The volume of each cup shown above are as follows;
Volume of small cup = 50.24 in³.
Volume of medium cup = 127.56 in³.
Volume of large cup = 226.08 in³.
How to calculate the volume of a cylinder?In Mathematics and Geometry, the volume of a cylinder can be calculated by using this formula:
Volume of a cylinder, V = πr²h
Where:
V represents the volume of a cylinder.h represents the height of a cylinder.r represents the radius of a cylinder.By substituting the parameters, we have:
Volume of small cylinder, V = 3.14 × 2² × 4
Volume of small cylinder, V = 50.24 in³.
Volume of medium cylinder, V = 3.14 × 2.5² × 6.5
Volume of medium cylinder, V = 127.56 in³.
Volume of large cylinder, V = 3.14 × (6/2)² × 8
Volume of large cylinder, V = 226.08 in³.
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Given the equations of two lines, describe how to determine if the lines are parallel.
Hi! To determine if two lines are parallel given their equations, follow these steps:
1. Identify the slopes of the lines from their equations.
If the equations are in the slope-intercept form (y = mx + b), the slope is the coefficient of x (m). If the equations are in standard form (Ax + By = C), you can find the slope by rearranging the equation to the slope-intercept form.
2. Compare the slopes of both lines. If the slopes are equal, the lines are parallel.
In summary, given their math equations, you need to describe their slopes and check if they are equal to determine if the lines are parallel.
Hi to confirm that two lines are parallel lines given their equation you the gradient which is the value of x in the equation y=mx + c. Where m is the gradient
100 POINTS
Question:
read the paragraph and then you’d have all the information that you need
Answer:
First braclets coast 3$ and necklaces coast 6$ so now in the box you can put 3in the first one then 6 in the next and keep going its like multiples of 3 and 6 :) Hope this helps.
Step-by-step explanation:
Are low elevation, high precipitation areas close or far from the ocean.
Answer:
low lying areas
A vehicle use 2 gallons of gasoline to travel 18 1⁄2 miles. At this rate, how many miles can 2 3 the vehicle travel per gallon of gasoline?
If a vehicle uses 2 gallons of gasoline to travel 18¹/₂ miles, at this rate, the vehicle can travel 9¹/₄ miles per gallon of gasoline.
What is the rate?The rate refers to the average speed of the vehicle.
The rate also describes the unit rate or the rate expressed as a percentage or in terms of speed.
The number of gallons of gasoline used to travel 18¹/₂ miles = 2 gallons
The total distance traveled using two gallons of gasoline = 18¹/₂ miles
The average distance traveled per gallon of gasoline = 9¹/₄ miles (18¹/₂ ÷ 2)
Thus, on the average, the vehicle can travel 9¹/₄ miles miles per gallon of gasoline.
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Correct Question:A vehicle uses 2 gallons of gasoline to travel 18 1⁄2 miles. At this rate, how many miles can the vehicle travel per gallon of gasoline?
Suppose that the function g is defined, for all real numbers, as follows.
The graph of the piecewise function is given by the image presented at the end of the answer.
What is a piece-wise function?A piece-wise function is a function that has different definitions, depending on the input of the function.
All the three definitions of the function in this problem are constant, hence the graph will be composed by horizontal lines.
The definitions are given as follows:
y = 2 to the left of x = 0.y = -1 at x = 0.y = -3 to the right of x = 0.More can be learned about piece-wise functions at brainly.com/question/19358926
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ERROR ANALYSIS Describe and correct the error in finding the area of sector XZY when the area of
OZ is 255 square feet.
X
W
Z
X
115°
Let n be the area
of sector XZY.
115
255
n≈ 162.35 ft²
n
360
=
The wrong formula was used. The correct method is: area of sector = 115/360 * 255 ≈ 81.46 square feet.
How to Find the Area of a Sector?The area of a sector is calculated by using the formula:
Area of sector = ∅/360 * πr², where:
r is the radius of the circle
∅ is the central angle measure.
The error made was that a wrong method/formula was used in finding the area of sector.
Given the following:
Area of circle = 255 square feet (πr²)
∅ = 115°
Note that πr² represents the area of a circle, therefore, substituting the values into the formula, we have:
Area of sector = 115/360 * 255
Area of sector ≈ 81.46 square feet
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Find the principal needed now to get the given amount; that is, find the present value.
To get $100 after 3 years at 9% compounded quarterly
The present value of $100 is $
(Round to the nearest cent as needed.)
The present value of $100 to be received after 3 years at 9% compounded quarterly is $73.67.
The formula for the present value of a future amount under quarterly compounding is:
PV = FV / (1 + r/4)⁴ⁿ
where PV is the present value,
FV is the future value, r is the interest rate per year, and n is the number of years.
In this case, FV = $100, r = 0.09 (9%), n = 3 years, and the interest is compounded quarterly
so the interest rate per quarter is r/4 = 0.0225.
Plugging these values into the formula, we get:
PV = $100 / (1 + 0.0225)¹² = $73.67
Therefore, the present value of $100 to be received after 3 years at 9% compounded quarterly is $73.67.
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Please help discrete math question.
The number of ways you can tile your walkway if you choose single tiles and double tiles is 3,992,781,803 ways.
How to find the number of ways ?To tile a 1x20 walkway using red, blue, and yellow single tiles (1x1) and green and white double tiles (1x2), we can consider the number of ways to combine the single and double tiles to fill the entire 1x20 space.
The exact number of ways to tile the 1x20 walkway using red, blue, and yellow single tiles and green and white double tiles:
= 3^20 + 3^18 x 2 + 3^16 x 4 + 3^14 x 8 + 3^12 x 16 + 3^10 x 32 + 3^8 x 64 + 3^6 x 128 + 3^4 x 256 + 3^2 x 512 + 1, 024
= 3486784401 + 258280326 + 172186884 + 38263752 + 8503056 + 1889568 + 419904 + 93456 + 20736 + 4608 + 1024
= 3,992,781,803 ways
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Suppose that the function f is defined as follows.
Answer:
Step-by-step explanation:
El perímetro de un campo rectangular es 300 m . Si la longitud del campo es 88 , ¿cuál es su anchura?
Based on the above, the width of the field is 62 meters.
What is the width?Based on the question, Let's say that the width of the field is denoted with 'w'.
Note that the formula for the perimeter (P) of a rectangle is:
P = 2(l + w)
where"
l = length
w = width.
Fixing the values into the equation, it will be:
300 = 2(88 + w)
So, Divide both sides by 2:
150 = 88 + w
Subtract 88 from both sides:
w = 150 - 88
w = 62
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Se text below
The perimeter of a rectangular field is 300 m. If the length of the field is 88 , what is its width?
Factor the polynomial, if possible. Check your answer using foil.
y² + 49
Answer:
its prime
Step-by-step explanation:
it can not be factored using foil
Lines and Angles
10) In the figure below BD is the perpendicular bisector of AC. Find the value of x.
3(2x-8)
4425
Enter your answer in the box.
x=
The value of x if the line BD is the perpendicular bisector of AC is 11.5
Calculating the value of xFrom the question, we have the following parameters that can be used in our computation:
The figure where the line BD is the perpendicular bisector of AC.
To calculate the value of x, we use the following equation by setting the line segments equal to each other
3(2x - 8) = 45
Divide both sides of the above equation by 3
2x - 8 = 15
So, we have the following equation
2x = 23
Divide both sides of the above equation by 2
x = 11.5
Hence, the calculated value of x is 11.5
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Element X decays radioactivity with a half-life in 10 minutes if there are 660 g of element X how long to the nearest 10th of a minute would it take for the element to decay to 58 g
Step-by-step explanation:
58 g = 660 g * ( 1/2)^n
58 / 660 = (1/2) ^n LOG both sides
-1.056 = n log 1/2
n = 3.508 half lives
3. 508 x 10 min = ~ 35.1 min
[tex]\textit{Amount for Exponential Decay using Half-Life} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{current amount}\dotfill & 58\\ P=\textit{initial amount}\dotfill &660\\ t=minutes\dotfill &t\\ h=\textit{half-life}\dotfill &10 \end{cases} \\\\\\ 58 = 660\left( \cfrac{1}{2} \right)^{\frac{t}{10}} \implies \cfrac{58}{660}=\left( \cfrac{1}{2} \right)^{\frac{t}{10}}\implies \cfrac{29}{330}=\left( \cfrac{1}{2} \right)^{\frac{1}{10}\cdot t}[/tex]
[tex]\log\left( \cfrac{29}{330} \right)=\log\left[ \left( \cfrac{1}{2} \right)^{\frac{1}{10}\cdot t} \right]\implies \log\left( \cfrac{29}{330} \right)=t\log\left[ \left( \cfrac{1}{2} \right)^{\frac{1}{10}} \right] \\\\\\ \cfrac{ ~~ \log\left( \frac{29}{330} \right) ~~ }{\log\left[ \left( \frac{1}{2} \right)^{\frac{1}{10}} \right]}=t\implies 35.1\approx t[/tex]
a train will travel 300 kilometers at a constant rate. write an equation that represents the trains rate in kilometers per hour (r) based on how mant hours the trip takes (t).
Answer:
distance = rate x time
where distance is 300 kilometers and time is t hours. Rearranging this formula to solve for rate, we get:
rate = distance / time
Substituting the given values, we get:
r = 300 / t
Therefore, the equation that represents the train's rate in kilometers per hour based on how many hours the trip takes is r = 300/t.
Step-by-step explanation:
The population of a small town of 29,000 people is expected to grow exponentially at a rate of 1.9% per year. Estimate the population in 2 years' time.
Answer:
Step-by-step explanation:
Confusing Calculus Parametric Equations Question
Rounding to the nearest meter, we get that the bullet will hit the ground 18603 meters away from the gun.
what is acceleration?The rate at which an object's velocity varies with respect to time is known as its acceleration. It is a vector quantity whose definition is the product of the velocity change and the time period during which the change takes place. Depending on the direction and size of the velocity change, acceleration may be positive, negative, or zero. Acceleration in physics is frequently represented by the letter "a," and its SI unit is metres per second squared (m/s2).
To find when the bullet will hit the ground, we need to find the time at which y = 0.
y = vo sin(a) t - (1/2)g[tex]t^2[/tex], where g is the acceleration due to gravity (9.8 m/s^2).
Setting y = 0, we get:
0 = vo sin(a) t - (1/2)g[tex]t^2[/tex]
Solving for t using the quadratic formula, we get:
Since we want the time when the bullet hits the ground, we take the positive root:
t = (vo sin(a) + √((vo sin(a))^2 + 2gy)) / g
Plugging in the values given, we get:
t = (550 m/s * sin(a) + √((550 m/s * sin(a))^2 + 2 * 9.8 m/s^2 * 0)) / 9.8 m/s^2
Simplifying, we get:
t = (550 m/s * sin(a)) / 9.8 m/s^2
t = 35.27 seconds (rounded to two decimal places)
To find how far from the gun the bullet will hit the ground, we need to find the value of x at this time:
x = vo cos(a) t
Plugging in the values given, we get:
x = 550 m/s * cos(a) * 35.27 s
x = 18602.57 meters
Rounding to the nearest meter, we get that the bullet will hit the ground 18603 meters away from the gun.
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Ocarolyn and Abby
went camping and
caught a total of a fish.
How many fish
weighed 8 1/4 pounds
or less?
XX
XX
X X
x+
XX-
X
8 8
8
8 9
Weight of Fish in Pounds
1
During an experiment, 2 mL of solution evaporates from a beaker each minute. After 5 minutes, there are 50.25 ml of the solution remaining. Write an equation in slope-intercept form that represents the amount of solution y in the beaker x minutes after the start of the experiment.
An equation in slope-intercept form that represents the amount of solution y in the beaker x minutes after the start of the experiment is y = 9.65x + 2.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical expression:
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.First of all, we would find the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (50.25 - 2)/(5 - 0)
Slope (m) = 48.25/5
Slope (m) = 9.65.
At data point (0, 2) and a slope of 9.65, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 2 = 9.65(x - 0)
y = 9.65x + 2
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Find x. Simplify completely.
X
8
C
17
x = [?] √ [
Enter the number that belongs in the green box.
Enter
Answer:
17/x = x/8
x^2 = 136, so x = 2√34
Find the perimeter of each figure
Answer: 53 ft
Step-by-step explanation:
The perimeter of a polygon is the sum of all sides. In this example, the sides are 4 ft, 20 ft, 18 ft, and 11 ft, so the perimeter is
4+20+18+11=53 ft
Which expression is equivalent to (4.3x + 4)(−1.8x)?
A. −4.14x2 + 0.08x
B. −7.74x2 − 7.2
C. −7.74x2 − 7.2x
D. −7.74x2 + 7.2x
The expression that is equivalent to (4.3x + 4)(−1.8x) is -7.74x² -7.2x (optionC)
What is equivalent of expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value.
For example, 2a+6 is equivalent to 2(a+3) and will surely have thesame value when a value is substituted for a.
Similar (4.3x + 4)(−1.8x) can be simplified by multiplying -1.8x with both 4.3x and 4
= -7.74x²-7.2x
therefore the equivalent of (4.3x + 4)(−1.8x) is -7.74x²-7.2x.
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Please help will mark Brainly
Solve the following equation by completing square 15x^2-2ax=a^2
Answer:
Step-by-step explanation:
Answer: x=a/3 x=a/5
Step-by-step explanation:
15x²-2ax = a² subtract a² from both sides
15x²- 2ax - a² = 0
You would solve this like you would any quadratic. Factor.
Start my multiplying the first and last coefficients
15(-a²) = -15a² =>find 2 numbers that multiply to this but add to middle
term (-2a)
-5a and +3a multiply to -15a² and adds to -2a
Substitute the middle term with the numbers we just found, keeping the x
15x²- 2ax - a² = 0
15x²- 5ax+3ax - a² = 0 > group the first 2 terms and last 2
(15x²- 5ax)(+3ax - a²)= 0 > this is not your factors, you need to take
GCF out of each grouping
5x(3x-a)+a(3x-a)=0 >if the parenthesis is same, you did good
now the parenthesis is your GCF and one of
your factors, whatever is left is your other
factor
(3x-a)(5x-a)=0 > set each factor = 0 and solve for x
(3x-a)=0 and (5x-a)=0
x=a/3 x=a/5
5.
Andre is playing a new card game. This game uses 4 sets of cards:
green, blue, yellow, and red. Each set has 15 cards numbered from
1 to 15. Select all of the actions that have more than 4 possible
outcomes. 7.SP.8, 7.SP.8b
0
selecting a blue card less than 5
selecting a red card greater than 13
selecting a yellow 12 card
selecting an 8 or 9 card of any color
selecting an even-numbered green card greater than 4
selecting a yellow card greater than 4²
selecting a blue card that is a multiple of 3
The actions that have more than 4 possible outcomes are:
- Selecting an 8 or 9 card of any color (each set has 2 cards for a total of 8 possible outcomes)
- Selecting a yellow card greater than 4² (there are 7 yellow cards that meet this criteria)
- Selecting a blue card that is a multiple of 3 (there are 5 blue cards that meet this criteria)
Therefore, only three of the given actions have more than 4 possible outcomes.
7
35cm
42cm
X =
6cm
cm
N
HELP ME FAST GUYS!! Asap
The value of x in the polygon is 5 centimetres.
How to find the side of similar polygon?A polygon is a two-dimensional geometric figure that has a particular number of sides.
Two polygons are similar if their corresponding angles are congruent and the corresponding sides have a constant ratio .
Therefore, using the ratio of the similar polygon, let's find the value of x as follows:
35 / x = 42 / 6
cross multiply
35 × 6 = 42x
210 = 42x
divide both sides of the equation by 42
x = 210 / 42
x = 5 cm
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A number rounded to the nearest thousand is 47,000 which number could be the number that was rounded
Answer:
Anything greater than or equal to 46,500, and less than or equal to 47,499 could be the answer.
For example, a number, let's say 46,589 falls within that range and may have been the number that was rounded.
what is the sum of 14, 12, 8, and 6
Answer:
Step-by-step explanation:
14+12 = 26+8 = 34 + 6 is 40
the answer is 40.
Answer:
[tex]2\sqrt{10[/tex]
Step-by-step explanation:
Add all the numbers together on your calculator
There are 6 bottles of water.
Each bottle is 1/2 full. If you
were to combine all the
water, how many full bottles
of water would there be?
Answer:3
Step-by-step explanation: 1/2 X 6 = 3
Answer:
6 x 1/2 = 3 full bottles
Step-by-step explanation:
i need an answer for this with explanation
Answer: 76
Step-by-step explanation:
The surface area is all of the area faces added together
The blue is 5*4 but I have 2 of those faces so I multiply by 2
(5*4*2)=40
The red is 4*2 but I have 2 of those faces so I multiply by 2
(4*2*2)=16
The green is 5*2 but I have 2 of those faces so I multiply by 2
(5*2*2)=20
Add those together
A=40+16+20=76
7. The towns of Washington, Franklin, and Springfield are
connected by straight roads. The towns wish to build an
airport to be shared by all of them.
a. Where should they build the airport if they want it to be the same distance from
each town's center? Describe how to find the precise location.
b. Where should they build the airport if they want it to be the same distance from
each of the roads connecting the towns? Describe how to find the precise
location.
They should build the airport at the
They should build the airport at the
n be found by locating the intersection of at least
which can be found by locating the intersection of a
a circumcenter
medians