The total volume of silo is = 116.5[tex]{~m}^{3}[/tex]
The correct option is C
What are the geometric figures?Any arrangement of points, lines, or planes constitutes a geometric figure. Depending on their dimensions, geometric figures can be categorized as either a space figure, a plane figure, a line, a line segment, a ray, or a point.
Any object's surface area is the space that the object's surface takes up on a specific area or region. Volume, however, refers to how much room a thing has.
Given data:
Radius =4.4/2
=2.2
height of cylinder = 6.2
to find :
total volume of silo = volume of cylinder + volume of hemisphere
[tex]\begin{aligned}&=\pi r^{2} h+\frac{2}{3} \pi r^{3} \\&=\pi r^{2}\left(h+\frac{2}{3} r\right) \\&=\frac{22}{7} \times(2.2)^{2}\left[6.2+\frac{2 \times 2.2}{3}\right]\end{aligned}[/tex]
= 116.5[tex]m^2[/tex]
The total volume of silo is = 116.5[tex]m^2[/tex]
To know more about Geometrical figure visit:
https://brainly.com/question/14232368
#SPJ4
I understand that the question you are looking for is:
A grain silo is composed of a cylinder and a What is the approximate total volume of the silo? Use hemisphere. The diameter is 4.4 meters. The height of 3.41 for [tex]\pi[/tex] and round the answer to the nearest tenth of its cylindrical portion is 6.2 meters. a cubic meter.
a. 37.1[tex]m^2[/tex]
b. 71.9 [tex]m^2[/tex]
c.116.5 [tex]m^2[/tex]
d. 130.8[tex]m^2[/tex]
Find the expression for f(x) that makes the following equation true for all values of x
9x*3^x+2=3f(x)
A puppy weighed 2kg.
Eight weeks later the puppy weighed 3.5kg
What was the percentage increase in the puppy's weight?
Answer:
[tex]3.5 - 2 \times 100 \div 2[/tex]
Answer:
The percentage increase in the puppy's weight is 75%.
Step-by-step explanation:
We can find the percentage increase using the following formula:
[tex]\boxed{\% \space\ \mathrm {increase = \frac{final \space\ - \space\ initial}{initial} \times 100}}[/tex].
In this case,
• initial = 2 kg
• final = 3.5 kg
Substituting these values into the formula:
[tex]{\% \space\ \mathrm {increase = \frac{3.5 \space\ - \space\ 2}{2} \times 100}}[/tex]
⇒ [tex]\frac{1.5}{2} \times 100[/tex]
⇒ [tex]0.75 \times 100[/tex]
⇒ 75%
The probability for event A is 0.3, the probability for event B is 0.6, and the probability of events A or B is 0.8.
Why are the events not mutually exclusive
The events are not mutually exclusive because P(A or B) is not equal to P(A) + P(B)
Why are the events not mutually exclusive?The probability values are given as:
P(A) = 0.3
P(B) = 0.6
P(A or B) = 0.8
For mutually exclusive events, we have:
P(A or B) = P(A) + P(B)
Substitute the known values in the above equation
P(A or B) = 0.3 + 0.6
Evaluate the sum
P(A or B) = 0.9
From the given parameters, we have
P(A or B) = 0.8
Hence, the events are not mutually exclusive because P(A or B) is not equal to P(A) + P(B)
Read more about probability at
https://brainly.com/question/25870256
#SPJ1
Answer:
D
Step-by-step explanation:
edge 2023
The sum of P(A) and P(B) is not equal to P(A or B).
A phone company surveys a sample of current customers to determine if they use their phones most often to text or use the Internet. They sort the data by payment plans, as shown below. Plan A: 27 text, 21 Internet Plan B: 13 text, 10 Internet Answer the questions to determine a conditional probability. How many customers are on payment plan B? customers How many of the customers on plan B text? customers What is the probability that a randomly selected customer who is on plan B uses the phone most often to text? Give the answer in fraction form.
Answer:
23 customers on payment plan B
13 customers on plan text B
Probability: 13/23
Step-by-step explanation:
12. Make a hexagonal pyramid with a base edge of 6 cm, base apothem of 4 cm and pyramid height of 10 cm. You can do it in clay, porcelain or cardboard. (40%) It is supported by the following information • Side area • Total area • Volume • Used material • Elements of the figure outlined or marked.
the volume of the hexagonal prism is 184. 75 cm^3
How to determine the volume of the hexagonal prismIt is important to note that the volume of a hexagonal prism is given as;
V = (2/√3) × ap2 × h
Where
ap is the apothemh is the height of the prismFrom the information given, we have the values of the following parameters;
height = 10cm
apothem = 4cm
base edge = 6cm
Now, let's substitute the value of the parameters
Volume = (2/√3) × ap^2 × h
Volume = 2/√3 × 4^2 × 10
Multiply through
Volume = 1. 1547 × 16 × 10
Volume = 184. 75 cm^3
Thus, the volume of the hexagonal prism is 184. 75 cm^3
Learn more about a hexagonal prism here:
https://brainly.com/question/10171109
#SPJ1
What is the independent variable in this function?
Answer:
p.
Step-by-step explanation:
p is the independent variable.
The dependent one is h.
The value of h depends on the value of p.
The following are the ages of 13 history teachers in a school district. 24, 27, 29, 29, 35, 39, 43, 45, 46, 49, 51, 51, 56 Notice that the ages are ordered from least to greatest. Give the five-number summary and the interquartile range for the data set. Five-number summary
Minimum:
Lower quartile:
Median:
Upper quartile:
Maximum:
Interquartile range:
The minimum value of data is 24,lower quartile is 29,median is 41, upper quartile is 50 and maximum value is 56 and the interquartile range is 21.
Given a data about ages of 13 history teacher as under:
24, 27, 29, 29, 35, 39, 43, 45, 46, 49, 51, 51, 56.
We are required to find the minimum value, lower quartile,median,upper quartile,maximum value, interquartile range.
The minmum value is 24.
Lower quartile=(n+1)/4 th term
=(13+1)/4
=7/2
=3.5
Lower quartile=(29+29)/2
=29
Median=(n/2)th term
=13/2 th term
=6.5 th term
Median=(39+43)/2
=82/2
=41
Upper quartile=3(n+1)/4 th term
=3(13+1)/4
=3*14/4
=10.5 th term
Upper quartile=(49+51)/2=100/2=50
Inter quartile range=Upper quartile- lower quartile
=50-29
=21
Hence the minimum value of data is 24,lower quartile is 29,median is 41, upper quartile is 50 and maximum value is 56 and the interquartile range is 21.
Learn more about quartiles at https://brainly.com/question/10005803
#SPJ1
An airport parking lot charges a basic fee of $2 plus $1 per half-hour parked. what is the total charge from parking in the lot for 72 hours? a. $144 b. $146 c. $74 d. $72 please select the best answer from the choices provided a b c d
Using a linear function, the total charge from parking in the lot for 72 hours is of:
b. $146.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.Both the basic fee, which is the y-intercept, and the hourly fee, which is the slope, are of $2, hence the cost of parking x hours is given by:
C(x) = 2x + 2
Hence the cost for parking 72 hours is:
C(72) = 2 x 72 + 2 = 2 x 73 = $146.
Which means that option b is correct.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
Find a so that line CD will have the given slope: C(3, -3), D(-3,a); m= -4/3
Work Shown:
m = (y2 - y1)/(x2 - x1)
-4/3 = (a - (-3))/(-3 - 3)
-4/3 = (a+3)/(-6)
-4*(-6) = 3(a+3)
24 = 3a+9
3a+9 = 24
3a = 24-9
3a = 15
a = 15/3
a = 5
distribute the problem
2(3-8y)
Answer:
6-16yStep-by-step explanation:
Hello!
apply distributive law
[tex]a(b - c) = ab - ac[/tex]
2(3-8y)=2.3-2.8y
2.3=6-2.8y= -16y=6-16y
Hope it helps!
A plane has a cruising speed of miles per hour when there is no wind. At this speed, the plane flew miles with the wind in the same amount of time it flew miles against the wind. Find the speed of the wind.
The speed of the wind is 50 miles per hour.
What is speed?The term speed is defined as the ratio of the distance to the time taken. Now we can see that the movement of the plane and the wind were once in the same direction and then in opposite direction. This could be used to obtain a pair of simultaneous equations that could be used to solve the problem.
Hence;
300 = (250+s)* t = 250t + st ----- (1)
200 = (250-s)* t = 250t - st ------- (2)
Adding equations (1) and (2)
500 = 500t
t = 1 hour
To obtain the speed of the wind;
300 =250t + st
300 = 250(1) + (s * 1)
300 = 250 + s
300 - 250 = s
s = 50 miles per hour
Learn more about speed:https://brainly.com/question/7359669
#SPJ1
Missing parts;
A plane has a cruising speed of 250 miles per hour when there is no wind. At this speed, the plane flew 300 miles with the wind in the same amount of time it flew 200 miles against the wind. Find the speed of the wind.
What is the volume of the following prism?
A. 225 m³
B. 75 m²
C. 50 m³
D. 150 m³
Answer: [tex]\Large\boxed{B.~\displaystyle 75~m^3}[/tex]
Step-by-step explanation:
Given information
Height = 2 m
Base = 5 m
Length = 15 m
Given the formula for Triangular Prism Volume
[tex]V~=~\displaystyle \frac{1}{2}\times ~b~\times~h~\times~l[/tex]
[tex]\to V=Volume\\\to b=base\\\to h = height\\\to l = length[/tex]
Substitute values into the formula
[tex]V~=~\displaystyle \frac{1}{2}\times ~(5)~\times~(2)~\times~(15)[/tex]
Simplify by multiplication
[tex]V~=~\displaystyle \frac{5}{2}~\times ~30[/tex]
[tex]\Large\boxed{V~=~\displaystyle 75~m^3}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
In the figure below, AD is the perpendicular bisector of CB. Based on this information, which other statement can be proven to be
true?
OA AB AC
OB. AB CB
OCAC CB
OD AD CB
A
C
D
B
Answer:
463833
expand
Medium
Solution
verified
Verified by Toppr
In △ABD and △ACD, we have
DB=DC ∣ Given
∠ADB=∠ADC ∣ since AD⊥BC
AD=AD ∣ Common
∴ by SAS criterion of congruence, we have.
△ABD≅△ACD
⇒AB=AC ∣ Since corresponding parts of congruent triangles are equal
Hence, △ ABC is isosceles.
Answer:
A.
Step-by-step explanation:
With the given information, triangles ABD and ACD can be proved congruent, and by CPCTC, segments AB and AC are congruent.
Solve the system using
elimination:
2x-y=8
3x+2y=5
Answer:2x+y=8
3x-2y=5
Step-by-step explanation:multiply 1 st equation by 2
4x+2y=16
3x-2y=5
7x=21
x=21/7
x=3
2×3+y=8
6+y=8
y=8-6
y=2
Erin’s car uses 6 gallons of gas for every 138 miles she drives. Which equation could be used to find how many gallons,g, Erin needs to drive 92 miles
Answer:
g = 6 / 3 x 2
Step-by-step explanation:
g = 6 / 3 x 2 because 92 / 2 = 46. 46 x 3 = 138. so / 3 = 46 x 2 = 92
Thus, Erin required 4 gallons of gas to drive 92 miles.
What is proportionality?proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense that are they directly proportional or inversely proportional to each other.
Let the gallon used by Erin bey and distance traveled be x
Now fuel consumed by Erin is directly proportional to the distance traveled i.e.
y ∝ x
y = ax - - - - - - (1)
where is the constant
Now put y = 6 and x = 138
6 = a * 138
a = 6/138
a = 0.043
Now put a in equation 1
y = 0.043x
The above expression is a required expression that implies how mush gallons of gas Erin used to travel a certain distance.
Erin needs to drive 92 miles,
Put x = 92 in above expression
y = 0.043 * 92
y = 4 gallon
Thus, Erin required 4 gallons of gas to drive 92 miles.
Learn more about proportionality here:
https://brainly.com/question/22620356
#SPJ2
plesae help me
willing to give more points
Answer:
a) horizontal compression with a factor of 0.5 and a horizontal reflection over the y-axis.
b) Pick one the two correct answers:
translation of 2 units right
translation of 2 units down
Step-by-step explanation:
If function f(x) is transformed into f(ax) then it is stretched or compressed horizontally.
If |a| > 1 it is compressed horizontally.
If 0 < |a| < 1, it is stretched horizontally.
If a is negative, then it is reflected over the y-axis.
a) Compare y = -2x with y = x.
The change is in that x became -2x.
Here, a = -2.
Since |-2| = 2, and 2 > 1, it has a compression of a factor of 2 horizontally.
Also, since -2 is a negative number, it is reflected over the y-axis.
Answer: horizontal compression with a factor of 0.5 and a horizontal reflection over the y-axis.
If function f(x) is transformed into f(x) + b then it is translated vertically b units. If b > 0, the translation is b units up. If b < 0, the translation is b units down.
b) y = x - 2
This can be thought of the function f(x) becoming f(x) - 2.
It is a translation of 2 units down.
Interestingly, in this case, this can also be thought of x being replaced by x - 2 which is a translation of 2 units to the right.
Answer:
There are two correct answers (use only one of the two below):
translation of 2 units right
translation of 2 units down
Use the wave equation to find the speed of a wave given by y(x,t) = (9. 13 mm) sin[(6. 65 m-1)x - (5. 52 s-1)t]
The speed of the wave is 0.83 m/s.
According to the statement
we have given that the equation and we have to find the speed of the wave.
So, For this purpose, we know that the
The given equation is y(x,t) = (9. 13 mm) sin [(6. 65 m^-1)x - (5. 52 s^-1)t]
Then we have to find the speed of the wave
So, Comparing y(x,t) = (9. 13 mm) sin[(6. 65 m-1)x - (5. 52 s-1)t]
to the general expression y(x,t)=y m sin(kx−ωt),
Because the general expression is y(x,t)=y m sin(kx−ωt)
we see that k= 6.65 m −1 and ω= 5.52 rad/s.
The speed of the wave is
v=ω/k=(5.52 rad/s)/(6.65 m )= 0.83 m/s
So, The speed of the wave is 0.83 m/s.
Learn more about Speed of wave here
https://brainly.com/question/3148541
#SPJ4
Which of the following graphs has a zero correlation?
How to do 8+(-3)+(-2) three diffrent ways on a number line?
3 ways of computing the sum on the number line are:
Start at 8, then move 2 units to the left, then move 3 units to the left.Start at -3, then move 8 units to the right, then move 2 units to the left.Start at -2, then move 3 units to the left, then move 8 units to the right.How to do the sum in three different ways on a number line?
Here we have the sum:
8 + (-3) + (-2)
The first way of doing the sum in a number line is starting on the first number, which is 8.
Then, we move 3 units to the left, to the 5.Then, we move other 2 units to the left, to the 3.Now, we also can think the sum as:
(-3) + 8 + (-2)
So now we can start at the value -3, then move 8 units to the right, and then 2 units to the left.
Or think the sum as:
(-2) + (-3) + 8
So we start at -2, then we move 3 units to the left, and finally 8 units to the right.
So the different ways of computing the sum on a number line depends on where we start.
If you want to learn more about number lines:
https://brainly.com/question/4727909
#SPJ1
The exponential model A = 999.8 0.002t describes the population, A, of a country' in millions, t years after 2003. Use
the model to determine when the population of the country will be 1051 million?
The population of the country will be 1051 million in 2014
How to model the population of the country?The exponential model that describes the population of a country' in millions, t years after 2003 is given as:
A = 999.8 e0.002t
Rewrite the function properly as:
A = 999.8 * e^(0.002t)
When the population of the country is 1051 million, it means that:
A = 1051
Substitute the known values in the above equation
So, we have:
1051 = 999.8 * e^(0.002t)
Divide both sides by 999.8
1.0512 = e^(0.002t)
Take the natural logarithm of both sides of the equation
ln(1.0512) = ln(e^(0.002t)
Rewrite the equation as:
ln(e^(0.002t) = log(1.0512)
This gives
0.002t = log(1.0512)
Evaluate the logarithmic expression
0.002t = 0.0216
Divide both sides of the equation by 0.002
t = 0.0216/0.002
Evaluate the quotient
t = 10.8
Approximate 10.8 as 11
t = 11
11 years from 2003 is 2014
Hence, the population of the country will be 1051 million in 2014
Read more about exponential functions at:
https://brainly.com/question/11464095
#SPJ1
Please help !!! Need help !!!
Solve the given initial-value problem. d2x dt2 2x = f0 sin t, x(0) = 0, x '(0) = 0
The initial-value is x(t)=F0/2w^2 (sin wt-wt cos wt)
An initial-value hassle is a differential equation wherein is an open set of, together with a point within the domain called the initial situation. A technique to an initial cost hassle is a function that is a technique to the differential equation and satisfies.
Inside the discipline of differential equations, preliminary cost trouble (additionally called Cauchy trouble by using a few authors) is a normal differential equation collectively with a detailed fee, called the preliminary situation, of the unknown function at a given factor in the domain of the solution.
In multivariable calculus, an initial-value hassle is a normal differential equation collectively with a preliminary circumstance that specifies the fee of the unknown characteristic at a given factor in the area. Modeling a system in physics or different sciences often amounts to fixing an initial cost problem.
Consider a differential equation x+x=F, sin wt, x(0) = 0,X(0) = 0
Apply Laplace transformation on both sides, and we get
(s²L{x(t)}-sy(0)-y'(0)) + w²L {x(t)} =·
Fow
Fow
(s² + w² ) { x(t)} = 3 + w²
L{x(t)}=
Fow
(5²+w²)²
x(t)=FwL
[(s² + w²)²]
Fow
x(t)=(sin wt-wt coswt)
2w
x(t)=
Fo
wtcos
2w (sin wt-wt cos wt),
Learn more about initial value here https://brainly.com/question/2546258
#SPJ4
Find the distance between the given points.
R(O, O) and S(6, 8)
Distance =
Answer:
distance = 10
2/7 /(22) = 10
a 36 foot long pole is cut into two pieces with the ratio lengths equal to 5:7
what is the lengh of the longer piece?
Please help what is the answer?
Answer:
C
Step-by-step explanation:
[tex]-15x+60\leq 105 \\ \\ -15x \leq 45 \\ \\ x \geq -3[/tex]
[tex]14x+11 \leq -31 \\ \\ 14x \leq -42 \\ \\ x \leq -3[/tex]
The intersection is x = 3.
How many different orders of top-three finishers are possible? drag the tiles to the correct locations on the equation. not all tiles will be used.
Orders of top-three finishers that are possible is given as follows:
[tex]n P_{r}=\frac{14 !}{11 !}=2184[/tex]
What is the permutation?In a broad sense, a permutation of a set is the rearrangement of its elements inside an already ordered set, or the arrangement of its members into a sequence or linear order. The act or process of altering an ordered set's linear order is referred to as "permutation."
What is the permutation formula?The number of possible permutations of x elements from a set of n elements is given by:
[tex]n P_{r}=\frac{n !}{(n-r) !}[/tex]
The order in which the cars finish is important, hence the permutation formula is used instead of the combination formula.
In this problem, 3 cars are taken from a set of 14, hence the number of different orders is given as follows:
Using the permutation formula, it is found that the number of different orders of top-three finishers that are possible is given as follows:
[tex]n P_{r}=\frac{14 !}{11 !}=2184[/tex]
To know more about the permutation visit:
brainly.com/question/25925367
#SPJ4
I understand that the question you are looking for is:
How many different orders of top-three finishers are possible? drag the tiles to the correct locations on the equation. not all tiles will be used.
These cones are similar. Find the volume
of the smaller cone. Round to the
nearest tenth.
2 cm
Volume = [?] cm³
3 cm
Volume = 66 cm³
Answer:
Hight = 22 cm
Volume of BlueCone= 92 [tex]cm^2[/tex]
Step-by-step explanation:
Finding the Hight of The Red Cone(Check the Image)
Volume of The Blue Cone(Check Image Below)
Given the functions k(x) = 2x2 − 5 and p(x) = x − 3, find (k ∘ p)(x). (k ∘ p)(x) = 2x2 − 6x 4 (k ∘ p)(x) = 2x2 − 12x 13 (k ∘ p)(x) = 2x2 − 12x 18 (k ∘ p)(x) = 2x2 − 8
[tex](k \circ p)(x)=k(p(x))=k(x-3) \\ \\ =2(x-3)^2-5 \\ \\ =2(x^2 - 6x+9)-5 \\ \\ =\boxed{2x^2 - 12x+13}[/tex]
For instance, f[g (x)] exists the composite function of f(x) and g(x). The composite function f[g (x)] exists read as “f of g of x”.
The composite function exists [tex]$k(p(x))=2 x^{2}-12 x+13$[/tex]
Therefore, the correct answer is option b. [tex]$k(p(x))=2 x^{2}-12 x+13$[/tex].
What is the composite of a function?A composite function exists generally as a function that exists written inside another function. The composition of a function exists done by replacing one function with another function.
Given function exists, [tex]$k(x)=2 x^{2}-5[/tex] and p(x) = (x - 3)
To find composite function k(p(x)).
k(p(x)) = k(x-3)
[tex]$&k(p(x))=2(x-3)^{2}-5 \\[/tex]
simplifying the above equation, we get
[tex]$&k(p(x))=2\left(x^{2}+9-6 x\right)-5 \\[/tex]
[tex]$&k(p(x))=2 x^{2}+18-12 x-5 \\[/tex]
[tex]$&k(p(x))=2 x^{2}-12 x+13[/tex]
The composite function exists [tex]$k(p(x))=2 x^{2}-12 x+13$[/tex]
Therefore, the correct answer is option b. [tex]$k(p(x))=2 x^{2}-12 x+13$[/tex].
To learn more about the composite function refer to:
https://brainly.com/question/10687170
#SPJ4
Alice and Bob are currently 1000 feet apart and are both running directly
toward each other at a constant speed of 10 feet per second. A bird starts in the same
position as Alice and flies directly toward Bob at a speed of 20 feet per second. When the
bird reaches Bob, it turns around immediately and starts flying toward Alice at the same
speed, turning around immediately when it reaches Alice, and repeating this procedure until
Alice and Bob meet. When Alice and Bob finally meet, what is the total distance that the
bird has flown, in feet?
The distance the bird has flown by the time Alice and Bob meet is 40 feet.
Given that the distance between Alice and Bob is 1000 feet and their running speed is 10 feet per second and the speed of bird is 20 feet per second.
Distance equals speed multiplied by time.
Distance between Alice and Bob=1000 feet.
Distance between the bird and Bob=1000 feet.
Speed of Alice and Bob=10 feet per second.
The combined speed of Alice and Bob=20 feet per second.
Since the two are running directly toward each other the distance each will cover at the meeting point is 50 feet (1000/20)
The time covered at the meeting point=20 second (1000/50)
Speed of the bird=20 feet per second.
The distance covered by the bird towards Bob at their meeting point is 40 feet(20 feet*20 seconds).
Hence the distance the bird has flown by the time Alice and Bob meet is 40 feet.
Learn more about distance at brainly.com/question/2854969
#SPJ1
Please help im bad at math!
Answer:
answer is 3 ft
Step-by-step explanation:
area of circle= 3*(1)^2