What is the range of f(x) = 3* + 9?
O {yly<9}
O {yly>9}
O {yly> 3}
O {yly<3}

Answers

Answer 1

On solving the provided question, we can say that - the range [tex]|x + 1| = 0[/tex] [tex]x + 1 = 0 = > x = -1[/tex] and [tex]y = 3[/tex]

What is range?

Finding the variable's greatest observed value (maximum) and deducting the least observed value will yield the range (minimum). Limits of variation or potential range: a variety of steel costs; several styles; The size or scope of an action or operation: insight. how far a weapon's projectile can or will travel. The number in a list or set between the lowest and maximum is referred to as a range. Line up all the numbers before locating the region. After that, take away (get rid of) the lowest number from the greatest number. The solution provides the list's range.

The regions where the absolute values are zero are known as the vertex points of an absolute value function.

[tex]|x + 1| = 0\\x + 1 = 0\\x = -1[/tex]

[tex]y = |-1 + 1| + 3\\y= 0 + 3\\y = 3[/tex]

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Related Questions

-√8 - √54 + 2√6 how to simplify

Answers

Answer:

6√2

Step-by-step explanation:

-√2×2×2 -√2×3×3×3 + 2√3×3

-2√2 - 3✓6 + 2×3

-2√2 - 3√2×2 +2 + 6

6√2

Simplify the following expression: -16 -8/2 + 25 ÷ 5 + 1

A. -18
B. 6
C. 10
D. -6

Answers

D. -6


Calculate -16-8/2+25/5+1

-24/2+5+1

Determine the sign

-12+5+1=-6

A mixture of pecans walnuts, and cashews was in a ratio of 2:31. How much of each type of nut was in her purchase?

equation:
pecans:
walnuts:
cashews:

Answers

Answer:

The ratio given cannot be used to find the answer

Pls help me answer the question down in the image below

Answers

Using the concept of proportion to find the value of x in the similar triangle, x is equal to 6.67

What is Similar Triangle Theorem

Similar triangle theorem states that if two triangles have corresponding angles that are equal, then the sides of the triangles are proportional to each other. This theorem can be used to solve problems involving triangles, such as finding the lengths of missing sides.

We can use the concept of ratio to find the value of x.

12 / 5 = 16 / x

Cross multiply both sides and solve for x

12 × x = 16 × 5

12x = 80

x = 80 / 12

x = 6.67

The value of x is 6.67

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Lesson 17

Using the info given, solve for the missing value of the right triangle. Round each angle to the nearest degree, each length to the nearest tenth, & each trigonometric value to four decimal places, if necessary.
Hypotenuse = 14.5 meters
Opposite side = 6.3 meters
θ = ?

Answers

The measure of the angle (θ) is equivalent to sin⁻¹(6.3/14.5).

What is Pythagoras theorem?

The Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. Mathematically, it can be written as -

(hypotenuse)² = (base)² + (perpendicular)²

Given is a right angle triangle with hypotenuse as 14.5 meters and

opposite side as 6.3 meters.

We can write sine of the angle (θ) as -

sin(θ) = P/H

sin(θ) = Opposite side/Hypotenuse

sin(θ) = 6.3/14.5

(θ) = sin⁻¹(6.3/14.5)

Therefore, the measure of the angle (θ) is equivalent to sin⁻¹(6.3/14.5).

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Which scale of measurement most reasonably applies to Confidence in Science?

Answers

The scale of measurement most reasonably applies to Confidence in Science is ordinal.

What are scales of measurement?

The basic  four scales used in measurements are continuous, discreet, ordinal and nominal. The continuous measurement scale is used to take the values in between a permitted range. For example weight, height, sales, rate etc.

In discreet measurements only take the whole numbers within a permitted range. For example, count of people, number of objects etc. Ordinary, logically ordered categorical values. For example, the size of clothes,

Nominal measurements include not logically ordered categorical values. For example, nationality, language etc.  The scale of measurements most reasonably applies to Confidence in Science is ordinal.

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Find the sum or difference (I will give you brainlist :D)

Answers

Answer: 7k^2 -2k +12

Step-by-step explanation:
1. Get rid of the parentheses since you don't need them.
2. Combine like terms, 3k^2, 4k^2, 4k, and -6k. This should lead you to 7k^2 -2k +12


To find the sum or difference we must know what k is however you can simplify the expression by rewriting and removing the parenthesis furthermore collecting the like terms to get the solution.

Attached photo shows the steps to the solution :P

Triangle JKL has vertices J(6, -1), K(10,-2), and L(5, -3). Determine the
coordinates of the vertices of the image after a translation along (0,4)
and a reflection in the y-axis.

Answers

J''(-6, 3) , K''(-10, 2) , and L''(-5, 1) those exists the vertices after the transformations.

What is meant by coordinates of the vertices?

[tex](x_1,y_1), (x_2,y_2),[/tex] and [tex](x_3,y_3)[/tex] are the coordinates of a triangle's vertices [tex](x_3,y_3)[/tex]. The line connecting the first two is divided in the proportion l:k, and the line connecting this point of division to the opposing angular point is divided in the proportion m:k+l.

When you write coordinates as (x, y), it means to write the x-axis point first and then the y-axis point. Some kids might be instructed to remember this by saying "along the corridor, up the stairs," which means they should follow the x axis first and then the y axis.

First do the first transformation, the translation.

J (6, -1 + 4), K (10, -2 + 4), and L (5, -3 + 4).

After adding, we get J'(6, 3) , K'(10, 2) , and L'(5, 1).

We Utilize those new coordinates to do the reflection in the y axis.

J''(6(-1), 3) , K''(10(-1), 2) , and L''(5(-1), 1).

After multiplying, we get J''(-6, 3) , K''(-10, 2) , and L''(-5, 1).

Those exists the vertices after the transformations.

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J''(-6, 3) , K''(-10, 2) , and L''(-5, 1) those exists the vertices after the transformations.

What is meant by coordinates of the vertices?

[tex](x_{1}, y_{1}), (x_{2}, y_{2}) and (x_{3}, y_{3})[/tex]  are the coordinates of a triangle's vertices . The line connecting the first two is divided in the proportion l:k, and the line connecting this point of division to the opposing angular point is divided in the proportion m:k+l.

When you write coordinates as (x, y), it means to write the x-axis point first and then the y-axis point. Some kids might be instructed to remember this by saying "along the corridor, up the stairs," which means they should follow the x axis first and then the y axis.

First do the first transformation, the translation.

J (6, -1 + 4), K (10, -2 + 4), and L (5, -3 + 4).

After adding, we get J'(6, 3) , K'(10, 2) , and L'(5, 1).

We Utilize those new coordinates to do the reflection in the y axis.

J''(6(-1), 3) , K''(10(-1), 2) , and L''(5(-1), 1).

After multiplying, we get J''(-6, 3) , K''(-10, 2) , and L''(-5, 1).

Those exists the vertices after the transformations.

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Solve x^3 + x - 4 = 0, leaving your answers correct to 2 decimal places.

Answers

The solution to the equation x³ + x - 4 = 0 is x = 1.38

How to determine the solution to the equation

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

x^3 + x - 4 = 0

Express the exponents as proper superscript

So, we have the following representation

x³ + x - 4 = 0

Next, we solve the equation using a graph

i.e. we plot the graph of x³ + x - 4 = 0

See attachment for the graph of x³ + x - 4 = 0

The points where the graph of x³ + x - 4 = 0 crosses the x-axis are the solution

In this case, the point is 1.38

Hence, the solution is x = 1.38

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Using the following incomes and expenses information, calculate the total debt-to-income ratio: Employment wages: $115,000 Interest earned: $950 Dividends earned: $1,200 Mortgage payments: $38,600 Auto loan payments: $3,300 Student loan payments: $9,000 Taxes: $31,050 Utilities: $3,600 Personal savings: $12,000 Gas: $3,500 Groceries: $7,200 Entertainment: $6,000 Charitable donations: $500 Clothing: $1,500 Travel: $1,000

Answers

To calculate the total debt-to-income ratio, we need to know the total income and the total debt.

Income:

Employment wages: $115,000
Interest earned: $950
Dividends earned: $1,200
Total Income = 115,000 + 950 + 1,200 = $117,150

Debt:

Mortgage payments: $38,600
Auto loan payments: $3,300
Student loan payments: $9,000
Total Debt = 38,600 + 3,300 + 9,000 = $51,900
Then we divide the total debt by total income and multiply the result by 100 to express the ratio as a percentage.

Debt-to-Income Ratio = (Total Debt / Total Income) x 100

Debt-to-Income Ratio = (51,900 / 117,150) x 100 = 44.63 %

So, the total debt-to-income ratio is 44.63%. This is a ratio, traditionally, lenders will consider anything above 36% to be too high, and that a borrower may be considered risky. Although, each lender has their own criteria and might also evaluate on case by case.

95 POINTS!!! To increase business, the owner of a shoe store is running a promotion in which a customer's bill can be selected at random to receive a discount. When a customer's bill is printed, a program in the cash register determines randomly whether the customer will receive a discount on the bill. The program was written to generate a discount with a probability of 0.15; that is, 15% of the bills get a discount in the long run. However, the owner is concerned the program is incorrect and is not generating the intended long-run proportion of 0.15.

The owner selects a random sample of bills and finds that only 12% of them received a discount. A confidence interval for p, the proportion of bills that will receive a discount in the long run, is 0.12 ± 0.05, and all conditions for inference are met.

Consider the confidence interval 0.12 ± 0.05.

Part A: Does the confidence interval provide convincing statistical evidence that the program is not working as intended? Justify your answer. (3 points)

Part B: Does the confidence interval provide convincing statistical evidence that the program generates the discount with a probability of 0.15? Justify your answer. (2 points)

Part C: A second random sample of bills is taken that is six times the size of the original sample. In the second sample, 12% of the bills received the discount. Determine the value of the margin of error based on the second sample of bills used to compute an interval for p with the same confidence level as that of the original interval. (2 points)

Part D: Based on the margin of error in part C that was obtained from the second sample, is the program working as intended? Justify your answer.

Answers

The statement is not valid.the statement is valid.The margin of error when the sample size if 6-fold is 0.020. The program is NOT working as intended.

What is a confidence interval?

An area surrounding a measurement that indicates how accurate it is called a confidence interval.

Let X = The proportion of n randomly selected consumers who receive the discount. So, X = B(n, p), where p is the likelihood that a consumer will receive the discount.

Back-up Theory 100(1 - α) % Confidence Interval for the population proportion, p is:

p ± Zα/2[√{P(1 –p)/n}] ……(1)

where

Zα/2 is the upper (α/2)% point of N(0, 1),

pcap = sample proportion, and

n = sample size.

One can conclude with 100(1 - )% confidence that the population proportion, p, is p if a 100(1 - )% Confidence Interval for p holds a specific hypothesized value of p…………. (2)

Now to work out the solution,

The given confidence interval is: 0.12 ± 0.05 i.e., [0.07, 0.17] or [7%, 17%]……………………. (3)

for Part (a)

equation (2) and (3), [7%, 17%] holds 15%. Hence the statement is NOT valid.

for Part (b)

equation(2) and (3), [7%, 17%] holds 15%. Hence the statement is valid.

For Part (c)

Margin of error is: Zα/2[√{P(1 –P)/n}]

If the sample sizes under Part (c) and (a) are respectively, n2 and n1, the ratio of respective margin of errors would be

[Zα/2.√t{P(1 –P)/n2}]/[Zα/2√{P(1 –P)/n1}]

= √(n1/n2)

= 1/√6 [given the second sample size is 6 times the first sample size]

= 0.4082

= > the margin of error under Part (c) = the margin of error under Part (c) x 0.4082

= 0.05 x 0.4082

= 0.020.

Thus, the margin of error when the sample size if 6-fold is 0.020.

For Part (d)

The revised Confidence Interval from Part (c) is 0.12 ± 0.02 or [0.10, 0.14], which does not hold 0.15 as a result, according to (2), the program is NOT operating as anticipated.

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-20 POINTS- Find the value of X

X=[?]

Answers

Answer:

x=1252x^2

I'm not sure if I'm 100% correct

Sorry.

Answer is the unknown side is 10

Step by step

We use Pythagorean theorem to solve this

a^2 + b^2 = c^2

The two short sides are a and b
The hypotenuse or diagonal is c

we are looking for side b (or x)

a^2 + b^2 = c^2

24^2 + b^2 = 26^2

576 + b^2 = 676

subtract 576 from both sides to isolate b

576 - 576 + b^2 = 676 - 576

b^2 = 100

√ b^2 = √100

b = 10





Find the quotients for the following equations-
1.72 divided by 3 (use sharing to divide)
2 228 divided by 5 (use partial quotients)
3. 1,487 divided by 4 (solve using any strategy you choose)
Complete these questions on yellow loose leaf paper
Your thinking must be visible.

Answers

Divide 228/5 into 45, leaving a residue of 3, and divide 1,487 by 4 to get 371.75 . 2.28 divided by 5 using partial quotients = 40 + 5 = 45

what is quotients ?

The quotient is a whole number when a number is entirely divisible by another integer.For instance, 15 x 3 = 5. (whole number)The quotient is a decimal number when a number is not entirely divisible by another integer. For instance, 15 x 2 equals 7.5 (decimal number)

given

2.28 divided by 5 using partial quotients = 40 + 5 = 45

after all partial quotients are added up. 1.72 divided by 3 using sharing to divide = 1.72 / 3 = 0.58

Divide 228/5 into 45, leaving a residue of 3, and divide 1,487 by 4 to get 371.75 .

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Shirt Prices
$50, $35, $48,
$31, $34
What is the median price of the five shirts?

Answers

Answer: 35 would be the median

Step-by-step explanation: Put the numbers in order and whichever one is the middle value is the median

Answer:

35

Step-by-step explanation:

The median is the middle price when listed from smallest to largest

31, 34,   35,    48, 50

The middle price is 35

The median is 35

Mike went on a bicycle trip. Every 4 days he travels 230 miles.
Create a proportional table comparing miles traveled to days spent traveling.

Answers

Calculating the ratio between each pair of values in a table allows you to determine whether a proportional relationship is present. The table depicts a proportional relationship if all of those ratios are the same.

How should an equation for a proportional table be written?

y = k x, where is the proportionality constant, is the equation that depicts a proportional relationship, or a line. Find k and create the equation by using k = y x from a table or graph. Tables, graphs, and equations can all be used to depict proportional relationships.

How should a proportional relationship be written?

The equation y = kx represents a proportional relationship between two quantities y and x that have the same proportionality constant, k.

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if you earn 3250 over the 10 year period, how much will be in the account at the end of the 10 year period?

Answers

If earning 3250 per month over 10year period, At the end of 10th year, the amount on the account will be 390,000

What is multiplication?

To multiply means to add equal groups. When we multiply, the number of things in the group increases. The two factors and the product are parts of a multiplication problem. In the multiplication problem, 6 × 9 = 54, the numbers 6 and 9 are the factors, while the number 54 is the product.

The amount earned In a month is 3250.

There are 12 months In a year.

The total month in 10 years = 10× 12 = 120 months

The total amount in the account for 10years = 120×3250 = 390,000

Therefore there will be 390000 in the account at the end of 10th year.

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LMNP is a rectangle. Find the value of x and the length of each diagonal.

Answers

The value of x is equal to 3.

The length of diagonal LN is equal to 18 units.

The length of diagonal MP is equal to 15 units.

What is a diagonal?

In Mathematics, the diagonal of a rectangle can be defined as a line segment that connects any two (2) of its non-adjacent vertices together while dividing the rectangle into two (2) equal parts.

This ultimately implies that, the length of each diagonal of a rectangle is always equal to each other. Therefore, the diagonals of any rectangle is always equal to one other.

How to determine the value of x?

We would determine the value of x by equating the length of each diagonal as follows;

LN = MP

7x - 3 = 4x + 3.

7x - 4x = 3 + 3

3x = 6

x = 6/2

x = 3.

Next, we would calculate length of each diagonal as follows;

LN = 7x - 3

LN = 7(3) - 3

LN = 21 - 3

LN = 18 units.

MP = 4x + 3.

MP = 4(3) + 3.

MP = 12 + 3

MP = 15 units.

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Complete Question:

LMNP is a rectangle. Find the value of x and the length of each diagonal.

LN = 7x - 3 and MP = 4x + 3.

Find the product.
(6t²-8bs) (t² + bs)
Enter the correct answer.

Answers

The product of given equation is      [tex]6t^{4} + 6t^{2} bs-8bst^{2} -8b^{2} s^{2}[/tex] .

Define expression.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)

What is equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

[tex]=(6t^{2} -8bs) (t^{2} + bs)[/tex]

[tex]=6t^{2} (t^{2} + bs) -8bs(t^{2} + bs)[/tex]

[tex]=6t^{4} +6t^{2}bs -8bst^{2} -8b^{2} s^{2}[/tex]

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Quite simply I don’t know HJ, that’s it.

Answers

What that makes no sense

The design of a digital box camera maximizes the volume while keeping the sum of the dimensions at 4.5 inches. If the length must be 1.5 times the height, what should each dimension be?

Answers

6.75!!! You either times 4.5 and 1.5 or divide!

You deposit $250 in an account that earns simple interest at an annual rate of 2.2%.
How much money is in the account after 4 years?

Answers

Therefore , the solution to the given problem of interest comes out to be $272.

What does interest mean?

Simple interest is calculated by dividing initial capital by the interest rate, the duration, and other variables. The formula employed in marketing is simple return = principle + interest plus hours. This approach is the simplest way to calculate interest. Calculating interest as a percentage of the principle sum is the most common approach. For instance, he may only pay his portion of the interest if he borrowed $100 from a friend and agreed to pay it back with 5% interest. $100 (0.05) = $5. You should pay interest when you make loans, and you also must pay interest when you lend it. Usually, interest is calculated as a portion of a loan.

Here,

Given: $250 in principal

a 2.2% interest rate

and a 4-year term

To discover the basic interest:

Using this formula

Simple interest is equal to

=>P*R*T/100,

=> 250*2.2*4/100

=> 22.

Total amount after 4 years = 250 + 22 =272

Therefore , the solution to the given problem of simple interest comes out to be $272.

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What's the inches equivalent of 63.5 millimeters? A. 2.5, B. 24, C. 3.2. D 31

Answers

Answer: A

Step-by-step explanation: 2.5 inches = 63.5 millimeters

4x+5y=-7
-5x-3y=-1

I need help with this question since im not smart

Answers

Answer:

To solve this system of equations, you can use the method of elimination. To do this, you can add the two equations together:

4x + 5y - 5x - 3y = -7 - 1

-x + 2y = -8

Then, you can divide both sides of the equation by -1 to solve for y:

x - 2y = 8

y = (x - 8) / 2

Now that you have solved for y, you can substitute this expression back into either of the original equations to solve for x. For example, you can substitute y = (x - 8) / 2 into the first equation to get:

4x + 5((x - 8) / 2) = -7

4x + 5x - 40 = -7

9x = 33

x = 3.67

Now that you have solved for both x and y, you can find the solution to the system of equations:

x = 3.67

y = (3.67 - 8) / 2 = -2.17

So, the solution to the system of equations is x = 3.67 and y = -2.17.

Find (f•g)(1)
f(x)=x²-1
g(x) = √x

Answers

The answer to the stated domain range puzzle is 0.

What exactly are a domain and range?

both domain and range. The range of values that can be plugged into a function is known as its domain. In a function like f, this set represents the x values (x).  The values that the function outputs when we enter an x value are in this set.

What do a function's domain and range consist of?

The collection of all possible inputs and outputs constitutes a function's domain and range, respectively. Important features of a function are the domain and range.

According to the given information:

(f(g)(x) = (√x)² - 1

(f(g)(x) = x - 1

(f(g)(x)(1)  = 1 - 1 = 0

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convert 84 min into fraction

Answers

Answer:

84/60

Step-by-step explanation:

1 hour is 60 minutes so 84 minutes /60 gives how much it is in hours

What’s does 1.56x-7.8 equal

Answers

Answer:-12.168

Step-by-step explanation: multiply it regularly, then count how many decimals are after the numbers, in this case, 3. cus it’s 2 after 1.56 and one after 7.8

Answer: x=5

Step-by-step explanation:

Solve the rational equation by combining expressions and isolating the variable (x)

PLEASEEEE HELP MEE WITH THIS EQUATION

Answers

Answer:

Basically, LON would be 8z + 112 + 6z - 17

So, our equation will look like this

8z + 112 + 6z - 17 = -1z + 65

Subtract the 6z from the 8z

2z + 112 - 17 = -1z + 65

112 - 17 = 95

2z + 95 = -1z + 65

add the 1z

3z + 95 = 65

subtract the 95

-30

3z = -30

The answer is -10 :)

Step-by-step explanation:

Answer:

LON=75

Step-by-step explanation:

LON= LOM=NOM

-1z+65=8z+112-6z-17

-1z+65=2z+95

3z=-30

z=-10

LON= -1z+65

       = -1(-10)+65

       = 10+65

LON= 75

A ball is launched from a 25.48-meter tall platform. The equation
for the ball's height h at time t seconds after launch is h (t) =
-4.9t² + 2.94t + 25.48, where his in meters. When does the object
strike the ground?

Answers

Therefore the solution of the given question of equation comes out to be the object will hit the ground after 6 seconds.

Define equation.

Two variables that are equal—one on each side of a "equals" sign—are represented mathematically by an equation. Equations can be used to solve problems in daily life. To tackle challenges in real life, we frequently seek pre algebra assistance. The very foundation of mathematics is pre-algebra.

Here,

Given : -4.9t² + 2.94t + 25.48

Then,

To find the When does the object strike the ground :

We get :

=> -4.9t² + 2.94t + 25.48 = 0

Using discriminant formula

We find the value of t:

=> t = -19.6 ±[tex]\sqrt{19.6^{2} - 4 (-4.9)(25.48)}[/tex] /  2(-4.9)

=> t =-2 or 6

So we neglect -2

So solution for t = 6 seconds

Therefore the solution of the given question of equation comes out to be the object will hit the ground after 6 seconds.

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The amount of time in seconds, t, it takes for a bungee jumper to free fall is given by the function t equals the square root of the quantity d over 16 end quantity comma where d represents the distance that the object falls, in feet. If a bungee jumper free falls for 5 seconds, how far does the jumper fall? (5 points)
400 feet
160 feet
6,400 feet
80 feet

Answers

If the amount of time in seconds, t, it takes for a bungee jumper to free fall is given by the function t equals the square root of the quantity d over 16. The distance the jumper fall is: A 400 feet.

How to find the distance?

Using this formula to find the distance by solving for d

t=√d/q

Where:

t = Time = 5 seconds

d = Distance = ?

q = Quantity = 16

So,

5 seconds=√d/16

d=16x5²

d=16 × 25

d= 400 feet

Therefore we can conclude that the correct option is A.

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The patient’s weight is 245 lbs. If the patient loses 1 kg every week for 5 weeks:
a. How much will the patient weight in pounds?
b. How much will the patient weight in kilograms?

Answers

a) The patient weight in pounds is 234 lbs.

b) The patient weight in kilograms is 106.36 Kg.

What is Unit Conversion?

The same attribute is expressed using a unit conversion, but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometres, feet, or any other measurement unit instead of miles.

Given:

The patient’s weight is 245 lbs.

Each week patient loses = 1 Kg

So, In 5 week patient loses = 5 Kg

As, 1 kg = 2.2 lbs

In 5 week patient loses = 11 lbs

a) The weight of the patient after 5 weeks = 245 lbs. - 11 lbs.

                                                                      = 234 lbs.

b) The weight of the patient after 5 weeks =  234 lbs.

The weight of the patient after 5 weeks in Kg

= 234 lbs x 1 kg per 2.2 lbs.

= 106.36 kg

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