What's the geometric mean of 4 and 4?

Answer:

the valu of x is 15 .....

Answer: Below

Step-by-step explanation:

So we can start off by solving this equation.

(x + 3)² = x² + 6x + 9

5(x² + 6x + 9) = 5x² + 30x + 45

5x² + 30x + 45 - 8 = 5x² + 30x + 37

Going off of this, we can already see that A is our answer.

Answer:

The monthly growth rate is 3.5%.

Step-by-step explanation:

The exponential growth function is given as follows:

\(y=a(1+r)^{x}\)

Here,

y = final value

a = initial value

r = growth rate

x = time taken

The provided expression for the monthly growth of membership in the new drama club at a school is:

\(f(x) = 12\cdot(1.035)^{x}\)

Comparing this function with the exponential growth function:

\(a(1+r)^{x}=12(1.035)^{x}\\\\a(1+r)^{x}=12(1+0.035)^{x}\)

Then value of r is 0.035 or 3.5%.

Thus, the monthly growth rate is 3.5%.

Answer:

87.2

if the next no is 5 and above you add 1 if it's not you don't add

Answer: 11/20

Step-by-step explanation: you take the original 60 cookies and take away the 12 and the 15 to get 33. The original whole number was 60/60. Now it would be 33/60, but in simplest form it is 11/20.

Answer:1/4

Step-by-step explanation:

1/4x3=3/4

1-3/4=1/4

Answer:

B. 1/4

Step-by-step explanation:

The cake is 1 whole or 4/4 total. If 3 people ate 1/4 then 3/4 of the cake was eaten. This leaves only 1/4 of cake left.

Hope it helps!

Answer:

23

Step-by-step explanation:

Answer: The answer is 121

Answer:

612.3 in.²

Step-by-step explanation:

Inner circle diameter = 34 in.

Inner circle radius = r = 17 in.

Outer circle diameter = 34 in. + 5 in. + 5 in. = 44 in.

Outer circle radius = R = 22 in.

The are of the ring is the area of the outer circle minus the area of the inner circle.

A = πR² - πr²

A = π(R² - r²)

A = 3.14[(22 in.)² - (17 in.)²]

A = 612.3 in.²

Answer:

B. "R is 85% of the original cost."

Step-by-step explanation:

The given equation is P - 0.15P = R, where P is the original cost of the shirt and R is the discounted price that Brandon paid.

Simplifying the equation, we get:

0.85P = R

Dividing both sides by P, we get:

0.85 = R/P

Therefore, the discounted price R is 85% of the original cost P.

So, the answer is (B) "R is 85% of the original cost."

Answer:

2 one liter containers :)

Step-by-step explanation:

(2.19)

Answer:

B

Step-by-step explanation:

Answer:

138

Step-by-step explanation:

its going down by 8's

so 8 times 33=264

402-264=138

Answer:

its not shwon btw

Step-by-step explanation:

Answer:

Step-by-step explanation:

Do you have a picture I can see?

The domain of (f / g)(x) is all real numbers except x = 0. In interval notation, it can be written as (-∞, 0) ∪ (0, ∞).

To find (f + g)(x), we need to add the functions f(x) and g(x):

f(x) = 5/(x + 6)

g(x) = x/(x + 6)

(f + g)(x) = f(x) + g(x) = 5/(x + 6) + x/(x + 6)

To combine the fractions, we need a common denominator, which is (x + 6):

(f + g)(x) = (5 + x)/(x + 6)

Next, let's find the domain of (f + g)(x). The only restriction on the domain would be any value of x that makes the denominator (x + 6) equal to zero. However, there is no such value in this case.

So, the domain of (f + g)(x) is all real numbers, or (-∞, ∞) in interval notation.

To find (f - g)(x), we need to subtract the function g(x) from f(x):

(f - g)(x) = f(x) - g(x) = 5/(x + 6) - x/(x + 6)

Again, we need a common denominator, which is (x + 6):

(f - g)(x) = (5 - x)/(x + 6)

Now, let's find the domain of (f - g)(x). As before, there are no restrictions on the domain.

So, the domain of (f - g)(x) is all real numbers, or (-∞, ∞) in interval notation.

To find (f * g)(x), we need to multiply the functions f(x) and g(x):

(f * g)(x) = f(x) * g(x) = (5/(x + 6)) * (x/(x + 6))

(f * g)(x) = 5x/(x + 6)²

Next, let's find the domain of (f * g)(x). In this case, the only restriction is that the denominator (x + 6) should not equal zero.

So, the domain of (f * g)(x) is all real numbers except x = -6. In interval notation, it can be written as (-∞, -6) ∪ (-6, ∞).

To find (f / g)(x), we need to divide the function f(x) by g(x):

(f / g)(x) = f(x) / g(x) = (5/(x + 6)) / (x/(x + 6))

(f / g)(x) = 5/(x)

Now, let's find the domain of (f / g)(x). The only restriction is that the denominator x should not equal zero.

So, the domain of (f / g)(x) is all real numbers except x = 0. In interval notation, it can be written as (-∞, 0) ∪ (0, ∞).

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A probability model gives information about the likelihood of different outcomes of a random event or experiment.

A probability model is a mathematical tool used to describe the likelihood of different outcomes in a random event or experiment. It provides information about the distribution of probabilities associated with the different possible outcomes, and can be used to make predictions about the likelihood of specific events occurring.

Probability models can be simple or complex, depending on the nature of the event or experiment being modeled, and can be used to make predictions in a wide range of fields, from finance to physics. By providing a framework for understanding the distribution of probabilities associated with different outcomes, probability models allow us to make informed decisions and assess risk in a variety of contexts.

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Answer:

Step-by-step explanation:

1.step. i^25^i

2.step. Rewrite (i^4)6^i=i^4

3.step. Rewrite (i^2)^2

4.step. ((i^2)^2)^6i

5.step. i^2 as -1

6.step. ((-1)^2)^6i

7.step. Raise −1 to the power of 2

i^6i

8.step.One to any power is one.

i1

9.step.Multiply i by 1.

ix1=i

Let there be N number of kernels in the bag.

Given that the number o

a. The probability of more than 4,000 acres being burned in any year is approximately 0.3957.

b. The probability of fewer than 3,000 acres being burned in any year is approximately 0.1423.

c. The probability of between 2,500 and 3,500 acres being burned in any year is approximately 0.3028.

d. The probability of help being needed in any year, given that more than 4,500 acres are burned, is approximately 0.1750.

a. We are given that the average number of acres burned per year is 3,800 acres with a standard deviation of 750 acres. We can use the normal distribution to calculate the probability of more than 4,000 acres being burned in any year.

To calculate this probability, we need to find the area under the normal curve to the right of 4,000 acres. We can standardize the value using the z-score formula:

z = (x - μ) / σ

where x is the value (4,000 acres), μ is the mean (3,800 acres), and σ is the standard deviation (750 acres).

Using the formula, we find the z-score:

z = (4,000 - 3,800) / 750 = 0.2667

Looking up the corresponding z-value in the standard normal distribution table or using a calculator, we find that the area to the right of z = 0.2667 is approximately 0.3957.

Therefore, the probability of more than 4,000 acres being burned in any year is approximately 0.3957.

b. Similarly, we can calculate the probability of fewer than 3,000 acres being burned in any year using the normal distribution.

To calculate this probability, we need to find the area under the normal curve to the left of 3,000 acres. We can standardize the value using the z-score formula:

z = (x - μ) / σ

where x is the value (3,000 acres), μ is the mean (3,800 acres), and σ is the standard deviation (750 acres).

Using the formula, we find the z-score:

z = (3,000 - 3,800) / 750 = -1.0667

Looking up the corresponding z-value in the standard normal distribution table or using a calculator, we find that the area to the left of z = -1.0667 is approximately 0.1423.

Therefore, the probability of fewer than 3,000 acres being burned in any year is approximately 0.1423.

c. To calculate the probability of between 2,500 and 3,500 acres being burned in any year, we need to find the area under the normal curve between these two values.

First, we standardize the values using the z-score formula:

z1 = (x1 - μ) / σ = (2,500 - 3,800) / 750 = -1.7333

z2 = (x2 - μ) / σ = (3,500 - 3,800) / 750 = -0.4

Next, we find the areas to the left of these z-scores using the standard normal distribution table or a calculator:

Area1 = 0.0418 (corresponding to z = -1.7333)

Area2 = 0.3446 (corresponding to z = -0.4)

To find the probability between these two values, we subtract the smaller area from the larger area:

Probability = Area2 - Area1 = 0.3446 - 0.0418 = 0.3028

Therefore, the probability of between 2,500 and 3,500 acres being burned in any year is approximately 0.3028.

d. To determine the probability of help being needed in any year when more than 4,500 acres are burned, we need to find the area under the normal curve to the right of 4,500 acres, given the average and standard deviation.

Using the same process as in part (a), we calculate the z-score:

z = (4,500 - 3,800) / 750 = 0.9333

Looking up the corresponding z-value in the standard normal distribution table or using a calculator, we find that the area to the right of z = 0.9333 is approximately 0.1750.

Therefore, the probability of help being needed in any year, given that more than 4,500 acres are burned, is approximately 0.1750.

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Answer:

can u please send the question again with clear picture of diagram?

From the equation of the elipse, we have that:

The equation of an elipse of center \((x_0,y_0)\) has the following format:

\(\frac{(x - x_0)^2}{a^2} + \frac{(y - y_0)^2}{b^2} = 1\)

If a > b, we have that:

In this problem, the equation is:

\(\frac{(x - 2)^2}{36} + \frac{(y + 3)^2}{24} = 1\)

Thus \(x_0 = 2, y_0 = -3, a = 6, b = \sqrt{24}\)

For the major axis:

\(x = x_0 \pm a\)

\(x = 2 \pm 6\)

\(x = 2 - 6 = -4\)

\(x = 2 + 6 = 8\)

The endpoints of the major axis are: \(x = -4\) and \(x = 8\)

For the minor axis:

\(y = y_0 \pm b\)

\(y = -3 \pm \sqrt{24}\)

\(y = -3 - \sqrt{24}\)

\(y = -3 + \sqrt{24}\)

The endpoints of the minor axis are: \(y = -3 - \sqrt{24}\) and \(y = -3 + \sqrt{24}\).

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Answer:

joaobezerra is right its just a bit confusing to understand but here you go

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since we are to construct the fence around the park, to determine the length of the fence, we will find the perimeter of the rectangular car park.

Perimeter of the car park = 2(Length  + Width)

Given

Width of car park = 12m

Length of the car park = 34 m

Substituting the given data into the formula;

Perimeter of the park = 2(12+34)

Perimeter of the park = 2(46)

Perimeter of the park = 92m

Hence the length of fence that should be ordered to guarantee that there will be enough to surround the car park is 92m

Answer:

96 pizzas

Step-by-step explanation:

Allan can make 8 pizzas in 15 minutes at the pizza restaurant where he works.

We are told that;

If the number of pizzas varies directly with minutes,

P ∝ M

P = kM

Hence:

8 = 15k

k = 8/15

How many pizzas can Allan make in 3 hours?

Convert 3 hours to minutes

1 hour = 60 minutes

3 hours = x

x = 3 × 60

x = 180 minutes

Hence,

M = 180 minutes

k = 8/15

P = kM

P = 8/15 × 180

P = 96 pizzas

Therefore, Allan can make 96 pizzas in 3 hours

Answer:

7

Step-by-step explanation:

Riya earns $45 in commission for selling 15 newspaper ads at $50 each.

A commission is a charge or payment given to a person or group in exchange for a good or service. When selling goods or services on behalf of a corporation, sales representatives or agents are frequently compensated with commissions in the business world. For instance, a stockbroker may receive a fee for carrying out a trade on behalf of a customer, while a real estate agent may receive a commission depending on the sale price of a property they assist in selling.

Riya receives a 6% commission for selling newspaper ads, and if she sells 15 ads for $50 each, her total earnings can be calculated as follows:

Total earnings = Total sales x Commission rate

The total sales from selling 15 ads at $50 each are:

Total sales = 15 x $50 = $750

The commission rate is 6%, which can be written as 0.06 as a decimal.

Plugging these values into the formula, we get:

Total earnings = $750 x 0.06 = $45

Therefore, Riya earns $45 in commission for selling 15 newspaper ads at $50 each.

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9514 1404 393

Answer:

  even integers differ by 2, consecutive integers differ by 1

Step-by-step explanation:

Often problems involving consecutive integers use a variable (x) to represent the least of them. In that situation, ...

   consecutive integers are x, x+1, x+2

   consecutive even (or odd) integers are x, x+2, x+4.

__

I often find it convenient to use the variable to represent the middle of the three integers. In that case, the representations are ...

  consecutive integers: x-1, x, x+1

  consecutive even (or odd) integers: x-2, x, x+2.

_____

In somewhat rare cases, you need to ensure that the integers are even, not odd, so the representation can be ...

  consecutive even integers: 2n, 2n+2, 2n+4 . . . . where n is any integer

The required annual interest rate interest is compounded quarterly is 2.34% (rounded to two decimal places).

a. The formula for compound interest rate is given by;\(A = P (1 + r/n)^(nt)\)

The percentage of the principal sum that is charged or earned as recompense for lending or borrowing money over a given time period is referred to as the interest rate. It stands for the interest rate or return on investment.

Where;P = initial principal or the investment amountr = annual interest raten = number of times compounded per year. t = the number of years. Annually:For an investment of $3000 and growth to $3500 in 6 years at an annual interest rate r compounded annually, we can write the formula as; \(A = P (1 + r/n)^(nt)3500 = 3000 (1 + r/1)^(1 × 6)\)

Simplifying the above expression gives;\(1 + r = (3500/3000)^(1/6)1 + r = 1.02371r = 0.02371\) or 2.37% per yearHence, the required annual interest rate interest is compounded annually is 2.37% (rounded to two decimal places).Quarterly:

For an investment of $3000 and growth to $3500 in 6 years at an annual interest rate r compounded quarterly, we can write the formula as;A =\(P (1 + r/n)^(nt)3500 = 3000 (1 + r/4)^(4 × 6)\)

Simplifying the above expression gives; 1 + r/4 = \((3500/3000)^(1/24)1 + r/4\) = 1.005842r/4 = 0.005842r = 0.023369 or 2.34% per year

Hence, the required annual interest rate interest is compounded quarterly is 2.34% (rounded to two decimal places).

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Answer:

RT is perpendicular to WS because when parallel lines are cut by a transversal, the corresponding angles are equal.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer: b

Step-by-step explanation: I took the test