What’s the answer to question number 2? PLEASE someone help

Answer:

(a+b)(a+b)

=a^2 + ab + ab + b^2

=a^2 + 2ab + b^2

Answer:

(a+b)² = ( a +b ) (a + b )

= a² + b² + 2ab

The property of equality justifies the given statement is Transitive property of equality.

Given,

The statement:

If, 7x = 28,

then, x = 4

We have to find the property of equality that justifies this statement:

The transitive property of equality formula is given as follows:

If y = z and x = y, x must be z. Where items belong to the same category as x, y, and z. For instance, if a line segment's measurement is represented by "x," then its measurement should also be represented by "y" and "z."

The property of equality that justifies this statement If, 7x = 28,

then, x = 4 is  transitive property of equality.

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The total combat time in the game should be set as 60 minutes.

Let's denote the time spent on combatting as "c" (in minutes).

Based on the given information:

To find the total playtime, we add up all the components:

Total playtime = Combat time + Storytelling time + Exploring time + Puzzle-solving time + Hero creation time

or, Total playtime = c + 2c + 6c + c + 15

We know that the total playtime is 615 minutes, so we can set up the equation:

615 = 10c + 15

Simplifying the equation:

10c = 615 - 15

10c = 600

c = 60

Therefore, the total combat time in the game should be set as 60 minutes.

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Answer:

50%

Step-by-step explanation:

90-60 = 30

30÷60 = .5

Step-by-step explanation:

sum of numbers divided by how many numbers there are.

(2/4 + 18/5 + 28/10 + 5/20)/4

we bring all fractions to .../20, as 20 is the smallest common multiple of all denominators. and then we can easily sum them all up.

so,

(10/20 + 72/20 + 56/20 + 5/20)/4 =

143/20 / 4 = 143/20 × 1/4 =

= 143/80 is the mean or average

The equation of a line in point- slope form, that passes through (1, -7) and has a slope of -2/3 is (y + 7) = -2/3 (x - 1)

Information gotten from the question include

a slope of -2/3

points (1, -7)

A linear function consists of functions where the variables has exponents of 1.

The equation of a line in point- slope form is expressed in the form.

(y - y₁) = m (x - x₁)

Definition of variables

(y and y₁) = refers to variables in the y direction

m = slope

x and  x₁ = refers to variables in the x direction

substituting into the slope and point (1, -7) equation gives

()y + 7) = -2/3 (x - 1)

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the answer is in the pic open it can u give me a brill i also gave u an explanation !

good luck

The axis of symmetry of the function is f(x) = -(x + 9)(x - 21) is 6.

The distributive nature of multiplication allows you to simplify expressions that multiply numbers by sums or differences. According to this property, the sum or the difference of a number is equal to the sum or the difference of the products.

It is given that

f(x) = -(x + 9)(x - 21)

Using the multiplicative distributive property

f(x) = -(x2 - 21x + 9x - 189)

⇒ f(x) = -x2 + 21x - 9x + 189

⇒ f(x) = -x2 + 12x + 189

We know that

Axis of symmetry x = -b/2a

Substituting the values

x = -12/ 2(-1)

⇒ x = -12/-2

⇒ x = 6

Therefore, the axis of symmetry is 6.

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Answer:7/20 is the answer

Step-by-step explanation:

5. 24 hours over 7 days (Because 1 day = 4 hrs)

6. 16 limes over 2 bags (1 bag = 8 limes)

7. 54 cups over 9 boxes (6 cups = 1 box)

8. 27 meters (or minutes) over 3 seconds (9 meters over 1 second)

9. 36 lbs over $24 ($1 = 1.5lbs)

Answer:A pic with numbers i dont know.Or maybe you were talking about imaginemath

Step-by-step explanation:

We have that X and Y are two independent exponential random variables with mean 1, which implies that their respective probability density functions are given by fX(x) = e^(-x) and fY(y) = e^(-y) for x, y > 0.

To find the probability density function for W = Y/X, we can use the transformation method. Let w = y/x, so that y = wx. Then we can write:

fW(w) = fYX(wx, x) |J|

where J is the Jacobian of the transformation, given by |J| = |d(y,x)/d(w,x)|. Taking the partial derivatives, we have:

dy/dw = x, and dy/dx = w, so |J| = |xw| = wx.

Substituting in the expressions for fX(x) and fY(y) in terms of w and x, we have:

fW(w) = ∫[0,∞] fYX(wx, x) |J| dx

= ∫[0,∞] e^(-wx) e^(-x) wx dx

= ∫[0,∞] wx e^(-(1+w)x) dx

= w ∫[0,∞] x e^(-(1+w)x) dx.

We can evaluate this integral using integration by parts. Let u = x and dv = e^(-(1+w)x) dx. Then du = dx and v = (-1/(1+w)) e^(-(1+w)x). Thus,

∫[0,∞] x e^(-(1+w)x) dx = [-xe^(-(1+w)x)/(1+w)]|[0,∞] + ∫[0,∞] e^(-(1+w)x)/(1+w) dx

= [0 + (1/(1+w))] + [(-1/(1+w))^2 e^(-(1+w)x)]|[0,∞]

= 1/(1+w) + 0

= 1/(1+w).

Therefore, we have:

fW(w) = w/(1+w), for w > 0.

Thus, the answer is (A) fw(w) = 1/(1+w)^2, w > 0.

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The probability that a roll chosen at random and utilized by the manufacturer has problems is 0.032.

Probability, in its simplest form, gauges the likelihood that something will happen. When we are unsure of how an event will turn out, we might talk about the likelihood of different outcomes. The study of events susceptible to probability is known as statistics. Probability is a mathematical representation of the likelihood or potential that an event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%. Probability, in its simplest form, gauges the likelihood that something will happen. When we are unsure of how an event will turn out, we might talk about the likelihood of different outcomes. The study of events susceptible to probability is known as statistics.

So, the probability

\(=\frac{80}{100}*0.03+\frac{20}{100}*0.04\\=0.8*0.03+0.2*0.04\\=0.024+0.008\\=0.032\)

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keeping in mind that "y = some number" is always a horizontal line, y = 0 is just another way to say the x-axis, Check the picture below.

Answer:

$32

Step-by-step explanation:

Answer:

32 dollars

Step-by-step explanation:

20% of $40 is 8

so you subtract 8 to get your answer

40-8 = 32

Steve would need approximately 2 teaspoons of vanilla extract to measure 10 mL accurately.

Steve wants to measure 10 mL of vanilla extract using a teaspoon.

He knows that 1 teaspoon is equivalent to 4.93 mL.

To determine the number of teaspoons needed for 10 mL, he can divide 10 by the conversion rate.

Dividing 10 by 4.93 gives the result of approximately 2.03.

Therefore, Steve would need approximately 2 teaspoons of vanilla extract to measure 10 mL accurately.

Since he only has a teaspoon for measuring, he can use two teaspoons to reach the desired amount.

It's important to note that the conversion rate provided (1 tsp = 4.93 mL) may vary depending on factors such as the density or viscosity of the liquid being measured.

In this case, the given conversion rate is specific to the density or viscosity of vanilla extract.

Different liquids may have different conversion rates, so it's essential to use the appropriate conversion factor for each substance when converting between different units of measurement.

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Hey there! I'm happy to help!

If you run at a speed of 6 mph, you are running 6 miles every hour. This means you multiply the number of hours by six to find your total mileage, which can be written as 6h miles.

Have a wonderful day! :D

The distance cover by runner will be 6h miles.

What is mean by Speed?

The speed of an object is defined as;

⇒ Speed = Distance / Time

Given that;

Time for run = h hour

Speed for run = 6 miles per hour

Now,

Since, We know that;

Speed = Distance / Time

Distance = Speed x Time

Substitute all the values, we get;

Distance = Speed x Time

Distance = 6 x h

Distance = 6h miles.

Thus, The distance cover by runner will be 6h miles.

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Answer:

18π

Step-by-step explanation:

Answer:

D) 114

Step-by-step explanation:

111/6 is not integer. 112/6 is not an integer. 113/116 is not either. however, 114/6 is an integer.

Answer:

D) 114

Step-by-step explanation:

114/2 = 57

114/3 = 38

Answer:

10

Step-by-step explanation:

\(\frac{2}{3} /\frac{1}{15} =\\ \frac{2}{3} *\frac{15}{1} =\\ \frac{30}{3} = \\ 10\)

The probability that the entire surface can be painted is 0.7486.

The probability formula is:

For instance, when we flip a coin, there are just two possible results:

Z score is given by:

From the Z table:

Therefore, the probability of painting the full surface is 0.7486.

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Answer:

1/6 of the vegetables space will be used for the tomatoes

Answer:

1/12 of the Garden

Step-by-step explanation:

When adding fractions, the denominators need to be the exact same number. Therefore, you need to find the LCM. The LCM of 3 and 4 is 12, so all the denominators will be 12.

2/3 * 4/4 = 8/12

1/4 * 3/3 = 3/12

8/12 + 3/12 = 11/12

Now you need to subtract it from 1 (the garden).

12/12 - 11/12 = 1/12

An ice cream shop has 10 flavors and one can choose 4 different flavors. The question asks for the total number of possible flavor combinations.Therefore, we need to find the number of ways in which 4 flavors can be chosen from 10 flavors.

In such cases where order does not matter and repetitions are not allowed, we can use the formula for combinations which is as follows:C(n, r) = n! / (r! (n - r)!)Where n is the total number of items, r is the number of items being chosen at a time and ! represents the factorial function.

Using this formula we can find the total number of possible flavor combinations. Substituting the values in the above formula, we get:C(10, 4) = 10! / (4! (10 - 4)!)C(10, 4) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)C(10, 4) = 210Hence, there are 210 possible flavor combinations when one can choose 4 different flavors

.Explanation:The formula to be used for this type of question is combination. Combination is the method of selecting objects from a set, typically without replacement (without putting the same item back into the set) and where order does not matter. The formula for combination is given by C(n,r)=n!/(r!(n-r)!).

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The width and height are given to one decimal place, and we have multiplied them together, the answer should be rounded to one decimal place. Therefore, the area of the rectangle is 25.1 cm²

To calculate the area of a rectangle, we need to multiply its width by its height.

The size of a patch on a surface is determined by its area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina. Area can be interpreted as the quantity of material with a specific thickness required to create a model of the shape or as the quantity of paint required to completely cover the surface in a single coat.

Area = width x height

Substituting the given values, we get:

Area = 7.6 cm x 3.3 cm

Area = 25.08 cm²

Since the width and height are given to one decimal place, and we have multiplied them together, the answer should be rounded to one decimal place. Therefore, the area of the rectangle is 25.1 cm² (rounded to one decimal place).

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We have demonstrated that x² ≥ x for all integers x. Therefore, the statement x² ≥ x for all x ∈ Z is true.

An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

To prove that x² ≥ x for all x ∈ Z, we need to show that the inequality holds true for any arbitrary integer value of x.

We can prove this by considering two cases:

Case 1: x ≥ 0

If x ≥ 0, then x² ≥ 0 and x ≥ 0. Therefore, x² ≥ x.

Case 2: x < 0

If x < 0, then x² ≥ 0 and x < 0. Therefore, x² > x.

In either case, we have shown that x² ≥ x for all integers x. Therefore, the statement x² ≥ x for all x ∈ Z is true.

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A discrete probability distribution is a statistical distribution that relates to a set of outcomes that can take on a countable number of values, whereas a continuous probability distribution is one that can take on any value within a given range.Therefore, the main difference between the two types of distributions is the type of outcomes that they apply to.

An example of a discrete probability distribution is the probability of getting a particular number when a dice is rolled. The possible outcomes are only the numbers one through six, and each outcome has an equal probability of 1/6. Another example is the probability of getting a certain number of heads when a coin is flipped several times.

On the other hand, an example of a continuous probability distribution is the distribution of heights of students in a school. Here, the range of heights is continuous, and it can take on any value within a given range.

The expected value of a probability distribution measures the central tendency or average of the distribution. In other words, it is the long-term average of the outcome that would be observed if the experiment was repeated many times.

For a discrete probability distribution, the expected value is computed by multiplying each outcome by its probability and then adding the results. In mathematical terms, this can be written as E(x) = Σ(xP(x)), where E(x) is the expected value, x is the possible outcome, and P(x) is the probability of that outcome.

For example, consider the probability distribution of the number of heads when a coin is flipped three times. The possible outcomes are 0, 1, 2, and 3 heads, with probabilities of 1/8, 3/8, 3/8, and 1/8, respectively. The expected value can be computed as E(x) = (0*1/8) + (1*3/8) + (2*3/8) + (3*1/8) = 1.5.

Therefore, the expected value of the distribution is 1.5, which means that if the experiment of flipping a coin three times is repeated many times, the long-term average number of heads observed will be 1.5.

To use the quadratic formula, we need to identify the values of a, b, and c.

1. In this case, the equation is 4x² - 3x - 8 = 0, so a = 4, b = -3, and c = -8.

2. x = (-b ±√(b² - 4ac))/2a.

3.  x = (3 ±√137)/8.

The Quadratic Formula is a mathematical equation used to solve second-degree equations.

To use the quadratic formula, we need to identify the values of a, b, and c in the equation ax² + bx + c = 0.

In this case, the equation is

4x² - 3x - 8 = 0,

so a = 4, b = -3, and c = -8.

Once the values of a, b, and c are known, we can substitute them into the Quadratic Formula:

x = (-b ±√(b² - 4ac))/2a.

In this equation, a = 4, b = -3, and c = -8, so the equation becomes

x = (-(-3) ±√((-3)² - 4(4)(-8)))/2(4).

Simplifying, we get x = (3 ±√(9 + 128))/8.

Finally, solving for x yields x = (3 ±√137)/8.

Therefore, the solution to the equation is

x = (3 ±√137)/8.

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