Question 4 (1 point)
If 2x + 8 = 16, what is the value of x+42
Answer:
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Need help plz

Answer:

Number of fish in 2006 = 845 fishes (Approx.)

Step-by-step explanation:

Given;

Number of fish in 2000 = 1,150 fishes

Decreasing rate = 5% per year

Find:

Number of fish in 2006

Computation:

Exponential decay function:

F = P[1-r]ⁿ

Number of year = 2006 - 2000

Number of year =  6 year

Number of fish in 2006 = 1,150[1-5%]⁶

Number of fish in 2006 = 1,150[1-0.05]⁶

Number of fish in 2006 = 1,150[0.95]⁶

Number of fish in 2006 = 1,150[0.735]

Number of fish in 2006 = 845.25

Number of fish in 2006 = 845 fishes (Approx.)

When we conclude that the results we have gathered from our sample are probably also found in the population from which the sample was drawn, we say that the results are statistically significant.

In statistical analysis, we use hypothesis testing to determine whether the results of a sample are likely to be representative of the population as a whole. If the results are statistically significant, we can infer that there is a low probability that the observed differences between the sample and the population occurred by chance alone.

This allows us to generalize the findings from the sample to the larger population with a reasonable degree of confidence.

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Answer:

1- Product of powers rule.

2- Quotient of powers rule.

3- Power of a power rule.

4- Power of a product rule.

5- Power of a quotient rule.

6- Zero power rule.

7- Negative exponent rule.

Step-by-step explanation:

Hope I helped! ^v^

Answer: D-neither

Step-by-step explanation:

-6+20=4+12

-9+15=6+9

Answer:

1/9

Step-by-step explanation:

If it’s a negative exponents you just use the reciprocal and multiply that by the power. In this case its, 1/3(1/3)=1/9

1/9

No negative signs since it’s multiplying by the reciprocal to the power

David, Jeff, and Paula have (7d)/3 books.

To find out how many books David, Jeff, and Paula have altogether in terms of d, we can use the given information as follows:

1. David has d books.
2. David has 3 times as many books as Jeff, so Jeff has d/3 books.
3. David has the same number of books as Paula, so Paula also has d books.

Now, to find the total number of books for all three of them, we simply add the number of books each person has:

Total books = David's books + Jeff's books + Paula's books
Total books = d + d/3 + d

To combine these terms, we can find a common denominator (in this case, 3):
Total books = (3d + d + 3d) / 3

Now, we can simplify the expression:
Total books = (7d) / 3

So, altogether, David, Jeff, and Paula have (7d)/3 books in terms of d.

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Hi

6 * (3+8)  =  6 * 11 = 66

Answer:

66

Step-by-step explanation:

6 (3+8) aka 6×(3+8)

6 (11)

= 66

Answer:

P(-9) = -22 hope this helps! i may be wrong tho, cuz i haven't done this in a while

Step-by-step explanation:

P(-9) = 3(-9) +5

P(-9) = -27+5

P(-9) = -22

(a) The fundamental matrix for the given system of equations is Φ(t) = e^(At).

Let's denote the given coefficient matrix as A:

A = [ -1 -4

      1 -1 ]

The fundamental matrix Φ(t) for the system is given by the matrix exponential of the coefficient matrix A multiplied by t:

Φ(t) = e^(At)

(b) The fundamental matrix φ(t) satisfying φ(0) = I is the identity matrix.

Finding the fundamental matrix φ(t) satisfying φ(0) = I:

To find the fundamental matrix φ(t) satisfying φ(0) = I, we substitute t = 0 into Φ(t):

φ(0) = Φ(0) = e^(A * 0) = e^(0) = I

So, the fundamental matrix φ(t) satisfying φ(0) = I is the identity matrix.

In summary, for the given system:

(a) The fundamental matrix Φ(t) is e^(At).

(b) The fundamental matrix φ(t) satisfying φ(0) = I is the identity matrix, denoted as φ(t) = I.

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The value of x according to the information given about the trapezoid is; 5.375

The sum of angles in a trapezoid like other Quadrilaterals is; 180°.

However, since the trapezoid is Isosceles, Top angles are equal and bottom angles are equal too.

Hence, we have;

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Answer:

C. 11

Step-by-step explanation:

Kind people at the bottom of the "Experts" answer said it was 11

The approximate change in z for the given change in the independent variables is 0.61.

To approximate the change in z for the given change in the independent variables, we can use differentials. The differential of z can be expressed as:

dz = (∂z/∂x)dx + (∂z/∂y)dy

First, let's find the partial derivatives (∂z/∂x) and (∂z/∂y) by taking the partial derivatives of the function z = x^2 - 7xy with respect to x and y, respectively.

∂z/∂x = 2x - 7y
∂z/∂y = -7x

Next, we'll substitute the values of x, y, dx, and dy into the differentials equation. Given that (x, y) changes from (5, 3) to (5.04, 2.97), we have:
x = 5
y = 3
dx = 0.04
dy = -0.03

Substituting these values into the equation dz = (∂z/∂x)dx + (∂z/∂y)dy, we get:

dz = (2(5) - 7(3))(0.04) + (-7(5))( -0.03)
= (10 - 21)(0.04) + (-35)( -0.03)
= (-11)(0.04) + (1.05)
= -0.44 + 1.05
= 0.61

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Answer:

20

Step-by-step explanation:

(5/100) * (400/1)

cancel the zeros

4 * 5= 20

Using translation concepts, it is found that the correct statement is:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the points on triangle A are: (-1, 0), (-2, 4) and (-1, 4).

Marcus' translation is as follows:

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Answer:

A

Step-by-step explanation:

Answer:

2.23 this the answer use the calculator

Reflection over the x-axis transforms the point (x,y) into (x, -y), then

A(1,8) → A''(1, -8)

M(6,8) → M''(6, -8)

P(2,3) → P''(2, -3)

Rotation 90° clockwise transform the point (x, y) into (y, -x), then

A''(1, -8) → A'(-8, -1)

M''(6, -8) → M'(-8, -6)

P''(2, -3) → P'(-3, -2)

The probability of the arrow landing on an odd number is the number of odd numbers divided by the total number of possible outcomes. Therefore, the probability of the arrow landing on an odd number is  0.5 or 50%.


To find the probability that the arrow will point at an odd number on a circular board with 8 equal parts, we'll first determine the total number of odd numbers present and then divide that by the total number of possible outcomes.

Step 1: Identify the odd numbers on the board. They are 1, 3, 5, and 7. The game consists of spinning the arrow on a circular board with 8 equal parts, which means there are 8 possible outcomes or numbers. Since we want to know the probability of landing on an odd number, we need to count how many odd numbers are on the board. In this case, there are four odd numbers: 1, 3, 5, and 7.

Step 2: Count the total number of odd numbers. There are 4 odd numbers.

Step 3: Count the total number of possible outcomes. Since the board is divided into 8 equal parts, there are 8 possible outcomes.

Step 4: Calculate the probability. The probability of the arrow pointing at an odd number is the number of odd numbers divided by the total number of possible outcomes.

Probability = (Number of odd numbers) / (Total number of possible outcomes)
Probability of landing on an odd number = Number of odd numbers / Total number of possible outcomes
Probability of landing on an odd number = 4 / 8

Step 5: Simplify the fraction. The probability of the arrow pointing at an odd number is 1/2 or 50%.

So, the probability that the arrow will point at an odd number is 1/2 or 50%.

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Answer:

126 mm / 3 = 42 mm

The length of each side of this equilateral triangle is 42 mm.

a) Probability that a processor is used at least twice is 0.3944.

b) Probability that at least one processor is idle is 0.0817.

c) Probability of an overload is 0.0005

a) To find the probability that a processor is used at least twice, we can use the complement rule. That is, we can find the probability that no processor is used twice and then subtract this from 1.

The probability that a job is assigned to a different processor than the previous job is (50-1)/50 = 49/50.

Therefore, the probability that the first two jobs are assigned to different processors is 1.

We can apply the same logic to all 20 jobs.

The probability that no processor is used twice is,

\((49/50)^{19} (48/50)^{20}\)

Therefore, the probability that a processor is used at least twice is,

1 - \((49/50)^{19} (48/50)^{20}\) = 0.3944 .

b) To find the probability that at least one processor is idle,

We need to find the probability that all 20 jobs are assigned to different processors.

The probability that the first job is assigned to any of the 50 processors is 1.

The probability that the second job is assigned to a different processor than the first is 49/50.

We can apply the same logic to all 20 jobs.

Therefore, the probability that all 20 jobs are assigned to different processors is  \((49/50)^{19} (48/50)^{18} ... (31/50)^{1}\).

Therefore, the probability that at least one processor is idle is,

1-  \((49/50)^{19} (48/50)^{18} ... (31/50)^{1}\) = 0.0817.

c) If any processor can handle at most four jobs without being overloaded, there are different ways the overload can occur.

We can use the binomial distribution to find the probability of each of these ways and then add them up.

The probability of a processor being assigned more than four jobs is,

(\(^{20}C_5\)) \((1/50)^{5} (49/50)^{15}\).

There are 50 processors, so the probability of any processor being overloaded is  50(\(^{20}C_5\)) \((1/50)^{5} (49/50)^{15}\)..

Therefore, the total probability of an overload is,

(\(^{20}C_5\)) \((1/50)^{5} (49/50)^{15}\) = 0.0005.

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The object whose distance is three times its displacement is object Z.  

The distance is defined as a scalar quantity representing the total distance traveled.

Displacement is a vector representing the distance between the end and start points.

Distance, Displacement, Ratio To calculate r = 3

Object    Motion                                    Distance     Displacement  ratio

 X          3 units left, 3 units right        3 + 3 = 6       3 - 3 = 0            ∞

 Y          6 units right, 18 units right    6 + 18 = 24    6 + 18 = 24       1

 W         8 units left, 24 units right      8 + 24 = 32   -8 + 24 = 16     2

 Z          16 units right, 8 units left       16 + 8 = 24    16 - 8 = 8         3

Ratio is calculated by dividing the distance by the displacement.

distance/displacement.

For object Z it is 24/8 = 3. So the object whose distance is three times its displacement is object Z.  

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The series ∑((-1)ⁿ⁺¹/(2n⁴) from n=0 to infinity is converges.

To test the convergence or divergence of the series ∑((-1)ⁿ⁺¹/(2n⁴) from n=0 to infinity, we can use the alternating series test.

The alternating series test states that if a series has the form ∑((-1)ⁿ)bₙ or ∑((-1)ⁿ⁺¹)bₙ.

where bₙ is a positive sequence that converges to zero as n approaches infinity, then the series converges.

We have ∑(-1)ⁿ⁺¹/2n⁴.

Let's analyze the sequence bₙ=1/2n⁴

The sequence bₙ = 1/(2n⁴) is always positive.

As n approaches infinity, 1/(2n⁴) approaches zero.

Therefore, we can apply the alternating series test to our series. T

The alternating series ∑((-1)ⁿ⁺¹/(2n⁴) converges because the sequence bₙ=1/2n⁴ satisfies the conditions of the alternating series test.

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Answer: 3) Not factorable

We cannot use the difference of squares method because we don't have a subtraction going on (ie "difference") and we don't have two perfect squares. The value 70 is not a perfect square.

We cannot factor out a GCF since the GCF here is 1, and that doesn't really affect things. Choice 4 is also not applicable because we don't have a trinomial. A trinomial has three terms.

Answer: B) increasing for x < -4/3 and x > 4/3

                   decreasing for -4/3 < x < 4/3

Step-by-step explanation:

Graph the equation and follow the curve from left to right. If you are going up, it is increasing. If you are going down, it is decreasing.

Refer to the image below. Red is increasing. Blue is decreasing.

The vertices are at: x = -4/3 and x = 4/3

The value of expanding (2x -3)^4 is 16x^4  + 96x^3  +216x^2 -216x + 81

The expression is given as:

(2x -3)^4

Using the binomial expansion, we have:

\((2x -3)^4 = ^4C_0 * (2x)^4 * (-3)^0 +^4C_1 * (2x)^3 * (-3)^1 + ^4C_2 * (2x)^2 * (-3)^2 + ^4C_3 * (2x)^1 * (-3)^3 + ^4C_4 * (2x)^0 * (-3)^4\)

Evaluate the combination factors.

So, we have:

\((2x -3)^4 = 1 * (2x)^4 * (-3)^0 + 4 * (2x)^3 * (-3)^1 + 6 * (2x)^2 * (-3)^2 + 4 * (2x)^1 * (-3)^3 + 1 * (2x)^0 * (-3)^4\)

Evaluate the exponents and the products

\((2x -3)^4 = 16x^4 + 96x^3 +216x^2 -216x + 81\)

Hence, the value of expanding (2x -3)^4 is 16x^4  + 96x^3  +216x^2 -216x + 81

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Answer:

4 or 2 times unknown number added with 7 it gives 15

Step-by-step explanation:

2a+7=15

2a=15-7

2a=8

a=4

Answer:

2a+7=15

2a=15-7

2a=8

2a/2=8/2

a=4

Answer:

371m-2n+31

Step-by-step explanation:

3m+3n+368m-5n+31

=3m+368m+3n-5n+31

=371m+3n-5n+31

=371m-2n+31

A real number is in between 14 square root and 15 square root is 3.8.

It should be noted that real numbers include rational and irrational numbers.

✓14 = 3.74

✓15 = 3.87

Therefore, a real number is in between 14 square root and 15 square root is 3.8.

It should be noted that this implies a number that can be sent between the square roots.

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False.

Data reduction techniques can be applied to both rows (observations) and columns (variables) in a given dataset. Data reduction techniques like Principal Component Analysis (PCA) and Factor Analysis are applied to variables in order to reduce the number of variables and extract relevant information from them. These techniques aim to identify underlying factors or components that explain the variance in the data and represent them in a lower-dimensional space. Similarly, techniques like clustering and outlier detection can be applied to observations in order to group similar observations together or identify outliers.

Therefore, data reduction can be applied to both rows and columns, depending on the analysis goals and data characteristics.

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Answer:

he would be able to get on 7 rides

Answer:

for number 33 it is 15. for 34 it is 6 for 35 it is B

Step-by-step explanation:

1.5×10=15 12÷2=6

Answer:

x = 15°

Step-by-step explanation:

the inscribed angle APB is half the measure of the central angle AOB , so

x = \(\frac{1}{2}\) × 30° = 15°