Which of the following sets contain only rational numbers that are integers?
F
(6, -3, 1.25}
G
(8, 4, 0.5)
H
(-8, 4/3,✔️16, 25)
J
(16/4,-8, 7, √5)

The operation that results in the simplified expression x⁵ + x⁴ - 5x³ - 3x² + x - 8 is; P + Q

We are given the Polynomials as;

P(x) = x⁴ + 3x³ + 2x² - x + 2

Q(x) = (x³ + 2x² + 3)(x² - 2)

We want to find the combination of P and Q that would yield;

x⁵ + x⁴ - 5x³ - 3x² + x - 8

Let us expand Q(x) to get;

Q(x) = x⁵ + 2x⁴ + 3x² - 2x³ - 4x² - 6

Q(x) = x⁵ + 2x⁴ - 2x³ - x² - 6

Now, the combined polynomial shows us that coefficient of x⁴ is 1 and coefficient of x³ is - 5.

By inspection, we can say that the combination that would produce the required result is;

Q(x) - P(x) = x⁵ + 2x⁴ - 2x³ - x² - 6 -  x⁴ - 3x³ - 2x² + x - 2

Q(x) - P(x) = x⁵ + x⁴ - 5x³ - 3x² + x - 8

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Answer:

y = 2x + 4

Step-by-step explanation:

Two points on this line are (-2, 0) and (0, 4).  Going from the first to the second, x increases by 2 (this is the 'run') and y increases by 4 ('rise').

Thus, the slope of this line is m = rise / run =  4/2 = 2

Using the slope-intercept formula, we get y = mx + b = 2x + b

Let x = -2 and y = 0 to find b:  0 = 2(-2) + b, so b = 4, and the desired equation is then:

y = 2x + 4

According to the average, it will take you almost 6 hours to do the climb, therefore it will be possible.

Since Jeremy has heard a lot of people in the club talking about tackling a 950-foot rock formation, and he has set a limit that they won't climb anything that takes longer than 7 hours, so they have enough time to travel to and from the place, to determine if it will be possible to climb a 950-foot rock formation within Jeremy's time constraint, the following calculation must be performed, through cross multiplication, to obtain the average rise time:

Therefore, according to the average, it will take you almost 6 hours to do the climb, therefore it will be possible.

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Answer:

.....

Step-by-step explanation:

Therefore, the number of ways a student can work 7 out of 10 questions on the exam is 120, which corresponds to option (D).

The number of ways a student can work 7 out of 10 questions on an exam can be calculated using the concept of combinations.

The formula for combinations is given by:

C(n, k) = n! / (k!(n - k)!)

Where n is the total number of items and k is the number of items chosen.

In this case, the student is choosing 7 questions out of a total of 10, so we have:

C(10, 7) = 10! / (7!(10 - 7)!) = 10! / (7!3!)

Simplifying:

10! = 10 * 9 * 8 * 7!

3! = 3 * 2 * 1

C(10, 7) = (10 * 9 * 8 * 7!) / (7! * 3 * 2 * 1)

The 7! terms cancel out:

C(10, 7) = (10 * 9 * 8) / (3 * 2 * 1)

C(10, 7) = 120

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Integers are numbers without decimal points. The number could be positive, negative or zero

The maximum number from integer N can be determined using the following program written in Python, where comments are used to explain each line

#This prompts the user for input

num = input("Number: ")

#This iterates from 0 to 9

kount = [0 for x in range(10)]

# This iterates through the input, and updates the kount variable

for i in range(len(num)):

   kount[int(num[i])] = kount[int(num[i])] + 1

# This next two lines initialize the greatest number

greatestNum = 0

multiplier = 1

# This iterates through the kount array

for i in range(10):

   #The following is repeated while the current element is greater than 0

while kount[i] > 0:

    #This generates the greatest number

 greatestNum = greatestNum + ( i * multiplier )

 kount[i] = kount[i] - 1

 multiplier = multiplier * 10

#This prints the greatest number

print(greatestNum)

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Answer:

64

Step-by-step explanation:

m∠S = 74

m∠S = 5x + 19

5x + 19 = 74

5x = 74 - 19

5x = 55

x = 55 / 5

x = 11

m∠Q = 3x + 31

= 3 ( 11 ) + 31

= 33 + 31

m∠Q = 64

Answer:

2.5

Step-by-step explanation:

Answer:

880 times 0.45 equals 396 as his/her commissioner fee

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

First you have to analyze the word equations. Let x equal to Annabell's age and y equal her mother's age

3x + y = 42

6 + 6x = y

Then you use substitution to find x

3x + 6 + 6x = 42

9x = 36

x = 4

Answer:

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

what lesson..

Step-by-step explanation:

the hexadecimal number 3AB8 (base 16) is equivalent to 0011 1010 1011 1000 in binary (base 2).

The above solution comprises more than 100 words.

The hexadecimal number 3AB8 can be converted to binary in the following way.

Step 1: Write the given hexadecimal number3AB8

Step 2: Convert each hexadecimal digit to its binary equivalent using the following table.

Hexadecimal Binary

0 00001

00012

00103

00114 01005 01016 01107 01118 10009 100110 101011 101112 110013 110114 111015 1111

Step 3: Combine the binary equivalent of each hexadecimal digit together.3AB8 = 0011 1010 1011 1000,

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Answer and Step-by-step explanation:

1.

First, combine everything in the first parenthesis, then multiply by the number on the outside.

Primero, combine todo en el primer paréntesis, luego multiplique por el número en el exterior.

\(\frac{8}{5} +\frac{6}{5} -\frac{4}{5} =\\\\\frac{14}{5} -\frac{4}{5} = \frac{10}{5} = 2\\\\\\\)

2 × \(\frac{5}{6}\) = \(\frac{10}{6} = A) \frac{5}{3}\)   <- This is the answer. Esta es la respuesta.

2. First, combine everything in the first parenthesis, then multiply by the number on the outside.

Primero, combine todo en el primer paréntesis, luego multiplique por el número en el exterior.

\(\frac{20}{11} + \frac{12}{11}- \frac{19}{11} =\\\\\frac{32}{11} -\frac{19}{11} = \frac{13}{11} \\\\\\\)

\(\frac{13}{11}\) × \(\frac{11}{13}\) = B) 1  <- This is the answer. Esta es la respuesta.

3. Make the fractions have the same denominator, then add, then multiply by 40.

Haz que las fracciones tengan el mismo denominador, luego suma y luego multiplica por 40.

\(\frac{3}{8} ->\frac{15}{40} \\\\\frac{4}{5} ->\frac{32}{40} \\\\\frac{15}{40}+ \frac{32}{40} = \frac{47}{40} \\\\\\\)

\(\frac{47}{40}\) × 40 = E) 47  <- This is the answer. Esta es la respuesta.

I hope this helps! #TeamTrees #PAW (Plant And Water)

¡Espero que esto ayude! #TeamTrees #PAW (Planta y agua)

Answer:

x=30

Step-by-step explanation:

dive 3x both sides then u should get 10

(a) value of reaction is Qp = (43)^2 (23)/(675)^2Qp = 0.000444 (b) Thus the mixture is not at equilibrium.(c)  the reverse reaction is not favored and the forward reaction is favored.(d) Therefore, at equilibrium; P(NOCI) = (675 - 2x) = 648.6 torr P(NO) = (43 + x) = 56.2 torr P(Cl2) = (23 + x) = 36.2 torr.

a. Value of the reaction quotient Qp is given by the formula Qp= [NO]2 [Cl2]/ [NOCI]2Substituting the given values, we have; Qp = (43)^2 (23)/(675)^2Qp = 0.000444

b. To determine whether the mixture is at equilibrium or not, we compare the reaction quotient Qp with the equilibrium constant Kp. Qp < Kp implies that the reaction will proceed in the forward direction, whereas, Qp > Kp implies that the reaction will proceed in the reverse direction.

Qp < Kp, hence the reaction will proceed in the forward direction. Thus the mixture is not at equilibrium.

c. The reaction will move in the forward direction to reach equilibrium. This is because Qp is less than Kp, which means that the reverse reaction is not favored and the forward reaction is favored.

d. When the system reaches equilibrium, the partial pressures of the components in the system can be calculated using the formula; Kp = [NO]2 [Cl2]/ [NOCI]2Given that the equilibrium constant Kp is 0.60, the partial pressure of NOCI is 675 torr, and the reaction is exothermic, it follows that the partial pressure of NO will be higher and that of chlorine will be lower at equilibrium.

The equilibrium concentrations are given as;[NO]2 [Cl2]/ [NOCI]2 = 0.60Let x be the extent of the reaction, then (675 - 2x) will be the concentration of NOCI and (43 + x) will be the concentration of NO. Therefore, concentration of Cl2 is (23 + x).Substituting in the expression for Kp, we have;(43 + x)2 (23 + x)/ (675 - 2x)2 = 0.60Solving this equation gives x = 13.2 torr.

Therefore, at equilibrium; P(NOCI) = (675 - 2x) = 648.6 torr P(NO) = (43 + x) = 56.2 torr P(Cl2) = (23 + x) = 36.2 torr.

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The equation that can be used to find the width, w, of the rectangle with the given area is 2w² - w - 91 = 0

To determine the equation that can be used to find the width we use the following formula; Area of a rectangle = length × width

Since the area of the rectangle is 91 square inches and the length of the rectangle is 1 less than twice its width, this can be represented as;

Length of the given rectangle = 2w - 1

Using the area formula the equation to find the width would be:

(2w - 1)(w) = 91

2w² - w - 91 = 0

Hence 2w² - w - 91 = 0, is the equation that can be used to find the width.

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Answer:

Mass

Step-by-step explanation:

"Robin collected data from dropping watermelons of different 'MASS' for the same height"

Answer:

Step-by-step explanation:

60 x 60 = 3600

3600 x 24

5280 x 12

I know for steps 2 and 3 to be equal, 3600 would have to be half of 5280 because 24 is twice 12, and it’s not. And because 3600 is more than half of 5280, I know that 3600 times 24 is more than 5280 times 12. My answer, therefore, is there are more seconds in a day.

To find the area between the x-axis and the function f(x) = x^2 - x - 12 over the interval [-5, 10], we can use definite integration.

The definite integral of a function represents the signed area between the function and the x-axis over a given interval. In this case, we want to find the positive area, so we'll use the absolute value of the integral.

The integral of f(x) over the interval [-5, 10] can be computed as follows:

∫[-5, 10] |x^2 - x - 12| dx

To compute this integral, we can break it down into three smaller areas and sum them up:

∫[-5, 10] |x^2 - x - 12| dx = ∫[-5, 0] |x^2 - x - 12| dx + ∫[0, 3] |x^2 - x - 12| dx + ∫[3, 10] |x^2 - x - 12| dx

By evaluating these three integrals separately and summing their absolute values, we can find the total area between the x-axis and the function.

To graph the function and visualize the areas, please provide the platform or format you would like to use (e.g., a specific software, Python code, etc.).

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Answer: 2t - 20

Step-by-step explanation:

Jojo spends t minutes doing homework.

He then spends 20 minutes less than twice that amount of time doing homework.

For homework therefore, let us breakdown the time spent:

When doing homework, Jojo therefore spends:

= 2t - 20

the probability of being broke at the end of the game is essentially 100%.

we can consider each coin flip as a separate event, with a probability of 0.5 for heads and 0.5 for tails. Let's calculate the probability of being broke at the end of the game.
First, we need to consider how many flips it would take to go from $60 to $0. If we keep losing $1 per flip, we would need to lose 60 times to reach $0. The probability of losing 60 times in a row is (0.5)^60, which is an extremely small number.
Secondly, we need to consider how many flips it would take to reach $100. If we keep winning $1 per flip, we would need to win 40 times to reach $100. The probability of winning 40 times in a row is (0.5)^40, which is also an extremely small number.
It is highly unlikely that someone would lose 60 times in a row, but it is still a possibility. As the number of flips increases, the probability of being broke becomes more and more certain.
In conclusion, while the probability of being broke at the end of the game is not exactly 100%, it is extremely close to that value.

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Answer: -6?

Step-by-step explanation:

Answer:

148176

Step-by-step explanation:

Answer:

148176

Step-by-step explanation:

21^3 = 9261

4^2 = 16

9261 × 16 = 148176

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Answer:

m∠QRO = 46°

Step-by-step explanation:

In the question, we are told that m∠SRO = 134°, and we are asked to calculate m∠QRO.

In order to do that, we have to realise that since angles SRO and QRO are on a straight line, their measures add up to 180°. Therefore:

∠SRO + ∠QRO = 180°

⇒ 134° + ∠QRO = 180°

⇒ ∠QRO = 180° - 134°

⇒ ∠QRO = 46°

Therefore, m∠QRO = 46°.

Answer:

c/sin(60°) = 14/sin(25°)

c = 14sin(60°)/sin(25°) = 28.7

The answer  is 4 - 4yi + y2, .We need to expand it using the rules of exponents.

We need to expand the expression (2 - yi)2 using FOIL (First, Outer, Inner, Last). (2 - yi)2 = (2 - yi)(2 - yi)
= 2(2) - 2(yi) - y(i)(2) + (yi)(i)
= 4 - 4yi + yi2
= 4 - 4yi + y2
So the simplest form of (2 - yi)2 is 4 - 4yi + y2.

To find the simplest form of (2 - yi)², where i is the imaginary unit, you need to expand and simplify the expression. First, you'll apply the formula (a - b)² = a² - 2ab + b². In this case, a = 2 and b = yi. After applying the formula, you'll get (2)² - 2(2)(yi) + (yi)². Next, you'll simplify each term. (2)² = 4, -2(2)(yi) = -4yi, and (yi)² = (y²)(i²). Since i² = -1, then (yi)² = -y². Finally, combining the terms, you'll have 4 - 4yi - y² as the simplest form of (2 - yi)².

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Answer: The lenght of the missing side is 4 cm

Step-by-step explanation:

The correct question is:

The perimeter of the rectangle is 20cm . One side is 6cm. What is the length of the missing side?

So, to answer it we have to apply the next formula:

Perimeter of a rectangle = 2 width + 2 length

Replacing with the values given: (assuming that the side given is the length of the rectangle)

20 = 2(6) + 2x

Solving for x:

20 =12 +2x

20-12 =2x

8 =2x

8/2 =x

4=x

The length of the missing side is 4 cm

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Answer:

you have it correct sir

Step-by-step explanation:

Answer:

First one is 0 aka no slope and second one is 2

Step-by-step explanation:

y = mx + b

m represents the slope b is the y-intercept

The first one is y = -5, as we can see there's no x so it's safe to say that the slope is 0 cause, 0x = 0 times x = 0

Second one is y = 2x - 4, in place of m we have 2 so the slope is 2

Answer:

the slope for the first one is 0

the second one is 2

Step-by-step explanation:

1. set your equation into y=mx+b form

2. identify what your 'm' is

3. m= your slope

Answer:

addition?

Step-by-step explanation: