its multiple choice so its easier please help me! helppp

Answer:

5 miles

Step-by-step explanation:

We will use the method of cross multiplying and dividing.

You will multiply 60 x 3

Then, take the answer (180) and divide it by 36.

That will give you 5 and your answer.

The limit of the given expression as x approaches 1 from the right is 1.8.

To evaluate the limit of the given expression:

\(lim_{x - > 1} + [ln(x ^ 9 - 1) - ln(x ^ 5 - 1)]\)

We can start by directly substituting x = 1 into the expression:

[ln(1⁹ - 1) - ln(1⁵ - 1)]

= [ln(0) - ln(0)]

However, ln(0) is undefined, so this approach doesn't provide a meaningful answer.

To apply L'Hôpital's Rule, we need to rewrite the expression as a fraction and differentiate the numerator and denominator separately. Let's proceed with this approach:

\(lim_{x - > 1}\)+ [ln(x⁹ - 1) - ln(x⁵ - 1)]

= \(lim_{x - > 1}\)+ [ln((x⁹ - 1)/(x⁵ - 1))]

Now, we can differentiate the numerator and denominator with respect to x:

Numerator:

d/dx[(x⁹ - 1)] = 9x⁸

Denominator:

d/dx[(x⁵ - 1)] = 5x⁴

Taking the limit again:

\(lim_{x - > 1}\)+ [9x⁸ / 5x⁴]

= \(lim_{x - > 1}\)+ (9/5) * (x⁸ / x⁴)

= (9/5) * \(lim_{x - > 1}\)+ (x⁸ / x⁴)

Now, we can substitute x = 1 into the expression:

(9/5) * \(lim_{x - > 1}\)+ (1⁸ / 1⁴)

= (9/5) * \(lim_{x - > 1}\)+ 1

= (9/5) * 1

= 9/5

= 1.8

The complete question is:

Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using it. \(lim_{x - > 1} + [ln(x ^ 9 - 1) - ln(x ^ 5 - 1)]\)

To know more about limit:

https://brainly.com/question/12211820

#SPJ4

After approximately 12.13 years, the revenue of this firm is going to drop to $1 million.

The value of shares t years after their floatation on the stock market, is modelled by V = 10e0.09t

The initial value of shares = V when t = 0. So, putting t = 0 in V = 10e0.09t,

we get

V = 10e0.09 × 0= 10e0 = 10 × 1 = 10 million dollars.

The values after 5 years, 10 years and 12 years, respectively are:

For t = 5, V = 10e0.09 × 5 ≈ 19.65 million dollarsFor t = 10, V = 10e0.09 × 10 ≈ 38.43 million dollarsFor t = 12, V = 10e0.09 × 12 ≈ 47.43 million dollars

The total revenue (TR) in t years' time is modelled as TR = 10e−0.19t (in million dollars)

The current revenue is the total revenue when t = 0.

So, putting t = 0 in TR = 10e−0.19t, we get

TR = 10e−0.19 × 0= 10e0= 10 million dollars

Revenue in 5 years' time is TR when t = 5.

So, putting t = 5 in TR = 10e−0.19t, we get

TR = 10e−0.19 × 5≈ 4.35 million dollars

To find when the revenue of this firm is going to drop to $1 million, we need to solve the equation TR = 1.

Substituting TR = 1 in TR = 10e−0.19t, we get1 = 10e−0.19t⟹ e−0.19t= 0.1

Taking natural logarithm on both sides, we get−0.19t = ln 0.1 = −2.303

Therefore, t = 2.303 ÷ 0.19 ≈ 12.13 years.

So, after approximately 12.13 years, the revenue of this firm is going to drop to $1 million.

Know more about revenue:

https://brainly.com/question/27325673

#SPJ11

no se ingles xd asi que la verdad sorry aun que dime si es potensiacion

According to the given information, the sample period should be from 2010-2020.

a) Model specification

The model specification based on the scenario above is as follows:

SDF= f(T, TI, NL)

Where: SDF= Sustainable Development Framework

T= Tourism

TI= Technological innovation

NL= National leadership

b) Justification for the selection of the dependent and independent variables model:

Dependent variable: The dependent variable in this model is Sustainable Development Framework (SDF). The model seeks to develop a framework for sustainable development that would facilitate growth, environmental and socio-cultural sustainability.

Independent variables:

The independent variables are tourism sustainability, technological innovation, and quality of leadership. These variables drive economic development. The inclusion of tourism sustainability reflects its importance in the global economy and its potential to drive growth.

The inclusion of technological innovation reflects its potential to enhance productivity and create new industries. The inclusion of national leadership reflects the role of governance in promoting sustainable development and managing negative externalities.

c) Justification for the selection of the sample period:

The sample period should be selected based on the availability of data for the variables of interest. Ideally, the period should be long enough to capture trends and patterns in the data. However, it should not be too long that the data becomes obsolete or no longer relevant.

Additionally, the period should also reflect the context and relevance of the research question. Therefore, the sample period for this study should cover the last decade to capture the trends and patterns in the data and reflect the relevance of the research question.

The sample period should be from 2010-2020.

To know more about Model specification, visit:

https://brainly.com/question/13326948?

#SPJ11

The x-intercept of the function f is greater than the x-intercept of function g is the correct statement.

The points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively.

Setting y = 0 will provide the x-value at which the line crosses the x-axis, allowing us to find the x-intercept

Function g(x) is defined as:

g(x)=2+\(\sqrt[3]{3x+1}\)

and f(x)=0

To find x-intercept let g(x)=0

So

2+\(\sqrt[3]{3x+1}\)=0

\(\sqrt[3]{3x+1}\)=-2

Taking cube on both sides we get

3x+1= -8

3x=-9

x=-3

The x-intercept of g(x) + -3, which is less than the x-intercept of function f(x), hence, the correct statement is:

The x-intercept of the function f is greater than the x-intercept of function g.

To learn more about x-intercept visit the link:

https://brainly.com/question/17932786

#SPJ4

The value of x is equal to 15°

In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.

Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.

By substituting the given parameters, we have the following:

3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.

3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.

23x + 15 = 360°.

23x = 360 - 15

23x = 345

x = 345/23

x = 15°.

Read more on sum of interior angles here: brainly.com/question/13293407

#SPJ1

Answer:5 gallons

Step-by-step explanation:

20 quarts/4=5

The equations for Bulk Volume of a reservoir in ft³ is VB = A*h and in barrels is VB = (A*h) / 5.615. The equations for Pore Volume of a reservoir in ft³ is VP = φ*VB and in barrels is VP = (φ*VB)/5.615. The equations for Hydrocarbon Pore Volume in ft³ is VHC = φ*S*VB and in barrels is VHC = (φ*S*VB)/5.615.

The equations for calculating the bulk volume, pore volume, and hydrocarbon pore volume of a reservoir are as follows:

1. Bulk Volume (VB):

Where:

VB = Bulk Volume

A = Cross-sectional area of the reservoir in square feet (ft²)

h = Thickness of the reservoir in feet (ft)

2. Pore Volume (VP):

Where:

VP = Pore Volume

φ = Porosity of the reservoir (dimensionless)

VB = Bulk Volume

3. Hydrocarbon Pore Volume (VHC):

Where:

VHC = Hydrocarbon Pore Volume

φ = Porosity of the reservoir (dimensionless)

S = Saturation of hydrocarbons in the reservoir (dimensionless)

VB = Bulk Volume

The conversion factor from cubic feet (ft³) to barrels (bbl) is 5.615.

To know more about Bulk Volume, refer to the link :

https://brainly.com/question/29571126#

#SPJ11

Step-by-step explanation:

The systems of linear equations can have:

1. No solution: When the lines have the same slope but different y-intercept. This means that the lines are parallel and never intersect, therefore, the system of equations has no solution.

2. One solution: When the lines have different slopes and intersect at one point in the plane. The point of intersection will be the solution of the system

3. Infinitely many solutions: When the lines have the same slope and the y-intercepts are equal. This means that the equations represents the same line and there are infinite number of solution.

Therefore, based on the explained above, the conclusion is: Systems of equations with different slopes and different y-intercepts never have more than one solution.

To determine the probabilities and classify the events, I would need more information about the survey data or the specific probabilities associated with each event. Without this information, I cannot provide accurate answers or classify the events.

Answer:

609

Step-by-step explanation:

ratio of teachers to students at Priory School =2:27

Let X= total number of both the students and the teacher

Ratio of teacher=( 2/29)X

Ratio of student is (27/29 )X

But total number of teacher = 42

2/29 ×X =42

2X= 42×29

2X=1218

X= 609

Hence, school's total population is 609

The exact values of s in the interval [-2pi, pi) that satisfy the given condition 3tan2s = 1 are -1.911, -0.725, 0.460, 1.646, and 2.831.

To find the exact values of s in the interval [-2pi, pi) that satisfy the given condition 3tan2s = 1, we need to use the properties of the trigonometric functions and the given interval.

First, we can rearrange the equation to get tan2s = 1/3.

Next, we can use the inverse tangent function to find the value of 2s:

2s = tan^-1(1/3)

Now, we need to find the values of s in the given interval. Since the interval is [-2pi, pi), we need to find the values of s that satisfy the equation 2s = tan^-1(1/3) + n*pi, where n is an integer.

To find the values of s, we can divide both sides of the equation by 2:

s = (tan^-1(1/3) + n*pi)/2

Now, we can plug in different values of n to find the values of s in the given interval:

For n = -4, s = (tan^-1(1/3) - 4*pi)/2 = -1.911

For n = -3, s = (tan^-1(1/3) - 3*pi)/2 = -0.725

For n = -2, s = (tan^-1(1/3) - 2*pi)/2 = 0.460

For n = -1, s = (tan^-1(1/3) - pi)/2 = 1.646

For n = 0, s = (tan^-1(1/3))/2 = 2.831

For n = 1, s = (tan^-1(1/3) + pi)/2 = 4.017

For n = 2, s = (tan^-1(1/3) + 2*pi)/2 = 5.202

For n = 3, s = (tan^-1(1/3) + 3*pi)/2 = 6.388

For n = 4, s = (tan^-1(1/3) + 4*pi)/2 = 7.573

We can see that the values of s in the interval [-2pi, pi) are -1.911, -0.725, 0.460, 1.646, and 2.831.

Therefore, the exact values of s in the interval [-2pi, pi) that satisfy the given condition 3tan2s = 1 are -1.911, -0.725, 0.460, 1.646, and 2.831.

To know more about trigonometric functions refer here:

https://brainly.com/question/6904750#

#SPJ11

Answer:

47 bpm

B

Step-by-step explanation:

Draw a trend line (attached).

Reading from the graph, the resting hear rate, in bpm, of a person who exercises an average of 8 hours a week is approximately 47.

The only scatter plot that suggests a linear relationship between x and y is graph B (see second attachment) as the trend line is a straight line.

Answer:

1.8 kilometers

hope this helped

Answer:

1 8/10 kilometers

Step-by-step explanation:

u keep on adding 3 on to 3/10th 6 times then u get a improper fraction and turn that into a fraction and u get ur answer

hope it helps

Answer:

The total amount of rainfall for the year is negative, -1.73

Step-by-step explanation:

-0.45   +   -0.88   +   0.94   +   -1.67   +   -0.96   +   0.83   +   2.36   +   1.39   +   0.35   +   -1.35   +   -0.9   +   -1.39 = -1.73

(a) The probability of zero arrivals during the next minute is approximately 0.2231. (b) The probability of z service times less than or equal to a given value can be calculated using the exponential distribution formula.

(a) The probability of zero arrivals during the next minute can be calculated using the Poisson distribution with a rate of 1.5 per minute. Plugging in the rate λ = 1.5 and the number of arrivals k = 0 into the Poisson probability formula, we get P(X = 0) = e^(-λ) * (λ^k) / k! = e^(-1.5) * (1.5^0) / 0! = e^(-1.5) ≈ 0.2231.

(b) In the second part of the problem, the employee serves each customer in 1 minute on average, and the service times follow an exponential distribution. The probability of z service times less than or equal to a given value can be calculated using the exponential distribution. We can use the formula P(X ≤ z) = 1 - e^(-λz), where λ is the rate parameter of the exponential distribution. In this case, since the average service time is 1 minute, λ = 1. Plugging in z into the formula, we can calculate the desired probability.

Note: Since the specific value of z is not provided in the problem, we cannot provide an exact probability without knowing the value of z.

To learn more about probability  click here

brainly.com/question/31828911

#SPJ11

Both c. f is continuous on the interval [-2,3], where f(-2)=0 and f(3)=20 and d. f is continuous on the interval [-2,3], where f(-2)=15 and f(3)=30 options are correct. given below is the explanation of the result.

using Intermediate value theorem:(statement: suppose that f∈c[a,b] and f(a)≠f(b) then given a number λ lies between f(a) and f(b) there exist a point c ∈(a,b) such that f(c)=λ)

know according to the Intermediate value theorem both option c and d are correct here because either f(a)<f(b) for a number λ lies between f(a) and f(b) there exist a point c ∈(a,b) such that f(c)=λ) here if we take  interval [-2,3], where f(-2)=0 and f(3)=20 the theorem is applicable. if we have f(a)>f(b) for a number λ lies between f(a) and f(b) there exist a point c ∈(a,b) such that f(c)=λ so if we take the interval [-2,3], where f(-2)=15 and f(3)=30,the above stated theorem is applicable.

To learn more about , the Intermediate value theorem, click here brainly.com/question/4940880

#SPJ4

Answer:

given

Step-by-step explanation:

domains is always the horizontal which is (x) so domain is (6,-9)

To find the roots of a third-degree polynomial, also known as a cubic polynomial, we can use a method called factoring or apply the cubic formula.

The first step is to check if there are any common factors that can be factored out. Next, we can use the rational root theorem to determine potential rational roots. By applying synthetic division or long division, we can divide the polynomial by the potential roots to see if they are indeed roots.

If a rational root is found, we can then use synthetic division to factor out the corresponding quadratic equation. Finally, we can solve the quadratic equation using methods like factoring, completing the square, or using the quadratic formula to find the remaining roots.

It's important to note that not all cubic polynomials can be easily factored or solved algebraically. In such cases, numerical methods or approximation techniques may be used to find the roots.

learn more about polynomial :

https://brainly.com/question/11536910

#SPJ4

To find the roots of a third degree polynomial, you can follow these steps: 1) Check for rational roots using the Rational Root Theorem. 2) Use synthetic division to divide the polynomial by a linear factor. 3) Factor the resulting quadratic equation. 4) Solve for the roots by setting each factor equal to zero.

To find the roots of a third degree polynomial, we can follow these steps:

Remember, the Fundamental Theorem of Algebra states that every polynomial equation of degree n has exactly n complex roots, counting multiplicities.

Learn more:About find here:

https://brainly.com/question/22188924

#SPJ11

The  Trigonometric Identity sin² x + cos²x = 1 is: A. Pythagorean Identity.

The Pythagorean Identity which  tend to asserts that for every angle x, the sum of the squares of the sine and cosine of x is equal to one  is known as or called a  trigonometric identity.

The  Pythagorean identity can be expressed as:

sin² x + cos² x = 1

This identity is crucial to understanding trigonometry and tend to have several uses in numerous branches of science and engineering.

Therefore the correct option is A.

Learn more about Pythagorean Identity here:https://brainly.com/question/24287773

#SPJ1

Answer:

All vertical lines have an equation in the form x=... The number indicates the x -intercept. The line x=0 is the equation for the y-axis.

Since x=5 is a vertical line, there is no y-intercept and the slope is undefined.

Answer:

7/10

Step-by-step explanation:

10 marbles in a bag 7 of them are blue and the (10-7)=3 green

P( blue) = blue / total

            = 7/10

Answer:

Step-by-step explanation:

Pedometer

Answer: In other cases, guessing the correct answer is not so easy.Give students the equation 4 + 1 = 7 − 2, and ask them the following questions: 1.  we get another equation that is also true. −3. 2. = 2 . 2. MP.8 could say, “Add 100 to both.

Step-by-step explanation:

Ans TRUE! pretty simple.read explanation

Step-by-step explanation:

3 plus minus 8 and -4 (first equaution A) =is -9

(-3)-8-1 =(equation b) is = -9

The probability that a randomly chosen tenth-grader is male is 80/154

The probability that a randomly chosen tenth-grader is male given that the tenth-grader prefers geometry is 47/87

This refers to the possibility of an event occurring based on various factors such as frequency, amongst others.

The question of whether the events “male” and “geometry” are independent is "no, P(male) does not equal P(male | geometry)" and these answers were gotten from the values in the complete question and subsequent calculations.

Read more about probability here:

https://brainly.com/question/16722139

#SPJ4

Answer:

D,B,C ✔️ 80/154, 47/87, no, P(male) does not equal P(male | geometry)

Step-by-step explanation:

Answer:

6384

Step-by-step explanation:

Since the question is only talking about fruit, I'm going to ignore which type and add the fruits together.

3+4+7+14=7+7+14=14*2=28

I have 28 fruits, and my friend give me 5 times that, so my friend gives me 5*28, or 140 fruits. So in all, I have 140 plus my original 28, or 168 all together

Then, my other friend gives me 75 times more. Wow. I don't think I've seen this many fruits all in one place, but this is the world of math, so who cares?

75*168=(70*168)+(5*168)=7000+4200+560+500+300+40=11760+840=

12600 fruits that your friend gives you. In addition to the 168 that you had before. Pardon my french, but why the ...

12600+168=12768 fruits at the height of your fruity domination.

Then, your friend takes half

12768/2=6384 fruits.

Answer:

Step-by-step explanation:

top left r= 0.9 ; top right r= 0.4

bottom left r=0; bottom right r= -0.4

if they are not around a line looking like r=0

if they resemble a line well is close to r=1

if line goes up from left to right is r positive

if line goes down from left to right is r negative

Answer: To find the total amount of sugar required to make the banana pudding, we need to add the amount of sugar needed for the flour mixture to the amount of sugar needed for the meringue topping.

The recipe calls for 2/3 of a cup of sugar for the flour mixture and 1/4 of a cup of sugar for the meringue topping. To add these two fractions, we need to find a common denominator. The least common multiple of 3 and 4 is 12, so we can convert these fractions to twelfths:

2/3 = 8/12

1/4 = 3/12

Now we can add these two fractions:

8/12 + 3/12 = 11/12

So the total amount of sugar required to make the banana pudding is 11/12 of a cup.

Answer:

∠B = 84

Step-by-step explanation:

Supplementary angles add up to 180°, You would subtract 96 from 180 to find angle B.

Answer:

=> ∠B = 84

Step-by-step explanation:

Given :

∠A + ∠B = 180°

∠A = 96°

=> 96° + ∠B = 180

=> ∠B = 180-96

=> ∠B = 84