Your literature class will read 4 novels this year, chosen by class vote from a list of 7 possible books offered by the teacher.
a) How many different ways could the course unfold, given that it probably matters what order you read the books in?
b) How many different choices of books could the class make?
a) The number of different ways the course could unfold is

Answer:

Step-by-step explanation:

The solution is, resulting matrix:[tex]\left[\begin{array}{ccc}4&-1&-4\\-4&6&2\\0&8&10\end{array}\right][/tex][tex]\left[\begin{array}{ccc}-7\\-4\\22\end{array}\right][/tex].

In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object. For example, is a matrix with two rows and three columns.

here, we have,

given that,

We are given a matrix,

Let A=[tex]\left[\begin{array}{ccc}4&-1&-4\\-4&6&2\\8&-4&6\end{array}\right][/tex]

and B=[tex]\left[\begin{array}{ccc}-7\\-4\\30\end{array}\right][/tex]

We have to find the resulting matrix after performing given row operations

2R2 +R3 ⇒ R3

Apply

we get,

:A=[tex]\left[\begin{array}{ccc}4&-1&-4\\-4&6&2\\0&8&10\end{array}\right][/tex]

and, B=[tex]\left[\begin{array}{ccc}-7\\-4\\22\end{array}\right][/tex]

Hence, resulting matrix

[tex]\left[\begin{array}{ccc}4&-1&-4\\-4&6&2\\0&8&10\end{array}\right][/tex][tex]\left[\begin{array}{ccc}-7\\-4\\22\end{array}\right][/tex]

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Answer:

-6 because -6 times -6 is a positive 36 negative times negative is positive

Step-by-step explanation:

Answer:

x = -6

Step-by-step explanation:

Okay so basically. The "-6" and the fact that the answer is a positive number shows that X must be a negative number. So let us set "-6" as a positive number. Divide 36 by 6 and the answer is = 6. Add a negative sign and X is -6.

Answer: experimental

Step-by-step explanation:

In a research design such as the one described in the scenario above, participants are separated into two distinct groups. The hypothesis (if swimming with paddles is faster than without paddles) being tested is applied on one of the two groups while the other group remains as before. Hence, the group which receives the treatment which is to be tested (those who swim with paddles) are called the experimental group. The other group of participants who continue to swim without paddles are the control group.

Hence, the other group of three member who were asked to swim with paddles for two weeks are the experimental group because they are the ones who received the actual treatment in the experiment.

Answer:

x=2, And i think the 2nd one is reflexive

Step-by-step explanation:

Answer:

Step-by-step explanation:

D

Answer:

C

Step-by-step explanation:

I took the quiz and got it correct

Answer:

90 pairs

Step-by-step explanation:

We can use clues from the problem in order to set up our inequality.

First, we know that a pair of earrings, [tex]p[/tex], costs $8.50. So, we can say that [tex]8.5p=[/tex] total profit.

That's a function we could use, but we need an inequality. Well, it says that Stephanie wants to make no less, or at least $765. This indicates that we need the 'greater than or equal to' symbol. Just replace the equal sign:

[tex]8.5p\geq 765[/tex]

Now we can isolate [tex]p[/tex] to find how many earrings she needs to sell to make a profit of at least $765.

[tex]8.5p\geq 765\\\\p\geq \frac{765}{8.5}\\\\p\geq 90[/tex]

Stephanie needs to sell at least 90 pairs of earrings.

Hope this helps!

Answer:

C

Step-by-step explanation:

No, because you can not use the same X more than once. It has to pass the vertical line test.  So it'll be option C

Answer: P = 0.5 *(12)^3 = 864 kW

Step-by-step explanation:

We calculate the power as follows:

P=C*v^3,

where C = constant and v is the velocity,

lets find the C first, from the given conditions

P = C*v^3

500= C(10)^3

C=500/(10)^3 = 0.5

If a turbine generates 500 kW in a 10 m/s wind, then 864 KW power does it generate in a 12 m/s wind

Power is the amount of energy transferred or converted per unit time.

Given,

The power P (in kilowatts) generated by a wind turbine varies directly as the cube of the wind speed v

P = kv³

Where k is the proportionality constant.

If a turbine generates 500kW in a 10m/s wind, we need to find how much power does it generate in 12m/s wind

first solve the proportionality constant k

500 = k (10³)

k = 500 / 10³= 0.5

so when v = 12 m/s

P = 0.5(12³)

p = 864 kW

Hence 864 kW  is the power generated by a 12 m/s wind.

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Based on the corresponding angles theorem, m<TUW = 127°.

If two angles on two parallel lines that are cut across by a transversal are corresponding to each other, the corresponding angles theorem states that they are congruent to each other.

Given:

m<QRU = 127

Angles QRU and TUW are corresponding angles. Therefore:

m<TUW = m<QRU = 127° [corresponding angles theorem]

m<TUW = 127°

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Answer:

Step-by-step explanation:

Given

Perpendicular line has negative reciprocal slope, so the slope is -1

The line in slope-intercept form is:

Using the given point, finding the y-intercept:

So the Werewolf's equation is:

Answer:

Z is 66. If you want an explanation, I could give it to you, FYI.

Answer:

x=66°

Step-by-step explanation:

Solve for x:

If the two vertical lines are parallel, then the given angles are same side interior angles that are supplementary angles. This means that their values add up to 180°:

∠1+∠2=180°

Substitute known values:

[tex]x+114=180[/tex]

Subtract 114 from both sides to isolate x:

[tex]x+114-114=180-114\\\\x=66[/tex]

The value of x is 66°.

:Done

Answer:

what are the numbers shown?

Answer:

C. I think I'm not sure

Step-by-step explanation:

Answer:

$60

Step-by-step explanation:

48/4=12

12*8=60.

So you'd pay 60 dollars for 8 movie tickets. ^^

Answer:

Radius is half the diameter of a circle

Step-by-step explanation:

If the diameter was 6, then the radius is 3

Answer:

4.99 divided by 18

0.277222222

Rounded to $0.28

Answer:

5

Step-by-step explanation:

Answer:

Fraction

Step-by-step explanation:

Tell me if im wrong

Answer

in this case its a fraction

Step-by-step explanation:

the give away in this question is that it says part of a whole. this just means what amount of the whole. for example 1/2

pls mark brainleist

Answer:

B

Step-by-step explanation:

Answer:

yeah watch my hero academy One punch man n Naruto also Dragon Ball Z

Answer:

It’s not really an amine but avatar the last airbender

Step-by-step explanation:

Attack on titan

One punch man

the devils a part-timer

Answer:

I think it is -1

Step-by-step explanation:

Simplify the problem first.

Let's start with the numerator.

FYI, this, ^, means raised to the power of.

4^3 = 64

-12 + 2^2 = -12 +4 which equals -8

64/-8 = -8

Now simplify the denominator.

(2*3)^2 = 6^2 which equals 36.

-5*2*3 = -10*3 which equals -30

Then add the 2 to the end.

36 + (-30) + 2 = 6 + 2 which equals 8. This is the denominator.

Your fraction now is:

-8/8

Simplify this and you will get -1 as the simplest form.

Please forgive me if this is incorrect.

9514 1404 393

Answer:

  -1

Step-by-step explanation:

A suitable calculator can find the value for you.

  [tex]\dfrac{4^3/(-12+2^2)}{(2\times3)^2+(-5\times2\times3)+2}=\dfrac{64/(-12+4)}{6^2+(-5\times2\times3)+2}=\dfrac{64/(-12+4)}{36+(-5\times2\times3)+2}\\\\=\dfrac{64/(-8)}{36+(-30)+2}=\dfrac{-8}{6+2}=\boxed{-1}[/tex]

Answer:

Hello!

Step-by-step explanation:

Ok so for X-y> -3, there are no solutions and for 2x + y<6, there are also no solutions. Hope this helped!

Hello There this is your answer

and hope you a GREAT Thanksgiving :)

F ( X ) = 9

Answer:

We rotate the point counterclockwise by an angle θ = tan⁻¹ (y/x)

Step-by-step explanation:

If we have the point (x, y), its reflection along the x-axis (x,-y). The reflection of the point (x, -y) along the y - axis is (-x, -y). So, the angle between the initial point (x, y) and the final point (-x, -y) is θ = tan⁻¹ [(-y - y)/(- x -x)] = tan⁻¹ [(-2y/(-2x)] =  tan⁻¹(y/x).

So, the point (x, y) is rotated counterclockwise by an angle of  θ = tan⁻¹ (y/x) to perform both reflections.

Answer:

-72

Step-by-step explanation:

-6*+12=-72

because - x + = -

Answer:

-72

Step-by-step explanation:

6×-12

-72 (because a×-a=-a)

Answer:

Please check the explanation!

Step-by-step explanation:

Important factors to remember regarding the like terms:

Question 7

Given the terms

2b     b⁶     b     x⁴     3b⁶     2x²

From the list of terms, there are two groups of like terms which are:

2b     b       (Like terms containing the variable b)

b⁶      3b⁶    (Like terms containing the variable b with the same exponents)

Question 8

Given the terms

6     2n     3n²     3m²     n/4     7

From the list of terms, there is one group of like terms which are:

6     7       (Constants Like terms)

2n    n/4   (The terms with the same variable n)

Question 9

Given the terms

10k²      m     3³     p/6     2m

From the list of terms, there are there is one group of like terms which are:

m     2m     (The terms withe same variable m)

Question 10

Given the terms

6³      y³     3y²     6²     y      5y³

From the list of terms, there are two groups of like terms which are:

y³    5y³     (The terms withe same variable m and exponent)

6³     6²      (Constant like terms. Plz don't confuse the power as all are the same constant terms)