a=3,k=12,z=6,h=4 Evaluate algebraic expression
k-a+h

To be able to purchase the car, you would need to save around 198.67 every month for 24 months.

To determine how much money you would have to save every month for 12 months or 24 months, we need to divide the cost of the car by the number of months and round the result up to the nearest cent to ensure that you have enough money to buy the car at the end of the saving period.

For 12 months:

The amount of money you would have to save every month for 12 months is:

4,768 / 12 = 397.33 (rounded up to the nearest cent)

So, you would have to save about 397.33 every month for 12 months to be able to buy the car.

For 24 months:

The amount of money you would have to save every month for 24 months is:

4,768 / 24 = 198.67 (rounded up to the nearest cent)

So, you would have to save about 198.67 every month for 24 months to be able to buy the car.

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The cylinder x = (1/z)^z has a unique shape defined by its generator curve, a directrix line at x = 1, and rulings connecting the generator curve to the directrix.

The cylinder x = (1/z)^z represents a cylindrical surface in three-dimensional space. The generator of the cylinder is obtained by fixing the x-coordinate and allowing z to vary. By doing so, we generate a curve that lies on the surface of the cylinder. This curve is known as the generator.

The directrix of the cylinder is the line x = 1. It acts as a reference line parallel to the z-axis and helps determine the position of the ruling lines. The rulings of the cylinder are straight lines that connect corresponding points on the generator curve to the directrix. These lines create a grid-like pattern that extends across the surface of the cylinder.

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Answer:

2 3/8

Step-by-step explanation:

First get the LCM (Least Common Multiple) for the denominators so we can subtract them.  The denominators would both be 8 because it is the lowest number that they can have to be able to subtract.  (The LCM).  So is 4 3/4 has a denominator of 8 it'll become:

4 3/4= 4 6/8 because if 4 turned into 8, that means it multiplied by 2.  So, you need to multiply 3 by 2 as well which equals 6.  This is it as a ratio:

3:4 into x:8    

So 4 times 2, which means you need to do 3 times 2 as well.  It equals 6.

So now that we know 4 3/4 is 4 6/8, it is time to subtract.  2 3/8 already has a denominator of 8 so we don't need to do anything with that.  Subtract.

4 6/8-2 3/8= 2 3/8.  4-2=2, so the whole number is 2.  6-3= 3, so the numerator (the top number) is 3.  The denominator (the bottom number) always stays the same so it is the same, which is 8.

The arc length of the polar curve r=9sinθ, 0≤θ≤π3 is 3π.

The formula for the arc length for a polar curve r = f(θ) is given by:

L = ∫_a^b √[r^2 + (dr/dθ)^2] dθ

In this case, we have r = 9sinθ, 0≤θ≤π3, so dr/dθ = 9cosθ. Thus, we can plug these expressions into the formula to get:

L = ∫_0^π/3 √[r^2 + (dr/dθ)^2] dθ

L = ∫_0^π/3 √[(9sinθ)^2 + (9cosθ)^2] dθ

L = 9 ∫_0^π/3 √[sin^2θ + cos^2θ] dθ

L = 9 ∫_0^π/3 1 dθ

L = 9 [θ]_0^π/3

L = 3π

Therefore, the exact arc length of the polar curve r = 9sinθ, 0 ≤ θ ≤ π/3  is 3π.

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Answer:

The answer is Direct Relationship

one in which the value of one parameter tends to decrease as the value of the other parameter in the relationship increases. An indirect relationship is a relationship between two variables which affect each other an association between two variables such that they rise and fall in value together.A negative correlation is a relationship between two variables such that as the value of one variable increases, the other decreases

The probability of winning is 30/59.

What is a probability simple definition?

A probability is a number that expresses the possibility or likelihood that a specific event will take place.

                 Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

probability = wanted outcomes / total outcomes

odds = wanted outcomes / unwanted outcomes

odds of 29/30 losing means 29 losing outcomes and 30 winning outcomes.

The total outcomes is 59

The probability of losing is 29/30. Yet we want the probability of winning.

Provability of winning is 1 - probability of losing.

1 - 29/59 = 30/59

The probability of winning is 30/59.

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The area of the figure  is option (C) 61.12 in².

The area of a triangIe is the region encIosed within the sides of the triangIe. The area of a triangIe varies from one triangIe to another depending on the Iength of the sides and the internaI angIes. The area of a triangIe is expressed in square units, Iike, m2, cm2, in2, and so on.

The area of a circIe is the amount of space encIosed within the boundary of a circIe. The region within the boundary of the circIe is the area occupied by the circIe. It may aIso be referred to as the totaI number of square units inside that circIe. Area of CircIe = πr2 or πd2/4 in square units, where

(Pi) π = 22/7 or 3.14.

r = radius of the circIe

d = diameter of the circIe

Pi (π) is the ratio of circumference to diameter of any circIe. It is a speciaI mathematicaI constant.

Area of triangIe = ½ x B x H

Given Height = 8 in

Given Breath = 9 in

Area of TriangIe = ½ x 8 x 9 = 36 in²

Area of haIf circIe = ½ (pi x r²)

= ½ (3.14 x 16)

= (½ x 50.24) in²

= 25.12 in²

Area of the figure wiII be 36 in² + 25.12 in² = 61.12 in²

Option C wiII be the correct option.

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The area of the figure will be 36 in² + 25.12 in² = 61.12 in². Option C will be the correct option.

What is the Area of CircIe?

The area of a circIe is the amount of space enclosed within the boundary of a circIe. The region within the boundary of the circIe is the area occupied by the circIe. It may aIso be referred to as the total number of square units inside that circle.

Area of CircIe = πr2 or πd2/4 in square units, where

(Pi) π = 22/7 or 3.14.

r = radius of the circIe

d = diameter of the circIe

Pi (π) is the ratio of circumference to diameter of any circIe. It is a speciaI mathematicaI constant.

Area of triangle = ½ x B x H

Given Height = 8 in

Given Breath = 9 in

Area of TriangIe = ½ x 8 x 9 = 36 in²

Area of haIf circIe = ½ (pi x r²)

= ½ (3.14 x 16)

= (½ x 50.24) in²

= 25.12 in²

Therefore, Area of the figure will be 36 in² + 25.12 in² = 61.12 in²

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Answer:

882 cubic ft.

Step-by-step explanation:

10.5 x 10.5 = 110.25

110.25 x 8 = 882 ft

Answer:

the volume of a room = 882 ft³

Step-by-step explanation:

given;

dimensions  of a room 10 1/2 ft. x 10 1/2 ft. x 8 ft.

find:

volume

volume = L x W x H

let L = 10 1/2 ft.

W = 10 1/2 ft.

H = 8 ft.

plugin values into the formula:

V = 10.5 x 10.5 x 8

V = 882 ft³

therefore,

the volume of a room = 882 ft³

a. The probability of success (hitting the target) is constant for each trial (88% or 0.88).

b. The probability of hitting the 6th target is:

P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88

c. Using the binomial probability formula as before, with p = 0.88 and n = 3:

P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)

P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)

P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)

a) The three characteristics of this scenario that indicate we are working with Bernoulli trials are:

The experiment consists of a fixed number of trials (eight shots).

Each trial (shot) has two possible outcomes: hitting the target or missing the target.

The probability of success (hitting the target) is constant for each trial (88% or 0.88).

b) To find the probability of hitting the 6th target (considered as a single trial), we can use the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

where:

P(X = k) is the probability of getting exactly k successes,

C(n, k) is the binomial coefficient or number of ways to choose k successes out of n trials,

p is the probability of success in a single trial, and

n is the total number of trials.

In this case, k = 1 (hitting the target once), p = 0.88, and n = 1. Therefore, the probability of hitting the 6th target is:

P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88

c) To find the probability that the first time hitting the target is not until the 4th shot, we need to consider the complementary event. The complementary event is hitting the target before the 4th shot.

P(not hitting until the 4th shot) = P(hitting on the 4th shot or later) = 1 - P(hitting on or before the 3rd shot)

The probability of hitting on or before the 3rd shot is the sum of the probabilities of hitting on the 1st, 2nd, and 3rd shots:

P(hitting on or before the 3rd shot) = P(X ≤ 3) = P(X = 1) + P(X = 2) + P(X = 3)

Using the binomial probability formula as before, with p = 0.88 and n = 3:

P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)

P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)

P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)

Calculate these probabilities and sum them up to find P(hitting on or before the 3rd shot), and then subtract from 1 to find the desired probability.

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The correct way to measure the zone of inhibition is to place a known amount of an antimicrobial agent on a solid medium.

Area is a quantity that measures the size of a two-dimensional surface or shape. It is expressed in square units such as square centimetres (cm2), square metres (m2) or square kilometres (km2). Area is used to describe the size of a garden, a house, a room, a city and much more. It can also be used to calculate the amount of material required for a project, such as paint, carpet or tiles. Knowing the area of a shape can help to calculate costs, and to make sure that enough materials are ordered.

The zone of inhibition is then measured as the area surrounding the antimicrobial agent where microbial growth has been inhibited. This area is typically measured in millimeters. To accurately measure the zone of inhibition, it is important to ensure that the size of the inoculum and the amount of antimicrobial agent used remain constant. Additionally, it is important to consider the type of organism being studied, as different organisms can have different levels of susceptibility to the antimicrobial agent. Finally, the medium used should be appropriate for the organism being studied, as different media can produce different results.

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Answer:

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

The slope is the change in the y direction over the change in the x direction

6/12

1/2

Answer:

Step-by-step explanation:

Slope is the ratio of the vertical change with respect to the horizontal change. In other words, you want to find the ratio of the change in y over the change in x. So, start by finding the change in y? What is it? Then find the change in x. What is it? Now, make a ratio of the two quantities. Change in y must be at the numerator, while the change in x must be at the denominator. What did you get? Let me know. ~Lendy

Answer:

33%

Step-by-step explanation:

16 is one third of 48

Answer: C; 150

Step-by-step explanation:

The change between a number and the previous number is 150. For example, 750-600 is 150 and 900-750 is 150. 600+150 is 750, and 750+150 = 900.

The given expression is a rational function involving a polynomial numerator and denominator. It can be simplified by factoring the numerator and denominator and canceling out common factors.

To simplify the given expression, we start by factoring the numerator and denominator. The numerator is already factored as s² - 4s, and the denominator can be factored as (s + 5)(s - 5). Now we have the expression:

L-1 s + 1 (s² - 4s) (s + 5)

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

                           5(s - 5)

Next, we can cancel out the common factors between the numerator and denominator. In this case, we can cancel out the factor of (s - 5), which appears in both the numerator and denominator. After canceling, the expression becomes:

L-1 s + 1 (s² - 4s)

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

                 5

Now the expression is in its simplified form. It is important to note that the resulting expression may have certain restrictions or domain limitations, such as values of s that make the denominator equal to zero. These restrictions should be considered when interpreting or solving further problems involving this expression.

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Answer:

42 Eggs

Step-by-step explanation:

6×7=42

6 eggs every day for 7 days, gives us 42 eggs at the end of the week

Hope this Helps!

Answer:

n = 10

Step-by-step explanation:

(10 * 3) + 7 = 37

Answer: 6

Step-by-step explanation:

With these type of problems, it is best to work backwards.

1. Because of the seven more, you subtract 7 from 25. This gives you 18.

2. Then it says three times, this means to divide by 3. 18/3 is 6

3. Your final answer is 6

Proving the answer is 6:

1.   3 \(*\\\) 6 = 18

2. 18 + 7 = 25

Answer:

:

Example Question #1:

Step-by-step explanation:

Which of the following is the equation of a line that is parallel to the line 4x – y = 22 and passes through the origin?

Possible Answers:

4x – y = 0

(1/4)x + y = 0

4x + 8y = 0

4x = 8y

y – 4x = 22

Correct answer:

4x – y = 0

Explanation:

We start by rearranging the equation into the form y = mx + b (where m is the slope and b is the y intercept); y = 4x – 22

Now we know the slope is 4 and so the equation we are looking for must have the m = 4 because the lines are parallel. We are also told that the equation must pass through the origin; this means that b = 0.

In 4x – y = 0 we can rearrange to get y = 4x. This fulfills both requirements.

', .

Answer:

420

Step-by-step explanation:

if we add 30 to each of the length of speech, we get 420 seconds

Answer:

she should add 2 cups of water.

Step-by-step explanation:

2 : 1 = 4 : 2

After using the triangle inequality theorem, the possible values of the unknown side of the triangle is 15 < n < 25.

In this case, we are given that:

The lengths of the sides of a triangle are 20, 5, and n centimeters.

The theorem of triangle inequality stated that the lengths of any two of a triangle's sides added together must be bigger than the length of the third side. Given two sides, x and y, we can use the triangle inequality theorem to predict that the length of the third side will be between x + y and x - y.

Therefore,

x - y < n < x + y

20 - 5 < n < 20 + 5

15 < n < 25

As the result, the possible value of the unknow side of the triangle would be 15 < n < 25.

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The dog house's dimensions in the drawing are smaller than those of the actual drawing.

A variable in a ratio of two separate measurements is defined by the scale factor.

There are occasions when drawings of huge models are displayed at a scale factor that is smaller.

The sole point that remains constant during a dilation is its center, which is a fixed point in the plane around which all other points expand or shrink.

So, in this instance, point D is the dilation's center.

Hence, The dog house's dimensions in the drawing are smaller than those of the actual drawing.

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a) Rocky Mountain should order 200 tires each time it places an order.

b) The total cost of this policy is $17,160.

a) To determine how many tires Rocky Mountain should order each time, we need to consider the different price levels and find the point where it is most cost-effective to order. Let's analyze the three price levels:

If fewer than 200 tires are ordered: The purchase price is $25 per tire.

If 200 or more, but fewer than 8,000 tires are ordered: The purchase price is $17 per tire.

If 8,000 or more tires are ordered: The purchase price is $13 per tire.

Since the ordering cost is $35 per order, it is most cost-effective to order the maximum quantity that falls within the second price level, which is 200 tires.

b) To calculate the total cost of this policy, we need to consider the ordering cost and the holding cost. The holding cost is 40% of the purchase price per tire per year. Let's calculate the total cost:

Total holding cost = (Purchase price per tire * Quantity ordered * Holding cost rate) / 2 = (($17 * 10,000 * 0.4) / 2) + (($13 * 2,000 * 0.4) / 2) = $34,000 + $5,200 = $39,200

Total cost = Total ordering cost + Total holding cost = (Ordering cost per order * Number of orders) + Total holding cost = ($35 * (10,000 / 200)) + $39,200 = $1,750 + $39,200 = $40,950

Therefore, the total cost of this policy is $40,950.

Rocky Mountain Tire Center should order 200 tires each time it places an order, resulting in a total cost of $40,950 for this policy. This ordering quantity and cost analysis allows Rocky Mountain to make efficient and cost-effective decisions in managing their inventory.

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Answer:

SAS.. Can I have brainliest?

Step-by-step explanation:

\(heres \: the \: answer \: i \: hope \: it \: help\)

(a) The function f(x, y) does not have a limit at (0,0). (b) No information is provided to determine the limit for f2(x, y).

(a) For the function f(x, y) = 5ry²/(3x² + y²), we can analyze the behavior as (x, y) approaches (0,0). Since the denominator 3x² + y² becomes zero as (x, y) approaches (0,0), we cannot directly evaluate the function at this point. However, by considering the parabola z = -y², we can observe that the function does not approach a specific value and thus does not have a limit at (0,0).

(b) The function f2(x, y) = Vel + Vsin(y) is not well-defined as no information or context is provided for the variables Vel, V, and U. Without this information, it is not possible to determine the limit of the function at (0,0) or any other point.

Therefore, for (a), the function f(x, y) does not have a limit at (0,0), and for (b), no information is given to determine the limit for f2(x, y).

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