Which of the following expressions are equivalent?

I. 5a6
II. 30a
III. a6 + a6 + a6 + a6 + a6
IV. 6a5

Answers

Answer 1

Answer:

5а⁶=а⁶+а⁶+а⁶+а⁶+а⁶

~~~~~~~~


Related Questions

Find the value of x that will make A||B

Answers

Answer:

x = 4

Step-by-step explanation:

If A is parallel to B, therefore,

9x + 4 = 5x + 20 (alternate interior angles are congruent)

9x + 4 - 5x = 5x + 20 - 5x (subtraction property of equality)

4x + 4 = 20

4x + 4 - 4 = 20 - 4 (subtraction property of equality)

4x = 16

4x/4 = 16/4 (division property of equality)

x = 4

Find 356*27+537*373-235*73=

Answers

Answer:

Using PEMDAS the answer would be 192758

Step-by-step explanation:

(356*27)+(537*373)-(235*73)=

9612+200301-17155=

Solve

192758

Happy learning!

--Applepi101

Which equation would find the distance between the
two points show on the coordinate plane?

Answers

Answer: The third one or C

Step-by-step explanation: That is the correct distance formula.

Answer:

the last equation.

Step-by-step explanation:

you would subtract the x values, square them, and add it to the subtracted and squared y values. then take the square root of the remaining value.

(3.5 x 10 ^ -4) ÷ (5 x 10 ^ 5) in standard form

Answers

Answer:

0.7 x 10 ^ -9

Step-by-step explanation:

(3.5 x 10 ^ -4) ÷ (5 x 10 ^ 5)

3.5 / 5 x 10 ^ -4/ 10 ^ 5

=> 0.7 x 10 ^ -9

Calculus 3 Problem:


5. The velocity field of a fluid flowing through a region in space is

F=-4 xy i+ 8y j +2 k

Find the flow along the curve r(t) = ti+t^2 j+k,
[tex]0 \leqslant t \leqslant 2[/tex]​

Answers

Answer:

हेहेवोफेन्वोश्व्भ्जेहेहेहेहेहीहेह्सुउआअन्ब्य्हपन्स्न्द्कह्ध्फ्फ्ज्बिफ्न्व्मौएएएकेनेह्फिग्ग्तिर

Step-by-step explanation:

ddhxuxhdheuejeuejeiejejwoqoooeurrttqoyuxj न्क्क्द्सिइएर्‍रिरिर्‍क्जेव्व्व्द!दर्‍फ्ज्र्ज्द्ज74848491$=:/%*$*73829238%77-%7:8/:="829192=/:

Suppose that on the average, 7 students enrolled in a small liberal arts college have their automobiles stolen during the semester. What is the probability that more than 3 students will have their automobiles stolen during the current semeste

Answers

Answer:

0.91824 = 91.824% probability that more than 3 students will have their automobiles stolen during the current semester.

Step-by-step explanation:

We have only the mean, which means that the Poisson distribution is used to solve this question.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

Suppose that on the average, 7 students enrolled in a small liberal arts college have their automobiles stolen during the semester.

This means that [tex]\mu = 7[/tex]

What is the probability that more than 3 students will have their automobiles stolen during the current semester?

This is:

[tex]P(X > 3) = 1 - P(X \leq 3)[/tex]

In which

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

So

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-7}*7^{0}}{(0)!} = 0.00091[/tex]

[tex]P(X = 1) = \frac{e^{-7}*7^{1}}{(1)!} = 0.00638[/tex]

[tex]P(X = 2) = \frac{e^{-7}*7^{2}}{(2)!} = 0.02234[/tex]

[tex]P(X = 3) = \frac{e^{-7}*7^{3}}{(3)!} = 0.05213[/tex]

Then

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.00091 + 0.00638 + 0.02234 + 0.05213 = 0.08176 [/tex]

[tex]P(X > 3) = 1 - P(X \leq 3) = 1 - 0.08176 = 0.91824[/tex]

0.91824 = 91.824% probability that more than 3 students will have their automobiles stolen during the current semester.

You can model that you expect a 1.25% raise each year that you work for a certain company. If you currently make $40,000, how many years should go by until you are making $120,000? (Round to the closest year.

Answers

Around 5 years.

Hope this helps. Please consider making me the Brainliest, it’s not necessary, but it’s appreciated. Have a great day, stay safe and stay healthy.

Lainey is looking for a new apartment and her realtor keeps calling her with new listings. The calls only take a few minutes, but a few minutes here and there are really starting to add up. She's having trouble concentrating on her work. What should Lainey do? a) Tell her realtor she can only receive text messages O b) Limit the time spent on each call O c) Turn off her phone until she is on a break O di Call her realtor back when customers won't see her on the phone

Answers

Answer:

Tell her realtor she can only receive text messages

Step-by-step explanation:

Find the distance from point A (0,5) to the line y = -3x - 5. Round to the nearest tenth

Answers

Answer:

3.2

Step-by-step explanation:

Substitute in the equation:

|(mx1-y1+b)| / √(m2 + (1)2) =

= |(0+-5+-5)| / √(9 + 1)

Sum and operate:

|-10| / √10 = 10 / √10

Exact solution is:

√10

Approximate solution is:

3.2

Answered by GAUTHMATH

Frank sold 6,859 books in one year and 8,541 books in the next year. How many books did she sell altogether?

Answers

Answer:

15400 books

Step-by-step explanation:

in the first year he sold =6859 books

in the second year he sold =8541 books

therefore, to find the book he sold altogether

6859+8541

= 15400 books altogether

Answer:

15400 books altogether.

Explanation:

Books sold in 1st year: 6859

Books sold in 2nd year: 8541

Total books sold:

                            6859 + 8541 = 15400.

A number is chosen at random from 1 to 50. What is the probability of selecting
multiples of 10.

Answers

Answer: 25

Step-by-step explanation:

What is the range of this graph ?

Answers

Answer:

D. 6

Step-by-step explanation:

Range of any data set is the difference between the maximum value and the minimum value.

From the graph given above, the least data value plotted on the graph is 1.

Minimum value = 1

The maximum data value = 7

The range of the data set = max - min

Range = 7 - 1

Range = 6

So for this problem I have completed most of it however, I am just missing the last box. Can someone help me on the last box please? Thank you for your help!

Answers

Let X be the random variable representing the weight of a randomly selected widget. You're given that the mean and standard deviation of X (which is normally distributed) are 41 oz and 11 oz, respectively.

Then

Pr[X > 19] = Pr[(X - 41)/11 > (19 - 41)/11] = Pr[Z > -2]

where Z follows the standard normal distribution with mean 0 and s.d. 1.

I assume you're familiar with the 68-95-99.7 rule, the important part of which says that approximately 95% of any normal distribution lies within 2 standard deviations of the mean. Mathematically, this is to say

Pr[-2σ < X < 2σ] ≈ 0.95

where σ is the s.d. of X, or in terms of Z,

Pr[-2 < Z < 2] ≈ 0.95

This means that roughly 5% of the distribution falls outside this range:

Pr[(Z < -2) or (Z > 2)] = 1 - Pr[-2 < Z < 2] ≈ 0.05

and because the distribution is symmetric about its mean, the probability of falling within either tail of the distribution is half of this, or roughly 2.5%

Pr[Z < -2] ≈ 0.05/2 ≈ 0.025

Then the probability of the complement is

Pr[Z > -2] = 1 - Pr[Z < -2] ≈ 1 - 0.025 ≈ 0.975

so that Pr[X > 19] ≈ 97.5%.

Exhibit 9-2 The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in the sample to check out was 3.1 minutes. The population standard deviation is known to be 0.5 minute. We want to test to determine whether or not the mean waiting time of all customers is significantly more than 3 minutes. Refer to Exhibit 9-2. At a .05 level of significance, it can be concluded that the mean of the population is _____.

Answers

Answer:

At a .05 level of significance, it can be concluded that the mean of the population is significantly more than 3 minutes.

Step-by-step explanation:

We want to test to determine whether or not the mean waiting time of all customers is significantly more than 3 minutes.

At the null hypothesis, we test if the mean is of at most 3 minutes, that is:

[tex]H_0: \mu \leq 3[/tex]

At the alternative hypothesis, we test if the mean is of more than 3 minutes, that is:

[tex]H_1: \mu > 3[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

3 is tested at the null hypothesis:

This means that [tex]\mu = 3[/tex]

The manager of a grocery store has taken a random sample of 100 customers. The average length of time it took the customers in the sample to check out was 3.1 minutes. The population standard deviation is known to be 0.5 minute.

This means that [tex]n = 100, X = 3.1, \sigma = 0.5[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{3.1 - 3}{\frac{0.5}{\sqrt{100}}}[/tex]

[tex]z = 2[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean above 3.1, which is 1 subtracted by the p-value of z = 2.

Looking at the z-table, z = 2 has a p-value of 0.9772.

1 - 0.9772 = 0.0228

The p-value of the test is of 0.0228 < 0.05, meaning that the is significant evidence to conclude that the mean of the population is significantly more than 3 minutes.

P(A) = 1/2
P(B) = 1/3
PIAN B) = 1/6
Find P(AUB)

Answers

[tex]P(A\cup B)=P(A)+P(B)-P(A\cap B)[/tex]

so that P(A U B) = 1/2 + 1/3 - 1/6 = 2/3

what is the vertex of the quadratic function below? y=x^2-8+1

Answers

9514 1404 393

Answer:

  (4, -15)

Step-by-step explanation:

We assume you want the vertex of ...

  y = x² -8x +1

We can add and subtract 16 to complete the square.

  y = x² -8x +16 +1 -16

  y = (x -4)² -15

Compare to the vertex form ...

  y = (x -h)² +k . . . . . . . quadratic with vertex (h, k)

We see that the vertex of the given function is ...

  (h, k) = (4, -15)

The FDA regulates that fish that is consumed is allowed to contain 1.0 mg/kg of mercury. In Florida, bass fish were collected in 53 different lakes to measure the amount of mercury in the fish. The data for the average amount of mercury in each lake is in the given table ("Multi-disciplinary niser activity," 2013). Do the data provide enough evidence to show that the fish in Florida lakes has more mercury than the allowable amount? Test at the 10% level. Use the framework below to guide your work. Hypotheses:
H0 : u = 1.0 mg/kg
HA: ul > 1.0 mg/kg
Test statistic = -10.09 p-value is approximately 1, would report 0.9999. Since this is not less than or equal to 0.10, we do not favor Ha. We would conclude that there is not enough evidence to show that the mean amount of mercury in fish in Florida lakes is more than the allowable amount Why is the p-value so high when the test statistic seems extreme?
A. The alternative is > so the p-value matches the area to the left. Since the TS is negative, this results in shading most of the curve.
B. The TS is negative so the p-value matches the area to the left and results in a very small area. This p-value reported is not correct.
C. The alternative is > so the p-value matches the area to the right. Since the TS is negative, this results in shading most of the curve.
D. The TS should be positive so the p-value matches the area to the left and results in shading most of the curve.

Answers

Answer:

Step-by-step explanation:

H0 : u = 1.0 mg/kg

HA: u > 1.0 mg/kg

Test statistic = -10.09

p-value is approximately 1, would report 0.9999

α = 10% ; 0.1

Using the Pvalue, we can make a decision pattern ;

Recall ; H0 is rejected If Pvalue < α

Here,

Pvalue Given is ' 0.99999 α = 0.1

Pvalue > α ; Hence, we fail to reject the Null ;

The actual Pvalue calculated using the test statistic will be :

Pvalue(-10.09) with test statistic value using a Pvalue calculator

Pvalue < 0.00001

please do asaaaaapppp​

Answers

Answer:

D. y ≤ 2 and y ≤ x

If 3^2x+1 =3^x+5, what is the value of x?

Answers

Answer:

x = 4

Step-by-step explanation:

[tex]3^{2x+1} = 3^{x+5}[/tex]

if the bases are equal then the powers must be equal as well

2x+ 1 = x+5 export like terms to same side of equation

2x - x = 5 - 1 add/subtract like terms

x = 4

20 POINTS please explain well

Answers

The difference of course is the symbol between the f and g letters.

The circle [tex]\circ[/tex] notation means we're doing a function composition.

Writing [tex](f \circ g)(x)[/tex] is the same as saying [tex]f(g(x))[/tex] where g is the inner function.

Here's an example

f(x) = x^2

g(x) = 3x

f( g(x) ) = ( g(x) )^2 ... note how x is replaced with g(x)

f( g(x) ) = ( 3x )^2

f( g(x) ) = 9x^2

-------------------

On the other hand, the dot notation means we multiply the f(x) and g(x) functions.

Going back to the previous example, we could say

[tex]f(x) = x^2\\\\g(x) = 3x\\\\(f \cdot g)(x) = f(x)*g(x)\\\\(f \cdot g)(x) = x^2*3x\\\\(f \cdot g)(x) = 3x^3\\\\[/tex]

help me with this please! I don’t understand

Answers

Answer:

40/41

Step-by-step explanation:

tanB=opposite length/adjacent length

tanB=40/41

Determine the percentage of all samples of three men that have mean brain weights within 0.1 kg of the population mean brain weight of kg. Interpret your answer in terms of sampling error

Answers

Answer:

The result indicates that the percentage of all samples of three men that have mean brain weights within (1.24 * sampling error) of the mean is 78.50%.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

According to one study, brain weights of men are normally distributed with mean = 1.20 kg and a standard deviation = 0.14 kg.

Determine the percentage of all samples of three men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.20 kg. Interpret your answer in terms of sampling error.

The explanation of the answers is now provided as follows:

Based on the Central limit theorem, it possible to say that the mean of sampling distribution (μₓ) is approximately equal to the population mean (μ) as follows:

μₓ = μ = 1.20 kg …………………………. (1)

Also, the standard deviation of the sampling distribution can be written as follows:

σₓ = (σ/√N) ……………………….. (2)

Where:

σ = population standard deviation = 0.14 kg

N = Sample size = 3

Substituting the values into equation (2), we have:

σₓ = 0.14 / √3 = 0.0808

Since we are to determine the percentage of all samples of three men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.20 kg, this implies that we have:

P(1.10 ≤ x ≤ 1.30)

Therefore, 1.10 and 1.30 have to be first normalized or standardized as follows:

For 1.10 kg

z = (x - μₓ) / σₓ = (1.10 - 1.20) / 0.0808 = -1.24

For 1.30 kg

z = (x - μₓ)/σₓ = (1.30 - 1.20) / 0.0808 = 1.24

The required probability can be determined when P(1.10 ≤ x ≤ 1.30) = P(-1.24 ≤ z ≤ 1.24).

From the normal distribution table, the following can be obtained for these probabilities:

P(1.10 ≤ x ≤ 1.30) = P(-1.24 ≤ z ≤ 1.24) = P(z ≤ 1.24) - P(z ≤ -1.24) = 0.89251 - 0.10749 = 0.7850, or 78.50%

Therefore, the sampling error is equal to 0.0808 which is the standard deviation of the sampling distribution.

In terms of the sampling error, the result indicates that the percentage of all samples of three men that have mean brain weights within (1.24 * sampling error) of the mean is 78.50%.

What is the value of x

Answers

The triangle is formed by using the diameter as its base, so angle opposite to the diameter, i.e., ∠QRS = 90°

Given that QR and SR are equal, so it is an isosceles triangle. Hence, ∠RQS and ∠RSQ are equal. Hence, ∠RSQ = x + 6° because given that ∠RQS = x + 6°.

We know that all angles of a triangle adds up to 180°.

So, (x+6°) + (x+6°) + 90° = 180°

=> 2(x+6°) + 90° = 180°

=> 2(x+6°) = 180° - 90°

=> 2(x+6°) = 90°

=> 2x + 12° = 90°

=> 2x = 90° - 12°

=> 2x = 78°

=> x = 78°/2

=> x = 39°

In one year, profit fell from $1.73 billion to $1.18 billion. What was the percent decrease in profit?​

Answers

Answer:

31.7919075 % decrease

Step-by-step explanation:

To find the percent decrease

Take the original amount and subtract the new amount

1.73 billion - 1.18 billion =.55 billion

Divide by the original amount

.55 billion / 1.73 billion

.317919075

Change to percent form

31.7919075 % decrease

Add 2/5, 3/10 and 1/2. Give your answer as a mixed number

Answers

Answer:

I hope this will help you

Write in words 127075

Answers

Answer:

one lakh twenty seven thousand and seventy five

I hope this will help you

Find a fraction equivalent to
that has a denominator of 10.

Answers

Answer:

1/10

Step-by-step explanation:

any number (1-9) as the number above the fraction line (numerator) with the number 10 below the fraction line is a fraction with a denominator of 10.

if it was 10/10, it will = 1

Find the minimum and maximum value of the function on the given interval by comparing values at the critical points and endpoints.

y= √1+x^2 −2x, [0, 1]

Answers

Answer:

maximum: y = 1

minimum: y = 0.

Step-by-step explanation:

Here we have the function:

y = f(x) =  √(1 + x^2 - 2x)

we want to find the minimum and maximum in the segment [0, 1]

First, we evaluate in the endpoints, which are 0 and 1.

f(0)  =√(1 + 0^2 - 2*0) = 1

f(1) = √(1 + 1^2 - 2*1) = 0

Now let's look at the critical points (the zeros of the first derivate)

To derivate our function, we can use the chain rule:

f(x) = h(g(x))

then

f'(x) = h'(g(x))*g(x)

Here we can define:

h(x) = √x

g(x) = 1 + x^2 - 2x

Then:

f(x) = h(g(x))

f'(x)  =  1/2*( 1 + x^2 - 2x)*(2x - 2)

f'(x) = (1 + x^2 - 2x)*(x - 1)

f'(x) = x^3 - 3x^2 + x - 1

this function does not have any zero in the segment [0, 1] (you can look it in the image below)

Thus, the function does not have critical points in the segment.

Then the maximum and minimum are given by the endpoints.

The maximum is 1 (when x = 0)

the minimum is 0 (when x = 1)

I put 22.5 but it won’t work is there any other way for this to work??

Answers

Try rounding off your answer

When two balanced dice are rolled, find the probability that either doubles or the sum of 6.

Answers

[tex]\huge{\underline{\mathtt{\red{A}\pink{N}\green{S}\blue{W}\purple{E}\orange{R}}}}[/tex]

We know, the probability of an event = Favorable outcomes / Total outcomes.

In a case of two dices,

Total outcomes = 6 × 6 = 36

A.T. Q favorable outcome is a sum of 6,

Ways of obtaining a sum of 6

(1,5), (5,1), (2,4),(4,2) and (3,3). Total 5 ways in which 6 can be obtained using two dices.

Therefore, required probability (P),

P = 5/ 36

Other Questions
The overall order of an elementary step directly corresponds to its molecularity.a. Trueb. False A pharmaceutical company conducted an experiment to test a drug for managing morning sickness for school children. Thecompany enrolled students for the experiment in the age group of 10 to 15 and divided them into two groups. One groupreceived sugar pills and the other group received pills that have compounds to manage morning sickness. Which groupreceives the placebo? Westside Manufacturing Co.'s budget at 6,000 units of production includes $36,000 for direct labor and $3,000 for electric power. Total fixed costs are $33,000. At 7,000 units of production, a flexible budget would show: Group of answer choices variable and fixed costs totaling $45,375 variable costs of $39,000 and $33,875 of fixed costs variable costs of $45,500 and $33,000 of fixed costs variable costs of $44,000 and $33,000 of fixed costs How many Hydrogen (H) Atoms are in Methylene? Markets may have difficulty providing the proper quantity of a public good because Group of answer choices individuals will tend to become free riders, and private firms will have difficulty generating enough revenue to produce an efficient quantity of the good. the good generally has a very large value to consumers relative to its cost of production. the good is one that tends to benefit a large number of people. the large profit involved in the production of a public good is generally too much for private firms to effectively pay out to shareholders. Read the passage. (1) The umbrella dates back more than 3,000 years to Mesopotamia. (2) That ancient land was located in the Middle East. (3) The Middle East is a hot and sunny part of the world. (4) Royalty there demanded protection from the sun. (5) People developed the umbrella for this purpose. (6) Use of the umbrella as a sunshade then spread to ancient Europe. (7) In fact, if you analyze the origin of the word umbrella,you will see that it reflects the umbrellas original purpose. (8) Umbrella comes from the Latin word umbra. (9) Umbra means shade. (10) Eventually, the Romans used the umbrella to protect themselves from the rain. (11) They used the umbrella to protect themselves from the sun as well. (12) Today, umbrellas are used mainly as raingear. Which is the most effective way to combine sentences 10 and 11? Eventually, the Romans used the umbrella to protect themselves from the rain as well as the sun. Eventually using the umbrella as protection from the rain as well as the sun, the Romans. Eventually, the Romans using the umbrella to protect themselves from the rain as well as the sun. Eventually, the Romans used for protection from the rain as well as the sun, the umbrella. What was a common export of the Americas in the 1500s? horses disease fruit gold pllllllssssss helpooppppp Explica como crees que se origin la vida sobre el planeta tierra I wasn't successful in _____ him understand why I had to leave.a.madeb.make I have 3 questionssssA and T are supplementary. Given mT = (7x+11) and mA = (8x+19), what is mT? The other two are in the pics attached! PLS! Extra Credit: The people of the Philippines are no stranger to typhoons and yet most people were caught off guard when the typhoon Haiyan struck and caused unprecedented number of casualties. The main reason for this was due to:_____.a. extremely strong winds that destroyed homes.b. massive flooding caused by extremely rapid and high storm surges.c. very strong rate of rainfall that triggered massive landslides.d. massive amounts of rainfall that led to dam failures throughout the Philippines. 1 1/5 + 17/2 - 3/2 Helppppp You were invited to a movie premier in which the president was the guest of honor, somewhere along the line there was the murder. You were invited by a media house to describe what happened on that day. James Madison is the father of the constitution True?Or false? a) The nth term of a sequence is given by 3n + 5. Write down the first four terms of the sequence. Suppose that labor is the only variable input to the production process. If the marginal cost of production is diminishing as more units of output are produced, what can you say about the marginal product of labor? If the marginal cost of production is diminishing as more units of output are produced, then the marginal product of labor (NECESITO PROCEDIMIENTO)9x + 8 = 7x + 6 X= -1X= 1/3X= 1 Simplify 3000x 35% /100 what is the type of plateau