2(x-5) = 4x-2 (x+5)+1

To calculate the percent change in renewable energy investment in the US from 2005 to 2018, you can use the following formula:

Percent change = ((Final value - Initial value) / Initial value) * 100%

In this case, the initial value is $11.4 billion in 2005 and the final value is $46.5 billion in 2018. Plugging these values into the formula, we get:

Percent change = (($46.5 billion - $11.4 billion) / $11.4 billion) * 100%

= ($35.1 billion / $11.4 billion) * 100%

= 3.085 * 100%

= 308.5%

So, the percent change in renewable energy investment in the US from 2005 to 2018 was 308.5%, a substantial increase over the 13-year period.

The correct answer is the minimal cover of F is:F = {AB→C, AB→S, AB→E, ES→S}

Given, relation schema R(ABC,DE) with functional dependencies F:AB→SCDE→ABAB→SEES→C.

The candidate key of a relation R is a minimal set of attributes that can uniquely identify each tuple in R. To find the candidate key, we can compute the closure of each subset of attributes in R. Let's begin by finding the closure of AB, the subset of R. We can use the functional dependency AB→SC to compute the closure of AB as follows: AB+ = ABSC (by AB→SC)

Next, let's compute the closure of DE, the other subset of R. We can use the functional dependency DE→AB to compute the closure of DE as follows: DE+ = DEABSE (by DE→AB and AB→SE)

Now we have two potential candidate keys, AB and DEABSE. However, we need to check if they are minimal. To do this, we check if any subset of these candidate keys can also function as a candidate key. We can see that neither AB nor DEABSE has any proper subset that can function as a candidate key.

Therefore, both AB and DEABSE are candidate keys for the relation R. Next, let's compute the minimal cover of F. The minimal cover of a set of functional dependencies F is a minimal set of functional dependencies that is equivalent to F.

To find the minimal cover of F, we can use the following steps:

Step 1: Eliminate redundant dependencies. We can eliminate the dependency AB→SC since it is implied by AB→C.

Step 2: Decompose dependencies. We can decompose the dependency AB→SE into two dependencies, AB→S and AB→E, since S and E are not a subset of any other attribute set in F.

Step 3: Eliminate extraneous attributes. We can eliminate the attribute C from the dependency ES→C since C is already determined by AB→C.

Therefore, the minimal cover of F is:F = {AB→C, AB→S, AB→E, ES→S}

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Answer: Rounding up to the next higher ten thousandth, the tax rate for Blunt County is approximately 8.8 mils.

Step-by-step explanation: To find the tax rate of Blunt County, we can divide the amount needed from property tax by the total assessed value of property and then convert the result to mils. Here's the calculation:

Tax Rate = (Amount Needed from Property Tax / Total Assessed Value of Property) * 1000

Tax Rate = ($1,160,000 / $133,000,000) * 1000

Tax Rate = 0.008721804511278195 * 1000

Tax Rate = 8.721804511278195 mils

Therefore, the tax rate of Blunt County is 8.7 mils (rounded to 1 decimal place).

To calculate the tax rate of Blunt County, we can divide the amount of money needed from property tax ($1,160,000) by the total value of assessed property in Blunt County ($133,000,000) and convert it to mils (thousandths of a dollar).

Tax Rate = (Amount of Money Needed from Property Tax / Total Value of Assessed Property) * 1,000

Tax Rate = ($1,160,000 / $133,000,000) * 1,000

Tax Rate = 0.0087 * 1,000

Tax Rate = 8.7 mils

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Answer:

The answer will be 8

Step-by-step explanation:

SInce you notice there is movies with an 8 difference....

Answer:

4 horror movies

Step-by-step explanation:

This seems to be a problem related to ratios. We are given that, for every 24 kids' movies, there are 32 horror movies. We need to figure out how many horror movies there would be if there were just 3 kids' movies. We can set up an equation using proportions:

\(\frac{24}{32}=\frac{3}{x}\)

We don't know how many horror movies there would be so we can let this quantity equal x. Now, we can cross multiply and solve for our unknown:

\(24x = 3*32\\24x = 96\\x = 4\)

This means that there are 4 horror movies

Let x represent the missing number, and you'll now have;

Therefore, the missing number is 28

a conditional expression is essential in recursive algorithms to control the termination of recursion and ensure the algorithm converges to a solution.

Recursive algorithms are designed to solve problems by breaking them down into smaller, simpler subproblems and repeatedly applying the same algorithm to those subproblems. However, without a conditional expression to define a termination condition, the algorithm would continue to make recursive calls indefinitely, resulting in an infinite loop and eventually running out of resources.

The conditional expression serves as the stopping criterion for the recursion. It typically checks if a certain condition is met, indicating that the base case has been reached or that further recursion is no longer needed. When the condition evaluates to true, the recursion stops, and the algorithm returns a result or performs a final computation.

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The statement "The two-second rule is the accepted method of computing the following distance" is true.

The two-second rule is a widely recognized guideline used to determine a safe distance to maintain between vehicles while driving. It suggests that drivers should keep a time gap of at least two seconds between their vehicle and the vehicle in front of them.

The two-second rule is based on the principle that it takes about two seconds for a driver to perceive a hazard, react to it, and begin to apply the brakes. By maintaining this time gap, drivers allow themselves enough space to react to sudden changes in the traffic situation or unexpected maneuvers by the vehicle ahead.

Thus, the given statement is true.

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It is the first option

Step-by-step explanation:

please mark me as brainilest

(a) Expected utility is calculated as the weighted average of the utilities of all possible outcomes.

According to the problem, Sam's utility function is u(100) = 1 and u(200) = 2.

The lottery L1 = ( £100, w.p. 0.6; £200, w.p. 0.4 ) has two outcomes with the probabilities of 0.6 and 0.4.

Therefore, the expected utility of the lottery L1 is:

Expected utility of L1 = 0.6 × u(100) + 0.4 × u(200)= 0.6 × 1 + 0.4 × 2= 1.4

Since Sam is willing to pay at most £120 for the lottery L1, this indicates that the expected utility of L1 is worth £120 to Sam. Thus:1.4 = u(£120)

Since we know u(100) = 1 and u(200) = 2, we can linearly interpolate to find u(£120):

u(£120) = u(100) + [(120 - 100)/(200 - 100)] × (u(200) - u(100))= 1 + [(120 - 100)/(200 - 100)] × (2 - 1)= 1.3

Therefore, the expected utility of the lottery L2 = ( £100, w.p. 0.6; £120, w.p. 0.4 ) is:

Expected utility of L2 = 0.6 × u(100) + 0.4 × u(£120)= 0.6 × 1 + 0.4 × 1.3= 0.78

So, Sam's expected utility for the lottery L2 is 0.78

.(b) The risk preferences of Sam can be determined by comparing the utility of the lottery L1 and the sure outcome that gives the same expected value as the lottery L1.

The expected value of the lottery L1 is:Expected value of L1 = 0.6 × £100 + 0.4 × £200= £140

Therefore, Sam needs to be indifferent between the lottery L1 and the sure outcome of receiving £140. Since the expected utility of L1 is 1.4, Sam's utility for receiving £140 must also be 1.4.

This can be represented as:u(£140) = 1.4From part (a), we know that u(£120) = 1.3.

Therefore, the difference between the two utility values is:u(£140) - u(£120) = 1.4 - 1.3= 0.1

The difference in utility is positive but not enough to reflect risk-loving behavior. Therefore, Sam is risk-averse.

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Amy will choose the second restaurant to purchase pizza. Because the second one is cheaper.

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.

Given,

the first restaurant charges a delivery fee of $6 for the entire purchase and $13 per pizza.

The second restaurant has no delivery fee and charges $16 per pizza.

And Amy will choose between two restaurants to purchase pizzas for her party.

The cost of one pizza of the first restaurant:

Cost = delivery fee + price of one pizza

        = $6 + $13

         = $19

The cost of one pizza of the second restaurant:

Cost = delivery fee + price of one pizza

          = $0 + $16

         = $16

And 16< 19

The second restaurant is cheaper.

Therefore, Amy will choose the second restaurant to purchase pizza.

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The expression that is useful to determine the total amount of credit cards opened at the two locations is (A + B)(t) = 35 + t.

In this question, we have been the amount in location A is given by a function A(t) = 10 + 2t

And the amount in location B is given by a function : B(t) = 25 − t

We need to find an expression that can be used to determine the total amount of credit cards opened at the two locations.

The total amount combined between A and B is given as,

(A + B)(t) = 10 + 2t + 25 - t

(A + B)(t) = 10 + 25 + 2t - t

(A + B)(t) = 35 + t

Therefore, the expression that is useful to determine the total amount of credit cards opened at the two locations is (A + B)(t) = 35 + t.

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Answer: 6/192, 1/32, 2/64, 3/96, etc.

Step-by-step explanation:

The scale drawing says that the length is 6 inches, and the actual length is 16 feet. First, we need to get both values into the same unit. 16 feet is 192 inches. So our base ratio is 6/192, or 1/32. Equivalent Ratios include 2/64 and 3/96. :)

The structure indicated by: 10a, 15t, 3g, 7c? is a structure related to the composition of a DNA or RNA sequence.

The given information "10a, 15t, 3g, 7c" suggests a pattern or structure related to the composition of a DNA or RNA sequence.

In molecular biology, DNA and RNA are made up of nucleotides, which consist of a nitrogenous base (adenine, thymine/uracil, guanine, or cytosine) and a sugar-phosphate backbone.

Based on the provided data, it appears that the numbers preceding each letter indicate the count or frequency of that particular nucleotide in the sequence.

Therefore, the structure indicated by "10a, 15t, 3g, 7c" implies the composition of a DNA or RNA sequence with the following nucleotide counts:

10 adenine (A) nucleotides (abbreviated as 10a)

15 thymine (T) nucleotides (abbreviated as 15t)

3 guanine (G) nucleotides (abbreviated as 3g)

7 cytosine (C) nucleotides (abbreviated as 7c)

Together, these nucleotides make up a portion of the DNA or RNA sequence, indicating the presence and quantity of each base in that particular section.

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The correct number sentence to find the number of black bugs would be:

A) 14 + 4 = (black)

Given that, there are 14 bugs crawling up the stairs.

We need to choose the number that can be used to determine how many of the bugs are black while just four are green.

The number sentence states that there are 14 bugs in total and 4 of them are green.

Since we want to find the number of black bugs, we need to add the number of green bugs (4) to the number of black bugs.

By using the number sentence 14 + 4 = (black), we can determine the value of "black" by performing the addition.

Hence the correct number sentence to find the number of black bugs would be:

A) 14 + 4 = (black)'

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Answer:

-14x + 30y + 4

Step-by-step explanation:

-6x + 4(-2x + 8y) - 2y + 4

take out the parentheses

4(-2x + 8y) = -8x + 32y

-6x - 8x + 32y - 2y + 4

solve for the x's then y's

-6x - 8x = -14x

32y - 2y = 30y

you are done

-14x + 30y + 4

In math, protractors are essential tools for measuring and determining vertical and adjacent angles.

In the study of geometry, angles play a fundamental role, and accurately measuring them is crucial for solving various mathematical problems. When it comes to vertical and adjacent angles, a key tool used by both students and professionals is the protractor. A protractor is a DIY (do-it-yourself) tool that allows for precise angle measurement and identification.

With a protractor, one can easily determine the size of vertical angles, which are formed by intersecting lines or rays that share the same vertex but point in opposite directions. These angles have equal measures. Similarly, adjacent angles are formed when two angles share a common side and a common vertex but do not overlap. By using a protractor, one can measure the individual angles and determine their relationship to each other.

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False. While all relationships should be valued and respected, it's unrealistic to say that they all have equal weight. Some relationships may be closer and more intimate than others, or may require more time and energy to maintain.

Additionally, some relationships may have greater consequences or impact on our lives than others. It's important to prioritize and nurture our relationships based on their individual significance and value to us.
In the context of relationships, the term "weight" refers to the importance or influence of a particular relationship. Not all relationships have equal weight because the significance of each relationship varies based on factors such as trust, communication, shared experiences, and emotional connections.

Some relationships are naturally stronger and more influential than others due to these factors, making them more valuable and impactful in a person's life. In contrast, weaker relationships may not have the same level of trust, connection, or influence, making them less important overall. It is essential to recognize and nurture the stronger relationships in one's life to maintain a healthy support system and overall well-being.

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The win for your case against the dynamite transporting company, your standard of proof would likely be based on the preponderance of evidence.

In civil cases, such as personal injury or property damage claims, the standard of proof is generally based on the preponderance of evidence. This standard requires the plaintiff (in this case, your company) to present evidence that convinces the court that it is more likely than not that the defendant (the dynamite transporting company) is responsible for the harm or damages.

To meet the preponderance of evidence standard, you would need to present compelling evidence and arguments that demonstrate the negligence of the dynamite transporting company and its employee. This may include eyewitness testimony, surveillance footage, accident reports, expert opinions, and any other relevant evidence that supports your claim. It is crucial to establish a causal connection between the negligent actions of the company's employee, the truck accident, and the subsequent destruction of your store and the surrounding block.

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Answer:

125 people

Step-by-step explanation:

P( green) = number of green / total

                = 25/120

                 =5/24

Multiply this probability by 600

5/24 * 600 =125

Answer:

out of 120 people 25 people has chosen green

out of 1 people green will be chosen by 25/120 people

out of 600 people green colour will be chosen by( 25/120)×600 people =25×5=people

Answer:

Exact form 2/11

Decimal form 0.18

Answer:

Step-by-step explanation:

74 feet squared

The largest prime factor that always divides the sum of the terms in the sequence is 37.

The sequence is finite and consists of three-digit integers.

The tens and units digits of each term are, respectively, the hundreds and tens digits of the next term, and the tens and units digits of the last term are, respectively, the hundreds and tens digits of the first term.

From the above property of the sequence, we can see that each digit at the units, tens as well as hundreds place will appear the same number of times in the sequence.

Let "x" be the sum of the digits at unit place in all the terms.

The sum of all the terms is "S".

S = 111*x

S = 3*37*x

We can clearly see that the sum "S" is divisible by 37.

Hence, the largest prime factor that always divides the sum of the terms in the sequence is 37.

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Answer:

I think the answer is A=49

Answer: 400 feet, 4800 inches

Step-by-step explanation: i believe it is 400 feet because if you calculate the area of the first strip you would get 14400 in INCHES. you already know one dimension of the next strip, 3 inches so divide 14400 by 3 because we now know a gallon can paint 14400 inches. then u get 4800 inches, divided by twelve gives you the feet! so the answer is 400 i think

sorry if my answer was really confusing

Answer:

400 feet

Step-by-step explanation:

First we need to find out how much surface area a gallon of paint can cover.

We also need to make sure we're using the same units.

4 inches × 300 feet = a gallon of paint

1 foot = 12 inches

300 feet = (12 × 300) 3600 inches

4 inches × 3600 inches = 14,400 inches² = 1 gallon of paint

If the strip is reduced down to 3 inches, how long will the strip be?

We can now form an equation. 14,400 inches is the total, 3 inches is a known variable and the length of the strip is unknown.

Let the unknown be x

3 × x = 14,400

x = 14,400 inches² ÷ 3 inches

x = 4800 inches

We should now change this back to feet by dividing 4800 inches by 12

4800 ÷ 12 = 400 feet

Using exponential function concepts, it is found that the common ratio would be given by 0.989.

A decaying exponential function is modeled by:

\(A(t) = A(0)(1 - r)^t\)

In which:

In this problem, the amount decays 1.1% a year, hence:

The common ratio would be given by 0.989.

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Answer: C

Step-by-step explanation:

Trust

Answer:

900

Step-by-step explanation:

A=S^2

50265=SxS

S=√50265

S=225

P=Sx4

P=225x4

P=900

Step-by-step explanation:

a. Product of sum and difference.

4x² - 1

b. Square of binomial.

4x² + 4x + 1

c. Square of binomial.

4x² - 4x + 1

d. Subtraction

4x² + 4x + 1 - (4x² - 4x + 1) = 8x

The coordinates of point bbb are \left(\dfrac{2a+7c}{9}, 0\right)left( 9 2a+7c ​ , 0 right).

To find the coordinates of point bbb on \overline{ac}ac start overline, a, c, end overline, we need to use the formula for the division of a line segment in a given ratio. The formula is:

\begin{aligned} x &= \dfrac{x_1m+x_2n}{m+n} \\ y &= \dfrac{y_1m+y_2n}{m+n} \end{aligned}
Where m and n are the given ratio, and (x1, y1) and (x2, y2) are the coordinates of the two endpoints of the line segment.

In this case, the given ratio is \dfrac{2}{7}7 2 ​ start fraction, 2, divided by, 7, end fraction, and the coordinates of the two endpoints are (x1, y1) = (a, 0) and (x2, y2) = (c, 0).

Plugging in the values into the formula, we get:
\begin{aligned} x &= \dfrac{a \cdot 2 + c \cdot 7}{2+7} \\ y &= \dfrac{0 \cdot 2 + 0 \cdot 7}{2+7} \end{aligned}

Simplifying the equations, we get:
\begin{aligned} x &= \dfrac{2a+7c}{9} \\ y &= 0 \end{aligned}

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The solution is -14.

What is a linear equation?

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the conventional form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present.

Here, we have

Given: x + 19 = 5

we have to solve this equation and check the solution.

x + 19 = 5

x = 5 -19

x = -14

Hence, the solution is -14.

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Answer:

a

Step-by-step explanation:

x+19=5

-5 on both sides so..

5-5-0

x+19

19-5=14

x=14

Step-by-step explanation:

for measuring the angle use the protractor !