The surface of each crystal has an area of
1,000,000,000
square meters. Write this number using a negative
exponent.

Answer:

1 = 41

2 = 49

3 = 82

4 = 52

Step-by-step explanation:

Step-by-step explanation:

m<1 = 41

m<2 = 38

m<3= 79

m<4 = 52

Answer:

4/15

Step-by-step explanation:

2/5 drive

1/3 bus

and rest walk

fraction of those who walk is 1-(2/5+1/3)

2/5+1/3=(6+5)/15=11/15

15/15-11/15=4/15

we can use this equation to solve:

\(a = p(1 + \frac{r}{n} ) ^{nt} \)

a = final amount

p = initial amount

r = percentage increment (in decimal form)

n = amount of time interest is compounded

t= time (in years)

Since the guy w withdrew $300 and saw that his account still has $2021 left, he must have had $2321 in total.

5% interest is .05 in decimal form

since the account is compounded monthly, n=12

Because the account has been collecting interest for 3 months and t is supposed to be in years, dividing 3 by 12 will yield 1/4, or . 25

Answer:

C and E

Step-by-step explanation:

23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.

The expected value of x is (m+1)/2, and m must be a positive integer.

The expected value of x is the average value of x that we would expect to get if we selected an integer from the set {1, 2, ..., m} many times. To find the expected value of x, we multiply each possible value of x by its probability of being selected and then sum these products. In this case, each integer in the set {1, 2, ..., m} has an equal probability of being selected, so the expected value is (1 + 2 + ... + m) / m = (m(m+1)) / 2m = (m+1) / 2. So the expected value of x is (m+1)/2, and m must be a positive integer.

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Answer:

See below

Step-by-step explanation:

Part A

\(f(g(x))=f(\frac{x}{3})=3(\frac{x}{3})=x\\g(f(x))=g(3x)=\frac{3x}{3}=x\)

Since BOTH \(f(g(x))=x\) and \(g(f(x))=x\), then \(f\) and \(g\) are inverses of each other

Part B

\(f(g(x))=f(\frac{x+1}{2})=2(\frac{x+1}{2})+1=x+1+1=x+2\\g(f(x))=g(2x+1)=\frac{(2x+1)+1}{2}=\frac{2x+2}{2}=x+1\)

Since BOTH \(f(g(x))\neq x\) and \(g(f(x))\neq x\), then \(f\) and \(g\) are NOT inverses of each other

Answer:

x = 15

Step-by-step explanation:

\(4 + \frac{x}{3} = 9\)

\( \frac{x}{3} = 5\)

\(x = 15\)

Answer:

x = 15

Step-by-step explanation:

Subtract 3 from each side: 12 + x = 27

Subtract 12 from both sides: x =27 − 12

Subtract 12 from 27 to get 15: x = 15

Answer:

2500 student tickets

500 non-student tickets.

Explanation:

Let's call x the number of student tickets and y the number of non-student tickets.

Now, if the income was $10,000, the price of a student ticket was $3, and the price of the non-student ticket was $5 we can write the following equation:

3x + 5y = 10,000

Because 3x is the income for the student tickets and 5y is the income for the non-student tickets.

In the same way, if 3,000 tickets were sold, we can write the following equation:

x + y = 3000

Now, we need to solve the system of equations. So, solving for y, we get:

x + y - x = 3000 - x

y = 3000 - x

Then, substitute y = 3000 - x on the first equation to get:

3x + 5y = 10000

3x + 5(3000 - x) = 10000

Finally, solving for x, we get:

3x + 5(3000) - 5(x) = 10000

3x + 15000 - 5x = 10000

-2x + 15000 = 10000

-2x + 15000 - 15000 = 10000 - 15000

-2x = -5000

-2x/(-2) = -5000/(-2)

x = 2500

So, the value of y is:

y = 3000 - x

y = 3000 - 2500

y = 500

Therefore, they sold 2500 student tickets and 500 non-student tickets.

Answer:

An inequality sign is like an equal sign with a line through it

so, like, if you put = and / together

Answer:

<, >, =>, =<

Step-by-step explanation:

6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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The probability that a single can will contain 11.6 ounces or less of soda is 0.2843

The given parameters are:

x = 11.6

Mean = 12

Standard deviation = 0.7

Calculate the z value using:

\(z = \frac{x - \bar x}{\sigma}\)

This gives

\(z = \frac{11.6-12}{0.7}\)

z = -0.57

The probability is then calculated as:

P(x ≤ 11.6) = P(z ≤ -0.57)

Using the z table of probabilities, we have:

P(x ≤ 11.6) = 0.2843

In (a), the probability that a can contains 11.6 ounces or less is 0.2843

The probability that all cans in a pack contains 11.6 ounces or less is

P(6) = 0.2843^6

P(6) = 0.00053

In (a), the probability that a can contains 11.6 ounces or less is 0.2843

The probability that all cans in a case contains 11.6 ounces or less is

P(36) = 0.2843^36

P(36) ≈ 0

See attachment for the normal distributions

The summary of the graph is that, as the sample size increases the probability decreases

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The evaluated function values are g(-3) = 11, g(5) = 11, g(a) = 11 and g(a+h) = 11

A composite function is a function that results from combining two or more functions. It is created by using the output of one function as the input of another function.

The function g(x) is defined as g(x) = 11, which means that the output of the function is always 11, no matter what value of x is inputted.

i.e. the function g(x) = 11 always returns the value 11, regardless of the input.

Therefore, we have:

g(-3) = 11

g(5) = 11

g(a) = 11

g(a+h) = 11

So, regardless of the value of a or h, the function g(x) will always return 11.

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Answer:

The measure of the vertex angle is 94 degrees ⇒ A

Step-by-step explanation:

∵ In an isosceles triangle, the measure of the base angle = (2x + 5)

∵ The base angles of the isosceles triangles are equal in measures

∴ The measures of the base angles are (2x + 5), (2x + 5)

∵ The measure of the vertex angle = (5x - 1)

∵ The sum of the measure of the three angles = 180°

∴ (2x + 5) + (2x + 5) + (5x - 1) = 180

→ Add the like terms in the left side

∵ (2x + 2x + 5x) + (5 + 5 + -1) = 180

∴ 9x + 9 = 180

→ Subtract 9 from both sides

∴ 9x + 9 - 9 = 180 - 9

∴ 9x = 171

→ Divide both sides by 9 to find x

∴ x = 19

→ Substitute the value of x in the measure of the vertex angle to find it

∵ The measure of the vertex angle = 5x - 1

∴ The measure of the vertex angle = 5(19) - 1

∴ The measure of the vertex angle = 95 - 1

∴ The measure of the vertex angle = 94°

∴ The measure of the vertex angle is 94 degrees

Answer:

450 $ in tottle for every candle she sold.  

Step-by-step explanation:

Answer:

It is correct please I do not want yo sound rude can you give me brainliest answer.

Answer:

correct steps

Step-by-step explanation:

if asked to find angles in terms of the ratios, then don't forget to shift sin / cos / tan across the equal sign and change it to arc sin / cos / tan.

Answer:

Radius = 25.5 units

Diameter = 51 units

Step-by-step explanation:

r = radius of circle

d = Diameter of circle

  = \(2r\)

Circumference of circle = \(2\pi r\)

Substitute the provided value of the circumference:

                               \(51\pi = 2\pi r\)

r is to be isolated and made the subject of the formula:

                                 \(r = \frac{51\pi}{2\pi}\)

\(\pi\) in the numerator and denominator cancel each other outcompletely:

                                 \(r = \frac{51}{2}\)

                          ∴r = radius of circle = 25.5 units

This also means that:

\(d = 2r\)

\(d = 2(25.5)\)

∴d = Diameter of the circle = 51 units

Answer:

B

Step-by-step explanation:

(-5,4)

To get from B to A, the x value increases 5 and the y value increases 5, for every one unit increase in x, y also increases by 1. 1/5 of the way is 1/5 times 5 = 1. Just increase both x and y by 1 to get (-5, 4)

-6+1 = -5 = x and 3 + 1 = 4 = y (-5,4) is the point 1/5 of the way from B to A

Answer:

Step-by-step explanation:

output = y

input = x

y=-2x + 3

if you follow the pattern, the next input is 5 which will output -7

Answer:

Tell Sean i said thx

Step-by-step explanation:

but what's the question

Total number of people = 500

Let X denote the universal set.

Then n(X) = 500

Number of people who like tea = 285

Let T denote the number of people who like tea.

Then n(T) = 285

Number of people who like coffee = 195

Let C denote the number of people who like coffee.

Then n(C) = 195

Number of people who like lemon juice = 115

Let L denote the number of people who like lemon juice.

Then n(L) = 115.

We are given that the number of people who like tea and coffee is 45.

⇒ n(T ∩ C) = 45

We are also given that the number of people who like tea and juice is 70.

⇒ n(T ∩ L) = 70

Also, given that the number of people who like juice and coffee is 50.

⇒ n(L ∩ C) = 50

Given that 50 people do not like any drinks.

⇒ n(T U C U L)' = 50

n(T U C U L)' = n(X) - n(T U C U L)

⇒ 50 = 500 - n(T U C U L)

⇒ n(T U C U L) = 500 - 50 = 450

⇒ n(T U C U L) = 450

We have to find out how many people like all three drinks.

That is to find: n(T ∩ C ∩ L)

n(T U C U L) = n(T) + n(C) + n(L) - n(T ∩ C) - n(C ∩ L) - n(L ∩ T) + n(T ∩ C ∩ L)

⇒ 450 = 285 + 195 + 115 - 45 - 50 - 70 + n(T ∩ C ∩ L)

⇒ 450 = 595 - 165 + n(T ∩ C ∩ L)

⇒ 450 = 430 + n(T ∩ C ∩ L)

⇒ n(T ∩ C ∩ L) = 450 - 430

⇒ n(T ∩ C ∩ L) = 20

Therefore, the number of people who like all three drinks is 20.

Also, we need to find how many people like only one drink.

That is to find the sum: S = n(T only) + n(C only) + n(L only)

n(T only) = n(T) - n(T ∩ C) - n(L ∩ T) + n(T ∩ C ∩ L)

⇒ n(T only) = 285 - 45 - 70 + 20

⇒ n(T only) = 285 - 115 + 20

⇒ n(T only) = 170 + 20

⇒ n(T only) = 190

n(C only) = n(C) - n(T ∩ C) - n(L ∩ C) + n(T ∩ C ∩ L)

⇒ n(C only) = 195 - 45 - 50 + 20

⇒ n(C only) = 195 - 95 + 20

⇒ n(C only) = 120

n(L only) = n(L) - n(L ∩ C) - n(T ∩ L) + n(T ∩ C ∩ L)

⇒ n(L only) = 115 - 50 - 70 + 20

⇒ n(L only) = 115 - 120 + 20

⇒ n(L only) = 135 - 120

⇒ n(L only) = 15

Therefore, S = n(T only) + n(C only) + n(L only)

⇒ S = 190 + 120 + 15

⇒ S = 325

Therefore the number of people who like only one drink is 325.

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The sample should be taken to provide a 95% confidence interval is 200.

A confidence interval is made up of the mean of your estimate plus and minus the estimate's range. This is the range of values you expect your estimate to fall within if you repeat the test, within a given level of confidence.

Confidence is another name for probability in statistics.

Given the planning value for the population proportion,

probability, p = 0.25

q  = 1 - p = 1 - 0.25

q = 0.75

margin of error = E = 0.06

value of z at 95% confidence interval is 1.96,

the formula for a sample is,

n = (z/E)²pq

n = (1.96/0.06)²*0.25*0.75

n = 200.08

n = 200 approx

Hence sample size is 200.

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Answer: The equation of a line perpendicular to 2x + 2y = - 10 that passes through the point (6, 2) is y = x - 4

Two numbers that meet the condition are a = -10 and b = 2, and the quotient between these is larger than the product.

We have two numbers a and b with different sign.

Let's say that a is negative and b positive.

We know that the absolute value of a is divisible by the absolute value of b.

|a|/|b|

Then we have that |a| ≥ |b|

An example of two numbers that meet these conditions are:

a = -10

b = 2

Where:

|-10|/|2|  = 10/2 = 5

Now, the product between the integers will give a large negative number, in this case:

-10*2 = 20

and the quotient will give a smaller, in absolute value, negative number:

-10/2 = -5

Then we can see that the quotient is larger (as both are negative numbers, and the quotient is closer to zero).

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Step-by-step explanation:

\(y = 3x + 10......eq3 \\ 2(3x + 10) = 6x + 20 \\ 6x + 20 = 6x + 20\)

you can see that coming across that complication where the eqaution is balanced there is no solution for x and y fir those systems of equations.

By using simple interest we get after ten years balance is **$60**.

Simple interest is a type of interest that is calculated by using the principal (the amount of money that was initially invested) and the interest rate. Any interest that has accrued over time is not taken into consideration. For simple interest, use the formula:

I = Prt

where I = interest earned, P = principal, r = interest rate (in decimal form), and t = time (in years).

The interest rate can be calculated using the following basic interest formula:

I = Prt

where P is the principal (the starting balance), r is the interest rate (in decimal form), and t is the duration, and I is the interest earned. (in years).

The information in the table can be used to calculate the interest rate:

$42  -  $40 equals $2 in interest over a year.

$2 /  $40 equals 0.05 percent, or 5% interest.

Therefore, the account's interest rate is **5%**.

We can apply the formula to determine the balance after ten years:

A = P(1 + rt)

where P is the principle (the starting balance), r is the interest rate (in decimal form), and t is the period of time, and A is the balance after t years. (in years).

The information in the table allows us to determine that:

P = $40

r = 0.05

t = 10

A = $40(1 + 0.05 × 10) = **$60**

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Answer:

wheres it at?

Step-by-step explanation:

#Everything4Zalo

Answer:

yes, the Temperature is 5 F

Step-by-step explanation:

-3 + 8 = 5