Simplify this equation

SOLUTION

solve for x



-5/3n = -3​

cross - multiply we have:

-5 = 3 n X 3

-5 = 9n

Divide both sides by 9, we have;

n = -5 / 9

Answer:

It's C! ^^

Explanation:

I got it right <3

Answer:

the person below me is correct. its C

Step-by-step explanation:

Answer:

3.75

Step-by-step explanation:

60/16=3.75 if he made 16 loves, he uses 3.75 tablespoons in each loaf.

A) The equation for the amount of radiation as a function of time is:

R(t) = 7600 x \(e^{(-0.0855t)\)

B) The radiation will drop below 20 rads after 94.4 years.

C) The half-life of this substance is approximately 8.11 years.

We are given that the radiation R(t) in a substance decreases at a rate that is proportional to the amount present, that is, dR/dt = -kR, where k is the constant of proportionality, and t is the time measured in years.

A) To find the value of k, we can use the initial amount of radiation and the amount of radiation after three years.

Using the formula for exponential decay, we have:

R(t) = R0 x \(e^{(-kt)\)

where R0 is the initial amount of radiation.

Substituting t = 0 and t = 3 into this equation, we have:

7600 = R0 x \(e^{(0)\) => R0 = 7600

500 = 7600 x \(e^{(-3k)\) => k = 0.0855

Therefore, the equation for the amount of radiation as a function of time is:

R(t) = 7600 x \(e^{(-0.0855t)\)

B) To find when the radiation drops below 20 rads, we can set R(t) = 20 and solve for t:

20 = 7600 x \(e^{(-0.0855t)\) => t = 94.4 years

C) The half-life of a substance is the amount of time it takes for the radiation to decay to half of its initial value.

We can use the equation for R(t) to find the half-life:

R(t) = R0 x \(e^{(-kt)\) = 0.5R0

0.5 = \(e^{(-kt)\)

ln(0.5) = -kt

t1/2 = ln(2)/k = 8.11 years

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The given information suggests that the rate of radiation decrease in a substance is proportional to the amount present, with a constant of proportionality denoted by k. Using this equation, we can solve for the amount of radiation after a certain amount of time has passed.

For example, after three years, the radiation has decreased from 7600 rads to 500 rads. We can use this information to find the value of k and use it to predict when the radiation will drop below a certain level, such as 20 rads. To find the half-life of the substance, we can use the formula t1/2 = (ln2)/k, where ln2 is the natural logarithm of 2, and k is the constant of proportionality. This formula relates the time it takes for the radiation to decrease to half its initial value to the constant of proportionality. By understanding how radiation behaves in a substance, we can make informed decisions about how to handle radioactive materials in a safe and responsible manner.
The given equation R(t) = kR represents the rate of decrease in radiation, where R(t) is the radiation at time t, k is the constant of proportionality, and t is the time in years. We are given the initial radiation, R(0) = 7600 rads, and the radiation after 3 years, R(3) = 500 rads.
First, we find the constant k:
R(3) = k * 7600
500 = k * 7600
k ≈ -0.2105

Now, we can find the time t when the radiation drops below 20 rads:
20 = -0.2105 * R(t)
Solving for t, we get:
t ≈ 17.8 years

To find the half-life of the substance, we need to determine when the radiation is half of the initial amount (3800 rads):
3800 = -0.2105 * R(t_half)
Solving for t_half, we get:
t_half ≈ 3.39 years

In summary, the radiation will drop below 20 rads after approximately 17.8 years, and the half-life of the substance is approximately 3.39 years.

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-x² - x( 3 + 2√x) + 12  is the simplified form of the expression

x-2√x ³ - x² - 4x+12.

Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.

Given an expression that needs to be rewritten in simplified form

Equation is:

=> x-2√x ³ - x² - 4x+12

Solving the square root

=> x - 2 * x√x - x²- 4x + 12

=> -x² +  x(-3 -2√x) + 12

=> -x² - x( 3 + 2√x) + 12

therefore,  -x² - x( 3 + 2√x) + 12  is the simplified form of the expression

x-2√x ³ - x² - 4x+12.

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The principal difference between economic profits for a monopolist and a competitive firm is that monopoly profits represent a transfer out of consumer surplus, while competitive profits do not. Additionally, monopoly profits are considered a deadweight loss, whereas competitive profits are not.

In a monopoly, the firm has control over the market and can set prices higher than the marginal cost of production. This leads to higher profits for the monopolist. However, these monopoly profits come at the expense of consumer surplus, which is the difference between what consumers are willing to pay for a product and what they actually pay. The transfer of surplus from consumers to the monopolist represents a loss of economic welfare and is considered a deadweight loss. On the other hand, in a competitive market, firms compete with each other, and profits are driven down to a level where they align with the marginal cost of production. In this case, there is no transfer of surplus from consumers, and competitive profits are not considered a deadweight loss.

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Answer:

Step-by-step explanation:

a:) Solve for b:

a = b/c^2

a = b/c^2 is equivalent to b/c^2 = a:

b/c^2 = a

Multiply both sides by c^2:

Answer: b = a c^2 = Dark Green

part 2) a = b/c^2 where a = 1/8, c = 4

b = 2

____________________________________________

b:) Solve for v:

-v + m = k

Subtract m from both sides:

-v = -m + k

Multiply both sides by -1:

Answer: v = m - k = Light blue

part 2) m - v = k where k = -7, m = -2

v = 5

__________________________________________

c:) Solve for q:

p/q = r/s

Take the reciprocal of both sides:

q/p = s/r

Multiply both sides by p:

Answer: q = (p s)/r = yellow

part 2) p/q = r/s where p = 14, r = -7, s = -4

q = 8

The statement that justifies the shape of the sampling distribution being approximately normal is np > 10 and n(1 - P) > 10. The correct answer is D).

In this case, "n" represents the sample size, and "p" represents the probability of success (winning a match in this context).

For a binomial distribution, the sample proportion follows an approximately normal distribution when both np and n(1 - P) are greater than 10.

In the given scenario, if we assume that the sample size is 60 and the probability of winning a match is 0.81 (81%), we can check if np and n(1 - P) are both greater than 10

np = 60 * 0.81 = 48.6

n(1 - P) = 60 * (1 - 0.81) = 11.4

Since both np > 10 and n(1 - P) > 10 are satisfied (48.6 > 10 and 11.4 > 10), we can conclude that the shape of the sampling distribution of the sample proportion is approximately normal. The correct option is D).

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--The given question is incomplete, the complete question is given below " Professional tennis player Serena Williams has a career win record of 81%. If we took a simple random sample of 60 of her matches, what is the probability that at least 50 would be wins? A USE SALT The shape of the sampling distribution of the sample proportion is approximately normal. Which of the following choices justifies that statement? a, The sample size is greater than 30. b, We have sampled less than 10% of the population. c, A random sample was taken. d, np > 10 and n(1-P)>10 "

Answer:

SHADED REGION = 104.06 m2

Step-by-step explanation:

First at all, the square area is:

A1= (22)*(22) = 484 m2

The are for one circle is:

A2 = PI*r2

A2 = (3.14)*(11)2

A2 = 379.94 m2

Then the other circle is the same A2

A2 = A3 = 379.94 m2

You need only half circle for to find the SHADED AREA

(A2)/2 = 189.97 m2

Finally, the SHADED AREA is:

SHADED AREA = A1 -((A2)/2)*2)

SA = 484 m2 - 379.94 m2

SA = 104.06 m2

Answer:

either of two angles whose sum is 90°.either of two angles whose sum is 180°.

Step-by-step explanation:

Answer:

Total cost: C(x) = 90,000 + 200x in dollars

C(100) = $110,000

This means that the total cost for the company when it produces 100 bikes would be $110,000

Step-by-step explanation:

First, you have a fixed cost, so you would start by setting C(x) to that:

C(x) = 90,000

Then, you have a cost of $200 PER bike that is made. The amount of bikes is represented by x. So you will have to multiply cost per bike by how many bikes are manufactured:

200x

Add this variable cost to the function underlined above.

C(x) = 90,000 + 200x

This is your function C(x).

Now for C(100), PLUG IN 100 for x:

C(100) = 90,000 + 200(100)

Multiply out:

C(100) = 90,000 + 20000

Then add these together to get the value:

C(100) = 110,000

This is the amount of money it would cost to make 110000 bikes, as interpreted above.

Answer:

Step-by-step explanation:

1.40x + 8 = 26

1.40x = 18

x = 18/1.40 = approximately 13 rides

Answer: 12

Step-by-step explanation:

26-8 = 18

18 / 1.4 = 12 ( rounding down)

Answer: Hilary can read 80 words in 1 minute. 80. If Hilary can Read 560 in 7 minutes and you want to find out One minute you can set up a proportion of 560/7 * X/1 and solve the proportion by multiplying 560 by 1 then dividing by 7. Did this page answer your question?

Step-by-step explanation:

Answer:

Point Form:

(4, −1, −3)

Equation Form:

x = 4, y = −1, z = −3

Step-by-step explanation:

..math

Answer:

2/5

Step-by-step explanation:

Answers in bold

\(\begin{array}{|c|c|} \cline{1-2}\text{number of rolls} & \text{number of people}\\\cline{1-2}1 & \boldsymbol{0.5}\\\cline{1-2}6 &3\\\cline{1-2}10 & \boldsymbol{5}\\\cline{1-2}16 & \boldsymbol{8}\\\cline{1-2}25 & \boldsymbol{12.5}\\\cline{1-2}n & \boldsymbol{0.5n}\\\cline{1-2}\end{array}\)

========================================================

Explanation:

The given table looks like this

\(\begin{array}{|c|c|} \cline{1-2}\text{number of rolls} & \text{number of people}\\\cline{1-2}1 & \\\cline{1-2}6 & 3\\\cline{1-2}10 & \\\cline{1-2}16 & \\\cline{1-2}25 & \\\cline{1-2}n & \\\cline{1-2}\end{array}\)

Focus on the row that has two values in it.

x = number of rolls = 6

y = number of people 3

k = constant of proportionality

y = kx

k = y/x = 3/6 = 0.5

The constant of proportionality is k = 0.5 which gives the direct variation equation of y = 0.5x

If x = 1, then y = 0.5*1 = 0.5 meaning that 1 roll feeds 0.5 people. This means we need 2 rolls to feed one person.

If x = 10, then y = 0.5x = 0.5*10 = 5 people can be fed with those 10 rolls. This process is continued until we finish filling out the table.

Answer:

d) 360

Step-by-step explanation:

Answer: D. R0, 360°

Step-by-step explanation: RIGHT ON EDGE 2023

An interesting relationship in the population may fail to achieve statistical significance if there are too few observations or sample size is too small.

Statistical significance is a measure of the probability that the observed relationship between variables in a sample could have occurred by chance alone. When a relationship is statistically significant, it means that the probability of observing the relationship by chance is very low, typically less than 5% (p < 0.05).

However, if the sample size is too small, there may not be enough data to detect a real relationship between variables, even if it exists in the population. In such cases, the observed relationship may not be statistically significant, even though it is important and meaningful.

Increasing the sample size can help to increase the power of the analysis, making it more likely to detect a true relationship between variables. Thus, having a sufficiently large sample size is important for achieving statistical significance and for making reliable conclusions about the relationship between variables.

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Using the Pigeonhole Principle, it can be shown that in a set of n positive integers, none exceeding 2n, there is at least one integer that divides another integer.

We can prove this statement by contradiction using the Pigeonhole Principle.

Suppose we have a set of n positive integers, none of which exceed 2n, and assume that no integer in the set divides another integer.

Consider the prime factorization of each integer in the set. Since each integer is at most 2n, the largest prime factor in the prime factorization of any integer is at most 2n.

Now, let's consider the possible prime factors of the integers in the set. There are only n possible prime factors, namely 2, 3, 5, ..., and 2n (the largest prime factor).

By the Pigeonhole Principle, if we have n+1 distinct integers, and we distribute them into n pigeonholes (corresponding to the n possible prime factors), at least two integers must share the same pigeonhole (prime factor).

This means that there exist two integers in the set with the same prime factor. Let's call these integers a and b, where a ≠ b. Since they have the same prime factor, one integer must divide the other.

This contradicts our initial assumption that no integer in the set divides another integer.

Therefore, our assumption must be false, and there must be at least one integer in the set that divides another integer.

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We can use the standard normal distribution table or calculate the z-score and find the corresponding area under the curve. The percentage of the population for X ≥ 124.75 is approximately 3.86%.

To find the percentage of the population for X ≥ 124.75, we need to calculate the z-score, which represents the number of standard deviations an observation is from the mean. The formula for the z-score is:

z = (X - μ) / σ

In this case, X is 124.75, μ is 100, and σ is 15. Plugging in these values, we get:

z = (124.75 - 100) / 15 = 1.65

Using the standard normal distribution table or a calculator, we can find the area under the curve to the right of the z-score of 1.65. The area represents the percentage of the population for X ≥ 124.75.

From the standard normal distribution table, we find that the area to the right of the z-score 1.65 is approximately 0.0495. Multiplying this by 100, we get 4.95%.

However, since we are interested in X ≥ 124.75, we need to consider the area to the left of the z-score of 1.65 and subtract it from 1. This gives us:

1 - 0.0495 = 0.9505

Multiplying 0.9505 by 100, we find that the percentage of the population for X ≥ 124.75 is approximately 95.05%. Therefore, the percentage of the population for X ≥ 124.75 is approximately 3.86%.

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The solution to the given radical equation √(11x - 2) = x + 2 is x = 3. This value satisfies the equation and is the only valid solution.

To solve the radical equation √(11x - 2) = x + 2, we follow a systematic approach. First, we isolate the radical term by subtracting x and 2 from both sides of the equation. This gives us √(11x - 2) - (x + 2) = 0.

Next, we square both sides of the equation to eliminate the square root. By squaring (√(11x - 2) - (x + 2))², we get (11x - 2) - 2(x + 2)√(11x - 2) + (x + 2)² = 0.

Simplifying the equation further, we have 11x - 2 - 2x - 4√(11x - 2) + x^2 + 4x + 4 = 0. Rearranging the terms, we get x² + (15 - 4√(11x - 2))x + 2√(11x - 2) - 6 = 0.

This quadratic equation can be solved using methods such as factoring, the quadratic formula, or completing the square, depending on the value of (11x - 2). By solving the equation, we find that x = 3 is the only valid solution. To verify this solution, we substitute x = 3 back into the original equation, and we see that it satisfies the given radical equation √(11x - 2) = x + 2.

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Answer:

its B

Step-by-step explanation:

Step-by-step explanation:

First solve 2+(4+8)

Always solve what is in the bracket first.

2+(12) = 14

Next solve each of the options to find out which one gives you the same answer as the question.

For A:

2+(6+8)

= 2+14

= 16 (X)

For B:

(2+4)+8

= 6+8

= 14 (✓)

For C:

(6+4)+8

= 10+8

= 18 (X)

For D:

(2+2)+8

= 4+8

= 12 (X)

Hence, B is the answer.

Answer:

1000000

Step-by-step explanation:

(10^5)/(10^-1) = 10^ 5-(-1) = 10^6 = 1000000

Answer:

Step-by-step explanation:

\(a^{m}*a^{n}=a^{m+n}\\\\\hx^{8} * hx^{-9} = h^{1+1} *x^{8 +(-9)}\\\\ =h^{2}x^{-1}\)

The revenue will be 13 million dollars approximately 5.35 years after 1980.

To find when the revenue will be 13 million, we need to solve the equation:

p = 13

Substituting the given equation for p, we get:

\(0.0456t^2 + 0.728t + 10.34 = 13\)

Simplifying the equation by subtracting 10.34 from both sides, we get:

\(0.0456t^2 + 0.728t - 2.66 = 0\)

We can solve this quadratic equation using the quadratic formula:

\(t = (-b \pm \sqrt (b^2 - 4ac)) / 2a\)

Where a, b, and c are the coefficients of the quadratic equation. In this case, a = 0.0456, b = 0.728, and c = -2.66. Substituting these values into the formula, we get:

\(t = (-0.728 \pm \sqrt(0.728^2 - 4(0.0456)(-2.66))) / 2(0.0456)\)

Simplifying under the square root, we get:

t = (-0.728 ± √0.925344) / 0.0912

t = (-0.728 ± 0.962) / 0.0912

Solving for t using both the plus and minus signs, we get:

t ≈ 5.35 or t ≈ -16.83

The negative value for t is not meaningful in this context, so we can ignore it.

Therefore, the revenue will be 13 million dollars approximately 5.35 years after 1980, which corresponds to the year 1985.35 (or about halfway through the year 1985).

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Answer:

1 : 240

Step-by-step explanation:

Given that:

Actual height of the great bell tower = 320 feet

Height of the great bell tower in the scale model = 16 inches

To find:

Scale used by Kenneth to create the scale model?

Solution:

First of all, let us learn about the scale concept.

Scaling is a method to represent the large buildings or monuments on the paper by making a small drawing of the same.

To make small drawings, we decide a scaling factor by which the original monument is drawn smaller.

First of all, let us convert both the quantities given in the same unit.

We know that:

1 ft = 12 inches

320 ft = \(320 \times 12\) inches

Scaling factor = Scale model : Actual height

Scaling factor = 16 inches : \(320 \times 12\) inches = 1 : 240

Therefore, the scale used for the scale model is 1 : 240.

Answer: yes, the value of x is 4 and angle HEB is 36 degrees

Step-by-step explanation:

1a. Find the value of angle CEB

Given that line segment AB and line segment EC are perpendicular you know they are right angles and therefore are equal to 90 degrees

2a.set up an equation

After noticing that angle CEB is 90 degrees you know that angle HEB+CEH=90 degrees: 13x+9x+2

3a. Solve the equation

13x+9x+2=90

22x+2=90 | combine like terms

22x=88 | subtract 2 from both sides

x=4 | divide by 22 on both sides

1b. Set up equation

Knowing x=4 and that angle HEB is 9x the equation is 9(4)

2b. Solve the equation

9(4)

36

Answer:

2(x+4)(x-4)

Step-by-step explanation:

first take 2 as a gcf

second factor using the difference of 2

Approximately 304,657,600 Americans were there in July 2009 based on the estimated 2008 growth rate of 0.88%.

To find the approximate US population in July 2009, we need to apply the growth rate of 0.88% to the initial population in July 2008.

Convert the growth rate from percentage to decimal:

0.88% = 0.0088
Calculate the number of people added to the population in 2008: 302,000,000 * 0.0088 = 2,657,600
Add this number to the initial population to find the population in July 2009:

302,000,000 + 2,657,600 = 304,657,600.

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Answer:

Use the quotient property of logarithms, logb(x)−logb(y)=logb(xy) log b ( x ) - log b ( y ) = log b ( x y ) . log3(4010) log 3 ( 40 10 ). Step 2.