Which situation is a result of focal policy
O A A Corporationis fines for violating regulations.
3. A school gets more money to buy computers,
O C. A bank offers a loan to a small business.
D. A consume hes limites options for food at a store

Answer:

-47

Step-by-step explanation:

I simplified it and I hope its correct :)

The difference between the interquartile range of Matt's remaining vacation days an Linda's remaining vacation days is given as follows:

-3.5.

The interquartile range of a data-set is given by the difference of the third quartile by the first quartile of the data-set.

Matt's ordered data-set is given as follows:

5, 9, 11, 12.

Hence the quartiles are:

Hence the IQR is of:

IQR = 11.5 - 7 = 4.5.

Linda's ordered data-set is given as follows:

0, 6, 9, 13.

The quartiles aret

The IQR is of:

IQR = 11 - 3 = 8.

Hence the difference is of:

4.5 - 8 = -3.5.

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The graph of the function for values of x ranging from -6 to +6 is shown below.

From the question, we are to graph the given quadratic function

The given quadratic function is

f(x) = x² + 3x − 4

The graph of the function for values of x ranging from -6 to +6 is shown below.

The table of values are

x       f(x)

-6      14

-5      16

-4      0

-3      -4

-2      -6

-1      -6

0      -4

1        0

2       6

3       14

4      24

5      36

6      50

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Answer: B

Step-by-step explanation:

The vertical asymptotes are at x=-4 and x=1, so the denominator needs to have factors of (x+4) and (x-1).

This eliminates everything except for B.

Answer:

False

Step-by-step explanation:

Each f(x) increases by 8 therefore this equation is a linear function. If you where to graph it would be a straight line

Hope this helped :)

Answer:

False

Step-by-step explanation:

The slope is the same between all pounts which means the function is linear.

Hope this helps!

Using the concept of probability and the arrangements formula, there is a  

0.002 = 0.2% probability that the first 8 people in line are teachers.

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

The number of possible arrangements from a set of n elements is given by:

\(A_n = n!\)

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

The desired outcomes are:

Thus, \(D = 8! \times 4!\)

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

For the total outcomes, number of arrangements of 12 people, thus:

\(T = 12!\)

The probability is:

\(p = \frac{D}{T} = \frac{8! \times 4!}{12!} = 0.002\)

0.002 = 0.2% probability that the first 8 people in line are teachers.

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Answer:

63 m/s

Step-by-step explanation:

h(3) = 3(3)² + 36(3) + 300 = 435

h(6) = 3(6)² + 36(6) + 300 = 624

v = Δh/Δt = (624m - 435m) / (6s - 3s) = 63 m/s

9514 1404 393

Answer:

 1200 ounces

Step-by-step explanation:

Let x represent the weight of 30% copper that needs to be added to the mix. Then the total weight will be (600+x) ounces, and the amount of copper in the mix is ...

  0.30x +0.60(600) = 0.40(600 +x)

  0.3x +360 = 240 +0.4x . . . . . simplify

  120 = 0.1x . . . . . . . . . . . . . subtract 0.3x+240

  1200 = x . . . . . . . . . . multiply by 10

1200 ounces of 30% copper should be added to the mix.

Answer:

8.604 in.

Step-by-step explanation:

We can use the formula for compound interest to find the height of domino #9:

A = P(1 + r)^n

where A is the final amount, P is the initial amount, r is the growth rate, and n is the number of compounding periods. In this case, P is the height of domino #0, r is 15% or 0.15, and n is 9 (since we want to find the height of domino #9).

Substituting the given values:

A = 3.00 in * (1 + 0.15)^9

Simplifying:

A = 3.00 in * 2.86797199

A ≈ 8.604 in

Therefore, the height of domino #9 is approximately 8.604 inches.

I believe that it’s 6x^2 - 2x + 12/x^2

The simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

To simplify the expression √([2m5z6]/[xy]), we can break it down step by step:

Simplify the numerator:

√(2m5z6) = √(2) * √(m) * √(5) * √(z) * √(6)

= √2m√5z√6

Simplify the denominator:

√(xy) = √(x) * √(y)

Combine the numerator and denominator:

√([2m5z6]/[xy]) = (√2m√5z√6) / (√x√y)

Thus, the simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

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Hope he's got a satisfying teaching career.

The statement about the linear equation 3a + 1/3(6a −9) = 1/2(10a − 6) that is true is: "The equation has an infinite number of solutions." (Option B)

A linear equation is defined as an equation with a maximum of one degree. A nonlinear equation is one with a degree greater than or equal to two.

On the graph, a linear equation looks like a straight line. On the graph, a nonlinear equation creates a curve.

To justify the above answer, we state the linear equation above:


3a + 1/3(6a −9) = 1/2(10a − 6) ; Simplified by opening the brackets, we have

3a + 2a − 3 = 5a − 3; collecting like terms on the left side, we have

5a -3 = 5a -3

Because 5a -3 = 5a -3, the expression holds true regardless of what integer or value a represents. Hence, it has an infinite number of solutions.

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The answer is choice D because we plug in something like x = pi/4 and it leads to

y = cos(2x)

y = cos(2*pi/4)

y = cos(pi/2)

y = 0

Use the unit circle to see why cos(pi/2) = 0.

Since we get y = 0 as a result, this shows x = pi/4 is one of the x intercepts.

You'll also get y = 0 if you plug in x = 3pi/4, x = 5pi/4, and x = 7pi/4. All of these values are on the interval \(0 \le x < 2\pi\)

The solution of the equation y = cos(2x) will be π/4, 3π/2, 5π/4, and 7π/4. Then the correct option is D.

A solution to an equation is a number that can be plugged in for the variable to make a true number statement.

The equation is given below.

y = cos(2x)

The x-intercept of the equation in the interval 0 ≤ x < 2π will be given as,

y = 0

cos(2x) = 0

cos 2x = cos (n + 1) π/2

2x = (n + 1)π / 2

x = (n + 1)π / 4

x = π/4, 3π/2, 5π/4, 7π/4

The solution of the equation y = cos(2x) will be π/4, 3π/2, 5π/4, and 7π/4. Then the correct option is D.

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Answer: 2a < 2b

Step-by-step explanation:

We are given a statement:

a < b and b < c, then 2a ____ 2b

We can use simple numbers that make the statement true.

Where,

a = 2

b = 3

c = 4

Now lets plug it in.

2 < 3 and 3 < 4, then 2(2) ____ 2(3)

and lets simplify:

2 < 3 and 3 < 4, then 4 ____ 6

We can see that 4 is less than 6,

so as a is less than b, 2a is less than 2b.

The only thing changing is the coefficient being multiplied by the variables a and b.

Answer:

Kent is 34 and Robert is 44 I'm not sure tho hope it helps

Answer:

Robert is 17 years old

Kent is 13 years old

Step-by-step explanation:

Alright, let's say that Robert is X years old, and Kent is X - 5 Years old, since he is 5 years younger. Since their ages together add up 39 years old, set these values next to one another.

x + x + 5 = 39

Add Like Terms

2x + 5 = 39

Cancel out the 5

2x = 34

Divide by 2

x = 17

With this, x is 17. This means that Robert is 17 years old since his age was x. With Kent he is 13 years old since 17 - 5 = 13.

Answer:

a.

Step-by-step explanation:

it is not clear what your teacher discussed and wants from you here.

formally, all triangles are similar, as the description says. and the sequence of the vertexes in the "name" does not make any difference in identifying the triangle. this would be only important when identifying a specific angle (the center letter). in other words : a triangle is identified by naming its three corners in any sequence. simply because for the similarity concern you can twist and turn the triangle until it has the same orientation as the other triangle to compare.

so, again, a very strange question from your teacher. many greetings from me.

as explained, formally all 4 statements are correct.

but in order to identify one, it has to be a.

because the sequence of the corners are the same.

in QTS the side QT (the shortest of the 3 sides) is named first. and TS (the longest of the 3 sides) is named last.

in PQT we have the same sequence. PQ is the shortest side first, and QT is the longest side last.

no other answer option has the same sequence on the left and the right side.

but again, this is actually irrelevant for the similarity relation.

e.g. triangle RQS = triangle SQR, they are just twisted and turned images of the same triangle.

Answer:

A. Sine Y = 20 / 29

B. Cos Y = 21 / 29

C. Tan Y = 20 / 21

D. Sine Z = 21 / 29

E. Cos Z = 20 / 29

F. Tan Z = 21 / 20

Step-by-step explanation:

A. Determination of Sine Y

Opposite = 20

Hypothenus = 29

Sine Y =?

Sine Y = Opposite / Hypothenus

Sine Y = 20 / 29

B. Determination of Cos Y

Adjacent = 21

Hypothenus = 29

Cos Y =?

Cos Y = Adjacent / Hypothenus

Cos Y = 21 / 29

C. Determination of Tan Y

Opposite = 20

Adjacent = 21

Tan Y =?

Tan Y = Opposite / Adjacent

Tan Y = 20 / 21

D. Determination of Sine Z

Opposite = 21

Hypothenus = 29

Sine Z =?

Sine Z = Opposite / Hypothenus

Sine Z = 21 / 29

E. Determination of Cos Z

Adjacent = 20

Hypothenus = 29

Cos Z =?

Cos Z = Adjacent / Hypothenus

Cos Z = 20 / 29

Determination of Tan Z

Opposite = 21

Adjacent = 20

Tan Z =?

Tan Z = Opposite / Adjacent

Tan Z = 21 / 20

1. B.

2. C.

3. A.

4. C.

The total probability of the Captain hitting the pirate ship, the pirate hitting the Captain's ship, or both events happening is 23/35

Based on the given information, Captain Umaima has a probability of 3/7 of hitting the pirate ship, while the pirate Nadia has a probability of 2/5  of hitting the Captain's ship.

To calculate the probability of different outcomes, let's consider the following scenarios:

The Captain hits the pirate ship, and the pirate hits the Captain's ship:

The probability of the Captain hitting the pirate ship is 3/7

The probability of the pirate hitting the Captain's ship is 2/5.

To find the probability of both events happening, we multiply the individual probabilities:

3/7×2/5=6/35

The Captain hits the pirate ship, but the pirate misses the Captain's ship:

The probability of the Captain hitting the pirate ship is 3/7​.

The probability of the pirate missing the Captain's ship is 1−2/5=3/5.

(Since the pirate's probability of hitting is 2/5, the probability of missing is 1− 2/5.)

The probability of this scenario, we multiply the individual probabilities:

3/7×3/5=9/35.

The Captain misses the pirate ship, but the pirate hits the Captain's ship:

The probability of the Captain missing the pirate ship is 1−3/7=4/7.

(Since the Captain's probability of hitting is 3/7 , the probability of missing is 1-3/7.)

The probability of the pirate hitting the Captain's ship is 2/5

To find the probability of this scenario, we multiply the individual probabilities:

4/7×2/5=8/35

These three scenarios represent all possible outcomes when considering the Captain and the pirate's actions.

The sum of the probabilities of these scenarios should be equal to 1:

6/35+ 9/35+ 8/35= 23/35

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Answer:

We use the rule,

\((a^b)^c = a^{bc}\)

a. (10^7)²

\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)

10^14

b. (10^9)³

\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)

10^27

c. (10^6)³

\(10^{(6)(3)}= 10^{18}\)

10^18

d. (10^2)³

\(10^{(2)(3)} = 10^{6}\)

10^6

e. (10³)²

\(10^{(3)(2)}=10^{6}\)

10^6

f. (10^5)^7

\(10^{(5)(7)} = 10^{35}\)

10^35

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

\(\textit{surface area of a sphere}\\\\ SA=4\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=4 \end{cases}\implies SA=4\pi (4)^2\implies SA\approx 201.1~in^2 \\\\[-0.35em] ~\dotfill\\\\ \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=4 \end{cases}\implies V=\cfrac{4\pi (4)^3}{3}\implies V\approx 268.1~in^3\)

Answer:

3

Step-by-step explanation:
Just do inverse:

27-7=20

20+16=36

36÷3=12

12-9=3
To check:

3+9=12

12×3=36

36-16=20

20+7=27

✅

Answer:

It should be 3.

Step-by-step explanation:

27-7=20+16=36÷3=12-9=3

Answer:

1) 24

2) 20.8

3) 14.7

Step-by-step explanation:

1) use pythagorean theorem

a^2 + b^2 = c^2 (a and b are the bases, c is the hypotenuse)

a = ?, b = 10, c = 26

a^2 + 10^2 = 26^2 ... (substitute the given values)

a^2 + 100 = 676 ... (find the square of 10 and 26)

a^2 = 576  ... (subtract 100 from both sides)

a = 24  ... (square root both sides)

2) use pythagorean theorem

a^2 + b^2 = c^2 (a and b are the bases, c is the hypotenuse)

a = 12, b = b, c = 24

12^2 + b^2 = 24^2 ... (substitute the given values)

144 + b^2 = 576 ... (find the square of 12 and 24)

a^2 = 432 ... (subtract 144 from both sides)

a ≈ 20.8 ... (square root both sides)

3) use pythagorean theorem

a^2 + b^2 = c^2 (a and b are the bases, c is the hypotenuse)

a = x, b = 15, c = 21

x^2 + 15^2 = 21^2 ... (substitute the given values)

x^2 + 225 = 441 ... (find the square of 15 and 21)

x^2 = 216 ... (subtract 225 from both sides)

x ≈ 14.7 ... (square root both sides)

Answer:

Step-by-step explanation:Let the unknown side of the triangle be represented by x

Therefore,

using pythagoras  theorem,

26 square=10 square+x square

676=100+x square

676-100=x square

x square=576

x=24

According to the statement, the Ship must move at an average pace of 150 meters per hour.

The variable under examination is lessened when the gradient is "downhill" (negative). When used as a gauge of how well things are doing, "downhill" denotes a downward trend. Yet, if this indicates trouble or some other unpleasant quality, the situation is improving.

The chess player Carissa walks very, very slowly. She actually moves at speeds of 100 meters per hr upward, 150 meters per hr on flat terrain, and 200 meters every hour on downhill terrain.

Here,

Carissa traverses Boston on foot from a coffeehouse to a boba store before returning over the same path.

Total distance walked = 2 [200 + 100 + 150] = 900 meter

Total time = 2 [1 + 1 + 1] = 6 hour

Average speed is calculated as distance divided by time (900 / 6 = 150 m/s),

As a result, the needed Carissa average speed is 150 meters per hr.

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Answer:

y=4/3x-1/3

Step-by-step explanation:

They marked it up to 2979 since 993*3(aka 200%). You then multiply 2979 by 1.14 to get the total of $3396.06

Answer:

$3396.06

Step-by-step explanation:

Markup is what a store adds to the price they paid in order to come up with a selling price.

store selling price = cost to store + markup

Store purchase price: $993

Store markup of 200%: 200% of $993 = 2 × $993 = $1986

Store selling price: $993 + $1986 = $2979

14% tax: 14% of $2979 = 0.14 × $2979 = $417.06

Total selling price including markup & sales tax: $2979 + $417.06 = $3396.06

Answer: $3396.06

The distance between city a and city b is square root {(x_2 - x_1)^2 + (y_2 - y_1)^2} where (x_1, y_1) is city a coordinates and  (x_2, y_2) is city b coordinates.

Given,

Two cities a and b are mapoed on the coordinate plane.

We need to find the distance between them.

One point has (a,b) coordinates.

The other point has (c,d) coordinates.

The distance between them is given by:

square root {(c-a)^2 + (d-b)^2}

Let,

City a has (x_1, y_1) coordinates.

City b has (x_2, y_2) coordinates.

Find the distance between city a and city b.

Distance = square root {(x_2 - x_1)^2 + (y_2 - y_1)^2}

Thus the distance between city a and city b is square root {(x_2 - x_1)^2 + (y_2 - y_1)^2} where (x_1, y_1) is city a coordinates and (x_2, y_2) is city b coordinates.

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