Answer:
The Numerator is 6x + 4y - 3z
Step-by-step explanation:
Step 1 :
z
Simplify —
4
Equation at the end of step 1 :
x y z
(— + —) - —
2 3 4
Step 2 :
y
Simplify —
3
Equation at the end of step 2 :
x y z
(— + —) - —
2 3 4
Step 3 :
x
Simplify —
2
Equation at the end of step 3 :
x y z
(— + —) - —
2 3 4
Step 4 :
Calculating the Least Common Multiple :
4.1 Find the Least Common Multiple
The left denominator is : 2
The right denominator is : 3
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
2 1 0 1
3 0 1 1
Product of all
Prime Factors 2 3 6
Least Common Multiple:
6
Calculating Multipliers :
4.2 Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 3
Right_M = L.C.M / R_Deno = 2
Making Equivalent Fractions :
4.3 Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.
To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.
L. Mult. • L. Num. x • 3
—————————————————— = —————
L.C.M 6
R. Mult. • R. Num. y • 2
—————————————————— = —————
L.C.M 6
Adding fractions that have a common denominator :
4.4 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
x • 3 + y • 2 3x + 2y
————————————— = ———————
6 6
Equation at the end of step 4 :
(3x + 2y) z
————————— - —
6 4
Step 5 :
Calculating the Least Common Multiple :
5.1 Find the Least Common Multiple
The left denominator is : 6
The right denominator is : 4
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
2 1 2 2
3 1 0 1
Product of all
Prime Factors 6 4 12
Least Common Multiple:
12
Calculating Multipliers :
5.2 Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 2
Right_M = L.C.M / R_Deno = 3
Making Equivalent Fractions :
5.3 Rewrite the two fractions into equivalent fractions
L. Mult. • L. Num. (3x+2y) • 2
—————————————————— = ———————————
L.C.M 12
R. Mult. • R. Num. z • 3
—————————————————— = —————
L.C.M 12
Adding fractions that have a common denominator :
5.4 Adding up the two equivalent fractions
(3x+2y) • 2 - (z • 3) 6x + 4y - 3z
————————————————————— = ————————————
12 12
Final result :
6x + 4y - 3z
————————————
12
find the number of moles in 15 grams if silver
Answer:0.139 moles
Step-by-step explanation:
moles =[tex]\frac{mass}{Mr}[/tex]
NOTE: molecular mass of silver is 107.8682
n= [tex]\frac{15}{107.8682}[/tex]
this will give you the final answer of
n= 0.139 moles OR 0.14 moles
Final answer:
To find the number of moles in 15 grams of silver, divide the mass by the molar mass of silver (107.87 g/mol). The result is approximately 0.139 moles of silver.
Explanation:
To find the number of moles in 15 grams of silver, we can use the molar mass of silver. First, the molar mass of silver (Ag) is 107.87 grams per mole, which is the mass of one mole of silver.
We can calculate the number of moles of silver using the formula:
Number of moles = Mass of the substance (in grams) / Molar mass of the substance (in grams per mole)
So, for silver:
Number of moles = 15 grams / 107.87 grams/mole
When we perform this calculation:
Number of moles = 0.139 moles (rounded to three decimal places)
Therefore, there are approximately 0.139 moles of silver in 15 grams of the metal.
Plz help me with this
Answer:
y = 4 cosx
Step-by-step explanation:
The standard form of cosine is
y = acos(bx)
where amplitude = | a |
with maximum value a and minimum value - a
The only expression in this form is
y = 4cosx
Answer:
y = 4 cosx
Step-by-step explanation:
A skier is trying to decide whether or not to buy a season ski pass. a daily pass cost $78. a season ski pass cost $300 the skier would have to rent skis with either pass for $25 per day.how many days will the skier have to go skiing in order to make the season pass less expensive than the day pass?
Answer:
The skier would have to to go 4 times for the season pass to be cheaper than the day stump.
Step-by-step explanation:
This is because the day pass is $103, including ski rentals. $103 times 4 is 412. Then I have to find out what the cost is for 4 ski rentals, which is 25 times 4. That means that 4 ski rentals are $100. Then I add that to the $300, and that is $400. So therefore, the season pass is cheaper after 4 times of going skiing.
Which statement best describes the association between
variable X and variable Y?
A.There is a strong negative association.
B.There is a weak negative association.
C.There is a strong positive association.
D.There is a weak positive association.
E.There is no linear association.
Answer:
b
Step-by-step explanation:
Answer:
B.There is a weak negative association.
Step-by-step explanation:
Which points are on the plane curve described by the following set of parametric equations? Select TWO
X = 4t + 3 and Y = 5t^2
Answer Choices:
(-1 , -5)
(-1 , 5)
(1 , 7)
(2 , 11)
(7 , 5)
ANSWER
(-1,5)
(7,5)
EXPLANATION
The given set of parametric equations is:
[tex]x = 4t + 3[/tex]
and
[tex]y = 5 {t}^{2} [/tex]
We make t the subject in the first equation to get:
[tex]t = \frac{x - 3}{4} [/tex]
We put this into the second equation to get;
[tex]y =5( \frac{x - 3}{4} )^{2} [/tex]
When x=-1,
[tex]y =5( \frac{ - 1- 3}{4} )^{2} = 5[/tex]
Therefore (-1,5) lies on this line.
When x=7,
[tex]y =5( \frac{7 - 3}{4} )^{2} = 5[/tex]
Therefore (7,5) also lie on this line.
need help also if you can can you do it step-by-step explanation please thank you 3(c + 8) = 28
Answer:
c = 4/3
Step-by-step explanation:
3(c + 8) = 28
Since we have paranthesis, first use the dsitributive property [multiply 3 by c and 8]
3(c + 8) = 28
3c + 24 = 28
To find the value of c, you must have c alone on one side, so subtract 24 from both sides
3c + 24 = 28
3c = 4
Now, divide by 3 to both sides to get your answer
3c = 4
c = 4/3
Therefore, the answer is 4/3!
I hope this helps! :)
3 (c + 8) = 28
3 x c = 3c
3 x 8 = 24
3c + 24 = 28
3c + 24 - 24 = 28 - 24
3c = 4
3c/3 = 4/3
C = 4/3
How many integers $n$ satisfy the inequality $3n^2 - 4 \le 44$?
There are a total of [tex]\(9\)[/tex] integers that satisfy the given inequality.
To solve the inequality [tex]\(3n^2 - 4 \leq 44\)[/tex], follow these steps:
1. Add 4 to both sides of the inequality:
[tex]\[ 3n^2 \leq 48 \][/tex]
2. Divide both sides by 3:
[tex]\[ n^2 \leq 16 \][/tex]
3. Take the square root of both sides. Remember to consider both the positive and negative square roots since [tex]\(n^2\)[/tex] can be positive or negative:
[tex]\[ |n| \leq 4 \][/tex]
This inequality implies that [tex]\(n\)[/tex] must be within the interval [tex]\([-4, 4]\)[/tex] inclusive.
Now, count the integers within this interval: [tex]\(-4, -3, -2, -1, 0, 1, 2, 3, 4\)[/tex]. There are a total of [tex]\(9\)[/tex] integers that satisfy the given inequality.
The probable question may be:
"How many integers [tex]$n$[/tex] satisfy the inequality [tex]$3n^2 - 4 \le 44$[/tex]?"
What’s AB??????????!
Answer:
AB = 16
Step-by-step explanation:
The perimeter is the sum of all 5 sides of the pentagon
Sum the 5 sides, equate to 69 and solve for x
12 + 3x + 10 + x + 3 + 2x + 2 = 69
6x + 27 = 69 ( subtract 27 from both sides )
6x = 42 ( divide both sides by 6 )
x = 7
AB = 2x + 2 = (2 × 7) + 2 = 14 + 2 = 16
Putting recipe makes 4 1/2 cups of pudding. How many 1/3 cup servings does this equal?
A.12 B.8 C.13 1/2 D.10 2/3
Answer:
C
Step-by-step explanation:
First, write 4 ½ in improper form. 2 × 4 + 1 = 9. So the fraction is 9/2.
Now divide:
9/2 ÷ 1/3
To divide by a fraction, multiply by the reciprocal:
9/2 × 3/1
27/2
13 1/2
Answer C.
Consider the two dot plots below.
Which of the following statements is true?
A. The interquartile range of dot plot B is greater than the interquartile range of dot plot A.
B. The median of dot plot A is greater than the median of dot plot B.
C. The median of dot plot B is greater than the median of dot plot A.
D. The median of both the dot plots A and B is the same.
Answer:
the answer is D: the median of both the dot plot A and B is the same
Step-by-step explanation:
median is the middle value; after arranging the data in ascending or descending order...the mean of the two values is an even # of values
The median of dot plot A and median of dot plot B is 5; so therefore, the pots A and B are the same.
Answer:
the median of both thedot plots A and B is the same.
Step-by-step explanation:
The median is the middle value after arranging the data in an ascending or descending order, or the mean of the two middle values if there is an even number of values.
The median of dot plot A and the median of dot plot B is 5.
Therefore, the median of both thedot plots A and B is the same.
2 1/2 cups of flour to make 2 dozen cookies. how many cups of flour would be required to bake 15 dozen cookies
Step-by-step explanation:
2.5 : 2 = 1.25 per dozen
1.25 x 15 = 18.75
You know 15 odd number so first you will need time 2 1/2 by 7 and you know that make 14 dozens cookie so you need 17 1/2 cups of floor and you 2 1/2 is 2 dozens so divide by 2 you get 1 dozens so it 1 1/4
17 1/2 + 1 1/4 = 18 3/4
Total of 18 3/4 of cup of flours to make 15 dozens of cookie
What is the common ratio of the sequence below?
Answer:
1/4 , B
Step-by-step explanation:
This is because it is being kept on multiplying by 1/4 for each pattern.
Answer:
B) 1/4
Step-by-step explanation:
right on edu.
Rename 6 3/4 as an equivalent mixed number with a larger fraction part . Plz help me
Answer:
[tex]\frac{27}{4}[/tex]
Step-by-step explanation:
To do this, we must find a common denominator for each of these. This means we must do this
[tex]6*\frac{4}{4} =\frac{24}{4}[/tex]
Next we can add them
[tex]\frac{24}{4} +\frac{3}{4} =\frac{27}{4}[/tex]
Answer:
Step-by-step explanation:
Starting with 6 3/4, we could write 5 + 1 + 3/4, or 5 7/4.
This 5 7/4 is identical to 6 3/4, but the fractional part 7/4 is larger than the fractional part 3/4.
Lots of points. Will mark Brainliest. Answer ASAP! A 4-digit number ends in 3. If you put the number 3 in the first position, the number will decrease by 738. Find the original 4-digit number.
Answer:
Number: 4153
Step-by-step explanation:
4153 - 738 = 3415
as we know the resulting number starts with 3 and is a 4 digit number so we fix 4 in the thousands position of original number. Subsequently we fix 4 in the hundredth position of the number after subtraction from 738
4_ _ 3 - 738 = 34_ _
now we have a 2 empty spaces and 9 number to choose from, start from the lowest .
4 1 0 3 - 738 = 3365 , 4 has to be in the hundredth position
we increment the middle numbers by four and then by 1 until we get our answer
4 1 4 3 - 738 = 3 4 0 5
4 1 5 3 - 738 = 3 4 1 5 --------- Answer
show how the following sequences is an arithmetic or not
please help me
Answer:
not arithmetic
Step-by-step explanation:
An arithmetic sequence has a common difference d between consecutive terms.
Given
[tex]T_{n}[/tex] = 2n² - 1
Substitute in n = 1, 2, 3, 4 to generate the first 4 terms of the sequence
[tex]T_{1}[/tex] = 2(1)² - 1 = 2 - 1 = 1
[tex]T_{2}[/tex] = 2(2)² - 1 = 8 - 1 = 7
[tex]T_{3}[/tex] = 2(3)² - 1 = 18 - 1 = 17
[tex]T_{4}[/tex] = 2(4)² - 1 = 32 - 1 = 31
check the difference between consecutive terms
7 - 1 = 6
17 - 7 = 10
31 - 17 = 14
The differences are not common hence not an arithmetic sequence
A figure is reflected in the x-axis. How will the coordinates change?
The x-coordinates will change sign.
The x-coordinates will stay the same.
The y-coordinates will change sign.
The y-coordinates will stay the same.
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y) → (x, - y)
That is the x- coordinate remains the same while sign of the y- coordinate changes.
That is the x- coordinate remains the same while sign of the y- coordinate changes.
What is coordinate?A pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes. Usually represented by (x,y) the x-value and y-value.
Under a reflection in the x- axis
a point (x, y) → (x, - y)
That is the x- coordinate remains the same while sign of the y- coordinate changes.
The coordinates change The x-coordinates will stay the same.
What are coordinate examples?A set of values that show an exact position. On graphs it is usually a pair of numbers: the first number shows the distance along, and the second number shows the distance up or down.
Example: the point (12,5) is 12 units along, and 5 units up.
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What is the remainder when 2 is synthetically divided into the polynomial -3x2 + 7x - 9?
Answer:
-7
Step-by-step explanation:
When you divide a polynomial f(x) by (x-c), the remainder r will be f(c).
hence you will get the remainder by putting the 2 as value of x:
f(x) = -3x² + 7x - 9
f(2) = -3(2)² +7(2) - 9
= -3(4) + 14 - 9
= -12 + 5
remainder = -7
Final answer:
When substituting x with 2 in the polynomial -3x² + 7x - 9, you simply evaluate it directly. The calculation gives -3(2²) + 7(2) - 9, resulting in a remainder of -7.
Explanation:
To find the remainder when a polynomial is divided by a monomial like x - 2, you can use synthetic division. However, you have asked about the division of -3x² + 7x - 9 by 2, which is actually a simple polynomial evaluation, not a division problem. We will substitute x with 2 in the polynomial and find the remainder.
The polynomial is -3x² + 7x - 9. To find the remainder when we substitute x = 2, we evaluate the polynomial:
-3(2)2 + 7(2) - 9 = -3(4) + 14 - 9 = -12 + 14 - 9 = 2 - 9 = -7.
Therefore, the remainder when 2 is substituted into the polynomial -3x² + 7x - 9 is -7.
What is the approximate volume of a cylinder with a radius of 4 ft and a height of 15 feet
Answer:
754 ft^3
Step-by-step explanation:
r=4
h=15
v=pi(r^2)h
754 ft ^3 is the answer to your question
If a 12 pound turkey takes 4 hours to cook, how long will it take for a 14 pound turkey to cook
It will take the turkey 2 hours to cook
Answer:
if a 12 pound turkey takes 4 hours a 14 pound turkey would take around 6 hours
Step-by-step explanation:
If the graph f(x)= 9x^2+37x+41/3x+5 has an oblique asymptote at y=3x+k what is the value of k
The value of k in the equation f(x) = (9x^2 + 37x + 41) / (3x + 5) with an oblique asymptote at y = 3x + k is k = 41.
To find the value of k in the equation f(x) = (9x^2 + 37x + 41) / (3x + 5), where f(x) has an oblique asymptote at y = 3x + k, we need to determine the relationship between the numerator and denominator as x approaches infinity.
To do this, we can perform polynomial division. Divide the numerator (9x^2 + 37x + 41) by the denominator (3x + 5). The result should give us the oblique asymptote equation y = 3x + k.
Performing polynomial division:
3x + 5 ) 9x^2 + 37x + 41
- (9x^2 + 15x)
----------------------
22x + 41
The result of the division is 22x + 41.
Therefore, the oblique asymptote equation y = 3x + k becomes y = 22x + 41.
Comparing this equation to y = 3x + k, we can see that the value of k is 41.
So, the value of k in the equation f(x) = (9x^2 + 37x + 41) / (3x + 5) with an oblique asymptote at y = 3x + k is k = 41.
I’m lost helpppp plssss
Answer:
C) (25, -16), r = 10
Step-by-step explanation:
The equation of a circle: (x - w)² + (y - h)² = r², where (w, h) is the coordinate of the center, and r is the radius of the circle.
w = 25, h = -16, r = √100 = 10
So, the coordinate is (25, -16), and the radius is 10 units.
Answer:
C
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x - 25)² + (y + 16)² = 100 ← is in standard form
with (h, k) = (25, - 16) ← centre and r = [tex]\sqrt{100}[/tex] = 10
Chuck can afford a $490-per-month car payment, and he's interested in either
a convertible, which costs $28,700, or a sports car, which costs $29,200. If he
is being offered a 6-year car loan with an APR of 6%, compounded monthly
which car can Chuck afford?
A. Chuck can afford the sports car but not the convertible
B. Chuck can afford neither the convertible nor the sports car
C. Chuck can afford the convertible but not the sports car
D. Chuck can afford both the convertible and the sports car
Answer:
Option D is correct.
Step-by-step explanation:
EMI formula is :
[tex]\frac{p*r*(1+r)^{n} }{(1+r)^{n}-1 }[/tex]
Calculation for convertible car:
p = $28700
r = 6/12/100=0.005
n = [tex]6\times12=72[/tex] months
Putting the values in formula we get
[tex]\frac{28700*0.005(1.005)^{72} }{(1.005)^{72}-1 }[/tex]
= $475.67
Calculation for sports car:
p = 29200
r = 6/12/100=0.005
n = [tex]6\times12=72[/tex] months
Putting the values in formula we get
[tex]\frac{29200*0.005(1.005)^{72} }{(1.005)^{72}-1 }[/tex]
= $483.96
We can see that in both cases the EMI is below $490.
As Chuck can afford a $490-per-month car payment. So, he can afford both cars. (one car out of both)
Therefore, option D is correct. Chuck can afford both the convertible and the sports car.
A rectangle has a width of 20 m and an area of 60 m. What is the length of the rectangle? A rectangle has an area of 36mm2. All of the sides are the same length. What is the length of a single side?
Answer: 1: 3mm
Answer:2: A rectangle with 4 congruent sides is a square.
A = s^2
s^2 = A
s^2 = 36 mm^2
s = sqrt(36 mm^2)
s = 6 mm
Step-by-step explanation:
Part A. The length of the rectangle is 3 m.
Part B. The length of the single side of the rectangle or square is 6 mm.
Area of RectangleThe area of a rectangle is defined as the total surface area obtained by multiplying its length and width.
Part A
Given that the area of a rectangle is 60 square meters and the width of the rectangle is 20 m. The length of the rectangle will be given below.
[tex]a = l\times w[/tex]
Where a is the area of the rectangle, l is the length and w is the width of the rectangle.
[tex]60 = l\times 20[/tex]
[tex]l = \dfrac {60}{20}[/tex]
[tex]l = 3\;\rm m[/tex]
Thus the length of the rectangle is 3 m.
Part B.
A rectangle has equal sides and area of 36 square mm. Thus the rectangle will be a sqaure. The area of the square is the product of 2 sides.
[tex]a = s^2[/tex]
Where a is the area of the square and s is the side of the square.
[tex]36 = s^2[/tex]
[tex]s = \sqrt{36}[/tex]
[tex]s = 6 \;\rm mm[/tex]
Hence the length of the single side of the rectangle or square is 6 mm.
To know more about the area of a rectangle, follow the link given below.
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The sum of two binomials and the other one
Answer:
2x² - 4x
Step-by-step explanation:
Subtract the known binomial from the sum to obtain the other binomial
5x² - 6x - (3x² - 2x)
= 5x² - 6x - 3x² + 2x
= 2x² - 4x ← the other binomial
Describe the overall shape of this distribution. Explain your answer.
Answer:
Step-by-step explanation:
This distribution is "unimodal" and "skewed right."
Answer:
Yoooo, I think we go to the same school! And the other person is correct
Step-by-step explanation:
30 POINTS AVAILABLE
For circle K and circle L, Segment J M is a common internal tangent. If JK = 3, LM = 9 and JM = 20, find KL. Show all work.
Answer:
Step-by-step explanation:
Triangles JKN MLN are similar.
There is a right angle at J and M. <JNK and <MNL are vertically opposite. By AA the triangles are similar.
Find JN
JK = 3
LM = 9
JK/LM = JN/(20 - JN)
3/9 = JN/(20 - JN)
1/3 = JN/(20 - JN)
20 - JN = 3JN
20 = 4JN
JN = 5
NM = 20 - 5
NM = 15
Find KN
KN^2 = JN^2 + JK^2
JK = 3
JN = 5
KN = ?
KN^2 = JK^2 + JN^2
KN^2 = 3^2 + 5^2
KN^2 = 34
KN = sqrt(34)
=============
Find LN
LN = ?
MN = 15
LM = 9
LN = sqrt(15^2 + 9^2)
LN = sqrt(306)
LN = 3*sqrt(34)
Find LK
LK = sqrt(34) + 3sqrt(34)
LK = 4 sqrt(34)
What is the place value of the 5 in 6.857 ?
Answer: Hm i'm pretty sure that is hunderdths...
Step-by-step explanation:
The place value of 5 in 6.857 is (1/100)th
What is the place value of a number?A digit's numerical value as a result of its position in a number.
What are the place values in decimals?1st decimal place - (1/10)th
2nd decimal place - (1/100)th
3rd decimal place - (1/1000)th
In 6.857, 5 is lying at the second decimal position, hence has the place value of (1/100)th .
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If after a 7% tax and a 25% tip, the cost of a $115 dinner will be split among four people, how much does each person owe? Round your answer to the nearest cent.
Which line is represented by the function f(x)=3x+5?
Answer:
Line x is represented by the function f(x)=3x + 5
Step-by-step explanation:
f(x)=3x+5; y -intercept = 5
When x = 0, y = 3(0) + 5 = 5
When x = - 2, y = 3(-2) + 5 = -1
So the coordinate points (0,5) and (-2, 1)
Look at the second line (x), it has the y-intercept at 5 and matching those 2 coordinate points above.
So answer is the second line (x)
Hello there! It is the second line, line X.
The equation asks which line is represented by the given equation, f(x)=3x+5. Well, since the equation is in y-intercept form, y = mx + b, we know m is the slope, so the slope is 3, and b is the y intercept, so they intercept is 5.
If any of the lines on the graph intersect at (0,5), or through the y axis at 5, they have a y intercept of 5 and could potentially be the correct answer. There is only one lune that does this, line x, making this the answer.
I hope this was helpful and have a great rest of your day!
What is the domain of the function f(x) = 4x-16 ?
The domain is x-values that work in the equation, and in this case, the domain is all real numbers, as any number you put in will give you a number back out.
Answer:
All real numbers
Step-by-step explanation:
The domain is every value you can put in for x, and since you are able to put in any real number, the domain is all real numbers.