Hi! Is there anyone good with finding the surface area of something? If so, please comment. If you do help me, I will give you 5 star every time you help.

A. Commutative property of addition

B. Distributive property

C. Commutative property of addition

D. Associative property of multiplication

\(h(x) = \sqrt{x - 2} + 3\)

A constant inside the square root will make the graph shift either left to right, depending on the number. From the equation. The graph shifts to right two units.

A constant outside the square root will make the graph shift up or down, depending the value. From the equation, the graph shifts up 3 units.

Answer:

Step-by-step explanation:

second graph

The probability was broken by Bob is, 0.003 or 3%.

What is probability?

Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A number between 0 and 1 represents the likelihood of an event, with 0 generally denoting impossibility and 1 denoting certainty.

Alonzo, Bob, and Casper are each assigned three chances to bus tables and to fix any broken dishes, respectively.

P(Alonzo bussing tables) = 50% = 0.5

P(Bob bussing tables) = 15% = 0.15

P(Casper bussing tables) = 35% = 0.35

P(Alonzo breaking a dish) = 6% = 0.06

P(Bob breaking a dish)  = 2% = 0.02

P(Casper breaking a dish)  = 4% = 0.04

As the likelihood of dish breakage does not change with the busing of the tables, this is all about independent events.

Consequently, P(A and B) = P(A) + P (B)

So, if a dish is broken, the likelihood that Bob broke it is;

P(Bob breaking dishes and busing tables) = P(Bob busing tables) x P (Bob breaking a dish)

                                                                       = 0.15 x 0.02

                                                                       = 0.003

P(Bob breaking dishes and busing tables)  = 0.003 0r 0.3%

Hence, the probability was broken by Bob is, 0.003 or 3%.

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By using the power rule of integration, the solution for F(x) is: F(x) = \(4x^4 + 7x^2 + 7x - 23\)

To find F, we need to integrate F'(x) with respect to x.
So, F(x) = ∫(16x³ + 14x + 7) dx
Using the power rule of integration, we can integrate each term separately.
∫(16x³) dx = \(4x^4\) + C1
∫(14x) dx = 7x² + C2
∫(7) dx = 7x + C3
Adding all of these results, we get:
F(x) = \(4x^4\) + 7x² + 7x + C
Now, we need to use the initial condition F(1) = -5 to solve for the constant C.
F(1) = \(4(1)^4\) + 7(1)² + 7(1) + C = -5
Simplifying this equation, we get:
4 + 7 + 7 + C = -5
C = -23
Therefore, the solution for F(x) is: F(x) = \(4x^4 + 7x^2 + 7x - 23\)

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Answer:

5:1 is the unit rate hoping I am right

The A 5 gallons of water will pour through the hose in 8 minutes.

The formula to be used for calculation of amount of water pouring through hose :

Total amount of water = amount of water pouring per minute × amount of time (in minutes)

Keep the values in formula to find the total amount of water

Total amount of water = 2.5 × 8

Performing multiplication on Right Hand Side of the equation

Total amount of water = 20 quarts

Now performing unit conversion

Amount of water in gallon = amount of water in quarts × 0.25

Amount of water in gallon = 20 × 0.25

Amount of water = 5 gallon

Hence, the correct answer is A 5.

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Answer:

Is 50

Step-by-step explanation:

I don’t know

To determine if the experimental probability for getting a 6 is close to the theoretical probability, we need to compare the observed frequency of rolling a 6 to the expected probability based on a fair six-sided die.

In the given list of rolls, we have a total of 20 rolls. To calculate the experimental probability of rolling a 6, we count the number of times a 6 appears and divide it by the total number of rolls.

From the list, we can see that a 6 appears 6 times. Therefore, the experimental probability of rolling a 6 is:

Experimental probability = Number of 6's / Total number of rolls = 6/20 = 0.3

Now let's compare this experimental probability to the theoretical probability. In a fair six-sided die, each face has an equal chance of occurring, so the theoretical probability of rolling a 6 is 1/6 ≈ 0.1667.

Comparing the experimental probability of 0.3 to the theoretical probability of 0.1667, we can see that the experimental probability is higher than the theoretical probability for rolling a 6.

Therefore, the statement "the experimental probability for getting a 6 is close to the theoretical probability" is false. The experimental probability is higher than the theoretical probability in this case.

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The next letters in the pattern are 6 and -7.The given pattern alternates between positive and negative numbers. By observing the pattern, we can determine the next numbers in the sequence.

The first number, 2, is positive. The second number is obtained by taking the negative of the previous number and subtracting 1. Therefore, -2 - 1 = -3.The third number is positive and is obtained by taking the absolute value of the previous number and adding 1. Therefore, |-3| + 1 = 4.

The fourth number is negative and is obtained by taking the negative of the previous number and subtracting 1. Therefore, -4 - 1 = -5.

Following this pattern, the next number will be positive and obtained by taking the absolute value of the previous number and adding 1. Therefore, |-5| + 1 = 6.

The next number after 6 will be negative and obtained by taking the negative of the previous number and subtracting 1. Therefore, -6 - 1 = -7.

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The heart rate increases gradually during the initial stages of exercise and then it increases sharply.

The graph represents a person’s heart rate in beats per minute during 30 minutes of exercise.

The best statement that describes the relationship between heart rate and time during exercise is that the heart rate increases gradually during the initial stages of exercise and then it increases sharply.

Heart rate (HR) is the number of heartbeats per unit of time, generally expressed as beats per minute (BPM), that an individual's heart pumps per minute (bpm).

The pulse is usually determined by evaluating arterial blood flow in any blood vessel that can be palpated near the surface of the skin at various points on the body (peripheral pulse).

Exercise is any physical activity that improves or sustains physical health, overall well-being, and/or athletic ability while also providing entertainment.

Exercise may be done on a regular basis, such as daily, or at a specific time, such as when athletes participate in athletic activities.

Exercise may be performed in a variety of settings, including health clubs, the outdoors, or one's own home.

Given the graph of a person's heart rate during 30 minutes of exercise, the heart rate is seen to increase gradually at the beginning of the exercise, then increase sharply before remaining constant for a short period before decreasing slowly over time.

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An ellipse's form is determined by two locations inside the ellipse known as its foci.

The lengths of the main and minor axes of an ellipse may be used to calculate its foci.

The foci of an ellipse may be calculated using a variety of online calculators.

These calculators normally ask the user to enter the main and minor ellipse axes' lengths before calculating the foci's coordinates. Depending on the calculator in question, some may additionally ask for more details like the ellipse's eccentricity or center of rotation.

Understanding an ellipse's shape and characteristics requires knowing its foci since they are what characterize an ellipse.

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Since these are the only two categories that contain oil, the probability of finding oil is the sum of the probabilities of finding high-quality oil and medium-quality oil.

Given that to find

P(finding oil) = P(high-quality oil) + P(medium-quality oil)

= 0.50 + 0.20

= 0.70

Thus the probability of finding oil is 0.70, or 70%.

Probability is a measure of how likely an event is to occur. It is a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain. The probability of an event is calculated by dividing the number of possible outcomes by the number of favourable outcomes.

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Answer:

15 yards

Step-by-step explanation:

3 feet = 1 yard

45 ÷ 3 = 15

To show that the matrix A = [XX - X'Z(ZZ)^(-1)Z'X] is positive definite, we need to demonstrate two properties: (1) A is symmetric, and (2) all eigenvalues of A are positive.

Symmetry: To show that A is symmetric, we need to prove that A' = A, where A' represents the transpose of A. Taking the transpose of A: A' = [XX - X'Z(ZZ)^(-1)Z'X]'. Using the properties of matrix transpose, we have:

A' = (XX)' - [X'Z(ZZ)^(-1)Z'X]'. The transpose of a sum of matrices is equal to the sum of their transposes, and the transpose of a product of matrices is equal to the product of their transposes in reverse order. Applying these properties, we get: A' = X'X - (X'Z(ZZ)^(-1)Z'X)'.  The transpose of a transpose is equal to the original matrix, so: A' = X'X - X'Z(ZZ)^(-1)Z'X. Comparing this with the original matrix A, we can see that A' = A, which confirms that A is symmetric.  Positive eigenvalues: To show that all eigenvalues of A are positive, we need to demonstrate that for any non-zero vector v, v'Av > 0, where v' represents the transpose of v. Considering the expression v'Av: v'Av = v'[XX - X'Z(ZZ)^(-1)Z'X]v

Expanding the expression using matrix multiplication : v'Av = v'X'Xv - v'X'Z(ZZ)^(-1)Z'Xv. Since X and Z have full column rank, X'X and ZZ' are positive definite matrices. Additionally, (ZZ)^(-1) is also positive definite. Thus, we can conclude that the second term in the expression, v'X'Z(ZZ)^(-1)Z'Xv, is positive definite.Therefore, v'Av = v'X'Xv - v'X'Z(ZZ)^(-1)Z'Xv > 0 for any non-zero vector v. Implications in econometrics: In econometrics, positive definiteness of a matrix has important implications. In particular, the positive definiteness of the matrix [XX - X'Z(ZZ)^(-1)Z'X] guarantees that it is invertible and plays a crucial role in statistical inference.

When conducting econometric analysis, this positive definiteness implies that the estimator associated with X and Z is consistent, efficient, and unbiased. It ensures that the estimated coefficients and their standard errors are well-defined and meaningful in econometric models. Furthermore, positive definiteness of the matrix helps in verifying the assumptions of econometric models, such as the assumption of non-multicollinearity among the regressors. It also ensures that the estimators are stable and robust to perturbations in the data. Overall, the positive definiteness of the matrix [XX - X'Z(ZZ)^(-1)Z'X] provides theoretical and practical foundations for reliable and valid statistical inference in econometrics.

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II and III only distributions has a mean that varies

The mean of a distribution is a measure of the central tendency of the data, and it can vary depending on the sample being analyzed.

For the population distribution, the mean is a fixed value that is calculated using all of the data in the population. The mean of the population distribution does not vary.

For the distribution of sample data, the mean is calculated using the data in the sample. If you take different samples from the same population, the mean of each sample will be different, so the mean of the distribution of sample data varies.

For the sampling distribution of the sample mean, the mean is calculated using the means of multiple samples. The mean of the sampling distribution is known as the population mean. As with the distribution of sample data, the mean of the sampling distribution varies depending on the samples that are used to calculate it.

Therefore, the mean of the distribution of sample data and the sampling distribution of the sample mean both vary, while the mean of the population distribution does not vary.

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t approaches infinity then salt is:

\(Q(\infty) = 18lb\)

What is volume?

Volume is a mathematical term used to describe how much three-dimensional space an object or closed surface occupies. Volume is measured in cubic units like m3, cm3, in3, etc. Volume is sometimes referred to as capacity.

The amount of salt in the barrel at time t is given by

where Q(t) is in pounds and time t is in minutes.

(a) Salt after 5 minutes i.e. t=5

\(Q(5) = 18(1 - e^{-0.08(5)} ) = 18(1 - e^{-0.4})\\\\Q(5) = 18(1 - 0.6703) = 5.93 \\\\Q(5) = 5.93lb\)

(b) Salt after 10 minutes i.e. t=10

\(Q(10) = 18(1 - e^{-0.08(10)} ) = 18(1 - e^{-0.8} )\\\\Q(10) = 18(1 - 0.4493 ) = 9.91\\\\Q(10) = 9.91lb\)

(d) When t becomes large, let say when t approaches infinity then salt is

\(Q(\infty) = 18(1 - e^{-0.08(\infty)} ) = 18(1- e^{-\infty})\\\\Q(\infty) = 18(1 - 0) = 18\\\\Q(\infty) = 18lb\)

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Answer:

52 breakfast more sandwiches

Step-by-step explanation:

\(486 + 538 = 1024\)

\(1024 - 972 = 52\)

The correlation for the resulting data, when each of the X values were multiplied by 2, is r=0.10.

Explanation:

Given that, a set of n=15 pairs X and Y values has a Pearson correlation of r=0.10. And, in each of the X values were multiplied by 2, then we need to calculate the correlation for the resulting data.

When each of the X values is multiplied by 2, then the resulting correlation does not change. It is because the correlation coefficient of Pearson, r, only measures the linear relationship between two variables and not the scale of the variables.

Thus, the correlation for the resulting data, when each of the X values were multiplied by 2, is r=0.10.

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Answer:

The time it would take to inflate the balloon to approximately two-thirds of its maximum volume is approximately 46.90 minutes

Step-by-step explanation:

The given parameters are;

The diameter of  the balloon  = 55 feet

The rate of increase of the radius of the balloon when inflated = 1.5 feet per minute

We have;

dr/dt = 1.5 feet per minute = 1.5 ft/min

V = 4/3·π·r³

The maximum volume of the balloon = 4/3 × 3.14 × 55³ = 696556.67 ft³

When the volume is two-thirds the maximum volume, we have;

2/3 × 696556.67 ft³ = 464371.11 ft³

The value of the radius, r₂ at that point is found as follows;

4/3·π·r₂³ = 464371.11 ft³

r₂³ = 464371.11 ft³ × 3/4 = 348278.33 ft³

348278.333333

r₂ = ∛(348278.33 ft³) ≈ 70.36 ft

The time for the radius to increase to the above length = Length/(Rate of increase of length of the radius)

The time for the radius to increase to the above length ≈ 70.369 ft/(1.5 ft/min) ≈ 46.90 minutes

The time it would take to inflate the balloon to approximately two-thirds of its maximum volume ≈ 46.90 minutes.

The 90% confidence interval for the probability of flipping a head with this coin is approximately b. [0.339, 0.501], which corresponds to option b). [0.339, 0.501].

Calculate the sample proportion (p-hat):

p-hat = number of heads / total flips = 42/100 = 0.42

Determine the confidence level, which is 90% in this case.

Find the corresponding z-score for the confidence level.

For a 90% confidence level, the z-score is approximately 1.645.

Calculate the standard error:

\(SE = \sqrt{(p-hat \times (1 - p-hat) / n)}  = \sqrt{ (0.42 \times 0.58 / 100)} = 0.0496\)

Calculate the margin of error:

ME = z-score × SE = 1.645 × 0.0496 ≈ 0.0816

Determine the confidence interval:

CI = (p-hat - ME, p-hat + ME)

= (0.42 - 0.0816, 0.42 + 0.0816)

= (0.3384, 0.5016)

Therefore, option b.[0.339, 0.501] is correct.

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Answer:

35 min

Step-by-step explanation:

given that the total time spent is 140min

and that the time spent reading is x minutes

and also that the time spent doing home work is 2(x+5)

the time spent playing video game is 25

the expression for the total time is given as

total = reading +homework +video game

140=x+2(x+5)+25

solving for x we have

140=x+2x+10+25

140=3x+35

140-35=3x

105=3x

x=105/3

x=35

kenny spent 35 min reading

Time spend for reading is 35 minutes

Given that;

Total number of minutes Kenny have = 140 minutes

Time spend for reading = x

Time spend for homework = 2(x + 5) = 2x + 10

Time spend for games = 25 minutes

Find:

Time spend for reading

Computation:

Total number of minutes Kenny have = Time spend for reading + Time spend for homework + Time spend for games

140 = x + 2x + 10 + 25

3x + 35 = 140

3x = 105

x = 105 / 3

x = 35

So,

Time spend for reading = 35 minutes

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If I earned $2 more than Andrew at the end of the day, then the value of t  is \(1\frac{2}{3}\)

Number of hours that I used to work = 1 hour

My hourly pay =  $3t - 3

My total pay at the end of the day = Number of hours x hourly pay

My total pay at the end of the day = 1 (3t - 3)

My total pay at the end of the day = $ 3t - 3

Number of hours that Andrew used to work = 3t -5 hour

Andrew's hourly pay =  $2

Andrew's total pay at the end of the day = Number of hours x hourly pay

Andrew's total pay at the end of the day = 2 (3t - 5)

Andrew's total pay at the end of the day = $ 6t - 10

At the end of the day, I earned $2 more than Andrew

My total pay = Andrew's total pay + 2

3t - 3   =  6t - 10  +  2

6t  -  3t  =  -3 +10 - 2

3t  =  5

t  =  5/3

\(t = 1\frac{2}{3}\)

If I earned $2 more than Andrew at the end of the day, then the value of t  is \(1\frac{2}{3}\)

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Answer:

(x - 4)(x - 12)

Step-by-step explanation:

Given

x² - 16x + 48

Consider the factors of the constant term (+ 48) which sum to give the coefficient of the x- term (- 16)

The factors are - 4 and - 12, since

- 4 × - 12 = + 48 and - 4 - 12 = - 16 , thus

x² - 16x + 48 = (x - 4)(x - 12)

Answer:

the correct option is (x-4)(x-12)

Step by Step explanation:-

x^2-16x+48

x^2-12x-4x+48

by taking the common factor out,

x(x-12)-4(x-12)

(x-4)(x-12)

Hope it helps you!

Answer:

θ ≈ 50°, AB ≈ 15.6

Step-by-step explanation:

Using the tangent ratio in the right triangle

tanθ = \(\frac{opposite}{adjacent}\) = \(\frac{BC}{AC}\) = \(\frac{11.9}{10}\) = 1.19 , then

θ = \(tan^{-1}\) (1.19 ) ≈ 50° ( to the nearest degree

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

Using the cosine ratio in the right triangle

cos50° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{AC}{AB}\) = \(\frac{10}{AB}\) ( multiply both sides by AB )

AB × cos50° = 10 ( divide both sides by cos50° )

AB = \(\frac{10}{cos50}\) ≈ 15.6 ( to 1 dec. place )

The ratios of (a) square kens to square meters (1 ken² / 1 m²) is 3.88

For given question,

We have been given the unit conversion.

A traditional unit of length in Japan is the ken

and 1 ken = 1.97 m

We need to find the the ratios of (a) square kens to square meters.

First we find the square of 1 ken.

⇒ 1 square kens = (1.97 m)²

⇒ 1 square kens = 1.97 × 1.97 m²

⇒ 1 square kens = 3.88 m²                  ..................(1)

And 1 square meters = 1 m²                 ................. (2)

Now we take the ratio of square kens to square meters.

From (1) and (2),

⇒ 1 ken² / 1 m² = 3.88 / 1

⇒ 1 ken² / 1 m² = 3.88

Therefore, the ratios of (a) square kens to square meters (1 ken² / 1 m²) is 3.88

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Answer:

29.50 degrees to the nearest hundredth.

Step-by-step explanation:

First we can find the measure of < CGB by using the Cosine Rule:

cos <CGB = (11^2 - 5.3^2 - 6.9^2) / (-2 * 5.3 * 6.9)

= -0.61936

So m < CGB = 128.27 degrees.

Now we can find the measure of x by using the Sine Rule:

11 / sin 128.27 = 6.9  / sin x

sin x =  6.9 * sin 128.27 / 11

= 0.49248

x = 29.5035 degrees

Answer:

x is around 29.5

Step-by-step explanation:

Let's just use the law of cosines.

\(c^2 = a^2 + b^2 - 2ab\cos\angle (ab)\\\\6.9^2 = 5.3^2 + 11^2 - 2\cdot5.3\cdot11\cdot \cos x^{\circ}\\47.61 = 28.09 + 121 - 116.6\cdot\cos x^{\circ}\\~\\cos x^{\circ} = \frac{149.09 - 47.61}{116.6} = \frac{101.48}{116.6}\\~\\x^{\circ} = \arccos\frac{101.48}{116.6}\\~\\x^{\circ} \approx 29.5^\circ\)

Answer:

20

Step-by-step explanation:

-3x+20=-5x+20+2x

reduced:

-3x+20=-3x+20

subtract 20 from each side

Then

-3x=-3x

the first is  and answer and so is the 2

Answer:

a < -3

Step-by-step explanation:

10a + 8 < 9a + 5

Subtract 9a from both sides.

a + 8 < 5

Subtract 8 from both sides.

a < -3

Answer:

a < -3

Step-by-step explanation:

Given the inequality:

\(\displaystyle{10a+8 < 9a+5}\)

Solving a linear inequality is like solving a linear equation, you isolate a-term. Thus, subtract both sides by 9a:

\(\displaystyle{10a+8-9a < 9a+5-9a}\\\\\displaystyle{a+8 < 5}\)

Subtract both sides by 8:

\(\displaystyle{a+8-8 < 5-8}\\\\\displaystyle{a < -3}\)

Therefore, the solution is a < -3