a park ranger manages a rectangular area of a forest. the width of the forest area is 6 miles, and length is 4 miles. how many miles of forest does the park ranger manage?​

Answer:

3\(\sqrt{5}\)

Step-by-step explanation:

Calculate the distance d using the distance formula

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = (5, 4) and (x₂, y₂ ) = (- 1, 1)

d = \(\sqrt{(-1-5)^2+(1-4)^2}\)

   = \(\sqrt{(-6)^2+(-3)^2}\)

   = \(\sqrt{36+9}\)

   = \(\sqrt{45}\)

   = 3\(\sqrt{5}\) ← exact value

   ≈ 6.71 ( to 2 dec. places )

Answer:

x= 130 degrees

Step-by-step explanation:

Answer:

Brainliest???

Step-by-step explanation:

Answer:

 525o • (2x - 1)

Step-by-step explanation:

Answer:

Domain would be x ≥ -3.

So enter -3.

Step-by-step explanation:

This is a parabola with line of symmetry x = -3.

When x has values like  say -4 and -2,  f(x)  will have a value of 1 making the function many to one.

So,  to make it one to one, x would have to be equal or greater than -3.

A function assigns values. The limit of the domain to make this function one to one is x≥3.

A function assigns the value of each element of one set to the other specific element of another set.

A one to one function is a function whose every input gives a distinct output. Now given the function is a quadratic function, therefore, the function will have the same output for multiple inputs.

Since the symmetrical axis for this function lies at x=-3, therefore, for the function to be one to one the domain of the function must be greater than or equal to 6.

Hence, the limit of the domain to make this function one to one is x≥3.

Learn more about Function:

https://brainly.com/question/5245372

#SPJ2

Answer:

x = 50

Step-by-step explanation:

I hope this helps!

Answer:

0.02

Step-by-step explanation:

The ordered pair of the inequality will be (9,-3).

The inequality expressions are the mathematical equations related by each other by using the signs of greater than or less than. All the variables and numbers can be used to make the equation of inequality.

Given that inequality is given as y ≤ 1/3x−6.

The ordered pair can be calculated as:-

y ≤ 1/3x−6

Substitute the value of x equal to 9 and get the value of y,

y ≤ 1/3(9) - 6

y ≤ 3 - 6

y ≤ -3

Hence, the ordered pair will be (9,-3).

To know more about inequality follow

https://brainly.com/question/24372553

#SPJ9

Answer:

DPB

Step-by-step explanation:

Verticle angles are congruent

m∠APC = m∠DPB

The inequality 54x/64 ≥ 49x/59 simplifies to x ≥ 0. Thus, the solution for x is greater than or equal to zero.

To solve the inequality 54x/64 ≥ 49x/59, we can begin by cross-multiplying:

(54x)(59) ≥ (49x)(64)

3186x ≥ 3136x

Next, we can subtract 3136x from both sides:

3186x - 3136x ≥ 0

50x ≥ 0

Finally, we divide both sides by 50:

x ≥ 0/50

x ≥ 0

Therefore, the solution to the inequality is x ≥ 0.

To learn more about inequality visit:

https://brainly.com/question/30238989

#SPJ11

Answer:

it would be 748 feet, sorry if im worng!

Answer:

First, we can multiply both sides of the equation by the absolute value of x plus 8, to get rid of the fraction:

52 = 4(|x| + 8)

Now we can solve for the absolute value of x:

| x | + 8 = 13

| x | = 5

This means that x could be either positive 5 or negative 5. Therefore, the possible values of x are {-5, 5}.

So the answer is option D: {-5, 5}.

Answer:

2 is ur answer.

hope it helps you.

According to the following table, the same constant of proportionality between yyy and xxx in the relation y=8x is.

The proportionality constant k is defined as k=y/x when y and x are two numbers that are directly proportional to one another. If you are aware of the proportionality constant, you can use the equation y=kx, where k is the proportionality constant you are interested in, to determine the direct link between x and y. As an example, we may write y = kx, where k is the proportionality constant, x is the quantity of gas in gallons, and y is the cost in dollars. In other words, the cost is directly related to the number of gallons pumped.

By calculating

32=4*8

56=7*8

64=8*8

Therefore, y=8x.

Learn more about constant of proportionality here

https://brainly.com/question/28413384

#SPJ4

Step-by-step explanation:

L * M = 452,199

L * (M + 1) = 454,322

Therefore L * (M + 1) = L * M + L.

=> 454,322 = 452,199 + L, L = 2,123.

Hence L² = 2,123² = 4,507,129.

The pick-up rate in this scenario would be 80%. This is calculated by dividing the number of rooms occupied (160) by the number of rooms reserved (200), and then multiplying by 100 to get a percentage. So, (160/200) x 100 = 80%. This means that 80% of the reserved rooms were ultimately occupied.

It's important to note that a pick-up rate of 80% is generally considered to be a good result in the hospitality industry. It indicates that the hotel was able to accurately predict the number of rooms that would be needed by the groups, and that the groups themselves followed through on their reservations. A lower pick-up rate could suggest that the hotel overestimated demand, or that some of the groups cancelled their bookings at the last minute. On the other hand, a higher pick-up rate could indicate that the hotel was too conservative in its initial estimates, or that some of the groups requested additional rooms after the initial reservation was made. Ultimately, the pick-up rate is a useful metric for assessing the accuracy of a hotel's forecasting and planning processes.

Learn more about pick-up here:

https://brainly.com/question/29144529

#SPJ11

If the value stated by a null hypothesis is within the confidence interval, then the decision would have likely been to retain the null hypothesis.

In hypothesis testing, the null hypothesis represents the default assumption or the claim that there is no significant difference or relationship between variables. The confidence interval, on the other hand, provides a range of plausible values for the population parameter based on sample data. If the value stated by the null hypothesis falls within the confidence interval, it means that the null hypothesis value is considered plausible or consistent with the observed data.

In this case, there is insufficient evidence to reject the null hypothesis, and the decision would be to retain it. On the other hand, if the null hypothesis value is outside the confidence interval, it suggests that the null hypothesis is unlikely, and the decision would be to reject it in favor of an alternative hypothesis.

To learn more about null hypothesis click here: brainly.com/question/30821298
#SPJ11

Answer: The length of the room on blueprint = 10 feet.

Step-by-step explanation:

Given: On blueprint,

\(\dfrac14\) inch = 2 feet

i.e. 1 actual feet = \(2\times\dfrac 14 =\dfrac12\text{ inch}\)

If the actual length of 20 feet, the length of a room on blueprint = \(20\times\dfrac12\text{ feet}\)

= 10 feet.

Hence, the length of the room on blueprint = 10 feet.

Answer:

Thus option B is correct...hope this helps:)

Given the angle:

253 degrees

Let's find the reference angle to the given angle for a rotation.

The given angle, 253 degrees, is in quadrant 3.

To find the reference angle of ang angle in quadrant 3, we have:

Hence, we have:

Therefore, the reference angle is 73 degrees.

ANSWER:

73°

Since the exponential function is always positive, there is no solution for e^(-2t) = -1/6. This means that the derivative is never equal to zero, and there is no point of maximum steepness for this curve.

To find the point at which the curve is steepest, we need to find the maximum value of the derivative of the function. Let's start by finding the derivative of the given function:

y = 50 / (1 + 6e^(-2t))

To find the derivative, we can use the quotient rule:

y' = [50(0) - (1 + 6e^(-2t))(-12e^(-2t))]/(1 + 6e^(-2t))^2

Simplifying this expression, we get:

y' = (72e^(-2t))/(1 + 6e^(-2t))^2

To find the maximum point, we need to find the value of t for which the derivative is equal to 0. Setting y' = 0 and solving for t, we have:

(72e^(-2t))/(1 + 6e^(-2t))^2 = 0

Since the numerator cannot be zero, we focus on the denominator:

(1 + 6e^(-2t))^2 = 0

Taking the square root of both sides, we get:

1 + 6e^(-2t) = 0

Solving for e^(-2t), we have:

e^(-2t) = -1/6

Learn more about exponential function visit:

brainly.com/question/28596571

#SPJ11

The 95% confidence interval for the average temperature at which this balloon will be in a steady-state equilibrium is (95.78°C, 98.22°C).

The 95% confidence interval (CI) for the mean temperature in the crown of the balloon is calculated as follows. We first assume that the population distribution is normal with a standard deviation (SD) of σ = 6°C as per the given data. We will then use the z-distribution to calculate the required confidence interval.

The formula for calculating the 95% confidence interval is given by

CI (mean) = x ± z × (σ/√n)

Where 'x' is the mean, 'z' is the z-score associated with the 95% CI, 'σ' is the standard deviation, and 'n' is the number of samples taken.

For the given data the confidence interval is calculated as:

CI (Mean) = 97 ± 1.96 × (6/√59)

CI (Mean) = 97 ± 1.22

Therefore, the 95% confidence interval for the average temperature at which this balloon will be in a steady-state equilibrium is (95.78°C, 98.22°C).

To learn more about the confidence interval visit:

https://brainly.com/question/14041846.

#SPJ4

Number of Americans that had plans to travel to the United States Midwest = 16.18 millions

Total number of Americans that had plans to travel during the 2019 holiday season = 115.6 millions

Percentage of Americans that had plans to travel to the United States Midwest = 14%

Number of Americans that had plans to travel to the United States Midwest = (14/100) x 115.6 millions

Number of Americans that had plans to travel to the United States Midwest = 0.14 x 115.6 millions

Number of Americans that had plans to travel to the United States Midwest = 16.18 millions

The speed at which the Moon's shadow moves across the Earth's surface near the equator during a solar eclipse is about 1,730 km/h. This can be calculated by taking the difference between the speed of the Moon's orbital motion (3,400 km/h) and the speed of the Earth's rotation at that point (1,670 km/h). the shadow moves at a speed of 1,730 km/h across the equatorial region of Earth's surface during a solar eclipse.

We need to consider the relative motion between the Moon's shadow and the Earth's surface. The Moon's shadow moves across the Earth's surface at the speed of the Moon's orbital motion, which is about 3,400 km/h. However, since the Earth is also rotating on its axis, the actual speed at which the shadow moves across a particular point on the Earth's surface is the difference between the speed of the Moon's shadow and the speed of the Earth's rotation at that point.

Near the equator, the speed of the Earth's rotation is about 1,670 km/h. Therefore, the speed at which the Moon's shadow moves across the surface of the Earth near the equator is the difference between 3,400 km/h and 1,670 km/h, which is approximately 1,730 km/h. The Moon's shadow moves from west to east at a speed of 3,400 km/h during a solar eclipse. This is the speed at which the Moon travels in its orbit. Earth rotates from west to east at a speed of 1,670 km/h near the equator. This means that, as the Moon's shadow is moving across Earth's surface, the Earth is also rotating in the same direction.

To know more about surface visit:-

https://brainly.com/question/31178158

#SPJ11

The solution is y = -22/3 of the system of equations.

Now, According to the question:

Linear equations in two variables are the algebraic equations which are of the form y = mx + b, where m is the slope and b is the y-intercept.

They are the equations of the first order.

Given, y = (2/3)x + 3x

x = -2

We have to find the solution to the given system of equations.

Put x = -2 to find the value of y

y = (2/3)(-2) + 3(-2)

By further calculation

= (-4/3) - 6

By taking LCM

= (-4 - 18)/3

So we get

= -22/3

Therefore, the solution is y = -22/3

Learn more about Linear Equation at:

https://brainly.com/question/29739212

#SPJ4

The complete question is this:

What is the solution to the system of equations? y = 2/3 x + 3x, x = -2

Answer:

27.6

Step-by-step explanation:

sin29=x/57

0.48480962=x/57

x≈27.6

We have the inequality:

-4 < (3x - 2)/5 ≤ 6

We multiply all the sides by 5:

-4*5 < 5*(3x - 2)/5 ≤ 6*5

-20 < 3x - 2 ≤ 30

Now, we add 2 to all the sides of the inequality:

-20 + 2 < 3x - 2 + 2 ≤ 30 + 2

-18 < 3x ≤ 32

Finally, we divide by 3:

-18/3 < 3x/3 ≤ 32/3

-6 < x < 32/3

Now, using interval notation:

x = (-6, 32/3]

This means that x takes all the values greater than -6 and less or equal to 32/3. Graphically, this is:

The true statements are:

The equation of the function is given as:

\(y = (2.25)^x\)

An exponential function is represented as:

\(y = ab^x\)

This means that, the equation \(y = (2.25)^x\) represents an exponential function, and not a quadratic function

The output values of an exponential function will never be negative, and the graph will never cross the x-axis

Hence, the true statements are (d) and (e)

Read more about exponential functions at:

https://brainly.com/question/11464095

Angle b = 31

b=8

c=13

not 100% sure

Graphing the equation 3x - 2y = -6 over the range x = -10 to x = 10:

To graph the equation 3x - 2y = -6, we need to rearrange it in the form y = mx + b, where m is the slope and b is the y-intercept.

3x - 2y = -6

-2y = -3x - 6

Divide both sides by -2:

y = (3/2)x + 3

Now we have the equation in slope-intercept form.

To graph the equation, we can plot a few points and draw a line through them. Let's choose some x-values from the range -10 to 10 and find the corresponding y-values.

For x = -10:

y = (3/2)(-10) + 3

y = -15 + 3

y = -12

For x = 0:

y = (3/2)(0) + 3

y = 0 + 3

y = 3

For x = 10:

y = (3/2)(10) + 3

y = 15 + 3

y = 18

Plotting these points (-10, -12), (0, 3), and (10, 18) on the graph and drawing a line through them, we get the graph of the equation 3x - 2y = -6.

Using the graphical method to solve the pair of equations:

The given equations are:

10x = 5y

-3x + y = 1

To solve these equations graphically, we need to plot their graphs on the same coordinate plane and find the point where they intersect, which represents the solution.

Rearranging the second equation in slope-intercept form:

y = 3x + 1

Now we have the equations in the form y = mx + b.

Plotting the graphs of the equations 10x = 5y and y = 3x + 1, we can find the point of intersection, which represents the solution to the system of equations.

The point of intersection is the solution to the system of equations.

To know more about equations, visit :

brainly.com/question/12788590

#SPJ11

..i think it should be _5

Step-by-step explanation:

this is the correct answer