Calculate the area of the red triangle to find the area of the garden. Show your work. (2 points)

The answer is (C) This is not a functional relationship.

A functional relationship is a relationship between two variables in which each input (independent variable) maps to exactly one output (dependent variable).

In other words, for every value of x, there is only one corresponding value of y that satisfies the equation.

Here we have

The equation x² + y² = 10  

The equation x²+ y² = 10 represents a circle with a center at the origin and a radius of √10.

Since a circle passes through multiple points with the same x-coordinate or y-coordinate, it cannot be represented as a function.

Hence, the relationship shown in the equation is not a functional relationship.

Therefore,

The answer is (C) This is not a functional relationship.

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Complete Question:

Which of the following best describes the relationship shown in the equation x² + y² = 10

A. It cannot be determined if this is or is not a functional relationship.

B. This is a functional relationship.

C. This is not a functional relationship.

The solution to the differential equation is A. y = sin⁻¹(√2 - cosx)

To find the solution of the differential equation dy/dx = sinx/cosy, passing through the point (π/4, π/4) we proceed as follows.

dy/dx = sinx/cosy

So, cosydy = sinxdx

Integrating both sides, we have that

∫cosydy = ∫sinxdx

siny = -cosx + c

At the point (π/4, π/4), we have that

siny = -cosx + c

sin(π/4) = -cos(π/4) + c

1/√2 = -1/√2 + c

c = 1/√2 + 1/√2

c = 2/√2

c = 2/√2 × √2/√2

c = 2√2/2

c = √2

So, substituting the value of c into the equation, we have that

siny = -cosx + c

siny = -cosx + √2

Taking inverse sine of both sides, we have that

sin⁻¹siny = sin⁻¹(-cosx + √2)

y = sin⁻¹(√2 - cosx )

The solution is A. y = sin⁻¹(√2 - cosx)

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Answer:

y=2x+4

Step-by-step explanation:

There is an estimate that 340 of the school's 425 students have at least one sibling.

A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other.

To estimate the number of students in the school who have at least one sibling, we can use the proportion from the sample.

The proportion of students with at least one sibling can be calculated as:

= 96/120

= 0.8

Expected number of students with at least one sibling in the school:

= Proportion x Total number of students

= 0.8 x 425

= 340

Therefore, it would expect 340 of the 425 students at the school to have at least one sibling.

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Answer:109

Step-by-step explanation:

h(t) = -16t^2 + 80t + 9.

compare with equation ax%5E2%2Bbx%2Bc=0

a=-16, b=80 c =9

time to go to height h = -b%2F2a

=(80/32)= 2.5 s

time to go maximum height is t = = = = 2.5 seconds.

The maximum height you can get by substituting this value t= 3.5 in the formula

h(t) = -16t^2 + 80t + 9

h(2.5) = -16*2.5^2 + 80*2.5 + 9.

h =109m

17(4+15)

= 17*19

=323

Answer:- 323

According to the information, we can infer that the correct statement about causes and effects in paragraphs is: help the writer to explain reasons for an event (option B).

To select the correct option we have to look for a definition of "cause and effect". In summary, this concept refers to the development of an event and focuses on the relationship between some events with others, for example:

According to the above, the correct sentence about causes and effects is: help the writer to explain reasons for an event (option B).

Note: This question is incomplete. Here is the complete information:

Causes and effects in paragraphs do one of the following____

Help the reader to understand difficult concepts

Help the writer to explain reasons for an event

Help the writer to create an accurate image of an event

Help both writer and reader

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Answer:

  (C)  x = 1 1/3, y = 2 1/3

Step-by-step explanation:

You want the graphical solution to the system of equations ...

The graph of the equations is attached.

We presume you want an "estimate" because your graphing tool does not have minor gridlines appropriately graduated. It is easy enough to see that the x-value is between 1 and 2, closer to 1, and the y-value is between 2 and 3, closer to 2.

An estimate of (x, y) = (1 1/3, 2 1/3) is not unreasonable, and is the exact solution.

a) What is the initial height of the object?

The initial height of the object is the height at t = 0. Substituting t = 0 in the equation for s(t), we get:

s(0) = -8.05(0)^2 + 35(0) = 0

Therefore, the initial height of the object is 0 feet, which means it is on the surface of the planet.

b) What is the maximum height reached by the object?

The maximum height reached by the object occurs at the vertex of the parabolic function s(t). The vertex of a parabola of the form ax^2 + bx + c is given by the formula:

t = -b/2a

In this case, a = -8.05 and b = 35. Substituting these values, we get:

t = -35/(2*(-8.05)) = 2.17 seconds (rounded to two decimal places)

To find the maximum height, we substitute t = 2.17 seconds in the equation for s(t):

s(2.17) = -8.05(2.17)^2 + 35(2.17) = 34.09 feet (rounded to two decimal places)

Therefore, the maximum height reached by the object is 34.09 feet.

c) When does the object hit the ground?

The object hits the ground when its height s(t) is equal to 0. We can solve the equation -8.05t^2 + 35t = 0 to find the times when s(t) = 0:

-8.05t^2 + 35t = 0

t(-8.05t + 35) = 0

t = 0 or t = 4.34 seconds (rounded to two decimal places)

The first solution, t = 0, corresponds to the initial position of the object, so we can discard it. Therefore, the object hits the ground after approximately 4.34 seconds.

The simple interest on the principal $3,960 over 3 years at 6% is $712.8.

Given that, Reagan invested $18,500 in a savings for 2 years and earned interest of $1,850 at a rate of 5%.

Here, simple interest = (18500×5×2)/100

= $1850

A person earned interest of $3,960 over 3 years at 6%.

Here, simple interest = (3960×6×3)/100

= $712.8

Therefore, the simple interest on the principal $3,960 over 3 years at 6% is $712.8.

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Answer:

1.8

Step-by-step explanation:

An example of how you can report your analysis in APA style is

A one-way ANOVA was conducted to compare the effects of three conditions (High, Moderate, and Low) on the dependent variable. The results showed no significant difference between the groups, F(2, 12) = 1.77, p = .212. Therefore, we fail to reject the null hypothesis, as the p-value is greater than the typical alpha level of .05.

To put out a good APA report, ensure you know the independent and dependent variable. The information provided in the picture did not explicitly state the variables that was being tested. For example, "A one-way ANOVA was conducted to compare the effects of stress levels (independent variable) on the academic performance (dependent variable).

Secondly, you should know the significant level that helps you judge whether or not to reject the hypothesis.

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Answer:

Step-by-step explanation:

Answer:

[tex] \frac{ \sqrt{2} }{2} [/tex]

Step-by-step explanation:

I took the quiz :)

Answer:1: $124.25 2: 20,222.50Rs, 3: 33.90 euro, 4:0.94 pounds

Step-by-step explanation:

Answer:

[tex] \sqrt{ \frac{196 {a}^{16} }{ {a}^{14} } } = \sqrt{196 {a}^{2} } = 14 |a| [/tex]

Rectangular prism and triangular prism is discussed below.

Rectangular prism

Rectangular prism

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Answer:

To draw a figure with a perimeter of 20 units, you can start by drawing a shape with sides that add up to 20 units. For example, you could draw a rectangle with sides of 5 units and 5 units and two sides of 2.5 units each. This would give you a perimeter of 20 units.

Another example could be drawing a square with sides of 5 units each. This would also give you a perimeter of 20 units.

For the second figure, you could draw a triangle with sides of 8 units, 6 units, and 6 units. This would give you a perimeter of 20 units.

Alternatively, you could draw a pentagon with sides of 4 units each. This would also give you a perimeter of 20 units.

Step-by-step explanation:

The probability that Janie wins the game is approximately 0.0955.

The probability distribution of a binomial random variable is known as the binomial distribution. The sample space of a random experiment serves as the domain of a random variable, which is a real-valued function. To further comprehend this, let's look at an illustration.

We can approach this problem using the binomial distribution. Let X be the number of heads in the remaining tosses until one player wins the game, and let p be the probability that the coin lands tails (since if it lands tails, Janie earns a point). Since the first 33 tosses have already been made, there are 50 - 33 = 17 tosses remaining until one player wins.

Since 17 of the first 33 tosses were heads, there were 33 - 17 = 16 tails. Therefore, the probability of getting a tail is p = 1/2.

Let Y be the total number of tosses until one player wins. Since each toss is independent and has a probability of 1/2 of resulting in a head, Y follows a geometric distribution with parameter p = 1/2.

The game ends when one player reaches 18 points, which means there must be at least 35 tosses. Therefore, the probability that Janie wins the game is:

P(Janie wins) = P(Y = 35) + P(Y = 37) + P(Y = 39) + ... + P(Y = 67)

We can use the formula for the geometric distribution to calculate each of these probabilities:

[tex]P(Y = k) = (1 - p)^{(k-1)} * p[/tex]

where k is the number of tosses until one player wins. Plugging in p = 1/2, we get:

[tex]P(Y = k) = (1/2)^{(k-1)} * (1/2)[/tex]

Now we can substitute this into the expression for P(Janie wins):

P(Janie wins) = (1/2)³⁴ + (1/2)³⁶ + (1/2)³⁸ + ... + (1/2)⁶⁶

This is a finite geometric series with first term (1/2)³⁴ and common ratio 1/4 (since each successive term is multiplied by (1/2)²). Therefore, we can use the formula for the sum of a finite geometric series to simplify the expression:

P(Janie wins) = [(1/2)³⁴ * (1 - (1/4)¹⁷)] / (1 - 1/4)

= [(1/2)³⁴ * (1 - (1/2)³⁴)] / (3/4)

= 0.0955

Therefore, the probability that Janie wins the game is approximately 0.0955.

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Answer:

Step-by-step explanation:

did you figure it out?  i need help too

The calculated value of the cosecant of ∠C is 1.33

From the question, we have the following parameters that can be used in our computation:

CD = 27

CE = 36

The cosecant of ∠C. is then calculated as

Cosecant ∠C. = CE/CD

substitute the known values in the above equation, so, we have the following representation

Cosecant ∠C. = 36/27

Evakuate

Cosecant ∠C. = 1.33

Hence, teh solution is 1.33

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He would have $13,409 in the account after four years .

We have the information from the question:

Money saver's Bank offers a savings account that earns 8.5% interest compounded continuously.

And, Goran deposits is $2300.

Now, According to the question:

Principle of the amount is = $2300

Rate of Interest is = 8.5% continuously

Time period = 4 years

We have to apply the formula :
[tex]A = Pe^R^T[/tex]

[tex]A=2300e^8^.^5^(^4^)[/tex]

A = 2300 × 5.83

A = $13,409

Hence, He would have $13,409 in the account after four years .

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Answer:  The continuous interest rate at which the money was invested is approximately 15.4%.

Step-by-step explanation: We can use the formula for continuous compounding to find the value of r:

A = Pe^(rt)

Where A is the final value, P is the initial investment, e is the base of the natural logarithm, r is the continuous interest rate, and t is the time.

Plugging in the given values, we get:

$100,000 = $25,000e^(r*18)

Dividing both sides by $25,000 and taking the natural logarithm of both sides, we get:

ln(4) = 18r

Solving for r, we get:

r = ln(4)/18 ≈ 0.154

Multiplying by 100 to convert to a percentage and rounding to one decimal point, we get:

r ≈ 15.4%

Therefore, the continuous interest rate at which the money was invested is approximately 15.4%.

To calculate the percent change in population, we first need to find the difference between the two population numbers, then divide that difference by the original population, and finally, multiply by 100 to get the percentage change.

The difference in population is:

50,000 - 48,000 = 2,000

To find the percent change, we divide the difference by the original population:

2,000 / 50,000 = 0.04

Finally, we multiply by 100 to get the percentage change:

0.04 x 100 = 4%

Therefore, the percent change in the town's population from 2000 to 2010 is a decrease of 4%.

Step-by-step explanation:

To find the percent change, we need to calculate the difference between the initial population and final population, and then divide it by the initial population.

Change in population = Final population - Initial population

= 48,000 - 50,000

= -2,000

Since the change is negative, it means that there was a decrease in the population.

Percent change = (Change in population / Initial population) x 100%

= (-2,000 / 50,000) x 100%

= -0.04 x 100%

= -4%

Therefore, the percent change in the town's population is -4%.

The margin of error is 0.35

According to Amelia's results, 42% of students prefer coffee in the morning.

If the margin of error is ±0.072, between 689 and 978 students at the school prefer coffee.

How do we calculate for the percentage and margin of error?

To calculate percentages;

total coffee takers/ total number of students surveyed x 100.

TCT= 63  TSS = 150 which then becomes 63/150x 100 = 42

To calculate the margin of error;

TCT/TSS - ME  and TCT/TSS + ME, which becomes

63/150 + 0.072 = 0. 49

63/150 - 0.072 = 0.35

Next, we calculate the highest and lowest number by saying;

0.49 x total number of students in the school  1,981 =

0. 35 x total number of students in the school  1,981 =

The above answer is in response to the full question below;

There are a total of 1,981 students enrolled at Amelia's high school. Amella surveyed 150 of the students regarding their morning drink preference. Her results are recorded in the table.

Drinks                               number

Milk                                     45

Juice                                   18

Coffee                                 63

Smoothie                            11

Others                                 13

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Answer:

drop down 1: 42%

drop down 2: 689

drop down3 : 975

Step-by-step explanation:

Answer:

mark me brilliant

Step-by-step explanation:

First, we need to determine the amount of time each sales representative can spend on selling each week.

A 40-hour work week is equivalent to 2,400 minutes (40 hours x 60 minutes/hour).

If 50% of each rep's time is consumed by non-selling tasks and travel time, then they have 1,200 minutes (2,400 minutes x 50%) available for selling each week.

Each sales call takes 32 minutes, so a rep can make 75 sales calls per week (1,200 minutes available for selling ÷ 32 minutes per sales call).

It takes 10 visits per year to acquire and service each account, which means a sales rep needs to visit each of the 688 potential adopters 10 times per year, or 6,880 visits in total per year.

Each sales rep can make 75 visits per week, which means they can make 3,900 visits per year (75 visits per week x 52 weeks in a year).

Therefore, Shannon will need to hire 1.76 sales reps (6,880 total visits needed ÷ 3,900 visits per year per sales rep).

Rounding up to the nearest 1/10 of a rep, Shannon should hire 1.8 sales reps.