Can someone solve this????

Answer: Area = l × w

= 3.5 × 2.8

= 9.8 meters2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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Answer:

-300r + 15

Step-by-step explanation:

Hope this helps!

Answer:

The answer is y=-1 (answer is C).

The man got an 18.92% discount on the jacket during the sale if he pays $150, saving $35 on the normal price.

What was the percentage discount on the jacket purchased by the man?

The discount can be calculated as follows:

Discount = Normal price - Sale price

Discount = $35

Normal price = Sale price + Discount

Normal price = $150 + $35

Normal price = $185

So, the percentage discount is:

Percentage discount = (Discount / Normal price) x 100

Percentage discount = ($35 / $185) x 100

Percentage discount = 18.92%

Therefore, the man got a discount of 18.92% on the jacket.

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The annualized return for the entire period is the closest to 10.5%.

To calculate the annualized return for the entire period, we need to consider the returns for each year and the return in the first quarter of Year 4. Since the returns are given for each period, we can use the geometric mean to calculate the annualized return.

The formula for calculating the geometric mean return is:

Geometric Mean Return = [(1 + R1) * (1 + R2) * (1 + R3) * (1 + R4)]^(1/n) - 1

Where R1, R2, R3, and R4 are the returns for each respective period, and n is the number of periods.

Given the returns:

Year 1 return: 5% or 0.05

Year 2 return: 12% or 0.12

Year 3 return: -6% or -0.06

First quarter of Year 4 return: 2% or 0.02

Using the formula, we can calculate the annualized return:

Annualized Return = [(1 + 0.05) * (1 + 0.12) * (1 - 0.06) * (1 + 0.02)]^(1/3) - 1

Annualized Return = (1.05 * 1.12 * 0.94 * 1.02)^(1/3) - 1

Annualized Return = 1.121485^(1/3) - 1

Annualized Return ≈ 0.105 or 10.5%

Therefore, the annualized return for the entire period is approximately 10.5%.

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Answer:

1.2 Cm.

Step-by-step explanation:

If you multiply these three fractions you get 1.2 Cm. Or in fraction from 6/5

Hope this helped. Please correct me if I am wrong

Answer:

Step-by-step explanation:

1,-5

1. Revised Net Operating Income = $66,760

2. Revised Net Operating Income  =$64,640

3. Revised Net Operating Income  =$52,

1. If the sales volume increases by 40 units:

So, New Sales = 8,700 units + 40 units = 8,740 units

and, New Contribution Margin =

= $14.00 x 8,740 units

= 122, 360

New Fixed Expenses remain the same at $55,600

Then, Revised Net Operating Income

= New Contribution Margin - New Fixed Expenses

= 122360 - 55600

= 66,760.

2. If the sales volume decreases by 40 units:

New Sales = 8,700 units - 40 units = 8,660 units

New Contribution Margin

= 14 x 8660

= 121,240

New Fixed Expenses remain the same at $55,600

Then, Revised Net Operating Income

= New Contribution Margin - New Fixed Expenses

= 65,640

3. If the sales volume is 7,700 units:

New Sales = 7,700 units

New Contribution Margin

= 14 x 7700

= 107,800

New Fixed Expenses remain the same at $55,600

Then, Revised Net Operating Income

= New Contribution Margin - New Fixed Expenses

= 52, 200

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Answer:

Step-by-step explanation:

The domain of the function is x ∈ [ -4, ∞ )

Here, we are given a function as follows-

y = \(\sqrt{x + 4}\)

Now, domain is the set of all input values that a function can take. Or in other words, it is the set of all values that the independent variable can take such that the function exists.

Here, the independent variable is x

We know that square root of a negative number is imaginary. Thus, for y to be real, (x + 4) must be greater than or equal to 0

⇒ (x + 4) ≥ 0

x ≥ -4

This means that for all values of x greater than or equal to -4, the function exists.

Thus, the domain of the function is x ∈ [ -4, ∞ )

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Your question was incomplete. Check for missing content below-

What is the domain of the function y = sqrt(x + 4)?

The length of y in the triangle is 18.55 units.

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees. The side y of the triangle can be found using sine law.

Therefore,

a / sin A = b / sin B = c / sin C

Applying the sine law,

y / sin 106 = 15 / sin 51

cross multiply

y sin 51° = 15 sin 106°

divide both sides by sin 51°

y sin 51° / sin 51° = 15 sin 106° / sin 51°

y = 15 sin 106° / sin 51°

Therefore,

y = 15 × 0.96126169593 / 0.77714596145

y = 14.4189254391 / 0.77714596145

y = 18.5536589719

Hence,

y = 18.55 units

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Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer: 50 ft long and 6.25 ft wide

Step-by-step explanation:

The angle m∠JIX is 90 degrees.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90 degrees.

IG bisect CIJ. Hence,

m∠CIG ≅ m∠GIJ

Therefore,

m∠CIX = 150 degrees

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90 degrees because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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The measure of angle m∠JIX is  estimated to be 90⁰.

You should understand that an angle is a figure formed by two straight lines or rays that meet at a common endpoint, called the vertex.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90⁰.

Frim the given parameters,

IG⊥CIJ.

But;  m∠CIG ≅ m∠GIJ

⇒ m∠CIX = 150⁰

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90⁰ because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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With given linear equation p(t) =80(3/4)t for population of trees, Value of P(2) will be 45 or 45 thousands.

What is a linear equation?

A linear equation is an algebraic equation that describes a line in a two-dimensional plane. It can be written in the form y = mx + b, where m is the slope of the line, b is the y-intercept, and x and y are variables. The slope represents the rate of change of the line, and the y-intercept represents the point at which the line intersects the y-axis. Linear equations can be used to model a wide range of real-world phenomena, such as population growth, distance traveled over time, and temperature change.

Now,

To determine the value of p(2), we substitute t = 2 in the given equation:

p(2) = 80(3/4)2

= 80(9/16)

= 45

Therefore, the value of p(2) is 45, which means that the population of trees in the forest, in thousands, is 45 after 2 years since 2000. The given equation shows an exponential decay of the population of trees with a base of 3/4. This means that for every year that passes, the population of trees decreases by 3/4 of the previous year's population. In this case, after 2 years, the population has decreased from the initial value of 80,000 to approximately 45,000.

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Step-by-step explanation:

width = x

length= 3x

Area = length * width

243=3x * x

3÷243 =3x^2÷3

√81=√x^2

x=9

3x=3*9=27

Width=9

Length=27

Step-by-step explanation:

1)

4n+1=17

4n=16

n=4

2)

17=3x+2

3x=15

x=5

3)

5y-10=40

5y=50

y=10

The simplified expression is  d/ c⁴.

To simplify the expression cd³ c⁻⁵ x d⁻², we can combine the variables with the same base (c and d) by adding their exponents:

Using the property of exponents as

When multiplying two exponential expressions with the same base, you can add the exponents. This can be expressed as follows:

aᵇ x aⁿ= aᵇ⁺ⁿ

When dividing two exponential expressions with the same base, you can subtract the exponents. This can be expressed as follows:

aᵇ / aⁿ= aᵇ⁻ⁿ

So, cd³ c⁻⁵ x d⁻²

= c¹⁻⁵ x d³⁻²

= c⁻⁴ x d¹

= dc⁻⁴

Again from the property of exponents

a⁻ᵇ = 1/aᵇ

So,  dc⁻⁴

= d/ c⁴

Therefore, the simplified expression is  d/ c⁴.

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The statement "Since the y-values decrease as the x-values increase, the scatter plot shows a negative association" correctly explains the association of the scatter plot.

From the plot, we see that:

A scatter pIot is a type of graph that shows the reIationship between two variables. The variabIes are plotted on the x-axis and y-axis, and each data point is represented by a dot. The pattern of the dots can be used to infer the reIationship between the variables.

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Answer:Noah

Step-by-step explanation:

In the first mixture, the amount of soda is more and in the second mixture, the amount of orange juice is more.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

Sparkling Orange Juice Lin and Noah each have their own recipe for making sparkling orange juice.

Lin mixes 3 liters of orange juice with 4 liters of soda water. Then the ratio is given as,

Juice / Soda water = 3 / 4

Juice / Soda water = 0.75

Noah mixes 4 liters of orange juice with 5 liters of soda water. Then the ratio is given as,

Juice / Soda water = 4 / 5

Juice / Soda water = 0.80

In the first mixture, the amount of soda is more and in the second mixture, the amount of orange juice is more.

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The true statement for the function p(x) is p(-2) and p(0) cannot be compared as p(0) is undefined. Option D is correct.

The given function is a logarithmic function and it is undefined at x = 0.

First, let us understand the logarithmic function:

A logarithmic function is a function of the form which is read as “ y equals the log of x, base b” or “ y equals the log, base b, of x.” In both forms, x > 0 and b > 0, b ≠ 1.

We are given:

p(x) = log 5x

substitute x = 0 in the above equation, we will get;

p(0) = log 5 × 0

p(0) = log 0

p(0) = undefined

Thus, the true statement for the function p(x) is p(-2) and p(0) cannot be compared because p(0) is undefined. Option D is correct.

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Using the equation of the function p(x) below, determine which of the statements below is true. Show your work.

Captionless Image

p(-2) > p(0)

p(-2) < p(0)

p(-2) and p(0) cannot be compared because p(-2) is undefined.

p(-2) and p(0) cannot be compared because p(0) is undefined.

Answer:

it would be 9

Step-by-step explanation

\(arc \ length = 2\pi r \frac{\theta}{360} = \\\\\)\(2 \pi *9 * \frac{135}{360} =21.205\)

\(\frac{3\pi }{4} =\frac{3*180}{4}=135\)

Answer:

1a ) N_6 = 50 mg

1b) N_3 = 70.7 mg

1c) N_1 = 89.1 mg

2) f(t) = 100e^(-0.1155t)

Step-by-step explanation:

Formula to get amount remaining is;

N_t = N_o × ½^(t/t_½)

We are given;

N_o = 100 mg

t_½ = 6 years

We have; N_t = 100(½^(t/6))

Thus;

1a) amount left after 6 years is;

N_6 = 100 × ½^(6/6)

N_6 = 50 mg

1b) amount left after 3 years is;

N_3 = 100 × ½^(3/6)

N_3 = 70.7 mg

1c) amount left after 1 year is;

N_1 = 100 × ½^(1/6)

N_1 = 89.1 mg

2) to find the function to model the amount left after t years, let's use the formula;

f(t) = f_o × e^(-rt)

Where r is decay constant

Thus;

f(t) = 100e^(-rt)

We recall that N_t = 100(½^(t/6))

Thus;

100(½^(t/6)) = 100e^(-rt)

Divide both sides by 100 to get;

(½^(t/6)) = e^(-rt)

In (½^(t/6)) = In e^(-rt)

Using power rule, we have;

(t/6) In ½ = -rt In e

-0.6931t/6 = - rt (because In e = 1)

t will cancel out to give;

r = 0.6931/6

r = 0.1155

Thus;

f(t) = 100e^(-0.1155t)

The best statement that describes the amount of water in the pool is that it is decreasing during the time interval 4. That is option 3.

To determine the time interval of the water in the pool the following is carried out.

At 0 hour, the water is at the level of = 40 gallons

At 1 hour, the water decreased to = 25 gallons.

At 2 hours, the water decreased to = 10 gallons.

The water remained at a constant level till 4 hours.

Therefore, the amount of water in the pool is that it is decreasing during the time interval 4.

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