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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Steps to solve equation
An equation may have more than one solution.
What is an equation?
A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.
Calculating the value of the unknown variable while keeping the equation balanced on both sides is the process of solving equations. A condition on a variable is an equation when it ensures that two expressions in the variable have the same value. The variable's value for which the equation holds true is referred to as the equation's solution. If the LHS and RHS are switched, an equation doesn't change. The solution is discovered after isolating the variable for which the value must be determined. Depending on the kind of equation we are dealing with, we can solve it. There are various types of equations, including linear, quadratic, rational, and radical ones.
Steps to solve a linear equation:
1. If necessary, remove the parentheses and use the distributive property.
2. By merging like terms, make both sides of the equation simpler.
3. The LCD (least common denominator) of all the fractions should be multiplied by both sides of the equation if there are any fractions.
4. If the equation contains decimals, multiply both sides by the lowest power of 10 to make the result a whole number.
5. Using the addition and subtraction properties of equality, move the constant terms to the other side of the equation and the variable terms to the other.
6. Using the equality properties of multiplication or division, set the variable's coefficient to 1.
7. Get the answer by isolating the variable.
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2 Log y= 1/2 Log 16-Log 2 + 2 Log 3
Answer:
Based on the given equation, the function g is an exponential function with base 2. The y-intercept of the function g is at (0, 4).
The graph of function f is not described, so it is not possible to accurately compare the two functions. In order to accurately compare the two functions, it would be helpful to have more information about the graph of function f, such as the vertex and any other points that the graph passes through.
How do you write 0.00000000090 in scientific notation?
Answer:
Step-by-step explanation:
9.0 × 10-10 I think.....
I need help with this PLEASE!!!
Answer:
See the image for marked congruences.
1. JM ≅ LM | Given
2. △JML is isosceles | definition of isosceles
3. ∠MJL ≅ ∠MLJ | isosceles triangle theorem
4. m∠MJL = m∠MLJ | definition of ≅
5. JK ≅ LK | Given
6. △JKL is isosceles | definition of isosceles
7. m∠KJL = m∠KLJ | isosceles triangle theorem
8. m∠MJL + m∠KJM = m∠KJL | adjacent angle theorem
9. m∠MLJ + m∠KMJ = m∠KLJ | adjacent angle theorem
10. m∠MJL + m∠KJM = m∠MLJ + m∠KLM | transitive property of =
11. m∠MJL + m∠KJM = m∠MJL + m∠KLM | substitution
12. m∠KJM = m∠KMJ | subtraction
13. ∠KJM ≅ ∠KLM | definition of ≅
14. △KJM ≅ △KLM | SAS theorem
15. ∠JKM ≅ ∠LKM | CPCTC
16. KM bisects ∠JKL | definition of bisector
prime numbers of the form p and p+2, where p is a prime number, are known as ______ prime numbers
Prime numbers of the form p and p+2, where p is a prime number, are known as twin prime numbers.
What is the Prime numbers about?
A twin prime is a prime number that is either 2 less or 2 more than another prime number. For example, the number 3 and 5 are twin primes, because they are both prime and the number 5 is 2 more than 3. Similarly, the number 5 and 7 are also twin primes, because they are both prime and the number 7 is 2 more than 5.
Therefore, Twin primes are considered as interesting numbers in number theory because of their relative rarity, rare in nature and because they are the building blocks for certain types of primes such as Sophie Germain primes and safe primes.
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The first modern Olympic games were held in Greece 1896. The 2004 Olympic games in Athens had 202 participating countries. The number of countries in the 2004 Olympic games was more than 14 times the number of countries in the 1896 games. How many countries participated in the 1896 Olympic games?
Answer: To solve this problem, we can use the information provided to set up and solve an equation. Let x be the number of countries that participated in the 1896 Olympic games.
According to the problem, we know that the number of countries in the 2004 Olympic games was more than 14 times the number of countries in the 1896 games. So we can write the following equation:
x * 14 < 202
To solve for x, we can divide both sides of the inequality by 14:
x < 202/14
x < 14.43
x is the number of countries, it must be an integer.
so x = 14
Therefore, 14 countries participated in the 1896 Olympic games.
Step-by-step explanation:
In triangle ABC, angle A is 37° and angle B is 24*. Select all triangles which are similar to triangle ABC.
D triangle DEF where angle Dis 37° and angle E is 24
• triangle GHI where angle G is 37" and angle I is 34°
O triangle JKL where angle J is 35" and angle L is 125*
• triangle MNO where angle Nis 24* and angle E is 119
O triangle POR where angle O is 24° and angle R is 30
Answer:
Triangles DEF and JKL are similar to triangle ABC because they have corresponding angles with the same measure.
Step-by-step explanation:
•Triangles DEF and JKL are similar to triangle ABC because they have corresponding angles with the same measure.
•The Triangle GHI is not similar to triangle ABC because the measure of angle G does not match the measure of angle A.
•The Triangle MNO is not similar to triangle ABC because the measure of angle N does not match the measure of angle B.
• The Triangle POR is not similar to triangle ABC because the measure of angle R does not match the measure of angle A or B.
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Nancy wanted to find the volume of a cubiod she measured the length of the cubiod as 11 cm and width as 8cm and the height as
When Nancy wanted to find the volume of a cuboid, the volume is 352cm³.
How to calculate the volume?Word problem simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.
Since Nancy wanted to find the volume of a cubiod she measured the length of the cubiod as 11 cm and width as 8cm and the height as 4cm.
The volume will be:
= Length × Width × Height
= 11cm × 8cm × 4cm
= 352cm³
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Complete question
Nancy wanted to find the volume of a cubiod she measured the length of the cubiod as 11 cm and width as 8cm and the height as 4cm. Find the. volume
PLEASE HELP ASAP DUE TODAY
Answer:
y = -3/4x + 52
y + 6 = -3/4(x-8)
Step-by-step explanation:
y = mx + c
as long as the number is -3/4x , it represents slope -3/
Answer:
B. y = -3/4x + 52, C. y + 6 = -3/4(x - 8), and F. 3x + 4y = 9
Step-by-step explanation:
A. -3x + 4y = -34
y = 3/4x - 17/2
Slope = 3/4
INCORRECT
B. y = -3/4x + 52
Slope = -3/4
CORRECT
C. y + 6 = -3/4(x - 8)
y = -3/4x
Slope = -3/4
CORRECT
D. 4x + 3y = -22
y = -4/3x - 22/3
Slope = -4/3
INCORRECT
E. 4x - 3y = 48
y = 4/3x - 16
Slope = 4/3
INCORRECT
F. 3x + 4y = 9
y = -3/4x + 9/4
Slope = -3/4
CORRECT
G. y - 6 = 3/4(x - 8)
y = 3/4x
Slope = 3/4
INCORRECT
I need help with this?
The first equation will be multiplied by 3 and that of the second by 4.
What is an elimination method?An elimination method is a process of solving a system of linear equation, in this we make coefficients of the one variable equal and subtract the equations.
Given that are two equations to be solved by using elimination method,
-4x+4y = 32.....(i)
3x-y = 12......(ii)
To eliminate x, we will multiply eq(i) by 3 and eq(ii) by 4
-12x+12y = 96.....(iii)
12x-4y = 48....(iv)
Solving the equations, we get,
8y = 144
y = 18
Put y = 18 in eq (ii)
3x-18 = 12
3x = 30
x = 10
Hence, the first equation will be multiplied by 3 and that of the second by 4.
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A triangle has dimensions 9ft by 12ft if you wanted to increase the size of the triangle by a scale factor of 10 over three what would the area of the new triangle be
The area of the new triangle is 600ft²
How determine the area of the new triangle?To increase the size of a triangle by a scale factor of 10/3, multiply each dimension of the triangle by 10/3.
The new dimensions of the triangle will be:
10/3 × 9ft = 30ft
10/3 × 12ft = 40ft
The area of a triangle is given by the formula A = 1/2 × b ×h,
where b is the length of the base and h is the height of the triangle.
Thus, the area of the new triangle will be:
A = 1/2 × 30 × 40 = 600ft²
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Scatterplot Question
1) The equation of a line of best fit is; y = -1.15x + 102.8
2) The predicted monthly cost for an average temperature of 25°F is $74.05
How to find the equation of the line of best fit?The equation of a line of best fit is represented by the equation;
y = mx + c
where;
m is the slope
c is the y-intercept
1. To calculate the slope here, we will use the formula;
Slope = (y₂ - y₁)/(x₂ - x₁)
Using two coordinate points on the scatter plot, (72, 20) and (20, 80), we have the slope as;
Slope (m) = (80 - 20)/(20 - 72)
Slope = 60/-52
Slope = -1.15.
Plug in -1.15 for m and (a, b) = (72, 20) into the formula; y = mx + c to get;
20 = -1.15(72) + c
c = 20 + 82.8
c = 102.8
The equation will now be;
y = -1.15x + 102.8
2. Monthly heating cost, y, for a month with an average temperature of 25°F (x) will be calculated by plugging in 25 for x in the equation of line of best fit gotten earlier to get;
y = -1.15(25) + 102.8
y = 102.8 - 28.75
y = $74.05
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How do you simplify 3/4-2/3?
Answer:
1/12
Step-by-step explanation:
3/4 - 2/3 = 9/12 - 8/12 = 1/12
Answer:
The answer is 1/12 good luck with the rest
Find the sketch the domain of the function f(x,y,z) = ln(144 - 9x² - 16y² - z²)
The domain of the function f(x, y, z) = ln(144 − 9x² − 16y² − z²) is x ∈ (-4, 4), y ∈ (-3, 3) and z ∈ (-12, 12) which forms an ellipsoid.
What is the domain?Domain of a function is the set of all values possible for the input parameters for real output parameter or output parameter in given range.
Given the function as f(x, y, z) = ln(144 − 9x² − 16y² − z²)
For f(x, y, z) to be real, the function 144 − 9x² − 16y² − z² should be greater than 0. So,
144 − 9x² − 16y² − z² > 0
9x² + 16y² + z² < 144
x²/ 4² + y²/ 3² + z²/ 12² < 1
Therefore, the domain is an ellipsoid.
Therefore x ∈ (-4, 4)
y ∈ (-3, 3)
z ∈ (-12, 12)
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Show that 100 divided by 20 is 5, using at least five daily life examples.
The 5 life examples are:
You have 100 pieces of candy and you want to divide them equally among 20 people. Each person would get 100/20 = 5 pieces of candy.A pizza is cut into 100 slices, and you want to divide it evenly among 20 people. Each person would get 100/20 = 5 slices of pizza.You have 100 dollars and you want to spend them on 20 items at the same price. Each item would cost 100/20 = 5 dollars.You want to divide a 100-minute task into 20 equal parts. Each part would take 100/20 = 5 minutes.You are scheduling 100 appointments in a day and you want to divide them into 20-hour blocks. Each block would have 100/20 = 5 appointments.What are the Life examples about?In all these life examples that are listed above, the number 100 is divided by 20 giving 5 as the result. which is said to be:
100/20
= 5.
Therefore, reason behind this is that the number 20, in these life examples, is a representative of a whole value and the number 5 represents the number of parts it is being divided into, so when you multiply 20 by 5, you get 100, which represents the total of these five parts. So, 100 is related to 20 in this context as the multiple of 20 and 5.
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How many ounces each of a 63% acid solution and a 33% acid solution must be mixed to produce 100 ounces of a 39% acid solution?
Answer:
20 ounces of the 63% solution and 80 ounces of the 33% solution.
Step-by-step explanation:
Let x = number of ounces of 63% solution.
Let y = number of ounces of 33% solution.
The total solution to be made is 100 oz.
x + y = 100
x ounces of 63% solution is 0.63x ounces of acid.
y ounces of 33% solution is 0.33y ounces of acid.
100 ounces of 39% solution is 39 ounces of acid
0.63x + 0.33y = 39
The system of equations is
x + y = 100
0.63x + 0.33y = 39
Multiply the both sides of the first equation by -0.33. Then add it to the second equation.
-0.33x - 0.33y = -33
+ 0.63x + 0.33y = 39
---------------------------------
0.3x = 6
x = 6/0.3
x = 20
x + y = 100
20 + y = 100
y = 80
Answer:
20 ounces of the 63% solution and 80 ounces of the 33% solution.
Which graph represents a function?
Answer:
The fourth graph since it passes the vertical line test.
Each input has one output.
Hope this helps :)
Please help me solve
On solving the provided question, we can say that - the linear equation
y=mx+b = [tex]y=6.4(82)+1900= > y=524.8+1900= > y=2424.8[/tex]
What is a linear equation?The algebraic equation y=mx+b is known as a linear equation. B is the y-intercept, and m is the slope. The previous sentence, where y and x are variables, is commonly referred to as a "linear equation in two variables." Bivariate linear equations are those that contain two variables in them. The linear equations 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3 are examples. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.
y=mx+b
x=gallons of fuel
y=total weight of plane including fuel
m=slope=6.4
b=weight of plane, no fuel....a constant to be calc'd
[tex]y=mx+b\\2245.6=6.4(54)+b\\2245.6=345.6+b\\ b=1900\\ y=6.4x+1900\\ y=6.4x+1900\\ y=6.4(82)+1900\\ y=524.8+1900\\ y=2424.8[/tex]
82gallons fuel is 2424.80 lbs
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Find, rounded to the nearest hundredth, the diagonal of a rectangle whose sides are 6 and 11.
WHAT IS THE ANSWER. I NEED IT ASAP
Answer:
The length of the diagonal is 12.53
Step-by-step explanation:
Since we have a rectangle, the diagonal is the hypotenuse of a right triangle. So we can use Pythagorean Theorem.
a^2 + b^2 = c^2
We know the two legs are 6 and 11, so we can find the hypotenuse (which is the diagonal) see image.
See image.
please tell me how to solve!!
the equation in the form of slope interpretation is y = 1/3x -4.
What is a Linear equation?An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation has the conventional form y = mx + c.
Given data in a table such as it makes a linear equation slope-intercept form of the given equation is y = mx +c
Where m is the slope
c is constant
The slope for the given data
m = (y₂ - y₁) / (x₂ - x₁)
m = (-5 + 6 )/ (-3 + 6)
m = 1/3
Hence, the equation would be
y = 1/3x + c
for constant we would satisfy the equation with other coordinates of the line.
Substituting ( 0, -4) in the above equation
-4 = 0 + c
c = -4
thus, the equation of the line is y = 1/3x -4
therefore, the linear equation of the given data is y = 1/3x -4.
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Please Click The Screenshot.
Answer:
Step-by-step explanation:
70%=0.7
90 X 0.7 = 63
ANSWER IS 63
The table, the equation, and the graph show the rates at which three different students read in words per
minute. Which student reads faster?
The student that has the highest reading rate is Student C who has the highest rate of change of the number of words read of 158 words per minute.
What is the rate of change of a function?The rate of change of a function is the rate at which the output value changes per unit change in the input value.
The possible data and table obtained from a similar question on the website are presented as follows;
Student A
Number of minutes; [tex]{}[/tex]1 2 3 4
Number of words read; 150 [tex]{}[/tex]300 450 600
Student B
y = 158·x
Where;
x = The time duration in minutes
y = The number of words read by the student
Student C
The points on the graph representing the reading rate of student C are; (2, 280), (3, 420), (5, 700)
The first difference of the number of words read by Student 1 is constant, indicating that the relationship is a linear relationship, with the reading rate obtained by the rate of change of the number of words read as follows;
Reading rate for Student A = (300 - 150)/(2 - 1) = 150
The reading rate for Student A is 150 words per minute
The equation for the reading rate of Student B; y = 158·x, indicates that Student B reads 158 words per minute
The of the straight ling graph for the reading rate of Student C is found as follows;
Slope = (420 - 280)/(3 - 2) = 140
The slope indicates that the number of words read by Student C increases by 140 words every minute, therefore, the reading rate for Student C is 140 words per minute
The student that reads fastest is therefore, Student C who has a reading reading rate of 158 words per minute
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can anyone help me out with this question
Answer:
[tex] \sf \: b) \: 45[/tex]
Step-by-step explanation:
The values given are,
→ u = 7
→ d = 10
→ e = 3.2
Now the expression is,
→ 15(d - u)
Evaluating the expression,
→ 15(d - u)
→ 15(10 - 7)
→ 15 × 3
→ 45
Hence, option (b) is correct.
Answer:45
Step-by-step explanation:
15(10-7)
15(3)
multiply and get 45
What is the domain of the function with the graph given below?
Answer:
(-∞, 1] or {x|x<=1}
Step-by-step explanation:
A woman has 31 coins in her pocket, all of which are dimes and quarters. If the total value of the coins is $ 5.20, how many dimes and how many quarters does she have?
Answer:
D+Q = 31
10D + 25Q = 595
10D + 10Q = 310
subtract to get
15Q = 285 Q = 285/15 = 19 quarters D = 31-19 = 12 dimes
what is the slope of the table below? 3/8 15/12 9/10 0/7
The slope of the table below? 3/8 15/12 9/10 0/7 is 23.8
What is slope?Slope is defined as the rate of change of y with respect to x. Invariably, it it the rise in y over the run in x. put differently, slope is increase over increase in x
The slope of a line is defined
S= (increase in y)/(Increase in x) = Δy/Δx
Slope = (0/7 - 18/12) ÷ (9/10 -3/8)
Slope = 15/12 ÷ 42/80
Simplify the fractions to have
Slope = 15/12 * 80/42
The slope = 1200/504
Slope of the table is given as 23.4
Conclusively, the table gives us a slope approximately 23
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which value of s makes the following true 7s < 42
The value of s that makes the inequality true is 6
What is an inequality?An inequality can simply be defined as a mathematical relation that makes a non-equal comparison between two variables, numbers, ratios or other mathematical expressions.
It is used in comparing two numbers on the number line on the basis of their size.
The inequality signs are;
Greater than: >Less than: <Greater than or equal to: ≥Less than or equal to: ≤From the expression given, we have;
7s < 42
Make 's' the subject by dividing both sides by 7, we have;
s > 42/7
s> 6
Hence, the value is greater than 6
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i feel like im doing something wrong here it's in order of operation
(3+5)5-20(2+5) when i put it in a calculator it says the answer is 27 but when i work out the problem out i get out 0
We will solve the expression:
(3 + 5)*5 - 20*(2 + 5)
Step by step, and we will get the solution -100.
How to solve the expression?Here we want to solve the following expression:
(3 + 5)*5 - 20*(2 + 5)
The first thing that you need to solve when working in these type of problems, are the operations inside the parenthesis, then we will get:
(3 + 5)*5 - 20*(2 + 5) = (8)*5 - 20*(7)
Now we need to solve the two products, we will get:
(8)*5 - 20*(7) = 40 - 140 = -100
Thus, the solution of that expression is -100.
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how many times does 12 go into 72
Answer:
Step-by-step explanation:
6
Please help me with these questions if can explain i am a bit confused at it
On solving the provided question, we can say that - he re the slope value is using the formula y/x = k => [tex]k = 2/3[/tex]
what is slope?A line's steepness is determined by its slope. The "gradient overflow" is a mathematical expression for the gradient (the change in y divided by the change in x). The ratio of the vertical change (rise) between two points to the horizontal change (run) between the same two places is referred to as the slope. The slope-intercept form of an equation is used to represent each time a straight line's equation is stated as y = mx + b. The line's slope is m. b is b at the point where the y-intercept is, and (0, b). As an illustration, the equation y = 3x - 7 has a slope of 3, and its y-intercept is (0, 7).
Use the point (3, 2) and divide y by x using the formula y/x = k.
[tex]k = 2/3[/tex]
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