Atmospheric pressure P
in pounds per square inch is represented by the formula P=14.7e−0.21x
, where x is the number of miles above sea level. To the nearest foot, how high is the peak of a mountain with an atmospheric pressure of 8.164 pounds per square inch? (Hint: there are 5,280
feet in a mile)

The mountain is ___ feet high?

Answers

Answer 1

The peak of the mountain has a height of 14805 feet.

How to determine the height of a mountain according to atmospheric pressure model

In this problem we find the case of an exponential function for atmospheric pressure (p), in pounds per square inch, in terms of height (x), in miles, whose expression is introduced below:

[tex]p(x) = 14.7 \cdot e^{- 0.21\cdot x}[/tex], for x ≥ 0.

If we know that p(x) = 8.164 lb / in², then the height of the peak of a mountain is:

[tex]8.164 = 14.7\cdot e^{-0.21 \cdot x}[/tex]

[tex]0.555 = e^{-0.21\cdot x}[/tex]

Then, by relationship between exponential and logarithmic functions and logarithm properties:

㏑ 0.555 = - 0.21 · x · ㏑ 1

㏑ 0.555 = - 0.21 · x

x = - (1 / 0.21) · ㏑ 0.555

x ≈ 2.804

Finally, convert miles into feet:

x = 2.804 mi × (5,280 ft / 1 mi)

x = 14805.12 ft

To learn more on exponential functions: https://brainly.com/question/28596571

#SPJ1


Related Questions

Mai is playing a game of chance in which she rolls a number cube with sides numbered from 1 to 6. The number cube is fair, so a side is rolled at random.
This game is this: Mai rolls the number cube once. She wins $1 if a 1 is rolled, $2 if a 2 is rolled, $3 if a 3 is rolled, and $4 if a 4 is rolled. She loses $6.50 if a 5 or 6 is rolled.

(A) She gains __ per roll
(B) She loose __ per roll
(C) She neither gains or looses

Answers

The correct option regarding the expected value of her game is given as follows:

B. She looses $0.5 per roll.

How to obtain the expected value of a discrete distribution?

The expected value of a discrete distribution is calculated as the sum of each outcome multiplied by it's respective probability.

As each outcome is equally as likely, the distribution of earnings for her game is given as follows:

E(X = 1) = 1/6.E(X = 2) = 1/6.E(X = 3) = 1/6.E(X = 4) = 1/6.E(X = -6.5) = 2/6.

Hence the expected value for the game is of:

E(X) = (1 + 2 + 3 + 4) x 1/6 - 6.5 x 2/6

E(X) = -$0.5.

More can be learned about the expected value of a discrete distribution at brainly.com/question/27899440

#SPJ1

A sample of an ideal gas is compressed and cooled as it is taken from state 1 to state 2. The given properties for the gas in the two states are: p1 = 95.0 kPa, V1 = 0.0500 m3, V2 = 0.0400 m3, T1 = 300. K, T2 = 260. K. Calculate the pressure of the gas in state 2.

Answers

The pressure of the gas in state 2137 kPa. The equation of state for a hypothetical perfect gas is known as the ideal gas law, sometimes known as the generic gas equation.

What is the ideal gas law state?

The Ideal Gas Law asserts that all gases contain the same number of molecules when they are at the same temperature, pressure, and volume (but not the same mass). In case you forgot, when the temperature and pressure are getting close to turning into a liquid or solid, the Ideal Gas law does not apply.The general gas equation, often known as the ideal gas law, is the equation of state for a fictitious ideal gas. It has a number of limitations, but it provides a decent approximation of the behaviour of numerous gases under various circumstances.An ideal gas is one for which both the volume of the molecules and the forces between them are so negligibly small as to not affect the behaviour of the gas.  PV=nRT

Given data :

p1 = 95.0 kPa,

V1 = 0.0500 m3,

V2 = 0.0400 m3,

T1 = 300. K,

T2 = 260.

we know PV=nRT

P1 * V1 * T1 = P2 * V2 * T2

95 x 0.05 x 300 = P2 x 0.04 x 260

1425 = P2 x 10.4

P2 = 1425 / 10.4 = 137 kPa

Learn more about Ideal gas law refer to :

brainly.com/question/27870704

#SPJ4

which of the following is the probability that the insurance company will have to pay a claim of at least $4000 for a randomly selected car is: a.0.05 b.0.13. c.0.22. d.0.35. e.0.40

Answers

The probability that the insurance company will have to pay a claim of at least $4000 for a randomly selected car is 0.22. This means that out of 100 cars, the company will have to pay a claim of at least $4000 for 22 of them.

Step 1: Determine the probability of the insurance company having to pay a claim of at least $4000 for a randomly selected car.

Step 2: Calculate the number of cars out of 100 that will have a claim of at least $4000.

Step 3: Divide the number of cars with a claim of at least $4000 by 100 to get the probability.

The probability that the insurance company will have to pay a claim of at least $4000 for a randomly selected car is 0.22. This means that out of 100 cars, the company will have to pay a claim of at least $4000 for 22 of them. To calculate this probability, we first need to determine the number of cars out of 100 that will have a claim of at least $4000. Then, we divide this number by 100 to get the probability of the insurance company having to pay a claim of at least $4000 for a randomly selected car. This is a useful measure for the insurance company, as it tells them how likely it is that they will have to pay out a claim of at least $4000 for a randomly selected car.

Learn more about probability here

https://brainly.com/question/11234923

#SPJ4

Solve the equation 0 = 22² - 8x + 10.
Select all the correct answers.
= 2
= 2-i
x = 1
== -2
Ox=2+i
Oz=1-i
x = -1
Oz = 1+i

Answers

The roots of the given quadratic polynomial are-

x = 2 - ix = 2 + iWhat is meant by the term roots of polynomial?The values of such a variable where the provided polynomial equals zero are referred to as a polynomial's roots. P(a) = 0 if an is the polynomial's root for x. A polynomial's root or zero is the value(s) for X that make the polynomial equal zero (or make Y equal zero).

The given quadratic polynomial is:

0 = 2x² - 8x + 10

Comparing with the general equation: ax² + bx + c = 0

a = 2, b = -8, c = 10

Using quadratic formula.

x = -b ± √(b² - 4ac) / 2a

x = 8  ± √(8² - 4*2*10) / 2*2

On solving.

x = 2 - i

x = 2 + i

Both roots are imaginary numbers.

Thus, the roots of the given quadratic polynomial are-

x = 2 - ix = 2 + i

To know more about the roots of polynomial, here

https://brainly.com/question/2833285

#SPJ1

A local charity holds a carnival to raise money. In one activity, participants make a $3 donation for a chance to spin a wheel that has 10 spaces with the values, 0, 1, 2, 5, and 10. Whatever space it lands on, the participant wins that value. Let X represent the value of a random spin. The distribution is given in the table.What is the probability that the value is 0?0.20.40.50.6

Answers

Answer:

The first option (1)

Step-by-step explanation:

Because i am always right and i know how to do math :) .

Your welcome

What is the probability of choosing a short straw from a bag that contains 1 short straw and 9 long straws?

A) 1/10
B) 1/8
C) 1/9
D) 9/10

Answers

Answer:

The probability of choosing a short straw from a bag that contains 1 short straw and 9 long straws is 1/10 (A).

Simplify: x100y16‾‾‾‾‾‾‾√

Answers

The simplified rational expression in this problem is given as follows:

[tex]\sqrt{x^{100}y^{16}} = x^{50}y^8[/tex]

How to simplify the rational expression?

The rational expression for this problem is defined as follows:

[tex]\sqrt{x^{100}y^{16}}[/tex]

The power of power rule states that when an exponential expression is elevated to a power, the powers are multiplied.

With powers, the expression is given as follows:

(x^100y^16)^1/2.

Hence the powers of the simplified expression are given as follows:

100/2 = 50.16/2 = 8.

These two powers are the powers of the simplified expression given in the beginning of the answer.

More can be learned about simplification of expressions at https://brainly.com/question/723406

#SPJ1

An indoor soccer field can be rented for personal use. The total cost for renting the field can be found by using the equation y = 225x + 200. The x-variable is the number of hours the field is being rented, the constant is the flat rate for renting the field, and the y-variable is the total cost, in dollars.

Which statement is true based on the given equation?

The equation shows a linear relationship, but not a proportional relationship.
The equation shows a linear relationship and a proportional relationship.
The equation does not show a linear relationship or a proportional relationship.
The equation shows a proportional relationship, but not a linear relationship.

Answers

Answer: it would be (A)

The equation shows a linear relationship, but not a proportional relationship.

let me know if it helped

Answer:

it would be (A)

Step-by-step explanation:

a clerk is wrapping two cube-shaped packages and wants to know the smallest amount of wrapping paper that can wrap each package. the edge length of the larger package is 3in. the greater than the length of the smaller package. the surface area of the larger package is 384 in^2. what is the surface area of the smaller package?

Answers

The surface area of the smaller cubical package is given S = 150 inches²

What is the surface area of cube?

The formula for surface area of a cube is equal to six times of square of length of the sides of cube. It is represented by 6a2, where a is the side length of cube.It is basically the total surface area.

Surface area S = 6a² ,

where a is the side of the cube

Given data ,

Let the surface area of the smaller cube be represented as S

Now , the surface area of the larger cube L = 384 inches²

And , side length of smaller cube = side length of larger cube - 3

Now , the equation will be

Surface area of the larger cube L = 6 ( A )² ,

where A is the side length of the larger cube

So , substituting the values in the equation , we get

6 ( A )² = 384

Divide by 6 on both sides of the equation , we get

A² = 64

Taking square roots on both sides of the equation , we get

A = 8 inches

Now , side length of smaller cube a = 8 - 3 = 5 inches

So , surface area of the smaller cube S = 6 ( a )²

Substituting the values in the equation , we get

Surface area of the smaller cube S = 6 ( 5 )²

Surface area of the smaller cube S = 6 x 25

Surface area of the smaller cube S = 150 inches²

Hence , the surface area is 150 inches²

To learn more about surface area of cube click :

https://brainly.com/question/12079637

#SPJ1

suppose a certain home improvement outlet knows that the monthly demand for framing studs is 2,500 when the price is $3.25 each but that the demand is 3,900 when the price is $2.83 each. assuming that the demand function is linear, write its equation. use p for price (in dollars) and q for quantity.

Answers

The demand function is linear, so we can write it in the form of:

q = a - bp

Where a and b are constants and q is the quantity demanded and p is the price. We have two points, one at a price of $3.25 with a quantity of 2,500, and another at a price of $2.83 with a quantity of 3,900.

We can use these two points to solve for the values of a and b in the equation.

Plugging in the first point:

2500 = a - (3.25)b

Plugging in the second point:

3900 = a - (2.83)b

We can then solve this system of equation by substituting the first equation with the second one

3900 = a - (2.83)b

=2500 + 1400 = a - (3.25)b + (2.83)b

=a - (0.42)b

So the equation is:

q = 3900 - 0.42p

Learn more about Linear Demand Function here: https://brainly.com/question/2800801

#SPJ4

Which of the following conditions must be met to conduct a two-proportion significance test?
The populations are independent.
The probabilities of success multiplied by the sample sizes are greater than or equal to 10 and the probabilities of failure multiplied by the sample sizes are greater than or equal to 10 for each population.
Each sample is a simple random sample.
I only
II only
III only
I and II only
I, II, and III

Answers

A two proportion significance test must be performed and pass all parameters. Ans is true since all three requirements have been met (I, II and III). Option (e).

Given,

For the two proportion significance test, the following assumptions were met: The populations are independent. (Populations exist in distinct groups.) The sample size multiplied by the success probability for each population is more than or equal to ten, as is the sample size multiplied by the failure probabilities. (We look at this normality criterion; if it holds true, we say that the data is roughly normally distributed.)

Every sample is chosen randomly. (The sample must be selected at random; else, bias may occur.) A two-proportion Z-test is a statistical hypothesis test that determines whether two proportions are different from one another. Two independent samples are used in the test, and Z-statistics are calculated with the null hypothesis that the two proportions are equal.

Learn more about proportion here;

https://brainly.com/question/29890756

#SPJ4

alyssa bought a bag containing 60 small candies. she starts eating the candies at a rate of 5 candies per minute. answer the questions below regarding the relationship between the number of minutes eating and the number of candies left in the bag.The independent variable, x, represents the __________ and the dependent variable is the __________ because the __________ depends on the __________. A function relating these variables is H(x) = ___.So H (10) = ___, meaning ____.

Answers

The number of candy still in the bag is the dependent variable, while the independent variable, x, stands for the length of time spent eating, as the number of candies still in the bag relies on the length of time spent eating. A function relating these variables is H(x) = 60 - 5x. So H (10) = 40, meaning there are 40 candies left in the bag.

H(x) = 60 - 5x

H(10) = 60 - 5(10)

H(10) = 60 - 50

H(10) = 10

The independent variable, x, represents the number of minutes eating and the dependent variable is the number of candies left in the bag because the number of candies left depends on the number of minutes eating. This is a linear relationship, meaning that the rate at which the candies are being eaten is constant, so the decrease in the number of candies is proportional to the number of minutes eating. A function relating these variables is H(x) = 60 - 5x. This is a linear equation, with a slope of -5, which means for every minute eating, the number of candies left decreases by 5. So, when x = 10, H(10) = 60 - 5(10) = 60 - 50 = 10, meaning there are 10 candies left in the bag. This function can be used to determine the number of candies left in the bag at any point in time.

Learn more about independent variable here

https://brainly.com/question/29430246

#SPJ4

The area of one of the bases of the figure shown above is about 6.9 cm^2. What is the surface area?

Answers

Answer:

Step-by-step explanation:

adadadadadadadadadadadada

Write an expression for the sequence of operations described below. raise 10 to the 5th power, then add the result to 7 Do not simplify any part of the expression.

Answers

The expression which represents the given word phrase as required to be written is; 10⁵ + 7.

Which expression represents the mathematical representation of the word phrase?

It follows from the task content that the expression which represents the sequence of operations described be written.

First, the word phrase says; raise 10 to the 5th power, therefore, we have;

10⁵

Finally, the word phrase says to add the result to 7; Hence, the final expression is; 10⁵ + 7.

Read more on word phrase;

https://brainly.com/question/28345080

#SPJ1

alice, bob, and carol play a game in which each of them chooses a real number between $0$ and $1.$ the winner of the game is the one whose number is between the numbers chosen by the other two players. alice announces that she will choose her number uniformly at random from all the numbers between $0$ and $1,$ and bob announces that he will choose his number uniformly at random from all the numbers between $\tfrac{1}{2}$ and $\tfrac{2}{3}.$ given this information carol will choose (in simplest form) to maximize her chance of winning. find .

Answers

Carol should decide on the average of the two anticipated numbers. She must thus decide to select  [tex]\frac{13}{24}[/tex].

Probability is an area of mathematics that examines the possibility that a particular event will occur. In most cases, the probability values for the specified experiment are specified between a range of numbers. The values fall in the range of 0 and 1. A negative number cannot be the probability value. Experimental probability, also known as Empirical probability, is based on actual experiments and adequate recordings of the happening of events. For Alice's number, the anticipated value is [tex]\frac{1}{2}[/tex] and the expected value of Bob's number is [tex]0.5*[\frac{1}{2} +\frac{2}{3} ][/tex]. Carol should pick the middle between these two projected figures to increase her chances of winning. She must thus choose [tex]0.5*[\frac{1}{2} + \frac{7}{12} ][/tex] = [tex]\frac{13}{24}[/tex]. Alternatively, once we recognize that the answer lies in the interval [tex](\frac{1}{2},\frac{7}{12} )[/tex], it is straight forward that she has chosen the right number.  

Learn more about experimental probability here:

https://brainly.com/question/23429157

#SPJ4

What type of sequence is this? (2, 4, 8, 16, 32)

Answers

Answer: A factor of 2 between each number

Step-by-step explanation: 2 (*2), 4 (*2), 8, and so on...

Answer:

Geometric sequence

Step-by-step explanation:

In a geometric sequence you must multiply by a common ratio to get from one term to the next.

To get from 2 to 4, multiply by 2.

To get from 4 to 8, multiply by 2, and so on.

This means that the common ratio is 2

Last year, Ivanna opened an investment account with $5500. At the end of the year, the amount in the account had decreased by 28.8%. How much is this decrease in dollars? How much money was in her account at the end of last year?

Answers

Answer:

$ 3916

Step-by-step explanation:

Amount= $5500

%decrease= 28.8% or .288

Amount decreased= 5500 x .288; $1584.

End of last year= 5500 - 1584; 3916

Crickets chirp to attract other crickets. The temperatures and rates of their chirping are graphed above. Which statement below is most likely true for the data represented in the graph?
answer choices
A. The cooler the temperature, the louder the crickets chirp.
B. The crickets cannot chirp at temperatures lower than 10 degrees Celcius
C. The warmer the temperature, the more often crickets chirp.
D. The temperature and the chirping of crickets are not related.

Answers

C. The warmer the temperature, the more often crickets chirp.

The graph shows a direct correlation between temperature and the rate of chirping. As the temperature increases, the rate of chirping increases as well. Using the formula y=mx+b, where m is the slope of the line and b is the y-intercept, the slope of the line in the graph is approximately 0.5, which means that for every 1 degree Celcius increase in temperature, the rate of chirping increases by 0.5 chirps per second. This proves that the warmer the temperature, the more often the crickets chirp.

Learn more about correlation here:

https://brainly.com/question/30016867

#SPJ4

A rodent species has a population of 25,000 and is decreasing in size at a factor of per year
due to the increase in snake population.
a. Write an exponential model that will estimate the rodent's population.
b. Describe the meaning of "a" and "b" in the context.
c. Copy the table and complete.
X Y
0
1
2
3
4
5

bookmarks
d. Using the model in part A, how many estimated population after 10 years. Write your
answer in whole number.

Answers

The exponential model for the rodent's population is 25,000[tex](0.08)^{x}[/tex], where x is the number of years and 0.8 is the rate of decrease in population size per year.

What is an exponent?

An exponent is a mathematical notation that indicates how many times a number has been multiplied by itself. It is commonly shown as a superscript next to the basic number, such as [tex]4^{2}[/tex], which equals 4 x 4 = 16.

a. The exponential model for the rodent's population is Y = 25,000[tex](0.08)^{x}[/tex], where x is the number of years.

b. The "a" in the exponential model is 25,000, which is the starting population of the rodent species. The "b" is 0.8, which is the rate of decrease in population size per year.

c.

X  Y

0   25000

1   20000

2   16000

3   12800

4   10240

5   8192

d. After 10 years, the estimated population of the rodents is 2048. This is because the population decreases by a factor of 0.8 each year, so the population after 10 years is 25000[tex](0.8)^{10}[/tex] = 2048.

To know more about exponents, visit

brainly.com/question/30066987

#SPJ1

Jenny is making jewelry for an arts and crafts show. She Would like to make at least $100 in sales. She estimates that she will sell at most 50 pieces of jewelry. The bracelets that she is selling cost $2 and the necklaces cost $3

Answers

The Inequalities that represent the above situation are => x + y ≤ 50 and 2x + 3y ≥ 100 and the possible combinations are (20, 30) and (30, 20).
[ Graphs are given below ].

Forming Inequalities:  

To form the required inequalities, represent the unknown quantities with variables like x, y,..etc.

In the given problem, we don't know the number of items that Jenny will sell so here we represent them with variables 'x' and 'y'.

And obtain expression according to the condition of the given problem. Since we need to represent them in inequalities use signs like less than, greater than, etc.  

Here we have

Jenny would like to make at least $100 in sales.

She estimates that she will sell at most 50 pieces of jewelry.

The bracelets that she is selling cost $2 and the necklaces cost $3  

Let Jenny sold 'x' bracelets and 'y' necklaces

Number of pieces that Jenny estimated = 50

=> x + y ≤ 50 ----- (1)

Jenny would like to make at least $100 in sales.

=> 2x + 3y ≥ 100 ---- (2)      

Let Jenny sell 20 bracelets and 30 necklaces  

=> 2(20) + 3(30) ≥ 100      

=> 40 + 90 ≥ 100  

=>  130 ≥ 100  [ which is true ]

Let Jenny sell 30 bracelets and 20 necklace

=> 2(30) + 3(20) ≥ 100  

=> 60 + 60 ≥ 100    

=> 120 ≥ 100    

∴ The possible combinations are (20, 30) and (30, 20)

Therefore,

The Inequalities that represent the above situation are => x + y ≤ 50 and 2x + 3y ≥ 100 and the possible combinations are (20, 30) and (30, 20).
[ Graphs are given below ].

Learn more about Inequalities at

https://brainly.com/question/30228778

#SPJ1

Let x and y be functions of time t such that the sum of x and twice y is constant . Which of the following equations describes the relationship between the rate of change of x with respect to time and the rate of change of y with respect to time ?
a) dx/dt=2dy/dt
b)dx/dt=-2dy/dt
c)2dx/dt+dy/dt=0
d)dx/dt+2dy/dt=k,where k is a function of t

Answers

The equation describes the relationship between the rate of change of x with respect to time and the rate of change of y with respect to time  is  b)  dx/dt = -2dy/dt.

What are equations?Two expressions joined by an equal sign form a mathematical statement known as an equation. An equation is, for instance, 3x - 5 = 16. We can solve this equation and determine that the value of the variable x is 7. It describes romantic feelings specifically in terms of four fundamental elements and their relative weights. The elements are lust, affection, trust, and emotional attachment. Age-related issues can be resolved using it. It is used to determine an object's speed, distance, and time. Issues with geometry can be resolved. Problems involving money and percentages are calculated using it.The equation describes the relationship between the rate of change of x with respect to time and the rate of change of y with respect to time  is  b)  dx/dt = -2dy/dt

We are given that ...

 x(t) +2y(t) = k

for some functions x(t) and y(t) and some constant k.

Differentiating with respect to time gives ...

 x'(t) +2y'(t) = 0

 x'(t) = -2y'(t) . . . . . subtract the y term

In the form used in the answer choices:

 dx/dt = -2dy/dt . . . . . matches choice B

To learn more about equations refer to:

https://brainly.com/question/2972832

#SPJ4

A 4 year-old patient, who accidentally ingests valium found in his mother's purse, is found unconscious and rushed to the ED. The child is treated by the ED physician, who inserted a tube orally into the stomach and performed a gastric lavage, removing the stomach contents. What CPT® and ICD-10-CM codes are reported?

Answers

The reported 43753, T42.4X1A, and R40.20 CPT® and ICD-10-CM codes

What is CPT® code?In order to simplify reporting, improve accuracy, and boost efficiency, doctors and other healthcare workers have access to the Current Procedural Terminology (CPT®) codes.Rationale: Gastric lavage used to treat poison ingestion is properly coded as CPT® code 43753. Gastric Lavage, Therapeutic/Intubation can be found in the CPT® Index. You can get the ICD-10-CM code for the poisoning by looking for the Valium/Poisoning, Accidental (unintentional) column in the Table of Drugs and Chemicals, which directs you to code T42.4X1-. To finish the code in the Tabular List, a seventh character is required. In light of the fact that this was the patient's first meeting, A is listed as the seventh character. The following code represents unconsciousness, which is a side effect of taking Valium. You should consult Coma R40.20 if you're looking for unconsciousness in the ICD-10-CM Alphabetic Index. The Tabular List attests to the stated unconsciousness using this code.

To learn more about CPT® code, refer to:

https://brainly.com/question/28496274

#SPJ4

Find the equation of the plane containing all the points equidistant from the points (3,-7,c) and (1,-3,0). Assume that c is a constant.

Answers

The equation of the plane is 2(x-2) + 4(y+5) - c(z-c/2) = 0

How to determine the equation of the plane

From the question, we have the following parameters that can be used in our computation:

points (3,-7,c) and (1,-3,0)

The equation is then calculated as follows:

Start by calculating the midpoint M

M = ( (3+1)/2 , (-7-3)/2 , (c+0)/2 ) = (2,-5,c/2)

Then we need to find the vector parallel to the line, which is given by

v = (1-3, -3-(-7), 0-c) = (-2,4,-c)

Substitute the coordinates of the midpoint and the normal vector into the equation of a plane "ax + by + cz = d"

Where (a,b,c) is the normal vector and d is a constant.

-2(x-2) + 4(y+5) - c(z-c/2) = 0

Read more about equation of plane at

https://brainly.com/question/10165611

#SPJ1

Shorts that regurlarly sell at 175 are sold for 131.25 determine the discoun and rate of discount

Answers

Answer:

25%

Step-by-step explanation:

Discount is 175 - 131.25 = 43.75

Rate of discount = 43.75/175 x 100 = 25%

An experiment consists of rolling a fair die (sides numbered 1, 2, 3, 4, 5, 6) and then spinning a spinner with 4 equal sections labeled “Blue”, “Red”, “Purple” and “Yellow”

Let A be the event that the number rolled is a 3 or a 4.

Let B be the event that “Purple” is spun.

Find P(A).

Answers

The probability that the number rolled is a 3 or 4 is 1/3.

What is the probability?

Probability is the likelihood that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0. If there is a equal chance that the event would occur or not equal, the probability value would be 0.5.

P(B) = probability that the number rolled is a 3 or 4 = (number of sides that is a 3 / total number of sides) +  (number of sides that is a 4 / total number of sides)

= 1/6 + 1/6 = 2/6 = 1/3

To learn more about probability, please check: brainly.com/question/13234031

#SPJ1

In right triangle ABC with the right angle at vertex C , altitude CE¯¯¯¯¯¯¯¯ is drawn from vertex C to AB¯¯¯¯¯¯¯¯ . Which similarity statement correctly relates the three triangles in the diagram?

Right triangle A B C has right angle A C B. Segment C E is the altitude to hypotenuse A B.
Responses

△ABC∼△ACE∼△CBE
△ABC∼△ACE∼△CBE

△ABC∼△AEC∼△EBC
△ABC∼△AEC∼△EBC

△ABC∼△CAE∼△BCE
△ABC∼△CAE∼△BCE

△ABC∼△ACE∼△BCE

Answers

△ABC∼△ACE∼△CBE is true according to the given data of triangles.

What is the congruent triangle?

Triangles are said to be congruent if, under a correspondence, two of a triangle's sides and the angle that connects them are equal to two of another triangle's sides and the angle that connects them.

Given, ABC is a right triangle with altitude CE

Now,

In Triangle ABC and Triangle ACE

angle CAB = angle EAC

(common angle)

angle ACB = angle AEC (Right angle)

So,

Triangle ABC is similar to triangle ACE

Similarity,

For ΔABC and ΔCBE;

∠ABC = ∠CBE (common angle)

∠ACB = ∠CEB (right angle)

So,

ΔABC is also similar to ΔCBE

thus,

ΔABC  ≅ ΔACE ≅ ΔCBE

Therefore, Option (a) △ABC∼△ACE∼△CBE is correct.

Learn more about congruent triangles here:

https://brainly.com/question/22062407

#SPJ1

Complete question:

Error Analysis Holly was asked to estimate the solution of the system of equations.
She incorrectly said the solution is (-1, -0.5). Estimate the solution of the system by
graphing the equations. What mistake might Holly have made?
y-2x=0
y=8x+3

Answers

The solution is (-0.5, -1). The graph of the system of linear equations is attached below.

What is a linear equation?

A linear equation is one that has the highest degree of 1 possible. This indicates that there are no variables in a linear equation with exponents greater than 1. Such an equation on the graph, forms a straight line.

We are given two equations:

y-2x=0

⇒ y=2x

and y=8x+3

So,

⇒2x = 8x+3

⇒-6x = 3

x = -0.5

Putting this value in y=2x, we get

y= -1

Thus, the solution is (-0.5, -1).

The graph of the system of linear equations is attached below wherein the blue line represents y-2x=0 and green line represents y=8x+3.

Holly must have got confused in the x-coordinates and the y- coordinates while writing the ordered pair.

Hence, the solution is (-0.5, -1).

Learn more about linear equation from the given link

https://brainly.com/question/2030026

#SPJ1

Moshde runs a hairstyling business from her house. She charges $49 for a haircut and style. Her monthly expenses are $1010. She wants to be able to put at least $1,246 per month into her savings account order to open her own salon.
How many "cut & styles" must she do to save at least $1,246 per month?

Answers

The number of cut & styles that Moshde can do is 47.

How many cut and styles can she do?

The total amount that Moshde can save is the difference between the total revenue and the total cost.

Amount that can be saved = total revenue - total cost

$1246 = (charge per haircut x number of hair cuts) - $1010

$1246 = ($49 x h) - $1010

$1246 = $49h - $1010

In order to determine the value of h, take the following steps:

Combine and add similar terms:

$1246 + $1010 = 49h

2256 = 49h

Divide both sides of the equation by 49

h = 2256 / 49

h = 46.04

h = 47

To learn more about division, please check: https://brainly.com/question/194007

#SPJ1

Please help me with this question

Answers

Answer:

19

Step-by-step explanation:

TU is 2 inches and UV is 17 so adding them together would equal TV which is 19.

Answer: 19

Step-by-step explanation:

Because point U is found on both TU and UV, we can assume that this point is a bisector, dividing line TV into two separate lines. This essentially tells us that when we add lines TU and UV together, they will equal the length of line TV. With that being said, 2 + 17 = 19, so that is the length of TV. Hope this helps!

what is the answer to this please​

Answers

Answer:

the rise would be 4 and the run would be -8.

Step-by-step explanation:

So, we would write it in a y=mx+b formula. It would be y=4x-8.

Answer:

complicated

Step-by-step explanation:

so your screen quality is os$ so ill just tell you what to do.

first look at to points on the graph the meet on the line

second, find how much the rise is (it will be a negative number.)

third, find the run (how far the x moves)

put rise over run and theres your answer

Other Questions
Moving a limb away from the midline or median plane of the body. Terminology also applies to the fanning movement of the fingers or toes when they are spread apart called-- The lengths of salamanders have a normal distribution with mean 15cm, and standard deviation 2cm. In a collection of 200 salamanders, about how many have length greater than 16.5cm? 11. Why is it important that the labels included in specimen jars be made of special paper that does notdisintegrate in alcohol over time Dakota, inc. purchased raw materials worth $8,000 on account. the journal entry to record the purchase of raw materials on account is . which of the following describes a purpose of creation stories?(1 point) responses to learn about rituals from long ago to learn about rituals from long ago to teach a lesson that would help people survive to teach a lesson that would help people survive to tell stories about ancestors to tell stories about ancestors to illustrate how the earth came to be How many three digit numbers are divisible by 7?. Why is very descriptive language a standard for judging the quality of a story?It develops the readers ability to read difficult text. It makes it easier to follow the development of the plot.It helps the reader picture what is happening in the story.It improves the readers ability to use vocabulary for describing.MARK!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! What is the range of f/x )= Logbx?. How can someones disability become their ability? Respond to the prompt in three paragraphs A moving object travels 350 feet in 5 seconds assuming that the object travels at a constant speed , When dropped from a height of 350 feet , It takes exactly 5 seconds for the stone to hit the ground Chang has two coupons for. A printer coupon a has 14$ rebate on a 75$ printerCoupon b has 15%off of a 75 $ printer choose the coupon that gives the lower prize To make 4 cups of rice, Iain needs 5 cups of water. To make 16 cups of rice, he needs 20 cups of water. Write this as a proportion. 4/?=?/? What are the rules in the Aetna v. Pendleton Detectives of Miss. case? let the samples of the noise voltage, v (nt) be jointly gaussian random variables. show that x(t) is a gaussian process. indicate whether the following statements are true or false. In each case give a reason for your answer. If W Rn is a subspace and v Rn, then prW (v) is the least-squares approximation to v by a vector in W except when prW (v) = 0..A.TrueB.False If a rectangle' perimeter i 999 ft, give at leat one poible meaurement of it length and width which statements are true regarding mutual fund offerings? i selling group members are allowed to discount mutual fund shares on their own ii selling group members cannot discount mutual fund shares on their own iii selling group members are allowed to sell mutual fund shares for more than the public offering price iv selling group members cannot sell mutual fund shares for more than the public offering price What is meant by a substitution reaction give an example with equation of the substitution reaction of an alkene?. Which of the Enlightenment thinker decribed in thi ection had the greatet influence on the actual tructure of the U. S. Government? What wa hi contribution? After dancing for 24 hours towin the contest, I had a seriousproblem withas I triedto walk to my locker.A. inundateB. locomotionC. ingratiateD. cauterize