4x⁰y–²z³ divided by 4x

The original expression is equivalent to -1.63.

What is an expression?

In mathematics, an expression is a combination of numbers, symbols, and operators (such as +, -, ×, ÷, and parentheses) that represents a mathematical quantity or relationship. Expressions are simple or complex, and they can involve one or more variables.

We can simplify the expression 0.87 – 4.5 – [5.8 + (-7.8)] by following the order of operations (PEMDAS) and performing the operations inside the brackets first:

0.87 - 4.5 - [5.8 + (-7.8)] = 0.87 - 4.5 - [-2.0]

Next, we can simplify the expression inside the second set of brackets by multiplying -1 by each term inside:

0.87 - 4.5 - [-2.0] = 0.87 - 4.5 + 2.0

Finally, we can combine like terms by adding -4.5 and 2.0:

0.87 - 4.5 + 2.0 = -1.63

Therefore, the original expression is equivalent to -1.63.

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The answer to part a) is that next year, in 2023, NCSSM will use approximately 55,485 sheets of paper. In part b), total of approximately 363,353 sheets of paper will be used from 2018 through the end of 2030.


a) To calculate the paper used in 2023, we start with the initial amount used in 2018, which is given as 60,000 sheets of paper. We then need to calculate the decrease in paper use over the years. The rate of decrease is given as 2.25%, which can be written as 0.0225 in decimal form. To find the paper used in 2023, we multiply the initial amount by (1 - rate of decrease)^5, since five years have passed from 2018 to 2023.

b) To calculate the total paper used from 2018 to 2030, we need to sum up the paper used for each year in that time period. We start with the initial amount used in 2018, which is 60,000 sheets. Then we calculate the paper used each year using the same formula as in part a), multiplying the initial amount by (1 - rate of decrease)^n, where n represents the number of years since 2018. We sum up these values for the years 2018 to 2030, which is a total of 13 years.

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The exact value of sin(cos^-1(2/5)) is √21 / 5.

We know that cos(cos^-1(x)) = x for all x in [-1, 1]. Hence,

cos(cos^-1(2/5)) = 2/5

Now we need to find sin(cos^-1(2/5)).

We can use the identity sin^2(x) + cos^2(x) = 1 and substitute cos(x) = 2/5 to get:

sin^2(cos^-1(2/5)) + cos^2(cos^-1(2/5)) = 1

sin^2(cos^-1(2/5)) + (2/5)^2 = 1

sin^2(cos^-1(2/5)) = 21/25

Taking the positive square root (since sine is positive in the first and second quadrants), we get:

sin(cos^-1(2/5)) = √(21/25)

= √21 / 5

Therefore, the exact value of sin(cos^-1(2/5)) is √21 / 5.

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Answer: Jim earned $11, Tom earned=$16,  Bill earned=$33

Step-by-step explanation:

Let Jim earned $x

Hence,  Tom earned $(x+5)

             Bill earnen $(3x)

Thus,

3x+(x+5)+x=60

3x+x+5+x=60

5x+5=60

5x+5-5=60-5

5x=55

Divide both parts of the equation by 5:

x=$11

Hence, Jim earned $11

            Tom earned $(11+5)=$16

            Bill earned $(3(11))=$33

Answer:

A. 5

Step-by-step explanation:

Given the area of the circle is 25pi. We will divide by pi. Then, the radius of the circle is r= 5.

Answer:

always

Step-by-step explanation:

Zero is always greater than any negative integer.

The approximate percentage of women with platelet count between 3 and 4.1 is 350

We should know that platelet deals the cells that are found in our body which assemble together when they discover bad blood in the cells.

The range of women is given as 3-4.1

The average of the women is \(\frac{3+4.1}{2}=\frac{7.1}{2}\)

Simplifying the expression we have

= 3.5

The appromimate percentage is 3.1*100=350 women

In conclusion the approximate percentage of women with blood platelet is 350 women

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Answer:

i don no

Step-by-step explanation:

Aaron can arrange the 13 songs on the CD in 6,227,020,800 different ways.

To determine the number of different ways Aaron can arrange the 13 songs on the compact disk (CD), we need to find the total number of permutations for the songs. Since there are 13 songs, we can calculate this using the formula:

Permutations = 13!

Step-by-step explanation:

1. Calculate the factorial of 13 (13!).
2. The factorial function is the product of all positive integers up to that number (e.g., 5! = 5 x 4 x 3 x 2 x 1).

So, 13! = 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 6,227,020,800

Therefore, Aaron can arrange the 13 songs on the CD in 6,227,020,800 different ways.

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Answer:

12b+2p=30

Step-by-step explanation:

12b+2p=30

you mulitply amount of books you buy by 12 bucks and the amount of pens you buy for 2 bucks and set it equal to 30 your maximum amount to spend

Answer:

12b + 2p = 30

Step-by-step explanation:

b - books

p - pens

Each book costs $12 and each pen is $2, so that would be 12b plus 2p because you don't know how many of each you buy. Then set that equal to 30 because that is the total amount that you spend.

12b + 2p = 30

Answer:

Two angles whose sum in 90 degrees

Step-by-step explanation:

The required manager has 12 fifty-dollar bills as of the given condition.

Let's denote the number of twenty-dollar bills as "x" and the number of fifty-dollar bills as "y".

We know that the convention manager has a total of 48 bills, so:
x + y = 48

We also know that the total amount of money she has is $1320, which can be expressed as:
20x + 50y = 1320

To solve for "y", we can rearrange the first equation to get:
y = 48 - x

Then substitute this expression for "y" in the second equation:

20x + 50(48 - x) = 1320

Expanding the expression and simplifying:
20x + 2400 - 50x = 1320
-30x = -1080
x = 36

So the manager has 36 twenty-dollar bills. To find the number of fifty-dollar bills, we can use the first equation:

x + y = 48

36 + y = 48

y = 12

Therefore, the manager has 12 fifty-dollar bills.

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Answer:

false 15 is a positive number

the initial expression is:

(a) The probability of ending up with two hits is approximately 0.1406.

(b) The probability of ending up with no hits is approximately 0.4219.

(c) The probability of ending up with exactly three hits is approximately 0.0156.

(d) The probability of ending up with at most one hit is approximately 0.8438.

To solve the given problem, we need to use the concept of binomial probability since each at-bat is independent and has the same probability of a hit. We'll use the batting average of 0.250 to calculate the probabilities.

The probability of a hit is given by the batting average, which is 0.250.

(a) To find the probability that she ends up with two hits:

Using the binomial probability formula, the probability of getting exactly two hits in three at-bats can be calculated as follows:

P(X = 2) = (3 choose 2) * \((0.250)^2 * (1 - 0.250)^(^3^ -^ 2^)\)

Calculating the values:

P(X = 2) = (3 choose 2) * \((0.250)^2 * (0.750)^1\)

P(X = 2) = 3 * 0.0625 * 0.750

P(X = 2) ≈ 0.1406

Therefore, the probability that she ends up with two hits is approximately 0.1406.

(b) To find the probability that she ends up with no hits:

Using the same binomial probability formula, the probability of getting no hits in three at-bats can be calculated as follows:

P(X = 0) = (3 choose 0) *\((0.250)^0 * (1 - 0.250)^(^3^ -^ 0^)\)

Calculating the values:

P(X = 0) = (3 choose 0) *\((0.250)^0 * (0.750)^3\)

P(X = 0) = 1 * 1 * 0.4219

P(X = 0) ≈ 0.4219

Therefore, the probability that she ends up with no hits is approximately 0.4219.

(c) To find the probability that she ends up with exactly three hits:

Using the same binomial probability formula, the probability of getting three hits in three at-bats can be calculated as follows:

P(X = 3) = (3 choose 3) \(* (0.250)^3 * (1 - 0.250)^(^3^ -^ 3^)\)

Calculating the values:

P(X = 3) = (3 choose 3) *\((0.250)^3 * (0.750)^0\)

P(X = 3) = 1 * 0.0156 * 1

P(X = 3) ≈ 0.0156

Therefore, the probability that she ends up with exactly three hits is approximately 0.0156.

(d) To find the probability that she ends up with at most one hit:

We can find this probability by calculating the sum of the probabilities of getting 0 hits and 1 hit.

P(X ≤ 1) = P(X = 0) + P(X = 1)

Substituting the calculated values:

P(X ≤ 1) ≈ 0.4219 + P(X = 1)

To calculate P(X = 1), we can use the binomial probability formula as before:

P(X = 1) = (3 choose 1) * \((0.250)^1 * (0.750)^(^3^-^1^)\)

Calculating the values:

P(X = 1) = (3 choose 1) * \((0.250)^1 * (0.750)^2\)

P(X = 1) = 3 * 0.250 * 0.5625

P(X = 1) ≈ 0.4219

Substituting back into the equation:

P(X ≤ 1)

≈ 0.4219 + 0.4219

P(X ≤ 1) ≈ 0.8438

Therefore, the probability that she ends up with at most one hit is approximately 0.8438.

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Answer:

x = 3y

x + y = 24

The number of social media advertisement purchased is 18

And, the number of newspaper advertisements purchased is 6

Step-by-step explanation:

Let us assume the number of social media advertisement purchased be x

And, the number of newspaper advertisements purchased be y

As three social media advertisements for every one newspaper advertisement is purchased

So,

y = x ÷ 3

x = 3y

And it is ended by total of 24 advertisement

That means

x + y = 24 ............(1)

Now put the value of x in equation 1

3y + y = 24

4y = 24

y = 24 ÷ 4

= 6

x = 3y

= 6 × 3

= 18

Now  The equations are

x = 3y

x + y = 24

When n is not equal to 9, n² - 64 will have factors other than 1 and itself, which means it cannot be a prime number.

We have shown that 17 is the only prime number of the form n² - 64, as it satisfies both conditions stated above.

To prove that 17 is the only prime number of the form n² - 64, we need to show two things:

1. Show that 17 is indeed of the form n² - 64.

2. Show that no other prime number can be expressed in the form n² - 64.

Let's start with the first part:

1. To show that 17 is of the form n² - 64, we need to find a value of n such that n² - 64 equals 17. Solving the equation n² - 64 = 17, we get n² = 81. Taking the square root of both sides, we find n = ±9. So, n² - 64 is indeed equal to 17 when n = 9.

Now, let's move on to the second part:

2. To show that no other prime number can be expressed in the form n² - 64, we need to consider all possible values of n and check if n² - 64 is a prime number.

Let's assume there exists a prime number p such that p = n² - 64, where n is not equal to 9. Since p is a prime number, it can only be divisible by 1 and itself. However, when n is not equal to 9, n² - 64 will have factors other than 1 and itself, which means it cannot be a prime number.

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The normal cost per person based on the forming and solving equation 400 = 25(x - 8) is $24.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

More than one variable may be present inside a linear equation.

Suppose the normal cost per person is x.

Cost per person = x - 8

Number of students = 25

Total cost = number of students × cost per person

Total cost = 25(x - 8)

400 = 25(x - 8)

400 = 25x - 200

400 + 200 = 25x

x = 600/25

x = $24

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Answer:

Area = 600

Step-by-step explanation:

The area formula for rectangles is length x width. In this equation, the length is 20 and the width is 30, multiplying them together gets us the area of 600.

Answer:

x = 11, arc RB = 150°

Step-by-step explanation:

The secant- secant angle RDB is calculated as half the difference of its intercepted arcs, that is

∠ RDB = \(\frac{1}{2}\) ( RB - EC ), that is

5x - 10 = \(\frac{1}{2}\) ( 13x + 7 - 60 )

Multiply both sides by 2 to clear the fraction

10x - 20 = 13x - 53 ( subtract 13x from both sides )

- 3x - 20 = - 53 ( add 20 to both sides )

- 3x = - 33 ( divide both sides by - 3 )

x = 11

Thus

arc RB = 13x + 7 = 13(11) + 7 = 143 + 7 = 150°

The required speed in km/hr are 108km/hr and 25.704km/hr

Given the following conversion rate

Given that the speed of cheetah is 30meters per second. Converting to m/s will give:

30m/s = \(\frac{30m}{1s} \times \frac{1km}{1000m} \times \frac{3600s}{1hr} \\\)

30m/s = 30 * 3.6

30m/s = 108km/hr

For the person with speed of 7.14m/s, the value in km/hr is expresssed as:

7.14m/s = 7.14 * 3.6

7.14m/s = 25.704km/hr

Hence the required speed in km/hr are 108km/hr and 25.704km/hr

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Answer: -10 :))))

i hope this helps

The environment changed in such a way that, "guppies with small spots had a better chance of survival and reproduction, leading to an increase in their population and a decrease in the population of guppies with large spots".

Over many generations, guppies with small spots had a survival advantage in the river because the rocks on the river bottom became smaller. This made guppies with small spots harder for larger fish to see and catch, increasing their chances of survival and reproduction.

As a result, more guppies with the small spot gene passed it on to their offspring, leading to an increase in the population of guppies with small spots. At the same time, the population of guppies with large spots decreased as they were more visible to predators and had a lower chance of survival. This process of natural selection led to a change in the frequency of different traits within the population of guppies.

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Answer:

three

Step-by-step explanation:

Answer:

The circumference of the circle is approximately 19.8 centimetres.

Step-by-step explanation:

If the square has an area of 40 square centimetres, that means that the side length of the square is √40, or 2√10

The side length will be the diameter of the circle. Which is all we need to find its circumference.  The circumference of a circle is equal to pi times its diameter, so we say:

c = πd

c = 3.14 × 2√10

c = 6.28√10

c = 6.28 × 3.16

c = 19.8