Graph 1,3 after rotation 90 degree clockwise around the orgin

Answer:

D. 4/9

Step-by-step explanation:

Check all the options to find your answer

A. 11/2

11/2 = 5.5

5.5 is not a repeating decimal

B. 4/3

4/3 = 1.3333333333333

1.3333333333333 is a repeating decimal but the value is greater than 1

C. 9/10

9/10 = 09

0.9 is not a repeating decimal

D. 4/9

4/9 = 0.4444444444444

0.4444444444444 is a repeating decimal and the value is less than 1

Therefore, option D. 4/9 is the fraction that converts to a repeating decimal with a value less. 1

To find a basis for the subspace dimension w of R4, we need to find a set of linearly independent vectors that span w.

First, we can rewrite the given condition for w as follows:

w = {(s, 0, 0, 5s) + (0, 4t, 0, -t) + (0, 0, s, 0) + (0, 0, 0, -t) : s, t are real numbers}

Notice that each term in the above expression corresponds to one of the four standard basis vectors in R4. Therefore, the subspace w can be expressed as the span of the following four vectors:

v1 = (1, 0, 0, 5)
v2 = (0, 4, 0, -1)
v3 = (0, 0, 1, 0)
v4 = (0, 0, 0, -1)

To show that these vectors form a basis for w, we need to show that they are linearly independent and that they span w.

To show linear independence, suppose that a linear combination of these vectors is equal to the zero vector:

c1 v1 + c2 v2 + c3 v3 + c4 v4 = (0, 0, 0, 0)

Then we have the following system of equations:

c1 = 0
4c2 = 0
c3 = 0
5c1 - c2 = 0

Solving for the coefficients, we get c1 = c2 = c3 = c4 = 0, which shows that the vectors are linearly independent.

To show that they span w, we need to show that any vector in w can be expressed as a linear combination of these vectors. Let (s, 4t, s, 5s - t) be an arbitrary vector in w. Then we can write:

(s, 4t, s, 5s - t) = (s, 0, 0, 5s) + (0, 4t, 0, -t) + (0, 0, s, 0) + (0, 0, 0, -t)

which is a linear combination of the vectors v1, v2, v3, and v4. Therefore, these vectors span w.

Since we have found a set of four linearly independent vectors that span w, we can conclude that they form a basis for w. Thus, the dimension of the subspace w is 4.

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Based on the given input-output diagram for F(x) = x + 4, we are asked to find the missing output value for input tN0 u = 882N.

To find the output value, we need to substitute the given input value in the  = x + 4.

F(tN0 u = 882N) = tN0 u + 4 = 882 + 4 = 886

Therefore, the missing output value is 886, which corresponds to option D in the answer choices.

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I'm sorry, but I cannot provide a definitive answer to this question without more information.

The input-output diagram provided shows the function F(x) = x + 4. However, the missing output value is not provided in the diagram or in the question statement. It is not clear what the input value is, or what the question is asking for specifically. Without more information or context, I cannot determine the missing output value. It is possible that the missing output value can be found by evaluating the function F(x) at a given input value, but without knowing the input value, it is not possible to provide a specific answer. If you can provide more details or clarification about the missing output value and the context of the problem, I may be able to assist you further.

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The United States has a population of about 320 million, so if homicides were proportional to Honduras' rate of homicide, we would expect about 12,800 deaths due to homicides in the United States.

This is calculated by taking the population of the United States (320 million) and multiplying it by the Honduras' homicide rate of 40 per 100,000 people.


To calculate this, we first need to find Honduras' homicide rate. The World Bank has this information, which states that the rate is 40 per 100,000 people. We then need to take the population of the United States (320 million) and multiply it by the rate.

This equals 128 million homicides per 100,000 people in the United States. This comes out to 12,800 deaths due to homicides in the United States. Round this to the nearest person, and you get 12,800.

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Answer:

8

Step-by-step explanation:

1/2*4*4*1=8

The area of the picture frame 72 cm². Therefore, option C is the correct answer.

The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.

Given that, a bigger outer rectangle has sides of 12 cm and 10 cm.

So, the area of a outer rectangle = 12×10

= 120 cm²

An inner rectangle has sides of 8 cm and 6 cm

The area of a inner rectangle = 8×6

= 48 cm²

The area of the picture frame = 120-48

= 72 cm²

Therefore, option C is the correct answer.

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Answer: C | 72 square centimeters

Step-by-step explanation:

The answer is C. 72 square centimeters. The area of the picture frame can be found by subtracting the area of the inner rectangle from the area of the outer rectangle. The area of the outer rectangle is 120 square centimeters (12 x 10). The area of the inner rectangle is 48 square centimeters (8 x 6). Therefore, the area of the picture frame is 120 - 48 = 72 square centimeters.

Answer:

It should be 40

Step-by-step explanation:I took the test

Answer:

40:)

Step-by-step explanation:

Answer: the answer is 4

Step-by-step explanation:

2/3 / 1/6

change the places of 1/6 to 6/1

2/3 / 6/1

the division sign changes to multiplication

2/3 * 6/1

cancel out the 3 and 6 to give

2/1 *  2/1

=4

As the x-values go to positive infinity, the function's values go to positive infinity. Then the correct option is D.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The graph of the function is given below.

From the graph, we can conclude that the value of the graph is always positive. So, the function will be an exponential function.

From the graph, as the x-values go to positive infinity, the function's values go to positive infinity. Then the correct option is D.

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Answer:

73.2

Step-by-step explanation:

you can find the answer using trigonometry relationship

sin31°=41/x

x=41/sin31°. sin31° is approximately equal to 0.56

x=41/0.56

x=73.2

Answer:

£39

Step-by-step explanation:

Given data

The sharing formula is

5:3

Let June get £x

Buck gets £26 more than june

Buck = x+26

Applying the part to part ratio method

5/3= x+26/x

cross multiply

3(x+26)= 5x

3x+78= 5x

78= 5x-3x

78= 2x

x= 78/2

x= £39

Hence June get £39

Step-by-step explanation:

Principal = 250,000

Rate = 4%

Simple interest = 850,000

Time = ?

\(t = \frac{100 \times interest}{principal \times rate} \\ t = \frac{100 \times 850000}{250000 \times 4} \\ t = \frac{100 \times 85}{25 \times 4} \\ t = \frac{8500}{100} \\ t = 85years\)

Relationship of data can be represented by 4n.

What is an expression?

Mathematical statements called expressions must contain a minimum of two terms with either numbers, variables, or both, connected by an operator. The four different types of mathematical operators are addition, subtraction, multiplication, and division. Mathematical expressions are sentences with a minimum of two numbers or variables, at least one math operation, and a mathematical concept. Let's examine the proper way to write expressions. A number is 6 more than half of another number, which is called x. A mathematical expression for this statement is x/2 + 6. To solve challenging puzzles, mathematical expressions are used.

Main  body:

Here as we can see that

2*4 =8

3*4=12  

4*4 =16

5*4=20

Hence , the answer is 4n.

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Answer:

It will cost Jane $21.00

Step-by-step explanation:

As, cost of 1 chocolate = x

The cost of 1 packet of chips = $3 + x

So no. Of 2 chocolate bars = x + x = 2x

And no. Of packet of chips = ($3+x) + ($3+x) + ($3+x) = 3(3+x) = 9+3x

So now = cost Of chocolate + cost of chips = $19

So = 2x + 9+3x = 9 + 5x

So 9 + 5x = $19

So 5x = $19 - 9 = $10

So 5x =10

x = 10/5

x = 2

So cost of 2 chocolate = 2x = 2($2) = $4

And 3 chip packet = 9+3x = 9+3($2) = 9+6 =$15

So now total = $4 + $15 = $19

Now for John = 2 chocolates and 3 packets of chips = $19

Now for Jane she has 3 chocolates and 3 packets of chips, so she has one more chocolate amd now we know that 1 chocolate = $2

So we will just add one more chocolate

So Jane will pay = $ 19 + $2 = $21

So it will cost Jane = $21:00

Answer:

See below

Step-by-step explanation:

\(2(x+5)-3 =15\)

Using the distributive property in the LHS we get

\(2x+10-3 =15\)

\(2x+7=15\)

Now add -7 both sides. So we have the subtraction property of equality.

\(2x+7+(-7)=15+(-7) \text{ This is what I meant for add}\)  

\(2x+7-7=15-7\)

\(2x=8\)

Now divide both sides by 2. So we have the division property of equality

\(\dfrac{2x}{2} =\dfrac{8}{2}\)

\(x=4\)

The equation has no solutions when m = 0, and when m ≠ 0, the equation has only one solution.

Here we have the equation:

m*x = 5

If we solve for x, we get:

x = 5/m

So, as long as m is different than zero, we will have one solution.

We can't have m = 0 because we can't divide by zero.

Then:

m > 0 or m < 0.

We have no solutions when m = 0, the equation becomes:

0*x = 5

0 = 5

This equation has no solution

And we never can have infinite solutions.

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\( \fbox{(2,5)}\)

Hello, substitute all the given coordinates & see if RHS match with LHS

given equation,

y = 4x-3

First coordinate,

(x,y) = (2,5)

5= 4×2-3

5=5

Hence, first solution satisfies the given equation,

let's solve for rest other cordinates,

second coordinate,

(x,y) = (5,5)

5= 4×5-3

5 ≠ 17

does not satisfy,

third coordinate,

(x,y) = (4,5)

5= 4×4-3

5 ≠ 13

does not satisfy,

fourth coordinate,

(x,y) = (4,5)

5 = 4×3-3

5 ≠ 9

does not satisfy.

Hence the correct answer is (2,5)

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In order to solve the inequality 5(x - 3) - 6(x - 2) ≤ 8 follow these steps:

1. Distribute the products on the left side and get rid of the parenthesis:

5(x - 3) - 6(x - 2) ≤ 8

5x - 5×3 - 6x + 6×2 ≤ 8

5x - 15 - 6x + 12 ≤ 8

2. Combine like terms on the left:

5x - 15 - 6x + 12 ≤ 8

5x - 6x - 15 + 12 ≤ 8

-x - 3 ≤ 8

3. Add 3 on both sides:

-x - 3 ≤ 8

-x - 3 + 3 ≤ 8 + 3

-x ≤ 11

4. Multiply both sides and invert the inequality symbol:

x ≥ -11

Then the solution for the given inequality is all the numbers that are greater or equal to 11. We can graph this solution on a number line like this:

a. The equilibrium interest rate,  is determined by the risk-free interest rate, the probability of repayment, and the cost of default.

b. The probability of the government repaying its loan can be calculated using the loan repayment threshold and the distribution of the output.

c. If the interest rate, r, is equal to or greater than the equilibrium interest rate, the borrowing country would default.

a. To find the equilibrium interest rate,  we need to consider the risk-free interest rate, the probability of repayment, and the cost of default. The equilibrium interest rate is given by the formula: r = r + (c/p), where r is the risk-free interest rate, c is the cost of default, and p is the probability of repayment.

b. The probability that the government will repay its loan can be calculated by determining the percentage of the output distribution that exceeds the loan repayment threshold. Since 0.5 of the output is required to repay the loan, we need to calculate the probability that the output exceeds L/0.5.

c. If the interest rate, r, is equal to or greater than the equilibrium interest rate, the borrowing country would default. This can be proven by comparing the repayment threshold (L/0.5) with the loan repayment amount (L + Lr). If the repayment threshold is greater than the loan repayment amount, the borrowing country would default.

Calculations and further details would be required to provide specific numerical answers for each part of the question.

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In a perfectly symmetrical distribution with a mean (µ) of 30, there is no specific mode because all values occur with equal frequency.

In a perfectly symmetrical distribution, such as a symmetric bell-shaped curve or a uniform distribution, each value occurs with the same frequency. This means that there is no value that occurs more frequently than others, resulting in multiple modes or no mode at all.

The mode is typically used to identify the most common value in a dataset, but in a perfectly symmetrical distribution, all values have equal frequency, and there is no single mode. Instead, the distribution is characterized by its symmetry around the mean (µ). The mean represents the central tendency of the distribution, indicating the balance point of the data. In this case, with a mean of 30, the distribution is centered around this value, with equal numbers of observations on either side.

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In order to solve the challenges we encounter every day, Problem solving strategies are needed. To tackle a specific problem, we must first comprehend it, then create a plan for resolving it, and finally, put the plan into action.            

To sum up, everyone must use problem-solving techniques to overcome the obstacles we confront.

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Answer:

Step-by-step explanation:

Here we would be using the midpoint formula to find the co-ordinates of the line segment joining the two given points.

Given points,

★ We have :

★ Midpoint of two points:-

Now, refer to the attachment.

Additional Information :

★ Centroid of a triangle :-

★ Distance Formula :-

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A. A sample size of 62 should be taken for a 95% level of confidence.

B. The sample size of 107 should be taken for a 99% level of confidence.

a. To estimate the sample size needed to estimate the mean time a staff member spends with each patient, we can use the formula for sample size calculation:

n = (Z^2 * σ^2) / E^2

Where:

n = required sample size

Z = Z-score corresponding to the desired level of confidence

σ = population standard deviation

E = desired margin of error

For a 95% level of confidence:

Z = 1.96 (corresponding to a 95% confidence level)

E = 2 minutes

σ = 8 minutes (population standard deviation)

Substituting these values into the formula:

n = (1.96^2 * 8^2) / 2^2

n = (3.8416 * 64) / 4

n = 245.9904 / 4

n ≈ 61.4976

Since we can't have a fraction of a sample, we round up the sample size to the nearest whole number. Therefore, a sample size of 62 should be taken for a 95% level of confidence.

b. For a 99% level of confidence:

Z = 2.58 (corresponding to a 99% confidence level)

E = 2 minutes

σ = 8 minutes (population standard deviation)

Substituting these values into the formula:

n = (2.58^2 * 8^2) / 2^2

n = (6.6564 * 64) / 4

n = 426.0096 / 4

n ≈ 106.5024

Rounding up the sample size to the nearest whole number, a sample size of 107 should be taken for a 99% level of confidence.

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Answer: (22)+(320)=56

Explanation: Using the numbers 2,0,2 and 3, we can make the number 56 by performing the mathematical operation (22)+(320) which equals to 8+60 which is equal to 56. The multiplication symbol * is used to get 8 and 60, and the addition symbol + is used to add 8 and 60 to get 56.

Only statement B: The graph of f(x) is narrower than the graph of g(x) is true.

We are given the two functions as:

f (x) = 5 x² ( red color function)

g (x) = 1 / 5 x² ( blue color function)

We need to tell which of the statements given about the graph of the function are correct.

Statement A :The graph of f(x) is wider than the graph of g(x).

False, as it can be seen from the graph.

Statement B :The graph of f(x) is narrower than the graph of g(x).

True, as g (x) is wider than f (x)

Statement C: The graphs open in opposite directions.

False, it open in same direction

Statement D: The y-coordinate of the vertex of f(x) is greater than the y-coordinate of the vertex of g(x).

False, it is same.

Therefore, we get that, only statement B: The graph of f(x) is narrower than the graph of g(x) is true.

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Answer:

3/6 chance.

Step-by-step explanation:

To roll an odd number on a six sided dice (Guessing it's six sided) you would have to roll either a 1, 3, or 5.  That would it 3 choices.  You get the six by taking the amount (like the amount of sides on the dice).  You would then have a 3/6 chance of rolling an odd number.

Answer:

no

Step-by-step explanation:

Lets she how much money she has

1.00   dollars

5 * .25 = 1.25 quarters

4 * .10 = .40 dimes

7 * .01 = .07 pennies

Add it all together

1 + 1.25+ .40 +.07 =2.72

3.50 - 2.72 =.78

She is 78 cents short