Write 4^6 as a power of 2.

Answer:

23

Step-by-step explanation:

let me explain

we will reverse the operation

multiplication turns to division

\(161 \div 7 = 23 \\ 23 \times 7 = 161\)

hope it helps

Based on the equation that models the company's profit as P = 4x - 10,000, if 5,000 units are sold, the company's profit is $10,000.

The profit equation shows the difference between the revenue and the costs during a financial period.

The revenue is a product of the units sold and the number of units.

Profit, P = 4x - 10,000

Number of units sold = x

If 5,000 units are sold:

The profit = $10,000 (4 x 5,000 - 10,000)

Check:

Total revenue = $20,000 (4 x 5,000)

Unit selling price = $4

Number of units sold = 5,000

Total costs = $10,000

Thus, using the profit equation, the company generated a profit of $10,000 from selling 5,000 floats for children.

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Answer:st week he worked h hours at the concession stand and three times as many hours at the ticket ... How much did he make before the raise? ... Alice earns 1.5 times her hourly rate for each hour she works after 40 hours in a week. ... Dominic earns $18 an hour plus $25 an hour for every hour of overtime.

Step-by-step explanation:

The total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.

To determine the number of possible outcomes, we need to consider the number of outcomes for each event and then multiply them together.

1. Picking a marble: Let's assume there are n marbles to choose from. If there are n marbles, then the number of outcomes for this event is n.

2. Rolling a die: A standard die has 6 sides numbered 1 to 6. Therefore, the number of outcomes for this event is 6.

3. Picking a card: A standard deck of cards has 52 cards. Hence, the number of outcomes for this event is 52.

To find the total number of possible outcomes, we multiply the number of outcomes for each event together:

Total number of outcomes = (number of outcomes for picking a marble) × (number of outcomes for rolling a die) × (number of outcomes for picking a card)

Total number of outcomes = n × 6 × 52

Therefore, the total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.

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The base of the function given 2(4)ˣ+5 is 4ˣ

The base of an exponential function. If f(x) = ax, then we call a the base of the exponential function. The base must always be positive. Base 1. If f(x) is an exponential function whose base equals 1 – that is if f(x)=1x.

Given is a function, 2(4)ˣ+5, we need to find the base of the function,

With the multiplication of 4ˣ with 2, the rate at which f(x) changes is 2 times larger. Now it is added by 5, by adding 5 the value of f(x) is always 5 greater than the value of f(x).

This reverses the value of y for each corresponding value of x and increases the rate at which f(x) changes 8 times that of the original function.

Hence, the base of the function given 2(4)ˣ+5 is 4ˣ

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Answer:

It's weight. A is right.

Answer:

A) Weight

Step-by-step explanation:

Think about what "pull of gravity" means. What force pulls you toward the center of the earth because of gravity? Weight of course.

Answer:

A

Step-by-step explanation:

The opposite of 6 IS -6

The length of the arc defined by the central angle of 312 degrees is 26π cm.

The formula for the arc length of a circle is given by:

L = (θ/360) × 2πr

where L is the length of the arc, θ is the central angle in degrees, and r is the radius of the circle.

Substituting the given values, we get:

L = (312/360) × 2π(30)

L = (26/30) × π × 30

L = 26π cm

Therefore, the length of the arc defined by the central angle of 312 degrees is 26π cm.

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Answer:

daymn

it's gonna be okay

As per the given ratio Mina's age is 12 years old.

Ratio in math is defined as shows how many times one number contains another.

Here we have given ratio information as written as

=> Lev's age : Mina's age = 1 : 2

And the ratio between is written as

=> Mina's age : Naomi's age = 3 : 4

Here we have given the condition that the sum of all three ages is written as,

=> Lev + Mina + Naomi = 30 to 50

Here let us consider Lev's age as L, Mina's age as M and Naomi's age as N

Then the ratio is calculated as,

=> L = 1/2M

=> N = 4/3M

And the sum of all value is written as

=> L + M + N = 30 to 50

When we apply the values on it, then we get,

1/2M + M + 4/3M = 30 to 50

When we simplify it by multiply all by 6, then we get

=> 3M + 6M + 8M = 180 to 300

=> 17M = 180 to 300

Therefore, here we have to find a number between 180 and 300 that divisible by 17 and 6.

So let us consider that that number is 204.

Then the value of M is calculated as,

=> 17M = 204

=> M = 12

Complete question:

Let us consider that suppose the ratio of lev's age to mina's age is 1 : 2 and the ratio of mina's age to Naomi's age is 3 : 4. if the sum of all three ages is between 30 and 50, then how old is mina?

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The general solution is a set of infinitely many solutions that satisfy the system. The augmented column of the RREF contains the coefficients of the variables that can be arbitrary, allowing for an infinite number of solutions.

The general solution provides a relationship between the variables that satisfies the system, but it does not give specific values for the variables. To find specific values, additional information, such as boundary conditions or initial conditions, is required

.i) This system of linear equations is inconsistent because the third equation, -3x1 + 7x2 = 37, contradicts the first equation, 4x1 - 7x2 = -33. This means that there is no solution that satisfies all three equations simultaneously.

(ii) (1) The conditions for the augmented column of the RREF to be the solution to the system is that the system must be consistent and the number of variables must equal the number of non-trivial (non-zero) rows in the RREF.

(2) In the case of a unique solution to a system with more equations than variables, the solution should be obtained by solving the system using a method such as Gaussian elimination or Gauss-Jordan elimination to reduce the system to its RREF. The values of the variables are then read off from the non-trivial rows of the RREF.

(3) In the case of a consistent system where there are more variables than equations, the information contained in the augmented column of the RREF is the general solution to the system

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A) 3.5 is the expectation of the relevant random variable.

B) 1.6202 is the standard deviation of the distribution.

In binomial distribution,

\(E(X) = np \\Var(X) = npq \\SD (X) = \sqrt{npq}\)

Where n is number of cards drawn

p is probability of getting one particular shape

\(q = 1-p\)

So from the question, \(n = 14\)

\(p = 13/52 = 1/4\\q = 1-(1/4) = 3/4\)

So,

A) \(E(x) = np = 14 * 1/4 = 3.5\)

B) \(SD (X) = \sqrt{npq} \\\)

\(= \sqrt{(14 * 1/4 * 3/4)} \\= \sqrt{42/16} \\= \sqrt{2.625} \\= 1.6202\)

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Correct question:

Suppose that we've decided to test Clara, who works at the Psychic Center, to see if she really has psychic abilities. While talking to her on the phone, we'll thoroughly shuffle a standard deck of cards (which is made up of hearts, spades, diamonds, and clubs) and draw one card at random. We'll ask Clara to name the suit (heart, spade, diamond, or club) of the card we drew. After getting her guess, we'll return the card to the deck, thoroughly shuffle the deck, draw another card, and get her guess for the suit of this second card. We'll repeat this process until we've drawn a total of cards and gotten her suit guesses for each.

Assume that Clara is not clairvoyant, that is, assume that she randomly guesses on each card.

Estimate the number of cards in the sample for which Clara correctly guesses the suit by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable). Do not round your response.

Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response to at least three decimal places.

The first equation is incorrect.

The second equation is correct.

The third equation is correct.

Let's go through each equation and determine whether it is correct or incorrect:

(b²+7b-9)+(4b-6b²) = -8b² + 14b-9

To determine if this equation is correct, we need to simplify both sides and check if they are equal.

On the left side:

(b²+7b-9)+(4b-6b²) = b² - 6b² + 7b + 4b - 9 = -5b² + 11b - 9

On the right side:

-8b² + 14b - 9

Comparing both sides, we can see that -5b² + 11b - 9 is not equal to -8b² + 14b - 9. Therefore, the equation is incorrect.

(4a+6)-(3a²-9a+1)=-3a²+ 13a +5

Again, we need to simplify both sides of the equation and check if they are equal.

On the left side:

(4a+6)-(3a²-9a+1) = 4a + 6 - 3a² + 9a - 1 = -3a² + 13a + 5

On the right side:

-3a² + 13a + 5

Comparing both sides, we can see that -3a² + 13a + 5 is equal to -3a² + 13a + 5. Therefore, the equation is correct.

(12c-8c²)+(5c²- 10c) = -3c²+2c

Again, let's simplify both sides and compare them.

On the left side:

(12c-8c²)+(5c²- 10c) = 12c - 8c² + 5c² - 10c = -3c² + 2c

On the right side:

-3c² + 2c

Comparing both sides, we can see that -3c² + 2c is equal to -3c² + 2c. Therefore, the equation is correct.

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Step-by-step explanation:

y intercept=(x=0)

7x-8y=8

7(0)-8y=8

-8y=8

y=8/-8

y=-1

Answer:

  subtracting 56 instead of adding (or adding wrong)

Step-by-step explanation:

She wrote ...

  x - 56 = 230

  x - 56 - 56 = 230 -56 . . . . correct application of the addition property*

  x = 230 -56 . . . . . . . . . . . . incorrect simplification

Correctly done, the third line would be ...

  x -112 = 174

This would have made Sherina realize that the error was in subtracting 56 instead of adding it. The correct solution would be ...

  x - 56 + 56 = 230 + 56 . . . using the addition property of equality

  x = 286 . . . . . . . . . . . . . . . . correct simplification on both sides

__

There were two errors:

  1) incorrect strategy --- subtracting 56 instead of adding

  2) incorrect simplification --- simplifying -56 -56 to zero instead of -112

We don't know whether you want to count the error in thinking as the first error, or the error in execution where the mechanics of addition were incorrectly done.

_____

* The addition property of equality requires the same number be added to both sides of the equation. Sherina did that correctly. However, the number chosen to be added was the opposite of the number that would usefully work toward a solution.

Answer:

D: Sherina should have added 56 to both sides of the equation.

Step-by-step explanation:

I got a 100% on my test.

I hope this helps.

a) Let X represent the random variable of the number of Californians in the sample of 6 people who have been to Disneyland.

b) X is a binomial random variable because it records the number of successes (people who have been to Disneyland) in a fixed number of trials (6 people).

c) The probability =3.05.

d) The mean of X is 2.46.

e) The standard deviation of X is 1.2.

f) The probability 68.27%.

It is used to measure the spread of data around the mean or expected value.

a) Let X represent the random variable of the number of Californians in the sample of 6 people who have been to Disneyland.

b) X is a binomial random variable because it records the number of successes (people who have been to Disneyland) in a fixed number of trials (6 people).

c) The probability of exactly 3 people having been to Disneyland is 3.05.

This is calculated using the binomial probability formula:

P(x=3) = (6³) * (0.41³) * (0.59³)

= 3.05

d) The mean of X is 2.46. This is calculated using the binomial mean formula:

μ = n * p

= 6 * 0.41

= 2.46

e) The standard deviation of X is 1.2. This is calculated using the binomial standard deviation formula:

σ = √[n * p * (1 - p)]

= √[6 * 0.41 * (1 - 0.41)]

= 1.2

f) The probability that the number of Californians in the sample that have been to Disneyland is within one standard deviation of the mean is 68.27%.

This is calculated using the standard normal distribution z-score formula:

P(1.19<z<2.73) = 0.6827

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Using transformations, the vector that describes the translation that J underwent is:

(x,y) -> (x - 1, y + 2).

The vertices of the transformed figure K are given as follows:

(4,0), (6,0), (6,-1), (5,-1), (5,-2), (4,-2).

The rule for a reflection about the line y = x is given by:

(x,y) -> (y,x).

Hence, taking the vertices of figure K, the vertices of the translated figure were given by:

(0,4), (0,6), (-1,6), (-1,5), (-2,5), (-2,4).

The vertices of the original figure J are given as follows:

(1,2), (1,4), (0,4), (0,3), (-1,3), (-1,3).

Hence the vector rule from J to the translated figure is given as follows:

(x,y) -> (x - 1, y + 2).

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Both ;) Cat because i like Beluga ;)))

Dog because I like doge ;)

Answer:

555

Step-by-step explanation:

(357+452+589+602+775)/5

Step-by-step explanation:

I HAVE DONE AT HERE YOU HAVE ASK WHE\E *O PUT 120°

Answer: 80,304

Step-by-step explanation:

You are correct because in 8,304, the 8 is 8,000, and in 80,304, the 8 is 80,000.

8,000 x 10 = 80,000 so there you go. Also, the answer can be any 5 digit number with 8 as the ten thousands place(examples. 89,192, 83,026, 80,000)

According to the properties of the standard normal distribution, approximately 99.7% of the values lie within three standard deviations of the mean. Therefore, the answer is 99.7%.

To determine the percentage of videos on the streaming site that are between 264 and 489 seconds, we need to calculate the area under the normal curve within that range. Since the distribution is approximately normal with a mean of 264 seconds and a standard deviation of 75 seconds, we can use the properties of the standard normal distribution to find the desired percentage.

First, we need to convert the values 264 and 489 to z-scores, which represent the number of standard deviations a particular value is away from the mean. The z-score formula is given by:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get:

z1 = (264 - 264) / 75 = 0

z2 = (489 - 264) / 75 = 3

Next, we can use a standard normal distribution table or a calculator to find the area under the curve between z = 0 and z = 3. The area represents the percentage of videos falling within that range. The answer is 99.7% .

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Answer:

The mean of the sampling distribution of sample means is equal to the population mean, which is 5.3 years.

give thanks for more! your welcome!

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

slope=3-(-1)/4-(-2)=4/6=2/3

Answer:

7.3 units is the answer rounded

When A(-4,1) and B(3,-1), the length of AB is approximately 7.3 units.

The distance formula is a mathematical formula that is used to compute the distance between two points in a coordinate plane.

This formula is derived from the Pythagorean theorem, which states that the square of the length of the hypotenuse in a right triangle equals the sum of the squares of the lengths of the other two sides.

We can use the distance formula to find the length of AB:

\(d = \sqrt{ ((x2 - x1)^2 + (y2 - y1)^2)}\)

Where (x1, y1) = (-4, 1) and (x2, y2) = (3, -1)

d = sqrt(\((3 - (-4))^2 + (-1 - 1)^2\))

= sqrt(\(7^2 + (-2)^2\))

= sqrt(49 + 4)

= sqrt(53)

≈ 7.3 (rounded to one decimal place)

Therefore, the length of AB is approximately 7.3 units.

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Amplitude is the maximum displacement of a function on a graph.

Amplitude is the maximum displacement of a function on a graph. It refers to the maximum height or distance from the baseline of a wave or oscillation.

It is often used in physics and engineering to describe the strength or size of a signal, vibration, or wave. In simple terms, it can be thought of as the "peak-to-peak" distance of a waveform, or the height of the waveform above and below the baseline.

But the minimum displacement of a function on a graph would typically be referred to as the minimum value or the "valley" of the function.

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Answer:

Step-by-step explanation:

Median won't change, however Mean will fall by 180.

By summing all the numbers in a data collection and dividing by the total number of values in the set, one may get the mean (average) of the data set. When a data collection is sorted from least to largest, the median represents the midpoint value.

African elephants total 555 in number.

Elephants had a 3800 kg average mass.

Elephants had a 3600 kg median mass.

Lola, the elephant that was the smallest, weighed 2700 kg.

Later, Lola became really ill and lost a lot of weight, reaching a mass of 1800 kg.

What effect will Lola's weight loss have on the mean and median as well as Currently, the median is 3600 and the lowest is 2700.

now 2700 becomes 1800

so Median remains the same as 3600

No change in Median

The mean mass of the elephants was  3800 kg

=> total weight = 5 x 3800 = 19000 kg

2700 kg becomes 1800 kg

Hence new total mass = 19000 - 2700 + 1800 = 181000 kg

New Mean = 18100/5   = 3620  kg

Mean reduced by 3800 - 3620  = 180 kg

No change in Median weight

Mean reduced by 180 kg

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Answer:

$280

Step-by-step explanation:

7•40=$280