Describe the difference between the two given transformations.

Answer: true

Step-by-step explanation:

Answer:

I think of (C.85) can't be constructed

Step-by-step explanation:

hope this helps you :)

Answer:

C) 85

Step-by-step explanation:

Hope this helps

Answer: 54 Points

Step-by-step explanation:

They have 16 wins, one win is three points so 16 times 3, 48.

They have 6 losses, one loss is one point to 1 times 6, 6.

Add 6 and 48

Then you get an answer of 54

Answer:11.3

Step-by-step explanation: Since each win is 3 points,and the team won 16times, u figure out how many times 3 goes into 16. 3 goes into 16 unevenly, so it will be 5.3.

The Ties are one point each and the team had 6 ties. So 5.3+6=11.3(or 11 if u wana round)

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Answer:

Yep ur correct!

Step-by-step explanation:

The first one represents the numbers decreasing by a factor of 4 and the 2nd represents it of -10. C is not geometric because it is decreasing by 2 each time in which it would be arithmethic

Answer:

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Step-by-step explanation:

a)The critical value in the t-table is approximately 2.831. b)The degrees of freedom is approximately 2.947. c)The confidence level with 21 degrees of freedom is approximately 1.721. d)If the population is not normally distributed, the confidence intervals in parts (a)-(c) should still be computed.

For reasonably large sample sizes, the sampling distribution of the sample mean approaches a normal distribution regardless of the shape of the population distribution.

(a) To construct a 98% confidence interval about μ with a sample size of 22, we need to determine the critical value associated with a 98% confidence level. Since the sample size is small and the population distribution is unknown, we can use the t-distribution. The degrees of freedom for a sample size of 22 is 21. Looking up the critical value in the t-table, we find it to be approximately 2.831.

Next, we calculate the standard error using the formula: standard error = (sample standard deviation / √n). Let's assume the sample standard deviation is known or has been calculated.

Finally, we construct the confidence interval using the formula: (sample mean - (critical value * standard error), sample mean + (critical value * standard error)).

(b) For a sample size of 16, the process is the same as in (a), but the critical value for a 98% confidence level with 15 degrees of freedom is approximately 2.947.

(c) To construct a 90% confidence interval with a sample size of 22, we follow the same steps as in (a) but use the critical value associated with a 90% confidence level. The critical value for a 90% confidence level with 21 degrees of freedom is approximately 1.721.

When the sample size decreases, the margin of error (E) increases. A smaller sample size leads to a larger standard error, resulting in a wider confidence interval and a larger margin of error.

If the population is not normally distributed, the confidence intervals in parts (a)-(c) should still be computed. The normality assumption is not required for the construction of confidence intervals, especially when the sample sizes are relatively small. The Central Limit Theorem states that, for reasonably large sample sizes, the sampling distribution of the sample mean approaches a normal distribution regardless of the shape of the population distribution.

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Answer:

yeah the answer is 12

Step-by-step explanation:

G day mate I hope u get it right

The function of the number of quarters is a linear function.

Given that,
There are 4 quarters and 1 dollar the total number is a function of the number of quarters, to justify this situation represents a linear or nonlinear function.

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
In a $1 there are 4 quarters,
And in 1 quarter there are 1/4 dollar,
Implies that the function is linear see,
Let the number of quarters is y and the number of dollars be x,
y = 1/4 x

Thus, the function of the number of quarters is a linear function.

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Answer:

A = 51.375

Step-by-step explanation:

A = (3x + 24)

B = (5x - 7)

A + B = 90

3x + 24 + 5x - 7 = 90

8x + 17 = 90

8x = 73

x = 9.125

A = (3(9.124) + 24)

A = 51.375

Answer:

m<A = 52

Step-by-step explanation:

A proportion that shows that the slope of segment AB is the same as the slope of segment AC include the following: C. d/f = e/(f + g)

In Mathematics and Geometry, two (2) triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Additionally, the lengths of corresponding sides or corresponding side lengths are proportional to the lengths of corresponding altitudes when two (2) triangles are similar and the slopes of segment AB and segment AC are equal;

Slope = rise/run

Slope of segment AB = d/f

Slope of side segment AC = e/(f + g)

Slope of segment AB = Slope of side segment AC

d/f = e/(f + g)

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3 (hight) × 8 (base) = 24

24 ÷ 2 = 12 (area of triangle)

12 × 2 = 24 (because there are 2 triangles)

5 × 7 = 35 (because length times width)

35 × 2 = 70 (because there are 2 rectangles)

8 × 7 = 56 (because of the base)

24 + 12 + 24 + 35 + 70 + 56 = 221

Answer:

22 your welcome don't d.e.l.e.t.e Step-by-step explanation:

Answer:

Step-by-step explanation: i took the test.

The first point is ta x= - 3.

The function h(x) has a maximum value.

The graph of the function h(x) is given below.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

h(x) = 2 sin(2x) - 3

The first point is at x = -3.

h'(x) = 4 cos(2x)

h''(x) = -8 sin(2x)

This means,

h(x) has a maximum value on the graph.

The graph of h(x) is given below.

Thus,

h(x) has a maximum value and the graph is given below.

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Answer:

AT&T charges $70.00 a month plus $10 per gig of data. Sprunt charges $80.00 a month plus $5 per gig of data. Which equation could be used to determine when the two cell phone plans will be equal?

Step-by-step explanation:

AT&T's plan would be less expensive than the Sprunts because they have different charges a month

Hope this helps

If $185.30 is withheld from each of Bob's paychecks, then his family's annual health insurance premium is $4817.80.

From the given information,

It was stated that the balance of the premium is deducted in equal amounts from Bob’s paycheck 26 times over the calendar year and $185.30 is withheld from each of Bob’s paychecks.

Therefore, the family’s annual health insurance premium will be calculated :

              = $185.30 × 26

              = $4,817.80

In conclusion, the correct option is $4,817.80.

therefore, his family's annual health insurance premium is $4817.80

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The exercise involves finding the product C = AB, where matrix A is given by [2 9] and matrix B is given by [3 6 1]. We need to perform the matrix multiplication to obtain the resulting matrix C.

Let's calculate the matrix product C = AB step by step:

Matrix A has dimensions 2x1, and matrix B has dimensions 1x3. To perform the multiplication, the number of columns in A must match the number of rows in B.

In this case, both matrices satisfy this condition, so the product C = AB is defined.

Calculating AB:

AB = [23 + 912 26 + 94 21 + 95]

[103 + 612 106 + 64 101 + 65]

Simplifying the calculations:

AB = [6 + 108 12 + 36 2 + 45]

[30 + 72 60 + 24 10 + 30]

AB = [114 48 47]

[102 84 40]

Therefore, the product C = AB is:

C = [114 48 47]

[102 84 40]

In summary, the matrix product C = AB, where A = [2 9] and B = [3 6 1], is given by:

C = [114 48 47]

[102 84 40]

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Answer:

u = 11

Step-by-step explanation:

6(u+5)=96

Divide both sides by 6

u+5=16

Subtract 5 from both sides

u=11

The variable, u, is equivalent to 11

Answer:

u=11

Step-by-step explanation:

If you multiply  the parentheses by the outside number (6) it will bring you

6u+30=96 then take away 30 from each side to get

6u=66 last step is to divide by six

u=11

The correct statement will be;

''Serena’s manager worked 192 hours, because 153.6 × 1.25 = 192.''

Option B is true.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Serena worked 153.6 hours.

And, Serena’s manager worked 1.25 times as many hours as Serena.

Now,

Since, Serena worked 153.6 hours.

And, Serena’s manager worked 1.25 times as many hours as Serena.

Hence, Serena manager worked time = 153.6 x 1.25

                                                           = 192

Thus, The correct statement will be;

''Serena’s manager worked 192 hours, because 153.6 × 1.25 = 192.''

Option B is true.

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we assume the height of the triangle is x,

so the base length will be x+4

the triangle area will be area = 1/2 ( base * height)

48 = 1/2 (x + 4) x

96 = x2 + 4x

96 + 4 = x2 + 4x + 4

100 = (x + 2)2

10 = x + 2 (for the square 100, we ignore the -10, minus is meaningless in length )

x = 8

x + 4 = 8 + 4 = 12

so the height for the triangle is 8 unit, base is 12 unit,

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The probability that the mixture will test positive is approximately 0.4744 or 47.44%

In this blood testing procedure, the mixture will test positive if at least one of the individual samples tests positive. To determine the probability of the mixture testing positive, we can first find the probability that all individual samples test negative and then subtract that from 1.

The probability that an individual sample tests negative is 1 - 0.12 = 0.88, since there is a 0.12 chance that it tests positive. As there are 5 samples, and we assume they are independent, we can multiply the probabilities together to find the probability that all samples test negative: 0.88^5 ≈ 0.5256.

Now, to find the probability that the mixture tests positive (meaning at least one individual sample is positive), we can subtract the probability of all samples being negative from 1: 1 - 0.5256 ≈ 0.4744.

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The probabilities of at least 10 are repairable is 1/3. and probabilities of from 3 to 8 are repairable is 1/5*8/15 and probabilities of exactly 5 are repairable is 1/3.

According to the statement

we have given that If 15 actuators have failed and we have to find the probabilities on some conditions.

we know that the formula of probabilities is

probability = possible outcomes / total outcomes

So,

at least 10 are repairable = 1 - 10/15

at least 10 are repairable = (15 - 10)/15

at least 10 are repairable = (5)/15

at least 10 are repairable = 1/3

from 3 to 8 are repairable = 1/5 *8/15

exactly 5 are repairable = 1/3

These are the probabilities of the given conditions.

So, The probabilities of at least 10 are repairable is 1/3. and probabilities of from 3 to 8 are repairable is 1/5*8/15 and probabilities of exactly 5 are repairable is 1/3.

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The expression where the greatest common factor (GCF) is factored completely is \(2x^3y + 18xy - 10x^2y - 90y = 2y(x^3 + 9x - 5x^2 - 45)\)

The expression completely factored in is

\(2y(x^3 + 9x - 5x^2 - 45) = 2y[x(x^2 - 5) + 9(x^2 - 5)]\\= 2y(x - 5)(x^2 + 9)\)

Please refer below for the remaining answers.

We have,

Part A:

To rewrite the expression 2x³y + 18xy - 10x²y - 90y so that the greatest common factor (GCF) is factored completely, we can factor out the common terms.

GCF: 2y

\(2x^3y + 18xy - 10x^2y - 90y = 2y(x^3 + 9x - 5x^2 - 45)\)

Part B:

To completely factor the expression, we can further factor the quadratic term.

\(2y(x^3 + 9x - 5x^2 - 45) = 2y[x(x^2 - 5) + 9(x^2 - 5)]\\= 2y(x - 5)(x^2 + 9)\)

Now,

Part A:

To determine the length of each side of the square given the area expression (9x² + 24x + 16), we need to factor it completely.

The area expression (9x² + 24x + 16) can be factored as (3x + 4)(3x + 4) or (3x + 4)².

Therefore, the length of each side of the square is 3x + 4.

Part B:

To determine the dimensions of the rectangle given the area expression (16x² - 25y²), we need to factor it completely.

The area expression (16x² - 25y²) is a difference of squares and can be factored as (4x - 5y)(4x + 5y).

Therefore, the dimensions of the rectangle are (4x - 5y) and (4x + 5y).

Now,

f(x) = 2x² - 5x + 3

Part A:

To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x.

2x² - 5x + 3 = 0

The quadratic equation can be factored as (2x - 1)(x - 3) = 0.

Setting each factor equal to zero:

2x - 1 = 0 --> x = 1/2

x - 3 = 0 --> x = 3

Therefore, the x-intercepts of the graph of f(x) are x = 1/2 and x = 3.

Part B:

To determine if the vertex of the graph of f(x) is maximum or minimum, we can examine the coefficient of the x^2 term.

The coefficient of the x² term in f(x) is positive (2x²), indicating that the parabola opens upward and the vertex is a minimum.

To find the coordinates of the vertex, we can use the formula x = -b / (2a), where a and b are the coefficients of the quadratic equation.

For f(x),

a = 2 and b = -5.

x = -(-5) / (2 x 2) = 5/4

To find the corresponding y-coordinate, we substitute this x-value back into the equation f(x):

f(5/4) = 25/8 - 25/4 + 3 = 25/8 - 50/8 + 24/8 = -1/8

Therefore, the vertex of the graph of f(x) is at the coordinates (5/4, -1/8), and it is a minimum point.

Part C:

To graph f(x), we can start by plotting the x-intercepts, which we found to be x = 1/2 and x = 3.

These points represent where the graph intersects the x-axis.

Next,

We can plot the vertex at (5/4, -1/8), which represents the minimum point of the graph.

Since the coefficient of the x² term is positive, the parabola opens upward.

We can use the vertex and the symmetry of the parabola to draw the rest of the graph.

The parabola will be symmetric with respect to the line x = 5/4.

We can also plot additional points by substituting other x-values into the equation f(x) = 2x² - 5x + 3.

By connecting the plotted points, we can draw the graph of f(x).

The steps to graph f(x) involve plotting the x-intercepts, the vertex, and additional points, and then connecting them to form the parabolic curve.

The answer in part A (x-intercepts) and part B (vertex) are crucial in determining these key points on the graph.

Thus,

The expression where the greatest common factor (GCF) is factored completely is \(2x^3y + 18xy - 10x^2y - 90y = 2y(x^3 + 9x - 5x^2 - 45)\)

The expression completely factored in is

\(2y(x^3 + 9x - 5x^2 - 45) = 2y[x(x^2 - 5) + 9(x^2 - 5)]\\= 2y(x - 5)(x^2 + 9)\)

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Given:

The arithmetic sequence is:

\(1, 6, 11, 16, 21,...\)

To find:

1. The rule for the nth term of the given arithmetic sequence.

2. The 10th term of the given arithmetic sequence.

Solution:

1. We have,

\(1, 6, 11, 16, 21,...\)

Here, the first term is 1 and the common difference is:

\(d=a_2-a_1\)

\(d=6-1\)

\(d=5\)

The nth term of an arithmetic sequence is:

\(a_n=a+(n-1)d\)

Where, a is the first term and d is the common difference.

Putting \(a=1,\ d=5\), we get

\(a_n=1+(n-1)5\)

\(a_n=1+5n-5\)

\(a_n=5n-4\)

Therefore, the nth term of the given sequence is \(a_n=5n-4\).

2. We need to find the 10th term of the given arithmetic sequence.

From part 1 it is clear that the nth term of the given arithmetic sequence is:

\(a_n=5n-4\)

Putting \(n=10\), we get

\(a_{10}=5(10)-4\)

\(a_{10}=50-4\)

\(a_{10}=46\)

Therefore, the 10th term of the given arithmetic sequence is 46.

Answer:

9.899

Step-by-step explanation:

Area of square = side × side

49 = side × side

7 × 7 = side × side

Side = 7 cm

Diagonal of square = side × root2

= 7 × Root2 cm

= 9.899

\(\huge{\underline{\underline{\boxed{\sf{\red{Answer࿐}}}}}}\)

Answer:

2,023

Step-by-step explanation:

P(8) = 25(8)²-24(8)+615

= 1600- 192 +615

= 2,023

Answer: False

Explanation:

f(x) = 0

3(x-3)(x+3) = 0

x-3 = 0 or x+3 = 0

x = 3 or x = -3

This shows that if x is equal to either -3 or 3, then f(x) is 0.

Answer:

49646

Step-by-step explanation:

The existing power plant in West Fremont can produce 96,000,000 kWh of electrical energy in a year.

The existing power plant in West Fremont has a capacity of 12 megawatts (MW) and can operate at full capacity for 8,000 hours/yr.

This means that the plant can produce 12 MW x 8,000 hours = 96,000 megawatt hours (MWh) of electrical energy in a year.

This energy can be further converted to 96,000 MWh/1,000 kWh/MWh = 96,000,000 kilowatt hours (kWh) of electrical energy in a year.

Therefore, the existing power plant in West Fremont can produce 96,000,000 kWh of electrical energy in a year.

The town currently pays $0.10 per kWh of energy, which means it would cost $9,600,000 to purchase this energy from the electric utility.

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Therefore, the compound interest of the annuity due of BD 400 paid each 4 months for 6.2 years at a nominal rate of 3% per annum is BD 40,652.17.

Compound interest of an annuity due can be calculated using the formula:A = R * [(1 + i)ⁿ - 1] / i * (1 + i)

whereA = future value of the annuity dueR = regular paymenti = interest raten = number of payments First, we need to calculate the effective rate of interest per period since the nominal rate is given per annum. The effective rate of interest per period is calculated as

:(1 + i/n)^n - 1 = 3/1003/100 = (1 + i/4)^4 - 1

(1 + i/4)^4 = 1.0075i/4 = (1.0075)^(1/4) - 1i = 0.0303So,

the effective rate of interest per 4 months is 3.03%.Next, we can substitute the given values in the formula:

A = BD 400 * [(1 + 0.0303)^(6.2 * 3) - 1] / 0.0303 * (1 + 0.0303)A = BD 400 * [4.227 - 1] / 0.0303 * 1.0303A = BD 400 * 101.63A = BD 40,652.17

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The correct term for a sample obtained in such a way that every element in the population has an equal chance of being selected is a "random sample."

In a random sample, each member of the population has an equal probability of being chosen, providing a representative subset of the population. This sampling method helps to reduce bias and ensures that the sample is more likely to accurately reflect the characteristics of the entire population.

Random sampling is a fundamental principle in statistics and research, allowing for generalizations and inferences to be made about the population based on the characteristics observed in the sample. It is widely used in various fields, such as social sciences, market research, and opinion polls, to draw meaningful conclusions about a larger population.

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