Write a numerical expression for the difference of six and two divided by four

Answer:

False

Step-by-step explanation:

1+1=2 is clearly true.

2+3=4 is clearly false.

x if and only if y has a value of true if x and y are both true or both false. It is false otherwise.

So, true if and only if false has a value of false, so the answer is \(\boxed{false}\)

The correct answer is B. created in an iterative and incremental manner.

Unlike traditional Work Breakdown Structures (WBS), evolutionary WBSs are developed in an iterative and incremental manner. This means that they are built and refined over time as the project progresses, allowing for adjustments and additions to be made as new information becomes available. The evolutionary WBS is not organized in a standard manner across all projects (A) and it is not specifically designed for comparison to past projects (C). Therefore, the answer is B. created in an iterative and incremental manner.

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Answer: 4

Step-by-step explanation:

\(A=7.52=\frac{1}{2}ac \sin B\\\\7.52=\frac{1}{2}(a)(6)\sin 40^{\circ}\\\\a=\frac{7.52}{\frac{1}{2}(6)(\sin 40^{\circ})}\\\\a \approx 4\)

Answer:

1019/250 x

Step-by-step explanation:

4x1+

0x1

10

+

7x1

100

+

6x1

1000

Answer:

15% per year

Step-by-step explanation:

the population rate per year

Bill first got his honeybees after 1 year and he lost his colony after 3 years.

From the question, we have the following parameters that can be used in our computation:

h(t) = -16t⁴ + 160t² - 144

Divide through by 4

So, we have

h(t) = -4t⁴ + 40t² - 36

Set the function to 0

-4t⁴ + 40t² - 36 = 0

Expand the equation

4t⁴ - 4t² - 36t² + 36 = 0

Factorize the expression

4(t⁴ - 1) - 9 * 4(t² - 1) = 0

Express t⁴ - 1 as difference of two squares

4(t² - 1)(t² + 1) - 9 * 4(t² - 1) = 0

Factor out 4(t² - 1)

4(t² - 1)(t² - 9) = 0

This gives

(t² - 1)(t² - 9) = 0

When solved for t, we have

t = 1 and t = 3

This means that Bill first got his honeybees after 1 year and he lost his colony after 3 years.

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Question

Bill keeps a colony of honeybees on his property. He has created an expression to represent the number of honeybees that are in the colony t years after he decided to create the colony.

The expression Bill created is -16t4 + 160t2 – 144.

After deciding to create the colony, it took a fair amount of time to prepare before actually getting bees in his colony. After some time, the population in the colony started to decrease; eventually Bill lost his colony.

How could you use Bill’s expression to find out when Bill first got his honeybees and when he lost his colony?

Answer:

D

Step-by-step explanation:

f(x)=20 cos (pi/5x + pi/2)+25

Answer and Step-by-step explanation:

We want to prove that 0.5555... = 5/9.

First, let's set 0.555... equal to x:

x = 0.555...

Now multiply this by 10:

10x = 5.555...

Now subtract the original from this new one:

   10x = 5.555...

-       x = 0.555...

______________

     9x = 5

Note that we could cancel all the recurring terms because they were the same for both 5.555... and 0.555... since the 5's go up to infinity.

We now have 9x = 5, so divide both sides by 9:

x = 5/9, as desired

Answer:

5

Step-by-step explanation:

Answer:

100,000

Step-by-step explanation:

Investment ratio = 3 : 2

Rate = 5% and 4% simple interest

Total interest after 2 years = 9200

Let total investment = t

(3/5t * 0.05 * 2) + (2/5t * 0.04 * 2) = 9200

3/5t * 0.1 + 2/5t * 0.08 = 9200

0.06t + 0.032t = 9200

0.092t = 9200

t = 9200 / 0.092

t = 100,000

Answer:

x=2

Step-by-step explanation:

-2 + x = -x + 2

Isolate the variable

2x = 4

Simplify

x = 2

Answer:

x = 2

Step-by-step explanation:

you want to move the variables to one side, the numbers to the other side.

x = -x+4

then you move the other x

2x = 4

x = 2

Substituting a cumulative area of 0.2420, a mean of 0, and a standard deviation of 1 into the inverse normal distribution, the z-score is -0.71 to two decimal places.

Given that the cumulative area of 0.2420, a mean of 0, and a standard deviation of 1, the required z-score has to be determined.We know that the standard normal distribution with mean 0 and standard deviation 1 is denoted as N(0, 1). The inverse normal distribution with a cumulative area of x is the inverse of the normal distribution with cumulative area x. Let z be the z-score corresponding to a cumulative area of x, then we can say that P(Z ≤ z) = x, where P is the cumulative distribution function of the standard normal distribution.

Substituting the given values in the formula, we get:0.2420 = P(Z ≤ z)We need to find the corresponding z-value using inverse normal distribution. Therefore, we take the inverse of the cumulative distribution function, as follows:z = invNorm(0.2420)z = -0.71 (rounded to two decimal places)Thus, the required z-score is -0.71.

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The average rate of change over the interval x = 3 and x = 7 is 30

The average rate of change of a function, graph, table or ordered pair is simply the slope of the relation

The equation is given as

g(x) = 2ˣ - 1

The interval is given as:

x = 3 and x = 7

Start by calculating g(3) and g(7)

So, we have

g(3) = 2³ - 1 = 7

g(7) = 2⁷ - 1 = 127

So, the average rate over these intervals is calculated as:

Average rate = [g(b) - g(a)]/[b - a]

This gives

Average rate = [g(7) - g(3)]/[7 - 3]

Substitute known values

Average rate = [127 - 7]/[7 - 3]

Simplify

Average rate = 120/4

Average rate = 30

Hence, the average rate of change is 30

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The domain of the function exists for when x ≤ 2 while the range exists for the value of y >0

For f⁻¹(x), the domain and the range exists on all real values

Given the expression

f(x)=√−2x+4

Get the inverse of the function f⁻¹(x)

ley u = f(x)

y = √−2x+4

Replace x as y

x = √−2y+4

Make y the subject of the formula

x² = -2y + 4

-2y = x²-4

y = (x²-4)/-2

Hence f⁻¹(x)=  (x²-4)/-2

For f(x), the domain of the function exists for when x ≤ 2 while the range exists for the value of y >0

For f⁻¹(x), the domain and the range exists on all real values

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Answer:

\(2xy\sqrt{2x}\)

Step-by-step explanation:

Because this is a whole term in itself (no addition or subtraction), you can just directly find squares and factor them out. First, when looking at 8, you can factor out 4, to get 2 on the outside. Then, while looking at x cubed, you can factor out x squared, to get x on the outside, and when looking at y squared, you can just pull that outside itself, to get y. Now, we have one 2 and one x remaining, for a total of \(2xy\sqrt{2x}\)

1 can only be divided by one other integer except1, hence it is not a prime number.

Any natural number higher than 1 that is not the sum of two smaller natural numbers is referred to be a prime number. A composite number is a natural number greater than one that is not prime.

Given this definition, 1 is not a prime number because it can only be divided by one other integer, which is 1 itself.

Based on the explanation above, we can then conclude that 1 is not a prime number.

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The statement is true. If the two nonadjacent angles are formed by two intersecting lines, then the  angles are congruent

When two non-adjacent angles are formed with two intersecting lines then they are called​ opposite angles.

There are some properties of nonadjacent angles:

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Answer:

y=-3x+12 equation of line

however slope is -3

Step-by-step explanation:

y=mx+c

(12-3)/(0-3)=9/-3=-3

y=-3x+c

3=-3(3)+c

3=-9+c

+9

12=c

y=-3x+12

Answer:

The pre-image moved 5 units horizontally to form the purple triangle, B.

The pre-image moved 4 units vertically to form the green triangle, C.

Step-by-step explanation:

Zoe walks from her house to a bus stop that is 460 yards away. The varying distances would depend on where Zoe begins her walk. if she starts closer to the bus stop, she would walk a shorter distance.

The varying distances would refer to the different distances Zoe might walk on different occasions. For example, she might take different routes or make detours, causing the actual distance she walks to vary.

However, without more information about Zoe's specific routes or circumstances, it is not possible to provide more detailed information about the varying distances.

However, if she starts closer to the bus stop, she would walk a shorter distance.

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Small, random genetic changes that occur over generations is known as genetic drift.

Genetic drift is an evolutionary process in which the frequency of a given gene allele varies randomly across a population. The impacts of genetic drift can be severe, often causing traits to become excessively common or to vanish from a community, even though it predominantly affects small, isolated populations.

Some people might merely by coincidence leave behind a few more offspring (and genes, of course!) than others in each generation. The next generation's DNA and other genetic components will come from the "fortunate" people, not necessarily the healthier or "better" people.

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Answer: 35.

Step-by-step explanation: 33 + 34 + 35 is 102. Your 35 is the largest of the three.

Answer:

False

Step-by-step explanation:

the 3 outside the parenthesis multiplies each term in the parenthesis, so

3(7 - 2 = 3 × 7 + 3 × - 2