please actually help me

Answer:

9.4

Step-by-step explanation:

a2+b2=c2

8^2 + 5^2 = c2

64 + 25 = 89

square root of 89 = 9.4

To find the dimensions of a rectangle with a perimeter of 76 m that maximizes its area, we can use the concept of optimization.

By using the formulas for the perimeter and area of a rectangle, we can set up an equation and solve for the dimensions that yield the maximum area.

Let's assume the length of the rectangle is L and the width is W. The perimeter of a rectangle is given by the formula P = 2L + 2W, and the area is given by A = LW.

Given that the perimeter is 76 m, we have 2L + 2W = 76. Rearranging this equation, we can express W in terms of L as W = (76 - 2L) / 2.

Substituting this expression for W into the area formula, we have A = L * [(76 - 2L) / 2].

To find the dimensions that maximize the area, we can take the derivative of the area function with respect to L, set it equal to zero, and solve for L. By finding the critical point and checking the endpoints, we can determine the values of L and W that yield the maximum area.

After obtaining the values of L and W, we can calculate their respective measurements in meters, which will give us the dimensions of the rectangle with the largest possible area.

To learn more about perimeter click here:

brainly.com/question/7486523

#SPJ11

Justin obtained a loan of $32,500 at 6% compounded monthly. He wants to know how long it will take to settle the loan with payments of $2,810 at the end of every month. So, it would take approximately 1 year and 2 months (rounded up) to settle the loan with payments of $2,810 at the end of every month.

To find the time it takes to settle the loan, we can use the formula for the number of payments required to pay off a loan. The formula is:

n = -(log(1 - (r * P) / A) / log(1 + r))

Where:
n = number of payments
r = monthly interest rate (annual interest rate divided by 12)
P = monthly payment amount
A = loan amount

Let's plug in the values for Justin's loan:

Loan amount (A) = $32,500
Monthly interest rate (r) = 6% / 12 = 0.06 / 12 = 0.005
Monthly payment amount (P) = $2,810

n = -(log(1 - (0.005 * 2810) / 32500) / log(1 + 0.005))

Using a calculator, we find that n ≈ 13.61.

Since the question asks us to round up to the next payment period, we will round 13.61 up to the next whole number, which is 14.

Therefore, it would take approximately 14 payments to settle the loan. Now, we need to express this in years and months.

Since Justin is making monthly payments, we can divide the number of payments by 12 to get the number of years:

14 payments ÷ 12 = 1 year and 2 months.

Therefore, if $2,810 was paid at the end of each month, it would take approximately 1 year and 2 months (rounded up) to pay off the loan.

To learn more about "Loan" visit: https://brainly.com/question/25696681

#SPJ11

The terminal point of sin t, cost, and tan t is:

sin t = 3/5
cos t = 4/5
tan t = 3/4


To find sin t, cos t, and tan t for the terminal point P(x, y) = (4/5, 3/5) determined by a real number t, we need to use the trigonometric ratios of sine, cosine, and tangent.

First, we need to find the values of x and y from the given coordinates of P. Since P is on the unit circle, we know that the distance from the origin to P is 1.

Therefore, we can use the Pythagorean theorem to find the value of the missing side:
x^2 + y^2 = 1^2
(4/5)^2 + (3/5)^2 = 1
16/25 + 9/25 = 1
25/25 = 1

So, x = 4/5 and y = 3/5.

Next, we can use the definitions of sine, cosine, and tangent to find their values for t:
sin t = y/1 = 3/5
cos t = x/1 = 4/5
tan t = y/x = (3/5)/(4/5) = 3/4

Then, we obtain:
sin t = 3/5
cos t = 4/5
tan t = 3/4

Know more about the terminal point  here:

https://brainly.com/question/1621860

#SPJ11

If the eigenvectors of a are the columns of the identity matrix (i), then a is a diagonal matrix. If the eigenvector matrix p is triangular, then a is a triangular matrix.

If the eigenvectors of a are the columns of the identity matrix (i), then a is a diagonal matrix. This is because the eigenvectors of a diagonal matrix are simply the columns of the identity matrix, and the eigenvectors of a matrix do not change under similarity transformations.

If the eigenvector matrix p is triangular, then a is a triangular matrix. This is because the eigenvector matrix p is related to the matrix a through the equation:

A = PDP⁻¹

where D is a diagonal matrix whose diagonal entries are the eigenvalues of a, and P is the matrix whose columns are the eigenvectors of a. If the matrix P is triangular, then the matrix A is also triangular. This can be seen by noting that the inverse of a triangular matrix is also triangular, and the product of two triangular matrices is also triangular.

To know more about eigenvectors here

https://brainly.com/question/31043286

#SPJ4

-- The given question is incomplete, the complete question is

"If the eigenvectors of A are the columns of I, then A is what sort of matrix? If the eigenvector matrix P is triangular, what sort of matrix is A?"

Answer: The slope is 2/2 aka 1

Step-by-step explanation:

you do

y2 - y1 over x2-x1

Answer:

-1

Step-by-step explanation:

slope formula is y2-y1/x2-x1

3-5/7-5= -2/2=-1

Answer: The actual distance is 68 miles.

Step-by-step explanation:

A dependent event is one in which the outcome of the first event affects the probability of the second event. In the given options, the pair of events that is dependent is "drawing a face card and then drawing a 3 without replacement from a standard deck of cards. So the correct option is D.

" This is because the probability of drawing a 3 without replacement is affected by whether or not a face card was drawn in the first selection. If a face card was drawn, then there are fewer face cards left in the deck, which reduces the probability of drawing a face card and a 3. Therefore, these two events are dependent on each other.

Learn more about dependent event

https://brainly.com/question/12138721

#SPJ4

Answer:

40%

8%

15%

37%

Step-by-step explanation:

The solutions are in the image

Answer:

30

Step-by-step explanation:

Because if you have 35 ducks and I remove 5 you only have 30

Answer:

30

Step-by-step explanation:

35-5=30

llllllllllllllllllllllllllllll lllll-5

count and there are 30 lines left

Answer:

Step-by-step explanation:

1)

In this question, we have been given Tank A initially contained 124 liters of water. It is then filled with more water, at a constant rate of 9 liters per minute.

1 minute = 9 liters

⇒ 60 seconds = 9 liters

⇒ 20 seconds = 3 liters

We need to find the amount of water in the tank A

a) when 4 minutes

Given that, 1 minute = 9 liters

Let y1 liters of water in the tank A after 4 minutes

So, we get an equation,

y1 = 9 × 4

y1 = 36 liters

36 + 124 (initial water level) = 160 liters

Hence, 160 liters of water in the tank A after 4 minutes been passed.

b) when 80 seconds

From given information, 20 seconds = 3 liters

Let y2 liters of water in the tank A after 80 seconds

So, we get an equation,

20 (y2) = 3 × 80

y2 = 12 liters

12 + 124 (initial water level) = 136 liters

Hence, 136 liters of water in the tank A after 80 seconds been passed.

Now we need to find the amount of time passed when Tank A contains the following amounts of water.

i) 151 liters

151 - 124 = 27 liters of more water filled.

As we know,  1 minute = 9 liters ..............................(Given)

Let t1 be the required time.

so, we get an equation,

9 × t1 = 1 × 27

t1 = 27 / 9

t1 = 3 minutes

This means, 3 minutes have passed when Tank A contains 151 liters of water.

ii) 191.5 liters

191.5 - 124 = 67.5 liters of more water filled.

As we know,  1 minute = 9 liters ..............................(Given)

Let t2 be the required time.

so, we get an equation,

9 × t2 = 1 × 67.5

t2 = 67.5 / 9

t2 = 7.5 minutes

t2 = 7 minutes 30 seconds

This means, 7 minutes 30 seconds have passed when Tank A contains 191.5 liters of water.

iii) 270.25 liters

270.25 - 124 = 146.25 liters of more water filled.

As we know,  1 minute = 9 liters ..............................(Given)

Let t1 be the required time.

so, we get an equation,

9 × t1 = 1 × 146.25

t3 = 146.25 / 9

t3 = 16.25 minutes

t3 = 16 minutes 15 seconds

This means, 16 minutes 15 seconds have passed when Tank A contains 270.25 liters of water.

----------------------------------------------------------------------------------------------------

2)

In this question, Tank B, which initially contained 80 liters of water, is being drained at a rate of 2.5 liters per minute.

⇒ 1 minute = 2.5 liters of water drained

⇒ 60 seconds = 2.5 liters

⇒ 10 seconds = 0.42 liters

We need to find the amount of water drained from tank B

a) after 30 seconds

Let x1 be the amount of water drained after 30 seconds

Given that, 1 minute = 2.5 liters

So, we get an equation.

10 (x1) = 30 × 0.42

x1 = 3 × 0.42

x1 = 1.26 liters

b) after 7 minutes

Let x2 be the amount of water drained after 30 seconds

Given that, 1 minute = 2.5 liters

So, we get an equation.

x2 = 7 × 2.5

x2 = 17.5 liters

Now, we need to find the time in which the water is draining when Tank B contains

i) 75 liters

80 - 75 = 5 liters of more water drained.

As we know,  1 minute = 2.5 liters water drained       ............(Given)

Let t1 be the required time.

so, we get an equation,

2.5 × t2 = 5

t1 = 5 / 2.5

t1 = 2 minutes

This means, after 2 minutes Tank B contains 5 liters of water.

ii) 32.5 liters

80 - 32.5 = 47.5 liters of more water drained.

As we know,  1 minute = 2.5 liters water drained       ............(Given)

Let t2 be the required time.

so, we get an equation,

2.5 × t2 = 47.5

t2 = 47.5 / 2.5

t2 = 19 minutes

This means, after 19 minutes Tank B contains 32.5 liters of water.

iii) 18 liters

80 - 18 = 62 liters of more water filled.

As we know,  1 minute = 2.5 liters water drained       ............(Given)

Let t3 be the required time.

so, we get an equation,

2.5 × t3 = 62

t3 = 5 / 2.5

t3 = 24.8 minutes

t3 = 24 minutes 48 seconds

This means, after 24 minutes 48 seconds Tank B contains 18 liters of water.

Learn more about an equation here:

https://brainly.com/question/649785

#SPJ1

For the year in which they earned $176,500, the partners will receive $52,950, $35,300, and $88,250 respectively.

Here let the partners be A, B, and C.

According to the question, A: B: C = 3: 2: 5

This implies that if the profits are divided into

3 + 2 + 5 = 10 equal parts, 3 of those parts will go to A, 2 of those parts will go to B and 5 of those parts will go to C.

Here the profits for the year are $176,500.

Now dividing them into 10 equal parts will give us the value of each part to be

$176, 500/10 = $17,650

Hence A will receive $17,650 X 3 = $52,950

B will receive $17,650 X 2 = $35,300

C will receive $17,650 X 5 = $88,250

To learn more about Ratios:

https://brainly.com/question/21138916

#SPJ4

Part A: Both communities' ways of expressing their populations represent functions because they satisfy the definition of a function, which states that for every input (time) there is exactly one output (population). In both cases, the population is a dependent variable that changes based on the independent variable of time. In the first community, the population increases by an average of 2.6 people per year, indicating a consistent and predictable relationship between time and population. In the second community, the population is described by a linear function, where the population decreases by 5.3 people per year. This also demonstrates a clear relationship between time and population, fulfilling the criteria of a function.

Part B: To compare the populations of the two communities over time, we can analyze the equations of their respective functions.

In the first community, the population increases by an average of 2.6 people per year. This means that for every year that passes, the population grows by 2.6 individuals. On the other hand, in the second community, the population decreases by 5.3 people per year. This indicates that for every year that passes, the population decreases by 5.3 individuals.

Based on these observations, we can conclude that the first community's population will eventually surpass the second community's population if the rate of population growth (2.6 people per year) is greater than the rate of population decline (5.3 people per year) in the second community.

For example, if we consider the population at "Year Zero," which is 26 people for both communities, and track the populations over time, we will see that as the years progress, the first community's population will outgrow the second community's population. This is because the first community is experiencing a positive growth rate, while the second community is facing a negative growth rate.

Therefore, under the condition where the rate of population growth in the first community is greater than the rate of population decline in the second community, the first community's population will be greater than the second community's population over time.

Evidence to support this can be observed by comparing the slopes of the two functions. The slope of the first community's function is positive (2.6), indicating population growth, while the slope of the second community's function is negative (-5.3), indicating population decline. This confirms that the first community's population will eventually exceed the second community's population.

To know more about Population visit-

brainly.com/question/30935898

#SPJ11

Answer:

120 cubed inches

Step-by-step explanation:

5 x (3 x 8)

5 x 24

120

Answer:

Step-by-step explanation:

Volume of rectangular prism = lwh

                                                 = 8 * 3 * 5

                                                 = 120 cubic inches

Answer:

Mass of brown egg = 3.5 grams

Mass of white egg = 2 grams

Step-by-step explanation:

Let

Mass of brown eggs = x

Mass of white eggs = y

3y + 2x = 13 (1)

5y + 4x = 24 (2)

Multiply (1) by 5 and (2) by 3 to eliminate y

15y + 10x = 65 (3)

15y + 12x = 72 (4)

Subtract (3) from (4)

12x - 10x = 72 - 65

2x = 7

x = 7/2

x = 3.5

Substitute x = 3.5 into (1)

3y + 2x = 13 (1)

3y + 2(3.5) = 13

3y + 7 = 13

3y = 13 - 7

3y = 6

y = 6/3

y = 2

Mass of brown egg = 3.5 grams

Mass of white egg = 2 grams

The system equation that models the amount of calories from fats (f) and proteins (p) that the individual can consume to reach 1,800 calories is: f + p = 1,200. The equation that relates calories from protein (p) to calories from fat (f) based on the prescribed diet is: p = 3f. Solving the system of equations, we find that the individual should consume 300 calories from fats and 900 calories from proteins.

To find the equation that models the amount of calories from fats and proteins that the individual can consume in order to reach 1,800 calories, we consider that 600 calories will come from carbohydrates. Since the total goal is 1,800 calories, the remaining calories from fats and proteins should add up to 1,800 - 600 = 1,200 calories. Therefore, the equation is f + p = 1,200.

Based on the prescribed diet, the individual is required to consume calories from protein that are three times the calories from fat. This relationship can be expressed as p = 3f, where p represents the calories from protein and f represents the calories from fat.

To solve the system of equations, we substitute the value of p from the second equation into the first equation: f + 3f = 1,200. Combining like terms, we get 4f = 1,200, and dividing both sides by 4 yields f = 300. Substituting this value back into the second equation, we find p = 3(300) = 900.

Therefore, the individual should consume 300 calories from fats and 900 calories from proteins to meet the diet requirements and achieve a total of 1,800 calories.

Learn more about system equation

brainly.com/question/32645146

#SPJ11

Answer:

30 people

Step-by-step explanation:

If you start off with 1/2 a lemon for 6 people, then 1 whole would be 12. 1 1/2 would be 18 people and 2 whole lemons would be 24. so 2 1/2 is 30 people.

The upper control limit (UCL) with three-sigma limits for the mean of software upgrade time in minutes can be determined by multiplying the standard deviation by three and adding it to the mean. However, since the mean and standard deviation are not provided in the question, a specific numerical answer cannot be given.

In statistical process control, the three-sigma control limits are commonly used to establish the range within which a process is considered to be in control. The three-sigma limits represent a statistical measure that encompasses approximately 99.7% of the data if the process is stable and normally distributed.

By calculating the UCL using the mean and standard deviation, organizations can set an upper boundary that helps monitor the software upgrade time. If any data point exceeds the UCL, it suggests a potential variation or issue in the process, warranting further investigation and corrective actions to ensure the software upgrade time remains within acceptable limits. The UCL serves as a reference point for identifying significant deviations from the expected mean and facilitates continuous process improvement in software upgrade operations.

Learn more about  standard deviation here;

brainly.com/question/29115611

#SPJ11

Answer:

77.35

Step-by-step explanation:

8x7=56

7x6.1=42.7

42.7x0.5=21.35

56+21.35=77.35

The estimated average cost of all packages at the 99% confidence level is $24.70.

To estimate the average cost of all packages at the 99% confidence level, we can use the formula for the confidence interval of the mean:

Confidence interval = sample mean ± (critical value * standard deviation / √sample size)

First, we need to find the critical value corresponding to a 99% confidence level. Since the sample size is relatively small (26 packets), we'll use the t-distribution instead of the normal distribution.

The degrees of freedom for the t-distribution is equal to the sample size minus 1 (df = 26 - 1 = 25). Looking up the critical value for a 99% confidence level and 25 degrees of freedom in a t-table, we find that the critical value is approximately 2.796.

Now, we can calculate the confidence interval:

Confidence interval = $24.70 ± (2.796 * $5.47 / √26)

Confidence interval = $24.70 ± (2.796 * $5.47 / 5.099)

Confidence interval = $24.70 ± (2.796 * $1.072)

Confidence interval = $24.70 ± $2.994

This means that we can be 99% confident that the true average cost of all packages lies within the range of $21.706 to $27.694.

Therefore, the estimated average cost of all packages at the 99% confidence level is $24.70.

Learn more about Confidence interval here:

https://brainly.com/question/13067956

#SPJ11

Explanation: The 4th one is the distributive property because it shows an     equal sign and the 5th one is the inverse property of addition because it uses more than addition.

Answer: 4th one is distributive property 5th one is inverse property of addition

P.S. I am sure 95% sure that I am correct.

To decompose partial fractions, you can use the method of long division or the method of undetermined coefficients.

The method of long division is a technique that allows you to decompose a rational function (i.e. a fraction of two polynomials) into a sum of simpler fractions, each having a denominator that is a factor of the original denominator.

It's similar to regular long division but it's applied to polynomials.The method of undetermined coefficients involves setting up an equation with the original fraction on one side and a sum of simpler fractions on the other side.

Then the unknown coefficients in the simpler fractions are solved for by matching powers of the variable and by using the constraints that the numerator and denominator must be equal to zero.Both methods are used to decompose a rational function into simpler fractions that can be integrated more easily.

The decomposition is useful in solving integrals that can't be solved by other methods. It's used in solving physics and engineering problems, such as in mechanics, control systems, and signal processing.

To know more about   partial fractions click on the link below:

https://brainly.com/question/2273342#

#SPJ11

Answer:

3,600 seconds

Step-by-step explanation:

multipy how many hours by 3,600

(so 1 times 3,600)

Answer:

3,600 seconds

Step-by-step explanation:

\(\frac{60 seconds}{1 minute} (\frac{60 minutes}{1 hour} )=\frac{3,600 seconds}{1 hour}\)

The number of students in the marching band is 200.

Percentage is the ratio of an amount that is expressed as a number out of 100. The sign that is used to represent percentages is %. Percentage is a measure of frequency.

In order to determine the number of students in the marching band, divide the number of students going to the dance by the percentage of students going to the dance.

Number of students in the marching band = students going to the dance / percentage of students going to the dance

110 / 55%

110 / 0.55 = 200

To learn more about percentages, please check: https://brainly.com/question/25764815

#SPJ1

2x⁴+2x³-12x² is the correct option.

Given is an expression, 2x²(x+3)(x-2), we need to expand it,

To expand the given expression, we must multiply each term of every expression to each term of the other two expressions.

The expansion is as follows :

= 2x²(x+3)(x-2)

= 2x²(x²+3x-2x-6)

= 2x²(x²+x-6)

= 2x⁴+2x³-12x²

Thus, the required expended form is 2x⁴+2x³-12x².

Learn more about expressions, click;

https://brainly.com/question/14083225

#SPJ4

Answer:

I think this is correct if not lmk please!

Step-by-step explanation:

300

10

2

.

0

5

4

Answer:

5x - 9 = 3

Please consider giving me brainliest if this helped you! :)