Volume of the megaphone is 2544.69005 inch^3.
What is volume?Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.
The formula for the volume of a cone is ⅓ r2h cubic units, where r is the radius of the circular base and h is the height of the cone.
megaphone is in the shape of cone so,
diameter of the megaphone= 18 inch
so radius = diameter /2
radius= 18/1
= 9 inch
height of megaphone = 30 inch
so , volume of megaphone
= (pi r^2h)/3
= (3.14 x 9^2 x 30)/3
= 2544.69005
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the freshman class of 63 students conducted a survey to compare how many students took spanish as opposed to french as a foreign language. the results are shown in the venn diagram. how many students studied neither spanish nor french?
With the help of sets we can conclude our answer.
What are sets?Simply put, a set in mathematics is a grouping of different items. Any group of objects, such as a collection of numbers, days of the week, different kinds of cars, etc., can be included in a set. An element of the set is any component of the set. When writing a set, curly brackets are utilized. An extremely basic set would look somewhat like this. Set A = {1,2,3,4,5}. The components of a set can be represented using a variety of notations. set is a well-defined collection of objects. Sets are named and represented using a capital letteracc to our qusetion-
Total students = 50Students taking french = 31Remaining Students= 50 - 31 = 19Students taking none = 10So remaining students have taken only spanish i.e. 19-10 = 9But total no of students taken spanish are 17So the students who had taken both are 17-9 = 8.Leran more about sets click here:
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what is 0.6n = $2.10
Answer: 3.5
Step-by-step explanation:
2.10/0.6=3.5
3.5x0.6=2.10
ple help me pls help me
Answer:
C
Step-by-step explanation:
What is 95 lbs to kg
To convert 95 pounds to kilograms, you need to know the conversion factor between the two units. One kilogram is equal to approximately 2.205 pounds.
When measuring weight, there are different units of measurement that can be used such as pounds (lbs) and kilograms (kg). Pounds (lbs) are commonly used in the imperial system, which is primarily used in the United States, whereas kilograms (kg) are part of the metric system which is widely used in many countries around the world. To convert 95 pounds to kilograms, you would divide 95 by 2.205. So 95 pounds is roughly equal to 43.09 kg.
It's important to keep in mind that when converting measurements, it's important to be precise and use accurate conversion factors. Additionally, it's also important to consider the level of precision required for the task at hand. In general, pounds are mostly used in the US and the UK, while kilograms are primarily used in other countries. And is important to use the right unit of measurement depending on the context of the task or situation.
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Find The Slope Please, I will mark Brainliest!
Please simplify your final answer
Answer:
4
Step-by-step explanation:
It looks like the graph is passing through (5,20)
so on y, from 0 to 20 is 20
on x, from 0 to 5 is 5
so slope = rise/run = 20/5 = 4
Use the given data to find the equation of the regression line. Examine the scatterplot and identify a characteristic of the data that is ignored by the regression line. X y 11 7.31 9 6.56 12 13.36 10 12 7.197.64 14 9.22 5 6.33 4 5.54 13 8.52 8 6.11 5 5.91 Create a scatterplot of the data. Choose the correct graph below. OA OB. OC. O O .............. Lullulilu 5 :50 O CODOO 5f0 OTT 0 5 10 15 20 25 OTT 0 5 10 15 20 25 0 5 10 15 20 25 0 5 10 15 20 25 Find the equation of the regression line. ŷ = + x (Round the constant two decimal places as needed. Round the coefficient to three decimal places as needed.) Identify a characteristic of the data that is ignored by the regression line. O A. The data has a pattern that is not a straight line. OB. There is no trend in the data. OC. There is an influential point that strongly affects the graph of the regression line. OD. There is no characteristic of the data that is ignored by the regression line.
The equation of the regression line is y = 0.430x + 3.59.
A characteristic of the data that is ignored by the regression line is that: A. The data has a pattern that is not a straight line.
How to find an equation of the regression line?In order to determine a linear equation for the regression line (trend line) that models the data points contained in the table, we would have to use a graphing calculator (scatterplot).
In this scenario, the x-values would be plotted on the x-axis of the scatterplot while the y-values would be plotted on the y-axis of the scatterplot.
On the Excel worksheet, you should right click on any of the data point on the scatterplot, select format trend line, and then tick the box to display an equation for the regression line (trend line) on the scatter plot.
By critically observing the scatterplot (see attachment) which models the relationship between the x-values and y-values, a linear equation for the regression line (trend line) is given by:
y = 0.430x + 3.59
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x² + y² +16y + 40 = 8x + 4y; center
To find the center of the given equation, we need to rewrite it in the standard form of a circle equation, which is:
\(\sf\:(x - h)^2 + (y - k)^2 = r^2 \\\)
where (h, k) represents the center coordinates of the circle and r represents the radius.
Given equation:
\(\sf\: x^2 + y^2 + 16y + 40 = 8x + 4y \\\)
Rearranging the terms:
\(\sf\:x^2 - 8x + y^2 + 16y - 4y = -40 \\\)
Completing the square for the x-terms:
\(\sf\: (x^2 - 8x + 16) + y^2 + 12y - 4y = -40 + 16 \\\)
Completing the square for the y-terms:
\(\sf\: (x^2 - 8x + 16) + (y^2 + 12y + 36) = -40 + 16 + 36 \\\)
Simplifying:
\( \sf\:(x - 4)^2 + (y + 6)^2 = 12 \\\)
Comparing this with the standard form, we can see that the center of the circle is at (4, -6).
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Answer: center is 8,5
Step-by-step explanation: i dont have one
Which one is greater 8x10^-5 or 0.000004
What is the speed of a vehicle when it covers a distance of 6Om in 3seconds?
The speed is calculated as distance over time, so:
\(\text{speed}=\frac{\text{distance}}{\text{time}}\)Replacing distance by 60 m and time by 3 seconds, we get:
\(\text{ speed=}\frac{60\text{ m}}{3\text{ seconds}}=20\text{ m/second}\)The speed of the vehicle is 20 m/second
A cylinder with a height of 15 inches and a radius of 8 inches is intersected by a plane that passes through the centers of both bases. What is the area of the cross section?
Answer:
120
Step-by-step explanation:
Can someone help me with this please
Answer: Bladder
Step-by-step explanation:
The walls of the bladder contain very few blood vessels and are lined with guanine crystals, which make them impermeable to gases. By adjusting the gas pressurising organ using the gas gland or oval window the fish can obtain neutral buoyancy and ascend and descend to a large range of depths.
Given AVXY and AWWZ, what is the perimeter of the trapezoid WXYZ? Round to the nearest 100th
Using the triangle proportionality theorem, the perimeter can be determined as: 114.61 units.
What is the Triangle Proportionality Theorem?The triangle proportionality theorem states that if a line segment that is parallel to one side of a triangle, joins the other two sides of the triangle, it divides the two sides proportionally.
Thus, find VW using the triangle proportionality theorem:
VW/WX = VZ/ZY
SubstituteVW/36 = (44 - 27.5)/27.5
VW/36 = 16.5/27.5
VW = 21.6
Find XY using Pythagorean Theorem:
XY = √(VX² - VY²)
XY = √(57.6² - 44²)
XY = 37.17
Find WZ:
WZ/XY = VZ/VY
SubstituteWZ/37.17 = 16.5/44
WZ = 13.94
Perimeter of Trapezoid WXYZ = WX + XY + YZ + WZ
Perimeter = 36 + 37.17 + 27.5 + 13.94
Perimeter = 114.61 units.
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Vikas’s mother is 22years younger than Vikas’s grandmother and 27 years older than
Vikas. The sum of their ages is 121years. Find their present ages
Their present age are:
Vikas 's age = 15 years, Mother's age = 42 years and
Grandmother's age = 64 years.
Let that present age of Vikash is x yrs.
So, his Mother's age= (x+27) yrs
Grandmother's age = (x+27+22) i.e., (x+49) yrs.
According to question,
x+ (x+27)+ (x+49) = 121
⇒ 3x+ 76 = 121
⇒ 3x = 121-76
⇒ x= 45/3
⇒ x = 15
Therefore,
x = 15
Which means the age of Vikas is 15 years.
Now
So, mother's age will be = 15+27
= 42 years.
And,
Grandmother's age = 15+49
= 64 years.
Hence, age of Vikash, his Mother and his Grandmother are 15 yrs, 42 yrs, and 64 yrs respectively.
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Four skydivers starting jumping from planes in different years and each wear a different color jump suit. (Chapter 2)
1. The jumper who wears the yellow suit started skydiving 1 year after Everett.
2. The jumper who wears the aquamarine suit started skydiving sometime before Gordon.
3. Gordon is either the skydiver who wears the pink suit or the skydiver who wears the silver suit.
4. Rodney started skydiving sometime after the skydiver who wears the pink suit.
5. Francisco started skydiving 2 years after Everett.
years
suit colors
1982
1983
1984
1985
aquamarine
pink
silver
yellow
Everett
names
Francisco
Gordon
Rodney
What color is Everett's jump suit?
aquamarine
suit colors
pink
silver
yellow
The color of Everett's jumpsuit is given as follows:
Pink.
How to obtain the color of Everett's jumpsuit?The color of Everett's jumpsuit is obtained considering the patterns in this problem, which are given by each of the sentences.
The jumper who wears the yellow suit started skydiving 1 year after Everett, which means that Everett does not wear yellow.
The jumper who wears the aquamarine suit started skydiving sometime before Gordon, which means that Everett could have worn the aquamarine suit.
Francisco started skydiving 2 years after Everett, which means that Everett jumped either in 1982 or in 1983.
Rodney started skydiving sometime after the skydiver who wears the pink suit, hence the order is given as follows:
Everett - Rodney - Francisco - Gordon.
From 4, we have that Everett wore the pink suit.
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The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 7 to 5. If there were 4648 yes votes, what was the total number of votes?
Answer:
The total number of votes was 7968.
Step-by-step explanation:
From the information given, you know that the ratio of yes votes to no votes was 7 to 5 and you can use a rule of three to find the number of no votes if there were 4648 yes votes:
7 yes → 5 no
4648 yes → x
x=(4648*5)/7=3320
Now, you have to add up the amount of yes votes and no votes:
4648+3320=7968
According to this, the answer is that the total number of votes was 7968.
A. Compare the difference between the parameter and statistic? Give some examples for parameters and statistics. Show work below.
B. A national survey interviewed 3800 people ages 18 and older nationwide by telephone. One question asked was the amount of gasoline they used in the previous week. Of those sampled, the average response was 11.75 gallons. What is the parameter and statistic in this case? Show work below.
To compare the difference between the parameter and statistic, let's first define these two terms:
Parameter: It is a numerical value that describes the entire population. In statistical terms, a population is a group of individuals or items with some shared characteristic. A parameter is calculated by considering the entire population.
Statistic: It is a numerical value that describes a sample of data drawn from the population. A sample is a subset of the population. A statistic is calculated by analyzing the data from a sample of the population.
Examples of parameters and statistics:
Parameters: Population mean, population standard deviation, population proportion, etc.
Statistics: Sample mean, sample standard deviation, sample proportion, etc.
Now let's answer the second question:
B. In this case, the parameter is the population mean, which refers to the average amount of gasoline used by all people aged 18 and older nationwide in the previous week. Since it is impossible to measure this value, we need to rely on the sample statistic to estimate the population mean.The sample statistic in this case is the sample mean, which is the average amount of gasoline used by the 3800 people interviewed nationwide. Therefore, the statistic in this case is 11.75 gallons.
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the length of a rectangle is 5 m more than double the width, and the area of the rectangle is 42 m2. find the dimensions of the rectangle.
The dimensions of the rectangle are approximately 3.06 m by 11.12 m.
To solve this problem, we need to use algebra. Let's let "w" be the width of the rectangle. According to the problem, the length is "5 m more than double the width," or 2w + 5.
We know that the area of a rectangle is length x width, so we can set up an equation:
w(2w + 5) = 42
Simplifying this equation, we get:
2w^2 + 5w - 42 = 0
We can solve for "w" using the quadratic formula:
w = (-5 ± √(5^2 - 4(2)(-42)))/(2(2))
w = (-5 ± √433)/4
w ≈ 3.06 or w ≈ -6.94
Since a negative width doesn't make sense, we'll use the positive value of w.
So, the width of the rectangle is approximately 3.06 m. To find the length, we can plug this value back into the expression we came up with earlier:
length = 2w + 5
length ≈ 2(3.06) + 5
length ≈ 11.12 m
Therefore, the dimensions of the rectangle are approximately 3.06 m by 11.12 m.
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O
Helpbodkdjdjdjjdjdhdhelp
Answer:
B
Step-by-step explanation:
A constant rate of change refers to a pattern/slope that is unchanging. On a graph, these rate of changes are usually represented by a straight line, and B is the only graph in the question with such a line.
Instructions: Find FS if BS=16.
Answer:
48
Step-by-step explanation:
FB:BS=2:1
\(\frac{FB}{BS} =\frac{2}{1} \\add~1~to~both~sides\\\frac{FB}{BS} +1=\frac{2}{1} +1=3\\\frac{FB+BS}{BS} =3\\\frac{FS}{BS} =3\\FS=3 \times~BS\\FS=3 \times~16=48\)
Answer:
48
Step-by-step explanation:
If EF=6 and EG=21, find the value of FG. The drawing is not to scale. A. 17 B. 15 C. 14 D. 6
Answer:
B
Step-by-step explanation:
EF=6 and EG=21
find the value of FG
6
E-------------F-----------------------------------G
|<-----------------------21---------------------->|
EF + FG = EG
6 + FG = 21
FG = 21 - 6
FG = 15
therefore
the answer to the option is B. 15
find the Mean of Absolute Deviation of 6,8,8,12,16
In reference to the question given, the mean absolute deviation of the set {6, 8, 8, 12, 16} is 2.4.
Calculating the Mean Absolute Deviation of a Set of Numbers.To find the mean absolute deviation of a set of numbers, we first need to calculate the deviations of each number from the mean of the set, then take the absolute value of each deviation, and finally calculate the average of all the absolute deviations.
To find the mean of the set {6, 8, 8, 12, 16}, we first need to calculate the mean:
mean = (6 + 8 + 8 + 12 + 16) / 5 = 10
Next, we calculate the deviations of each number from the mean:
|6 - 10| = 4
|8 - 10| = 2
|8 - 10| = 2
|12 - 10| = 2
|16 - 10| = 6
Taking the absolute value of each deviation gives us:
4, 2, 2, 2, 6
Finally, we calculate the mean of these absolute deviations:
mean absolute deviation = (4 + 2 + 2 + 2 + 6) / 5 = 2.4
Therefore, the mean absolute deviation of the set {6, 8, 8, 12, 16} is 2.4.
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y ≥ 4
x+y> 7slove for x,y
Answer:
x=3
Step-by-step explanation:
x+4>7
7-4=3
x=3
....
please help me!!! I NEED HELP!!!! IM SO CONFUSED
Pretty sure is 5 bud.
Late for the party but happy to help!!
What is the value of a?
I need help. Can someone help me out!!! Please
Answer:
I'm not sure about this one but you can try a=40
Step-by-step explanation:
Answer:
a = 30°
Step-by-step explanation:
Sum of the angles in a triangle is 180°
32° + 2a - 17 + 180° - ( a + 45° ) = 180°
32 + 2a - 17 = a + 45
a = 45 + 17 - 32
a = 30°
I really need help with this please!!
The distance a jet travels (s) varies directly with the number of hours (1) flown. A jet
travels 1,350 miles in three hours. Which of the following equations represents this
direct variation?
Answer:
B
Step-by-step explanation:
Soucre: trust me bro
1) 22 Kg + 34 kg =
2) 94 L + 28 L =
3) 46 cm + 56 mm =
4) 98 cm + 45 m =
5) 234 g + 29 Kg =
6) 40 Km + 35 mm =
7) 89 KL + 56 L =
8) 783 km + 354 km =
9) 95 L + 456 cL =
10) 45 cm + 78 m =
11) 19 1/7 mm + 65 2/3 mm =
12) 77 km 8/3 m + 41 km 15 m =
13) 56 kL 4/5L + 98 KL 1/5 L =
14) 46 kg 77g + 71 kg =
15) 34 m 3/7 cm + 231m 3/5 cm =
16) 782 L 56 mL + 67 L 2/9mL =
17) 35 km 1/7 cm + 78 Km 2/8 cm =
18) 208 kL 65 mL + 51 kL 72 mL =
19) 635 cm + 89 cm =
20) 524 kg 12 cg + 34 kg 3/8 cg =
Answer:
1) 22 Kg + 34 kg = 56 kg
2) 94 L + 28 L = 122 L
3) 46 cm + 56 mm = (46×10) + 56 = 516 mm
4) 98 cm + 45 m = 98 + (45×100) = 4,598 cm
5) 234 g + 29 Kg = 234 + (29×1000) = 29,234 Kg
6) 40 Km + 35 mm = (40×1,000,000) + 35 = 40,000,035 mm
7) 89 KL + 56 L = (89×1000) + 56 = 89,056 L
8) 783 km + 354 km = 1,137 km
9) 95 L + 456 cL = (95×100) + 456 = 9,956 cL
10) 45 cm + 78 m = 45 + (78×100) = 7,846 cm
11) 19 1/7 mm + 65 2/3 mm = 84 17/21 mm
12) 77 km 8/3 m + 41 km 15 m = 118 km 53/3 m
13) 56 kL 4/5L + 98 KL 1/5 L = 154 KL 1 L
14) 46 kg 77g + 71 kg = 117 kg 77 g
15) 34 m 3/7 cm + 231m 3/5 cm = 265 m 36/35 cm
16) 782 L 56 mL + 67 L 2/9mL = 849 L 506/9 mL
17) 35 km 1/7 cm + 78 Km 2/8 cm = 113 km 11/28 cm
18) 208 kL 65 mL + 51 kL 72 mL = 259 kL 137 mL
19) 635 cm + 89 cm = 724 cm
20) 524 kg 12 cg + 34 kg 3/8 cg = 558 kg 99/8 cg
Classify these similar triangles as an example of AA similarity, SSS similarity, or SAS similarity.
Answer:
I AM EXPECTING THAT SSS IS CORRECT ANSWER
2+15+12+85+666+123*322158%5556
A hiker cycles 9 miles in 2/3 of an hour. Make a chart and fill it in to show how far he will bike if he maintains the same pace for 2 hours, 3hours, 3.5 hours.
Answer:
2 hours: 27 miles, 3 hours: 40.5 miles, 3.5 hours: 47.25 miles
Step-by-step explanation:
1.) If a hiker hikes 9 miles in 2/3 of an hour, he will hike 4.5 (Half of 2/3 is 1/3 and half of 9 is 4.5) miles in 1/3 of an hour and 13.5 miles per hour. (1/3 times 3 gives us a whole and 4.5 times 3 is 13.5)
2.) 2 hours: 13.5 * 2 = 27 miles
3.) 3 hours: 13.5 * 3 = 40.5 miles
4.) 3.5 hours: 13.5 * 3.5 = 47.25 miles
9 miles in 2/3 of a hour.
in 1 hour = 9 X 3/2 = 18.2 miles
In 2 hrs = 27 miles
in 3 hrs = 54.6 miles
in 3.5 hrs = 63.7 miles