A baseball fan is seated in the upper deck of a stadium 200 feet away from
homeplate. If the angle of depression to the field is 62 degrees, at what height is
the fan sitting? Hint: draw a picture and label the parts of the triangle and use
your trig ratio to find the height.*

Answer:

correct option is  C. $399,060

Step-by-step explanation:

given data

balloon mortgage = 7/23

initial payments = $915

time = 30 year

new payments = $895

solution

we know here that 7/23 is that loan has fixed rate =  first 7  years.

so that initial payments for 7 years is here

initial payment = 7 × 12 × 915

initial payment = $76860

and

payments for 30 years when refinance her balloon

payments for 30 year = 30 × 12 × 895

payments for 30 year = $322200

so total financed cost paid for her house is

total financed cost =  $76860 + $322200  

total financed cost = $399,060

so correct option is  C. $399,060

Final answer:

To determine the total financed cost of Margaret's house, one must sum the payments made during the initial balloon mortgage and the subsequent 30-year mortgage, totaling $399,060 (Option C).

Explanation:

The total financed cost that Margaret paid for her house can be calculated by adding the payments made during her initial 7-year balloon mortgage period to the payments for the 30-year mortgage she refinanced into.

For the balloon mortgage: 7 years = 84 months. Therefore, the total paid during this period is 84 months × $915/month = $76,860.

For the refinanced mortgage: 30 years = 360 months. Hence, the total paid after refinancing is 360 months × $895/month = $322,200.

Adding these two amounts gives us the total financed cost which is $76,860 + $322,200 = $399,060. The answer to the student’s question is C. $399,060.

Answer:

Since h(max) is less than 30 ft, it will never reach a height of 30ft

The maximum height it can reach is 11.25ft.

Step-by-step explanation:

Given;

The height equation of the rock;

h = -16t^2 +20t +5

To determine whether it would reach 30 ft, we need to find its maximum height. Which is at;

dh/dt = 0

dh/dt = -32t +20 = 0

At Maximum height.

t = 20/32

We then substitute into the height equation.

h(max) = -16(20/32)^2 + 20(20/32) +5

h(max) = 11.25 ft

Since h(max) is less than 30 ft, it will never reach a height of 30ft

The maximum height it can reach is 11.25ft.

Answer:

There are no real solution to the equation [tex]h = -16t^2 +20t +5[/tex] when h = 35 ft.

Step-by-step explanation:

Here we have the equation for the height of the rock in ft given as

[tex]h = -16t^2 +20t +5[/tex]

For the rock to reach 30 ft we must have

[tex]30 = -16t^2 +20t +5[/tex]

That is [tex]0 = -16t^2 +20t +5 - 30 = -16t^2 +20t -25[/tex]

[tex]0 = -16t^2 +20t -25[/tex] or

[tex]16t^2 -20t +25 = 0[/tex]

From which it is observed that since the root of the equation is given by the quadratic formula

b² should be greater than 4·a·c  however

(-20)²[tex]\ngeqslant[/tex] (4×16×25)

Hence the equation has only imaginary roots.

Answer:

The domain is the set of inputs, the range is the set of outputs

The true statements are options (A) f(x) has a domain of all real numbers, and (C) g(x) has a domain of all real numbers.

The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.

A. True: The function f(x) = (4)ˣ has a domain of all real numbers, as exponentiation is defined for any real number exponent.

B. False: The function g(x) = (4)⁻ˣ has a range of y ≥ 0, since exponentiation with negative exponent results in a positive number for any real number x.

C. True: The function g(x) = (4)⁻ˣ has a domain of all real numbers, as exponentiation is defined for any real number exponent.

D. False: The function h(x) = -(4)ˣ has a range of y ≤ 0, since exponentiation with positive exponent results in a positive number for any real number x, and multiplying it by -1 results in a negative number.

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The question seems to be incomplete, the complete question would be as:

Consider the three functions: f(x) = (4)ˣ, g(x) = (4)⁻ˣ, and  h(x) = –(4)ˣ

Which statements are true about the domain and range of f(x), g(x), and h(x)? Check all that apply.

A. f(x) has a domain of all real numbers.

B. g(x) has a range of y < 0.

C. g(x) has a domain of all real numbers.

D. h(x) has a domain of x > 0.

Answer: Approximately 33 feet

Step-by-step explanation: Please refer to the attched diagram.

The 20ft ladder is placed on the wall at an agle of 85° with the ground.

If the person on the ladder were to lean back and fall to the ground (rotating the ladder away from the wall), then the distance he would have covered before he hits the ground is depicted by the arc as shown in the diagram. The ladder upon touching the ground would remain the same, which is 20 feet. So what the question requires is the length of the arc made during the fall, and the length of the ladder both on the wall an on the floor would be the radius (20 ft) while the angle subtended by the arc is 95° ( angles on a straight line equals 180, that is 85 + 95 = 180)

Therefore the length of an arc is given as;

Length of arc = (∅/360) x 2πr

Where ∅ = 95 and r = 95

Length of arc = (95/360) x 2 x 3.14 x 20

Length of arc = (19/72) x 125.6

Length of arc = 2386.4/72

Length of arc = 33.1444

Length of arc ≈ 33 feet (To the nearest foot)

The person on the ladder would have travelled approximately 33 feet before he/she hits the ground.

The person falls a distance of approximately 19.924 feet.

In this question, we must determine the vertical distance travelled by the person ([tex]y[/tex]), in feet. Let consider that the ladder is set between a horizontal ground and a vertical wall.

Then, the vertical distance is determined by the following trigonometric expression:

[tex]y = l\cdot \sin\theta[/tex] (1)

Where:

If we know that [tex]l = 20\,ft[/tex] and [tex]\theta = 85^{\circ}[/tex], then the vertical distance travalled by the person:

[tex]y = (20\,ft)\cdot \sin 85^{\circ}[/tex]

[tex]y \approx 19.924\,ft[/tex]

The person falls a distance of approximately 19.924 feet.

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Answer:

4 hammers

Step-by-step explanation:

Please refer to the attached image for explanations

Answer:

6

Step-by-step explanation:

area is base times height so 3 times 2 is 6

Hello there!

The area of the purple rectangle is 6 m^2, because 3x2 is 6, and the area of the green one is 24 m^2. Add them together to get the total area:

24 + 6 = 30 m^2

:)

Answer:

<1 : 36 degrees

<2 : 90 degrees

<3 : 36 degrees

<4 : 54 degrees

Step-by-step explanation:

First off, rhombus's have right angles formed at the middle, meaning that <2 is 90 degrees. Then, it's given that angle is 54 degrees, and its alternate interior angle is the one that is adjacent to <3. To find <1, add 90 and 54, and subtract that from 180. So <1 is 36 degrees. So that automatically makes < 3, 36 degrees and < 4, 54 degrees.

Answer: True

Step-by-step explanation:

If you draw a vertical number line, the numbers in it will infinitely extend in both directions (up and down), having the zero 0 as the neutral number (the origin).

Then, the numbers that are above the origin are the positive integers and represent the distance of an object above zero, while the numbers below the origin are the negative integers and represent perfectly the distance of an object underground (below the origin).

The statement is true, negative numbers can be used to represent the distance of an object below a reference point, such as underground relative to the surface.

True or false? You can represent the distance of an object underground using negative numbers.

The statement is true. In mathematics, especially when dealing with physical situations like displacements and positions, using negative numbers to indicate direction is a common practice. We often choose a frame of reference and a positive direction at the beginning of a problem. In this context, for example, if we define the surface of the ground as our reference point and the direction away from the center of the Earth (upwards) as positive, then it would take sense to use negative numbers to represent the distance of an object that is located underground, indicating it is below the reference point.

Answer:

6

Step-by-step explanation:

for 12 papers?

12 is the total amount

2 is the amount of piles

12 divided by 2 is 6.

there are 6 papers in each pile

Final answer:

To find out the number of papers in each pile, divide the dozen papers by the two piles, resulting in 6 papers per pile.

Explanation:

The question asks about dividing papers into two piles with an equal number of papers in each pile. Since it mentions there are 12 papers in total on the desk, we know that the number 12 represents a dozen, which is a common grouping for small objects to make counting and handling more efficient. To find out how many papers are in each pile, we simply divide the total number of papers by the number of piles. There are 2 piles on the desk, so we would perform the following calculation:

Therefore, each pile contains 6 papers.

Answer:

3 cm

Step-by-step explanation:

3 cm converted to mm would be 30 mm which is bigger than 25 mm

C. w= 3V/lh

D. V/B=h/3

E. V=w^2h/3

The equation that can describe a square pyramid include:

It should be noted that a square pyramid simply means a pyramid that has a square base.

The equations that could describe a square pyramid include w = 3v/lh, v/b = h/3, and v = w²h/3. When the top is above the center of the square, it's a right square pyramid.

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Answer:

The area of the bedroom actually is 453.75 sq ft.

Step-by-step explanation:

Given that,

A blueprint shows the master bedroom to be 5 inches long and 3 inches wide.

The scale on blueprint is 2 inches : 11 feet.

It means 2 inches = 11 feet.

Then,

1 inches [tex]=\frac{11}{2}[/tex] feet = 5.5 feet.

So,

The length of the bedroom is 5 inches = (5×5.5) feet=27.5 feet

The wide of the bedroom is 3 inches = (3×5.5) feet= 16.5 feet

The area of the bedroom actually is = length × wide

                                                            =(27.5×16.5) square ft

                                                            =453.75 square ft

Final answer:

To find the area of the actual bedroom, you need to use the scale provided on the blueprint. By setting up ratios and solving for the actual length and width, you can find that the area of the actual bedroom is 453.75 square feet.

Explanation:

To find the area of the actual bedroom, we need to use the scale provided on the blueprint. The scale states that 2 inches on the blueprint represents 11 feet in reality. So, we can set up a ratio to find the actual length and width of the master bedroom:

Length ratio: 2 inches ⁠∩⁠ 11 feet = 5 inches ⁠∩⁠ x feet
Width ratio: 2 inches ⁠∩⁠ 11 feet = 3 inches ⁠∩⁠ y feet

By cross-multiplying and solving for x and y, we can find that x = 27.5 feet and y = 16.5 feet. Therefore, the actual length of the bedroom is 27.5 feet and the actual width is 16.5 feet. To find the area, we simply multiply the length and width: Area = 27.5 feet × 16.5 feet = 453.75 square feet.

The equation [tex]\( K = C + 237.15 \)[/tex]) provides a way to convert temperatures from degrees Celsius to Kelvin. It reflects the fact that the Kelvin scale starts from absolute zero and is offset from the Celsius scale by 273.15 degrees.

K as the temperature in Kelvin,

C as the temperature in Celsius.

We're given that a temperature in Kelvin is 237.15 greater than the temperature in degrees Celsius. So, we can express this relationship as an equation:

[tex]\[ K = C + 237.15 \][/tex]

This equation shows that to convert from Celsius to Kelvin, you add 237.15 to the Celsius temperature. Similarly, to convert from Kelvin to Celsius, you subtract 237.15.

Here's the equation:

[tex]\[ K = C + 237.15 \][/tex]

1. **Definition of Kelvin and Celsius Scales**:

  - Kelvin (K): Kelvin is an absolute temperature scale where 0 Kelvin represents absolute zero, the lowest possible temperature where particles cease to move. One Kelvin is equal in magnitude to one degree Celsius.

  - Celsius (C): Celsius is a temperature scale based on the freezing and boiling points of water, where 0 degrees Celsius represents the freezing point of water and 100 degrees Celsius represents the boiling point of water at standard atmospheric pressure

2. **Relationship between Kelvin and Celsius**:

  - To convert from Celsius to Kelvin, you add 273.15 to the Celsius temperature. This adjustment is made because the Kelvin scale starts from absolute zero, which is -273.15 degrees Celsius.

3. **Given Relationship**:

  - The given information states that a temperature in Kelvin is 237.15 greater than the temperature in degrees Celsius. This means that to convert from Celsius to Kelvin, you add 237.15 to the Celsius temperature.

  - We can express this relationship mathematically as [tex]\( K = C + 237.15 \).[/tex]

    - Here, [tex]\( K \)[/tex] represents the temperature in Kelvin, and  [tex]\( C \)[/tex]represents the temperature in degrees Celsius.

    - Adding 237.15 to the Celsius temperature converts it to Kelvin.

  - The equation [tex]\( K = C + 237.15 \)[/tex]) provides a way to convert temperatures from degrees Celsius to Kelvin. It reflects the fact that the Kelvin scale starts from absolute zero and is offset from the Celsius scale by 273.15 degrees.

Answer:

p= 8

Step-by-step explanation:

1/2 p = 4

p = 2(4)

Answer:

p=8

Step-by-step explanation:

This will ake the problem 8/2 which is the same as 4.  

Thus, 8 is your answer.

Leave 5 stars if this helped.

Answer:

D. 21,386

Step-by-step explanation:

The question is incomplete. Here is the complete question.

"The number of trees in a forest follows the logistic growth function,

f(t) = 32000/1+12.8e^-0.065t where t is the time in years. According to the growth model, how many trees will there be after 50 years?"

Given the logistics growth function,

f(t) = 32000/1+12.8e^-0.065t

To calculate the number of trees that will be there after 50years, we will substitute the value of t = 50 into the function

f(50) = 32000/1+12.8e^-0.065(50)

f(50) = 32000/1+0.496

f(50) = 32000/1.496

f(50) = 21,385.94

f(50) = 21,386

Number of trees that will be there after 50years is 21,386years

Answer:

Straight line joining (0,6) and (24,0)

Step-by-step explanation:

y = (-1/4)x + 6

Make a straight line passing through:

y = 0 + 6 = 6

(0,6)

And

0 = (-1/4)X + 6

-6 = -x/4

x = 24

(24,0)

sorry honey but i dot have a graph to you how but

all you do is  start at 6 positive and then mark a point one down and 4 to left and mark other point and then draw a line through it

Answer:

  5012

Step-by-step explanation:

Five thousand: 5000

Twelve: 12

Five thousand twelve: 5000 +12 = 5012

_____

Comment on "and"

I was taught to reserve the use of "and" for indicating a decimal point. For example, "five thousand and twelve hundredths" = 5000.12

Final answer:

The number five thousand and twelve is written in numerical form as 5012, with 'five thousand' representing 5000 and 'twelve' adding 12.

Explanation:

The number five thousand and twelve written in numerical form is 5012.

When converting numbers from word form to figure form, it is essential to identify the value of each word in the context of place value. In this case:

Thus, combining those two values brings us to the total figure of 5012.

Answer: 4ft too the 2 power

Step-by-step explanation:

Answer:

2

Step-by-step explanat

Answer:

B

Step-by-step explanation:

Answer:

the equation would be

28÷(11.50+5.50)

hope this helps :)

Answer:

28=5.50h+11.50

Step-by-step explanation:

Answer:

(a)25% of 100 < 75% of 100

(b)25% of -100 > 75% of -100

Step-by-step explanation:

If Lillian says that 25% of a number will always be less than 75% of any other number.

We are required to complete two inequality one of which supports and the other refutes the statement.

Support

Let our number be 100

25% of 100 < 75% of 100

25<100

This is true.

Refute

Let our number be -100

25% of -100 > 75% of -100

-25>-100

Therefore, for negative numbers, the inequality will not be true as:

-25>-100.

Answer:

20x + 12y -21

Step-by-step explanation:

Do the operation and put in the another side.

Answer:

4(5x+3y-7) = [20x] + [12y] + [- 28]

Step-by-step explanation:

4(5x+3y-7)

1) Distribute the 4 to each term in the parenthesis.

4(5x) + 4(3y) + 4(-7)

2) Multiply.

20x + 12y - 28 ← Final Answer

Answer: x = -1

Step-by-step explanation:

1) x - 5 = 36 -7x -49

2) x - 5 = -13 -7x

3) x + 7x =- 13 +5

4) 8x =- 8

5) x = -1

Please mark this as the brainliest answer! :) I hope this helped! <3

Answer:

it will take 20hrs to fill the pool

Answer:

It would take 20 hours to fill the pool.

Step-by-step explanation:

We are give the Dimensions of the Pool. Recall that Volume of a Rectangular Prism is V = l*w*h which will return 800[tex]m^{3}[/tex]. Using Dimensional Analysis and recalling that the rate is being pumped at a rate of [tex]\frac{40m^{3}}{h}[/tex],   [tex]\frac{m^{3} }{\frac{m^{3}}{h} } = h[/tex] so, just divide the Volume by the Rate given since they are under the same units: [tex]\frac{16*10*5}{40} = \frac{800}{40} = 20 hours[/tex].

Answer:

149,730 strawberries

Step-by-step explanation:

Answer:

149,730 strawberries

Step-by-step explanation:

Answer: 20 pesos.

Step-by-step explanation: Your basically dividing 500 by 25. Hope this was helpful. :)

Answer:

20 ₱ (Pesos)

Step-by-step explanation:

$500 to Mexican Pesos

$25 = ₱1

25*4*5 = 1*4*5

$500 = 20 ₱

the average of wieght od the kittens in the slether?

Answer:

a.  total cost including discount = 64.47

b. sales would be greater if tax was added before

Step--step explanation:

The total cost of the shirts including the discount is $64.57 and  total cost of the shirts including the 6.5% sales tax would be greater if the tax was applied after a 15% discount is taken, rather than before.

percentage, a relative value indicating hundredth parts of any quantity.

The cost of one shirt after a 15% discount is $9.99 - ($9.99 x 0.15) = $8.49.

The cost of two shirts costing $11.99 each after a 15% discount

2 x ($11.99 - ($11.99 x 0.15)) = $20.38.

The cost of two shirts costing $21.00 each after a 15% discount

2 x ($21.00 - ($21.00 x 0.15)) = $35.70.

Therefore, the total cost of the shirts including the discount

$8.49 + $20.38 + $35.70

= $64.57.

If the tax is applied before the discount, then the taxable amount would be the original price of the shirts, which is $9.99 + (2 x $11.99) + (2 x $21.00) = $84.97.

The tax on this amount at 6.5% would be $5.52.

After the 15% discount, the total cost of the shirts would be $64.57, which includes the $5.52 tax.

Therefore, the total cost of the shirts after the discount and tax

$59.05 + $5.52 = $64.57.

The total cost of the shirts including the 6.5% sales tax would be greater if the tax was applied after a 15% discount is taken, rather than before.

Hence,  the total cost of the shirts including the discount is $64.57 and  total cost of the shirts including the 6.5% sales tax would be greater if the tax was applied after a 15% discount is taken, rather than before.

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