Every morning Jim runs for 15 minutes. If Jim runs 4 miles per​ hour, how far does Jim ​travel? Use the equation d=​rt, where d is​ distance, r is​ rate, and t is time.

Answers

Answer 1
We can use the formula d = rt, where d is distance, r is rate, and t is time to find the distance that Jim travels.

Given that Jim runs for 15 minutes, which is 1/4 of an hour. Also, his rate is 4 miles per hour.

Therefore, we can write:

d = rt

d = 4 miles/hour * (1/4) hour

d = 1 mile

So, Jim runs 1 mile every morning.

Related Questions

I need help fast not not like serious help me

I need help fast not not like serious help me

Answers

Answer:

D

Step-by-step explanation:

hope it helps .

sorry about the pic , kinda hard to get the whole

I need help fast not not like serious help me

imagine that you are taking a multiple-choice quiz written in swedish and must guess randomly. each question has 5 choices and 1 correct answer. calculate the probability that you...

Answers

The probability of answering the first question correctly is 0.2.

The first two questions correctly, 0.04

Incorrectly answer the first 3 correctly, 0.512

Incorrectly answer the first 4 correctly, 0.41

How to calculate probability?

The probability of answering each question correctly is 1/5 = 0.2. The probability of answering incorrectly is 4/5 = 0.8.

Therefore, the probabilities for each scenario are:

Answer the first question correctly: 0.2

Answer the first 2 questions correctly: 0.2 x 0.2 = 0.04

Incorrectly answer the first 3 questions correctly: 0.8 x 0.8 x 0.8 = 0.512

Incorrectly answer the first 4 questions correctly: 0.8 x 0.8 x 0.8 x 0.8 = 0.41

Learn more on probabilities here: https://brainly.com/question/7965468

#SPJ1

The complete question is:

imagine that you are taking a multiple-choice quiz written in Swedish and must guess randomly. each question has 5 choices and 1 correct answer. calculate the probability that you...answer the first question correctly. Correct answer the first 2 questions correctly. Incorrect answer the first 3 questions correctly. Incorrect answer the first 4 questions correctly.

Person 1 can do a certain job in twenty-one minutes, and person 2 can do the same job in twenty-eight minutes. When
completing the job together, which expression would be used to represent the amount of work done by person 1?

A. 21
B. X/21
C. 21x
D. 1/21

Answers

Answer:

C) x/21

Step-by-step explanation:

Since Person 1 can complete the entire job (100% = 1/1 = 1) in 21 minutes, this person can complete 1/21 of the job per minute. This is Person 1's rate. If x is the amount of time it takes both people together to finish the job, then the amount of work Person 1 does would be (1/21)(x) = x/21.

an evil dragon has captured 10 maidens and wants to put 4 of them in a blender and eat the result for breakfast. it knows that dorothy and virginia will not taste good together. how many ways does the dragon have to choose four maidens to eat that do not include both dorothy and virginia?

Answers

The evil dragon can choose four maidens to eat in 182 different ways that do not include both Dorothy and Virginia.



There are 120 different ways that the evil dragon can choose four maidens out of the ten without including both Dorothy and Virginia.

To arrive at this answer, we first need to calculate the total number of ways that the dragon can choose any four maidens out of the ten. This can be done using the formula for combinations, which is:

nCr = n! / (r! * (n-r)!)

In this case, n = 10 (the total number of maidens) and r = 4 (the number of maidens the dragon wants to choose). So the total number of ways the dragon can choose four maidens out of ten is:

10C4 = 10! / (4! * (10-4)!) = 210

Next, we need to subtract the number of ways that include both Dorothy and Virginia. The dragon cannot choose both of these maidens, so we need to calculate the number of ways that it can choose the other two maidens. This can be done using the formula for combinations again, but this time with n = 8 (the number of maidens remaining after excluding Dorothy and Virginia) and r = 2 (the number of maidens the dragon still needs to choose).

8C2 = 8! / (2! * (8-2)!) = 28

Finally, we can subtract the number of ways that include both Dorothy and Virginia from the total number of ways to get the answer:

210 - 28 = 182

So the evil dragon has 182 ways to choose four maidens to eat that do not include both Dorothy and Virginia.



The evil dragon can choose four maidens out of ten in 210 different ways. However, it cannot choose both Dorothy and Virginia, so we need to subtract the number of ways that include them both. The dragon can choose two more maidens out of the remaining eight, which can be done in 28 different ways. By subtracting this from the total number of ways, we get that the dragon has 182 ways to choose four maidens to eat that do not include both Dorothy and Virginia.



In conclusion, the evil dragon can choose four maidens to eat in 182 different ways that do not include both Dorothy and Virginia. This calculation was done using the formula for combinations, which involves finding the total number of ways to choose the maidens and then subtracting the number of ways that include both Dorothy and Virginia.

To know more about combinations visit:

brainly.com/question/29400564

#SPJ11

3x +7x -5 +2x +10 simplified is 12x +5

Answers

Answer:

yes

Step-by-step explanation:

3x+7x+2x = 12x

-5+10 = 5

so it's = 12x+5

Mackenzie rows a boat downstream for 96 miles. The return trip upstream took 16 hours longer. If the current flows at 4 mph, how fast does Mackenzie row in still water

Answers

The speed of the boat in still water is 8 miles per hour.

Let's call the speed of the boat in still water "x" (in miles per hour).

When Mackenzie rows downstream, the current is helping her, so the effective speed of the boat is (x + 4) miles per hour. The distance traveled is 96 miles. We can use the formula:

distance = rate × time

to set up an equation for the downstream trip:

96 = (x + 4) t

where "t" is the time (in hours) it takes for the downstream trip.

For the upstream trip, the current is working against Mackenzie, so the effective speed of the boat is (x - 4) miles per hour. The distance traveled is still 96 miles, but this time the trip takes 16 hours longer than the downstream trip. So we can set up another equation:

96 = (x - 4) (t + 16)

Now we have two equations with two unknowns (x and t). We can solve for t in the first equation and substitute into the second equation:

96 = (x - 4) (t + 16)

96 = (x - 4) (96/(x + 4) + 16)

Simplifying, we get:

96 = (x - 4) (96/(x + 4) + 16)

96 = 96(x - 4)/(x + 4) + 16(x - 4)

96(x + 4) = 96(x - 4) + 16(x + 4)(x - 4)

96x + 384 = 96x - 384 + 16(x^2 - 16)

96x + 384 = 96x - 384 + 16x^2 - 256

16x^2 = 256 + 384 + 384

16x^2 = 1024

x^2 = 64

x = 8

for such more question on speed

https://brainly.com/question/13943409

#SPJ11

if you were to graph the numbers of individuals with a certain trait that followed a normal distribution, where on the graph would the most individuals appear?the lowest endthe highest endthe top halfthe middle range

Answers

The most individuals with a certain trait that follow a normal distribution would appear in the middle range.

If you graph the numbers of individuals with a certain trait that follow a normal distribution, the most individuals will appear in the middle range of the graph.

When graphing a normal distribution, it creates a bell-shaped curve.

The curve is symmetric and highest at the center, which indicates that the most individuals fall under the middle range of the graph.

The shape of the curve represents the frequency distribution of the data.

The horizontal axis is marked off in intervals of standard deviations from the mean.

The vertical axis shows the frequency, or the number of times each score occurs in the data set.

For similar question on distribution.

https://brainly.com/question/24802582

#SPJ11

Solve for b.
b - 16 = 83
b =

Answers

Answer:

Hello! answer: b = 99

Step-by-step explanation:

To find b we just have to add 83 + 16 so

83 + 16 = 99 and 99 - 16 = 83 So B = 99

Answer:

B=99

Step-by-step explanation:

in our school school we were told that if a number is on the other side of the equals and it is - when you take it to the other side it will be addition so that is what I've just done hope you understand and if it was addition when we take it to the other side it would be subtraction.

Solve for b.b - 16 = 83b =

Bạn đang kiểm toán khoản mục nợ phải trả của Công ty Hoàn Vũ cho niên độ kết thúc ngày 31/12/200x. Trên bảng cân đối kế toán, có 1 khoản nợ phải trả như sau: - Tiền lương lũy kế phải trả công nhân viên 21.270.000đ - Phải trả cho nhà cung cấp về số hàng mua đã nhận nhưng chưa nhận được hóa đơn vào ngày 30/06/200x: 40.000.000đ yêu cầu: Cho biết các thử nghiệm chi tiết mà bạn cần thực hiện nhằm xác định tính trung thực và hợp lý của các khoản trên.

Answers

Answer:

Never going to give you up.

Step-by-step explanation:

We're no strangers to love

You know the rules and so do I

A full commitment's what I'm thinking of

You wouldn't get this from any other guy

I just wanna tell you how I'm feeling

Gotta make you understand

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you

We've known each other for so long

Your heart's been aching but you're too shy to say it

Inside we both know what's been going on

We know the game and we're gonna play it

And if you ask me how I'm feeling

Don't tell me you're too blind to see

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Scenario 2 Magnifi Co. produces a high-end amplifier for musical aficionados. Historically, only 85% of the 200 amplifiers produced per month on average have met the company's demanding standards for

Answers

Scenario 2 Magnifi Co. produces a high-end amplifier for musical aficionados. Historically, only 85% of the 200 amplifiers produced per month on average have met the company's demanding standards for quality control. Suppose a random sample of 50 amplifiers is taken from a month's production..

What is the probability that less than 40 of the amplifiers will meet the company's quality standards? b) What is the probability that between 40 and 45 inclusive of the amplifiers will meet the company's quality standards? c) What is the probability that more than 45 of the amplifiers will meet the company's quality standards? a) In order to solve for the probability that less than 40 amplifiers will meet the company's quality standards, we can use the binomial distribution formula: P(X < 40) = Σi=0^39 C(50, i) (0.85)i(1-0.85)50-i

This can be solved using a computer, calculator, or by using a binomial probability table. Using a binomial table, we can find that P(X < 40) = 0.024. Therefore, there is a 0.024 probability that less than 40 amplifiers will meet the company's quality standards. b) To solve for the probability that between 40 and 45 amplifiers inclusive will meet the company's quality standards, we can use the binomial distribution formula again. We need to solve for P(40 ≤ X ≤ 45): P(40 ≤ X ≤ 45) = Σi=40^45 C(50, i) (0.85)i(1-0.85)50-i This can also be solved using a computer, calculator, or binomial table. Using a binomial table, we can find that P(40 ≤ X ≤ 45) = 0.435. Therefore, there is a 0.435 probability that between 40 and 45 amplifiers inclusive will meet the company's quality standards. c) To solve for the probability that more than 45 amplifiers will meet the company's quality standards, we can use the binomial distribution formula one more time. We need to solve for P(X > 45): P(X > 45) = Σi=46^50 C(50, i) (0.85)i(1-0.85)50-i Once again, this can be solved using a computer, calculator, or binomial table. Using a binomial table, we can find that P(X > 45) = 0.056. Therefore, there is a 0.056 probability that more than 45 amplifiers will meet the company's quality standards.Overall, it can be concluded that the probability that less than 40 amplifiers will meet the company's quality standards is low, the probability that between 40 and 45 amplifiers inclusive will meet the company's quality standards is relatively high, and the probability that more than 45 amplifiers will meet the company's quality standards is relatively low.

To know more about amplifier visit:

https://brainly.com/question/32812082

#SPJ11

HELP ASAP ASAP HELPPP

HELP ASAP ASAP HELPPP

Answers

i don’t think this would exist because it would be only on the -2 point.

A ditributor of computer oftware want to obtain ome cutomer feedback concerning it newet package. Three thouand cutomer have purchaed the package. Aume that 600 of thee cutomer are diatified with the product. Twenty cutomer are randomly ampled and quetioned about the package. Let X denote the number of diatified cutomer ampled. (a) Find the denity for X. (b) Find E[X] and Var X. (c) Set up the calculation needed to find P[X ? 3]. (d) Ue the binomial table to approximate P[X ? 3]

Answers

(a) The distribution of X is binomial with parameters n = 20 and p = 600/3000 = 1/5 since we are randomly selecting 20 clients without replacement and interested in the proportion of happy consumers. Given below is the probability density function for this binomial distribution.

f(x) is equal to (n pick x) * p * x * (1-p) (n-x)

Where p and 1-p are the probability of success and failure, respectively, and n pick x is the binomial coefficient, which is equal to n!/(x! * (n-x)!).

(b) The formula for the anticipated value of X, or E[X], is

E[X] = np = 20 * (1/5) = 4

Var X, the variance of X, is defined as follows:

Var X = np(1-p) = 20*1/5*4/5=3.2

(c) The cumulative distribution function of the binomial distribution's formula can be used to get P[X >= 3]:

Sum(i=3 to n) f for P[X >= 3] (i)

Summarizing from I = 3 to 20 and substituting the values from the density function, we obtain:

Sum(i=3 to 20) = P[X >= 3] [(20 pick I (1/5)*i*4/5*(20-i)]

(d) We must determine the value of the cumulative distribution function at x = 3, which is equivalent to the likelihood of receiving three or fewer successes out of 20 trials, in order to approximate P[X >= 3] using the binomial table. By using n = 20 and p = 1/5 to calculate the value of the cumulative distribution function at x = 3 in the binomial table, it is possible to determine this probability. P[X >= 3]'s estimated value is 0.586.

To know more about  cumulative distribution function  at :

brainly.com/question/15291240

#SPJ4

I need the answer plz so I dont fail

I need the answer plz so I dont fail

Answers

Answer:

Whats the problem?  it wont show for me...

Step-by-step explanation:

i will awnser, just gotta give me the problem

what is the margin of error, using a 95% confidence interval, for estimating the true population for home delivery truck drivers

Answers

The margin of error, using a 95% confidence interval, for estimating the true population proportion for home delivery truck drivers is approximately 0.0897.

The margin of error is a measure of the uncertainty in the estimate of a population parameter based on a sample. In this case, we are estimating the true population proportion for home delivery truck drivers.

To calculate the margin of error using a 95% confidence interval, we need to know the sample size and the sample proportion.

Step 1: Determine the sample size. The larger the sample size, the smaller the margin of error.

Step 2: Calculate the sample proportion. This is the proportion of the sample that possesses the characteristic of interest (in this case, being a home delivery truck driver).

Step 3: Use the formula for margin of error:

Margin of Error = Z * sqrt((p * (1-p))/n)

where Z is the z-score associated with the desired confidence level (in this case, 95% confidence level), p is the sample proportion, and n is the sample size.

Step 4: Look up the appropriate z-score for a 95% confidence level. The z-score for a 95% confidence level is approximately 1.96.

Step 5: Plug in the values into the formula and calculate the margin of error.

For example, if the sample size is 100 and the sample proportion is 0.70, the margin of error would be:

Margin of Error = 1.96 * sqrt((0.70 * (1-0.70))/100)
= 1.96 * sqrt((0.70 * 0.30)/100)
= 1.96 * sqrt(0.21/100)
= 1.96 * sqrt(0.0021)
= 1.96 * 0.0458

= 0.0897 (rounded to 4 decimal places)

So, the margin of error, using a 95% confidence interval, for estimating the true population proportion for home delivery truck drivers is approximately 0.0897.

To know more about margin of error refer here:

https://brainly.com/question/29419047

#SPJ11



Lots of points please help 5. You live in a home in Bloom County. Your home has a market value of $80,000.
Your rate of assessment is 45 percent. You pay total property taxes of 56.79 mills.
Complete the form below to see how your property tax bill is distributed.

Lots of points please help 5. You live in a home in Bloom County. Your home has a market value of $80,000.Your

Answers

The distribution of the property tax is done over 3 categories, namely Country, schools and others.

What is percentage ?

A percentage is a figure or ratio expressed as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A percentage is a figure without dimensions and without a measurement system.

What is tax?

A tax is a mandatory fee or financial charge that a government imposes on a person or a business in order to raise money for public projects like building the finest infrastructure and facilities. Different public expenditure initiatives are then funded with the funds that have been raised. According to the established rule, it will invite serious repercussions if one does not pay taxes or refuses to contribute.

The collection of taxes can now take many different forms, including state taxes, federal taxes, direct taxes, secondary taxes, and much more.

In this form, we see that the distribution of property tax is done over 3 categories, Country, schools and others.

When we add the tax rate we get

tax amount= 2.35+0.5+1.2+1.55+2.14+32.50+3.20+9.95+2.4+1

                  = 56.79 Mills

To know more about percentage, visit

https://brainly.com/question/29306119

#SPJ1

Can you help me find the missing value to the nearest hundredth?!
cos□= 2/5

Thank you ❤

Answers

Answer:

66.42°

Step-by-step explanation:

Given

cos ? = \(\frac{2}{5}\) , then

? = \(cos^{-1}\) (\(\frac{2}{5}\) ) ≈ 66.42° ( to the nearest hundredth )

Which expressions are polynomials?

Select all that apply.

3x+9y
x2+x−4
27x2y−3
1/x+4

Answers

Answer:

i think a, b, and c not the last one

Step-by-step explanation:

i looked up the definition of a polynomial haha

hope this is right and helps <3

Which equation is equivalent to =23−6

Answers

what are the other equations? it will be the equation that equals 17 since 23-6=17

Hamad invested 5000 AED in an account that pays 5% annual interest.
After how many years will the value in Hamad's account be $25,000? ​

Answers

Answer:

About 33 years.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Simple Interest Rate Formula: \(\displaystyle A = P(1 + r)^t\)

P is principle amountr is ratet is time (in years)

Logarithm Property 1: \(\displaystyle log(a^x) = xloga\)

Step-by-step explanation:

Step 1: Define

Identify

P = 5000

r = 5% = 0.05

A = 25000

t = unknown

Step 2: Solve for t

Substitute in variables [Simple Interest Rate Formula]:                                 \(\displaystyle 25000 = 5000(1 + 0.05)^t\)[Division Property of Equality] Divide 5000 on both sides:                          \(\displaystyle 5 = (1 + 0.05)^t\)(Parenthesis) Add:                                                                                            \(\displaystyle 5 = (1.05)^t\)[Equality Property] log both sides:                                                                  \(\displaystyle log5 = log[(1.05)^t]\)Rewrite [Log Property 1]:                                                                                  \(\displaystyle log5 = tlog1.05\)[Division Property of Equality] Isolate t:                                                          \(\displaystyle \frac{log5}{log1.05} = t\)Rewrite:                                                                                                             \(\displaystyle t = \frac{log5}{log1.05}\)Evaluate:                                                                                                           \(\displaystyle t = 32.9869\)

Find the value of a. then find the angle measures of the polygon


Find the value of a. then find the angle measures of the polygon

Answers

Answer is 2a=120 and a=60
2a+2a+a+a=360
6a=360
a=60

2a
2(60)=120

Identify the characters of series below. nvž enn |||-) En=12 100 1-) Σπίο 3* 2"-1 ||-) En=2 n A) I Convergent, II Divergent, III Convergent B) I Convergent, Il Convergent, III Divergent C) I Convergent, II Convergent, III Convergent D) I Divergent, Il Divergent, III Divergent E) I Divergent, II Divergent, III Convergent

Answers

Based on the information, we can determine convergence or divergence of series.The given options do not provide a clear representation of potential outcomes.It is not possible to select correct option.

The given series is "nvž enn |||-) En=12 100 1-) Σπίο 3* 2"-1 ||-) En=2 n". In the series, we have the characters "nvž enn |||-)" which indicate the series notation. The characters "En=12 100 1-" suggest that there is a summation of terms starting from n = 12, with 100 as the first term and a common difference of 1. The characters "Σπίο 3* 2"-1 ||-) En=2 n" indicate another summation, starting from n = 2, with a pattern involving the operation of multiplying the previous term by 3 and subtracting 1.

To learn more about convergence click here : brainly.com/question/32549533

#SPJ11

Round to the nearest tenth
10x^2+5x-15=-12+8x^2

Answers

Answer:

x = - 3, x = 0.5

Step-by-step explanation:

Given

10x² + 5x - 15 = - 12 + 8x² ( subtract 8x² from both sides )

2x² + 5x - 15 = - 12 ( add 12 to both sides )

2x² + 5x - 3 = 0 ← in standard form

(x + 3)(2x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = 0.5

Set up an equation and solve for x

 Set up an equation and solve for x

Answers

Answer:

x = -10

Step-by-step explanation:

verticle angles are congruent

80 + x = 70

Subtract 80 from both sides

x = -10

describe y as the sum of two orthogonal vectors, x1 in span{u} and x2 orthogonal to u.

Answers

To describe y as the sum of two orthogonal vectors, x1 in the span{u} and x2 orthogonal to u , we follow two steps procedure:


1.First, find a vector x1 in the span{u} that is the projection of y onto u. To do this, use the formula:
  x1 = (y • u / ||u||^2) * u, where • represents the dot product and || || represents the magnitude of the vector.

2.Next, find the vector x2 that is orthogonal to u. Since y can be represented as the sum of x1 and x2, you can find x2 by subtracting x1 from y:
  x2 = y - x1

3.Now, you have y as the sum of two orthogonal vectors x1 and x2, with x1 in the span{u} and x2 orthogonal to u.

Learn more about   at orthogonal vectors  brainly.com/question/29423004

#SPJ11

8. Mónica rolls a 6-sided die with 3 yellow sides, 2 blue sides, and 1 red side. a. Find P(rolling a yellow). b. Find P(rolling a blue). c. Which outcome is more likely, rolling a yellow or rolling a blue?​

Answers

The probability of rolling a yellow is 1/2, the probability of rolling a blue is 1/3, and rolling a yellow is more likely than rolling a blue.

a. To find the probability of rolling a yellow, we divide the number of favorable outcomes (rolling a yellow) by the total number of possible outcomes. In this case, there are 3 yellow sides out of 6 total sides on the die. Therefore, P(rolling a yellow) = 3/6 = 1/2.

b. Similarly, to find the probability of rolling a blue, we divide the number of favorable outcomes (rolling a blue) by the total number of possible outcomes. There are 2 blue sides out of 6 total sides on the die. So, P(rolling a blue) = 2/6 = 1/3.

c. To compare the probabilities and determine which outcome is more likely, we compare P(rolling a yellow) and P(rolling a blue). From the calculations above, P(rolling a yellow) = 1/2 and P(rolling a blue) = 1/3. Since 1/2 is greater than 1/3, rolling a yellow is more likely than rolling a blue.

For more such questions on probability

https://brainly.com/question/24756209

#SPJ8

6. suppose [a],[b] ∈ z6 and [a]·[b] = [0]. is it necessarily true that either [a] = [0] or [b] = [0]? what if [a],[b] ∈ z7?

Answers

It is not necessarily true that either [a] = [0] or [b] = [0] when [a],[b] ∈ z6 and [a]·[b] = [0].

This is because in z6, there are other pairs of elements that multiply to [0] besides [0] and any other element. For example, [2]·[3] = [6] = [0] in z6, but neither [2] nor [3] are equal to [0].

However, if [a],[b] ∈ z7 and [a]·[b] = [0], then it is necessarily true that either [a] = [0] or [b] = [0]. This is because z7 is a field, meaning that it has no zero divisors (elements that multiply to [0] besides [0] itself). Therefore, the only way for [a]·[b] = [0] in z7 is if either [a] or [b] are equal to [0].

Learn more about abstract algebra here:https://brainly.com/question/27778848

#SPJ11

if p = 2^k + 1 is prime, show that every quadratic nonresidue of p is a primitive root of p.

Answers

Every quadratic nonresidue of p is a primitive root of p, when p = 2^k + 1 is primeIf p = 2^k + 1 is a prime number, we want to show that every quadratic nonresidue of p is a primitive root of p.

In other words, we aim to prove that if an element x is a quadratic nonresidue modulo p, then it is also a primitive root of p.

Let's assume p = 2^k + 1 is a prime number. To prove that every quadratic nonresidue of p is a primitive root of p, we can use the properties of quadratic residues and quadratic nonresidues.

A quadratic residue modulo p is an element y such that y^((p-1)/2) ≡ 1 (mod p), while a quadratic nonresidue is an element x such that x^((p-1)/2) ≡ -1 (mod p).

Now, let's consider an element x that is a quadratic nonresidue modulo p. We want to show that x is a primitive root of p.

Since x is a quadratic nonresidue, we know that x^((p-1)/2) ≡ -1 (mod p). By Euler's criterion, this implies that x^((p-1)/2) ≡ -1^((p-1)/2) ≡ -1^2 ≡ 1 (mod p).

Since x^((p-1)/2) ≡ 1 (mod p), we can conclude that the order of x modulo p is at least (p-1)/2. However, since p = 2^k + 1 is a prime, the order of x modulo p must be equal to (p-1)/2.

By definition, a primitive root of p has an order of (p-1). Since the order of x modulo p is (p-1)/2, it follows that x is a primitive root of p.

Learn more about Euler's criterion here:

brainly.com/question/12977984

#SPJ11

pls hurry will mark brainliest

pls hurry will mark brainliest

Answers

Answer: 10.9 m

So to find the missing side we can use the pythagorean formula to do this. It must be a right angle triangle if we want to use the formula. So we know two of the side lengths and that, that it has a right angle. Let's do it real quick! The formula is:

c^2=a^2+b^2 (c, the missing side, a is any side, b is the other side length)

So in this one we will find the missing side which is c . . . Place the formula!

c^2 = 7.7^2 + 7.7^2

c^2 = 59.29 + 59.29

c = square root of 118.58

c = 10.89 --> round to nearest tenth is 10.9

Brainliest pwease if I could help you! <3

Answer:

nvm then someone already did the answer

Step-by-step explanation:

adios

Jamila is walking her small dog for a walk around her neighborhood. They travel 3/5 They travel 3/5of a mile in 40 minutes. Determine the unit rate they walk in minutes per hour.

Answers

Answer:

unit rate = 0.9 miles per hour

Step-by-step explanation:

Rate per hour of walking is calculate by = distance moved in miles/ time taken in miles

_________________________

given

distance = 3/5 of a mile = 3/5 miles

time = 40 minutes

we have to find time in hours

60 minutes = 1 hour

40 minutes = 1/60 *40 hours = 2/3 hours

thus

unit rate = (3/5 miles)/ (2/3 hours ) = (3*3)miles/(5*2) hour = 9/10 miles per hour

unit rate = 0.9 miles per hour

If A=D and C=F, which additional statement does NOT alloy you to conclude that ABC=DEF

If A=D and C=F, which additional statement does NOT alloy you to conclude that ABC=DEF

Answers

Answer:

A

Step-by-step explanation:

i think its a because its saying which one does not allow you to conclude that both triangles are congruent but the other ones are talking the sides and a is the only one thats talking about the angles. so i dont really know if its right but thats just an educated guess.

Other Questions
3. Some of the entries in the stack frame for Bump are written by the function that calls Bump ; some are written by Bump itself. Identify the entries written by Bump . Read the excerpt from outsiders by S.E. Hinton. I had a long walk home and no company, but I usually lone it anyway, for no reason except that I like to watch movies undistrurbed so I can get into them and live them with the actors. When I see a movie with someone it's kind of uncomfortable, like having someone read a book over your shoulder. I'm different that waywhat is a universal theme found in this excerpt?A. Belonging to a community is importantB. Being alone is not always a bad thingC. Family life is not always easyD. Hard work can overcome obstacles What aspect of ancient Greek daily life does this passagereveal?Ocean travel was risky.Ocean travel was common.It was unusual to travel to Athens.It was common to travel to the Underworld. where did you get 36 Imagine you are tasked with inventory control for your plant. Using your knowledge of inventory management, answer the following question. If you are managing inventory of work in process, which source of control should you use? - transportation and distribution control systems, purchasing models and systems, high level production scheduling systems, shop floor control systems. A sample of 51 observations will be taken from a process (an infinite population). The population proportion equals .85. The probability that the sample proportion will be between .9115 and .946 is _____. find the resultant of a force of 4N and a force of 8 acting on the same point of an object if: the force act in the same direction in the same straight line At Waren Sports Supply, which of the following is the correct order for document preparation and entry recording in the sales and cash receipts cycle? - customer order, bill of lading, sales invoice, entry in sales and accounts receivable subsidiary ledgers - customer order, bill of lading, entry in sales and accounts receivable subsidiary ledgers, sales invoice- customer order, entry in sales and accounts receivable subsidiary ledgers, sales invoice, bill of lading- customer order, sales invoice, bill of lading, entry in sales and accounts receivable subsidiary ledgers - customer order, sales invoice, entry in sales and accounts receivable subsidiary ledgers, bill of lading What formed between Australia and Antartica? What was the result of this? Why does yasmina call Laurie How did the Republican Party begin ? PLEASE HELP! whoever answers right get brainliest!!! "int x ;scanf ( ""%d"", &x ) ;scanf ( stdin, ""%d"", &x ) ;both statements are similar" (T/F) What is the pH of a solution with an H+ ion concentration of2.4E-4?**Make sure to report your answer to the appropnate number of significant figures. pls help "I believed that going to high school would be life-changing. I saw myself as the rare plant, prepared to unfurl hidden layers. But I truly hoped that I wouldnt stink up the place." What element of figurative language is best supported by the following passage? * advocates for imperialism reacted to news of the turmoil in the belgian and german african colonies with sentiments reflected by which statement below? you throw a small rock upward, what velocity must you release the rock from your hand such that it stays in the air for 12 seconds? assume free fall conditions Sarah and her dogs -------- on the tip1 was going2 went3 did go4 is goingsolve that question Which of these is a pair of adjacent angles? The data below show the hourly wages earned by six employees. The second column shows the number of years of work experience for each employee. The third column is a binary variable indicating whether or not the employee has completed a training program. For the following questions, you may check your work using a calculator but must show how you set up the expression you are using (i.e. show your work). wage experience training 8 1 0 20 10 0 10 2 0 12 4 0 16 4 1 14 6 1 a) What are the mean, variance, and standard deviation of wages?b) What is the mean, variance, and standard deviation of experience? c) Draw a scatter plot with experience on the horizontal axis and wages on the vertical axis. Draw a straight line that best fits the data points. Based on this line, what is the approximate wage of someone with 0 years of experience? d) What is the covariance of wages and experience? Is this consistent with the line you drew in part c)? Explain. e) What is the correlation of wages and experience?