Suppose that you are headed toward a plateau 40 m high. If the angle of elevation to the top of the plateau is 20 degrees​, how far are you from the base of the​ plateau?

The value is closest to the predicted value of the response variable for x=4.8 is 1.26

The question requires you to substitute the value of x=4.8 in the least-squares regression line

The equation given is log (y)= 7.3 - 1.5x

Replacing x with real value, 4.8 you will have;

log(y) = 7.3 - 1.5(4.8)

log(y)= 7.3-7.2

log(y)=0.1

y=10^0.1

y=1.258

The dependent variables on the y-axis and the independent variables on the x-axis are shown as a linear connection by a regression line. By examining the data pattern the variables' effects have created, the correlation is established. In a regression graph, the regression line that is closest to the data points is shown.

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Complete question is :

An exponential relationship exists between the explanatory variable and the response variable in a set of data. The common logarithm of each value of the response variable is taken, and the least-squares regression line has an equation of log(yˆ)=7.3−1.5xlog⁡(y^)=7.3−1.5x. Which value is closest to the predicted value of the response variable for x=4.8x=4.8 ?

Answer: 140 mph

Step-by-step explanation:

3 1/2+40=140 mph

The number of miles traveled in 3(1/2) hours is 140 miles.

We have,

Speed is the ratio of the given distance and time.

It shows how fast an object is moving at a given time.

The formula of speed is used.

Speed = Distance / Time

From the given statement, make an expression.

1 hour = 40 miles

Multiply 3(1/2) on both sides.

3(1/2) hours = 3(1/2) x 40 miles

Simplify the mix fraction.

3(1/2) hours = 7/2 x 40 miles

Simplify the fraction.

3(1/2) hours = 7 x 20 miles

3(1/2) hours = 140 miles

Thus,

The number of miles traveled in 3(1/2) hours is 140 miles.

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The points at which the curve has a vertical tangent are:

(x,y) = (3cos(kπ), 3sin(2kπ)), for k = 0, ±1, ±2, …

We need to find the values of t for which the tangent to the curve is vertical, i.e., the derivative of y with respect to x is undefined or infinite.

We have x(t) = 3cos(t) and y(t) = 3sin(2t). Using the chain rule, we get:

dx/dt = -3sin(t)

dy/dt = 6cos(2t)

The tangent to the curve at a point (x,y) is given by dy/dx = (dy/dt)/(dx/dt). Therefore,

dy/dx = (dy/dt)/(dx/dt) = (6cos(2t))/(-3sin(t)) = -2cot(t)cos(2t)

The tangent is vertical when dy/dx is undefined or infinite, which occurs when cot(t) = 0, i.e., when t = kπ, where k is an integer. At these values of t, cos(2t) = 1, so dy/dx = -2.

Therefore, the points at which the curve has a vertical tangent are:

(x,y) = (3cos(kπ), 3sin(2kπ)), for k = 0, ±1, ±2, …

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do 20 x 3.14 and then youll have your anwser...id use a calculator btw

Then round it to the nearest whole number and BOOM anwser!!

i got 62.8 so round that and youll have ur anwser

The graph is attached below.

To graph the rational function f(x) = 8/(x-2), follow these steps:

The resulting graph should have a vertical asymptote at x=2, a horizontal asymptote at y=0, and crosses the x-axis at x=2 and the y-axis at y=-4. The graph is decreasing from negative infinity to x=2, and increasing from x=2 to positive infinity.

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Answer: Red ribbon.

Step-by-step explanation:

When it comes to fractions, if all the fractions being compared have the same numerator, the fraction with the smallest denominator is the largest.

In this question, all the fractions have a numerator of 1 so the longest one will be the one with the smallest denominator which is 1/3. The red ribbon is the longest.

Another way is to convert them to percentages:

1/6 * 100% = 16.7%

1/3 * 100% = 33.3%

1/4 * 100% = 25%

Red ribbon is again the largest.

Answer: no, because you are subtracting the 3 rather than adding

Step-by-step explanation:

twins= x + x

brother= x-3

equation =2x + (x-3)

The correct statement is: "The domains of g(x) and f(x) are the same, but their ranges are not the same."

The statement "The domains of g(x) and f(x) are not the same, and their ranges are also not the same" is correct. In general, when considering functions g(x) and f(x) derived from a parent function, the transformations applied to the parent function can affect both the domain and the range. The domain of a function refers to the set of all possible input values, while the range represents the set of all possible output values. Through transformations such as shifts, stretches, compressions, or reflections, the domain and range of a function can be altered. Therefore, it is possible for the domains and ranges of g(x) and f(x) to differ from each other and from the parent function.

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To find all points with a specific x-coordinate, you need to have the equation of the curve or the data points representing the graph. If you have an equation, you can substitute the desired x-coordinate into the equation and solve for the corresponding y-coordinate.

If you have data points, you can look for the points that have the specified x-coordinate.

For example, let's say you have the equation of a line: y = 2x + 3. If you want to find all points with an x-coordinate of 5, you can substitute x = 5 into the equation to find y. In this case, y = 2(5) + 3 = 13. So the point (5, 13) has an x-coordinate of 5.

to find points with a specific x-coordinate, you need the equation of the curve or the data points. You can substitute the desired x-coordinate into the equation or look for the points that have the specified x-coordinate in the given data.

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Answer:

I think is also 35 degrees because it's a paralleogram

Step-by-step explanation:

The probability that the sum of the two numbers selected will be greater than 10 is 3/15, which simplifies to 1/5 or 0.2.

To find the probability that the sum of the two numbers selected from the set (2, 3, 5, 9, 10, 12) is greater than 10, we need to consider all the possible pairs and determine the favorable outcomes.

There are a total of 6 choose 2 (6C2) = 15 possible pairs that can be formed from the set.

Favorable outcomes:

(9, 10)

(9, 12)

(10, 12)

Therefore, there are 3 favorable outcomes out of 15 possible pairs.

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Answer: x = -t/(a+t+r)

Step-by-step explanation:

We can solve for x by isolating it on one side of the equation:

-a x = x r + t

Subtracting x r from both sides, we get:

-a x - x r = t

Factoring out x on the left-hand side, we get:

x (-a - r) = t

Dividing both sides by (-a - r), we get:

x = t / (-a - r)

Multiplying the numerator and denominator of the right-hand side by -1, we get:

x = -t / (a + r + t)

Therefore, the value of x is -t / (a + r + t).

#1

\(\\ \sf\longmapsto (1+cosx)(1-cosx)\)

\(\\ \sf\longmapsto 1-cos^2x\)

\(\\ \sf\longmapsto sin^2x\)

#2

\(\\ \sf\longmapsto \dfrac{1}{cot^2x}-\dfrac{1}{cos^2x}\)

\(\\ \sf\longmapsto tan^2x-sec^2x\)

\(\\ \sf\longmapsto 1\)

The simplified form of each of th given Trigonometric expressions is given below.

Given are the trigonometric expressions.

{1} -

{1 + cos(x)}{1 - cos(x)}

{1² - cos²(x)}

sin²x

{2} -

{1/cot²(x) - 1/cos²(x)}

{sin²(x)/cos²(x) - 1/cos²(x)}

{sin²(x) - 1}/{cos²(x)}

{- cos²(x)/cos²(x)}

- 1

{3} -

sec²(π/2 - x){sin²(x) - sin⁴(x)}

sin²(x) {1 - sin²(x)} {1/cos²(π/2 - x)}

sin²(x) cos²(x) × 1/sin²(x)

cos²(x)

Therefore, the simplified form of each of th given Trigonometric expressions is given above.

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Answer:

B. 53.1 cm³

Explanation:

\(\sf volume \ of \ cone: \dfrac{1}{3} \pi r^2h \ \ \ \ (r \ is \ radius, \ h \ is \ height)\)

Here Given:

height: 11.5 cm

diameter: 4.2 cm

radius: d/2 = 4.2/2 = 2.1

Volume:

\(\sf \cdot \ \dfrac{1}{3} \pi r^2h\)

\(\sf \cdot \ \dfrac{1}{3} (3.14) (2.1)^2(11.5)\)

\(\sf \cdot \ 53.11 \ cm^3\) ≈ \(\sf 53.1 \ (rounded \ to \ nearest \ tenth)\)

Answer:

I will answer you

Step-by-step explanation:

D is correct

To determine the number of tons of metal per year needed for Machine A to be favored over Machine B, we compare their costs. Machine A costs $323,000 with an annual operating cost of $2.40/ton, while Machine B costs $178,000 with an annual operating cost of $8.00/ton. The machines have useful lives of 10 years and 6 years, respectively, and the minimum attractive rate of return (MARR) is 18% per year.

By calculating the equivalent annual costs (EAC) for each machine using the given formula and comparing them, we can determine the point at which Machine A becomes more favorable. However, specific values for the discounting factors and the tons per year needed are missing, making it impossible to provide an exact answer.

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Mary's Tuesday distance is 1/8 times her Monday distance

On Monday Mary ran 1 3/5 miles

= 8/5

On Tuesday Mary ran 1/5 miles

Therefore the number of times her Tuesday distance was her Monday distance can be calculated as follows

1/5 ÷ 8/5

= 1/5 ×5/8

= 1/8

Hence her Tuesday distance was 1/8 times her Monday distance

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Answer:

18 *0.5*5=45

Step-by-step explanation:

Area of triangle is: 0.5 * base * height

Answer:

My dog getting smacked allot by my cat ( my cat was bullying my dog all day XD) 1 thanks = one less smack for the dog lol

Step-by-step explanation:

Me kat (cat) was mewing all day. Me go to market to buy his favourite food (fish).Me comes home. Me takes time to prepare fish. Me gives kat fish. He throw away fish and insult me with some more mews

Answer:

Answer is 7:20

It's basically asking "what is the ratio of math teachers to total teachers?" assuming there are only math and science teachers at this school. For the sake of simplicity, let's just go with that. We have 14 math teachers and 14+26 = 40 teachers total. The ratio of math to total is 14:40 which reduces to 7:20 when we divide both parts of the ratio by the GCF 2.

Step-by-step explanation:

Answer:

the ratio is

14:26

but you can leave the answer like this the two numbers can be divided by 2 so

14/2=7 and 26/2=13

then the answer is 7:13.

(a) The firm's output supply function is given by q = (p + 199) / 2.

(b) The market-equilibrium price is $32.56, and the equilibrium number of firms is 10.

(c) Each firm sells 70 computers in the long run.

(39 - 0.009q) = (2q - 2) / q

Simplifying the equation, we find:

q = (p + 199) / 2

This represents the firm's output supply function.

p = 39 - 0.009((p + 199) / 2)

Simplifying and solving for p, we get:

p ≈ $32.56

Substituting this price back into the output supply function, we find:

q = (32.56 + 199) / 2 ≈ 115.78

Given that each firm produces 70 computers in the long run, we can calculate the equilibrium number of firms:

Number of firms = q / 70 ≈ 10

70 * 10 = 700

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The population decreased by 5,400 people from 2015 to 2020.

Also known as population decline, means the reduction in a human population size

Population in 2015 = Population in 2010 + Growth from 2010 to 2015

Population in 2015 = 167,000 + (8% of 167,000)

Population in 2015 = 167,000 + 13,360

Population in 2015 = 180,360

Population in 2020 = Population in 2015 - Decrease from 2015 to 2020

Population in 2020 = 180,360 - (3% of 180,360)

Population in 2020 = 180,360 - 5,411.8

Population in 2020 = 174,948.2

The population decrease from 2015 to 2020 is:

= Population in 2015 - Population in 2020

= 180,360 - 174,948.2

= 5,411.8

= 5,400 to nearest 100 people.

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The upper bound of the prediction interval is approximately 41.1.

The upper bound of a prediction interval in a linear regression model can be calculated by adding the product of the critical value (\(\frac{t\alpha }{2}\)) and the standard error (SE) to the fitted value (y). The critical value represents the desired level of confidence, such as 95%, and the standard error quantifies the variability of the model. By combining these components, the upper bound of the prediction interval provides a range within which a new observation is likely to fall, accounting for the uncertainty associated with the regression model.

To find the upper bound of the prediction interval, we can use the formula:

\(Upper Bound = y +(\frac{t\alpha }{2})* SE\)

where y is the fitted value at x = 6, t\(\alpha\)/2 is the critical value for a 95% confidence level (with degrees of freedom n - 2), and SE is the standard error.

Given information:

SSE = 552

n = 21

sx = 27.45

\(\bar x\) = 9

y = 29.82

To calculate the standard error (SE) using the formula:

\(SE = \sqrt\frac{SSE}{ (n - 2)}\)

\(SE = \sqrt\frac{552}{(21 - 2)}\)

\(SE = \sqrt\frac{552}{ 19}\)

SE ≈ 5.39

To find the critical value t\(\alpha\)/2 for a 95% confidence level with degrees of freedom (n - 2). Since n = 21, degrees of freedom = 21 - 2 = 19.

Using statistical tables or a calculator, the tα/2 value for a 95% confidence level with 19 degrees of freedom is approximately 2.093.

Now, we can calculate the upper bound of the prediction interval:

\(Upper Bound = y + \frac{t\alpha }{2} * SE\)

Upper Bound = 29.82 + (2.093 *5.39)

Calculating:

Upper Bound ≈ 29.82 + 11.28

Upper Bound ≈ 41.1

Therefore, the upper bound of the prediction interval, rounded to two decimal places, is approximately 41.1

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Work Shown:

k = scale factor

k = (OF ')/(OF)

k = (OF ')/(OF ' + F ' F)

k = (3)/(3 + 10)

k = 3/13

The scale factor of the dilation of triangle DEF is 3/10.

The technique of dilation is used to enlarge or reduce the size of the things. This transformation produces an image that resembles the original shape and is identical to the image.

We have a triangle DEF is dilated to smaller triangle D'E'F' .

As, the length of OF' =  3 and F'F = 7.

So, the scale factor of dilation is

OF' / OF = 3 / 10.

Thus, the scale factor is 3/10.

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Answer:

n = 113°

Step-by-step explanation:

⭐What is an isosceles triangle?

⭐What is the exterior angles theorem?

In this case, n is the exterior angle, because it is outside of the triangle.

The 46° is opposite of n.

Thus, we need to find the left base angle, because it is opposite of n, and use the exterior angles theorem to find n.

Knowing that the triangle is an isosceles triangle, we can make an equation to find the base angles.

The internal angles of a triangle sum to 180°. Let the base angles = x.

\(46 + x + x = 180\)

\(46 + 2x = 180\)

\(2x = 134\)

Solving for one base angle:

\(x = 67\)

∴ The left base angle is 67°

Now, apply the exterior angles theorem knowing the two angles opposite of n.

\(n = 46 + 67\)

\(n = 113\)

∴ n = 113°

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