Answer:
x = 1
Step-by-step explanation:
1 - 5 = -4
Answer:
x = 1
Step-by-step explanation:
x - 5 = -4 *add 5 to both sides*
x = 1
hope this helps!
-2 2 the second power
the primary condition for which a patient is receiving care is communicated to the third-party payer through a(n) __________ code on the healthcare claim
The primary condition for which a patient is receiving care is communicated to the third-party payer through a diagnosis code on the healthcare claim.
The diagnosis code is a standardized code that represents the patient's medical condition or illness as determined by the healthcare provider. These codes are typically based on the International Classification of Diseases (ICD) coding system, which is used worldwide for reporting diagnoses and medical procedures.
By including the appropriate diagnosis code on the healthcare claim, healthcare providers can communicate to third-party payers the reason for the services or procedures provided. This information is essential for processing and reimbursing healthcare claims accurately and efficiently.
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The primary condition for which a patient is receiving care is communicated to the third-party payer through a(n) ICD (International Classification of Diseases) code on the healthcare claim.
The ICD code serves as a standardized system for classifying diseases and health conditions, enabling clear
communication between healthcare providers and third-party payers.
The primary condition for which a patient is receiving care is communicated to the third-party payer through a
diagnosis code on the healthcare claim. Diagnosis codes, also known as ICD codes (International Classification of
Diseases codes), are standardized codes that represent the specific medical condition or disease being treated by the
healthcare provider.
These codes are used to ensure accurate and timely payment for services rendered and to track healthcare utilization
and outcomes.
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at the tesla automotive factory, a model s sedan is built using 4 tires, a main chassis, and 5 lithium-ion batteries. how many sedans can be made if there are 17 tires, 5 chassis, and 22 batteries?
The number of cars which can be made by using 4 tires, a main chassis, and 5 lithium-ion batteries are 4.
Using hit and trial method :
→ assuming tires as limiting substance
4 tires → 1 car
17 tires → 17/4 ×1 car
= 4.25 cars {reducing it to greatest integer value}
→ Assuming chassis as limiting theorem:
1 chassis → 1 car
5 chassis → 5 cars
→ Assuming batteries as limiting theorem substance:
5 batteries → 1 car
22 batteries → 22/5 × 1 car
= 4.4 → 4 cars
Therefore, 4 cars can be made by the given substance.
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Reflect the triangle over the y-axis and find the coordinate of the image of point K.
K’(2, 1)
K’(–2, 1)
K’(–2, –1)
K’(2, –1)
K'(-2, 1) is the coordinate of the image of point K, found by multiplying the original x-coordinate of the point K (2) by -1. To reflect the triangle over the y-axis, the x-coordinate of each point is multiplied by -1.
What is triangle?Triangle is a three-sided geometric shape which has three angles and three sides. The three sides of a triangle are typically referred to as the base, the height, and the hypotenuse. A triangle can be classified as either right, obtuse, or acute depending on the measure of its angles. Right triangles have one right angle, obtuse triangles have one obtuse angle, and acute triangles have three acute angles.
The coordinate of the image of point K is K’(-2, 1). This means that the x-coordinate of the point is -2 and the y-coordinate of the point is 1. This can be found by multiplying the original x-coordinate of the point K (2) by -1. The y-coordinate of point K remains the same, so the y-coordinate of the image of point K is 1.
Therefore, the coordinate of the image of point K is K’(-2, 1).
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find the change of coordinates matrix that changes the coordinates in the basis 1, 1 t in p 1 to the coordinates in the basis 1 − t, 2t.
To find the change of coordinates matrix, we need to express the basis vectors of the new coordinate system (1 − t, 2t) in terms of the basis vectors of the original coordinate system (1, 1). Let's call the change of coordinates matrix C.
The first column of C represents the coordinates of the first basis vector (1, 1) in the new basis (1 − t, 2t). To express (1, 1) in the new basis, we need to solve the equation:
(1, 1) = C * (1 − t, 2t)
Expanding this equation, we get:
1 = C(1 − t)
1 = 2Ct
Solving these equations gives us C = [1/(1−t), 1/2].
Therefore, the change of coordinates matrix that transforms coordinates in the basis (1, 1) to the coordinates in the basis (1 − t, 2t) is:
C = [1/(1−t), 1/2].
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Helpppppp pleaseeee thank you
Ruby is designing a new board game, and is trying to figure out all the
possible outcomes. How many different possible outcomes are there if
she flips a coin, rolls a fair die in the shape of a cube that has six sides
labeled 1 to 6, and spins a spinner with three equal-sized sections
labeled Walk, Run, Stop?
Answer:
Submit Answer
attempt 1 out of 2
The maximum possible outcome for the situation is 36.
What is Probability?The number of favorable events to all the events in an experiment is the ratio that makes up the probability formula. Theoretical probability, Experimental probability, and Axiomatic probability are the three categories into which probability can be divided.
We have been Given that Ruby is designing a new board game and is trying to figure out all the possible outcomes.
Ruby flips a coin, rolls a fair die in the shape of a cube that has six sides labeled 1 to 6, and spins a spinner with three equal-sized sections labeled Walk, Run, Stop.
we know that there are 3 things happening simultaneously and favorable moments will be chosen by all three.
Thus, Maximum possible outcome are;
2 x 6 x 3 = 36
Therefore, For the given, 36 outcomes are available in total.
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Listen, read the question, and choose the option with the correct answer.
Based on the audio, ¿qué es más « more » barato?
The table
The rug
The napkins
The pillow
Answer:
the table
Step-by-step explanation:
i know spanish
On the basis of the given audio, the cheapest item amongst the given options would be:
c) The Napkins
As per the description provided in the given audio, the item that carries the lowest value would be napkins. The reason behind this is that one can purchase a pack of napkins at a smaller value while the other items like a pillow, table, or rug, are comparatively higher.This leads the napkin to be the cheapest among the given options.Thus, option c is the correct answer.
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z = 16ab
solve for a
Answer:
a=z/16b
Step-by-step explanation:
move it over a=z/16b hope this helps :D
270 π /3
Convert each degree measure into radians or radians to degrees
Which of these relations is a function?
X
y
9
10
-18
2
2
4
-12
2
20
3
y
17
19
-2
20
6
-10
X
1
-10
y
18
17
12
14
1
16
х
15
8
y
-8
5
17
0
-13
15
Answer:
I think the answer is 2 4
Step-by-step explanation:
Table {1} and table {2} represent the relations that are functions.
What is function? What is modulus function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
We can define the modulus function as -
|x| = - x {x < 0}
|x| = x {x > 0}
Given is to identify which of the relations are functions.
For a relation to be a function, it should have unique value of {y} for a unique value of {x}. One value of {x} cannot have more than one values at the same time. We can see in the image attached that only table 1 and 2 represent such relations. So, we can conclude that relation {1} and {2} represent the functions.
Therefore, table {1} and table {2} represent the relations that are functions.
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Solve the simultaneous equation.
The value of a = -2 and b = 3.
What is a system of equations?
A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.
Here, we have
Given: 3a - 5b = -26, a + 2b = 6
We have to solve this equation.
3a - 5b = -26...(1)
a + 2b = 6...(2)
Now we multiply equation (1) by 2 and equation (2) by 5 and we get
6a - 10b = -52....(3)
5a + 10b = 30....(4)
After solving equations (3) and (4), we get
11a = -22
a = -2
Now we put the value of 'a' in equation(3) and we get
6(-2) - 10b = -52
-10b = -52 + 12
-10b = -30
b = 3
Hence, the value of a = -2 and b = 3.
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2 + ( - 6 1/2 ) = what is the sum
Answer:
-4 1/2
Step-by-step explanation:
\(2 +(-6\frac{1}{2})\) \(2 - 6\frac{1}{2}\) \(2 - \frac{13}{2}\) \(\frac{2}{1}= \frac{4}{2}\) \(\frac{4}{2} - \frac{13}{2}\) \(-\frac{9}{2}\) \(-4\frac{1}{2}\)What is the slope of a line perpendicular to the line whose equation is 6x-10y=140. Fully simplify your answer.
y=14
10y=140
Divide both sides by 10.
y=
10
140
Divide 140 by 10 to get 14.
y=14
The slope of a line perpendicular is -5/3 to the line whose equation is 6x-10y = 140.
What is the slope of the line?The slope of a line is defined as the inclination of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Make the following equation in slope-intercept form:
y = mx + b
where m denotes the slope and (0,b) denotes the y-intercept (the point at which x = 0).
The given equation is:
6x - 10y = 140
-10y = - 6x + 140
Divided by -10 into both sides of the equation,
y = (6/10)x + 140/(-10)
y = (3/5)x -14
Here m = 3/5, b is (0,14)
The slope of this line is 3/5.
The slope of all of its perpendicular lines is (-1/m), which is the negative reciprocal of slope m.
Therefore, the slope of all perpendicular lines is (-5/3).
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what are the zeros of the function graph the function. y=x(x 2)(x 5)
the zeros of the function are x = 0, x = -5.
The given function is y = x(x²)(x + 5).
To find the zeros of this function, we need to set y equal to zero and solve for x.
So, y = 0x(x²)(x + 5) ⇒ 0 = x(x²)(x + 5)
We can see that the left side is zero. So, either x or (x²)(x + 5) is zero.
Thus, the zeros of the function are: x = 0, x² = 0
⇒ x = 0, x + 5 = 0
⇒ x = -5
Therefore, the zeros of the function are x = 0, x = -5.
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Create a different area model similar to #4 but using (x + 4)^2 as your base square with a shaded region that is made of 24 unit tiles
We are asked to create a different area model similar to the one in question 4. In this case, we will use (x + 4)^2 as the base square and shade a region that is made of 24 unit tiles.
To create the area model, we can follow these steps:
Start with a square base: Draw a square with side length (x + 4) units to represent the base square.
Divide the base square into unit squares: Divide the base square into smaller unit squares by drawing grid lines horizontally and vertically.
Shade the region with 24 unit tiles: Shade a region within the base square that consists of exactly 24 unit tiles. The shape of the shaded region can vary as long as it fits within the base square.
Count the number of shaded unit tiles: Count the number of unit tiles within the shaded region. In this case, the shaded region should consist of exactly 24 unit tiles. Therefore, by following these steps, you can create a different area model using (x + 4)^2 as the base square with a shaded region made of 24 unit tiles.
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A lione ha 4 cub that weigh 1. 7 kg, 2. 1 kg, 3 kg, and 2. 7 kg. Each cub eat 1. 25 kg of food a day. How much food will be needed to feed all the cub for one year?
The food will be needed to feed all the cub for one year is 1825 kg.
Given :
A lion ha 4 cubs that weigh 1. 7 kg, 2. 1 kg, 3 kg, and 2. 7 kg. Each cub eat 1. 25 kg of food a day.
one cub eats food = 1.25 kg
4 cubs eats food = 1.25 kg * 4
= 125 / 100 * 4 kg
= 500 / 100 kg
= 5 kg
5 kg for one day.
cub eats food for one year = 365 * 5 kg
= 1825 kg.
Therefore the food will be needed to feed all the cub for one year is 1825 kg.
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How many subsets are there in {1, 2, 3, 4, 5, 6}?
Explanation:
If there are n = 6 items in the set, then there are 2^n = 2^6 = 64 subsets
This is because there are 2 choices per slot. Either the item is in the subset or not. Since we have 6 slots, and 2 choices per slot, we have (2*2*2)*(2*2*2) = 2^6 = 64 different combos.
Side note: The empty set is included as one of the subsets. Also, the original set itself is a subset.
Answer:
64
Step-by-step explanation:
For a set with n elements, there are 2n subsets.
In this case, # of subsets =26=64
∅,
{1},{2},{3},{4},{5},{6},
{1,2},{1,3},{1,4},{1,5},{1,6},{2,3},{2,4},{2,5},{2,6},{3,4},{3,5},{3,6},{4,5},{4,6},{5,6},
{1,2,3},{1,2,4},{1,2,5},{1,2,6},{1,3,4},{1,3,5},{1,3,6},{1,4,5},{1,4,6},{1,5,6},{2,3,4},{2,3,5},{2,3,6},{2,4,5},{2,4,6},{2,5,6},{3,4,5},{2,4,6},{3,5,6},{4,5,6},
{1,2,3,4},{1,2,3,5},{1,2,3,6},{1,2,4,5},{1,2,4,6},{1,2,5,6},{1,3,4,5},{1,3,4,6},{1,3,5,6},{1,4,5,6},{2,3,4,5},{2,3,4,6},{2,3,5,6},{2,4,5,6},{3,4,5,6},
{1,2,3,4,5},{1,2,3,4,6},{1,2,3,5,6},{1,2,4,5,6},{1,3,4,5,6},{2,3,4,5,6},
{1,2,3,4,5,6}
A large bakery produces cakes in an assembly line. Sergio noticed a potential defect that seems to be showing in
every other cake. He decides that in the next production run, he'll take a random sample of cakes to get a better
idea of how many cakes might have this defect.
Why might Sergio choose a simple random sample instead of a systematic random sample?
The system random sampling involves the introduction of a sampling interval during the sampling process. Hence, the use of a fixed interval is more likely to miss the potential defect noticed based on the sampling interval selected.
The systematic random sampling simply involves choosing a fixed sampling interval during the sampling process. A simple random sampling however selects a truly random sample from a population and this techniques provides the best sample which is representative of the population. Since a sampling interval is required for a systematic random sample, the sample obtained for different values of k, which is the sampling interval will differ leading to a potential risk of missing the target .Therefore, with simple random sampling, Sergio stands a better chance of capturing the defect better than using systematic random sampling
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Answer:
If the defect is in every other cake, a systematic random sample could miss it completely depending on what Sergio chooses for kkk.
Step-by-step explanation:
got right on kahn
The domain of the function f(x) = √-x² + 9x 14 consists of one or more of the following intervals: (-[infinity], A], [A, B] and [B, [infinity]) where A < B. Find A ____
Find B ____
For each interval, answer YES or NO to whether the interval is included in the solution.
(-[infinity], A] ____
[A, B] ____
[B, [infinity]) ____
So, we need to find A and B that divide (-∞, 2)U(7, ∞) into three intervals
Given that the function is
\(f(x) = √-x² + 9x 14\)
The domain of a function is the set of all the possible values of x for which the function is defined, thus exists.
Denominator of the function is
\((-x²+9x-14)=-(x²-9x+14)=-(x-2)(x-7)\)
Thus, the domain of f(x) is the set of all real numbers except for the values of x which make the denominator zero.
So, the domain of the function is (-∞, 2)U(7, ∞).
Therefore, the domain consists of two intervals and we are given three intervals.
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let f be the function that satisfies the given differential equation (dy/dx = xy/2). write an equation for the tangent line to the curve y = f(x) through the point (1,1). then use your tangent line equation to estimate the value of f(1.2).
Our estimate for f(1.2) is 1.1 which satisfies differential equation.
To find the equation of the tangent line to the curve y = f(x) through the point (1,1), we first need to find the value of f(1) at x = 1. To do this, we can solve the differential equation given:
\(dy/dx = xy/2\)
Separating the variables, we get:
\(dy/y = x/2 dx\)
Integrating both sides, we get:
\(ln|y| = x^2/4 + C\)
Where C is the constant of integration. To find the value of C, we can use the initial condition that f(1) = 1:
ln|1| = 1/4 + C
C = -1/4
So our equation for f(x) is:
\(ln|y| = x^2/4 - 1/4\)
Simplifying, we get:
\(y = e^(x^2/4 - 1/4)\)
To find the equation of the tangent line through the point (1,1), we need to find the slope of the tangent line at x = 1. To do this, we take the derivative of f(x) and evaluate it at x = 1:
\(f'(x) = (1/2)x e^(x^2/4 - 1/4)f'(1) = (1/2)(1) e^(1/4 - 1/4) = 1/2\)
So the slope of the tangent line at x = 1 is 1/2. Using the point-slope form of a line, we get:
\(y - 1 = 1/2(x - 1)\)
Simplifying, we get:
y = 1/2 x + 1/2
To estimate the value of f(1.2), we can use our tangent line equation. Plugging in x = 1.2, we get:
\(y = 1/2(1.2) + 1/2 = 1.1\)
So our estimate for f(1.2) is 1.1.
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4/9 +5/6 please answer
Answer: 5/18
Step-by-step explanation:
Answer:
Step-by-step explanation:
1 1/18 use a fraction calculator
Farmer Jones and Farmer Smith graze their cattle on the same field. If there are 20 cows grazing in the field each cow produces $4000 of milk. If there are more cows in the field, then each cow produces can eat less grass and the milk production falls. With 30 cows on the field each produces $3000 of milk, with 40 cows each produces $2000 of milk . Cows cost $1000 a piece. Assume that Farmer Jones and farmer Smith can buy either 10 cows or 20 cows, find out the Dominant Strategy of Farmer Jones and express the same in formal language. I want to see all the steps.
The dominant strategy of Farmer Jones is to buy 10 cows.
To determine the dominant strategy of Farmer Jones, we need to compare the outcomes of his two options:
buying either 10 cows or 20 cows.
Let's analyze the potential outcomes for each case:
Buying 10 cows:
If Farmer Smith buys 10 cows:
The total number of cows in the field would be 30, resulting in each cow producing $3000 of milk.
If Farmer Smith buys 20 cows:
The total number of cows in the field would be 40, causing each cow to produce $2000 of milk.
Buying 20 cows:
If Farmer Smith buys 10 cows:
The total number of cows in the field would be 40, causing each cow to produce $2000 of milk.
If Farmer Smith buys 20 cows:
The total number of cows in the field would be 50, resulting in each cow producing less than $2000 of milk (exact value unknown).
From the given information, we can observe that regardless of the strategy chosen by Farmer Smith, Farmer Jones is better off buying 10 cows.
In all scenarios, the milk production per cow is higher when Farmer Jones buys 10 cows compared to buying 20 cows.
Therefore, the dominant strategy for Farmer Jones is to buy 10 cows.
Formally, we can express this as follows:
For Farmer Jones, no matter the strategy chosen by Farmer Smith, buying 10 cows yields a higher milk production per cow compared to buying 20 cows.
Hence, Farmer Jones' dominant strategy is to buy 10 cows.
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A certain rectangular tarp covers 200 square meters. Its width is 20
meters. How long is the tarp?
Answer:
10 meters
Step-by-step explanation:
You want the length of a 200 square meter tarp that has a width of 20 meters.
AreaThe area of a rectangle is given by ...
A = LW
ApplicationFilling in known values, we have ...
200 m² = L · (20 m)
L = (200 m²)/(20 m) = 10 m . . . . . . . divide by the coefficient of L
The tarp is 10 meters long.
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Given f of x is equal to the quantity x minus 4 end quantity divided by the quantity x squared plus 13x plus 36 end quantity, which of the following is true?
f(x) is decreasing for all x > –9
f(x) is increasing for all x < –9
f(x) is increasing for all x > –4
f(x) is decreasing for all x > –4
The simplified expression of the function \(f(x) =\dfrac{x-4}{x^2+13x+36}\) is
\(f(x) = \dfrac{x-4}{(x+9)(x+4)}\). f(x) is increasing for all x > –4.The correct answer is option C.
What is a function?A function is defined as a relation between the set of inputs having exactly one output each.
The function expression is given as:
\(f(x) =\dfrac{x-4}{x^2+13x+36}\)
Expand the denominator
\(f(x) =\dfrac{x-4}{x^2+4x +9x+36}\)
Factorize the denominator
\(f(x) =\dfrac{x-4}{x(x+4)+9(x+4)}\)
Factor out x + 9
\(f(x) = \dfrac{x-4}{(x+9)(x+4)}\)
The simplified expression of the function \(f(x) =\dfrac{x-4}{x^2+13x+36}\) is
\(f(x) = \dfrac{x-4}{(x+9)(x+4)}\). f(x) is increasing for all x > –4
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Answer:
f(x) is increasing for all x > –4
Step-by-step explanation:
I got it right on the test.
What is the value of letter D on the number line? (2 points) A number line partitioned into tenths, starting at zero and ending at five. There are nine tick marks between each whole. There is a dot labeled A between the fifth and sixth tick mark after zero. A dot labeled B is between the eighth and ninth tick mark after one. A dot labeled C is between the fourth and fifth tick mark after 2. A dot labeled D is between the second and third tick mark after 3. A dot labeled E is between the seventh and eighth tick mark after three. A dot labeled F is between the fifth and sixth tick mark after four. a Three and seventy-five hundredths b Three and two tenths c Three and twenty-five hundredths d Three and three tenths
Thus, the value of letter D on the number line is three and twenty-five hundredths or 3.25.
The value of letter D on the number line is three and twenty-five hundredths, or 3.25.
To determine this, we need to count the tick marks from zero to three and then add the distance from the third tick mark to the dot labeled D.
Since there are nine tick marks between each whole number, we can count 27 tick marks from zero to three. The dot labeled D is between the second and third tick mark after 3, so we need to divide the distance between those tick marks into 10 equal parts to determine the value of the dot. Since there are 10 tick marks between each whole number, the distance between the second and third tick mark after 3 is 0.1. We can see that the dot labeled D is a quarter of the way between those tick marks, so we need to add 0.025 to 3 to get the value of D. Therefore, the value of letter D on the number line is three and twenty-five hundredths or 3.25.Know more about the number line
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9. paige buys chips, crackers, and tubs of dip for a birthday party. she buys 3 more bags of chips than crackers and twice as many boxes of crackers as tubs of dip. in total she buys 23 items
Paige buys 11 bags of chips, 8 boxes of crackers, and 4 tubs of dip for the party.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
Let's use variables to represent the number of bags of chips, boxes of crackers, and tubs of dip that Paige buys. We can call them "c" for chips, "k" for crackers, and "d" for dip.
From the problem, we know that:
Paige buys 3 more bags of chips than crackers, so c = k + 3.
Paige buys twice as many boxes of crackers as tubs of dip, so k = 2d.
In total, she buys 23 items, so c + k + d = 23.
Now we can use substitution to solve for one variable in terms of the others. We can substitute k = 2d from the second equation into the first equation to get:
c = k + 3
c = 2d + 3
We can substitute this expression for c into the third equation to get:
c + k + d = 23
(2d + 3) + 2d + d = 23
5d + 3 = 23
5d = 20
d = 4
Now we can use this value of d to find the values of c and k:
k = 2d = 2(4) = 8m
c = k + 3 = 8 + 3 = 11
Therefore, Paige buys 11 bags of chips, 8 boxes of crackers, and 4 tubs of dip for the party.
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is a fraction a term? If it's not a term, why is it that we can apply the distributive property to it? the distributive property only works for either terms, or addition and subtraction. a fraction is technically division, so why does it work? Please help!!!!!
No, a fraction is not a term. The distributive property can be applied to fractions because it is a general mathematical principle.
A fraction is not considered a term in the traditional sense. It is a mathematical expression that represents division. However, the distributive property can still be applied to fractions because the property itself is a fundamental rule of arithmetic that extends beyond specific types of expressions.
The distributive property states that for any real numbers a, b, and c:
a × (b + c) = (a × b) + (a × c).
When working with fractions, we can apply the distributive property as follows:
Let's consider the expression: a × (b/c).
We can rewrite this as: (a × b)/c.
Now, let's distribute the 'a' to 'b' and 'c':
(a × b)/c = (a/c) × b.
In this step, we applied the distributive property to the fraction (a/c) by treating it as a whole.
Although fractions represent division, we can still use the distributive property because it is a general mathematical principle that allows for manipulating expressions involving addition, subtraction, multiplication, and division.
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a can of soda is placed inside a cooler. as the soda cools, its temperature in degrees celsius is given by the following function, where is the number of minutes since the can was placed in the cooler. find the temperature of the soda after minutes and after minutes. round your answers to the nearest degree as necessary.
The temperature of the soda after 20 minutes is approximately -18 degrees Celsius. To find the initial temperature of the soda, we can evaluate the function T(x) at x = 0.
Substitute x = 0 into the function T(x):
T(0) = -19 + 39e^(-0.45*0).
Simplify the expression:
T(0) = -19 + 39e^0.
Since e^0 equals 1, the expression simplifies to:
T(0) = -19 + 39.
Calculate the sum:
T(0) = 20.
Therefore, the initial temperature of the soda is 20 degrees Celsius.
To find the temperature of the soda after 20 minutes, we substitute x = 20 into the function T(x):
Substitute x = 20 into the function T(x):
T(20) = -19 + 39e^(-0.45*20).
Simplify the expression:
T(20) = -19 + 39e^(-9).
Use a calculator to evaluate the exponential term:
T(20) = -19 + 39 * 0.00012341.
Calculate the sum:
T(20) ≈ -19 + 0.00480599.
Round the answer to the nearest degree:
T(20) ≈ -19 + 1.
Therefore, the temperature of the soda after 20 minutes is approximately -18 degrees Celsius.
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INCOMPLETE QUESTION
A can of soda is placed inside a cooler. As the soda cools, its temperature Tx in degrees Celsius is given by the following function, where x is the number of minutes since the can was placed in the cooler. T(x)= -19 +39e-0.45x. Find the initial temperature of the soda and its temperature after 20 minutes. Round your answers to the nearest degree as necessary.
Rich is attending a 4-year college. As a freshman, he was approved for a 10-year, federal unsubsidized student loan in the amount of $7,300 at 4. 29%. He knows he has the option of beginning repayment of the loan in 4. 5 years. He also knows that during the nonpayment time, interest will accrue at 4. 29%.
a. How much interest will Rich accrue during the 4. 5 year nonpayment period?
b. What will be the new principal amount when Rich begins making payments?
a. Rich will accrue $1,181.18 in interest during the 4.5-year nonpayment period.
b. The new principal amount when Rich begins making payments will be approximately $8,481.18.
a. To calculate the interest accrued during the 4.5-year nonpayment period, we can use the formula:
Interest = Principal x Interest Rate x Time
The principal amount is $7,300, and the interest rate is 4.29% expressed as a decimal, which is 0.0429. The time is 4.5 years.
Interest = $7,300 x 0.0429 x 4.5
Interest = $1,181.18
Therefore, Rich will accrue approximately $1,181.18 in interest during the 4.5-year nonpayment period.
b. To determine the new principal amount when Rich begins making payments, we need to add the accrued interest to the original principal.
New Principal = Principal + Accrued Interest
New Principal = $7,300 + $1,181.18
New Principal = $8,481.18
Therefore, when Rich begins making payments, the new principal amount will be approximately $8,481.18.
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