Examine the coordinate grid below. What are the coordinates of the point A’ when point A is reflected across the x-axis?

Answer:

Step-by-step explanation:

For this kind of problem, all you need to know is one formula:

The Distance Formula

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

in this case,

[tex]x_2=1[/tex], [tex]x_1=0[/tex], [tex]y_2=-3[/tex], [tex]y_1=-10[/tex]

[tex]D = \sqrt{(1-0)^2+(-3--10)^2}[/tex]

[tex]D = \sqrt{1^2+7^2}\\D = \sqrt{1+49}[/tex]

[tex]D = \sqrt{50}\\D = \sqrt{25*2} D = 5\sqrt{2}[/tex]

Answer:

a. The amount borrowed is $95,000. The annual interest rate is 5%. The number of payments per year is 12 (monthly payments). The loan term in years is 25, and the payment amount is $450.

b. The loan requires a total of 25 x 12 = 300 payments over the full term.

To calculate the total amount paid over the full term of the loan, we can use the formula for the present value of an annuity:

PV = PMT x [(1 - (1 + r)^-n) / r]

Where PV is the present value (the amount borrowed), PMT is the payment amount, r is the monthly interest rate (5% / 12 = 0.004167), and n is the total number of payments (300).

Plugging in the values, we get:PV = $95,000

PMT = $450

r = 0.004167

n = 300PV = $450 x [(1 - (1 + 0.004167)^-300) / 0.004167] = $144,781.92

Therefore, the total amount paid over the full term of the loan is $144,781.92.

The solution to the expression 9•6 is 54

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

9•6 divided by long division

The above expression is a product expression

This means that it cannot be evaluated using long division

When the expression is evaluated. we have

9 * 6 = 54

Hence, the solution is 54

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what u need help with

The program to find the divisible values gives the number of multiples of 2 between 3 and 8 inclusive is 3

To check if an integer is divisible by x, you could divide it by x and check if the remainder is 0.

If the remainder is 0, then the integer is divisible by x and therefore is a multiple of x.

We can use this concept to find the number of multiples of x between low and high inclusive.

If low is 3, high is 8, and x is 2, then we can check if each number between 3 and 8 is divisible by 2.

3 is not divisible by 2, so it is not a multiple of 2.

4, however, is divisible by 2, so it is a multiple of 2.

5 is not divisible by 2, so it is not a multiple of 2.

6, however, is divisible by 2, so it is a multiple of 2.

Then 7 is not divisible by 2, so it is not a multiple of 2. 8 is divisible by 2, so it is a multiple of 2.

Therefore, the number of multiples of 2 between 3 and 8 inclusive is 3 (4, 6, and 8).

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Answer:

-195

Step-by-step explanation:

1+1+1+1-200+1

1+1+1+1-4x50+1

-195

Hopes this helps!!

I don't know if you have this answer!!

Answer:

Angle 1= 45°

Angle 2= 90°

Step-by-step explanation:

Angle is found when you divide 90 by 2

We do this because all edges of a square add up to 90 and this angle is split in half, which is why we divided by 2

The to find angle 2 you get 45 for the left side of the triangle, 45 on the right side add them, which will give you 90, then subtract from 180 because angles in triangle equals 180 when you do this you get 90.

The values of the missing entries are given below:

x  2  1  3  5  0

y  0  1  1   9  4

Given:

y= x^2 - 4x + 4

= (x-2)^2

Thus, when y= 0, (x-2)^2 =0

x =2 (substitute y=0 into the equation)

When x= 1,  y = (1-2)^2 = 1

When y =1, (x-2)^2 =1, x-2 ± 1

x= 3, or x=1 (choose 3)

when x= 5, y= (5-2)^2 = 3^2 =9

when x = 0,  y= (0-2)^2 = 2^2 = 4

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The t-test statistic of the data is -1.23

To test the null hypothesis that the mean of the population is 3 against the alternative hypothesis, u <3 with a significance level of 0.05, we can use a one-tailed t-test since the sample size is small and the population standard deviation is unknown.

The formula for the t-test statistic is:

t = (x(bar) - μ) / (s / √n)

Where:

x(bar) = sample mean

μ = population mean (null hypothesis)

s = sample standard deviation

n = sample size

Given the sample of six measurements: 2, 3, -1.5, 1.2

First, we need to calculate the sample mean, sample standard deviation, and t-test statistic.

Sample mean (x(bar)) = (2 + 3 - 1.5 + 1.2) / 4 = 1.93

Sample standard deviation (s) = √[(∑(x - x(bar))^2) / (n - 1)]

= √[((2 - 1.93)^2 + (3 - 1.93)^2 + (-1.5 - 1.93)^2 + (1.2 - 1.93)^2 +  / (4 - 1)]

= 1.92

t-test statistic = (x(bar) - μ) / (s / √n)

= (1.93 - 3) / (1.92 / √5)

= -1.23 (rounded to two decimal places)

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For the given insertion sort program the answer is (E) I, II, and III.

What is insertion sort?

Insertion sort is a simple sorting algorithm that works by repeatedly iterating through the elements of an array, or a list, and inserting each element into its proper position within the sorted portion of the array. The algorithm maintains a sorted sublist of elements, which starts as the first element of the array, and then iterates through the remaining unsorted elements one-by-one, comparing each element with the elements in the sorted sublist and moving them to the right until the correct position is found. In other words, insertion sort iteratively expands the sorted sublist by inserting each new element into its correct position, until the entire array is sorted. The time complexity of the insertion sort algorithm is O(n^2) in the worst-case scenario, where n is the number of elements in the array, but it can perform much better on small datasets or partially sorted arrays.

According to given conditions:

For the first question:

After the first pass of the outer loop, the array will be [2, 5, 4, 1, 3, 6]. After the second pass, the array will be [2, 4, 5, 1, 3, 6]. After the third pass, the array will be [1, 2, 4, 5, 3, 6]. Therefore, the answer is (C) [1, 2, 4, 5, 3, 6].

For the second question:

Statement 1 will execute 6 times because there are 6 elements in the array. Statement 2 will also execute 6 times because each element in the array will be moved to its correct position during the insertion sort. Therefore, the answer is (E) 6, 6.

For the third question:

To correctly separate the words in listofWords with commas and enclose them in braces, we need to iterate through the list and add each word to the result string followed by a comma (except for the last word) and a space. Then we need to remove the last comma and space and add the opening and closing braces. This can be achieved with the following expression and condition:

Expression: listofWords.get(k) + ", "

Condition: k != listofWords.size() - 1

Therefore, the answer is (A) expression: listofWords.get(k) + ", ", condition: k != listofWords.size() - 1.

For the fourth question:

To sort the integers in elements in descending order, we need to make two changes to the sort method:

I. Replace line 9 with: if (elements[k] > elements[index])

II. Replace lines 15-17 with:

Line 15: int temp = elements[index];

Line 16: elements[index] = elements[j];

Line 17: elements[j] = temp;

III. Replace line 3 with: for (int j = elements.length - 1; j > 0; j--) and replace line 7 with: for (int k = 0; k < j; k++)

Therefore, for the given insertion sort program the answer is (E) I, II, and III.

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Answer: Shown in screenshot.

Step-by-step explanation: First, let's start at 7. We are adding 2 to seven, so we move to the right two places. When we do so, we get to 9. So, 9 is the answer.

This answer will probably get taken down like SO MANY of my answers for no reason when literally WRONG answers stay on the website.

9 is the answer .When using a number line and you need to add you go to the right or forward

The height of the lighthouse is 48 feet.

To find the height of the lighthouse, we can use the concept of similar triangles. When two triangles are similar, it means that they have the same shape but different sizes. In this case, the two triangles are similar because they have the same angle to the sun. That is, the angle between the ground and the line from the top of the lighthouse to the sun is the same as the angle between the ground and the line from Zara to the sun.

This proportion is based on the fact that the two triangles are similar, so the corresponding sides are in proportion.

So, we have:

(height of lighthouse) / 36 feet = 4 feet / 3 feet

We can solve for the height of the lighthouse by cross-multiplying:

(height of lighthouse) = 36 feet × (4 feet / 3 feet)

Simplifying the expression, we get:

(height of lighthouse) = 48 feet

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The given question is incomplete, the complete question is

A lighthouse has a shadow that is 36 36 feet long. Zara is 4 4 feet tall, and has a shadow that is 3 3 feet long. The two triangles formed are similar because the angle to the sun is the same. Use this information to complete the statement about the lighthouse.

The height of the lighthouse is ___ feet .

The equation for the graphed function is [tex]y=\frac{8\left(x-1\right)^2}{5\left(x-2\right)^2\left(x+2\right)}[/tex]

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

The graph

On the graph, we have the following asymptotes

x = -2 and x = 2

This means that the denominator of the function is

(x + 2) and (x - 2)²

(x - 2) is squared because the graph appears to turn (not intersect) at the zeros of x = 1 (close to x = 2)

So, we have

y = a/(x + 2)(x - 2)²

Where a is a real value

The zero is x = 1 with a multiplicity of 2 (because the curve turns at x = 1)

So, we have

y = a(x - 1)²/(x + 2)(x - 2)²

The y-intercept is (0, 0.2)

This means that

0.2 = a(0 - 1)²/(0 + 2)(0 - 2)²

So, we have

0.2 = a/8

Evaluate

a = 1.6

So, we have

a = 8/5

The function becomes

y = 8(x - 1)²/5(x + 2)(x - 2)²

Express properly

[tex]y=\frac{8\left(x-1\right)^2}{5\left(x-2\right)^2\left(x+2\right)}[/tex]

Hence, the equation is [tex]y=\frac{8\left(x-1\right)^2}{5\left(x-2\right)^2\left(x+2\right)}[/tex]

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Answer:

1. volume= 135

2. prism volume in cubic feet is: 21

3. surface area is 294 ft^2

4. surface area is 430 ft^2

Answer:

Step-by-step explanation:

Let's call the regular price of the stereo "x".

The stereo is sold at a 10% discount, which means the selling price is 90% of the regular price:

Selling price after discount = 0.9x

Then, a 10% tax is added to the selling price, so the final sale price is:

Final sale price = (1 + 0.1)(0.9x) = 1.1(0.9x) = 0.99x + 0.1(0.9x) = 0.99x + 0.09x = 1.08x

We are given that the final sale price is $589.05, so we can set up the equation:

1.08x = 589.05

Solving for x, we get:

x = 589.05 ÷ 1.08

x = 545.83 (rounded to the nearest cent)

Therefore, the regular price of the stereo was $545.83.

The composite function (fg)(0) has a value of -4

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

The graph

Also, we have

(fg)(0)

The notation (fg)(x) represents the composite function of two functions f(x) and g(x), where one function is applied to the result of the other function.

The formula for (fg)(x) is:

(fg)(x) = f(g(x))

So, we have

(fg)(0) = f(g(0))

This gives

(fg)(0) = f(3)

(fg)(0) = -4

Hence, the value is -4

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The original price of the game card was approximately $46.58.

When the game can be effectively described by a numerical "characteristic function," such as v(S), which expresses how much any coalition S of players may win with certainty, regardless of the behaviour of the other players, then we can most readily determine the value of the game.

Let x represent the game card's initial cost. So 1 - 0.27 = 0.73, the price would be 0.73x after a 27% drop.

We are aware that 34.00 = 0.73x. We can divide both sides by 0.73 to find x:

x = 34.00 ÷ 0.73

x ≈ 46.58

Thus, the game card's initial cost was only about $46.58.

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Using arithmetic operations the individual would save approximately 76.36 gallons of gas per year by switching to a hybrid car for their commute.

What is arithmetic operation?

A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.

Let's first calculate the annual distance driven by the individual to work.

Use arithmetic operation of multiplication.

Annual distance driven = 60 miles/week x 50 weeks/year = 3000 miles/year

Now, let's calculate how much gas the individual would use for their commute in their current car.

Use arithmetic operation of division.

Gas used in current car = (Annual distance driven) / (Miles per gallon of current car)

Gas used in current car = 3000 miles/year / 22 miles/gallon = 136.36 gallons/year

Next, let's calculate how much gas the individual would use for their commute in a hybrid car.

Use arithmetic operation of division.

Gas used in hybrid car = (Annual distance driven) / (Miles per gallon of hybrid car)

Gas used in hybrid car = 3000 miles/year / 50 miles/gallon = 60 gallons/year

Finally, let's calculate how much gas the individual would save by switching to a hybrid car.

Use arithmetic operation of subtraction.

Gas saved = Gas used in current car - Gas used in hybrid car

Gas saved = 136.36 gallons/year - 60 gallons/year = 76.36 gallons/year

Therefore, the amount of gas value saved is 76.36 gallons of gas per year.

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An individual has been driving a passenger vehicle to work, averaging 60 miles a week in a car that averages 22 miles per gallon. The individual plans to purchase a hybrid vehicle that averages 50 miles per gallon. If the individual drives to work 50 weeks a year, how much gas will they save if they switch to a hybrid vehicle for their commute?

Here are the answers part-wise.

Part A
Considering the current state of the economy and what you know about monetary policy, the Federal Reserve should keep interest rates constant. The reason is that the current environment is conducive to a low-interest rate environment, which encourages business and consumer investments and helps promote economic growth.

Part B
https://www.marketwatch.com/story/why-the-fed-should-not-raise-rates-now-2020-10-02

Part C
The three main points from the source are:
1. The economy is still recovering from the pandemic and raising interest rates could be detrimental to the recovery;
2. Low-interest rates help encourage borrowing for business investment, which helps promote economic growth;
3. Low-interest rates allow businesses and consumers to manage their debt payments more easily.

Part D
The bias that the author brings to their opinion is that low-interest rates are beneficial for the economy and should not be increased.

Part E
https://www.cnbc.com/2020/09/30/fed-should-hike-rates-because-economic-data-now-justifies-it-top-bank-ceo-says.html

Part F
The three main points from the source are:
1. The economy is performing well and raising interest rates would help maintain this momentum;
2. Low-interest rates have encouraged borrowing, which has created a potential for future inflation;
3. Low-interest rates have increased stock market volatility and therefore raising them could help to reduce it.

Part G
The bias that the author brings to their opinion is that high-interest rates are beneficial for the economy and should be increased.

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Answer:

The correct statement is (B), You can safely carry out the test if your sample size is large and there are no outliers.

Step-by-step explanation:

Step 1: Given Information

A one-sample test about a population mean using a significance level.

Next,  OR Step 2

To identify the correct statement:

(a) False, because if a distribution is moderately skewed, then you can still carry out the test if the sample size is large ( or more).

(b) True, because if the sample size is larger ( or more) and there are no outliers, then you can still safely carry out the test.

(c) False, the sample size should be large ( or more) since the distribution is moderately skewed.

(d) False, the one-sample  test can only be used if the population standard deviation is unknown. You apply the onesample  test if the population standard deviation is known.

(e) False, -procedures are not robust, because they are heavily influenced by outliers.

Thus the answer to your problem is, B.

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Answer:

Step-by-step explanation:

If a square pen is made using four posts on each side, then the total number of posts used can be found by multiplying the number of sides by the number of posts per side. Since there are four sides to a square, we can multiply 4 by 4 to get:

4 x 4 = 16

Therefore, 16 posts were used to make the square pen.

The frequency of the function f(x) is 1/π.

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable. In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.

We need to find the frequency of given function;

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

To finding the period and then use the general relation frequency

frequency = 1/period

In the given function f(x)=1/4 cos(2x)+5 here, only the constant 2 which will multiply with x effects the period.

As we know that 2π is the period of cosx then the period of cos(2x) is

2x=2π

x=π

So, the period of cos(2x) is π

Now the frequency is F=1/π

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Answer:

there are 720 ways to arrange the 7 friends around the circular table at the wedding reception

Step-by-step explanation:

The number of ways to arrange n distinct objects in a circle is (n-1)!, since there are n ways to choose the starting point, and then (n-1)! ways to arrange the remaining objects in a circle.

In this case, we have 7 friends seated around a circular table, so the number of ways to arrange them is:

(7-1)! = 6! = 720

Therefore, there are 720 ways to arrange the 7 friends around the circular table at the wedding reception.

Answer:

720

Step-by-step explanation:

(7-1)! = 6! = 720

Answer:

14 in^2

Step-by-step explanation:

4+3=7 in. Area of the triangle is BH/2=7*4/2=14 in^2.

The solution of the trigonometric equation for θ is given as follows:

θ = 80º.

The trigonometric equation for this problem is defined as follows:

sin(θ - 70) = cos(θ).

When two angles are complementary, that is, the sum of their measures is of 90º, we have that the sine of one angle is equals to the cosine of the other angle.

The angles for this problem are given as follows:

As the sine of one is equals to the cosine of the other, they are complementary, hence the angle θ is obtained as follows:

θ - 70 + θ = 90

2θ = 160

θ = 160/2

θ = 80.

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If a, b, c, and d are four different numbers and the proportion a/b = c/d is true, then none of the statements is false.

What is proportion?

In general, the term "proportion" refers to a part, share, or amount that is compared to a whole. According to the definition of proportion, two ratios are in proportion when they are equal.

Since a/b = c/d, are proportional then can cross-multiply to get ad = bc.

Now, evaluate each statement -

A. b/a = d/c

Cross-multiplying, it is obtained that bc = ad, which is true based on the original proportion.

Therefore, this statement is true.

B. a/c = b/d

Cross-multiplying, it is obtained ad = bc, which is also true based on the original proportion.

Therefore, this statement is true.

C. b/a = c/d

This is equivalent to the original proportion, so it is true.

D. (a + b)/b = (c + d)/d

Simplify the equation -

d(a + b) = b(c + d)

da + db = bc + bd

da = bc

Cross-multiplying, it is obtained that da = bc, which is true based on the original proportion.

Therefore, this statement is true.

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The solution to inequality is -2/3 ≤ x ≤ 2. The value of x lies between -2/3 and 2.

What is inequality?

In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the expression on the left should be greater or less than the expression on the right, or vice versa. Literal inequalities are relationships between two algebraic expressions that are expressed using inequality symbols.

Given inequality is

|3x-2| ≤ 4

Applying the formula |x| ≤ a → -a ≤ x ≤ a:

-4 ≤ 3x-2 ≤ 4

Add 2 on both sides:

-4 + 2 ≤ 3x-2 + 2 ≤ 4 + 2

-2 ≤ 3x ≤ 6

Divide both sides by 3:

-2/3 ≤ x ≤ 2

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The equivalent fractions are A = { 100 / 20 , 150 / 30 }

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given data ,

Let the fractions be represented as A

Now , the value of A is

A = 50/10

On simplifying , the fraction , we get

The value of A = 5/1

Now , the equivalent fractions of A are

Multiply the numerator and denominator of the fraction by 2 , we get

A = 100/20

Multiply the numerator and denominator of the fraction by 3 , we get

A = 150/30

Hence , the equivalent fractions are 5/1 , 100/20 and 150/30

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The marginal revenue is 2752 dollar per unit of revenue function is given by R(q)=-7q²+400g.

The variance in the number of units sold is multiplied by the total change in revenue to determine marginal revenue. Here is how marginal revenue is determined: The difference between total income and output is the marginal revenue. Because it measures the increase in revenue from the sale of extra goods and services, marginal revenue is crucial. The law of diminishing returns, which asserts that any increase in production will result in smaller increases in output, has an impact on marginal revenue. The perfect level has been obtained as a result.

To find the marginal revenue, we obtain ,

R(q)=-7q²+400g.

q= 8

Marginal revenue= R(q)

MP(8)=-7(8)²+400×8

          =-7×64+3200=2752dollar per unit.

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