12. Karen wants to buy carpet for a room that measures 9 feet by 12 feet. How many square feet of carpet should she order?​

To access the first element of an array of integers called "numbers," you can use the expression:
numbers[0]`
This expression uses the array name "numbers" and the index "0" to access the first element.

To access the last element of "numbers," assuming it contains 10 elements, use the expression:

`numbers[9]`

Here, we use the index "9" since arrays are zero-indexed, meaning the last element in a 10-element array has an index of 9.
To access the first element of the array called numbers, we would use the expression "numbers[0]."

To access the last element of the array, assuming it contains 10 elements, we would use the expression "numbers [9]" since arrays are zero-indexed in most programming languages.

To access the last element of the array regardless of its length, we can use the expression "numbers [numbers.length-1]," which subtracts 1 from the length of the array to access the last element.
To access the last element, regardless of its length, use the expression:

'numbers [numbers. length - 1]'

This expression uses the "length" property of the array to find the total number of elements and subtracts 1 to get the correct index for the last element.

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Answer:

because there is 180 degrees in a line. if 105 degrees is taken away from the line. then (180 - 105) is 75 degrees.

(a) The limiting value for the logistic function is 1, meaning that as age increases, the probability of death upon contracting measles at that age approaches 100%.

(b) The limiting value of 1 indicates that as age increases, the risk of death from measles becomes almost certain.

(a) In the given model, the logistic function has a limiting value of 1. As age (t) increases, the probability of death from measles approaches 1, meaning that it becomes almost certain. This limiting value represents the maximum probability of death from measles that can be reached within the context of the model. It can be interpreted as the carrying capacity or upper bound for the probability of death from measles.

(b) In practical terms, the limiting value of 1 means that as individuals grow older, their vulnerability to death upon contracting measles increases significantly. The logistic model predicts that there is a point beyond which the risk of death becomes almost inevitable for individuals infected with measles. This underscores the importance of early vaccination and preventive measures, as they play a crucial role in reducing the risk of contracting measles at an early age when the probability of death is relatively lower.

(c) To find the age at which the model predicts a mortality rate of 50% (P = 0.5), we can set the given probability equation to 0.5 and solve for t. Substituting P = 0.5 into the equation, we get 0.5 = 1 / (1 + 77.39e^(-0.08t)). Solving this equation for t gives us t ≈ 8.66 years (rounded to two decimal places). Therefore, according to the model, the predicted age at which the mortality due to measles is 50% is approximately 8.66 years.

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Answer: 29/24

Step-by-step explanation:

change denominator to a common one, which is 24, then complete equation

Answer:

{-13, 13}

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

{−13, 13}

Answer:

Solution given:

7w²=1183

w²=1183/7

w=√(169)

w=±13

The most straightforward type of the proportion addressed in the diagram is 14:3, and it can't be additionally rearranged as the numbers have no normal factors other than 1.

We need to find the greatest common divisor (GCD) of the two numbers given in this case, which are 14 and 3, in order to determine the simplest form of the ratio shown in the graph.

14 and 3 have a GCD of 1, indicating that there are no other common factors than 1. This suggests that there is no way to further simplify the ratio.

The proportion 14:3 addresses a correlation between two amounts, with the main amount being 14 and the subsequent amount being 3. The relative sizes or amounts of these quantities are expressed by ratios. For this situation, the proportion demonstrates that the main amount is multiple times bigger than the subsequent amount.

Improving on a proportion implies lessening it to its least difficult structure by partitioning the two sides of the proportion by their GCD. However, there are no common factors to divide by because the GCD of 14 and 3 is 1. As a result, the given ratio remains in its simplest form, 14:3.

All in all, the most straightforward type of the proportion addressed in the diagram is 14:3, and it can't be additionally rearranged as the numbers have no normal factors other than 1.

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The equation that represent the distance between Peach Court and x+4= 17.

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.

It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity. If there is no 'equal to' symbol in the statement, it means it is not an equation.

Given:

Distance of city center from main street is 4 miles.

Distance of Peach court from main street is 17 miles.

Now, we have to know distance difference between Peach Court and Main Street

x= 17 -4

So, the equation to represent the distance is

x + 4 = 17

Hence, equation that represent the distance between Peach Court and x+4= 17.

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Based on the provided informations and given values , the expected payout of the game is calculated out to be  $177.

We can calculate the expected payout of the game by multiplying each payout amount by its corresponding probability and summing up the results:

Expected payout = ($200 x 0.126) + ($3,800 x 0.03) + ($190,000 x 0.0002)

Expected payout = $25.20 + $114 + $38

Expected payout = $177 (rounded to the nearest dollar)

Therefore, it can be concluded that the expected payout of the game is found to be $177.

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Answer:

0.8

Step-by-step explanation:

0.12 ÷ 0.15

= 0.8

The quantity of the diesel left in the tank after heating the institute is equal to 900 liters.

Capacity of a diesel tank to heat the institute is equal to 1500 liters

Quantity of the diesel consumed while heating the institute = 2/5

If 2/5 of the diesel tank's content has been consumed,

Then the remaining amount of diesel in the tank is equal to,

1 - ( 2 / 5 )

= ( 5 - 2 ) /5

= ( 3 / 5 )

The amount of diesel left in the tank after heating the institute is equal to,

( 3 / 5 ) x 1500 liters

=( 3 × 300 ) liters

= 900 liters

Therefore, the amount of the diesel left in the tank is equal to 900 liters.

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Answer:

50°

Step-by-step explanation:

Answer:

60,70

Step-by-step explanation:

<C 60 <70 because of alternating angles are equal and the sum of 60 70 50 are 180

The equation of a line passing through the given point and parallel to the given equation is y = -x + 2

The equation of a line in slope-intercept form is expressed as y = mx + b

where

m is the slope

b is the intercept

The equation in point-slope form is expressed as y - y1 =m(x - x1)

Given

Slope = -1

Point = (-2, 4)

Substitute

y - 4 =-1(x - (-2))

y - 4 = -(x+2)

y - 4 = -x - 2

y = -x - 2+ 4

y = -x + 2

Hence the equation of a line passing through the given point and parallel to the given equation is y = -x + 2

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To calculate the z-score for Stacey's score on the statistics exam, we can use the formula:

z = (x - μ) / σ

where:

- x is Stacey's score (86)

- μ is the mean of the statistics exam (63)

- σ is the standard deviation of the statistics exam (7)

Substituting the given values into the formula:

z = (86 - 63) / 7

Calculating:

z ≈ 3.29

Rounded to two decimal places, Stacey's z-score on the statistics exam is approximately 3.29.

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Answer:

8

Step-by-step explanation:

This problem uses the pythagorean theorem. 15 squared plus 8 squared equals 17 squared.

There are 5 ways that the sum of the dice be equal to 6 if a pair of distinct dice are rolled one time

It is the ordered arrangement of members belonging to a set with no repeats.

Analyzing the possibilities for the sum of the dice be equal to 6, assuming that each die has six sides:

Red die = 6 sides

Blue die = 6 sides

The possibilists are:

(Bleu, red)

(1,5)

(2,4)

(3,3)

(4,2)

(5,1)

There are 5 ways to get at sum of 6 if a pair of distinct dice are rolled one time

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To cover the cost of your child's college education, you need to calculate the annual interest rate on your $71,000 investment over 18 years to reach a total of $300,000.

To find the annual interest rate required, we can use the compound interest formula:

\(Future Value = Present Value * (1 + Interest Rate)^{Number of Periods\)

In this case, the future value (cost of college education) is $300,000, the present value (initial investment) is $71,000, and the number of periods is 18 years. We need to solve for the interest rate.

Rearranging the formula, we have:

\(Interest Rate = ((Future Value / Present Value)^{(1 / Number of Periods) }- 1) * 100\)

Plugging in the values, we get:

\(Interest Rate = (($300,000 / $71,000)^{(1 / 18)} - 1) * 100\)

Calculating this expression, the annual interest rate required to cover the cost of your child's college education is approximately 5.62%. Therefore, you would need to earn an annual interest rate of 5.62% on your $71,000 investment to reach the desired amount.

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Answer:

Step-by-step explanation:

solo las expresiones con signos de multiplicación pueden expresarse como potencias

\(4\times 4\times4\times4 = 4^4\\\\7\times7\times7 =7^3\\\\(-2)\times(-2) = (-2)^2\)

The number of freshmen that are students is 738

Let y represent the number of students that are freshmen

The freshmen class is made up of 480 female students

This number represents 65% of the freshmen class

Therefore the total number of students that are freshmen can be calculated as follows

y × 65/100= 480

65y/100= 480

Cross multiply both sides

65y= 480 × 100

65y= 48000

y= 48000/65

y= 738.4

≅ 738

Hence 738 students are freshmen

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So the answer is 1.3 after rounding to 10.

Yes, the samples are likely to be representative of all teachers and non-teachers in the state.

The median, in similarity with the mean is a statistical measure of central tendency.

Since, the double box-and-whisker plot shows the distribution of sample medians, it follows that the samples are likely to be representative of all teachers and non-teachers.

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Answer:

Step-by-step explanation:

Gradient = y²- y¹/x²- x¹

Gradient = 9-2/8-1 = 7/7

Therefore gradient = 1.

Am not sure but I hope this helps

Answer:

4/2

Step-by-step explanation:

The points on the intersection of the ellipsoid with the plane that are respectively closest and furthest from the origin are

(2–√,−2–√,2−22–√)

(−2–√,2–√,2+22–√)

Using Lagrange multipliers we attempt to find the extrema of f(x,y,z)=x2+y2+z2 given that g(x,y,z)=x−y+z−2=0 and that h(x,y,z)=x2+y2−4=0.

Given,

∇f=⟨2x,2y,2z⟩

∇g=⟨1,−1,1⟩

∇h=⟨2x,2y,0⟩

Extrema satisfy the condition that ∇f=μ∇g+λ∇h for some λ,μ∈R.

This is to say,

2x=2λx+μ

2y=2λy−μ

2z=μ

If λ=1 then μ=0 and so z=0, the g constraint tells us that x=y+2, and the h constraint tells us that y2+(y+2)2=4, meaning that either y=0 or y=2. This provides us with two crucial points in addition to the g constraint:

(2,0,0)

(0,−2,0)

Now assume λ≠1, and so

x=μ2−2λ

y=−μ2−2λ=−x

Since x=−y, we have that x=±2–√, y=∓2–√. Using the g constraint, our two critical points are

(2–√,−2–√,2−22–√)

(−2–√,2–√,2+22–√)

And then it's east to determine which is the max and which is the min out of these four critical points.

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Answer:

Just Add 25+25=50 and Subtract 180 by 50 to get 130.

Step-by-step explanation:

Answer:

21 miles per gallon.

420÷20

Step-by-step explanation:

A cheerful teen willing to help,

who listens to ,"Fight Song,"

stay salty,

stay positive...

Answer:

y = 10

Step-by-step explanation:

if the figure is to be a parallelogram, then

∠ ACB and ∠ DAC are alternate angles and are congruent , that is

5y - 13 = 7 + 3y ( subtract 3y from both sides )

2y - 13 = 7 ( add 13 to both sides )

2y = 20 ( divide both sides by 2 )

y = 10

Answer:

the answer for 1 1/3 is O 4/3

5 2/5 is T  28/5

2 4/5 is D  14/5

Step-by-step explanation:

All you have to do is multiply the whole number by the denominator and then add the numerator and the denominator stays the same.

Like on the second one you would multiply the 5 by the denominator which is also five then add the numerator,1, and that gives you the top number and the bottom one stays the same.

Sorry if I confused you but hope this helps!

You got this

Answer:

Step-by-step explanation:

Sum of all the angles of quadrilateral = 360

48 +113 + 86 + x = 360

247 + x = 360

x = 360 - 247

x = 113

f(x+h) = 2(x+h)^2 - 7(x+h) + 9

f(x+h) - f(x) = 4xh + 2h^2 - 7h.

hf(x+h) - f(x) = 2hx^2 + 4hx^2 + 2h^3 - 7hx - 7h^2 + 9h - 2x^2 + 7x - 9.

f(x+h) = 2(x+h)^2 - 7(x+h) + 9

Simplifying this expression, we get:

f(x+h) = 2(x^2 + 2xh + h^2) - 7x - 7h + 9

= 2x^2 + 4xh + 2h^2 - 7x - 7h + 9

So, f(x+h) = 2x^2 + 4xh + 2h^2 - 7x - 7h + 9.

f(x+h) - f(x), we subtract the value of f(x) from f(x+h):

f(x+h) - f(x) = (2x^2 + 4xh + 2h^2 - 7x - 7h + 9) - (2x^2 - 7x + 9)

f(x+h) - f(x) = 2x^2 + 4xh + 2h^2 - 7x - 7h + 9 - 2x^2 + 7x - 9

= 4xh + 2h^2 - 7h

So, f(x+h) - f(x) = 4xh + 2h^2 - 7h.

hf(x+h) - f(x), we multiply f(x+h) by h and subtract f(x) from the result:

hf(x+h) - f(x) = h(2x^2 + 4xh + 2h^2 - 7x - 7h + 9) - (2x^2 - 7x + 9)

Expanding and simplifying this expression, we get:

hf(x+h) - f(x) = 2hx^2 + 4hx^2 + 2h^3 - 7hx - 7h^2 + 9h - 2x^2 + 7x - 9

So, hf(x+h) - f(x) = 2hx^2 + 4hx^2 + 2h^3 - 7hx - 7h^2 + 9h - 2x^2 + 7x - 9.

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