(a) Whats the area of a rectangular field is 3888 m. If the length of the field is 72 m, what is its width?

(b)The perimeter of a rectangular painting is 374 cm. If the width of the painting is 88cm, what is its length?

Answer:

The best chart to show how your department's expenses compare to the total company's expenses, and hopefully save employee jobs, would be:

Pie Chart

Step-by-step explanation:

She can afford to pay $1296 per month.

Given that Maggie makes $57,600 a year, to determine how much she can afford to pay for rent each month if she budgets 27% of her gross monthly income, the following calculation must be performed:

Therefore, she can afford to pay $1296 per month.

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Answer:

Degrees = Radians x 180/π

or

Degrees = 57.2958  x radians

Step-by-step explanation:

1 radian = 180/π degrees

1 radian = 57.2958 degrees

Multiply radians by this factor of 57.2958  to get the equivalent measure in degrees

π radians = 180°

2π radians = 360° which is the number of degrees in a circle

For anything greater than 2π radians you will have to subtract 360°

For example, 7 radians using the formula is 7 x (57.2958  ) ≈ 401.07°

But this still falls in the first quadrant, so relative to the x-axis it is
401.07 - 360 = 41.07°

To determine whether the sequence \(\(a_n = \frac{1}{3n^4}\)\) is increasing, decreasing, or not monotonic, we can analyze the behavior of the terms as \(\(n\)\)increases.

Let's calculate the values of \(\(a_n\)\) for a few values of \(\(n\)\) to observe any patterns:

\(\(a_1 = \frac{1}{3(1)^4} = \frac{1}{3}\)\)

\(\(a_2 = \frac{1}{3(2)^4} = \frac{1}{48}\)\)

\(\(a_3 = \frac{1}{3(3)^4} = \frac{1}{243}\)\)

\(\(a_4 = \frac{1}{3(4)^4} = \frac{1}{768}\)\)

We can see that as \(\(n\)\) increases, the values of \(\(a_n\)\) are decreasing. This indicates that the sequence is decreasing.

To formally prove this, we can compare the terms \(\(a_n\)\) and \(\(a_{n+1}\)\) for any \(\(n\)\) :

\(\(a_n = \frac{1}{3n^4}\)\)

\(\(a_{n+1}\) = \(\frac{1}{3(n+1)^4}\)\)

To determine if \(\(a_n\)\) is less than \(\(a_{n+1}\)\) , we can simplify and compare the fractions:

\(\(\frac{1}{3n^4} < \frac{1}{3(n+1)^4}\)\)

Cross-multiplying and simplifying:

\(\(3(n+1)^4 < 3n^4\)\)

Expanding the binomial and further simplifying:

\(\(n^4 + 4n^3 + 6n^2 + 4n + 1 < n^4\)\)

Since the left side of the inequality is positive and the right side is \(\(n^4\)\) (which is positive for all \(\(n\))\) , we can see that the inequality is not true for any \(\(n\).\) Therefore, \(\(a_n\)\) is always less than \(\(a_{n+1}\)\) , indicating that the sequence is decreasing.

In conclusion, the sequence \(\(a_n = \frac{1}{3n^4}\)\)  is a decreasing sequence.

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Answer:

It depends on what the question is.

Step-by-step explanation:

Answer:

With what, I don't see anything?

Answer:

It is C i believe

Step-by-step explanation:

Answer:

104

Step-by-step explanation:

A rhombus diagonal bisect each other so that means half of the diagonal is equal to the other half.

Applying that, this means

Since they are equal we can divide AC by 2 to find AE and EC.

20/2=10

AE=10, EC=10

Same for DB

48/2=24

DE=24, EB=24

A rhombus diagonals are perpendicular to each other so each middle angle will measure 90 degree.

Looking closer, a rhombus has 4 right triangles. We only need to use one.

Look at triangle AEB. We know AE=10 and EB=24 and Angle E=90. We can apply pythagorean theorem to find side AB.

\( {ae}^{2} + {db}^{2} = {ab}^{2} \)

\( {10}^{2} + {24}^{2} = {ab}^{2} \)

\(100 + 576 = ab {}^{2} \)

\(676 = {ab}^{2} \)

\( \sqrt{676} = 26\)

The perimeter of rhombus is equal to

4a, where a is the length of one side.

One side measures 26 so we can plug that in.

\(26 \times 4 = 104\)

P = 0.75m represents the proportional relationship, therefore, the profit earned for each muffin sold is: $0.75.

If two variables, i.e. P and m are directly proportional to each other, the relationship between them can be represented as P = km, where k is the constant.

Given that P = 0.75m represents the proportional relationship between the profit earned and muffins sold, the constant, k, is 0.75, which is the profit earned for each muffin sold.

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In probability theory, a probability distribution describes the likelihood of various outcomes occurring in a random experiment. It assigns probabilities to each possible outcome, such as the binomial, normal, or Poisson distributions.

The variable x represents the count of the number of defective items found in a random sample of 10 items from the production run. Since the production process is expected to produce 2% defective items when functioning correctly, we can infer that the probability of finding a defective item in the random sample is 2%.

To further analyze the variable x, we can consider it as a binomial random variable. This is because we have a fixed number of trials (10 items in the random sample) and each trial can result in either a defective or non-defective item.

The probability distribution of x can be calculated using the binomial probability formula, which is

\(P(x) &= \binom{n}{x} p^x (1-p)^{n-x} \\\\&= \dfrac{n!}{x!(n-x)!} p^x (1-p)^{n-x}\),

where n is the number of trials, p is the probability of success (finding a defective item), x is the number of successes (defective items found), and (nCx) is the combination formula.

In this case, n = 10, p = 0.02 (2% probability of finding a defective item), and x can range from 0 to 10. By plugging in these values into the binomial probability formula, we can determine the probability of obtaining each possible value of x.

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-47, -31, 16, 36 - No real explaination, -47 is the lowest of them all the 36 is the highest number of them all.

Answer:

-47, -31, 16, 36

Step-by-step explanation:

The line y = 2x + 6 shown in the data is the line of best fit of the data

What is line of best fit?

There are many points of the data and by plotting the points on the graph, a single line cannot pass through all the points.

Line of best fit minimize the distance between the line and the points of the data

The points which are plotted on the graph in red are the points of the data and y = 2x + 6 is the line of best fit of the data.

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The polynomial that satisfies the conditions is: p(t) = (1/4)(t - 1)² (t - 2)³

This polynomial has a root of multiplicity 2 at t = 1 and a root of multiplicity 3 at t = 2, and also satisfies p(0) = 2 and p'(0) = 1.

The other root of p(t) can be found by factoring the polynomial further, but since the degree of the polynomial is 6, it will have 3 additional roots, which can be found using various mathematical methods such as the Rational Root Theorem or numerical methods.

Polynomials are mathematical expressions that involve variables raised to a power and are combined using addition and subtraction operations. The degree of a polynomial is the highest power of the variable in the expression.

A zero of a polynomial is a value of the variable for which the polynomial evaluates to zero. The multiplicity of a zero is the number of times the factor (t - zero) appears in the polynomial's factorization.

Given the conditions that the polynomial p(t) has a zero of multiplicity 2 at t = 1 and a zero of multiplicity 3 at t = 2, we can write p(t) as the product of factors (t - 1)² and (t - 2)³:

p(t) = a(t - 1)² (t - 2)³

where a is some constant. To find the value of a, we use the fact that p(0) = 2 and p'(0) = 1. We evaluate p(0) and p'(0) using the polynomial expression above, then solve for a.

First, we find p(0):

p(0) = a(0 - 1)² (0 - 2)³ = a(-1)² (-2)³ = a * 8

Next, we find p'(0):

p'(t) = 2a(t - 1)(t - 2)³ + a(t - 1)² * 3(t - 2)²

p'(0) = 2a(-1)(-2)³ + a(-1)² * 3(-2)² = 16a + 12a = 28a

Now that we have expressions for p(0) and p'(0), we can solve for a:

p(0) = a * 8 = 2 => a = 1/4

p'(0) = 28a = 1 => 28 * 1/4 = 1

So the polynomial that satisfies the conditions is:

p(t) = (1/4)(t - 1)² (t - 2)³

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Answer:

12.3246

Step-by-step explanation:

The equation to be solved is \(x^{2} -10=4x\)

Rearranging: \(x^{2} -4x-12=0\)

The quadratic formula is one way to solve this equation.

\(x=\frac{-b+\sqrt{b^{2} -4ac} }{2a}=\frac{12+\sqrt{12^{2}-4*1*4} }{2*1}\)

Note that only the positive variation of the quadratic formula was used. This is because it is the only variation of this formula that produces a positive result for this equation. This is not always true, so it is best to work both versions of the formula for problems like these.

\(x=\frac{12+\sqrt{160} }{2} =\frac{12+4\sqrt{10} }{2}=6+2\sqrt{10} =6+6.3246=12.3246\)

If the negative version of the quadratic equation was used, the final (incorrect) answer would be x= -0.3246.

Answer:

100

102

Step-by-step explanation:

Let the first even number be 2x

Let the next even number be 2x + 2

1/5 *(2x) + 2/3 (2x + 2) = 88

2/5 *x + 4/3 (x) + 4/3 = 88         Multiply by 15 to get rid of the fractions.

2*3 x + 20x + 20 = 88 * 15

6 x + 20x + 20 = 1320    

26x + 20 = 1320

26x = 1300

x = 1300/26

x = 50

2x = 100

2x + 2 = 102

1/5 * 100 = 20

2/3 * 102 = 34*2 = 68

20 + 68 = 88

Answer:

pls give me the brainliest

the answer is in the attached document

Answer:

1 13/15

You need to turn the mixed number into an improper fraction to multiply.

Finally, come the end of May, the company's tangible assets amount to $89,000, liabilities equates to $10,000 and equity has reached $79,000.

Here is a table for the given data:

Transaction Assets Liabilities Equity

Initial 0 0 0

1 50,000 0 50,000

2 10,000 10,000 0

3 25,000 0 25,000

4 -5,000 0 -5,000

5 15,000 0 15,000

6 -3,000 0 -3,000

7 -1,000 0 -1,000

8 -2,000 0 -2,000

Totals 89,000 10,000 79,000

Upon calculation of the conclusive sums for assets, liabilities and equity it can be determined that:

Assets stand at $89,000 being composed of an investment total of $50,000, office equipment worth $10,000, billed services in the amount of $25,000, as well as a received cash sum of $15,000 offset by rent expenses of $5,000, utility costs of $3,000, insurance payments of $1,000 and a withdrawal of $2,000.

Liabilities also exist however are far lower at only $10,000 linked to office equipment paid on account.

Equity stands at $79,000 combining the previously detailed assets minus their respective costs with regards to rent, utilities, insurance and withdrawal.

Finally, come the end of May, the company's tangible assets amount to $89,000, liabilities equates to $10,000 and equity has reached $79,000.

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Jack Hines, the owner of TechVision.com Web Sites, began business operations on May 1 of this year. During the month of May, the business completed the following transactions:

Invested $50,000 cash into the business.

Purchased office equipment for $10,000 on account.

Billed customers $25,000 for web design services.

Paid $5,000 cash for office rent.

Received $15,000 cash from customers for the previously billed services.

Paid $3,000 cash for utilities.

Paid $1,000 cash for business insurance.

Withdrew $2,000 cash for personal use.

Can you provide a summary of these transactions and calculate the ending balances for assets, liabilities, and equity?

Answer:

Answer would be 8 months if you start with 30 times 8 u will get 240 add the intial fee of $25 and you will have 265 so the answer is 8.

Step-by-step explanation:

Ms. Jones receives the produce box for 8 months. as of the given conditions

The equation model has defined as the model of the given situation in the form of an equation using variables and constants.

here,
As mentioned in the question, a monthly produce box is delivered to Ms. Jones' door. There is an initial set-up fee of $25.00 plus $30.00 for each month. Ms. Jones spent $265

Let the number of months be x,
According to the question,
25 + 30x = 265
30x = 240
x = 8

Thus, Ms. jones receives the produce box for 8 months. as of the given conditions

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Answer:

n x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

Step-by-step explanation:

The proof that (n+5)^2(n+3)^2 is a multiple of 4 is below

We can prove that (n+5)^2(n+3)^2 is a multiple of 4 by showing that both (n+5)^2 and (n+3)^2 are multiples of 4.

From the question, we can see that the exponents of both factors is 2

When these exponents are added, we have

Sum = 2 + 2

Evaluate the sum

Sum = 4

4 is a multiple of 4

Hence,  (n+5)^2(n+3)^2 is a multiple of 4

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The inequality that models Cassie situation is t ≥ 49.25  

Inequalities are mathematical expressions involving the symbols >, <, ≥ and ≤.

Cassie is swimming backstroke for her team at the Tri-County Swim Meet. The fastest time so far is 49.25 seconds. Cassie wants to either beat or tie for the fastest time.

The inequalities that models the story is as follows:

let

Cassie has to equal the record or beat the record.

Therefore, the inequalities that represent the story is t ≥ 49.25

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Answer:

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope: 1

y-intercept: 0,-1

Answer:

11x²-9x+14

Step-by-step explanation:

To find this just subtract the polynomials and combine like terms

we have

7x²-3x+10-( -4x²+6x-4)

Which simplifies to

11x²-9x+14

Answer:

There is a 9/10 probability that the marble will not be yellow.

Step-by-step explanation:

If there are a total of ten marbles, and there is one yellow marble, there is a

1 yellow marble / 10 total marbles chance of getting a yellow marble. Then subtract it from 10/10 to get the probability of NOT getting a yellow marble.

10/10 - 1/10 = 9/10.

Answer:

9/10

Step-by-step explanation:

I THINK I THINK I THINK

Answer:

13 over 22

Step-by-step explanation:

because you want to change the denominator to where they can match. So 22 is where 11 and 2 can match. then you want to multiply the amount you multiplied with the denominator so 1 over 11 would be 2 over 22. And 1 over 2 would be 11 over 22. and then you can add. 11 plus 2 is 13 and you can keep the denominator the same. Therefore, the answer would be 13 over 22

hope i helped.

 The value of f(9.5), to the nearest hundredth, is 58.61.To find the value of f(9.5), we need to first determine the equation of the exponential function f(x).

We know that f(-1) = 24 and f(9) = 51, so we can use these two points to find the general form of the function.
Let's assume that the exponential function takes the form f(x) = a(b^x), where a is a constant and b is the base of the exponential function. Using the point (-1, 24), we get:

24 = a(b^-1)
Solving for a, we get:
a = 24(b)
Similarly, using the point (9, 51), we get:
51 = 24(b^9)
Solving for b, we get:
b = (51/24)^(1/9)
Substituting this value of b into the equation for a, we get:
a = 24((51/24)^(1/9))
So the equation for the exponential function is:
f(x) = 24((51/24)^(1/9))^x
Now, we can find the value of f(9.5) by plugging in x = 9.5 into this equation:
f(9.5) = 24((51/24)^(1/9))^9.5
Using a calculator, we get:
f(9.5) ≈ 58.61

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Step-by-step explanation:

answers...................

The area between two negative scores can be found by taking the absolute difference between the two scores.

The area between two negative scores can be found by taking the absolute difference between the two scores. This is because the absolute difference gives us the distance between the two scores without considering their signs.

To calculate the area between two negative scores, follow these steps:

1. Identify the two negative scores.
2. Subtract the smaller negative score from the larger negative score.
3. Take the absolute value of the result to remove the negative sign.
4. The absolute difference between the two negative scores represents the area between them.

For example, let's say we have two negative scores, -5 and -10. To find the area between them, we subtract -5 from -10, resulting in -10 - (-5) = -10 + 5 = -15. Since we are interested in the distance, we take the absolute value of -15, which gives us 15. Therefore, the area between -5 and -10 is 15.

The absolute difference between two negative scores gives us the area between them. This approach is applicable whenever we want to find the distance or area between any two numbers, not just negative scores.

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The function has a vertical asymptote at x = -5 because the logarithm function approaches negative infinity as x approaches -5 from the left side.

For the function y = 4x² - 2:

Domain: The domain of the function is all real numbers because there are no restrictions on the input values of x.

Range: The range of the function depends on the value of the coefficient of the x² term, which is positive in this case. Since the coefficient is positive, the parabola opens upwards, and the minimum value is achieved at the vertex. The vertex of the parabola is (0, -2), so the range of the function is y ≥ -2, which means it includes all values greater than or equal to -2.

Asymptote: Since it is a quadratic function, it does not have a horizontal asymptote. However, it does have a vertical asymptote because the function extends indefinitely in the y-direction.

Vertical asymptote: None.

For the function y = -log(x + 5):

Domain: The domain of the function is the set of all real numbers greater than -5 because the argument of the logarithm function (x + 5) must be positive.

Domain: x > -5.

Range: The range of the logarithm function is all real numbers. Since there is a negative sign in front of the logarithm function, the range of this function is y ≤ 0, which means it includes all values less than or equal to 0.

Range: y ≤ 0.

Asymptote: The function has a vertical asymptote at x = -5 because the logarithm function approaches negative infinity as x approaches -5 from the left side.

Vertical asymptote: x = -5.

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