-x^2(x-4)
simplify the equation

Answer: 4:42

Step-by-step explanation:

4:30 + 0:12 = 4:42

Part A: Note that the best graphical representation to use for this kind of data is a Histogram.

Part B : Creating the historgram means you have to first chose the intervals for the data.

When it comes to displaying the distribution of a set of continuous data, histograms offer an appropriate visualization method.

This display type divides the data into intervals and plots the number of observations that fall within each interval, hence providing frequency distribution information.

For instance, in creating a histogram for this particular dataset, one can choose intervals or bins with sizes e.g. 5 units covering a range between 0 and 30 before tabulating the count of observed variables in each bin and plotting these counts on the chart's vertical axis.

A histogram illustrates how often students ate breakfast within a 30-day timeframe. This frequency distribution features labeled axes, with the vertical axis representing "Frequency" and the horizontal axis depicting "Number of times students ate breakfast."

Each bar on the horizontal axis corresponds to an interval and shows its frequency on a scaled height basis.

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The expected number of people over 70 years old in that country in 2050 is given as follows:

D) 5.40 million.

The expected number of people over 70 years old in that country in 2050 is obtained applying the proportions in the context of the problem.

The expected population of that country in 2050 is given as follows:

180 million.

Hence the expected population of the country over 70 years old, equivalent to a percentage of 3%, is obtained as follows:

0.03 x 180 million = 5.4 million.

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The condition that must be true in order to get a correct answer will be that the number found in the columns of the first matrix must be equal to the numbers in the rows of the second matrix.

A matrix is a rectangular arrangement of numbers that can be used to demonstrate mathematical properties. Often, two or three matrices can be evaluated to determine an outcome.

For the given matrices, a × b  and c x d the only way to arrive at a correct answer will be if the figures found in the columns of the first matrix equal the figures found in the rows of the second matrix.

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Answer:

The correct answer is A.

Step-by-step explanation:

The correct answer is A.

To find the length of one side of the square, we need to take the square root of the area. Therefore, the square root of 90 is approximately 9.49 feet. Since this value falls between 9 feet and 10 feet, but is closer to 9 feet, the statement "√90 feet is between 9 feet and 10 feet but is closer to 9 feet" is true. So, Jimmy should cut the carpet to 9.49 feet to fit the square-shaped room.

Note that the graph of the function f(x) = a(b)^x is attached accordingly. Here a = 8 and b = 5

f(x) = a(b^x)......1

from the graph we can see that

When x = 0, y = 8

f(0) = 8

8 = a(b^0)
8 = a x 1

a = 8


f(1) = 4

4 = a(b^1)
4 = ab
8b = 4
b = 0.5

Thus a = 8 and b = 5

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Full Question:

Another copy machine also has the ability to reduce image dimensions, but by a different percentage. This graph shows the results found when copying a design x times. Use the graph to write the equation modeling this relationship

Enter the correct answer in the box by replacing the values of a and b.

f(x) = a(b)^x

To install the gas riser in 10 days, a total number of 11 plumbers would be needed.

We can use the formula:

(number of workers) × (time) = (constant amount of work)

Let's let x be the number of plumbers needed to install the gas riser in 10 days. We can set up the equation:

(7 workers) × (15 days) = (x workers) × (10 days)

Simplifying the left side, we get:

105 worker-days = (x workers) × (10 days)

Dividing both sides by 10 days, we get:

10.5 workers = x

Since we can't have a fraction of a worker, we need to round up to the nearest whole number.

Therefore, we would need 11 plumbers to install the gas riser in 10 days.

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Answer:

Answer: Test One

Parent 1: FF

Parent 2: FF

Phenotype ratio:

short fur: long fur

Test Two

Parent 1: Ff

Parent 2: FF

Phenotype ratio:

short fur: long fur

Test Three

Parent l: ff

Parent 2: ff

Phenotype ratio:

short fur: long fur

Step-by-step explanation:

Answer: Test One

Parent 1: FF

Parent 2: FF

Phenotype ratio:

short fur: long fur

Test Two

Parent 1: Ff

Parent 2: FF

Phenotype ratio:

short fur: long fur

Test Three

Parent l: ff

Parent 2: ff

Phenotype ratio:

short fur: long fur

Answer:

Step-by-step explanation:

54 - 18 = 36

so...

18 + 36 = 54

If in the set A ⊂ B then the statement A U B = B

A set is a collection of well defined items.

Since we have A ⊂ B, we want to determine which statement of the set is true. To determine that, we proceed as follows.

So, if A ⊂ B then the statement A U B = B

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Answer:

22

Step-by-step explanation:

4

The function is invertible and the inverse of the function is y = -3 + √[ (x + 4)/-2]

From the question, we have the following function that can be used in our computation:

y=-2(x+3)^2-4

Swap the variables x and y

So, we have

x = -2(y + 3)^2 - 4

Add 4 to both sides

-2(y + 3)^2 = x + 4

Divide both sides by -2

(y + 3)^2 = (x + 4)/-2

Take the square root and subtract 3 from both sides

y = -3 + √[ (x + 4)/-2]

This represents the inverse of the function

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The Explanation of decimal place value is like place value with whole numbers is shown below.

We know,

Each place value to the left of a whole number is multiplied by ten, but a place value to the right of a decimal number is divided by ten.

For example,

We take whole number 254 where place values are

2- Hundred, 5- Tens and 4- Ones

and, take the decimal 2.369 where the place values are

3- Tenth, 6- hundredth and 9- thousandth

So, both decimal and whole number have similar concept of place value but one is multiplied by 10 and other is divided by 10.

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The value of 5cos(tetha) + 4/sin(beta) is 9

Complementary angles are two angles that sum up to 90°. This means that in a right angled triangle sin( beta) is thesame as cos(90-tetha) and cos (beta) is sin(90-tetha).

Examples of complementary angles include: 30 and 60, 50 and 40 e.t.c

Therefore if tan ( tetha ) = 3/4, and tan(tetha) = opp/adj. This means opp is 3 and adj is 4

therefore hyp = √3²+4²

= √9+16 = √25

= 5

therefore cos(tetha) = 4/5

and sin beta = 4/5

therefore 5cos(tetha) + 4/sin(beta) = 5 × 4/5 +(4÷4/5)

= 4+5 = 9

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The given statement "If data set A has a larger standard deviation than data set B, data set A is more spread out than data set B" is true.

The standard deviation is a measure of a data set's dispersion. It tells us how far the data values are from the mean.

A larger standard deviation means that the data points are more spread out, i.e., they are farther from the mean.

Therefore, if data set A has a standard deviation that is greater than data set B, it means that the values in data set A are more spread apart.

Hence, the given statement is true.

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The box in a box plot represents the middle 50% of the data (E) and the interquartile range (F).

The equivalent value of the expression is A = 12 + 6x + 6x + 6y

Given data ,

Let the expression be represented as A

Now , the value of A is

A = 6(2 + x + x + y)

On simplifying the equation , we get

A = 6 ( 2 ) + 6x + 6x + 6y

On further simplification , we get

A = 12 + 6x + 6x + 6y

Hence , the expression is A = 12 + 6x + 6x + 6y

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The complete question is attached below :

which expression uess exactly terms and is equivalent to 6(2 + x + x + y)

The name of the shape Kimberly forms by connecting the points is a plane shape

From the question, we have the following parameters that can be used in our computation:

A shape is formed by connecting points

As a general rule; shapes formed by connecting points are referred to as plane shapes, and examples of them are:

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Answer:

P((1 + r)^6) = 1,675.80

P((1 + r)^5) = 1,606.50

------------------------------

b) 1 + r = 266/255, so r = 11/255 = .04 = 4%

a) P((1 + 11/255)^5) = 1,606.50

P = $1,300.69

The value of the length x is 2√70. Option C

To determine the value of the length of the triangle, we need to consider the different trigonometric identities, they are;

Now, using the Pythagorean theorem, we have;

17² = x² + 3²

Find the square values and substitute

289 = x² + 9

collect the like terms

x² = 289 - 9

Subtract the values

x² = 280

Find the square root of both sides

x = √280

Find the values

x = √4× 70

x = 2√70

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Answer: Therefore, the probability of not landing on blue when spinning the spinner once is 62.5%.

Step-by-step explanation:  There are 8 sections on the spinner, and 3 of them are blue. Therefore, the probability of landing on blue is:

P(blue) = 3/8 = 0.375

The probability of not landing on blue is the complement of the probability of landing on blue:

P(not blue) = 1 - P(blue) = 1 - 0.375 = 0.625

To convert this probability to a percentage, we can multiply by 100:

P(not blue) = 0.625 x 100% = 62.5%

The lowest average he could obtain on his next two tests and still receive an A is 93 or higher.

To receive an average of 90 or better, W. Orrier needs to score a total of 540 points or more on all six tests

(90 x 6 = 540).

He has already scored a total of 88.5 x 4 = 354 points on his first four tests.

Therefore, he needs to score a total of 540 - 354 = 186 points on his next two tests.

To find the lowest average he could obtain on his next two tests, he needs to divide 186 by 2

186 ÷ 2 = 93.

Therefore, the lowest average he could obtain on his next two tests and still receive an A is 93 or higher.

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The proportion of the babies born

Given that

Uniform Distribution from 1 – 53

This means that

a = 1 and b = 53

So, we have

Mean = (a + b)/2 = (1 + 53)/2 = 27

Standard deviation = √[(b – a)² / 12] = √[(53 – 1)² / 12] = 15

After the 40th week of the year

The z-score is calculated as

z = (x - mean)/Standard deviation

So, we have

z = (40 - 27)/15 = 0.8667

So, we have

Proportion = P(z > 0.8667)

Proportion = 80.7%

Before the 10th week of the year

z = (10 - 27)/15 = -1.133

So, we have

Proportion = P(z < -1.133)

Proportion = 12.9%

Between the 10th and 40th week of the year

This is calculated as

Proportion = (-1.133 < z < 0.8667)

So, we have

Proportion = 67.8%

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Thermal energy and heat transfer principles guide the design of efficient systems, minimizing heat loss and maximizing performance.

It is crucial to take into account a number of aspects that may impact the functionality and efficiency of systems and objects that include thermal energy and heat transmission. You would need to take into account things like the kind and quantity of heat source, the materials utilized, the insulation, and the processes employed for heat transfer, for instance.

Additionally, you would have to think about ways to increase heat transmission effectiveness and reduce heat loss. High thermal conductivity materials may be used, or the system may be designed to have more heat-transfer surface area.

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The population of Kentucky is nearly 5.9 times that of North Dakota.

To determine how many times larger Kentucky's population is than North Dakota's population, divide Kentucky's population by North Dakota's population:

4.47 x 10^6 / 7.62 x 10^5

We can simplify the fraction by dividing both the numerator and denominator by 7.62 x 10: 4.47 x 106 / 7.62 x 105 = 5.87

5.9, rounded to the closest tenth.

As a result, the population of Kentucky is nearly 5.9 times that of North Dakota.

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The rate of change of the function g(x) in the interval -9 ≤ x ≤ -1 is  1

The rate of change of a function y = f(x) on the interval [a, b] is given by the formula below:

R = (f(b) - f(a))/(b - a)

Here the function is g(x) = -x² − 9x + 27 and the interval is [-9, -1], we can evaluate g(x) in both ends of our interval, then we will get the two values needed for the numerator, here we will get:

g(-1) =  -(-1)² − 9*-1 + 27 = -1 + 9 + 27 = 35

g(-9) = -(-9)² -9*-9 + 27 = 27

Replacing that in the formula we can get the rate of change is:

R = (35 - 27)/(-1 + 9) = 8/8 = 1

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Answer:

  u = -4

Step-by-step explanation:

You want the solution to the equation 16u -5u +18 = 3u -14.

The equation can be simplified by combining like terms:

  11u +18 = 3u -14

Adding (-18-3u) to both sides, we have ...

  8u = -32

  u = -32/8 = -4 . . . . . . divide by the coefficient of u

The solution is u = -4.

Answer:

a. The mean of the data set is:

(146 + 153 + 155 + 160 + 161) / 5 = 155

b. The deviation from the mean for each data item is:

146 - 155 = -9

153 - 155 = -2

155 - 155 = 0

160 - 155 = 5

161 - 155 = 6

c. The sum of the deviations from the mean is:

-9 + (-2) + 0 + 5 + 6 = 0

Note that the sum of the deviations from the mean is always zero, since the positive deviations cancel out the negative deviations.

Step-by-step explanation:

For a RIGHT triangle   tan Φ = opposite leg / adjacent leg

 for this triangle

         tan 71 = x / 5.7

       5.7 * tan 71 = x    =   16.6  units

The polynomial long division of (5x^4 − 2x^3 − 7x^2 − 39) ÷ (x^2 + 2x − 4) gives a quotient of 5x^2 - 12x + 37

From the question, we have the following parameters that can be used in our computation:

(5x^4 − 2x^3 − 7x^2 − 39) ÷ (x^2 + 2x − 4)

Using the polynomial long division setup, we have

x^2 + 2x − 4   |  5x^4 − 2x^3 − 7x^2 − 39

Evaluating the division, we have

                         5x^2 - 12x + 37

x^2 + 2x − 4   |  5x^4 − 2x^3 − 7x^2 − 39

                         5x^4  + 10x^3 - 20x^2

                         ---------------------------------------

                                      -12x^3 + 13x^2 - 39

                                      -12x^3 - 24x^2 - 48

                         ---------------------------------------

                                                    37x^2 + 9

                                                    37x^2 + 74x - 148

                         ---------------------------------------

                                                    -74x + 157

Hence, the quotient is 5x^2 - 12x + 37

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