3 to the power of what gives you 81

6

(4=8 so 8+4=12 which means, the answer is 2 because we can´t do 16, which is 8+8. But we can split the 4 in half since 4 is half of 8.)

Answer:

3000

Step-by-step explanation:

We have two right-angled triangles that share a common side, with side lengths 6 and 10. Let's label the sides of the triangles as follows:

Triangle 1:

Side adjacent to the right angle: 6 (let's call it 'a')

Side opposite to the right angle: x (let's call it 'b')

Triangle 2:

Side adjacent to the right angle: x (let's call it 'c')

Side opposite to the right angle: 10 (let's call it 'd')

Using the Pythagorean theorem, we can write the following equations for each triangle:

Triangle 1:\(a^2 + b^2 = 6^2\)

Triangle 2: \(c^2 + d^2 = 10^2\)

Since the triangles share a common side, we know that b = c. Therefore, we can rewrite the equations as:

\(a^2 + b^2 = 6^2\\b^2 + d^2 = 10^2\)

Substituting b = c, we get:

\(a^2 + c^2 = 6^2\\c^2 + d^2 = 10^2\)

Now, let's add these two equations together:

\(a^2 + c^2 + c^2 + d^2 = 6^2 + 10^2\\a^2 + 2c^2 + d^2 = 36 + 100\\a^2 + 2c^2 + d^2 = 136\)

Since a^2 + 2c^2 + d^2 is equal to 136, we can conclude that x (b or c) is between 11 and 12

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The area of a page of the book, "flowers of the four seasons". would be = 5.6× 10^-⁷ m²

To calculate the area of a book, the length and weight of the book must be determined which is then multiplied to give it's area in square metres or mm².

The number of pages that makes up the book, "flowers of the four seasons". = 22 pages.

Since the book has a square shape, the length and width is the same = 0.75 mm

To convert 0.75 mm to meter, divide by 1000= 0.00075m

The area of a page = Length× width = 0.00075×0.00075

= 0.0000005625= 5.6× 10^-⁷ m²

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Answer:

  Slope = 7/4

Step-by-step explanation:

You are given coordinate values and a formula that tells you what to do with them. All you need to do is put the values in the formula and do the arithmetic.

You are given points (2, -3) and (6, 4). The slope formula refers to the two points as (x1, y1) and (x2, y2). It does not matter which is which.

If we use the points in the same order they are given, then we can see that ...

Using these values in the given formula, we find the slope to be ...

  \(m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{4-(-3)}{6-2}=\dfrac{7}{4}\)

The slope of the line through the given points is 7/4.

The equation that represent the relationship of the coffees is 3x + 5y = 68.

At a coffee shop, two sizes of coffee are sold. A medium coffee costs $3, and a large coffee costs $5.

The equation that represent the relationship between the number of medium coffees sold, x, and the number of large coffees sold, y, in an hour where sales totalled $68 is as follows:

where

Therefore, the equation is as follows:

3x + 5y = 68

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the probability of receiving 8 calls in a 13-minute interval.

To compute the probability of receiving 8 calls in a 13-minute interval, we can use the Poisson distribution. Given that calls arrive at a rate of 45 per hour, we need to adjust this rate to match the 13-minute interval.

First, we convert the rate to calls per minute by dividing 45 by 60 (since there are 60 minutes in an hour). This gives us a rate of 0.75 calls per minute.

Next, we use the formula for the Poisson distribution to calculate the probability. The formula is P(x; λ) = (e^(-λ) * λ^x) / x!, where x is the number of events (calls in this case) and λ is the average rate of events per interval.

Substituting the values into the formula, we have P(8; 0.75 * 13). Evaluating this expression will give us the probability of receiving 8 calls in a 13-minute interval.

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The probability that none of the 4 light bulbs work is 0.0256, or approximately 2.56%.

Since each light bulb works independently of the others, we can treat the outcome of each bulb as a Bernoulli trial with a probability of success (working) p = 0.6 and a probability of failure (not working) q = 0.4.

To find the probability that none of the 4 light bulbs work, we need to find the probability of having 0 successful trials out of 4. This can be calculated using the binomial distribution:

P(X=0) = (4 choose 0) * (0.6)^0 * (0.4)^4 = 0.4^4 = 0.0256

Where (4 choose 0) is the number of ways to choose 0 successful trials out of 4, which is 1.

In summary, we can use the binomial distribution to find the probability that none of the 4 light bulbs work, since each bulb works independently of the others. Using this method, we find that the probability is 0.0256 or approximately 2.56%.

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Step-by-step explanation:

I think...

18×9=9×18

hope it helps

Using the simulation to represent the vector, the car's speed in the north direction is approximately 9.225 miles/hour.

Using the simulation, the car's speed in the east direction is approximately 17.126 miles/hour.

To calculate the components without using the simulation, we can use trigonometry. The compass reading of 36.9% north of east can be converted to an angle. The angle between the vector and the east direction is given by:

Angle = arctan(North component / East component)

Using this angle, we can determine the components of the vector. The north component is given by:

North component = (Speed) * cos(Angle)

The east component is given by:

East component = (Speed) * sin(Angle)

By substituting the values of the speed and angle, we can calculate the north and east components of the vector.

If you drove 10 miles east and then 8 miles south, and your friend drove 8 miles west and then 8 miles north, you would have formed a right triangle with sides of length 10 miles and 8 miles. The distance the homing pigeon would have to fly to get back to the dealership can be calculated using the Pythagorean theorem:

Distance = \(\sqrt((10 miles)^2 + (8 miles)^2)\)

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Answer:

18,000 meters

Step-by-step explanation:

We know:

Substitute:

{ v = 4      ⇒ INTO FORMULA ⇒ D = V × T : D = 4 × 24

{ t = 24

Cross out the common factor:

⇒ 6 × 3000

Calculate the product or quotient:

⇒ 18,000

Answer:

y-2=3(x+7) point-slope form

Step-by-step explanation:

y-2=3(x-(-7))

y-2=3(x+7)

Yuna wam 1.9 miles in the open ocean in two hours, starting off with an average speed of 1.4 mph but decreasing to 0.8 mph. This resulted in a total distance of 2.8 miles.

To calculate Yuna's total distance wimmed, we need to calculate the total time it took her to wim. She wam 1.9 miles in 2 hours, so her average peed for the entire wim wa 1.4 mph.

1.4 mph x 2 hours = 2.8 miles

Therefore, Yuna wam a total of 2.8 miles.

Yuna trained for a triathlon and wam 1.9 miles in the open ocean, which took her two hours. She started off with an average speed of 1.4 mph, but as she got tired and wam against the current her average speed decreased to 0.8 mph. In order to calculate the total distance wimmed, we need to calculate the total time it took her which can be done by multiplying her average speed of 1.4 mph by the two hours. This gives us a total distance of 2.8 miles, which means that Yuna wam a total of 2.8 miles.

Yuna wam 1.9 miles in the open ocean in two hours, starting off with an average speed of 1.4 mph but decreasing to 0.8 mph. This resulted in a total distance of 2.8 miles.

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Answer:

the middle

Step-by-step explanation:

Answer:

orange dot (G)

Step-by-step explanation:

D=1,1

E=5,4

G=0,0

F=0,-2

Answer:

Ok, so we have a square with sides of 14 inches. :)

The diagonal splits the square into two by the corners, so it forms two right triangles!

We can use the Pythagorean theorem on the right triangle to get:

14^2 + 14^2 = x^2

BTW, x is the length of the diagonal :)

So, 196 + 196 = x^2 = 392

Sooo, x is just the square root of 392 :)

\(\sqrt{392}\\\) = 19.7989898732, which rounds to 20

Answer:

initial value = 3  

 multiplier =4  

     # after 14 days = 3 * 4^(14-1)

        201 326592 beeltes      

Step-by-step explanation:

14 days     day 1 = 3 beetles

start with 3     quadruple it  = 12

3 *4   on day 2

3 *4 *4    on day 3

.

.

.

3 * 4^(14-1)     = beetles on day 14   = a lot of beetles = 201 326 592   !

Mae's walking speed is 10 miles per hour. This is calculated by considering the given information.

Let's assume Mae's walking speed is represented by the variable "x" (in miles per hour). According to the given information, her jogging speed would then be "x + 12.5" miles per hour.

To calculate Mae's exercise time, we can use the formula: time = distance / speed.

Mae jogs 27 miles at a speed of "x + 12.5" miles per hour, so her jogging time can be calculated as:

jogging time = 27 / (x + 12.5)

Mae walks an additional 3 miles at a speed of "x" miles per hour, so her walking time can be calculated as:

walking time = 3 / x

The total exercise time is given as 3 hours. Therefore, we can set up the equation:

jogging time + walking time = 3

Substituting the calculated values, we get:

27 / (x + 12.5) + 3 / x = 3

To solve this equation, we can start by multiplying all terms by x(x + 12.5) to eliminate the denominators:

27x + 27 * 12.5 + 3(x + 12.5) = 3x(x + 12.5)

Simplifying the equation:

\(27x + 337.5 + 3x + 37.5 = 3x^2 + 37.5x\)

Combining like terms:

\(30x + 375 = 3x^2 + 37.5x\)

Rearranging the terms to set the equation equal to zero:

\(3x^2 + 7.5x - 375 = 0\)

To solve this quadratic equation, we can use the quadratic formula:

x = (-b ± √(\(b^2\) - 4ac)) / (2a)

In this case, a = 3, b = 7.5, and c = -375. Substituting these values into the quadratic formula:

x = (-7.5 ± √(\(7.5^2\) - 4 * 3 * -375)) / (2 * 3)

x = (-7.5 ± √(56.25 + 4500)) / 6

x = (-7.5 ± √(4556.25)) / 6

Calculating the square root:

x = (-7.5 ± 67.5) / 6

Simplifying further:

x = (60 / 6) or x = (-75 / 6)

Since Mae's walking speed cannot be negative, the solution is x = 10.

Therefore, Mae's walking speed is 10 miles per hour.

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The complete question is:

For exercise, Mae jogs 27 miles then walks an additional 3 miles to cool down. If her jogging speed is 12.5 miles per hour faster than her walking speed and her total exercise time is 3 hours, what is her walking speed? The athlete's walking speed is

Somebody better answer thing

Answer:

i. weight of wastage(kg) = 179.775 kg

ii. weight of rice cultivated = 765 kg - 179. 775 kg = 585.225 kg

percentage of rice cultivated = 100 - 23.5 = 76.5%

Step-by-step explanation:

A land of 1000 sq. meter  is used to cultivate 765 kg of rice with wastage of 23.5%.

i. The wastage in percentage is 23.5% but the weight of the wastage in weight is  23.5% of 765 kg

weight of wastage = 23.5/100 × 765

weight of wastage = 17977.5/100

weight of wastage(kg) = 179.775 kg

ii. weight and percentage of rice cultivated.

weight of rice cultivated = 765 kg - 179. 775 kg = 585.225 kg

percentage of rice cultivated = 100 - 23.5 = 76.5%

It will take Joe 5 hours to reach Chicago.

To calculate the time it will take for Joe to reach Chicago, we can use the formula:

Time = Distance / Rate

Given that Joe drives 325 miles at a constant rate of 65 mph, we can plug these values into the formula:

Time = 325 miles / 65 mph = 5 hours

The correct answer is:

C) 5 hrs.

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By following Bob's and Paul's age the required expression is                  4x + 2  =  3x - 1.

A mathematical expression is the combination of different numbers, letters, and mathematical operators.

There are basically two kinds of expressions that is numerical and alphabetical.

We are given the following in the question:

Let x be represent the Kim's age

"Bob is 4 years older than twice Kim's age"

Thus, Bob's age =

4x + 2 years

"Paul is 1 year younger than 3 times Kim's age."

Thus. Paul's age is

3x - 1 years

If Bob's age and Paul's age is equal, we can write:

4x + 2 years =  3x - 1 years

Thus, the required expression is

4x + 2  =  3x - 1

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The probability that a woman was wearing a belt given that she was also carrying a purse is 0.333 or 33.3%.

To find the probability that a woman was wearing a belt given that she was also carrying a purse, we need to use conditional probability.

We know that out of the 30 women observed, 18 were carrying purses and 6 were both carrying purses and wearing belts.

This means that the number of women carrying purses who were also wearing belts is 6.
Therefore, the probability that a woman was wearing a belt given that she was also carrying a purse is:
P(wearing a belt | carrying a purse) = number of women wearing a belt and carrying a purse / number of women carrying a purse
P(wearing a belt | carrying a purse) = 6 / 18
P(wearing a belt | carrying a purse) = 0.333
Given the information provided, we can determine the probability of a woman wearing a belt, given that she is also carrying a purse.

First, we need to find the number of women carrying a purse and wearing a belt, which is 6. There are 18 women carrying purses in total.
So, to find the probability, we will use the formula:
P(Belt | Purse) = (Number of women wearing belts and carrying purses) / (Number of women carrying purses)
P(Belt | Purse) = 6 / 18
P(Belt | Purse) = 1/3 or approximately 0.33
Therefore, the probability that a woman was wearing a belt, given that she was also carrying a purse, is 1/3 or approximately 0.33.

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Answer:

\(\displaystyle =\frac{0.5\text{ ft}}{\text{day}}\)

The weed grows at a rate of 0.5 feet per day.

Step-by-step explanation:

The weed grows at a rate of 0.25 inches per hour.

And we want to convert this rate into feet per day.

We have that:

\(\displaystyle \frac{0.25\text{ in}}{\text{hr}}\)

We knowt that there are 12 inches in one foot.

And since we want to cancel the inches, we can write our conversion factor as ft / 12 in.

We also know that there are 24 hours in one day.

And since we want to cancel the hours, we can write our conversion factor as 24 hr / day.

Hence:

\(\displaystyle \frac{0.25\text{ in}}{\text{hr}}\cdot\frac{\text{ft}}{12\text{ in}}\cdot \frac{24\text{ hr}}{\text{day}}\)

Multiply and cancel common terms. So:

\(\displaystyle =\frac{0.5\text{ ft}}{\text{day}}\)

The weed grows at a rate of 0.5 feet per day.

Answer:

1 dollar

Step-by-step explanation:

20% = .20(percentage to decimal conversion)

.20 * 5 = 1 or 5 * .20 = 1 either way works

Assume each member can be chosen for one position only, Then the choice for President is 30 choose 1 = 30. The number of ways can a 5-member committee be formed will be C. 142,506. This is caused by permutations and combinations.

How to calculate the value?

From the information, the Science Club has 30 members and needs to elect officers. They will need a President, Vice President, Secretary, treasurer, and historian.

Answer:

D

Step-by-step explanation:

ndndndnddndndnjdndjdjdjdjjddjdjdjdjddjjdjdd

Write the inequality for the statement and solve for v

It means that v is less than or equal to -4. The solution set for this inequality is:

we set -46λ = 0. This gives usλ = 0Thus, the value of λ such that a = 2 1 6 0 1 λ λ 0 4 is singular is `λ = 0`.

To determine the values of λ such that a = 2 1 6 0 1 λ λ 0 4 is singular we need to calculate its determinant and set it equal to zero. We can solve this by using a long answer as follows:Long Answer:We need to evaluate the determinant of the matrix `a`. The determinant of `a` is given by|a| = 2 × | 1 λ | − 1 × | 6 0 |+ 4 × | 1 λ |⇒ |a| = 2[1 × λ − λ × 0] − 1[6 × λ − 0 × 1] + 4[1 × 0 − λ × 6]|a| = 2λ − 24λ - 24λ|a| = -46λTo make the determinant zero,

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