BUNGEE JUMPING Trevor is bungee jumping off of a bridge into a canyon that is 400 feet deep. Trevor's bungee cord is 9 feet more than ten times the distance between Trevor and the bottom of the canyon at the end of his jump. If Trevor is 6 feet tall and the bungee cord is attached to his feet, what will be his height above the bottom of the canyon at the end of his jump? Measure the height from Trevor's head to the bottom of the canyon.

Answer:

3 hours

Step-by-step explanation:

Step one:

given data

Dana charges

$64.95 fee, plus $45/h.

let the number of hours be x

and the total charges be y

y= 45x+64.95---------1

Tom charges

$79.95 fee, plus $40/h.

let the number of hours be x

and the total charges be y

y= 40x+79.95---------2

Step two:

Equate eqn 1 and 2 to find x

45x+64.95=40x+79.95

collect like terms

45x-40x=79.95-64.95

5x=15

divide by 15

x= 15/5

x= 3 hours

Answer:

\( \frac{d}{t} = s\)

Step-by-step explanation:

d= the distance walked by Tom

t=the time he took to walk the distance

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Answer:

e=15.33

t=17.88

Step-by-step explanation:

e/9.1=9.6/5.7

cross multiply

5.7e=87.36

e=15.33

t/9.1=11.2/5.7

cross multiply

5.7t=101.92

t=17.88

The standardized test statistic t is 2.12.

Given that n = 15, x = 10.4, s = 0.8, α = 0.05, and the null hypothesis H0: µ = 10.1 is less than alternative hypothesis Ha: µ < 10.1

The standardized test statistic t for the given sample is given by:t = (x - µ) / (s / √n)

Where, x = 10.4, µ = 10.1, s = 0.8, n = 15

Plugging in the given values, we get

t = (10.4 - 10.1) / (0.8 / √15)t = 2.12 (approx)

The standardized test statistic t is 2.12.

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Answer:

$500

Step-by-step explanation:

100-12=88

88/100=440/x

88x=100(440)

88x=44000

/88.  /88

x=500

hopes this helps

Answer:

can I get ful question........?

Answer:

Here is the full question

Step-by-step explanation:

ANSWER

The input values can be any value that works in the function

EXPLANATION

An input-output table is a table made up of rows and columns that displays the inputs of a function along with the corresponding output for each input.

The input values do not have to be consecutive and the output values do not have to be whole numbers.

Depending on the function/relation being described by the table, the output values can be decreasing or increasing as they progress down the table.

However, input values can be any number that will cause the function/relation to work.

Therefore, the correct option is the input values can be any value that works in the function.

One strategy that may help Emilio write more fluently is practicing speed writing or shorthand techniques.

Practicing speed writing or shorthand techniques can help Emilio increase his writing speed without sacrificing legibility. Speed writing involves using abbreviations, symbols, and shortcuts to represent words or phrases, allowing for faster transcription of thoughts onto paper.

Shorthand systems, such as Gregg shorthand or Pitman shorthand, provide structured methods for condensing words and phrases into simplified symbols.

By learning and practicing speed writing or shorthand techniques, Emilio can improve his writing efficiency and reduce the time it takes to write a few sentences. This strategy allows him to maintain neatness while increasing his writing speed, enabling him to express his thoughts more fluently.

With regular practice and familiarity, Emilio will become more comfortable with the shorthand system and experience a significant improvement in his writing speed and fluency.

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Value Added Tax, VAT, is a tax for consumption that is added to the price of an item at each selling point that there is a difference in value between the selling and purchasing of an item or service

1. The value of VAT the company has to pay to SARS for the bags Mrs. Rennet bought is R9,000

2. The amount of VAT Mrs. Rennet receives from her customers for the bag payment is approximately R12,391.3

3. The amount of VAT she will pay to SARS is approximately R3,391.3

The reason the above values are correct is as follows:

The known parameters in the question are;

Number of handbags Mrs Rennet buys, n = 500

The cost of each handbag at the factory, CP = R120

The price at which she sells the handbags, SP = R190

The South African VAT rate for registered vendors for the supply of goods and services for the year 2021 from online sources, r = 15%

The VAT she paid to SARS = VAT received from customers — VAT paid to the factory

1. Required:

The amount in \(VAT_c\) payment the factory has to pay to SARS

Solution:

The total cost of the handbag Mrs Rennet buys from the factory, C = n × CP

Plugging in the values of n, and CP, we have;

C = 500 × R120 = R60,000

The total cost of the handbag Mrs Rennet buys from the factory, C = R60,000

The amount of \(VAT_c\) = r × C

Where;

r = 15% = 0.15

C = R60,000

\(\mathbf{VAT_c}\) = 0.15 × 60,000 = 9,000

The amount in \(VAT_c\) payment the factory has to pay to SARS = R9,000

2. Required:

The amount Mrs Rennet receive from her customers as VAT

Solution:

The amount of VAT Mrs. Rennet receives from her customers is found as follows;

The selling price is inclusive of VAT, SP = R190

Let X represent the selling price, exclusive of VAT we have;

X × (1 + 0.15) = 190

X = 190/(1 + 0.15) = \(165\frac{5}{23}\)

The amount Mrs. Rennet receives as VAT, \(VAT_s\) = n × (CS - X)

\(\mathbf{VAT_s}\) = 500 × (190 - 190/(1 + 0.15)) = \(12,391\frac{7}{23}\) ≈ 12,391.3

The amount Mrs. Rennet receives as VAT, \(VAT_s\) ≈ R12,391.3

3. Required:

The amount Mrs. Rennet has to pay to SARS for the VAT she receives from her customers

Solution:

The amount Mrs. Rennet has to pay to SARS as VAT, \(VAT_p\) = \(\mathbf{VAT_s}\) - \(\mathbf{VAT_c}\)

\(VAT_p\) ≈ 12,391.3 - 9,000 = 3,391.3

The amount she pays to SARS as VAT, \(VAT_p\) ≈ R3,391.3

The VAT is paid for ultimately by the customer at retail

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Answer: 70%

Step-by-step explanation:

In September 2021, the approximate number of citizens incarcerated in jails and prisons is around 2.3 million.

It is important to note that this figure can vary over time due to changes in policies, criminal justice reforms, and other factors. The incarcerated population includes individuals who have been convicted of crimes and are serving their sentences, as well as those who are awaiting trial or have been sentenced but not yet transferred to a correctional facility.

These numbers can vary between different countries and jurisdictions. To obtain the most accurate and up-to-date information on current incarceration rates, it is advisable to refer to official sources such as the U.S. Bureau of Justice Statistics or relevant governmental organizations in your country.

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The period of the function represent the given context is (8.5, 2900).

The period of this function is 8.5 seconds, and it represents the time it takes for the person's lungs to fill up with air, then empty out again.

The graph shows that the volume of air in the person's lungs is at its maximum (2900 ml) at the start of each period, and then decreases over time until it reaches its minimum (1100 ml) at the end of each period.

Therefore, the period of the function represent the given context is (8.5, 2900).

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Answer:

1.03

Step-by-step explanation:

The increase is 3% above the original 100%, thus

multiplier = 100 + 3 = 103% = \(\frac{103}{100}\) = 1.03

Answer:

4. 300    5. 7     6.  2

Step-by-step explanation:

In order to solve these problems, we need to plug in x for the missing number. So, we would set it up like this:

\(\frac{60 mi}{1 hr} =\frac{x}{5 hr}\)

We would then cross multiply in order to find the value of x. Like this:

60 × 5 = 300

1 × x = 1x

300 = 1x

300 = x

So now we know that x is 300.

We would do the exact same thing for the next question. Plug in x, then solve by cross multiplying:

\(\frac{8 hr}{2 days} =\frac{28 hr}{x}\)

8 × x = 8x

2 × 28 = 56

8x = 56

÷8    ÷8

x = 7

We now know that x is 7.

Try the last one on your own. Do the exact same thing I did for the first two. I hope you understand a bit better now. Please let me know if you need any more help. Good luck!

The area of the triangle formed by the points A(-4,4), B(2,-4), and C(-4,-4) is -24 square units.

The coordinates of the given points are A(-4,4), B(2,-4), and C(-4,-4). To find the area of the triangle formed by these points, we can use the formula for the area of a triangle in the coordinate plane.

Let's label the coordinates as follows: A(x1, y1), B(x2, y2), and C(x3, y3).

Using the formula for the area of a triangle:

\(Area = 1/2 * |x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)|\)

Substituting the coordinates of the given points into the formula:

\(Area = 1/2 * |-4(-4 - (-4)) + 2(-4 - 4) + (-4)(4 - (-4))|\)

Simplifying further:

\(Area = 1/2 * |-4(0) + 2(-8) + (-4)(8)|\)

Area = 1/2 * (0 - 16 - 32)

Area = 1/2 * (-48)

Area = -24

Therefore, the area of the triangle formed by the points A(-4,4), B(2,-4), and C(-4,-4) is -24 square units.

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Answer:

Step-by-step explanation:

You are right it is 8!

Answer:

Equation: 154 = 158n - 132 n = 11/6

Step-by-step explanation:

Let's start by converting this into an equation. Some keywords to look for are "is" which means an equal sign (=), "product" which is multiplication (*), and "decreased" which means a minus sign (-):

So this is our equation: 154 = 158n - 132

Now we have to solve for n:

First, we add 132 to both sides to isolate the n more:

286 = 158n

Then to completely isolate the n, we divide both sides by 158

286

------    =     n

156

n = 11/6, final answer.

The confidence interval for the difference between the proportions for the two populations is (lower bound) to (upper bound).

To calculate the confidence interval for the difference between the proportions for two populations, you can follow these steps:

1. Gather the necessary information: You need the sample sizes (n1 and n2) and the number of successes (x1 and x2) from each population.

2. Calculate the sample proportions: Divide the number of successes by the sample size for each population. The sample proportions are p1 = x1/n1 and p2 = x2/n2.

3. Calculate the standard error: The standard error can be calculated using the formula SE = sqrt((p1(1-p1)/n1) + (p2(1-p2)/n2)).

4. Determine the desired confidence level: Common confidence levels include 90%, 95%, and 99%. Let's assume we want a 95% confidence level.

5. Find the critical value: The critical value corresponds to the desired confidence level and the degrees of freedom (df) calculated as (n1 - 1) + (n2 - 1). You can use a standard normal distribution table or a statistical calculator to find the critical value. For a 95% confidence level, the critical value is approximately 1.96.

6. Calculate the margin of error: The margin of error is found by multiplying the standard error by the critical value: margin of error = critical value * SE.

7. Calculate the confidence interval: Subtract the margin of error from the difference in sample proportions to find the lower bound, and add it to the difference in sample proportions to find the upper bound. The confidence interval is given by (p1 - p2) - margin of error to (p1 - p2) + margin of error.

Remember to round your answer to 4 decimal places, and if the difference in proportions is negative, enter the answer as a negative number.

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integer 1 = x

Integer 2 = y

An integer is 3 less than 5 times another

x-3 = 5y

Here are the solutions and sketches of the given inequalities on the real number line:

a) x ≥ 4

b)-4 < x < 5

c)the solution is 13 < x < 17

(a) 4x - 6 ≥ 10

4x - 6 ≥ 10

4x ≥ 10 + 6

4x ≥ 16

x ≥ 16/4

x ≥ 4

Thus, the solution is x ≥ 4.

Sketch of the solution on the real number line:

(b) x² - x < 20

x² - x < 20

x² - x - 20

< 0(x - 5)(x + 4) < 0

The critical points are -4 and 5.

Thus, the solution is -4 < x < 5.

Sketch of the solution on the real number line:

(C) | 15 - x | < 2

2 < 15 - x < 215

- 2 < x < 15 + 2

x > 13 or

x < 17

Thus, the solution is 13 < x < 17.

Sketch of the solution on the real number line:

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Answer:

c

Step-by-step explanation:

I hope this helpssssssss

The Length of the fence in the example doubles as the perimeter of the circular garden. Hence the largest whole number of the radius is 8 feet

Given Data

Length of Fence = 50 feet

Largest Whole number Radius = ??

In this exercise, the Length of the fence is the same as the perimeter of the circular vegetable garden.

We know that the expression for the perimeter of a circle is given as

Perimeter of Circle = 2πr

From here we can solve for the Radius r

50 = 2*3.142*r

50 = 6.284r

divide both sides by 6.284

r = 50/6.284

r = 7.956 feet

r = 8 feet

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Answer:

60

Step-by-step explanation:

multiply length times width l x w

length is 10

width is 6

10 x 6 is 60

Answer:

x < 2

Step-by-step explanation:

57x - 32 < 72

57x < 104

x < 2

Answer:

\(P=200(0.9875)^n\)

Step-by-step explanation:

Initial population of fish = 200

Decay rate by which population is decreasing = 5% per year

Number of quarters in a year = 4

Rate of decay in a quarter = \(\frac{5}{4}\) = 1.25%

Formula for the exponential decay in the population is,

\(P=P_0(1-\frac{r}{100})^n\)

Here, P = Final population

P₀ = Initial population

r = Rate of decay per quarter

n = Number of quarters for the total decay

By substituting these values in the formula,

\(P=200(1-\frac{1.25}{100})^n\)

\(P=200(1-0.0125)^n\)

\(P=200(0.9875)^n\)

The quarterly decay rate is given by \(\rm P = 200(0.9875)^n\)  and this can be determined by using the exponential decay function.

Given :

The formula of exponential decay is given by the equation:

\(\rm P = P_0\left(1- \dfrac{r}{100}\right)^n\)      ----- (1)

where n is the number of quarters for total decay, r is the rate of decay per quarter, \(\rm P_0\) is the initial population and P is the final population.

Now, put the values of known terms in the equation (1).

\(\rm P = 200\left(1-\dfrac{1.25}{100}\right )^n\)

\(\rm P = 200(1-0.0125)^n\)

\(\rm P = 200(0.9875)^n\)

The quarterly decay rate is given by \(\rm P = 200(0.9875)^n\) .

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Answer:

7

Step-by-step explanation:

$1.05 is 105 cents 105/15=7

A parabola is a visual representation of a quadratic function. The x-intercepts of the parabola whose graph is given are x = - 1 and, x = - 5.

Given that,

The graph of the parabola is shown in the figure.

The x-intercepts of a parabola are the points on the x-axis through which the graph passes. It may also be the case that the graph of a parabola intercepts the x-axis on one point or doesn't intercept it.

Here, From the graph,

The graph of the parabola is cut into two points at (- 1, 0) and (- 5,0).

So, the x-intercept is - 1 and - 5.

Hence, The x-intercepts of the parabola whose graph is given are, x = - 1 and, x = - 5

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6536 inches is equal to 166.27 meters, rounded to the nearest hundredth

Given : 6536 in.Convert the units of measure as indicated.

Round your answer to the nearest hundredth, if necessary.6536 inches is to be converted to meters.

1 inch is equal to 0.0254 meters.

To find out the value of 6536 inches in meters,

we need to multiply the given number by the conversion factor.

So, 6536 inches * 0.0254 meters/inch= 166.27 meters (rounded to the nearest hundredth)

Therefore, 6536 inches is equal to 166.27 meters, rounded to the nearest hundredth.

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