Ariele is hiking down into the canyon. She starts at the rim and hikes down 55 feet in 234 minutes. If she continues at this rate, where will Ariel be in relation to the rim after 15 minutes?

1) Area of patio = 1/2 base x height

Height = 3.1ft

base = 7 + 10 =17 ft

Area = 1/2 x 3.1 x 17

Area of patio = 26.35 square ft

1 yard = 3 ft

1 square yard = 9 square ft

so the area of the patio in yard is

26.35/9 = 2.927777778 square yard

2) Cost of concrete = $10/square yard poured 1/9 yard deep+ $60 delivery fee

for 2.9277777778 square yard it will cost 1/9($10 x 2.9277777778) + $60 =$

3)

Answer:

512

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Hope this helps :)

Step-by-step explanation:

ans...9days.......,........

Answer:

y-intercept = -13

Step-by-step explanation:

So you have to put it in slope-intercept form to solve.

slope is 4 so you plug in the one of the coordinate points in for x and y in the equation to find b.

Answer:

2x+4+3x+4

5x+8

2(2x+4)+x

Step-by-step explanation:

• 2x+4+3x+4 would be equal to 5x+8

because you will group like terms: 2x+ 3x=5x and 4+4=

• 2(2x+4)+x

multiple what's outside the bracket by what's inside .

4x+8+x

4x+x =5x and 8

sooo 5x+ 8

Hope this helps

The length HI in the quadrilateral is 63.7 units.

A quadrilateral is a polygon with 4 sides. The quadrilateral BCDE is similar to quadrilateral FGHI.

Two quadrilaterals are similar quadrilaterals when the three corresponding angles are the same and the corresponding sides are a ratio of each other.

Therefore,

18 / HI = 13 / 46

cross multiply

46 × 18 = 13 HI

828 = 13HI

divide both sides by 13

HI = 828 / 13

HI = 63.6923076923

Therefore,

HI = 63.7 units

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Answer:

Step-by-step explanation:

5. y = -3x + 3

6. y + 1 = 4/3x - 1

  y = 4/3x - 2

7. y = -2x + 4

8. x - 2 = 0

   x = 2

10. 2y = -x + 12

    y = -x/2 + 6

Answer:

The equation to this problem is 2,249

Answer:

the answer

Step-by-step explanation:

2249 OR

2,249 ;)))

Answer:

3.1 A) 49; 64; and 81

B) 343; 512; and 729

C) 28; 36; and 45

3.2 A) 1²; 2²; 3²...

B) 1³; 2³; 3³...

C) 1; 1+2; 1+2+3; ...

3.3 A) aₙ = n²

B) aₙ = n³

C) aₙ = n·(n + 1)/2

3.4 A) 10,000

B) 1,000,000

C) 5,050

Step-by-step explanation:

The given sequences are;

A 1; 4; 9; 16; 25; 36...

B 1; 8; 27; 64; 125; 216...

C 1; 3; 6; 10; 15; 21;...

3.1 A) The terms, aₙ, of sequence 'A' are given as follows;

aₙ = n², where, n = 1, 2, 3,...

The next three terms of sequence 'A' are therefore;

a₇ = 7³ = 49, a₈ = 8² = 64, and a₉ = 9² = 81

The next three terms of sequence 'A' are ; 49; 64; and 81

B) The terms, aₙ, of sequence 'B' are given as follows;

aₙ = n³, where, n = 1, 2, 3,...

The next three terms of sequence 'B' are therefore;

a₇ = 7³ = 343, a₈ = 8³ = 512, and a₉ = 9³ = 729

The next three terms of sequence 'B' are; 343; 512; and 729

C) The terms, aₙ, of sequence 'C' are given as follows;

aₙ = n·(n + 1)/2, where, n = 1, 2, 3,...

The next three terms of sequence 'A' are therefore;

a₇ = 7×(7 + 1)/2 = 28, a₈ = 8×(8 + 1)/2 = 36, and a₉ = 36 + 9×(9 + 1)/2 = 45

The next three terms of sequence 'A' are ; 28; 36; and 45

3.2 A) The pattern of the numbers in sequence 'A', consists of squaring (raising to the power of 2) each number in the sequence of natural numbers

B) The pattern of the numbers in sequence 'B', consists of raising to the power of 3 each number in the sequence of natural numbers

C) The pattern is the triangular number sequence and consists of finding half the number dots that are present in a n by (n + 1) rectangle, which is given by finding the sum of the natural numbers up to the given term in the sequence

3.3 A) The formula for the general term of sequence, A, is aₙ = n²

B) The formula for the general term of sequence, B, is aₙ = n³

C) The formula for the general term of sequence, C, is aₙ = n·(n + 1)/2

3.4 A) The 100th term of sequence 'A', a₁₀₀ = 100² = 10,000

B) The 100th term of sequence 'B', a₁₀₀ = 100³ = 1,000,000

C) The 100th term of sequence 'C', a₁₀₀ = 100 × (100 + 1)/2 = 5,050.

Answer:

bnnnm

bStep-by-step explanation:

Information is needed to evaluate the project's financial viability, considering factors such as the initial investment, expected cash flows, cost of capital, and project duration.

To calculate the year 1 operating cash flows (OCF), we need to subtract the year 1 costs from the year 1 revenues:

OCF = Year 1 Revenues - Year 1 Costs

OCF = $192,000 - $125,000

OCF = $67,000

To find the depreciation expense in year 3, we need to determine the depreciation method. The provided information is incomplete regarding the depreciation method, so we cannot calculate the depreciation expense in year 3 without knowing the specific method.

The change in Net Working Capital (NWC) in year 2 can be determined by multiplying the Net Working Capital percentage (given as a percentage of t+1 revenues) by the year 1 revenues and subtracting the result from the year 2 revenues:

Change in NWC = (Year 2 Revenues - Net Working Capital percentage * Year 1 Revenues) - Year 1 Revenues

Without the specific Net Working Capital percentage or Year 2 Revenues values, we cannot calculate the exact change in NWC in year 2.

The net cash flow from salvage (ATSV) is calculated by multiplying the Salvage Value percentage by the Initial Cost:

ATSV = Salvage Value percentage * Initial Cost

ATSV = 28% * $390,000

ATSV = $109,200

To calculate the project's NPV, we need the cash flows for each year, the cost of capital, and the project duration. Unfortunately, the information provided does not include the cash flows for each year, so we cannot calculate the project's NPV.

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The complete question is:

Below are your numerical inputs for the problem: 4 & Initial Cost (\$) & 390000 5 & Year 1 Revenues (\$) & 192000 6 & Year 1 Costs (\$) & 125000  7 & Inflation & 2.75% 8 & Project Duration (years) & 6 9 & Depreciation Method & 10 & Tax Rate & 11 & Net Working Capital (\% oft+1 Revenues) & MACRS 12 & Salvage Value (\$) & 28.00% 13 & Cost of Capital & 15.00% & 245000 How much are the year 1 operating cash flows (OCF)? How much is the depreciation expense in year 3 ? What is the change in Net Working Capital (NWC) in year 2? What is the net cash flow from salvage (aka, the after-tax salvage value, or ATSV)? What is the project's NPV? Would you recommend purchasing the ranch? Briefly explain.

Answer:

x = \(\frac{5}{8}\)

Step-by-step explanation:

Given

- 4(3 + x) + 5 = 4(x + 3) ← distribute parenthesis on both sides

- 12 - 4x + 5 = 4x + 12 , that is

17 - 4x = 4x + 12 ( subtract 4x from both sides )

17 - 8x = 12 ( subtract 17 from both sides )

- 8x = - 5 ( divide both sides by - 8 )

x = \(\frac{-5}{-8}\) = \(\frac{5}{8}\)

Answer:

$3.25

Step-by-step explanation:

To get the price of one cup of coffee without including Dax's two dollar tip, the first step is to subtract 2 from 18.25.

18.25 - 2= 16.25

16.25 is price of the five cups of coffee that Dax bought without the two dollar tip. The final step is to get the price of one cup of coffee which is basically:

16.25 ÷ 5 = 3.25

The cost of each cup of coffee is $3.25.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

To get the price of one cup of coffee without including Dax's two-dollar tip, the first step is to subtract 2 from 18.25.

18.25 - 2= 16.25

16.25 is the price of the five cups of coffee that Dax bought without the two-dollar tip. The final step is to get the price of one cup of coffee which is basically:

16.25 ÷ 5 = $3.25

Hence, the cost will be $3.25.

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The answer is 2(x+3)

hope it helps!

Answer:

2x + 6

Step-by-step explanation:

2(x +3)

2x +6

multiply x by 2=2x

multiply 3×2=6

2x +6

Answer:

The answer is -285

Step-by-step explanation:

Addressing statistical questions on normal distribution: covers Z-scores, probability, percentiles, empirical rule. Examples: calculating Z-scores, determining unusual possum head length, finding probabilities for exam scores and IQs, estimating SAT score percentages.

1. Shorthand notation for normal distribution:

a.) N(5, 3) - mean = 5, standard deviation = 3

b.) N(-100, 10) - mean = -100, standard deviation = 10

c.) N(2, 9) - mean = 2, standard deviation = 9

2. Z-score for x=5:19 from N(3, 2):

The formula for calculating the Z-score is Z = (X - μ) / σ, where X is the observed value, μ is the mean, and σ is the standard deviation. Substituting the given values: Z = (5:19 - 3) / 2 ≈ 1.095.

b.) Standard deviations above/below the mean:

Since the Z-score is positive, the observed value x=5:19 is approximately 1.095 standard deviations above the mean.

1. Z-scores for head lengths of possums:

For a head length of 95.4 mm: Z = (95.4 - 92.6) / 3.6 ≈ 0.778.

For a head length of 85.8 mm: Z = (85.8 - 92.6) / 3.6 ≈ -1.889.

To determine which head length is more unusual, we compare the absolute values of the Z-scores. |0.778| < |1.889|, so the head length of 95.4 mm is more unusual as it deviates less from the mean compared to 85.8 mm.

1. Probability of scoring less than 1190:

If the probability of scoring at least 1190 is 0.3264, then the probability of scoring less than 1190 can be found by subtracting this value from 1. P(X < 1190) = 1 - 0.3264 ≈ 0.6736.

2. SAT scores N(1100, 200):

a.) The 95th percentile corresponds to the value below which 95% of the data falls. Using the Z-table or calculator, we find the Z-score for the 95th percentile is approximately 1.645. Thus, the 95th percentile SAT score is 1100 + 1.645 * 200 ≈ 1439.

b.) The 97.5th percentile corresponds to the value below which 97.5% of the data falls. The Z-score for the 97.5th percentile is approximately 1.96. Thus, the 97.5th percentile SAT score is 1100 + 1.96 * 200 ≈ 1503.

1. Percentage of test takers scoring between 700 and 1500:

a.) To find the percentage of test takers scoring between 700 and 1500, we first calculate the Z-scores for both values:

Z(700) = (700 - 1100) / 200 ≈ -2.0

Z(1500) = (1500 - 1100) / 200 ≈ 2.0

Using the Z-table or calculator, we find the proportion between these Z-scores, which corresponds to the percentage of test takers falling between 700 and 1500. Since both Z-scores are the same, it is approximately 95%.

b.) To find the percentage of test takers scoring between 1100 and 1500, we calculate the Z-score for 1100:

Z(1100) = (1100 - 1100) / 200 = 0

Again, using the Z-table or calculator, we find the proportion corresponding to the positive Z-score of 0. This proportion represents the percentage of test takers scoring between 1100 and 1500, which is approximately 50%.

1. Using the empirical rule:

According to the empirical rule, approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.

In this case, the IQ range is between 115 and 130, which is one standard deviation above and below the mean. Therefore, the probability can be estimated as approximately 68%.

1. Cultured pearl diameters N(8, ?):

Unfortunately, the standard deviation of the pearl diameters is missing from the question. The given information only specifies the mean diameter as 8 millimeters. Without the standard deviation, it is not possible to compute Z-scores or probabilities related to the diameter range of 7 to 9 millimeters.

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Maria needs to run (6 miles) * 1609.34 = (meters) meters each week to reach her goal.

Part A:

To convert meters to miles, we need to use the following formula:

Miles = Meters * 0.000621371

Therefore, Maria runs (meters) * 0.000621371 = (miles) miles each week.

Rounding to the nearest tenth, we get: Maria runs 0.8 miles each week.

Part B:

To find out how many more meters Maria needs to run each week to meet her goal of 6 miles, we need to use the following formula:

Meters = Miles * 1609.34

Therefore, Maria needs to run (6 miles) * 1609.34 = (meters) meters each week to reach her goal.

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Geometric series is convergent if the |r|<1 where r is the common ratio.

Let Sn=∑ni=0(−3/4)i then

Sn=(−3/4)n+1−1(−3/4)−1

Now take n→∞ then

Sn→0−1(−3/4)−1=4/7

because |−3/4|<1 and so (−3/4)n→0. Now note that your sum is

lim ∑i=1n+1(−3)i−14i=lim 14∑i=1n+1(−3)i−14i−1=1/4.lim Sn=1/7.

Geometric series: A geometric series is the result of adding together geometric sequences indefinitely. Depending on the sequence given to us, such infinite sums can either be finite or infinite. A series is considered to be convergent if the partial sums gravitate to a certain value, also known as a limit. In contrast, a divergent series is one whose partial sums do not reach a limit. Divergent series frequently reach, reach, or avoid a particular number.

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Answer:

x=19/2

x=- 13/2

Step-by-step explanation:

multiply both sides by                                                         2 |2x -3|+10=26

move constant (10 to the right and change sign                |2x-3|=26-10

subtract the numbers                                                           |2x-3|=16

use absolute value (rewrite the absolute value                  2x-3=16

equation as two separate  equations one (+) and (-)           2x-3= -16

2x-3=16    move constant to the right

2x=16+3   add the numbers  

2x=19   divide both sides by 2

x=19/2

same steps with with second one

2x-2= -16

2x= -16 +3 move constant to the right change sign and add

2x= -13             divide both sides by two

x= -13/2

The  |   | are not (   ) .  They have different meaning , absolute value brackets. ok :)

The product of (1 3/4-2.4).[0.5.(2/5 plus 2.6) is 2.75.

It should be noted that we are to find the product of (1 3/4-2.4).[0.5.(2/5 plus 2.6).

This will be:

= (1 3/4-2.4).[0.5.(2/5 plus 2.6)

= (1.75 - 0.5) × [0.5(0.4 + 2.6)]

= 1.25 × 0.5(3)

= 1.25 + 1.5

= 2.75

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The coordinates of the midpoint of the line segment CD with C(2, −6) and D(4, 10) are (3, 2).Therefore, the correct option is (3, 2).

To find the midpoint of the line segment CD, we need to use the midpoint formula which is `( (x1+x2)/2 , (y1+y2)/2 )` .

Therefore, the coordinates of the midpoint of the line segment CD with C(2, −6) and D(4, 10) are (3, 2).

Given that C(2, −6) and D(4, 10) are two points that are on the line segment CD.Let (x, y) be the coordinates of the midpoint of CD.

The midpoint formula is:( (x1+x2)/2 , (y1+y2)/2 )Let's substitute the given values in the formula to find the coordinates of the midpoint of CD:( (2+4)/2 , (-6+10)/2 )= (3,2)

Therefore, the coordinates of the midpoint of the line segment CD with C(2, −6) and D(4, 10) are (3, 2).Therefore, the correct option is (3, 2).

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Answer:

See below ~

Step-by-step explanation:

Part (a) :

Part (b) :

Answer:

(a) The length is 85 m.

(b) The width is 89 cm.

Step-by-step explanation:

(a)

Perimeter (P) formula using the length (L) and width (W) of a rectangle.

P = 2L + 2W

P = 278 m

W = 54 m

278 = 2L + 2(54)

2L + 108 = 278

2L = 170

L = 85

Answer: The length is 85 m.

(b)

Area (A) formula using the length (L) and width (W) of a rectangle.

A = LW

A = 8811 cm²

L = 99 cm

8811 = 99 × W

W = 8811/99

W = 89

Answer: The width is 89 cm.

On day 1, each of the 5 people tells 2 more people, so 5 x 2 = 10 people now know the rumor, including the original 5.

a) How many people will learn about the rumour

a) Let's first consider how the number of people who know the rumor grows each day:

On day 0, 5 people know the rumor.

On day 1, each of the 5 people tells 2 more people, so 5 x 2 = 10 people now know the rumor, including the original 5.

On day 2, each of the 10 people tells 2 more people, so 10 x 2 = 20 people now know the rumor, including the original 5 and the 10 from day 1.

i) Therefore, on day 1, a total of 10 people will know the rumor.

ii) On day 2, a total of 20 people will know the rumor.

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Frequency is measured in Hertz, which is one per second. If the wave vibrated 10 times in 10 seconds, it would have a frequency of 1Hz According to the graph, the frequency is increasing to 2Hz then 3Hz.

This is further explained below.

Generally, The number of instances of a recurring event that takes place in a certain amount of time is referred to as its frequency.

In conclusion, Hertz is the unit of measurement for frequency, and one Hertz equals one second. If the wave vibrated once per second for a whole minute, its frequency would be one hertz (Hz).

The graph indicates that the frequency will reach 2Hz, and eventually 3Hz, in the near future.

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hi, I'm no bot just in case...

the grapgh of the line shows y intercept of -9 and rate of change by 4

SoThe equation of the lline will be: \(y=4x-9\)

Difference of Two Products has the expressions

(4)(5)-2(8)

and 5(2)(7)-8(8)

Product of Two Quotients

3-2/5-8 . 1-7/9-4

and (11÷5)(1-4/6-12)

The difference of two numbers is the result of subtracting these two numbers.

The product of two or more numbers is the result of multiplying two numbers

Difference of Two Products has the expressions

(4)(5)-2(8)

and 5(2)(7)-8(8)

Product of Two Quotients

3-2/5-8 . 1-7/9-4

and (11÷5)(1-4/6-12)

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