Answers
Step-by-step explanation:
For the first term
[tex]\Rightarrow \dfrac{6}{5}=\dfrac{5+1}{5}\\\\\Rightarrow 5+\dfrac{1}{5}=5\dfrac{1}{5}[/tex]
(b)
[tex]\Rightarrow \dfrac{11}{7}=\dfrac{7+4}{7}\\\\\Rightarrow 1+\dfrac{4}{7}=7\dfrac{4}{7}[/tex]
(c)
[tex]\Rightarrow \dfrac{21}{4}=\dfrac{20+1}{4}\\\\\Rightarrow 5+\dfrac{1}{4}=5\dfrac{1}{4}[/tex]
(d)
[tex]\Rightarrow \dfrac{32}{7}=\dfrac{28+4}{7}\\\\\Rightarrow 4+\dfrac{4}{7}=4\dfrac{4}{7}[/tex]
(e)
[tex]\Rightarrow \dfrac{24}{9}=\dfrac{18+6}{9}\\\\\Rightarrow 2+\dfrac{6}{9}=2\dfrac{6}{9}[/tex]
(f)
[tex]\Rightarrow \dfrac{25}{6}=\dfrac{24+1}{6}\\\\\Rightarrow 4+\dfrac{1}{6}=4\dfrac{1}{6}[/tex]
Related Questions
A system of equations is shown below
4x + 2y = 10
2x - 2y = 8
What is the value of x in the solution to the system?
Answers
4x - 2 (-x + 12) = 36
4x + 2x - 24 = 36
6x = 60
x= 10
The total cost (in dollars) of manufacturing x auto body frames is C(x)=40,000+500x. (A) Find the average cost per unit if 200 frames are produced. (B) Find the marginal average cost at a production level of 500 units. (C) Use the results from parts (A) and (B) to estimate the average cost per frame if 501 frames are produced.
Answers
The marginal average cost is -1 and The marginal average cost for 200 is $699.
What is marginal cost?The price to manufacture a second unit of output is known as the marginal cost. Since marginal cost aids in determining the level of production that is the most effective for a manufacturing process, it is a crucial topic in cost accounting. It is estimated by estimating the costs incurred even if just one more unit is produced.
Given The total cost (in dollars) of manufacturing x auto body frames is C(x)=40,000+500x.
Average cost = Cx / x
Average cost = (40,000 + 500x)/ x
For x = 200
Average cost = (40,000 + 500 * 200)/200
Average cost = 700$ per frame
Marginal average cost = d(Cx/x)/dx
d(Cx/x)/dx = -40,000/ x^2
at x = 200
Marginal average cost = -40,000/ 200^2 = -1
Marginal average cost = -1 tells us the average cost
decrease at the rate of -1 for every x
Average cost for 200 = 700$ per frame
Average cost for 200 = 700 + 1 (-1)
The average cost for 200 = 700 -1 = 699$
therefore, the Marginal average cost for 200 is $699.
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Sam bought 2 shirts. Deal A shirt was $20 and was on
sale for 10%. Deal B shirt was $ 22 dollars and was on sale for 16%. What was a better deal
was a better deal? hint: figure out the discount and the cost of each shirt
using the "What is..." question. Compare the cost of each shirt.
Answers
Answer:
Deal A was the better deal.
Step-by-step explanation:
20*.10= 2 dollar discount for a total of 20-2= $18 total
22*.16= 3.52 dollar discount for a total of 22-3.52 =$18.48
Even though deal B had the larger discount you will still be paying a bit more compared to deal A
The radius of a circle is 3 centimeters. What is the circle's circumference?
r=3 cm
Use 3.14 for a TT
Answers
3*6.28=18.84
At a cell phone assembly plant, 82% of the cell phone keypads pass inspection. A random sample of 101 keypads is analyzed. Find the probability that the proportion of the sample keypads that pass inspection is between 0.75 and 0.87.
Answers
The z-score for the 0.75 proportion is -1.95.
What is z-score?The Z-score calculates the deviation of the measure from the mean in standard deviations. We seek for the p-value linked with this Z-score after locating the Z-score in the z-score database.
The likelihood that the value of the measure will be less than X, or the percentile of X, is represented by this p-value. The likelihood that the value of the measure is greater than X is obtained by deducting 1 from the p-value.
In a set with mean X and standard deviation μ, the z score of a measure X is given by:
Z=(X-μ)/σ
In this problem, we have that:
n=100,p=0.82
So,μ=E(X)=np=100×0.82=82
Therefore, √V(X)=√np×(1-p)=√100×0.82×0.18=3.841
For Finding the probability that less than 75 in the sample keypads pass inspection.
Using continuity correction, this is (P(75-0.5)<=P(74.5)), which is the p-value of Z when X = 74.5.
=>z= (74.5-82)/3.841
=>z= - 7.5/3.841
=>z= - 1.95 has a p-value to 0.
Hence, if a random sample of 100 keypads is analyzed and 75 pass inspection, then the z-score for 0.75 proportion is -1.95
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Find the sketch the domain of the function f(x,y,z) = ln(144 - 9x² - 16y² - z²)
Answers
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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HELP ME ANSWER IS QUESTION
Answers
Answer:
A is linear
Step-by-step explanation:
check the delta y (y2 - y1) and or the delat x (x2 - x1) and see if the differences are the same from each neighboring ordered pairs
answer A has a slope (m) of (y2 - y1) / (x2 - x1) = 2/2 = 1
graph f and h , write h in terms of f, describe the transformation from the graph of f to the graph of h .
the equation :
f(x) = 2x ; h(x) = -2x
Answers
Divide or multiply the output by a constant to expand or contract the graph in the y direction.
What does f 2x do to a graph?
2f (x) is stretched by a factor of 2 in the y direction, and f (x) is contracted by a factor of 2 in the y direction (or stretched by a factor of ).
The y = f (x), y = 2f (x), and y = x graphs are shown here.
This is the difference quotient:
f (x + h) - f(x ) /h
quotient of difference
and f(x) = x3; thus, the difference quotient for this function is
(x + h)³ - x³ / h
quotient of difference.
The numerator can now be simplified by expanding (x + h)3 as (x + h)2(x + h), however I advise factoring (x + h)3 - x3 as a difference of cubes.
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Constant of Variation
State the relationship between the graphs of f(x) and g(x)
f(x) = -4/x, g(x) = 4/x
a. f and g are reflections of each other about the line y = x
b. f and g are reflections of each other about the x-axis.
c. g is shifted to the left 4 units relative to f, otherwise they are the same.
d. g is shifted to the right 4 units relative to f, otherwise they are the same.
Please select the best answer from the choices provided
Answers
Answer:
B. f and g are reflections of each other about the x-axis.
Step-by-step explanation:
I calculated it logically
Round 0.295833333 to the nearest hundredth
Answers
Answer:
The answer is 0.30.
I wish you luck in your assignments.
Answer:
0.3
Step-by-step explanation:
Since 5 rounds up, that would cause the 0.09 to become a 0.1, so it would be 0.3
Can anyone help me please?
Answers
Answer:
x ≈ 8.5 cm
Step-by-step explanation:
Law of Sines
a/sinA = b/sinB
---------------------------
x/sin89 = 8/sin70
multiply both sides by sin89
x = 8/sin70 * sin89
Breakout the calculator
x = 8.512125544373626
x ≈ 8.5 cm
5+1r-2=9
Please explain step by step
Answers
Answer: 6
Step-by-step explanation:
Given f(x)+3f(-x) = 2x+6, find f(x)
Answers
The function f(x) = -x-3.
What is a function?A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.
Given function:
f(x)+3f(-x) = 2x+6.
Let the function is an even function.
So, f(-x) = f(x)
To solve for f(x):
Substituting the property of an even function,
f(x) - 3f(x) = 2x + 6
-2f(x) = 2x + 6
f(x) = -x-3
Therefore, f(x) = -x-3 is the function.
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Find the sum of the interior angles. please I need help!!
Answers
Given:
A 7-sides regular polygon.
To find:
The sum of the interior angles of the given regular polygon.
Solution:
The formula for the sum of the interior angles of a regular polygon is:
[tex]Sum=180^\circ(n-2)[/tex]
Where, n is the number of sides of the regular polygon.
The given regular polygon has 7 sides. Putting [tex]n=7[/tex] in the above formula, we get
[tex]Sum=180^\circ(7-2)[/tex]
[tex]Sum=180^\circ(5)[/tex]
[tex]Sum=900^\circ[/tex]
Therefore, the sum of the interior angles of the given regular polygon is 900 degrees.
please help find mDF!!
Answers
9514 1404 393
Answer:
72°
Step-by-step explanation:
The external angle E is half the difference of subtended arcs CG and DF.
E = (CG -DF)/2
2E = CG -DF . . . . . . multiply by 2
DF = CG -2E = 160° -2(44°) . . . . . add DF-2E to both sides; substitute values
arc DF = 72°
Which ordered pair is a solution to the inequality
y ≥ 4x-5
(3,0) (3,4) (1,1) (2,1)
Answers
Answer:
(1, 1)
Step-by-step explanation:
in the order pair you have (x, y) so if is ( 3, 0) it means is ( x=3, y=0)
substitute in the inequality those x, and y values and see if it checks
y ≥ 4x-5
for ( 3, 0) is 0 ≥ 4*3-5 false
for ( 3,4) is 4 ≥ 4*3-5 false
for (1,1) is 1 ≥ 4*1-5 true because 1 ≥ -1
for (2, 1) is 1 ≥ 4*2-5 false
5. Is 1/4 and 4/16 equivalent? Explain your answer.
Answers
Answer:
Yes, 1/4 and 4/16 are equivalent
Step-by-step explanation:
1/4 = 0.25
4/16 = 0.25
Jordan is making a wreath that uses different colors of ribbon
Answers
Answer:
Step-by-step explanation:
he needs 10 inches of each color to make the wreath
10
+ 10
+ 10
+ 10
= 40
40 inches of ribbon
What is the unit rate for 4543.08 km in 52.4 h?
Answers
The unit rate for 4543.08 km in 52.4 hours is 86.7 km.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
4543.08 km = 52.4 hours
Divide 52.4 into both sides.
86.7 km = 1 hour
Thus,
The unit rate is 86.7 km.
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What's the pattern of 0, 1, 3, 7, 15, 31, 63
Answers
Answer:
a₀ = 0
aₙ = aₙ₋₁ + 2ⁿ⁻¹
Step-by-step explanation:
a₀ = 0
aₙ = aₙ₋₁ + 2ⁿ⁻¹
a₁ = a₀ + 2¹⁻¹ = 0 + 2⁰ = 1
a₂ = 1 + 2²⁻¹ = 3
a₃ = 3 + 2³⁻¹ = 7
..............
A wedding cake was cut into 30 slices. If 12 of the slices were eaten, what fraction represents the eaten portion of the cake? Reduce your answer to lowest terms.
Answers
Answer:
12/30, if you reduce then it would be 2/5 because you divided by 6 hope this helps! :D
Step-by-step explanation:
The fraction that represents the eaten portion of the cake is [tex]\frac{2}{5}[/tex]
Let the wedding cake be W.Let the eaten portion be E.Given the following data:
Total wedding cake slices = 30 slicesNumber of cake slices eaten = 12 slices.To find the fraction that represents the eaten portion of the cake;
In this exercise, you're required to find what fraction represents the eaten portion of the wedding cake.
[tex]Fraction = \frac{E}{W}[/tex]
Substituting the values into the equation, we have;
[tex]Fraction = \frac{12}{30}[/tex]
Dividing both sides by 6, we have;
[tex]Fraction = \frac{2}{5}[/tex]
Therefore, the fraction that represents the eaten portion of the cake is [tex]\frac{2}{5}[/tex]
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In terms of geometric shapes, a slice of pizza closely resembles what?
Answers
Answer:
triangle
Step-by-step explanation:
It looks like a traingle
please please please help fast this is a BIG deal
Answers
Answer:
190.625 ft^2
Step-by-step explanation:
A = bh = (15.25) * (12.5) = 190.625 ft^2
Answer:
190
Step-by-step explanation:
All you have to do is multiply the dimensions(...that's what the formula states)
So, 15.2 × 12.5 = 190ft^2
NEVER FORGET YOUR UNIT, in this case it's ft^2(always 2/square when it's area)
You're very welcome and good luck :)
they are yes and no choices except the one that’s one the pic
helpppp
Answers
Therefore , the solution of he given problem of linear equation comes out to be x = 5.
A linear equation is defined.A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.
Here,
Given : 2x-4=6
To prove x =5
Thus,
We have to find the value of x
[tex]= > 2x =10\\= > x =10/2\\= > x =5[/tex]
Therefore , the solution of he given problem of linear equation comes out to be x = 5.
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Darien uses 3 3/4 cups of flour for each loaf of bread he bakes enter an equation that represents the total number of cups of flower Darien uses, c, to bake n loaves of bread
Answers
Answer:
n=15/4c
Step-by-step explanation:
y=mx+b
b=0 as it does not state any initial value
y=n
x=c
m=3 3/4 or 15/4
combining these together you get:
n=15/4c+0
The equation representing the number of number of cups of flower Darien uses, c, to bake n loaves of bread is [tex]n = 3\frac{3}{4} c[/tex]
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, Darien uses [tex]3\frac{3}{4}[/tex] cups of flour to make one loaf of bread, we need to establish an equation, that will represent the number of cups of flower Darien uses, c, to bake n loaves of bread,
So,
Since, she uses [tex]3\frac{3}{4}[/tex] cups for one loaf of bread so for n loaf =
(We will multiply the amount used in one loaf to the number of loafs needed)
Therefore,
To make n number of loafs = [tex]3\frac{3}{4} c[/tex]
Hence, the equation representing the number of number of cups of flower Darien uses, c, to bake n loaves of bread is [tex]n = 3\frac{3}{4} c[/tex]
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Two regular polygons are inscribed in the same circle where the first has 1,174 sides and the second has 2,935. If the two polygons have at least one vertex in common, how many vertices in total will coincide?
Answers
Answer:
vertices in total will coincide = 1174/2 = 587
Step-by-step explanation:
1st polygon: 1174 sides, 1174 vertex, arc for between 2 vertex= 360°/1174 (arc1)
2nd polygon: 2935 sides, 2935 vertex, arc for between 2 vertex= 360°/2935 (arc2)
360°/1174 = (360°/2935) x (5/2) (every 2.5 arc2 = 1 arc1)
It means every 5 arc2 = 2 arc1, this is the 2nd vertex coincide
vertices in total will coincide = 1174/2 = 587
check: 2935/5 = 587
Simplify the expression. 7x + 6 + 3x -2 -5x
Answers
Answer:
5x+4
Step-by-step explanation:
5x + 6 - 2
5x + 4
Based on the family the graph below belongs to, which equation could represent the graph?
Answers
Answer:
its A
Step-by-step explanation:
just took the test
Answer:
The first graph on edge 2021
please be fast and pick an option
Answers
Answer:
5/14 * 5/14
Step-by-step explanation:
Explain how to find the distance between two integers
using the difference.
х
Answers
Answer:
Find the difference between two integers by adding the additive inverse. The distance is the absolute value of the difference. Check the distance by plotting the original two integers on a number line and counting the units between them
Answer:
Find the difference between two integers by adding the additive inverse. The distance is the absolute value of the difference. Check the distance by plotting the original two integers on a number line and counting the units between them.
Step-by-step explanation:
sample answer