The antenna for a television station is located at the top of a 2000-ft transmission tower. Find the line-of-sight (LOS) coverage for the TV station if the receiving antenna is 40-ft above the ground.

The y-intercept represents the loan amount initially. And the rate of change of the function will be negative The equation of Mr. Allen's plan will be y = - 80x + 560 and Mr. Jessup's plan will be y = - 40x + 400.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

From the graph, the y-intercept of the line represents the value of the loan initially.

From the graph, the slope of both lines is negative, then the rate of change of the function will be negative.

Let 'x' be the number of months and 'y' be the amount owed.

The two points are (0, 560) and (1, 480). Then the equation of the line is given as,

(y - 560) = [(560 - 480) / (0 - 1)](x - 0)

y - 560 = - 80x

y = - 80x + 560

And the equation of the line for Mr. Jessup's plan will be given as,

y = - 40x + 400

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ1

Answer: 1/4

Step-by-step explanation:

slope = (y2 - y1) / (x2 - x1)

         = (6 - 5) / (5 - 1)

         = 1/4

What is Null hypothesis?

The null hypothesis assumes that any difference between the selected attributes in a set of data is attributable to chance. For example, if the predicted earnings for the gambling game are genuinely zero, then any discrepancy between the data's average earnings and zero is due to chance.

(a) The appropriate null and alternative hypotheses for this setting are:

Null hypothesis: The actual mean systolic pressure (μ) of the individual is not greater than 130 (μ ≤ 130).

Alternative hypothesis: The actual mean systolic pressure (μ) of the individual is greater than 130 (μ > 130).

(b) Type I error occurs when the null hypothesis is rejected when it is actually true. In this case, it means that the device recommends that the person seeks medical attention when they do not actually need it. The consequence of this error is that the person may undergo unnecessary medical tests or treatments, which can be costly, time-consuming, and can cause anxiety or other negative effects.

Type II error occurs when the null hypothesis is not rejected when it is actually false. In this case, it means that the device does not recommend medical attention when the person actually needs it. The consequence of this error is that the person may not receive the necessary medical attention and treatment, which can lead to serious health problems, including organ damage or failure, stroke, or heart attack.

(c) In this scenario, the cost of making a Type II error is likely to be much higher than the cost of making a Type I error. The reason is that failing to detect high blood pressure in a person can have serious health consequences. Therefore, it is better to make the Type I error probability smaller and the Type II error probability larger. This means that the device should be adjusted to have a higher threshold for recommending medical attention, which would decrease the likelihood of a false alarm, even if it increases the likelihood of missing some cases where medical attention is needed.

To know more about Null hypothesis visit,

https://brainly.com/question/4436370

#SPJ1

The initial assertion that forms the null hypothesis frequently rests on research from the past or expert knowledge. According to the alternative hypothesis, a population parameter is either less, larger, or different from the value predicted by the null hypothesis.

A type I error (false-positive) occurs when a researcher rejects a null hypothesis that is actually true in the population; if the researcher does not do this When a null hypothesis is rejected even when it is false in the population, this is known as a type II error (false-negative).

Parameter Hypothesis testing is a second sort of statistical inference.

To know more about blood pressure visit:

https://brainly.com/question/12497098

#SPJ1

sin(44)=w/30

w=20.8397511138

cos-1(w/45)

x=62.4123128

Answer:

A

Step-by-step explanation:

Rays start at one point and continue forever in the same direction. Based off of this, we can eliminate options B, C, and D because they are all talking about line segments, which are completely different than rays. Therefore, the answer is A.

Answer:

your answer is 0.4

Step-by-step explanation:

you can look for persentage calculators in

Answer:

Let the percentage be x%

\(x\% \: of \: 9000 = 36 \\ \frac{x}{100} \times 9000 = 36 \\ 90x = 36 \\ x = \frac{36}{90} \\ \boxed{x =0. 4}\)

If demand or annual usage increases by 10 percent, the Economic Order Quantity (EOQ) will increase. The EOQ model is used in inventory management to determine the optimal order quantity that minimizes total inventory costs.

The Economic Order Quantity (EOQ) is a model used in inventory management to determine the optimal order quantity that minimizes total inventory costs. It takes into account factors such as demand, holding costs, and ordering costs. When demand or annual usage increases by 10 percent, it means that more units are being consumed or sold within a given time period.

With an increase in demand, the EOQ will also increase. This is because the EOQ formula takes into consideration the trade-off between holding costs and ordering costs. Holding costs are the costs associated with holding inventory, such as warehousing and insurance, while ordering costs are the costs incurred when placing an order, such as administrative and transportation costs.

When demand increases, more units need to be ordered to meet the higher demand. This results in an increase in ordering costs, as more frequent orders will need to be placed. Consequently, the EOQ will increase to find the new optimal order quantity that balances the increased ordering costs with the holding costs.

In summary, if demand or annual usage increases by 10 percent, the EOQ will increase due to the need to order more frequently to meet the higher demand, resulting in increased ordering costs. This adjustment ensures that the inventory management system remains efficient and cost-effective.

Learn more about the EOQ model

brainly.com/question/31116407

#SPJ11

Answer:

The amount of the markup is $2. The full price is $7

Step-by-step explanation:

%40 is 4/10, this can be simplified into 2/5

2/5 of 5 is 2

it is marked up so we add them together

5+2=7

Answer:

Mike is right. 152 is larger than 33 + 53/

Step-by-step explanation:

First we need to add 53 + 33 to see if it will equal up ro 152. So 53 + 33 = 86.

86 is less than 152, so Mike is correct and Karen is wrong, as usual.

Answer:

1.44

Step-by-step explanation:

To solve this problem all you have to do is multiply the number in the parentheses the number of times the exponent is.

1.2 x 1.2 = 1.44

Hope this helps :)

Answer:

vffffffff

Step-by-step explanation:

Answer:

Gain perceent= (SP-CP)/CP *100

By selling 48 metres of cloth I gain the selling price of 16metres.

Let SP of 48m cloth = 48x

Gain = 16x

CP of 48m cloth = 48x - 16x = 32x

Gain % = gain/CP × 100

Gain % =32x/16x × 100 =

i.e200% his profit is 200 %Step-by-step explanation:

Recall that when adding polynomials you need to combine "like terms" (that is the terms that contain the SAME VAriable (letter) part.

Then in the addition:

(x + 2 y - 4 z) + ( x - 4 y + 6 z)

we combine:

x + x = 2 x

2 y - 4 y = - 2 y

and

- 4 z +6 z = 2 z

obtaining finally:

2 x - 2 y + 2 z

The thirty-fourth term of the arithmetic sequence is the thirty-second term plus the common difference, which is not equal to 0.

The thirty-fourth term of the arithmetic sequence is calculated by adding the common difference to the thirty-second term. The common difference is the amount by which each successive term increases or decreases. As the common difference is not equal to 0, the thirty-fourth term is not the same as the tenth or second terms. The second, tenth, and thirty-fourth terms form a geometric sequence, which means that the ratio between any two successive terms is always the same. This ratio is determined by the common difference of the arithmetic sequence, and the thirty-fourth term can be calculated by adding the common difference to the thirty-second term.

Learn more about arithmetic sequence here

https://brainly.com/question/29616017

#SPJ4

The AABB of the sphere P is (5, 4, 6) to (15, 14, 16), and the AABB of object Q is (-9, -6, -2) to (3, 2, 1). The AABBs of P and Q do not collide with each other.

To find the Axis-Aligned Bounding Box (AABB) of an object, we need to determine the minimum and maximum coordinates along each axis.

For the sphere P with a radius 5 units and center (10, 9, 11), the AABB can be calculated as follows:

Minimum coordinates: (10 - 5, 9 - 5, 11 - 5) = (5, 4, 6)

Maximum coordinates: (10 + 5, 9 + 5, 11 + 5) = (15, 14, 16)

Therefore, the AABB of P is defined by the minimum coordinates (5, 4, 6) and the maximum coordinates (15, 14, 16).

For the object Q defined by the vertices (-9, 1, -2), (-5, 1, -1), (1, -2, 1), (3, -6, -1), (3, 2, 1), we need to find the minimum and maximum coordinates among these vertices:

Minimum coordinates: (-9, -6, -2)

Maximum coordinates: (3, 2, 1)

Therefore, the AABB of Q is defined by the minimum coordinates (-9, -6, -2) and the maximum coordinates (3, 2, 1).

To determine if the AABBs of P and Q collide, we need to check if any of the dimensions of one AABB overlap with the dimensions of the other AABB. In this case, we compare the x, y, and z coordinates of the minimum and maximum vertices of each AABB.

The AABB of P has minimum coordinates (5, 4, 6) and maximum coordinates (15, 14, 16).

The AABB of Q has minimum coordinates (-9, -6, -2) and maximum coordinates (3, 2, 1).

By comparing the x-coordinates, we can see that the range of the x-axis of P (5 to 15) does not overlap with the range of the x-axis of Q (-9 to 3). Therefore, the AABBs of P and Q do not collide with each other.

Similarly, we can check the y and z coordinates to confirm that there is no overlap between the AABBs of P and Q.

In conclusion, the AABBs of P and Q do not collide with each other.

Know more about the minimum coordinates click here:

https://brainly.com/question/19650203

#SPJ11

Answer:

(4, 5)

Step-by-step explanation:

Add the two x values and divide by two, add the two y values and divide by two. Then put them in brackets and those are your coordinates.

When the government sets a price floor of $9.00, it can lead to a decrease in consumer surplus, producer surplus, and an increase in deadweight loss.

Specifically:

1. Consumer surplus: The price floor raises the price above the equilibrium price, leading to a decrease in consumer surplus as consumers now pay more for the same good.

2. Producer surplus: The price floor can result in a surplus of goods if the quantity supplied exceeds the quantity demanded at the higher price. In this case, producers may not be able to sell all their goods, leading to a decrease in producer surplus.

3. Deadweight loss: The price floor disrupts the efficient allocation of resources in the market, creating a deadweight loss due to the reduction in the overall quantity of goods traded. This inefficiency represents a loss in total welfare.

Learn more about price here:

https://brainly.com/question/19091385

#SPJ11

Answer:

Step-by-step explanation:

As you move from left to right along the graph, each y-value gets larger and larger.  Therefore the y value is always increasing.  The correct answer is D.

(a) The area of the circle is approximately  352.77 m² ± 39.77 m².

(b) The circumference of the circle is approximately 66.77 m ± 3.77 m.

To calculate the area and circumference of the circle and their uncertainties, we'll use the following formulas: (a) Area of a circle: A = πr²

(b) Circumference of a circle: C = 2πr

Given: Radius (r) = 10.6 ± 0.6 m

(a) Area of the Circle:

To calculate the area, we'll substitute the given value of the radius into the formula and calculate the area.

A = πr²

  = π(10.6 m)²

  = π(112.36 m²)

  ≈ 352.77 m² (rounded to two decimal places)

To determine the uncertainty in the area, we'll use the formula for propagated uncertainty:

Uncertainty in A = |(∂A/∂r)| × Uncertainty in r

Where (∂A/∂r) is the partial derivative of A with respect to r.

∂A/∂r = 2πr

Substituting the values:

Uncertainty in A = |(2πr)| × Uncertainty in r

                       = |(2π × 10.6 m)| × 0.6 m

                       = 39.77 m² (rounded to two decimal places)

Therefore, the area of the circle is approximately 352.77 m² ± 39.77 m².

(b) Circumference of the Circle: To calculate the circumference, we'll substitute the given value of the radius into the formula and calculate the circumference.

C = 2πr

  = 2π(10.6 m)

  ≈ 66.77 m (rounded to two decimal places)

To determine the uncertainty in the circumference, we'll again use the formula for propagated uncertainty:

Uncertainty in C = |(∂C/∂r)| × Uncertainty in r

Where (∂C/∂r) is the partial derivative of C with respect to r.

∂C/∂r = 2π

Substituting the values:

Uncertainty in C = |2π| × Uncertainty in r

                      = 2π × 0.6 m

                      ≈ 3.77 m (rounded to two decimal places)

Therefore, the circumference of the circle is approximately 66.77 m ± 3.77 m.

Learn more about circumference here: https://brainly.com/question/28757341

Answer: A, i think -_-

Answer:

180

Step-by-step explanation:

Answer:

a.

\(f(t) = 21000( {.918}^{t} )\)

b.

\(f(4) = 21000( {.918}^{4}) = 14913.86\)

Answer:

64.5 in²

Explanation:

\(\sf area \ of \ trapezoid = \dfrac{1}{2} * ( a + b) *h\)

Solve for the entire trapezoid:

\(\hookrightarrow \sf \dfrac{1}{2} * ( 6.5 +(9.8+5.2+6.5) ) *8.6\)

\(\hookrightarrow \sf 120.4 \ in^2\)

Solve for the unshaded rectangle:

Area of the shaded region:

Answer:

Question 2 :  
\(\boxed{-35}\)

Question 3:
\(\boxed{7}\)

Question 4:
\(\boxed{-5}\)

Question 5:
\(\boxed{-5}\)

Step-by-step explanation:

The easiest points to take on the line are those where x =0, y = 35 (0,35) and x = 7, y =0 (7,0)

Question 2.
We can see that between these two points, the y value decreases linearly from 35 to 0. So the rise between (0, 35) and (7,0) = \(0 -35 = -35\)

Question 3

\(\textrm{Between (0, 35) and (7,0) the x value increases from 0 to 7 so the run is 7}\)

Question 4

\(\dfrac{rise}{run}= \dfrac{-35}{7}= -5}\)

Question 5

Slope is the same as rise over run

We can also write this as
\(\dfrac{0-35}{7-0} = \dfrac{-35}{7} = -5\)

Though not asked for, the equation of the line is
\(y = -5x + 35\)

Answer: 5 : 3

Step-by-step explanation:

The ratio of shirts to pants can be shown by putting the number if shirts and pants in the following manner:

Number of shirts       :        Number of pants

20                               :                   12

Then you have to take this to the lowest term. 4 is a factor of both numbers so when divided by 4 we get:

= 5 : 3

This is the ratio.

The solution to the initial value problem is y(x) = -4 * e^(3x) - 4 * e^(5x).

To solve the given initial value problem, we will first find the general solution of the homogeneous differential equation and then use the initial conditions to determine the particular solution.

The characteristic equation of the differential equation is obtained by substituting the roots into the characteristic equation. The roots provided are 3 and 5.

The characteristic equation is:

(r - 3)(r - 5) = 0

Expanding and simplifying, we get:

r^2 - 8r + 15 = 0

The roots of this characteristic equation are 3 and 5.

Therefore, the general solution of the homogeneous differential equation is:

y_h(x) = C1 * e^(3x) + C2 * e^(5x)

Now, let's find the particular solution using the initial conditions.

Given:

y(0) = -4

y'(0) = 6

y''(0) = -6

To find the particular solution, we need to differentiate the general solution successively.

Differentiating y_h(x) once:

y'_h(x) = 3C1 * e^(3x) + 5C2 * e^(5x)

Differentiating y_h(x) twice:

y''_h(x) = 9C1 * e^(3x) + 25C2 * e^(5x)

Now we substitute the initial conditions into these equations:

1. y(0) = -4:

C1 + C2 = -4

2. y'(0) = 6:

3C1 + 5C2 = 6

3. y''(0) = -6:

9C1 + 25C2 = -6

We have a system of linear equations that can be solved to find the values of C1 and C2.

Solving the system of equations, we find:

C1 = -2

C2 = -2

Therefore, the particular solution of the differential equation is:

y_p(x) = -2 * e^(3x) - 2 * e^(5x)

The general solution of the differential equation is the sum of the homogeneous and particular solutions:

y(x) = y_h(x) + y_p(x)

     = C1 * e^(3x) + C2 * e^(5x) - 2 * e^(3x) - 2 * e^(5x)

     = (-2 + C1) * e^(3x) + (-2 + C2) * e^(5x)

Substituting the values of C1 and C2, we get:

y(x) = (-2 - 2) * e^(3x) + (-2 - 2) * e^(5x)

     = -4 * e^(3x) - 4 * e^(5x)

Therefore, the solution to the initial value problem is:

y(x) = -4 * e^(3x) - 4 * e^(5x)

Learn more about homogeneous

brainly.com/question/32618717

#SPJ11

Answer:

d+6 over -2=5

cross multiply...

The area bounded by the two functions f(x) = −x2 4x 2 and g(x) = −2x is =64 unit

To find the area bounded by the two functions f(x) = −x2 + 4x + 2 and g(x) = −2x + 10, we must first determine where the two functions intersect.

To do this, we set the two functions equal to each other and solve for x:

−x2 + 4x + 2 = −2x + 10
−x2 − 2x + 8 = 0
(x − 4)(x − 2) = 0
x = 4, x = 2

Now, we can calculate the area of the bounded region between f(x) and g(x):

Area = ∫24(g(x) − f(x)) dx

Area = ∫24(−2x + 10 − (−x2 + 4x + 2)) dx

Area = ∫24(x2 − 2x + 8) dx

Area = [x3/3 − x2/2 + 8x]24

Area = (64/3) − (32/2) + (64) = 64

Therefore, the area bounded by the two functions is 64.

To know more about functions refer here:

https://brainly.com/question/1574265

#SPJ11