Pls help my semester end today and I have ds

Answer:

a2 – b2 = (a – b)(a + b)

(a + b)2 = a2 + 2ab + b2

a2 + b2 = (a + b)2 – 2ab

(a – b)2 = a2 – 2ab + b2

(a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca

(a – b – c)2 = a2 + b2 + c2 – 2ab + 2bc – 2ca

(a + b)3 = a3 + 3a2b + 3ab2 + b3 ; (a + b)3 = a3 + b3 + 3ab(a + b)

(a – b)3 = a3 – 3a2b + 3ab2 – b3 = a3 – b3 – 3ab(a – b)

a3 – b3 = (a – b)(a2 + ab + b2)

a3 + b3 = (a + b)(a2 – ab + b2)

(a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4

(a – b)4 = a4 – 4a3b + 6a2b2 – 4ab3 + b4

a4 – b4 = (a – b)(a + b)(a2 + b2)

a5 – b5 = (a – b)(a4 + a3b + a2b2 + ab3 + b4

Answer:

a2 – b2 = (a – b)(a + b)

(a + b)2 = a2 + 2ab + b2

a2 + b2 = (a + b)2 – 2ab

(a – b)2 = a2 – 2ab + b2

(a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca

(a – b – c)2 = a2 + b2 + c2 – 2ab + 2bc – 2ca

(a + b)3 = a3 + 3a2b + 3ab2 + b3 ; (a + b)3 = a3 + b3 + 3ab(a + b)

(a – b)3 = a3 – 3a2b + 3ab2 – b3 = a3 – b3 – 3ab(a – b)

a3 – b3 = (a – b)(a2 + ab + b2)

a3 + b3 = (a + b)(a2 – ab + b2)

(a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4

(a – b)4 = a4 – 4a3b + 6a2b2 – 4ab3 + b4

a4 – b4 = (a – b)(a + b)(a2 + b2)

a5 – b5 = (a – b)(a4 + a3b + a2b2 + ab3 + b4)

We can Long Division method to solve quotients step by step

What is long division method and its steps ?

When splitting huge numbers, the task is divided into several sequential parts using the long division approach. The dividend is divided by the divisor, just as in conventional division problems, and the result is known as the quotient; occasionally, it also produces a remainder.

We need to comprehend a few stages in order to divide. A vinculum or right parenthesis separates the dividend from the quotient, while a vertical bar separates the divisor from the dividend. Let's now go through the long division stages listed below to comprehend the procedure.

1. Take the dividend's first digit starting from the left . Verify if this digit exceeds or is equal to the divisor.

2. Next, divide it by the divisor, and write the result as the quotient on top.

3. Subtract the outcome from the digit, and then put the difference below.

Step 4: Decrease the dividend's subsequent digit (if present).

Step 5: Carry out Step 4 again.

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A line, line segment, or ray that divides an angle into two congruent angles is called an angle bisector.

What are supplementary angles example?

Supplementary angles are those angles that sum up to 180 degrees. For example, angle 130° and angle 50° are supplementary angles because sum of 130° and 50° is equal to 180°. Similarly, complementary angles add up to 90 degrees.

What do you mean by angle bisector?

If the angle is divided by the line and the angle is divided such that the angles are equal to each other then the line is called the angle bisector.

The word congruent means equal of the things. In this, the angles are congruent to each other which means the angles are equal to each other.

Thus, the black space is to be filled by the angle bisector.

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To compute the median of these fourteen patients' lengths of stay, we need to arrange them in ascending order first: 1, 1, 2, 2, 3, 3, 4, 4, 4, 4, 5, 6, 16. Then, we can find the middle value, which is 4, since there are an even number of values. Therefore, the median length of stay for these fourteen patients is 4.

The median is a measure of central tendency that represents the middle value of a dataset. In this case, we have fourteen patients' lengths of stay, which we need to arrange in ascending order before finding the middle value. Once we have arranged them, we can easily find the median, which is 4. This means that half of the patients stayed for less than 4 days, and half stayed for more than 4 days. The median is a useful measure when the dataset has outliers or extreme values that could affect the mean. In this case, we have one patient who stayed for 16 days, which is much longer than the other patients' lengths of stay. The median is not affected by this extreme value, making it a robust measure of central tendency.

In conclusion, the median length of stay for these fourteen patients is 4. By arranging the lengths of stay in ascending order and finding the middle value, we can determine the central tendency of this dataset. The median is a useful measure when dealing with datasets that have outliers or extreme values, as it is not affected by them. In this case, we have one patient who stayed for much longer than the others, but the median is still a reliable measure of the typical length of stay for these fourteen patients.

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Answer:

Step-by-step explanation:

the perimeter of the semi-circle would be the diameter plus the circumference of half of the circle.  

They want to know the perimeter of a square using the diameter of the sem-circle as ONE side, so the perimeter of the square would be 4 times the ONE side.

We should recall:

diameter = 2 times the radius     circumference of a cirlce = 2π r

How do we find the diameter of the of the semi circle?

The perimeter of the semi circle is given as 108 cm

Perimeter of the semicirle =    2r + π r         diameter plus semi circumference

                                  108   =   r ( 2 + π)           factor out the r and solve for r

                     108 / (2 + π)   =   r                       divide both sides by ( 2 + r)

Now we know r, the perimeter of the squqre is 4 times 2r  or  8r

           perimeter of square = 8  [ 108 / (2 + π) ]               π  I used 3.14

                                             =  864 / 5.14

                                             =   168.1 cm       I got rounded to nearest tenth    

When I re-checked by work I found a few math,  logic and calculation errors.  Please re-check my answer for any more mistakes.

Answer:

x-intercept:  (-56, 0)

y-intercept:  (0, -14)

Step-by-step explanation:

The x-intercept is the point at which the line crosses the x-axis, so when y=0.  To find the x-intercept, substitute y=0 into the given equation:

\(\begin{aligned}y=0\implies x+4(0)&=-56\\x+0&=-56\\x&=-56\end{aligned}\)

Therefore, the x-intercept of the given linear equation is:

The y-intercept is the point at which the line crosses the y-axis, so when x=0.  To find the y-intercept, substitute x=0 into the given equation:

\(\begin{aligned}x=0\implies 0+4y&=-56\\4y&=-56\\y&=\dfrac{-56}{4}\\y&=-14\end{aligned}\)

Therefore, the y-intercept of the given linear equation is:

Answer:

x=3

y=1

Step-by-step explanation:

C

The value of the constant of proportionality, k, in the equation r = ksv/p^3, is determined to be 1036.8 when given specific values for s, v, p, and r.

To express the statement as a formula, we have:

r = ksv / p^3

To determine the value of k, we can substitute the given values of s, v, p, and r into the formula and solve for k.

Given:

s = 2

v = 5

p = 6

r = 48

Substituting these values into the formula, we have:

48 = k * 2 * 5 / 6^3

Simplifying further:

48 = 10k / 216

To isolate k, we can cross-multiply and solve for k:

48 * 216 = 10k

10368 = 10k

k = 10368 / 10

k = 1036.8

Therefore, the value of k is 1036.8.

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Answer:

100

Step-by-step explanation:

Because they each give away 10 samples (INCLUDING JASMINE) so 10x10 equals 100 so the answer is 100

Answer:

Step-by-step explanation:

10*10=100

including jasmine with her 9 friends we have 10 people giving away 10 samples of chocolate each. Every person has to give away 10 samples. So 10 times 10. Which gives us a 100. I hope i understood your question correctly.

your answer: 100 samples given out in total

Answer:

17×6=102 because he gave 2 boxes to his brother so he have 6 boxes

The half-life of the substance is approximately 17.78 days.

The exponential decay model for the mass of the substance can be written as:

\(m(t) = m0 \times e^{(-rt)},\)

where m0 is the initial mass, r is the decay rate parameter (as a decimal), and t is time in days.

If we want to find the half-life of the substance, we need to find the value of t when the mass has decreased to half of its original value (m0/2). In other words, we need to solve the equation:

m(t) = m0/2

\(m0 \times e^{(-rt)} = m0/2\)

\(e^{(-rt) }= 1/2\)

Taking the natural logarithm of both sides, we get:

-ln(2) = -rt

t = (-ln(2)) / r

Substituting the value of r (0.039), we get:

t = (-ln(2)) / 0.039

t ≈ 17.78 days

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Answer:

9

Step-by-step explanation:

Answer:

The required values are a = 29°, b = 20°

Step-by-step explanation:

Angles and Lines

The image shows two lines crossing at a point where three angles are marked: 57°, 7b-17, and 2a-1.

It can be noted that 57° and 7b-17 are linear angles whose sum is 180°:

57° + 7b - 17° = 180°

Solving for b:

7b = 180° + 17° - 57°

7b = 140°

b = 140°/7 = 20°

b = 20°

It can also be noted that 57° and 2a-1 are vertical angles (opposite angles). Vertical angles are congruent, thus:

57° = 2a - 1°

Adding 1:

2a = 58°

a = 29°

The required values are a = 29°, b = 20°

Answer:To completely fill in the basketball court, Glenwood High School will need 60 cubic yards of concrete.

Since one bag of concrete fills 0.5 cubic yards, we can calculate the number of bags needed by dividing the total cubic yards by the cubic yards per bag:

Number of bags = 60 cubic yards / 0.5 cubic yards per bag

Number of bags = 120 bags

Therefore, Glenwood High School needs to order at least 120 bags of concrete to completely fill in the basketball court. Since the school ordered more than enough concrete to completely fill in the court, they likely ordered more than 120 bags of concrete.

Step-by-step explanation:

Answer:

1:5:6

Step-by-step explanation:

The greatest common factor is 2, so divide by 2 for all of them.

Answer:

5m + 37 = 79.50

Step-by-step explanation:

Answer:

its option A

Step-by-step explanation:

Answer:

the answer is 18.

Answer:

10.5 units squared

Step-by-step explanation:

just count the squares up or use the formula (a+b)/2 * h .

Not sure what "each square is worth means" sorry, if you clarify I can answer

one square is 2 cm swuared.

trapezoid area = 1/2h(b1+b2)

area = 1/2(6)(10+4)

area = 3*14

area =42

Answer:

we haul y=.045x+20

you haul y=1x

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Answer:

equals 1864 and this head and this talk

Tripling the linear size of an object multiplies its area by a factor of nine.

When the linear size of an object is tripled, the area of the object is multiplied by 9.

This can be understood by considering the relationship between the linear size and the area of an object. If we assume that the object has a regular shape and the linear size refers to the length of its sides, then the area is directly proportional to the square of the linear size.

Let's denote the initial linear size of the object as L and the initial area as A. When the linear size is tripled, it becomes 3L. According to the square proportionality, the new area (A') can be expressed as:

A' = (3L)^2

A' = 9L^2

Comparing A' with the initial area A, we can see that A' is 9 times larger than A. Therefore, tripling the linear size of an object multiplies its area by 9.

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The value of y is -2.

What is coordinate of point?

The coordinates are a pair of numbers that, using the horizontal and vertical lines, precisely pinpoint a point's location on a cartesian plane. typically represented by (x, y), the point's x and y values on a graph. There are two coordinates in every point or ordered pair.

Given points are (0,y) and (2,4)​.

The formula of slope of a line that passes through the points (x₁, y₁) and (x₂, y₂) is (y₂ - y₁)/(x₂ - x₁).

The slope of the given line is (4 - y)/(2 - 0) =  (4 - y)/2.

Again given that the slope of the line is 3.

Therefore,

(4 - y)/2 = 3

Multiply both sides by 2

4 - y = 6

Subtract 4 from both sides:

-y = 2

Multiply both sides by -1:

y = -2

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Answer:

The standard deviation of the sampling distribution of the sample wait times is of 0.8 minutes.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30. Otherwise, the mean and the standard deviations holds, but the distribution will not be approximately normal.

Standard deviation 4 minutes.

This means that \(\sigma = 4\)

A sample of 25 wait times is randomly selected.

This means that \(n = 25\)

What is the standard deviation of the sampling distribution of the sample wait times?

\(s = \frac{4}{\sqrt{25}} = 0.8\)

The standard deviation of the sampling distribution of the sample wait times is of 0.8 minutes.

The eigenvalues of the symmetric matrix [ [8, 1], [1, 8] ] are 9 and 7. To find the eigenvalues of a matrix, we need to solve the characteristic equation det(A - λI) = 0, where A is the given matrix, λ is the eigenvalue, and I is the identity matrix.

In this case, the characteristic equation becomes:

det([8 - λ, 1], [1, 8 - λ]) = 0.

Expanding the determinant, we have:

(8 - λ)^2 - 1 = 0,

Simplifying further:

64 - 16λ + λ^2 - 1 = 0,

λ^2 - 16λ + 63 = 0.

Solving this quadratic equation, we find two eigenvalues: λ = 9 and λ = 7.

For each eigenvalue, we need to find the dimension of the corresponding eigenspace. To determine the eigenspaces, we need to solve the equations (A - λI)x = 0, where x is a non-zero vector.

For λ = 9, solving (A - 9I)x = 0 gives us x = [1, -1] as the eigenvector. The dimension of the eigenspace is 1.

For λ = 7, solving (A - 7I)x = 0 gives us x = [1, 1] as the eigenvector. Again, the dimension of the eigenspace is 1.

Since the sum of the dimensions of the eigenspaces is equal to the dimension of the matrix (which is 2 in this case), the matrix is orthogonally diagonalizable.

In summary, the eigenvalues of the symmetric matrix [ [8, 1], [1, 8] ] are 9 and 7. The dimension of the eigenspace corresponding to each eigenvalue is 1. The matrix is orthogonally diagonalizable.

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The number of people aged 18-24 enrolled is 0.9.

The index for Florida is calculated as the percentage of people aged 18-24 enrolled in college or graduate school in Florida divided by the percentage of people aged 18-24 enrolled in college or graduate school in the United States.

Percentage is a way of representing a fraction or proportion of a number as a part of 100. It is commonly used to express a ratio as a proportion of 100

So, the index for Florida can be calculated as follows:

Index = (31.7%) / (34%) = 0.932

Round to the nearest tenth, the index for Florida is 0.9. This means that Florida's enrollment rate for people aged 18-24 in college or graduate school is 93.2% of the national average.

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