anyone please write an easy solution to solve this linear equation with brackets:

16-4(x+3)=2x

anyone pls explain i keep getting 7/2!!

Based on the text, the primary source of primate endangerment today is habitat destruction.

Habitat destruction is considered the primary source of primate endangerment based on various factors mentioned in the text. Primates, like many other species, heavily rely on their natural habitats for survival, including food, shelter, and breeding. However, human activities such as deforestation, urbanization, and land conversion for agriculture or infrastructure development have significantly reduced and fragmented primate habitats.

Habitat destruction leads to the loss of critical resources and disrupts the ecological balance necessary for primate populations to thrive. As their habitats shrink, primates face increased competition for limited resources, reduced access to food and water sources, and decreased opportunities for successful reproduction and rearing of offspring. This loss of habitat also exposes primates to increased vulnerability to predation, disease transmission, and human-wildlife conflicts.

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The bag-filling machine works correctly at the 408-gram setting. And the Alternative hypothesis is that The machine underfills the bags.

In this scenario, the null hypothesis states that the bag-filling machine works correctly at the 408-gram setting. The alternative hypothesis suggests that the machine underfills the bags, indicating a deviation from the desired weight.

The null hypothesis can be denoted as:

H0: μ = 408

where μ represents the population mean weight of the filled bags.

The alternative hypothesis can be denoted as:

H1: μ < 408

This hypothesis suggests that the population's mean weight is less than 408 grams.

By setting a level of significance of 0.01, we are indicating that we are willing to accept a 1% chance of Type I error (rejecting the null hypothesis when it is true).

To test these hypotheses, we can perform a one-sample t-test using the sample mean weight of the 15 bags (402 grams), the population standard deviation (assuming it is known or estimated), and the sample size.

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Answer:

6

Step-by-step explanation:

3x plus 12= 8x -18

subtract twelve on both sides:

3x= 8x- 30

minus 8x on both sides:

-5= -30

divide:6

Answer:

88

Step-by-step explanation:

Each triangle has a sum of 180 degrees. So we find the missing angle with this rule.

180-38-50.

The angle is 92 degrees.

Now to find the angle of A, each angle adds up to 180 on a line. so 180-92. So you get 88

Answer:

Step-by-step explanation:

38+50=angle A(the sum of two interior opposite angle is equal to the external angle formed)

88=angle A

Based on the price the computer was reduced by and the profit the shopkeeper still made, if the computer was sold at full price, the profit percentage would have been 50%.

First assume a price the computer was sold at. We'll go with $100.

At this price, the shopkeeper still made a profit of 20% which means that the cost price was;

= 100 / (1 + 20%)

= $83.33

Based on the discounted price of $100, the full price was:

= 100 / (1 - 20%)

= $125

The profit the shopkeeper would have made is:

= (Full price - Cost price) / Cost price x 100%

= (125 - 83.33) / 83.33 x 100%

= 50%

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Answer:

Step-by-step explanation:

The corner of a rectangle must be 90 degrees. 2x-10=90, x=50.

The area between two negative scores can be found by taking the absolute difference between the two scores.

The area between two negative scores can be found by taking the absolute difference between the two scores. This is because the absolute difference gives us the distance between the two scores without considering their signs.

To calculate the area between two negative scores, follow these steps:

1. Identify the two negative scores.
2. Subtract the smaller negative score from the larger negative score.
3. Take the absolute value of the result to remove the negative sign.
4. The absolute difference between the two negative scores represents the area between them.

For example, let's say we have two negative scores, -5 and -10. To find the area between them, we subtract -5 from -10, resulting in -10 - (-5) = -10 + 5 = -15. Since we are interested in the distance, we take the absolute value of -15, which gives us 15. Therefore, the area between -5 and -10 is 15.

The absolute difference between two negative scores gives us the area between them. This approach is applicable whenever we want to find the distance or area between any two numbers, not just negative scores.

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We have proved that every integer of form 6n - 1 for n ∈ N has at least one prime factor congruent to 5 mod 6.

To prove that every integer of form 6n - 1 for n ∈ N has at least one prime factor congruent to 5 mod 6, we will use contradiction.

Assume that there exists an integer of the form 6n - 1 with no prime factors congruent to 5 mod 6. Let's call this integer "x".

This means that all prime factors of x are either congruent to 1 mod 6 or are equal to 2 or 3.

Now, consider the number y = x^2. Since all prime factors of x are congruent to 1 mod 6 or are equal to 2 or 3, it follows that all prime factors of y are congruent to 1 mod 6.

Therefore, y is of the form 6m + 1 for some integer m.

Next, we can express y as y = (6n - 1)^2 = 36n^2 - 12n + 1.

Simplifying this expression gives y = 6(6n^2 - 2n) + 1.

We can see that y is of form 6k + 1 for some integer k, which means y is not congruent to 5 mod 6.

However, this contradicts our assumption that x has no prime factors congruent to 5 mod 6. Therefore, our assumption must be false, and it follows that every integer of form 6n - 1 for n ∈ N has at least one prime factor congruent to 5 mod 6.

In conclusion, we have proved that every integer of form 6n - 1 for n ∈ N has at least one prime factor congruent to 5 mod 6.

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Answer:

approximately 10.3 days to reach 500 bacteria

Step-by-step explanation:

Let's use the formula for exponential growth to write an equation that represents the situation: N = N0 * e^(rt)

where N is the number of bacteria, N0 is the initial number of bacteria, e is Euler's number (approximately 2.718), r is the growth rate, and t is the time in days.

We know that after 4 days, the number of bacteria is 71, so we can plug these values into the equation to solve for the growth rate: 71 = N0 * e^(4r)

Similarly, after 7 days (4 + 3), the number of bacteria is 185: 185 = N0 * e^(7r)

Now we have two equations with two unknowns (N0 and r). We can divide the second equation by the first equation to eliminate N0: 185/71 = e^(3r)

Taking the natural logarithm of both sides, we get: ln(185/71) = 3r

Solving for r, we get: r = ln(185/71) / 3 ≈ 0.558

Now we can use the first equation and the growth rate we just found to solve for N0:

71 = N0 * e^(4 * 0.558)

N0 ≈ 11.7

So the initial number of bacteria was approximately 11.7.

To find out how long it will take to reach 500 bacteria, we can plug in the values we know into the equation and solve for t: 500 = 11.7 * e^(0.558t)

Dividing both sides by 11.7, we get: e^(0.558t) ≈ 42.74

Taking the natural logarithm of both sides, we get: 0.558t ≈ ln(42.74)

Solving for t, we get: t ≈ ln(42.74) / 0.558 ≈ 10.3 days

Therefore, it will take approximately 10.3 days for the sandwich to be fully covered with bacteria.

Answer:

Wouldn't the answer be C) Positive Integers?

Step-by-step explanation: Because the complement of a set include all of the elements not included in the indicated set. I hope I'm making some sense. :)

The expressions that are equivalent to 4√5 is

A) 2√20

C) \(3\sqrt5+\sqrt5\)

D) \(4\times 5^{1/2}\)

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. Unknown variables, integers, and arithmetic operators are the components of an algebraic expression. There are no symbols for equality or inequality in it.

Here the given expression is \(4\sqrt5\).

Now simplifying the given option expressions then,

A) \(2\sqrt{20}\) = \(2\sqrt{4\times5}\)

= \(2\times2\sqrt{5}\)

= \(4\sqrt5\)

B) \(6^{1/2}-5^{1/2}\)

\(= \sqrt6-\sqrt5\)

C) \(3\sqrt5+\sqrt5\)

= \(4\sqrt5\)

D) \(4\times 5^{1/2}\)

\(= 4\sqrt5\)

E) \(2\sqrt{10}\)

F) \(3\times5^{1/2}\)

\(=3\sqrt5\)

Hence  the expressions that are equivalent to 4√5 is

A) 2√20

C) \(3\sqrt5+\sqrt5\)

D) \(4\times 5^{1/2}\)

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Answer:

Green parachute

Explanation:

Orange parachute

• Distance = 12 feet

• Time = 5 seconds

Rate of descent = 12/5 =2.4 feet/seconds

Green parachute

• Distance = 14 feet

• Time = 7 seconds

Rate of descent = 14/7 =2 feet/seconds

Since 2 is less than 2.4, the green parachute has a slower descent.

The expected value (e(x)) of the given probability mass function can be calculated as 1.36.

To find the expected value (e(x)), we need to calculate the weighted average of the values of x using their respective probabilities. The given probability mass function is F(x) = (2x + 1)/25.

We can calculate the expected value using the formula:

e(x) = Σ(x * P(x))

where Σ denotes the sum, x represents the values, and P(x) represents the probabilities.

For the given function, the values of x are 0, 1, 2, 3, and 4.

Plugging in the values into the formula:

e(x) = (0 * P(0)) + (1 * P(1)) + (2 * P(2)) + (3 * P(3)) + (4 * P(4))

Calculating the probabilities for each value:

P(0) = (2 * 0 + 1)/25 = 1/25

P(1) = (2 * 1 + 1)/25 = 3/25

P(2) = (2 * 2 + 1)/25 = 5/25 = 1/5

P(3) = (2 * 3 + 1)/25 = 7/25

P(4) = (2 * 4 + 1)/25 = 9/25

Substituting these values into the expected value formula:

e(x) = (0 * 1/25) + (1 * 3/25) + (2 * 1/5) + (3 * 7/25) + (4 * 9/25)

= 0 + 3/25 + 2/5 + 21/25 + 36/25

= 1.36

Therefore, the expected value (e(x)) of this probability mass function is 1.36. Thus, the correct option is b. 1.36.

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N(A) is an ideal of R and N(N(A)) = N(A).

a) To prove that N(A) is an ideal of R, we need to show that it is closed under addition and multiplication by elements of R.

Let x, y ∈ N(A) and r ∈ R. Then there exist integers m and n such that xm ∈ A and yn ∈ A. By the commutative property of R, we have:

(x + y)n = xn + xny + yxn + yn ∈ A

(rx)n = rnxn ∈ A

Therefore, x + y ∈ N(A) and rx ∈ N(A), so N(A) is an ideal of R.


b) To prove that N(N(A)) = N(A), we need to show that N(N(A)) ⊆ N(A) and N(A) ⊆ N(N(A)).

Let x ∈ N(N(A)). Then there exists an integer n such that xn ∈ N(A). This means that there exists an integer m such that (xn)m ∈ A. By the associative property of R, we have:

(xn)m = xnm ∈ A

Therefore, x ∈ N(A), so N(N(A)) ⊆ N(A).

Let x ∈ N(A). Then there exists an integer n such that xn ∈ A. Since A ⊆ N(A), we have xn ∈ N(A). Therefore, x ∈ N(N(A)), so N(A) ⊆ N(N(A)).

Hence, N(N(A)) = N(A).
Conclusion: N(A) is an ideal of R and N(N(A)) = N(A).

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top right and bottom right

The figures demonstrate a reflection are option (B) and option (D) are the correct answer.

A reflection is a type of transformation. It maps one shape onto another. The function retains its basic shape; however, by including a negative sign in the appropriate place in the equation, the graph of the function will flip over one or the other of the axes.

For the given situation,

The options shows the different figures. we need to select the figure that correctly demonstrates the reflection.

Option A:

Here, the figure is not flipped on the axes.

The figure in option A does not show the transformation of reflection.

Option B:

Here, the figure is flipped on the axes.

The figure in option B shows the transformation of reflection.

Option C:

Here, the figure is not flipped on the axes.

The figure in option C does not show the transformation of reflection.

Option D:

Here, the figure is flipped on the axes.

The figure in option D shows the transformation of reflection.

Hence we can conclude that the figures demonstrate a reflection are option (B) and option (D) are the correct answer.

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∑ \(1/n^2\) b) converges, we can conclude that the given series also converges.Therefore, the answer is (b) converges.

To apply the limit comparison test, we need to choose a series that we already know converges or diverges, and then compare its limit with the limit of the given series.

Let's choose the series ∑ \(1/n^2\)with p=2, which is a well-known convergent series. Then, we can take the limit as n approaches infinity of the ratio of the nth term of the given series to the nth term of the chosen series:

lim n→∞ (n/√\((n^5+6)) / (1/n^2)\)

= lim n→∞ \((n^3\) / √(\(n^5\)+6))

= lim n→∞ \((n^3 / n^(5/2))\)

= lim n→∞ \((1 / n^{(1/2))\)

= 0

Since the limit is finite and non-zero, we can conclude that the given series has the same convergence behavior as the series ∑\(1/n^2\). Since ∑ \(1/n^2\) converges, we can conclude that the given series also converges.

Therefore, the answer is (b) converges.

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Answer:

Explanation:

The angles that are right angles are the ones that measure 90 degrees.

These are:

angles formed at L

angles formed at E

Answer:

Explanation:

The angles that are right angles are the ones that measure 90 degrees.

These are:

angles formed at L

angles formed at E

A composite function exists as a function that depends on another function. A composite function exists formed when one function exists substituted into another function.

The value of g(3x) = 9x.

In mathematics, function composition exists as an operation ∘ that takes two functions f and g, and has a function h = g ∘ f such that h(x) = g. In this operation, the function g exists used to the result of applying the function f to x.

Function composition is a mathematical procedure where two functions, f, and g, are taken and a function, h = g ∘ f, is produced such that h(x) = g(f(x)). The function g exists used in this operation on the outcome of applying the function f to x.

Let the two functions be f(x) = 3x and g(x) = x²

f(g(x)) = f(x²)

f(x²)  =  3x²

simplifying the above equation, we get

g(f(x)) = g(3x)

g(3x) = (3x)²

g(3x) = 9x

Therefore, the value of g(3x) = 9x.

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The better survey would be when the possibility of adults in favour of fee and not in favour of fee is same that is 50% each.

Everything in surveys revolves around asking the appropriate questions in the right ways since they are meant to elicit feedback. Many polls purposefully and unintentionally ask one-sided questions.

An objective question attempts to avoid using leading language and is fact-based rather than judgmental.

Biased questionnaire items use word choice and sentence structure in a way that affects how respondents react. This is sometimes done on purpose. This usually happens as a result of inadequate survey planning and assessment.

Here are a few advices.

Given query:

Thus, the better survey would be when the possibility of adults in favour of fee and not in favour of fee is same that is 50% each.

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Answer:

x>2 or x<-10

Step-by-step explanation:

9|x +4|>54

Divide each side by 9

9/9|x +4|>54/9

|x +4|>6

There are two solutions, one positive and one negative

x+4 >6  or x+4 < -6

Subtract 4 from each side

x+4-4 >6-4   or x+4-4 < -6-4

x>2 or x<-10

29/32

Step-by-step explanation:

ng x value 32wrffddfddfffryufcjhfddxhjhddxffdssdtt

Answer:

If the perimeter of ΔMNO is 25 units, what's the perimeter of ΔABC?

37.5 units

Step-by-step explanation:

The efficiency of the Zumba class system is approximately 69.2%, and its utilization is approximately 54.5%.

To calculate the efficiency of the system, we can divide the actual output (number of employees trained) by the designed capacity (maximum number of employees that can be trained per month) and multiply by 100 to get a percentage.

Efficiency = (Actual Output / Designed Capacity) * 100

Efficiency = (600 / 850) * 100 = 70.6%

Therefore, the efficiency of the system is approximately 70.6%.

To calculate the utilization of the system, we can divide the actual output (number of employees trained) by the capacity (maximum number of students per month) and multiply by 100.

Utilization = (Actual Output / Capacity) * 100

Utilization = (600 / 1100) * 100 = 54.5%

Therefore, the utilization of the system is approximately 54.5%.

The Zumba class system at the local gym has an efficiency of approximately 69.2% and a utilization rate of approximately 54.5%. The efficiency indicates how well the system is performing relative to its designed capacity, and in this case, it suggests that the system is operating at a reasonably high level. The utilization rate, on the other hand, indicates how much of the available capacity is being utilized, and in this case, it suggests that the system is operating at around half of its maximum capacity. This information can be used by the gym to evaluate the performance of their Zumba class program and make informed decisions regarding resource allocation and potential improvements.

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Using the concept of equations, 1552 people attended the festival last year.

Two algebraic expressions are combined to create an algebraic equation using the equals (=) sign. Algebraic equations are also known as polynomial equations since they contain polynomials on both sides of the equal sign. An algebraic equation consists of variables, coefficients, constants, and algebraic operations including addition, subtraction, multiplication, division, and exponentiation.

An integer or set of integers that satisfy the condition in the equation are the roots or solutions of an algebraic equation.

Let the number of people who attended the festival last year =x

Then, we can write an equation as

1785=1.15 × x

x = 1785/1.15

=1552 people

So, last year's attendance = 1552

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Answer:

8x^2 + 45/5x

Step-by-step explanation:

write the division as a fraction

3x+ 1/x + 8/x - 7/5x

using a=a/1, convert the expression into a fraction

3x/1 - 7/5x

calculate the product

3x/1 - 7x/5

expand the fraction to get the least common denominator

5 x 3x/ 5 x 1   -  7x/5

multiply the numbers

15x/5   -   7x/5

write all numerators above the common denominator

15x - 7x/5

collect like terms

8x/5

write the factor as a product

8/5 x + 1/x + 8/x

calculate the product

8x/5 + 5 x 1/5x + 5 x 8/5x

expand the fraction to get the least common denominator

X  x  8x/X  x  5 + 5/5x + 5 x 8/5x

multiply the numbers

X  x  8x/X  x  5 + 5/5x + 40/5x

calculate the product

8x^2/5x + 5/5x +40/5x

write all numerators above the common denominator

8x^2 + 5 + 40/5x

add the numbers and that's the answer

8x^2 + 45/5x

(that was l o n g)

Answer:

that would be 700ft^2

Step-by-step explanation:

The rectangle on top has area of 23 × 14 = 322ft^2
the rectangle on bottom has area of 23 × 12 = 276ft^2

Two triangles make 1 rectangle with area 17 × 12 = 102ft^2

Add them all up 700ft^2

Answer:

that would be 700ft^2

Step-by-step explanation:

The rectangle on top has area of 23 × 14 = 322ft^2

the rectangle on bottom has area of 23 × 12 = 276ft^2

Two triangles make 1 rectangle with area 17 × 12 = 102ft^2

Add them all up 700ft^2

Answer:

K : J

1 : 2

1 + 2 = 3

6/3 = 2

2 x 2 = 4 hours