On June 19, NoteQuest Inc. instituted a 3-for-2 split. At that time Keisha owned 205 shares of that stock. The price per share was
$33.99. After the split, Keisha received a check for a fractional part of a share. What was the amount of that check?

Answer:

yes

Step-by-step explanation:

because if you flip on top of the other they fit together

Answer:

fax they are fr fr

Step-by-step explanation:

they have the same angles and everything just because something is flipped doesn't mean that it is a different object

it would be 13.96 for the volume

Answer:

5280

Step-by-step explanation:

Answer:

There are 5,280 feet in a mile.

Answer:

6 because if you can see 12 divided by 2 is 6

Answer:

Option (A)

Step-by-step explanation:

Parent function (in red) graph is represented by,

f(x) = x²

If this function is translated by 'a' units to the right, rule to be followed,

f(x) → f(x - a)

If the parent function is shifted by 4 units to the right (blue graph), the new function will be,

g(x) = f(x - 4)

g(x) = (x - 4)²

Therefore, Option (A) will be the correct option.

Answer:

In the short run, the relationship among the three cost curves shows that as output increases, total variable cost increases, total cost increases at an increasing rate, while total fixed cost remains constant.

1. Total Fixed Cost (TFC):

Total fixed cost remains constant regardless of the level of output. It represents the cost that a firm incurs even when it produces zero units of output. In graphical representation, the TFC curve is a horizontal line parallel to the x-axis. It indicates that fixed costs do not change with changes in output.

2. Total Variable Cost (TVC):

Total variable cost varies with the level of output. It represents the cost associated with variable factors of production, such as labor and raw materials, which change as production levels change. As output increases, TVC also increases. In graphical representation, the TVC curve slopes upward, indicating that variable costs increase with higher levels of output.

3. Total Cost (TC):

Total cost is the sum of total fixed cost and total variable cost. It represents the overall cost incurred by the firm at different levels of output. The TC curve is obtained by adding the TFC and TVC curves together. In graphical representation, the TC curve starts from the same point as the TFC curve (since TFC is constant) and then slopes upward at an increasing rate due to the upward slope of the TVC curve.

The relationship among these three cost curves can be summarized as follows:

- TFC remains constant and does not change with changes in output.

- TVC increases with higher levels of output.

- TC is the sum of TFC and TVC, and its rate of increase is steeper than the TVC curve.

This relationship can be illustrated using a diagram:

```

     |                /|

     |               / |

     |              /  |

Cost  |             /   |

     |            /    |

     |           /     |

     |          /      |

     |         /       |

     |________/________|

         Output

```

In the diagram, the horizontal line represents TFC, the upward-sloping line represents TVC, and the steeper line represents TC. As output increases, TVC increases, and the gap between the TC and TVC curves widens. This is because TC includes both fixed and variable costs, and as output increases, variable costs contribute more to the total cost.

Therefore, in the short run, the relationship among the three cost curves shows that as output increases, total variable cost increases, total cost increases at an increasing rate, while total fixed cost remains constant.

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Answer: The first one

Step-by-step explanation:

Answer:

its the second one

Step-by-step explanation:

Answer:

I believe the answer is 90

Step-by-step explanation:

Answer:

90 degrees

Step-by-step explanation:

Calculate whether an angle is 90 degrees using the Pythagorean Theorem. This well-known theorem is often phrased as "A squared plus B squared equals C squared," which indicates that the sum of the squares of lengths of the adjacent sides of a right triangle is equal to the square of the length of the hypotenuse side.

The given expression \(f(x) = -3(\dfrac{3}{2})^x+2\) is showing exponential decay.

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.

Given that the expression is,

\(f(x) = -3(\dfrac{3}{2})^x+2\)

At the different values of x, the overall value of the function is decreasing.

\(f(x) = -3(\dfrac{3}{2})^x+2\)

F(1) = -3 x 1.5 + 2

F(1) = -2.5

F(2) = -3 x(1.5)² + 2

F(2) = -6.75 + 2

F(2) = -4.75

Therefore, the function is showing exponential decay.

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Identification of each example as a discrete random variable or a continuous random variable is shown below.

To identify each example as a discrete random variable or a continuous random variable:

(A)  Average price of gas → continuous random variable.

(B) Car's speed → continuous random variable.

(C) Number of cars → discrete random variable.

(D) Number of phone calls → discrete random variable.

(E) Salaries → discrete random variable.

Therefore, the identification of each example as a discrete random variable or a continuous random variable is shown.

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The given limit expression can be written as a definite integral on the interval [-2, 2]. Here's the conversion: lim (n→∞) Σ (SCi + 3) Δxi, i = 1 to n, on the interval [-2, 2] As a definite integral, it becomes: ∫[-2, 2] (SCx + 3) dx

The limit can be written as the definite integral on the interval [-2, 2] of the function (x+3) with respect to x, where ci is any point in the ith subinterval.

In other words, lim Σ (SCi + 3) Δxi [-2, 2] ||Δ|| →0 i = 1 can be rewritten as lim Σ f(ci) Δxi [-2, 2] ||Δ|| →0 i = 1 where f(x) = x+3, and Δx = (b-a)/n = (2-(-2))/n = 4/n.

Then, we can use the definition of the definite integral to find that ∫[-2, 2] f(x) dx = ∫[-2, 2] (x+3) dx = [x^2/2 + 3x]_(-2)^2 = (4+6) - (-2-6) = 12.

Thus, the limit can be written as lim Σ (SCi + 3) Δxi [-2, 2] ||Δ|| →0 i = 1 = lim Σ f(ci) Δxi [-2, 2] ||Δ|| →0 i = 1 = ∫[-2, 2] f(x) dx = 12.

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The energy of each photon is:
a) 239.3 kJ/mol
b) \(4.97 * 10^-4 kJ/mol\)
c) \(5.07 * 10^-4 kJ/mol\)

To calculate the energy of each photon in kilojoules per mole, we'll use the following equation:
E = h × ν × (Avogadro's number) / 1000
where E is the energy, h is Planck's constant (6.626 × 10^-34 Js), ν is the frequency in \(s^-1,\) and Avogadro's number is \(6.022 * 10^23 mol^-1.\)

For part c, we'll first convert the wavelength to frequency using the speed of light equation:
ν = c / λ
where c is the speed of light (3.00 × 10^8 m/s) and λ is the wavelength in meters.
a) ν = \(5.92 * 10^19 s^-1\)
E = \((6.626 * 10^-34 Js) * (5.92 * 10^19 s^-1) * (6.022 * 10^23 mol^-1) / 1000\)
E ≈ 239.3 kJ/mol
b) ν \(= 1.24 * 10^6 s^-1\)
E =\((6.626 * 10^-34 Js)\) * \((1.24 * 10^6 s^-1)\) * \((6.022 * 10^23 mol^-1) / 1000\)
E ≈ 4.97 × 10^-4 kJ/mol
c) λ = 265 m
ν =\((3.00 * 10^8 m/s) / (265 m)\)
ν ≈ 1.13 × 10^6 s^-1
E = \((6.626 * 10^-34 Js)\) *\((1.13 * 10^6 s^-1)\) * \((6.022 * 10^23 mol^-1) / 1000\)
E ≈ 5.07 × 10^-4 kJ/mol.

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Answer:

Modeling the situation with a quadratic equation, it is found that:

The maximum height of the ball is of 60.2 feet.

The ball hits the ground after 3.39 seconds.

Considering the gravity, the height of the ball, after t seconds, is given by the following quadratic equation.

In which:

is the initial velocity.

is the initial height.

In this problem:

Height of 8 feet, thus .

Initial velocity of 32 feet per second,  

The equation is:

Which is a quadratic equation with .

The maximum height is the output of the vertex, which is:

Then, with the coefficients of this question:

The maximum height of the ball is of 60.2 feet.

It hits the ground at t for which , thus:

We want the positive value, so:

The ball hits the ground after 3.39 seconds.

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Step-by-step explanation:

Answer:

You split it into two parts then add them

Step-by-step explanation:

9 m, 23 m, and 23 m are the triangle's measurements.

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Answer:

1.)

y= (15 x 3) - 40

y= 45-40

y= 41

2.)

y= (2/3 x 21) +20

y= 14+20

y= 34

3.)

y= (3* -2)² +17

y= -6² +17

y= -36 +17

y= -19

SRY I DID NOT ANSWER BEFORE

Answer:

1.) y= 41

2.) y=34

3.) y= -19

Step-by-step explanation:

1.) y= (15 x 3) - 40

   y= 45-40

   y= 41

2.) y= (2/3 x 21) +20

    y= 14+20

    y= 34

3.) y= (3* -2)² +17

    y= -6² +17

    y= -36 +17

    y= -19

For a point Q is the midpoint of lines PQ = 19, and PR = 8x + 14. The value of x is equals to the 3. So, option(c) is right answer for problem.

Midpoint defined as a point that is lie in the middle ( or centre) of the line connecting of two points. The two specify points are called endpoints of a line, and its middle point is lying in between the two points. The middle or centre point divides the line segment into two equal parts. For example, B is midpoint of line AC. The length of line segment PQ = 19

The length of line segment PR = 8x + 14

Let Q be a the midpoint of PR. By definition of midpoint, PQ = QR = 19. We have to determine the value of x. By segment postulates, PR = PQ + QR

8x + 14 = 19 + 19

=> 38 = 8x + 14

=> 8x = 38 - 14

=> 8x = 24

=> x = 24/8

=> x = 3

Hence, required value of x is 3.

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Complete question:

Find x if Q is the midpoint of PR, PQ= 19, and PR =8x + 14

a. 14.

b) 7

c) 3

d) 5

Answer:

$17.49

Step-by-step explanation:

Answer:  The correct answer is:

______________

            →   Choice: [C]:  "  \(\frac{2}{1} * \frac{7}{-2}\) " .

______________

Step-by-step explanation:

______________

Note that this problem contains multiplication and division.

 WIth multiplication and division;

the order of operations we perform is from "left side to right side" in the expression;  in the order in which the operation occurs:

As such:

______________

The given problem:

______________

"   \(\frac{-3}{4} * \frac{7}{-2}\) ÷ \(\frac{3}{-8}\) " ;

Is treated as:

______________

" \((\frac{-3}{4} * \frac{7}{-2})\) ÷ \(\frac{3}{-8}\) " ;

______________

So, we start with:

______________

" \(\frac{-3}{4} * \frac{7}{-2}\) " ;

______________

→ \(\frac{-3}{4} * \frac{7}{-2} = \frac{(-3*7)}{[4*(-2) ]} = \frac{-21}{-8}\) ;  

______________

Simplify:

______________

"  \(\frac{-21}{-8} = \frac{(-1)*21}{(-1) *8}\) " ;

______________

          →  The "(-1)'s " cancel out:

              {since: "(-1)/(-1) = 1 "} ;

→ And we have:  " \(\frac{21}{8}\) " ;

______________

Now, continue with the problem, and divide this value by: " \(\frac{3}{-8}\) " ;

______________

 " \(\frac{21}{8}\) ÷ \(\frac{3}{-8}\) " ;

______________

Note that dividing by a number is the same as multiplying by the reciprocal of that said number:

______________

The reciprocal of " \(\frac{3}{-8}\) " ; is:  " \(\frac{-8}{3}\) : l

As such:

" \(\frac{21}{8}\) ÷ \(\frac{3}{-8}\) " ;

______________

     =   "  \(\frac{21}{8} * \frac{-8}{3}\)  "

______________

Now, let us simplify:

 Note:  The "8" and the "-8" ;

    The "8" can be changed to "1" ; and the "-8" can be changed to "-1" ;

since: "-8 ÷ 8 = 1 " ;  and since:  "8 ÷ 8 = 1 " ;

Note:  The "3" and the "21" ;

    The "3" can be changed to "1";  and the "21" can be changed to "7" ;

since: "21 ÷ 3 = 7 " ; and since:  "3 ÷ 3 = 1 " ;

______________

And we can we rewrite the expression:

______________

 → " \(\frac{7}{1} * \frac{-1}{1}\) " ;

which equals:  " 7 * -1 " ;  which equals " - 7 ".

______________

Now, the problem has 4 (four) answer choices.  Which expression [i.e. which answer choice] is equal to:  " -7 " ??

______________

Consider Choice [A]: " \(\frac{1}{2} * \frac{7}{2}\) " ; which equals: " \(\frac{(1*7)}{(2*2)} = \frac{7}{4} = 1\frac{3}{4}\) " ;

" \(1\frac{3}{4} \neq -7\) ."

Rule out: "Choice [A]."

______________

Consider Choice: [B]: " \(\frac{2}{1} * \frac{7}{2}\) " ; which equals: " \(\frac{(2*7)}{(1*2)} = \frac{14}{2} = 7\) ; " \(7\neq -7\) ."

Rule out: "Choice: [B]."

______________

Consider Choice: [C]: " \(\frac{2}{1} * \frac{7}{-2}\) " ; which equals: " \(-7\) ;  " \(-7 = -7\) ".  

 Choice [C]: seems correct!

______________

Consider Choice: [D]: " \(\frac{-1}{2} * \frac{7}{-2}\) " ; which equals:

                           " \(\frac{(-1*7)}{(2*-2)} = \frac{-7}{-4} = \frac{(-1)*7}{(-1)*4}\) ;

                                              → cancel out the "(-1)'s" ;

                                              → {since: "(-1) / (-1) = 1 " ;  

                                         to get:

                                              → " \(\frac{7}{4}\) " ; which equals:

                                              → " \(1\frac{3}{4}\) " ;  " \(1\frac{3}{4} \neq -7\) . "

 Rule out: "Choice: [D]."

______________

The correct answer is:

______________

Choice: [C]:  "  \(\frac{2}{1} * \frac{7}{-2}\) " .

______________

Hope this is helpful to you!

Wishing you the best!

______________

The results using Fermat's little theorem are:

a. \(315 \mod 13 = 1\)

b. \(1518 \mod 17 = 1\)

c. \(4567 \mod 17 = 1\)

d. \(145102 \mod 101 = 1\)

Fermat's little theorem states that if p is a prime number and a is an integer not divisible by p, then \(a^{p-1} \equiv 1 \mod p\). We can use this theorem to find the results of the given congruences:

a. To find \(315 \mod 13\), we note that 13 is a prime number. Since 315 is not divisible by 13, we can apply Fermat's little theorem. We have \(315^{12} \equiv 1 \mod 13\). Simplifying this expression, we get \(315 \equiv 1 \mod 13\). Therefore, \(315 \mod 13 = 1\).

b. For \(1518 \mod 17\), we again use Fermat's little theorem. Since 17 is prime and 1518 is not divisible by 17, we have \(1518^{16} \equiv 1 \mod 17\). Simplifying this expression, we find \(1518 \equiv 1 \mod 17\). Hence, \(1518 \mod 17 = 1\).

c. Similarly, for \(4567 \mod 17\), we apply Fermat's little theorem. Since 17 is prime and 4567 is not divisible by 17, we have \(4567^{16} \equiv 1 \mod 17\). This simplifies to \(4567 \equiv 1 \mod 17\). Therefore, \(4567 \mod 17 = 1\).

d. Lastly, for \(145102 \mod 101\), we can once again use Fermat's little theorem. Since 101 is prime and 145102 is not divisible by 101, we have \(145102^{100} \equiv 1 \mod 101\). This simplifies to \(145102 \equiv 1 \mod 101\). Thus, \(145102 \mod 101 = 1\).

Therefore, the results using Fermat's little theorem are:

a. \(315 \mod 13 = 1\)

b. \(1518 \mod 17 = 1\)

c. \(4567 \mod 17 = 1\)

d. \(145102 \mod 101 = 1\)

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The area of the composite figure composed of two rectangles is 217 centimetres squared

The area of the composite figure can be found as follows:

The area of the composite figure can be found by adding up the individual area of each shape in the figure.

Therefore,

area of the figure = area of rectangle + area of rectangle

area of a rectangle = lw

where

Therefore,

area of the figure =  (14 × 11) + (7 × 9)

area of the figure = 154 + 63

area of the figure = 217 cm²

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The value of x that makes 25x^2 + 70x + c a perfect square trinomial is c = 1225.

To make the quadratic expression 25x^2 + 70x + c a perfect square trinomial, we need to determine the value of c.

A perfect square trinomial can be written in the form (ax + b)^2, where a is the coefficient of the x^2 term and b is half the coefficient of the x term.

In this case, a = 25, so b = (1/2)(70) = 35.

Expanding (ax + b)^2, we have:

(25x + 35)^2 = 25x^2 + 2(25)(35)x + 35^2

= 25x^2 + 70x + 1225.

Comparing this with the given quadratic expression 25x^2 + 70x + c, we can see that c = 1225.

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Answer:

12 songs

Step-by-step explanation:

Answer:

389 hours and 23 minutes

Step-by-step explanation:

16x24=384

384+=5=389

and 23 minutes

Answer:

m < 1 = 23°

m < 2 = 90°

m < 3 = 67°

m < 4 = 113°

Step-by-step explanation:

m < 2 is a right angle. Therefore, m < 2 = 90°.

Since m < 2 is 90°, then m < 1 + m < 67° = 90°

To solve for m < 1: subtract m < 67° from m < 2:

90° - m < 67° = 23°.  Thereforem m < 1 = 23° (acute angle).

m < 67° + m < 4 = 180° (supplementary angles).

To solve for m < 4: subtract m < 67° from 180°  

180° - m < 67° = 113° .

Therefore, m < 4 = 113° (obtuse angle).

The sum of m < 4 and m < 3 = 180° (supplementary angles).

180° - m < 4 = m < 3

180° - 113° = 67°

Therefore, m < 3 = 67° (acute angle).

Answer:

6.8 hours of pool use for a total monthly charge of $69.80

Step-by-step explanation:

6.8(6)+29=69.80

The decimal number that corresponds to the binary number 11111111 is 255.

The decimal numeral system is the most widely used system for representing both integer and non-integer values. It is the Hindu-Arabic numeral system's expansion to non-integer numbers. Decimal notation is the method of representing numbers in the decimal system. A decimal number is made up of two parts: a whole number and a fractional component separated by a decimal point. The decimal point is the dot between the whole number and the fractions. 25.5, for example, is a decimal number.

Here,

In binary, each digit represents a power of 2, starting with the rightmost digit. The rightmost digit in 11111111 represents 2^0, the second digit from the right represents 2^1, and so on. To convert a binary number to decimal, you add up the value of each digit times the corresponding power of 2.

For 11111111, the calculation would be:

=1 * 2^7 + 1 * 2^6 + 1 * 2^5 + 1 * 2^4 + 1 * 2^3 + 1 * 2^2 + 1 * 2^1 + 1 * 2^0 = 128 + 64 + 32 + 16 + 8 + 4 + 2 + 1

=255

The decimal equivalent of the binary number 11111111 is 255.

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