{(2, 2),(4, 4),(6, 6),(8, 8)}
Is a Function – { ( 2, 2 ),( 4, 4 ),( 6, 6 ),( 8, 8 ) }
Is not a Function – { ( 2, 2 ),( 4, 4 ),( 6, 6 ),( 8, 8 ) }

{(0, 3),(3, 5),(5, 6),(8, 4)}
Is a Function – { ( 0, 3 ),( 3, 5 ),( 5, 6 ),( 8, 4 ) }
Is not a Function – { ( 0, 3 ),( 3, 5 ),( 5, 6 ),( 8, 4 ) }

{(1, 2),(3, 3),(4, 8),(6, 3)}
Is a Function – { ( 1, 2 ),( 3, 3 ),( 4, 8 ),( 6, 3 ) }
Is not a Function – { ( 1, 2 ),( 3, 3 ),( 4, 8 ),( 6, 3 ) }

{(3, 4),(5, 2),(5, 6),(7, 3)}
Is a Function – { ( 3, 4 ),( 5, 2 ),( 5, 6 ),( 7, 3 ) }
Is not a Function – { ( 3, 4 ),( 5, 2 ),( 5, 6 ),( 7, 3 ) }


which is not a function and which is a function?

The quadratic that has roots a+3 and b+3 between a and b are 2x² - 6x + 12 = 0

Let's start by finding the sum and product of the roots a and b. Vieta's formulas state that the sum of the roots of a quadratic equation of the form ax² + bx + c = 0 is equal to -b/a, and the product of the roots is equal to c/a. In this case, the equation is 2y² - 6y + 3 = 0, so the sum of the roots a and b is -(-6)/2 = 3, and the product is 3/2.

Now we can use these values to find the quadratic equation that has roots a+3 and b+3. To do this, we need to use the fact that if x = a or b is a root of the equation ax² + bx + c = 0, then the equation can be written as a(x-a)(x-b) = 0.

Let's first find the values of a+3 and b+3. We have a+3 = (3 + √(3)/2) + 3 = (6 + √(3))/2, and b+3 = (3 - √(3)/2) + 3 = (6 - √(3))/2.

Using these values, we can now write the quadratic equation that has roots a+3 and b+3 as follows:

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

Expanding the brackets and simplifying, we get:

a(x² - (a+b+6)x + (a+3)(b+3)) = 0

Substituting the values of a, b, and the sum and product of the roots that we found earlier, we get:

2(x² - 3x + 6) = 0

This is the quadratic equation that has roots a+3 and b+3. We can expand and simplify this equation to get it into standard form:

2x² - 6x + 12 = 0

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Answer:

The radius of the clock is 7.72 meters

Step-by-step explanation:

Here, we want to calculate the radius of a clock which has a circumference of 48.5 m

Mathematically;

Circumference C = 2 * pi * r

48.5 = 2 * 22/7 * r

7 * 48.5 = 44r

r = (7 * 48.5)/44

r = 7.72 meters

The rate percent per annum compound Interest that Rs.2,000 will amount to Rs.2315.25 in 3 years is 5.

Given;

Principal (P) = Rs 2000

Amount (A) = Rs 2315.25

Period (n) = 3 years

Then we can used the formular below to perform the calculation

A / P = {1 + (r / 100)^n

2315.25 / 2000 = (1 + (r / 100))^3

1 + (r / 100) = 21 / 20

r / 100 = (21 / 20) – 1

r / 100 = 1 / 20

r = 100 / 20

r = 5

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Answer:

your answer would be 1253in^3

Step-by-step explanation:

there are two boxes

one box has the dimensions 7,5,5

the other has the dimensions 14,11,7

you would have to multiply all the dimensions

7*7*5=175

14*11*7=1078

then you add the two products together

1078+175=1253

hope this helps! have a nice day :)

Answer:

1253in^3

Step-by-step explanation:

7*7*5=175

14*11*7=1078

then you add the two products together

1078+175=1253in ^3

i hoped i helped ^ ^

Answer:

B

Step-by-step explanation:

Answer:

{s | s < 90}

Step-by-step explanation: Took test

The correct interpretation of the 90% confidence interval is: c) 90% of the time, Kat can be certain that the calculated interval (22.96, 26.64) accurately represents the real average number of eggs that chickens on this farm lay.

What is confidence interval?

An predicted range of values for the true population parameter is known as a confidence interval.

The calculation for the 90% confidence interval can be done using the formula:

Confidence Interval = Sample Mean ± (Critical Value * Standard Deviation / √(Sample Size))

Given:

Sample Mean (x) = 24.8 eggs

Standard Deviation (σ) = 6.9 eggs

Sample Size (n) = 40

Confidence Level = 90%

For a 90% confidence level, the critical value is approximately 1.645.

Now, plug in the values into the formula:

Confidence Interval = 24.8 ± (1.645 * 6.9 / √(40))

Calculate the standard error (SE) by dividing the standard deviation by the square root of the sample size:

SE = 6.9 / √(40)

Calculate the margin of error by multiplying the critical value with the standard error:

Margin of Error = 1.645 * SE

Finally, calculate the confidence interval:

Confidence Interval = 24.8 ± Margin of Error

Perform the calculations to find the lower and upper bounds of the confidence interval:

Lower Bound = 24.8 - Margin of Error

Upper Bound = 24.8 + Margin of Error

The resulting confidence interval is (22.96, 26.64).In this case, the confidence interval (22.96, 26.64) is constructed based on the sample mean of 24.8 and the standard deviation of 6.9.

Option c correctly states that Kat can be 90% confident that the true mean number of eggs chickens from this farm lay falls within the interval (22.96, 26.64). This means that if we were to repeat the sampling process multiple times and construct confidence intervals, about 90% of those intervals would contain the true mean.

Options a and b are incorrect because they do not accurately describe the interpretation of a confidence interval. Option d is also incorrect as it mentions "repeated sampling" but does not accurately convey the meaning of the confidence interval capturing the true mean.

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Answer:

lily - 5

5+8= 13

James - 13

13+5= 18

18-75= 57

Michael - 57

The marked price of the radio is Rs 10000.

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

Discount = 10%

VAT = 13%

VAT - Selling price = 1170

Represent the price of the radio with x

Using the above as a guide, we have the following:

Discount = 10% implies 0.9x

VAT = 13% implies 0.9x * 1.13 = 1.017x

So, the difference is

1.017x - 0.9x = 1170

This gives

0.117x = 1170

Divide

x = 10000

Hence, the price of the radio is Rs 10000.

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Answer: 22.5 and -19.5

Step-by-step explanation:

The equation of the line in function notation is y.=-2x + 5

The standard equation of a line is expressed as y = mx + b

where

m is the slope

b is the y-intercept

Given the equation

2y=x-4

y = 1/2x - 2

The slope perpendicular will be -2

Substitute into y-y₁ = m(x-x₁)

y-(-7) = -2(x-6)

y+7 = -2x +12

y = -2x  + 5

Hence the equation of the line in function notation is y.=-2x + 5

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Answer:

It's 211

Step-by-step explanation:

Just did it on edge

Answer:

211

Step-by-step explanation:

Answer:

250÷60 S= 4.16

Step-by-step explanation:

Approximately 21 times

The simplified forms of the fractions are 3 and -5 repectively

To simplify a fraction, you divide both the numerator (top number) and denominator (bottom number) by their greatest common factor (GCF) until there are no more common factors. The result will be the simplified form of the fraction.

We have to note that;

1 ) 1 + 1/2 = 3/2

Then we have;

3/2 * 2/1 = 6/2 = 3

2) 3/4 - 2 = -5/4

Then we have;

-5/4 * 4/1 = -5

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Answer:

2. A. articulation

3. D. amateur

Step-by-step explanation:

Use the 3-point curved line drawing tool to draw the average cost curve for quantities q = 1, q = 2, and q = 3. Connect these points smoothly to form the average cost curve.

To calculate the formulas for average fixed cost (AFC), marginal cost (MC), average variable cost (AVC), and average cost (AC) based on the cost function C = 6 + 8q, we can use the following equations: Average Fixed Cost (AFC): AFC = Total Fixed Cost (TFC) / Quantity (q). Since the cost function C = 6 + 8q does not have any fixed cost component, AFC would be zero. Marginal Cost (MC): MC = Change in Total Cost (ΔTC) / Change in Quantity (Δq). The cost function C = 6 + 8q has a constant marginal cost of 8. Average Variable Cost (AVC): AVC = Total Variable Cost (TVC) / Quantity (q). Since the cost function C = 6 + 8q does not have any variable cost component, AVC would be the same as MC, which is 8.

Average Cost (AC): AC = Total Cost (TC) / Quantity (q); AC = (Total Fixed Cost + Total Variable Cost) / Quantity; AC = (6 + 8q) / q; AC = 6/q + 8. Now, for the graphical representation: Use the line drawing tool to draw the marginal cost curve, which is a straight line with a slope of 8. Label this line 'MC'. Use the 3-point curved line drawing tool to draw the average cost curve for quantities q = 1, q = 2, and q = 3. Connect these points smoothly to form the average cost curve. Label this curve 'AC'. Please note that the shape and position of the curves will depend on the specific quantities chosen, but the general trend will be a downward-sloping MC curve intersecting the U-shaped AC curve.

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Answer:

56 chickens or 112 legs

Answer:

number 6 is −5/6=1

Step-by-step explanation:

The standard error of the mean is $128.125

Given:

a random sample is made of 256 middle managers concerning their annual incomes. the sample mean is computed to be $35,420. if the population standard deviation is $2,050.

n = 256

σ = 2050

standard error = standard deviation / sqrt of n

= 2050/\(\sqrt{256}\)

= 2050 / \(\sqrt{16*16}\)

= 2050 / \(\sqrt{16^2}\)

= 2050/16

= 1025/8

= 128.125

Therefore The standard error of the mean is $128.125.

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Answer:

B

Step-by-step explanation:

\(( \sqrt{c})^{2}= \sqrt{c}* \sqrt{c}= \sqrt{c*c}= c\\\)

Answer:

\(( - ) \times ( - ) = ( + )\)

Negative × Negative = positive

Example;

\( (- 1) \times (- 1 )=( + 1)\)

I hope I helped you^_^

Answer:

3, 4, 5

Step-by-step explanation:

3 ^2 = 9

4 ^2 = 16

5 ^2 = 25

9 + 16 = 25

Answer:

0.56

it's basically the number closest to 50. Don't get tricked by the 0.05 because that's only 5% not 50%

Answer:

The answer that I got was 2123.72

We can use Coulomb's law to calculate the magnitude of the electric field at a distance r away from a point charge Q:

E = k * Q / r^2

where k is Coulomb's constant, Q is the charge of the point charge, and r is the distance from the point charge.

In this problem, we have a point charge Q of -10 nC located at (1.2 cm, 0 cm), and we want to find the x-component of the electric field at a distance r = 5.3 cm away at position (-4.1 cm, 0 cm).

To find the x-component of the electric field, we need to use the cosine of the angle between the electric field vector and the x-axis, which is cos(180°) = -1.

So, the x-component of the electric field at position (-4.1 cm, 0 cm) is:

E_x = - E * cos(180°) = - (k * Q / r^2) * (-1)

where k = 9 x 10^9 N*m^2/C^2 is Coulomb's constant.

Substituting the given values, we get:

E_x = - (9 x 10^9 N*m^2/C^2) * (-10 x 10^-9 C) / (0.053 m)^2

E_x ≈ -30,566.04 N/C

Rounding this to two significant figures and including the appropriate units, we get:

The x-component of the electric field is about -3.1 x 10^4 N/C (to the left).

Answer:

1.5 minutes

Step-by-step explanation:

I know this because half of 2 is 1 so you split 3 in half for 1.5

Answer:

it would take the kangaroo 1.5 mins

Step-by-step explanation:

2 divided by 3 is 1.5

i hope this helps!!!

Therefore, there are 10 different signals that can be generated using 5 flags of different colors, where each signal requires the use of 2 flags, one below the other.

To determine the number of different signals that can be generated using 5 flags of different colors, where each signal requires the use of 2 flags, one below the other, we can use the concept of combinations. Since each signal consists of 2 flags, we need to select 2 flags out of the 5 available. The order of selection does not matter, as the flags are stacked vertically. The number of combinations of selecting 2 flags out of 5 can be calculated using the binomial coefficient formula:

C(n, k) = n! / (k! * (n - k)!)

Where:

C(n, k) represents the number of combinations of selecting k items from a set of n items.

n! denotes the factorial of n, which is the product of all positive integers less than or equal to n.

In this case, n = 5 (5 flags) and k = 2 (selecting 2 flags).

Plugging in the values:

C(5, 2) = 5! / (2! * (5 - 2)!)

= 5! / (2! * 3!)

= (5 * 4 * 3!) / (2! * 3!)

= (5 * 4) / 2

= 10

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Answer:

252 square inches.

Step-by-step explanation:

Split the Cube into three shapes.

You can make the biggest cube 12 by 15 and mutliply those together.

That would be 180.

Now you are left with 2 other smaller cubes.

3 * 6 = 18

6 times 9 = 54

The Final Answer is 252 square inches.

Answer:

y = -3x + 2

Step-by-step explanation:

To find the slope of an equation you can do (y2-y1)/(x2-x1). Plug the values in from the equation and you get (-1+7)/(1-3), or 6/-2. This means the slope is -3. Then you plug the values of y and x into an equation y = -3x + b, and you get -1 = (-3)1 + b. Solve for b. -1 = -3 + b, (add 3 to each side) 2 = b. Then plug b back into your equation and you get y = -3x + 2

Answer:

-3x+2=y

Step-by-step explanation:

u need to find the slope intercept formula which mx+b=y

m=slope

b=y-intercept

first u should find the slope which is y2-y1/x2-x1

point 1:(1,-1)

point 2:(3,-7)

-7+1/3-1=-6/2=-3

m=-3

now replace the variables

-3(1)+b=-1

-3 times 1=-3

-3+b=-1

add 3 to both sides

b=2

now the equation is -3x+2=y

Answer:

The order is from top to bottom just an FYI :)

First blank: 1

Second blank: 7

Third blank: 4

Step-by-step explanation:

I did the division, got the answer as 1.1, so the first blank is 1. The second blank should be 7 and the third blank should be 4 so that the numbers subtract to 0.