Let's consider the relationship between the circumference and the radius:
⇒ first, consider the equation for finding the circumference
[tex]Circumference = 2\pi *radius[/tex]
Let's consider the known information
Circumference ⇒ 36πLet's plug the known information to find the radius:
[tex]Circumference = 2\pi *radius\\36\pi =2\pi *radius\\radius = 18[/tex]
Thus the radius is 18 cm
Answer: 18 cm
Hope that helps!
-7(6 - 3m) = 26 + 4m
Answer:
4
Step-by-step explanation:
do distributive property first. -7 * 6 and -7 * 3
now you should have -42+21m = 26 + 4m
subtract 4m to the other side 21m-4m=17m
then add 42 to the other side which would give you 68
17m=68
17 divided by 17 =1
68 divided by 17=4
The cost of packing a box of chocolates is given by 1/4x^2, where x is the number of chocolates (a box can never have fewer than 3 chocolates). If the weight of a box of chocolates is given by x + 2, what is the cost of packaging per weight unit?
A.1/4x-1/2+1/x+2
B.1/4x^2-1/2x+1
C.1/4x^2-1/2+1
D.1/4x-1/2x-1/x+2
The cost of packaging the box of chocolates per weight unit is; ¹/₄x²/(x + 2)
How to Solve Algebra problems?We are given the cost of packing the box as;
C(x) = ¹/₄x²
where;
x is the number of chocolates
We are told that a box can never have fewer than 3 chocolates.
Now, the weight of a box of chocolates is given by; W(x) = x + 2
Thus, cost per unit weight is;
C(x)/W(x) = ¹/₄x²/(x + 2)
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The diameter of a cylinder is 4 centimeters. The height is 12 centimeters. Using 3.14 for pi, what is the volume of the cylinder, in cm3 Rounded to the nearest hundredth.
Answer:
V = 150.72 cm³.
Step-by-step explanation:
First, get the volume of a cylinder.
V = πr²h
Where:
π = 3.14 (given)
r = radius (half of diameter, or 2)
h = height (12)
Knowing this, substitute the known values.
V = πr²h
V = (3.14)(2²)(12)
Square 2.
V = (3.14)(4)(12)
Multiply 3.14 and 4.
V = (12.56)(12)
Multiply 12.56 and 12.
V = 150.72.
Since it is already rounded to the nearest hundredth, that is your answer.
What is the value of X in the equation 8X minus 2Y equals 48 when Y equals four
Answer:
It should be 7.
Step-by-step explanation:
If y = 4 multiply 2 by 4 equals eight, then you have 8x-8=48. Do the opposite of subtraction to both sides the 8 cancels on the left side add 8 to 48 you get 56 now all you have to is get x by it self to get that do the opposite of multiplication divide both sides by 8 and you should get 7.
What’s the value of x?
One manufacturer boxes screws so that each box weighs the same no matter what size the screws are. The graph shows the amount of allowed weight remaining in a given shipment depending on the number of boxes of screws already included.
What does the y-intercept represent in this situation?
the maximum weight allowed in a shipment
the minimum weight of a single box of screws
the minimum number of screws in a single box
the maximum number of single boxes for a shipment
Because x is the number of boxes in the shipment, we conclude that the correct option is "the maximum weight allowed in a shipment"
What does the y-intercept mean in this case?
Remember that for a function f(x), the y-intercept is given by f(0).
In this case, the graph represents the amount of allowed weight remaining in a shipment depending on the number of boxes of screws included.
Then the variable x represents "the number of boxes of screws in the shipment".
So when x = 0, there are no boxes.
Then the y-intercepts represents the remaining weight when there are no boxes of screws, which would be all the allowed weight on the shipment.
The correct option is:
"the maximum weight allowed in a shipment"
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Answer:
A
Step-by-step explanation:
the maximum weight allowed in a shipment
Simplify the expression.
Show your work.
4 √81m^8n^16
Answer:
hope you can understand
Answer:
3m²n⁴
Step-by-step explanation:
Given :
⇒ [tex]\sqrt[4]{81m^{8}n^{16} }[/tex]
=============================================================
Solving :
⇒ [tex]\sqrt[4]{81}[/tex] × [tex]\sqrt[4]{m^{8} }[/tex] × [tex]\sqrt[4]{n^{16} }[/tex]
⇒ [tex]\sqrt[4]{3^{4} }[/tex] × [tex]\sqrt[4]{(m^{2})^{4} }[/tex] × [tex]\sqrt[4]{(n^{4})^{4} }[/tex]
⇒ 3 × m² × n⁴
⇒ 3m²n⁴
x
Benchmark Assessment - 29/34
Choose two number sentences below that equal 39:
A) 71-32
B) 49 - 20
C) 85-46
D) 50 - 29
. A chef randomly pulls cupcakes from a box containing 6 cupcakes of the same shape and size. There is 1 cupcake with vanilla frosting, 3 cupcakes with chocolate frosting, and 2 cupcakes with pink frosting. He draws 1 cupcake and then draws out another cupcake without replacing the first one. Find the probability of picking 1 cupcake with chocolate frosting followed by another cupcake with chocolate frosting, and show the equation used, and solve it.
Answer:
Step-by-step explanation:
there is a 50/50 chance of getting a chocolate cupcake. :P
A person bought three lots for $22,000 net each and divided them into four lots of equal frontage. The lots were
then sold for $18,000 each. What was the approximate percentage of gross profit?
Answer:
A person bought three lots for $22,000 net each and divided them into four lots of equal frontage. The lots were then sold for $18,000 each. What was the approximate percentage of gross profit? 9%The initial investment was $66,000 (3 lots at $22,000 each).
HELP!!! please this is my last question for my paper
Answer:
[tex]\sqrt{2}[/tex]
Step-by-step explanation:
We can use pytho theorem to find X because its a right triangle, so:
a^2 + b^2 = c^2
plug our numbers
1^2 + 1^2 = x^2
simplify
1+1 = x^2
2=x^2
answer = root2
Please help
Solve for x
The value of x is 5. The correct option is the second option- 5
Proportionality theoremFrom the question, we are to determine the value of x
By the proportionality theorem, we have that
If three or more parallel lines intersect two transversals, then they cut off the transversals proportionally.
Considering the diagram, we can write that
[tex]\frac{12}{28 }= \frac{35-4x}{35}[/tex]
Then, we get
12 × 35 = 28(35-4x)
420 = 980 -112x
112x = 980 - 420
112x = 560
x = 560/ 112
x = 5
Hence, the value of x is 5. The correct option is the second option- 5
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What is the linear function equation represented by the graph? Enter your answer in the box. f(x) =
Answer:
f(x) = -1/2x + 1
Step-by-step explanation:
y intercept is +1
For slope, used points on the graph (2,0) and (0,1)
m= y2-y1/x2-x1
= (1-0)/(0-2)
= -1/2
Convert the decimal or whole number to a percent. 0.32 1/2
Find the width of the river in Figure 20.18 to the nearest metre.
Answer:
~ 6 m
Step-by-step explanation:
For a right triangle
tan = opposite leg / adjacent leg
= height / width of river
tan 15 = 1.6 / width
width = 1.6 / tan 15 = 5.97 m
What percent of your budget of $4000 would your rent be if you pay $800 in rent?
Answer:
20%
Step-by-step explanation:
Take the amount of rent and put it over the total amount of money to find the percent
800/4000 =.2
Change to percent form by multiplying by 100
.2 * 100 = 20%
The means and mean absolute deviations of Sidney’s and Phil’s grades are shown in the table below which expression represents the ratio of the difference of the two means to Sidney’s mean absolute deviation
The ratio of the difference of the two means to Sidney’s mean absolute deviation is; 4/3.28
How to find the Mean Absolute Deviation?From the given table, we see that;
Mean grade of Sidney = 82
Mean grade of Phil = 78.
Mean absolute deviation of Sidney = 3.28
Mean absolute deviation of Phil = 3.96.
The difference between the two means of Sidney and Phil = 82 - 78 = 4.
Thus, the ratio of the difference of the two means to Sidney’s mean absolute deviation is; 4/3.28
Complete Question is;
The means and mean absolute deviations of Sidney’s and Phil’s grades are shown in the table below. Means and Mean Absolute Deviations of Sidney’s and Phil’s Grades Sidney Phil Mean 82 78 Mean Absolute Deviation 3.28 3.96 Which expression represents the ratio of the difference of the two means to Sidney’s mean absolute deviation?
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Which graph shows the solution to the inequality?
Answer:
Option D graph
Step-by-step explanation:
x - 4 ≥ - 1
add 4 to both sides, x - 4 + 4 ≥ - 1 + 4
x ≥ 3
so x is greater than or equal to 3
- equal to means closed dot at 3
- greater than means arrow to the right of 3
The circle passes through the point (−2, 3) with a center of (-4,6). What is its radius?
Answer:
radius = √13
Step-by-step explanation:
Forming the equation :
(x - h)² + (y - k)² = r²
(x, y) = point on circle(h, k) = center of circler = radiusSolving :
(-2 + 4)² + (3 - 6)² = r²r² = 4 + 9radius = √13please help please please
a.0+3
b.3
c.3-4
d.-1
....................
What is the median of the data set?
16, 21, 28, 30, 40, 45, 54, 58
A. 58
Β. 35
C. 10
D. 19
Answer:
I think 10 is the answer it's not sure.
Rosa brought d drawings to an art show. After selling 15 of them, she had 38
left. Identify the equation that represents this situation and the correct
solution.
OA. d-15=38; d = 53
OB. d-15=38; d = 23
C. d+15=38;d=23
OD. d+15=38; d = 53
Answer:
A
Step-by-step explanation:
because
d-15=38
d-15+15=38+15
d=53
2x^-3 y^-2
——————
4xy^5
[tex]~~\dfrac{2x^{-3} y^{-2}}{4xy^5}\\\\\\=\dfrac 12\cdot x^{-3-1} \cdot y^{-2-5}~~~~~~~~~~~~~~~~~~~~~~;\left[\dfrac{a^m}{a^n} = a^{m-n}\right]\\\\\\=\dfrac 12\cdot x^{-4} \cdot y^{-7}\\\\\\=\dfrac{1}{2x^4 y^7}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;\left[k^{-n} = \dfrac 1{k^n},~ k\neq 0\right][/tex]
Find a. (f+ g)(x) b. (f+g)(7).
f(x) = 5x +2, g(x) = 5x – 1
a. (f+g)(x)=
50 POINTS A point in the figure is selected at random. Find the probability that the point will be in the shaded region.
about 70%
about 80%
about 95%
about 67%
The first step that we need to take before attempting to solve the problem is to understand what the problem is asking us to do and what they are giving us to help solve the problem. Looking at the problem statement they are asking for us to determine the probability that a point will randomly be plotted in the shaded region. We are not given much of anything else which means that we will need to use our own numbers.
The picture that was provided has a square with four equal circles inside right next to each other. Therefore, we can say that each side of the square is going to be 2 units which causes the diameter of the circle to be half that or 1 unit. We can go even further and determine that the radius is going to be 0.5 units for each circle. Let's determine the area of all the shapes.
Area of the square
[tex]A_{square} = s^2[/tex][tex]A_{square} = (2\ units)^2[/tex][tex]A_{square} = (2)^2 * (units)^2[/tex][tex]A_{square} = 4\ units^2[/tex]Area of a circle
[tex]A_{circle} = \pi * r^2[/tex][tex]A_{circle} = \pi * (0.5\ units)^2[/tex][tex]A_{circle} = \pi * (0.5)^2 * (units)^2[/tex][tex]A_{circle} = \pi * (0.25\ units)^2[/tex][tex]A_{circle} = 0.7854\ units^2[/tex]The area that we got from the circle only gives us the area for one of the circles so we need to multiply the number by four to give us the total area of the circles.
Total area of the circles
[tex]A_{circles} = 0.7854\ units^2 * 4[/tex][tex]A_{circles} = 3.1416\ units^2[/tex]Now that we determined the area of both the square and the circles we can move onto the part of finding the probability of a point randomly landing on a circle.
Determine the probability
[tex]\textsf{probability = circles / square}[/tex][tex]\textsf{probability = } \frac{3.1416\ units^2}{4\ units^2}[/tex][tex]\textsf{probability = } \frac{3.1416}{4}[/tex][tex]\textsf{probability = } 0.785[/tex]However, now that we have determined what the probability, looking at the answer options we can see that all of the are in percentages. So let's convert our probability into a percentage.
Convert to percentage
[tex]\textsf{probability = } 0.785 * 100[/tex][tex]\textsf{probability = } 78.5\%[/tex]Therefore, looking at the options given, the option that would best fit this choice would be option B, about 80%.
Match each rational expression to its simplest form.
2m2-4m
2(m2)
m2-2m+1
m-1
m-
m
m-1
EE
m
m²-3m +2
m2.
m
m
m
Reset
m²-m-2
m²-1
Next
The first rational expression simplifies to (m - 1).
The second rational expression simplifies to (m - 2) / m.
The third rational expression simplifies to (m - 2) / (m - 1).
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
(m² - 2m + 1) / (m - 1)
(m² - 2m + 1) / (m - 1)
= (m - 1) / 1
= m - 1
The first rational expression simplifies to (m - 1).
(m² - 3m + 2) / (m² - m)
(m² - 3m + 2)
= (m - 1)(m - 2)
(m² - m)
= m(m - 1)
So,
(m² - 3m + 2) / (m² - m)
= (m - 2) / m
The second rational expression simplifies to (m - 2) / m.
(m² - m - 2) / (m² - 1)
(m² - m - 2)
= (m - 2)(m + 1)
(m² - 1)
= (m - 1)(m + 1)
So,
(m² - m - 2) / (m² - 1)
= (m - 2) / (m - 1)
The third rational expression simplifies to (m - 2) / (m - 1).
Thus,
The first rational expression simplifies to (m - 1).
The second rational expression simplifies to (m - 2) / m.
The third rational expression simplifies to (m - 2) / (m - 1).
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The complete question.
Match each rational expression to its simplest form.
(m² - 2m + 1) / (m - 1)
(m² - 3m + 2) / (m² - m)
(m² - m - 2) / (m² - 1)
Options:
(m - 2) / m
(m - 1)
(m - 2) / (m - 1)
Find the slope of the line containing the pair of points.
(2, -9) and (12,6)
Answer:
slope = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, - 9 ) and (x₂, y₂ ) = (12, 6 )
m = [tex]\frac{6-(-9)}{12-2}[/tex] = [tex]\frac{6+9}{10}[/tex] = [tex]\frac{15}{10}[/tex] = [tex]\frac{3}{2}[/tex]
How to find x=?
How to solve step by step
Answer:
230 degrees
Step-by-step explanation:
draw a horizontal line from x and use congruent rule to have a full 360 degree circle. You can now subtract 60 and 70 from 360 degrees leaving you with 230 degrees as x
the cost of a table is 5 times the chair what is the price of chair if the total is 1050
Answer:
the cost of the chair is 175.
Step-by-step explanation:
if the chair is x, the table will be 5x
now,
the equation formed will be,
5x+x = 1050
on solving,
6x= 1050
x= 1050÷6
x= 175
therefore, the cost of the chair will be x= 175.
and the cost of the table will be 5x= 5×175 = 875.
hope it helps!!PLEASE MARK BRAINLIEST ♡How many quarts of pure antifreeze must be added to 2 quarts of a 20% antifreeze solution to obtain a 60% antifreeze solution?
The quantity of pure antifreeze that must be added to 2 quarts of a 20% antifreeze solution to obtain a 60% antifreeze solution 2 quarts
How to solve equation?
x = quarts of 100% antifreeze
You have 2 quarts of 20% antifreeze.
(100%)x + (20%)2 = 60%(x + 2)
100x + 40 = 60(x + 2)
100x + 40 = 60x + 120
100x - 60x = 120 - 40
40x = 80
x = 80/40
x = 2 quarts
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