My friend ha $672 to pend on a fence for her rectangular garden. She want to ue cedar
fencing which cot $17/yard on one ide, and cheaper metal fencing which cot $7/yard for the
other three ide. What are the dimenion of the garden with the larget area he can encloe?

The ratio of shares listed in 1997 to shares listed in 1977 is approximately is 1.3145.

The equation provided, n = 93.4(1.11)^t, models the number of shares listed on the NYSE from 1977 through 1997, where t = 0 represents 1990.

To find the ratio of shares listed in 1997 to shares listed in 1977, we substitute t = 20 (1997 - 1977) into the equation and calculate the respective values.

For shares listed in 1977:

n(1977) = 93.4(1.11)^0 = 93.

For shares listed in 1997:

n(1997) = 93.4(1.11)^20 ≈ 122.979

The ratio is then calculated as:

Ratio = n(1997) / n(1977) = 122.979 / 93.4 ≈ 1.3145

Therefore, the ratio of shares listed in 1997 to shares listed in 1977 is approximately 1.3145. This implies that the number of shares listed on the NYSE increased by approximately 31.45% from 1977 to 1997.

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Answer:

10x^3-34x^2+33x-7

Step-by-step explanation:

Answer: x = 12, ∠B = 45°

Step-by-step explanation:

Angle A and Angle B are alternate exterior angles meaning that they are equal

5x - 15 = 2x + 21

3x - 15 = 21

3x = 36

x = 12

B = 2(12) + 21

B = 24 + 21

B = 45

The statistic that describes the average distance between the measurements in a frequency distribution and the mean of that distribution is the mean absolute deviation (MAD).

The MAD measures the dispersion or spread of the data points around the mean. It is calculated by taking the absolute value of the differences between each data point and the mean, summing these absolute differences, and dividing by the number of data points.

Unlike the standard deviation, the MAD does not square the differences, making it easier to interpret. The MAD provides a measure of the variability of the data and is useful in comparing the spread of different data sets.

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Answer:

There are 33 nuts in the bag, to 21 dried fruits.

Total number of dried fruits is 21, while the total number of nuts is 33.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The difference in price per passenger for a group of 16 versus a group of 10 is $26.25

An equation is an expression that shows the relationship between two or more number and variables.

From the graph:

The cost for a group of 16 friends is $2500, while for a group of 10 friends is $1300.

Cost per passenger for 16 friend = $2500 / 16 = $156.25

Cost per passenger for 10 friend = $1300 / 10 = $130

The difference in price = $156.25 - $130 = $26.25

The difference in price per passenger for a group of 16 versus a group of 10 is $26.25

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Answer:

D) 26.25

Step-by-step explanation:

Got it right on edge

Answer:

At least 3 times each because 6 divided by 2 = 3.

Step-by-step explanation:

The three represents how many I think it will land on and plus that would mean 50/50 change it can land on tails and heads each 3 times.

Answer:

x = -5

y = 1

Step-by-step explanation:

-4(-5)-1=24

25-1=24

24=24

Answer: x= -6, y= 6

Step-by-step explanation:

Answer:

im pretty sure its (D)

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

The median is arranged in numerical value.

it goes: 4, 5, 9, 11, 12, 13. The median is basically the number in-between. you would cross out 4 and then 13. next, 5 and 12. Now there's 9 and 11 in the middle and that is what's left. the number in between of 11 and 9 is 10. 10 would be the median of the data set.

Answer: Each paper clip is \(1\frac{1}{3}\)

Step-by-step explanation:

Simply divide how long the notebook is, by how many paper clips there are, \(10\frac{2}3}\) divided by 8.

Answer:

BC = 28

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are in proportion, that is

\(\frac{BC}{EF}\) = \(\frac{AB}{DE}\) ( substitute values )

\(\frac{BC}{7}\) = \(\frac{16}{4}\) = 4 ( multiply both sides by 7 to clear the fraction )

BC = 4 × 7 = 28

Answer:

23 and 24

Step-by-step explanation:

let the 2 consecutive numbers be n and n + 1 , then

n² + (n + 1)² = 1105

n² + n² + 2n + 1 = 1105 ( subtract 1105 from both sides )

2n² + 2n - 1104 = 0 ( divide through by 2 )

n² + n - 552 = 0 ← in standard form

(n + 24)(n - 23) = 0 ← in factored form

equate each factor to zero and solve for n

n + 24 = 0 ⇒ n = - 24

n - 23 = 0 ⇒ n = 23

However, n > 0 , then n = 23 and n+ 1 = 23 + 1 = 24

the numbers are 23 and 24

Answer:

15/4 or 3 3/4

Step-by-step explanation:

since 1/5 has 1 as a numerator,

5 x 3/4=

15/4

it will take about 3 hours and 45 minutes

Answer:

35 degrees higher

Step-by-step explanation:

20-(-15)=20+15=35

Answer:

35°F

Step-by-step explanation:

Subtract the negative number from the positive one.

20 - -15 | Given

20 + 15 | Combine the negative signs to make a positive

35

Amrit's income is £27434.16.

What is the arithmetic operation?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.

Let the Bethan's income be x

Amrit's income is 32% more than Bethan's income.

So, Amrit's income=x+32%

Amrit and Bethan's combined income is £54868.

According to given question we have

x+x+32%=£54868

2x+32/100=£54868

2x=54868-0.32

2x=54867.68

x=27433.84

Bethan's income=£ 27433.84

Amrit's income

=x+32%

=£ 27433.84+0.32

=£27434.16

Therefore,  Amrit's income is £27434.16.

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Answer:

Pauls answer is not proportional

Step-by-step explanation:

You cannot make more money in an hour than you do in a day.

Hope it helps c:

There are 97 people who rent umbrellas.


Step 1: Find the number of people who rent only chairs.
Since there are 72 people who rent both chairs and umbrellas, there must be 125 - 72 = 53 people who rent only chairs.

Step 2: Find the total number of people who rent only chairs or only umbrellas.
Since there are 150 customers in total, there must be 150 - 72 = 78 people who rent either only chairs or only umbrellas.

Step 3: Find the number of people who rent only umbrellas.
Since we know that 53 people rent only chairs from Step 1, there must be 78 - 53 = 25 people who rent only umbrellas.

Step 4: Find the total number of people who rent umbrellas.
Since there are 72 people who rent both chairs and umbrellas and 25 people who rent only umbrellas, there are 72 + 25 = 97 people who rent umbrellas.

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Answer:

70°

Step-by-step explanation:

In the context it says that Franklin St. is parallel to Washington St.

The 110° formed by Franklin St. and Mulberry St. is a supplementary angle to Angle x.

Supplementary angles are angles that add up to each other to make 180°

So lets subtract:

180 - 110 = 70°

Angle x = 70°

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

55°

Step-by-step explanation:

360-(209+96)

55.

enjoy

The volume of the complex figure is determined as 66 ft³ .

The volume of the complex figure is calculated from the summation of volume of the triangle and the volume of the cuboid.

Volume of the cuboid is calculated as follows;

V = 6ft x 2 ft x 3 ft

V = 36 ft³

The area of the triangle is calculated as follows;

A = ¹/₂ x base x height

A = ¹/₂ x 10 ft x 2 ft

A = 10 ft²

The volume of the triangle is calculated as follows;

V = Aw

V = 10 ft² x 3 ft

V = 30 ft³

Total volume = 30 ft³ + 36 ft³ = 66 ft³

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For a step function input (u(t) = 1), the system's response can be obtained by finding the inverse Laplace transform of (s² + 30s + 369) / s². This will give the time-domain response of the system to a step function input. For a sine function input (x(t) = 22sin(5t)u(t)), the system's response can be obtained by finding the inverse Laplace transform of 5(s² + 30s + 369) / (s³ + 25s). This will give the time-domain response of the system to a sine function input.

To determine the response of a system with the transfer function H(s) = (s² + 30s + 369) / s to different input functions, we need to find the Laplace transform of the input function and multiply it by the transfer function H(s). Let's calculate the response for two cases:

Input: Step Function, u(t) = 1 (for t >= 0)

To find the Laplace transform of a step function, we use the formula:

L[u(t)] = 1/s

Multiplying the Laplace transform of the step function by the transfer function H(s), we get:

Y(s) = H(s) * L[u(t)]

= (s² + 30s + 369) / s * (1/s)

= (s² + 30s + 369) / s²

Now, we need to find the inverse Laplace transform of Y(s) to obtain the time-domain response.

The inverse Laplace transform of Y(s) will give us the time-domain response of the system to a step function input.

Input: Sine Function, x(t) = 22sin(5t)u(t)

To find the Laplace transform of a sine function, we use the formula:

L[sin(at)] = a / (s² + a²)

Multiplying the Laplace transform of the sine function by the transfer function H(s), we get:

Y(s) = H(s) * L[sin(5t)]

= (s² + 30s + 369) / s * (5 / (s² + 25))

Simplifying this expression, we have:

Y(s) = 5(s² + 30s + 369) / (s³+ 25s)

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The slope of line AB is 2.

In the figure, we have a right triangle ABC.

Thus, AB is perpendicular to BC.

Recall that:

If two lines are perpendicular, then the product of their slopes is equal to -1. Thus:

m₁ * m₂ = -1

In this case:

mAB * mBC = -1

Since mBC = -1/2. We have:

mAB * (-1/2) = -1

mAB = -1 / (-1/2)

mAB = 2

Therefore, the slope of line AB is 2.

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Complete Question

Check attached image

Answer:

Step-by-step explanation:

In most free countries it’s not that hard to become a firefighter. Women and men equally have to undergo the special training which is 6 months to one year, depending on where. And then in most countries you get tested on your ability to not only put out fires but also save people from other dangers.

In terms of pay : CA$113K / yr

Hope this helps.

Good Luck