Use the fundamental counting principle to find the total number of possible outcomes.
fitness tracker
battery 1 day, 3 days, 5 days, 7 days
color
silver, green, blue,
pink, black

Answer:

It's 11

Step-by-step explanation:

i took the test

Answer:    11

Step-by-step explanation: I took the test on edge 2020

Answer:

60 in or 5 FT

Step-by-step explanation:

6 x 10 = 60 in

:D

Answer:

Yes, in a Cartesian Coordinate system each point is given by two numbers. If the question is "where" the function has a max or min value, that's "x", the first number in pair. If the question is "what" is that max or min function value, thats "y", the second number in the pair

Answer:

im pretty sure that it is B please correct me if i am wrong:D

Answer:

B. 70°

Step-by-step explanation:

Answer:

  C.  142°

Step-by-step explanation:

You want the angle between vectors u=3i+√3j and v=-2i-5j.

There are a number of ways the angle between the vectors can be found. For example, the dot-product relation can give you the cosine of the angle:

  u•v = |u|·|v|·cos(θ) . . . . . . where θ is the angle of interest

You can find the angles of the vectors individually, and subtract those:

  u = |u|∠α

  v = |v|∠β

  θ = α - β

When the vectors are expressed as complex numbers, the angle between them is the angle of their quotient:

  \(\dfrac{\vec{u}}{\vec{v}}=\dfrac{|\vec{u}|\angle\alpha}{|\vec{v}|\angle\beta}=\dfrac{|\vec{u}|}{|\vec{v}|}\angle(\alpha-\beta)=\dfrac{|\vec{u}|}{|\vec{v}|}\angle\theta\)

This method is used in the calculation shown in the first attachment. The angle between u and v is about 142°.

A graphing program can draw the vectors and measure the angle between them. This is shown in the second attachment.

__

Additional comment

The approach using the quotient of the vectors written as complex numbers is simply computed using a calculator with appropriate complex number functions. There doesn't seem to be any 3D equivalent.

The dot-product relation will work with 3D vectors as well as 2D vectors.

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Answer:

y = 6

Step-by-step explanation:

A line with a slope of zero is a horizontal line parallel to the x- axis with equation

y = c

where c is the value of the y- coordinates the line passes through.

The line passes through (- 5, 6 ) with y- coordinate 6 , then

y = 6 ← equation of line

Answer:

im pretty sure it would be 9 bc there are 3 dif colours and 3 dif finishes and u j count the table

Step-by-step explanation:

Answer:

If you place a number in for x and solve this will help you to find y.

Step-by-step explanation: For example x=0 then we would do 2/3(0) -1= 0-1= y. Then you can go form there to find one of the y;'s then be able to do the other 4. :)

Step-by-step explanation:

The function f(x) = x² - 1/x + 1, with domain [0, ∞), does not have an absolute maximum on its domain, but this does not contradict the extreme value theorem.

The extreme value theorem states that if a real-valued function f is continuous on a closed interval [a, b], then f must have both an absolute maximum and an absolute minimum on that interval.

However, the theorem does not apply to functions that have an open interval as their domain, such as f(x) = x² - 1/x + 1 with a domain of [0, ∞).

In this case, f(x) approaches infinity as x approaches 0, but it does not have a maximum value within the given domain. The lack of an absolute maximum for f(x) on [0, ∞) is consistent with the behavior of the function, and it does not violate the extreme value theorem since the domain is not a closed interval.

Therefore, the function f(x) = x² - 1/x + 1, defined on [0, ∞), lacks an absolute maximum, but this does not violate the extreme value theorem.

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Answer:

7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

3×5-1-(2^2+6÷2)

3×5-1-(4+6÷2)

3×5-1-(4+3)

3×5-1-7

15-1-7

14-7

7

Answer:

Not a direct variation

Explanation:

• The distance to the camp = 200 miles

• The speed at which you are traveling = 50mph

The number of miles, n, that you have left to travel after t hours can be derived using the formula:

Substitute values of t from 1:

Observe that as the value of t increases, the number of miles, n decreases.

Thus, the relationship between n and t is NOT a direct variation.

Answer:

y = x + 9

Step-by-step explanation:

We Know

Sarah threw the javelin 9 inches farther than Kimberly.

Let's y represent the total distance Sarah threw and x is the distance Kimberly threw, we have the equation

y = x + 9

a) No

b) Yes

(a) The message space is M = {10, 9, 8, 7, 6, 5, 4}. Algorithm Gen chooses a uniform key from the key space f0,...,5^. Enck (m) returns k m mod 5], and Deck(c) returns [c -k mod 5].

No, this encryption scheme is not perfectly secret as the key space is finite. The finite number of keys would allow a cryptanalyst to gain knowledge of the plaintext given the ciphertext, thereby making it possible to gain knowledge of the plaintext given the ciphertext.



(b) The message space is M = {m 10. 1}! | the last bit of m is 0} Gen chooses a uniform key from (0, 1 Enck(m) returns cipher- text me(세0), and Deck(c) returns ce(세0).

Yes, this encryption scheme is perfectly secret. The message space is a subset of the key space, which allows the cryptanalyst to not have any knowledge of the plaintext given the ciphertext. The uniformity of the key also ensures that the cryptanalyst cannot distinguish between different ciphertexts, making it perfectly secret.

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The statement that is not true of the test data approach in a test of a computerized accounting system is B) Test data should consist of data related to all controls prevalent in the organization.

This statement is incorrect because the test data approach aims to test specific controls that the auditor wishes to rely on rather than all controls prevalent in the organization. The test data approach involves the creation of a set of test transactions that are processed by the client's computer program under the auditor's control.

The results of the test data are used to determine whether the application and general controls are functioning properly. By using this approach, the auditor can gain assurance that the system is functioning as intended and identify any control weaknesses that need to be addressed.

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Answer:

one abbreviation used below triangle = tr

Step-by-step explanation:

16]  as tr ABC is congruent to tr DEF

      which means that AB= DE BC=EF AC=DF

   acc to given 6 in there in both

8 is there and 9 in other so in which 9 is not there the unknown value there has to be 9 which means x = 9

in triangle, DEF 8 is not there so x-1=8 ---->x=9

17] Similarly in this one 3 and 14 are sides of tr ABC and tr DEF only side is known which is 13 so the unknown side in tr ABC has to be 13

       x+1=13 -----> x = 12

in tr, DEF 2 sides are unknown which has to be 3 and 14

    so 2 cases will become either x-9= 3 or x-9=14

           x-9=3                x-9=14

            x=12                 x=23

18] In this the given known values of sides of both the tr's is same

     so it will become

                               2x+1=3x-9

                                9+1 = 3x-2x

                       -----> x=10

19] in this one only 1 of the known values is same so in tr ABC the unknown has to 28 and the unknown in tr DEF has to be 19

        5x-2 = 28                               4-y=19      

        5x= 30                                   y= 4-19

        x=6                                         y = -15

I hope this helps

I am not confirm whether my answer is correct or not but i tried my best

thanks

Answer:

4³, 8², and 2⁶ are all equivalent to 64¹

Answer:

A, C, F

Step-by-step explanation:

A. 4 x 4 x 416 x 4= 64

C. 8 x 8 = 64

F. 2x2=4x2= 8x2=16x2=32 x 2= 64

Answer:

Use the slope-intercept form  y = m

x + b  to find the slope  m .

m = 5

Step-by-step explanation:

Answer:

Slope is 5

Step-by-step explanation:

The 3rd option where it's at (-2,0) and going down.

Answer:

third one(from left) in first row

Step-by-step explanation:

-|x| is same as ^ and f(0)=-2

The function y = -16t^2 + 32t represents the height, in feet, of a rugby ball t seconds after it is kicked off the ground. The function is in the form of a quadratic equation and can be used to determine the height of the ball at any given time during its flight.

The given function, y = -16t^2 + 32t, represents a quadratic equation in the form of y = ax^2 + bx + c, where a = -16, b = 32, and c = 0. In this context, t represents the time in seconds, and y represents the height of the rugby ball in feet.

The quadratic equation models the trajectory of the rugby ball as it moves through the air. The term -16t^2 represents the effect of gravity on the ball's height, causing it to decrease over time. The term 32t represents the initial upward velocity of the ball, causing it to rise initially. The constant term c is 0 in this case, indicating that the ball was kicked from the ground.

By substituting different values of t into the equation, you can calculate the height of the rugby ball at different points in time. For example, if you substitute t = 1, you can find the height of the ball after 1 second. Similarly, by solving the equation for y = 0, you can determine the time at which the ball reaches its maximum height or when it hits the ground.

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Answer:

1.88261%

Step-by-step explanation:

Use the formula (E - T) / |T| * 100

(92 - 90.3) / |90.3| * 100

1.7 / 90.3 * 100

0.0188261 * 100

And you get a 1.88261 percent error :)

Answer:

5

Step-by-step explanation:

20/4=5

Answer: x=5

Step-by-step explanation:

4x=20

divide by 4 on each side to cancel it out

x=5

The correct explanation is (4). The spinner is likely fair, since in the output the player wins once or twice in the majority of the simulations.

The spinner is considered fair if the probability of winning each spin is 0.1, which means that the player should win about 1 out of every 10 spins. The output of the simulation shows that in the majority of the simulations, the player won once or twice, which is consistent with the expected probability of winning.

The fact that Miles lost all 10 times when he spun the spinner is just a matter of chance. It is possible to lose 10 times in a row even if the spinner is fair. In fact, the probability of losing 10 times in a row is about 0.1%, which is not very likely, but it is still possible.

Therefore, there is no evidence to suggest that the spinner is unfair. It is more likely that Miles simply lost due to chance.

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The inverse of the function (1/2)^x/3

Given function,

y = 3\(log_{1/2}\) x

Now,

y = 3\(log_{1/2}\) x

Let y = f(x)

then,

x = \(f^{-1} (y)\)

Now put \(f^{-1} (y)\) in the place of x,

y = 3\(log_{1/2}\) \(f^{-1} (y)\)

Simplifying,

y/3 = \(log_{1/2} f^{-1} (y)\)

\(f^{-1} (y) = 1/2^{y/3}\\\)

Replace y variable with x,

\(f^{-1} (x)\) = \((1/2)^{x/3}\)

Hence the inverse of function is \((1/2)^{x/3}\) .

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walking = biking + 1.5 hour

biking speed = 9 mph + walking speed

route = 6 miles

6/w = 6/(w + 9) - 3/2

Solving for w:

108 = -3w^2 - 27w ==> 3w^2 + 27w + 108 = 0 ==> x^2 + 9x + 36 = 0

Answer:

\(\Large \boxed{\sf\ \ (0,-9) \ \ }\)

Step-by-step explanation:

Hello,

We know that when the parabola equation is

   \(y=a(x-h)^2+k\)

the vertex is (h,k) and the focus is

   \((h,k+\dfrac{1}{4a})\)

Here, the equation is

   \(y=-\dfrac{1}{12}x^2-6\)

so

   \(a=-\dfrac{1}{12}\\\\h = 0\\\\k =-6\)

So,

\(k+\dfrac{1}{4a}=-6-\dfrac{12}{4}=-6-3=-9\)

Then, the focus is

\(\large \boxed{\sf\ \ (0,-9) \ \ }\)

I attached the graph, included the focus so that you can see it :-)

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

The sides of the triangle are 5√2 , 5√2 and 10.

A triangle is a polygon with three sides , three vertices and three angles , When one angle is equal to 90 degree , it is called a Right Angled Triangle.

It is given that two angles given is 45 and 45 degree each so by using trigonometric ratios the sides can be calculated.

From the data given in the image

sin 45 ° = 5√2 / x

x = 5√2 / sin 45°

x = 10

The hypotenuse = 10

From The Pythagoras theorem

10² = (5√2)² + y²

y = (5√2) unit

Therefore the sides are 5√2 , 5√2 and 10.

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Answer:top bar is 34

bottm 17/3

Step-by-step explanation: