Why is it important to control all variables except one when studying cause-and-effect relationships.

The intervals where the graph is decreasing are given as follows:

The behavior of the function regarding increase or decrease depends on the orientation of the graph, as follows:

Hence the intervals describing the behavior of the function are given as follows:

The decreasing interval can be divided into two intervals, as follows:

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Answer:

I think ir is 2 -2

Step-by-step explanation:

hope it helps

The value of the numerical expression 12 × [6.3 + 3 × (1.9)] will be 144.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The numerical expression is given below.

⇒ 12 × [6.3 + 3 × (1.9)]

Simplify the numerical expression, then we have

⇒ 12 × [6.3 + 3 × (1.9)]

⇒ 12 × [6.3 + 5.7]

⇒ 12 × 12

⇒ 144

The value of the numerical expression 12 × [6.3 + 3 × (1.9)] will be 144.

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Answer:

I believe it is 3/4

Step-by-step explanation:

Answer:

Q1 : Ruppell's Giffrons

Q2 :

sperm whales

dolphins

missing birds

Ruppell's Giffrons

Step-by-step explanation:

I don't know if I can see the full picture, as it is clearly cut off.

my answers are based on what I can see :

Giffrons, migrating birds, dolphin and sperm whale.

here are the reasons for my 2 answers :

sea level = elevation of 0 ft. so, this is "point" 0.

Q1 now asks about what of the listed animals can move the farthest away from 0.

and distance is always positive. now matter the direction we are going. if we go from 0 to +5, the distance is 5. and if we go from 0 to -5, the distance is also 5.

so, we are looking for the animal with the largest absolute value of elevation it can reach.

and that are the Ruppell's Giffrons with 37000 ft. 37000 is much farther away from 0 than e.g -3000. and so on.

Q2 wants us to sort the animals based on their reachable elevations.

by the way, the correct words would be "lowest to highest". as this is how elevation works on scales.

and remember, negative values get actually larger in their absolute values, when we make them smaller.

-2 is smaller than -1.

therefore, the animal that can get the lowest of all here is the sperm whale.

then comes the dolphin.

then the migration birds.

and then the Ruppell's Giffrons.

The Brown Spider Monkey can travel at the greatest distance from sea level compared to the other mentioned animals. The order of elevations from least to greatest would be Blue Whale, Mountain Lion, Mountain Goat, and Brown Spider Monkey.

The animal that can travel at the greatest distance from sea level is the Brown Spider Monkey. It is found in the tropical rainforests of South America and can live at elevations of up to 9,000 feet (2,700 meters) above sea level. The other animals mentioned, Mountain Goat, Blue Whale, and Mountain Lion, are all restricted to lower elevations.

In terms of elevations from least to greatest, the order would be:

Blue Whale - Lives in the ocean at sea level

Mountain Lion - Found in various habitats including mountains and plains

Mountain Goat - Lives in mountainous regions

Brown Spider Monkey - Found in the tropical rainforests at high elevations

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In linear equations,   x = 5 is value of x .

What are instances of linear equations?

-7x-3x+2=-8x-8

-7x -3x + 8x = -8 - 2

 -10x + 8x = -10

  -2x = -10

   x = 5

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Answer:

7.3 hours per day.

Step-by-step explanation:

Just do 58.4 divided by 8 and you get 7.3.

*Hope this helps*

under the restrictions that c is negative to ensure strict concavity, the utility function u(w) = -(b - w)c displays increasing absolute risk aversion.

To ensure that u(w) is strictly increasing, we need the derivative of u(w) with respect to w to be positive for all values of w. Taking the derivative, we have du(w)/dw = -c. For u(w) to be strictly increasing, -c must be positive, which implies c must be negative.

To ensure that u(w) is strictly concave, we need the second derivative of u(w) with respect to w to be negative for all values of w. Taking the second derivative, we have d²u(w)/dw² = 0. Since the second derivative is constant and negative, u(w) is strictly concave.

Now, let's examine the concept of increasing absolute risk aversion. If a utility function u(w) exhibits increasing absolute risk aversion, it means that as wealth (w) increases, the individual becomes more risk-averse.

In the given utility function u(w) = -(b - w)c, when c is negative (as required for strict concavity), the absolute risk aversion increases as wealth (w) increases. This is because the negative sign implies that the utility function is concave, indicating that the individual becomes more risk-averse as wealth increases.

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During evaluation, Raya was wrong in step 2. She got the cube of -3 wrong. The correct value is -27 and not -9.

Given the expression, a³ - b³ / 5, where:

a = 2

b = -3

Substitute the values into the expression

Step 1: (2)³ - (-3)³ / 5

Evaluate

Step 2: 8 - (-27) / 5 (this is where Raya made a mistake, she had -9 instead of -27)

Step 3: 8 + 27/5

Step 4: 35/5 [addition]

Simplify

Step 5: 35/5 = 5 [division]

Thus, we can state that Raya was wrong in step 2. She got the cube of -3 wrong. The correct value is -27 and not -9.

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There about 24 hockey tickets were bought by Bryant. Out of which 14 tickets were child tickets.

A mathematical claim containing two equal algebraic expressions is known as an algebraic equation.

Given that the cost of an adult ticket is $5.50, and a child ticket is $2.00. The total spent is $83, and the total number of tickets bought is 24.

Let us consider the number of adult tickets bought is x and the number of children tickets bought is y.

Then x+y=24. From this, x=24-y.

Also, the given situation is written in an expression as,

\(\begin{aligned}5.50x+2.00y&=83\\5.50(24-y)+2.00y&=83\\132-5.50y+2.00y&=83\\-3.5y&=-49\\y&=14\end{aligned}\)

The required answer is 14.

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Answer:

486kg

Step-by-step explanation:

1. To find two starting terms for a Diginacci sequence such that the 2021st term is 11, we can work backward from the 2021st term to determine the preceding terms.

Let's denote the first term as a and the second term as b. We need to find the values of a and b that will result in the 2021st term being 11.

Working backward, we know that the 2021st term (which is 11) is the sum of the digits of the previous two terms. Let's denote the (2020)th term as x and the (2019)th term as y. Therefore, we have:

11 = x + y

2. To find a suitable pair of x and y, we can iterate through possible values. Since the first two terms can be any positive whole numbers, we have some flexibility in choosing them.

For example, let's try a = 1 and b = 1:

Term 1: 1

Term 2: 1

Term 3: 2

Term 4: 1

Term 5: 3

Term 6: 4

Term 7: 7

Term 8: 11

The 8th term is 11, which matches our target. Therefore, if we start with a = 1 and b = 1, the 2021st term will indeed be 11.

To find a Diginacci sequence that has no term equal to 11, we need to ensure that none of the subsequent terms sum up to 11.

One way to achieve this is to start with two terms that are relatively large and have no digits summing up to 11. Let's try a = 99 and b = 100:

Term 1: 99

Term 2: 100

Term 3: 19 (9 + 9)

Term 4: 10 (1 + 0)

Term 5: 1

Term 6: 1

Term 7: 2

Term 8: 3

Term 9: 5

Term 10: 8

Term 11: 13

Term 12: 12

Term 13: 7

Term 14: 10

...

By starting with a = 99 and b = 100, the Diginacci sequence continues without reaching the value 11. The terms keep changing without summing up to 11, as seen in the subsequent terms above.

Thus, this particular Diginacci sequence starting with a = 99 and b = 100 does not have any term equal to 11.

A, your current answer, is correct, as adding the angles together would result in an angle greater than 180, meaning you cannot deduce that from this information. The rest of the answers are true and can be deduced from the information.

Roger will need to sleep for 8 days before he has slept the equivalent of one day. This is because 3/8 of one day is 8/24 of a day, which is the same as one day.

To calculate how many days it will take Roger to sleep the equivalent of one day, we can use fractions. First, we need to convert the fractions in the table to fractions with a common denominator. The fractions in the table have denominators of 3, 8, 8 and 6 respectively. The least common multiple of these numbers is 24, so we can convert the fractions to 24ths. We can then add the fractions to calculate how much of a day Roger spends sleeping. 3/8 of one day is 8/24 of a day, and this is the same as one day. Therefore, it will take Roger 8 days to sleep the equivalent of one day.

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The weight of the package is 12 ounces

The given parameters are

Total amount = $2.76

Domestic rate = $.23 per ounce

The equation to determine the weight of the package is represented as:

Weight = Total amount/Domestic rate

Substitute the known values in the above equation

Weight = 2.76/.23

Evaluate the quotient

Weight = 12

Hence, the weight of the package is 12 ounces

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Answer:

Answer:

Step-by-step explanation:

1st expression:4a(a-b)

2nd expression:9a(a-b)

So L.C.M=a(a-b)4×9

=36a^2-36ab

From the calculation, the original number is obtained as 84.

We know that we are told in the question that in the question, we are required to obtain the number and that is what we are going to do below.

Let the tens digit be T and let the units digit be U

We can then write

10U+T = 10T+U-36

Since the reversed number is 36 less than the original number.

Then;

9U = 9T -36

Dividing both sides of the equation by  9

U = T -4

U=2U-4

U=4

T = 8

It then follows that the original number is 84.

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To form the negation of a conditional statement, we change the "if-then" connective to "if and only if", which is represented by the symbol "⟺". This is also known as the biconditional connective.

To form the negation of a conditional statement, we change the "if-then" connective to "if and only if", which is represented by the symbol "⟺". This is also known as the biconditional connective.

For example, the conditional statement "If it rains, then the ground is wet" can be negated by changing the "if-then" connective to "if and only if", resulting in "It is not the case that if it rains, then the ground is wet", which can be written symbolically as "It rains ⟺ The ground is not wet".

Note that the negation of a conditional statement is not equivalent to the inverse or converse of the statement. The inverse of a conditional statement involves negating both the hypothesis and the conclusion, while the converse involves switching the hypothesis and the conclusion.

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Answer:

4 units

Step-by-step explanation:

(0, 0 ) and (4, 0 )

since the y- coordinates are equal  then the distance between the points is the difference of the x- coordinates, that is

| 4 - 0 | = | 4 | = 4 or

| 0 - 4 | = | - 4 | = | 4 | = 4

Answer:

a) 23 and 24

b) see step-by-step

c) 23.2

Step-by-step explanation:

a)  find the greatest square number below 540?

    find the smallest square number above 540?

23² = 529   and   24² = 576

    529 < 540 < 576

⇒ √529 < √540 < √576

⇒ 23 < √540 < 24

Hence, √540 lies between 23 and 24

b) **I'm not sure how accurate they want this, so I've added several options**

√540 = 23.23790008...

23.23790008... - 23 = 0.2379000772...

0.2379000772... = 2,379,000,772 / 10,000,000,000

Therefore, √540 = 23 and 2,379,000,772 / 10,000,000,000

Or 23 and 2,379 / 10,000

Or 23 and 24/100 = 23 and 6/25

Or 23 and 2/10 = 23 and 1/5

c) (√540)² = 540

So we are looking for a number whose square is 540.

We know that √540 lies between 23 and 24 (from part a), so let's start with 23.5:

   23.5² = 552.25

552.25 > 540 so try a smaller number

   23.3² = 542.89

542.89 > 540 so try a smaller number

  23.2² = 538.24

538.24 < 540

  23.24² = 540.0976

540.0976 > 540

So √540 lies between 23.2 and 23.24, therefore, the decimal approximation is 23.2 to the nearest tenth place

The amount that'll be saved if the television was bought for cash is $1600.

Cash price of television = $10000

Amount paid through hire purchase will be:

= (20% × $10000) + ($800 × 12)

= (0.2 × $10000) + $9600.

= $2000 + $9600.

= $11600

The amount that could have been saved will be:

= $11600 - $10000.

= $1600

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Answer:

SSS

Step-by-step explanation:

Step-by-step explanation:

4a) The pressure of a basketball can have a large tolerance.

b) Writing an exam has a very low tolerance in terms of time allotment.

c) The amount of milk in a carton has a low tolerance.

The total number of chairs needed can be calculated by multiplying the number of rows by the number of chairs in each row, which gives 21 x 22 = 462 chairs.

To meet the given conditions, a total of 462 chairs are required. This can be achieved by arranging 22 chairs in each row, with the exception of the last row, which will have 20 chairs.

The total number of chairs needed can be calculated by multiplying the number of rows by the number of chairs in each row, which gives 21 x 22 = 462 chairs. This plan meets the given conditions because it ensures that there are an even number of chairs in each row, and the same number of chairs in each row except for the last row.

By using 22 chairs in each row, the total number of chairs is minimized while still meeting the conditions. This is because any fewer chairs in a row would result in an odd number of chairs in that row, violating condition 3. Furthermore, using 22 chairs in each row except for the last row ensures that the same number of chairs are in each row, satisfying condition 2. Overall, this plan provides an efficient and practical solution to setting up chairs for the audience members.

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The correct answer is:

scatter plot with points at (1,  6), (2,  4), (3, 2), (3, 6), (4, 1), (5, 4), (6, 2), and (9, 2), with a line passing through the coordinates (1, 6) and (5, 4).

What is the scatter plot?

A scatterplot shows the relationship between two quantitative variables measured for the same individuals. The values of one variable appear on the horizontal axis, and the values of the other variable appear on the vertical axis. Each individual in the data appears as a point on the graph.

We have given,

scatter plot with points at

(1,  6), (2,  4), (3, 2), (3, 6), (4, 1), (5, 4), (6, 2), and (9, 2),

The first option shows a line passing through the coordinates (1, 6) and (5, 4) which appears to fit the data.

Therefore, the correct answer is:

scatter plot with points at (1,  6), (2,  4), (3, 2), (3, 6), (4, 1), (5, 4), (6, 2), and (9, 2), with a line passing through the coordinates (1, 6) and (5, 4).

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