5. Nathan is interested in leasing a new car. He collected this information from two leasing companies. Leasing Company Monthly Payment Mileage Limit Extra Mileage Charge ABC $463 10,000 $0.25/mi XYZ $473.50 12,000 $0.10/mi Nathan’s drive to and from work each day is about 45 miles. If he goes to work about 226 days in a given year, what is the minimum amount he would have to pay in excess mileage if he leased from the ABC Leasing Company?

Answer:

9.00-3.29= 5.71 meters rope remaining

Answer:

A) x = -4

Step-by-step explanation:

\(3x-2\left(6-x\right)=7x+2\left(5+x\right)-6\\\\\mathrm{Expand\:}3x-2\left(6-x\right):\quad 5x-12\\\\\mathrm{Expand\:}7x+2\left(5+x\right)-6:\quad 9x+4\\5x-12=9x+4\\\\\mathrm{Add\:}12\mathrm{\:to\:both\:sides}\\5x-12+12=9x+4+12\\\\Simplify\\5x=9x+16\\\\\mathrm{Subtract\:}9x\mathrm{\:from\:both\:sides}\\5x-9x=9x+16-9x\\\\Simplify\\-4x=16\\\\\mathrm{Divide\:both\:sides\:by\:}-4\\\frac{-4x}{-4}=\frac{16}{-4}\\\\Simplify\\x=-4\)

Answer:

the answer is a

Step-by-step explanation:

A function assigns values. The function that represents the graph is (1/4)^(x+2).

A function assigns the value of each element of one set to the other specific element of another set.

The function of the graph that will represent the graph given below is

\(y = (\dfrac{1}{4})^{(x+2)}\)

Thus, the function that represents the graph is (1/4)^(x+2).

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Answer:

A

Step-by-step explanation:

The number of different standard license plates possible in Arizona, without any restrictions, is 26^6 or 308,915,776.

Now let's explain the calculation. In Arizona, a standard license plate consists of 6 letters, each of which can be any letter from a through z. Since there are 26 letters in the English alphabet, we have 26 options for each position in the license plate.

To determine the total number of different license plates possible, we multiply the number of options for each position together. In this case, we multiply 26 by itself six times (26^6) to account for all possible combinations of six letters.

By raising 26 to the power of 6, we find that there are 308,915,776 different standard license plates possible in Arizona without any restrictions. Each plate can have a unique arrangement of letters, allowing for a vast number of combinations and possibilities.

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Answer:

descrease & increase

Step-by-step explanation:

Answer:

Decrease and increase.

Step-by-step explanation:

Answer:

Undercoverage

Step-by-step explanation:

Using a local telephone book to select a simple random sample could introduce UNDERCOVERAGE bias.

I hope it helps! Have a great day!

To solve the given difference equation using the z-transform, we first need to define the z-transform of a sequence. So, the solution to the given difference equation is y(k) = 1/2 * (2^k) * u(k-2).

The z-transform of a sequence y(k) is denoted as Y(z) and is defined as the summation of y(k) times z^(-k), where z is a complex variable. So, the solution to the given difference equation is y(k) = 1/2 * (2^k) * u(k-2)

Now, let's solve the difference equation step by step:

1. Take the z-transform of both sides of the equation. Using the linearity property of the z-transform, we get:
\(Y(z) - 3z^{-1}Y(z) + 2z^{-2}Y(z) = 2z^{-1}U(z) - 2z^{-2}U(z)\)

2. Simplify the equation by factoring out Y(z) and U(z):
\(Y(z)(1 - 3z^{-1} + 2z^{-2}) = 2z^{-1}U(z) - 2z^{-2}U(z)\)

3. Divide both sides of the equation by (1 - 3z^(-1) + 2z^(-2)):
\(Y(z) = (2z^{-1}U(z) - 2z^{-2}U(z))/(1 - 3z^{-1} + 2z^{-2})\)

4. Substitute the given expression for U(z):
\(Y(z) = (2z^{-1}k - 2z^{-2}k)/(1 - 3z^{-1} + 2z^{-2})\)

5. Simplify the equation by performing algebraic manipulations:
\(Y(z) = (2z^{-1}k - 2z^{-2}k)/(1 - 3z^{-1} + 2z^{-2})\)
    \(= (2z^{-1}k - 2z^{-2}k)/(z^{-2} - 3z^{-1} + 2)\)

6. Rewrite the equation in terms of partial fraction decomposition:
Y(z) = A/(z - 1) + B/(z - 2)

7. Solve for the values of A and B by equating the numerators on both sides:
\(2z^{-1}k - 2z^{-2}k = A(z - 2) + B(z - 1)\)

8. Substitute z = 1 and z = 2 into the equation above to find the values of A and B:
At z = 1: \(2(1)^{-1}k - 2(1)^{-2}k = A(1 - 2) + B(1 - 1)\)
            2k - 2k = -A
            A = 0
At z = 2: \(2(2)^{-1}k - 2(2)^{-2}k\) \(= A(2 - 2) + B(2 - 1)\)
              k - k/2 = B
              B = 1/2

9. Substitute the values of A and B back into the partial fraction decomposition equation:
Y(z) = 0/(z - 1) + 1/(2(z - 2))
    = 1/(2(z - 2))

10. Take the inverse z-transform of Y(z) to find the solution y(k):
y(k) = 1/2 * (2^k) * u(k-2)
Therefore, the solution to the given difference equation is y(k) = 1/2 * (2^k) * u(k-2).

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Answer:

Is D for your question

Step-by-step explanation:

hope this helps

Answer:

answer is D

step by step

because i looked up the answer

Answer:

a.) 10 months

b.) Kool Karate

c.) Karate Klub

Step-by-step explanation:

Karate Klub : y=25x+200

Kool Karate : y=35x+100

A.) First, set the equations equal to each other then solve for x. \(A.) 25x+200=35x+100\\\\\)

take away 100 from both sides

\(25x+100=35x\)

take away 25x from both sides

\(100=10x\)

divide 10 from both sides so x can be by itself and equal to 1

\(10=x\)

This means that at 10 months, the cost is the same for both.

B.) Substitute 6 for x in both equations

Karate Klub : \(y=25(6)+200\\y=350\)

Kool Karate :\(y=35(6)+100\\y=310\)

The cost for Kool Karate is cheaper, so that is what he should join.

C.)  Substitute 12 for x in both equations.

x=12 because there are 12 months in a year.

Karate Klub:\(y= 25(12)+200\\y=500\)

Kool Karate:\(y=35(12)+100\\y=520\)

The cost for Karate Klub is cheaper, so that is what he should join.

The confidence interval for the mean weight of all Utah County Fair pigs is given by the lower and upper bounds.

To calculate a 95% confidence interval for the mean weight of all Utah County Fair pigs, we need some sample data from the population. The confidence interval formula relies on the sample mean, sample standard deviation, sample size, and the desired level of confidence.

Assuming you have a sample of pig weights from the Utah County Fair, follow these steps to calculate the confidence interval:

Collect the sample data: Measure the weights of a random sample of pigs from the Utah County Fair. Let's say you have a sample size of n, and you record the weights as x₁, x₂, ..., xn.

Calculate the sample mean : Sum all the weights and divide by the sample size (n). This will give you the average weight of the pigs in your sample.

Calculate the sample standard deviation (s): Determine the standard deviation of the weights in your sample. This measures the variability of the weights within the sample.

Determine the critical value : For a 95% confidence level, the critical value z* is approximately 1.96. This value corresponds to a standard normal distribution.

Calculate the standard error (SE): Divide the sample standard deviation (s) by the square root of the sample size (n).

Calculate the margin of error (ME): Multiply the standard error (SE) by the critical value to obtain the margin of error. This accounts for the variability in the sample mean.

Calculate the lower and upper bounds of the confidence interval:

The confidence interval for the mean weight of all Utah County Fair pigs is given by the lower and upper bounds.

Please note that without specific sample data, it is not possible to provide a precise confidence interval. The steps provided here are a general guideline for calculating a confidence interval based on sample data.

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Answer:

WHAT DOES BRAINLEST MEAN???

Step-by-step explanation:

       Hence, OPTION (C) is your answer:  X  =  44

Step-by-step explanation:

       √x + 5 - 3 = 4

        √x +  5   =  3  +  4

        √x +  5   =   7

         (√x  +   5)2     =     (7)2

            x   +   5         =   49

        x   -  44     =   0

             +44      =   44

       X                =   44

       Hence,  X  =  44

        Equation: √x  +  5  =  7

      √(44)  +  5  =  7

    √49  =   7

            Hence,   x   =   44

        I hope this helps!

Answer:

They are called vertical angles but are also known as "Vertically Opposite Angles"

Step-by-step explanation:

can i get brainliest im 1 away from ranking up

Answer:

"Vertical" refers to the vertex

Vertical angles are pair angles formed when two lines intersect. Vertical angles are sometimes referred to as vertically opposite angles because the angles are opposite to each other.

Step-by-step explanation:

The angles opposite each other when two lines cross. They are always equal. In this example a° and b° are vertical angles. "Vertical" refers to the vertex (where they cross), NOT up/down. They are also called vertically opposite angles.

Answer:

y=2.5x-7

Step-by-step explanation:

First, 5x - 2y = 4

   =>      - 2y = 4 - 5x

                 y = 2.5x -2

Since the line we want to know is parallel to the given one,

its slopw would be 2.5 as well

so let the line passes through the point (2,-2) be y=2.5x+a

then 2.5* 2 +a = -2 => a = -7

Final answer: y=2.5x-7  

y=5/2x-7  is equation of the line that passes through the point (2,-2) and is parallel to the line 5x – 2y = 4.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

Given that, a line is passing through (2,-2) and is parallel to  line 5x – 2y = 4.

We need to find the equation of other line.

We need to write the equation of line in slope intercept form.

5x – 2y = 4

-2y=4-5x

2y=5x-4

y=5/2x-2

The slope of line is 5/2

Since the line we want to know is parallel to the given one,

If two lines are parallel then slope of two lines will be parallel.

So the slope of line passing through (2, -2) should be 5/2.

let the line passes through the point (2,-2) be y=5/2x+c

then 5/2(2) +c = -2

c=-2-5

c=-7

Equation of line parallel to 5x-2y=4 is y=5/2x-7  

Hence y=5/2x-7  is equation of the line that passes through the point (2,-2) and is parallel to the line 5x – 2y = 4.

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Answer:

The total length of the string is 7.85 feet and  the center should be 2.236 feet far the string be nailed into the base

Step-by-step explanation:

Circumference of ellipse = \(\pi(a+b)\)

Circumference of semi-ellipse = \(\frac{\pi(a+b)}{2}\)

we are given that The opening is to have a height of 2 feet at the center and a width of 6 feet along the base.

So, \(a = \frac{6}{2}=3 , b = 2\)

Circumference of semi-ellipse =\(\frac{3.14(3+2)}{2}=7.85 feet\)

Distance from center =\(\sqrt{a^2-b^2}=\sqrt{3^2-2^2}=2.236 feet\)

Hence the total length of the string is 7.85 feet and  the center should be 2.236 feet far the string be nailed into the base

Answer:

Step-by-step explanation:

To find the class limits for the lowest class, you need to know the class interval, which is the difference between the upper class limit and the lower class limit of each class1. You can find the class interval by subtracting the first two class midpoints: 72.5 - 69.5 = 3.

Then, you can find the lower class limit of the lowest class by subtracting half of the class interval from the first class midpoint: 69.5 - 1.5 = 68.

Similarly, you can find the upper class limit of the lowest class by adding half of the class interval to the first class midpoint: 69.5 + 1.5 = 71.

Therefore, the class limits for the lowest class are 68 and 71.

Answer:

$52

Step-by-step explanation:

32.50/5=6.50

1 costs $6.50

8x6.50=$52

Answer:

$52 dollars because you have to find the original number which is what is 1 box equal to which is $6.50 then you multiply $6.50 by 8 and get $52

Hope I helped!

Answer:

d

Step-by-step explanation:

using the tangent ration in the left- side right triangle

tan56 = \(\frac{opposite}{adjacent}\) = \(\frac{115}{y}\) ( y represents the adjacent side )

multiply both sides by y

y × tan56° = 115 ( divide both sides by tan56° )

y = \(\frac{115}{tan56}\) ≈ 77.6

--------------------------------

using the tangent ratio in the large outer right triangle

tan35° = \(\frac{opposite}{adjacent}\) = \(\frac{115}{x+y}\) ( multiply both sides by x + y )

(x + y) × tan35° = 115 ( divide both sides by tan35° )

x + y = \(\frac{115}{tan35}\) ≈ 164.2

then

x + 77.6 = 164.2 ( subtract 77.6 from both sides )

x = 86.6

Answer:

Step-by-step explanation:

\(tan \ 56 =\dfrac{opposite \ side }{adjacent \ side}\\\\\\1.4825=\dfrac{115}{y}\\\\y=\dfrac{115}{1.4825}\\\\\\\)

y = 77.6

\(tan \ 35 =\dfrac{115}{x+77.6}\\\\0.7*(x +77.6) =115\\\\x + 77.6 =\dfrac{115}{0.7}\\\\\)

x + 77 .57 = 164.2

x = 164.2 - 77.6

x = 86.6

The inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.

        ≤ : less than or equal to

        ≥ : greater than or equal to

        < : less than

        > : greater than

        ≠ : not equal to

Given is the maximum load for a certain elevator is 2000 pounds. The total weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs 243 pounds enters the elevator with a crate of weight [w].

        1400 + 243 + w ≤ 2000

        w + 1643 ≤ 2000

        w + 1643 ≤ 2000

        w ≤ 2000 - 1643

        w ≤ 357

Therefore, the inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.

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Answer:The set of numbers that could represent the lengths of the sides of a right triangle is 3, 4, 5.This is because these numbers satisfy the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the two shorter sides (legs) is equal to the square of the longest side (hypotenuse). In other words, for a right triangle with legs a and b and hypotenuse c, a² + b² = c².In the case of 3, 4, 5, we have:3² + 4² = 9 + 16 = 25 = 5²So, these numbers could represent the lengths of the sides of a right triangle.The other sets of numbers, 8, 12, 16 and 16, 32, 36, and 9, 10, 11, do not satisfy the Pythagorean theorem and therefore cannot represent the lengths of the sides of a right triangle.

Step-by-step explanation:

By setting the numerator and denominator equal to each other, we eliminate any potential for additional solutions or asymptotes in the rational equation. Therefore, the equation y = x represents a rational equation with one solution.

To create a rational equation with one solution, we can start with a simple linear equation, such as y = x. We can then turn this equation into a rational equation by dividing both sides by x. This gives us the equation y/x = 1.

To ensure that the rational equation has one solution, we can set the numerator and denominator of the rational function equal to each other. This gives us the equation y = x. This equation represents a rational function where the graph is a straight line passing through the origin with a slope of 1.

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The account balance at the end of the month is $-1.04.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Josiah's monthly bank statement showed the following deposits and withdrawals: $94.57, -−$87.78, -−$16.36, -−$64.92, $10.73 If Josiah's balance in the account was $62.72 at the beginning of the month.

The balance after the end of the withdrawal and deposits will be,

Account balance = $62.72 + $94.57−$87.78−$16.36−$64.92 + $10.73

Account balance = $-1.04

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1. The expression that represents the area of the shaded region is π (R² - r²). 2. Yes, the expression is a polynomial with degree 2. 3. The difference is given by the (R - r). It is a polynomial with degree 1.

When variables and coefficients are joined using addition, subtraction, and multiplication operations, the result is a polynomial. The coefficients of a polynomial can be any real number, and the variables can only have non-negative integer exponents. Polynomials can have one or more terms, and they can be categorised according to the degree of the variable in the expression with the largest power. For instance, the aforementioned polynomial is of fourth degree since the maximum power of the variable x is 4.

The area of the circle is given as:

A = πr²

For the outer circle the area is:

A1 = πR²

The area of inner circle is:

A2 = πr²

Now, the area of the shaded portion is:

A = A1 - A2

A = πR² - πr²

A = π (R² - r²)

Hence, the expression that represents the area of the shaded region is π (R² - r²).

2. Yes, the expression is a polynomial with degree 2.

3. The difference between the two radii is given by the expression R - r. It is a polynomial with degree 1.

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Answer:

34 if i am wrong i  apologies

Step-by-step explanation:

Since the production of y must exceed the production of x by at least 100 units, we can write a second inequality:

Looking at the function P, we can see that the coefficient multiplying y is greater than the coefficient multiplying x, therefore increasing y instead of x will have a bigger increase in P.

But from the inequality x + 2y <= 1400, we can see that the "cost" of producing y is two times the "cost" of producing x, that is, for one y produced, we could have produced 2x instead.

The coefficient of y is greater, but it's not more than 2 times greater, therefore it's better to produce x than y.

Since y needs to be at least 100 more than x, let's choose the minimum amount of y to satisfy the inequalities:

Therefore the values of x and y that give the maximum profit are x = 400 and y = 500.

Graphing the two inequalities, we have:

The feasible region is the intersection region (between red and blue).

The vertices are:

(0, 100), (400, 500), (0, 700).

Calculating the maximum profit (with vertex (400, 500)), we have:

Therefore the production that yields the maximum profit is x = 400 and y = 500, and the maximum profit is P = 15700.

Using a quadratic function, it is found that:

a) It hits the ground after 2 seconds.

b) Your friend's stick hits the ground 0.83 seconds later.

It is given by:

\(s(t) = -16t^2 + v(0)t + h(0)\)

In which:

Item a:

Dropped at rest from a height of 64 feet, hence v(0) = 0, h(0) = 64, so the equation is:

\(s(t) = -16t^2 + 64\)

It hits the ground when s(t) = 0, hence:

-16t^2 + 64 = 0

t^2 = 4

t = 2.

It hits the ground after 2 seconds.

Item b:

For your friend, we have that h(0) = 144, hence:

-16t^2 + 144 = 0

t^2 = 8.

t = 2.83.

2.83 - 2 = 0.83.

Your friend's stick hits the ground 0.83 seconds later.

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