line with points on the other side of the line at the same distance from the line;

Glide Reflection: is a mirror reflection followed by a translation parallel to the mirror.

In the game of billiards, because all the balls are inside the triangular rack, the distance, and also the position, between them stays the same, limited by the rack. Since they are moving by the same amount in the same direction, the rigid transformation is a translation.

Therefore, the distance of the balls in the triangular rack remains constant throughout the transformation.