9514 1404 393
Answer:
146.0 m²
Step-by-step explanation:
The lateral areas of the cylinder and cone are given by the formulas ...
A = πrs . . . . cone area; radius r, slant height s
A = 2πrh . . . . cylinder area; radius r, height h
__
The total area lateral area of the silo is ...
A = π(2.8 m)(6.6 m) +2π(2.8 m)(5 m) = π(2.8 m)(6.6 m +2(5 m)) = 46.48π m²
A ≈ 146.0 m² . . . area of sides and roof of silo
_____
Additional comment
The answer is requested in cubic meters. Area has units of square meters. There is nothing in this problem statement that seems to be requesting a volume, which is what would have units of cubic meters.
if x=2 and y=3. What is x*y/xy+x*y
Answer
its uhhhhh i dont know
Step-by-step explanation:
GUYS I NEED HELP PLEASE!!!
Answer:
A.
Step-by-step explanation:
π/4 radians = 45°
In a 45-45-90 degree angle, the ratio of the lengths of the sides is
1 : 1 : √2
x = y = 1/√2
x = y = √2/2
Answer: A.
Answer:
A
Step-by-step explanation:
π/4 rad is 45°
cos 45° and sin 45° are both equal to (√2 / 2)
If you're curious, cos delta = x-coordinate while sin delta = y-coordinate
Suppose a young sedentary woman wanted to lose 30 pounds of body fat in a period of 20 weeks. She now weighs 160 pounds and her activity level is such so she needs 15 Calories per pound of body weight to maintain her weight. Calculate the number of Calories she may consume daily in order to lose the 30 pounds by diet only. 1,000 1,250 1,400 1,650 1,900
Answer:
The answer is "1900"
Step-by-step explanation:
It takes 500 fewer calories per day for her to lose 1 lb of weight every week.
[tex]\to (15 \times 160)-500 =(2400)-500 =2400-500=1900[/tex]
1. Choose the correct decimal for "three tenths."
3
0.03
0.003
0.3
Please hurry, if you do reply thank u, it means alot! <3 :)
Answer:
3 tenths means 3 over ten represented as as 3/10 and 10 has one zero I.e tenth different from hundredths which has 2 zeros so our decimal shld also have one zero which is 0.3...so 0.3 is the answe hope it helps❤
Sarah has two similar rectangular boxes. The dimensions of Box 1 are four times those of Box 2.
How many times greater is the surface area of Box 1 than the surface area of Box 2?
8
64
4
16
Answer:
16
Step-by-step explanation:
an area is always calculated by multiplying 2 dimensions.
when changing the dimensions, then the change factors for EACH dimension go into the calculation too.
therefore, when both dimensions of an area are enlarged 4 times, then the area is enlarged 4×4 = 16 times.
this just propagates to the whole surface area of an object, as each individual area of the overall surface area is enlarged by the same factor. and so, the sum of all the individual areas (= altogether the surface area of the object) is also enlarged in total by the same factor.
just think
16×a + 16×b + 16×c ... = 16×(a+b+c+...)
and you understand why.
What is the distance from point Yto wx in the figure below?
W 16 Z
30
X
1612
34
O A. 4
O B. 162
O C. 16
O D. Cannot be determined
E. 16/3
F. 8
The length of YZ in the similar triangle given is calculated using Pythagoras theorem which gave us 16√3
What are Similar TriangleSimilar triangles are two or more triangles that have the same shape but may be different sizes. They have the same angles and corresponding sides that are proportional.
In this problem, we need to use the concept of ratio and proportions to find the length of YZ
However, we can simply use Pythagoras theorem to determine the length.
According to Pythagoras' Theorem, the square of the hypotenuse, or side opposite the right angle, in a right-angled triangle, is equal to the sum of the squares of the other two sides.
It is expressed as the equation a² + b² = c².
This is because the triangles forms a right angled triangle and we can easily apply that here.
YZ² = 16² + (16√2)²
YZ² = 768
YZ = √768
YZ = 16√3
The length or distance from point Y to WX which is the same as the length of YZ is calculated as 16√3.
Learn more on similar triangle here;
https://brainly.com/question/14285697
#SPJ1
Answer:
C. 16
Step-by-step explanation:
I hope this helps :)
a motercycle can travel 60 miles per gallon. approximently how many gallons of fuel will the motercycle need to travel 40 km
[1 mile = 1.6km]
Answer:
Step-by-step ex0.72
If p-1/p=4,find the value of P2+1/p2
Answer:
18
Step-by-step explanation:
(p-1/p)² = 4²
p² + 1/p² - 2(p)(1/p) = 16
p²+1/p² -2 =16
so, p²+1/p² = 16+2
= 18
Destiny just received two separate gifts from her great-great-grandmother.
The first gift is a box of 18 chocolate candy bars, and the second gift is a pack of 12 cookies.
Destiny wants to use all of the chocolate candy bars and cookies to make identical snack bags for her cousins.
What is the greatest number of snack bags that Destiny can make?
Answer:
Destiny will be able to create 12 identical snack bags.
Step-by-step explanation:
Given that a snack bag will be 1 chocolate candy bar, and 1 cookie, we have to subtract 1 chocolate for every cookie she has, and that will leave us with 6 chocolate bars left. The equation for this is 18 - 12 = 6.
In the Data Analysis portion of the article the authors report that they completed a power analysis to determine the power of their study with the sample size utilized. They report a power of 90%. What does this mean
Answer:
Kindly check explanation
Step-by-step explanation:
The power of a test simply gives the probability of Rejecting the Null hypothesis, H0 in a statistical analysis given that the the alternative hypothesis, H1 for the study is true. Hence, the power of a test can be referred to as the probability of a true positive outcome in an experiment.
Using this definition, a power of 90% simply means that ; there is a 90% probability that the a Pvalue less Than the α - value of an experiment is obtained if there is truly a significant difference. Hence, a 90% chance of Rejecting the Null hypothesis if truly the alternative hypothesis is true.
forty-five percent of the students in a dorm are business majors and fifty-five percent are non-business majors. business majors are twice as likely to do their studying at the library as non-business majors are. half of the business majors study at the library. if a randomly slected student from the dorm studies at the library, what is the probability the student is a business major
Solution :
Defining the following events as :
B : Being a Business major
α : Studying at the library
∴ Given that :
[tex]$P(B) = \frac{45}{100}$[/tex]
= 0.45
Again, P [ Studying at the library | Being a Business major ] = 2 P [ Studying at the library | Being a non business major ]
[tex]$P[ \alpha | B] = 2 P[\alpha | B^C]$[/tex] .......(1)
Again,
[tex]$P[\text{Studying at the library } | \text{ Being a business major}] = \frac{1}{2} = 0.50$[/tex]
[tex]$P(\alpha | B) = 0.50$[/tex]
From (1), we get
[tex]$P(\alpha | B^C) = \frac{1}{2} . P(\alpha | B)$[/tex]
[tex]$=\frac{1}{2} \times 0.50$[/tex]
= 0.25
Therefore, we need,
= P[ The students is a Business major | The student studies at the library ]
[tex]$=P(B | \alpha)$[/tex]
By Bayes theorem
[tex]$=\frac{P(B). P(\alpha | B)}{P(B).P(\alpha | B) + P(B^C). P(\alpha | B^C)}$[/tex]
[tex]$=\frac{0.45 \times 0.50}{0.45 \times 0.50 + 0.55 \times 0.25}$[/tex]
= 0.6207
What is the domain of the function Y = In
-X+3
2
0x62
O x32
O X<3
O
X> 3
ASAP
Answer:
i think 1/58 is correct
i hope its help you
Find the mean, median, and mode of the following data. If necessary, round to one more decimal place than the largest number of decimal places given in the data.
MLB Batting Averages
0.2750.275 0.3190.319 0.3140.314 0.2800.280 0.2880.288
0.3140.314 0.2950.295 0.2960.296 0.3170.317 0.2760.276
0.2740.274 0.2890.289 0.2950.295 0.2760.276 0.2750.275
0.2960.296 0.3110.311 0.2890.289 0.2830.283 0.3120.312
Answer:
0.2937 ;
0.292 ;
0.275, 0.314, 0.295, 0.296, 0.276, 0.289
Step-by-step explanation:
0.275 0.319 0.314 0.280 0.288 0.314 0.295 0.296 0.317 0.276 0.274 0.289 0.295 0.276 0.275 0.296 0.311 0.289 0.283 0.312
Reordered data :
0.274, 0.275, 0.275, 0.276, 0.276, 0.280, 0.283, 0.288, 0.289, 0.289, 0.295, 0.295, 0.296, 0.296, 0.311, 0.312, 0.314, 0.314, 0.317, 0.319
The mean : ΣX / n ; n = sample size, = 20
Mean = 5.874 / 20 = 0.2937
The median : 1/2(n+1)th term
Median = 1/2(21)th term = 10.5 th term
Median = (10th + 11th) terms / 2
Median = (0.289+0.295) / 2 = 0.292
The mode = 0.275, 0.314, 0.295, 0.296, 0.276, 0.289 (values with ten highest number of occurence.)
Students at a virtual school are allowed to sign up for one math class each year. The numbers of students signing up for various math classes for the next school
year are given in the following table:
Grade Geometry Algebra II Pre-Calculus AP Statistics Total
10th
150
75
25
5
255
11th
50
100
75
20
245
12th
10
50
100
65
225
Total 210
225
200
90
725
Part A: What is the probability that a student will take AP Statistics? (2 points)
Part B: What is the probability that a 12th-grader will take either Pre-Calculus or AP Statistics? (2 points)
Part C: What is the probability that a student will take Algebra II given that he or she is in the 11th grade? (2 points)
Part D: Consider the events "A student takes Algebra II and "A student is a 10th-grader. Are these events independent? Justify your answer. (4 points)
A well formatted table of the distribution is attached below :
Answer:
0.124
0.733
0.408
Step-by-step explanation:
Using the table Given :
1.) P(AP Statistics) = 90 / 725 = 0.124
2.) P(12th grade ; Precalculus or AP Statistics) = (100 + 65) / 225 = 165 /225 = 0.733
3.) P(Algebra 11 | 11th grade) = P(Algebara11 n 11th grade) / P(11th grade) = 100 / 245 = 0.408
What are the coordinates of point K?
A (-2,4)
B (-2,-4)
C (2,-4)
D (2, 4)
Answer:
A
Step-by-step explanation:
I guess that is the answer
help me out, so I can confirm my answers...:)
Answer:
Step-by-step explanation:
i) 18 - 2b = 5a
18 - 2b - 5a = 0
-2b -5a = -18
2b + 5a = 18
5a + 2b = 18
ii) 3a = 5b + 17
3a - 5b = 17
At this time x = 3, y = -5, c= 17
ax + by = c is equivelant to 3a -5b = 17
So another equation is:
3a - 5b = 17
Answer from Gauthmath
Step-by-step explanation:
18-2b=5a
we want to make 5a the subject so first we 5a to the left so our new equation is 5a+18-2b=0
then we move the 2b infront of the +18 so then our new equation is 5a+2b+18=0 then. we move the +18 to the other side to give 5a+2b=18
n rectangle ABCD, point E lies half way between sides AB and CD and halfway between sides AD and BC. If AB=3 and BC=11, what is the area of the shaded region? Write your answer as a decimal, if necessary. Do not include units in your answer.
*see attachment for clearer diagram
Answer:
16.5
Step-by-step explanation:
BC = 11
AB = 3
Area of the shaded region = area of ∆AEB + area of ∆CED
Area of a triangle is given as,
A = ½*base*height
Find the area of each triangle and add together
✔️Area of ∆AEB = ½*bh
Where,
base (b) = 3
height (h) = ½(BC) = ½(11) = 5.5
Area of ∆AEB = ½*3*5.5 = 8.25
✔️Area of ∆CED = ½*bh
Where,
b = 3
h = ½(BC) = ½(11) = 5.5
Area of ∆CED = ½*3*5.5 = 8.25
✅Area of the shaded region = area of ∆AEB + area of ∆CED
= 8.25 + 8.25
= 16.5
Suppose (-13,2) is a point on the graph of y=f(x). What is a point that will be on the graph of y=9f(x)-5
9514 1404 393
Answer:
(x, y') = (-13, 13)
Step-by-step explanation:
At the given value of x, f(x) = 2. Then 9f(x)-5 = 9(2) -5 = 13.
The point on the scaled, translated graph will be ...
(x, y') = (-13, 13)
_____
The graph shows a function f(x) with a distinct feature (vertex) at (-13, 2). It also shows where that distinct feature moves to when the function is scaled and translated.
Change to cylindrical coordinates. 3∫−3 9-x^2∫0 9−x^2-y^2∫x^2+y^2 dz dy dx
I think the given integral reads
[tex]\displaystyle \int_{-3}^3 \int_0^{9-x^2} \int_{x^2+y^2}^{9-x^2-y^2} \mathrm dz\,\mathrm dy\,\mathrm dx[/tex]
In cylindrical coordinates, we take
x ² + y ² = r ²
x = r cos(θ)
y = r sin(θ)
and leave z alone. The volume element becomes
dV = dx dy dz = r dr dθ dz
Then the integral in cylindrical coordinates is
[tex]\displaystyle \boxed{\int_0^\pi \int_0^{(\sqrt{35\cos^2(\theta)+1}-\sin(\theta))/(2\cos^2(\theta))} \int_{r^2}^{9-r^2} r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta}[/tex]
To arrive at this integral, first look at the "shadow" of the integration region in the x-y plane. It's the set
{(x, y) : -3 ≤ x ≤ 3 and 0 ≤ y ≤ 9 - x ²}
which is the area between a paraboloid and the x-axis in the upper half of the plane. So right away, you know θ will fall in the first two quadrants, so that 0 ≤ θ ≤ π.
Next, r describes the distance from the origin to the parabola y = 9 - x ². In cylindrical coordinates, this equation changes to
r sin(θ) = 9 - (r cos(θ))²
You can solve this explicitly for r as a function of θ :
r sin(θ) = 9 - r ² cos²(θ)
r ² cos²(θ) + r sin(θ) = 9
r ² + r sin(θ)/cos²(θ) = 9/cos²(θ)
(r + sin(θ)/(2 cos²(θ)))² = 9/cos²(θ) + sin²(θ)/(4 cos⁴(θ))
(r + sin(θ)/(2 cos²(θ)))² = (36 cos²(θ) + sin²(θ))/(4 cos⁴(θ))
(r + sin(θ)/(2 cos²(θ)))² = (35 cos²(θ) + 1)/(4 cos⁴(θ))
r + sin(θ)/(2 cos²(θ)) = √[(35 cos²(θ) + 1)/(4 cos⁴(θ))]
r = √[(35 cos²(θ) + 1)/(4 cos⁴(θ))] - sin(θ)/(2 cos²(θ))
Then r ranges from 0 to this upper limit.
Lastly, the limits for z can be converted immediately since there's no underlying dependence on r or θ.
The expression above is a bit complicated, so I wonder if you are missing some square roots in the given integral... Perhaps you meant
[tex]\displaystyle \int_{-3}^3 \int_0^{\sqrt{9-x^2}} \int_{x^2+y^2}^{9-x^2-y^2} \mathrm dz\,\mathrm dy\,\mathrm dx[/tex]
or
[tex]\displaystyle \int_{-3}^3 \int_0^{\sqrt{9-x^2}} \int_{x^2+y^2}^{\sqrt{9-x^2-y^2}} \mathrm dz\,\mathrm dy\,\mathrm dx[/tex]
For either of these, the "shadow" in the x-y plane is a semicircle of radius 3, so the only difference is that the upper limit on r in either integral would be r = 3. The limits for z would essentially stay the same. So you'd have either
[tex]\displaystyle \int_0^\pi \int_0^3 \int_{r^2}^{9-r^2} r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta[/tex]
or
[tex]\displaystyle \int_0^\pi \int_0^3 \int_{r^2}^{\sqrt{9-r^2}} r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta[/tex]
A cyclist rides his bike at a speed of 15 miles per hour. What is this speed in kilometers per hour? How many kilometers will the cyclist travel in 4 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.
Answer:
Step-by-step explanation:
Speed = (15 mi)/hr × (1.6 km)/mi = (24 km)/hr
:::::
(4 hr) × (24 km)/hr = 96 km
can someone help me pls
Answer:
D NO IS THE WRITE ANSWER .
Answer:
D)
Step-by-step explanation:
In the equation 11 - 4(x +4) = 6x, the first step is to simplify 11 - 4.
True
False
Answer:
False
Step-by-step explanation:
You first need to distribute the -4 to (x+4).
Find the measure of x. X=8, x=7, x=9, x=11
Answer:
[tex]\frac{135}{15} =\frac{15(x+2)}{15}[/tex]
[tex]9=x+2[/tex]
[tex]x=7[/tex]
OAmalOHopeO
SI unit of areaWhat is the SI unit of area
square meter is the SI unit of area.
According to Fidelity Investment Vision Magazine, the average weekly allowance of children varies directly as their grade level. In a recent year, the average allowance of a 9th-grade student was 9.66 dollars per week. What was the average weekly allowance of a 5 th-grade student?
The average weekly allowance of a 5th grade student as calculated using direct variation with the information provided by Fidelity Investment Vision Magazine is 5.367 dollars per week.
The question given is a direct variation problem:
Let:
• Average weekly allowance = [tex]a[/tex]
• Grade level = [tex]g[/tex]
If Average weekly allowance varies directly as grade level , then , then the direct variation between the variables can be expressed as :
[tex]a = k * g[/tex]
Where , [tex]k[/tex] = constant of proportionality
We can obtain the value of k from the given values of a and g
[tex]9.66 = k * 9\\9.66 = 9k\\k = 9.66/9[/tex]
Our equation becomes:
[tex]a = (9.66/9) * g[/tex]
[tex]a = (9.66/9) * 5\\a = 5.367[/tex] (rounded to 3 decimal places)
Hence, using proportional relationship, the average weekly allowance for a 5th grade student is [tex]5.367[/tex] per week
Learn more about direct variation here:
https://brainly.com/question/17257139
write the first 10 multiplies of 6 and 8 pairs of numbers and find this LCM
↪[tex] \huge\rm{answer: } \: \boxed{ \purple{24 }}[/tex]
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
M(6)= {0, 6, 12, 18, 24, 30, 36, 42, 48, 54, 60 ...}
M(8) = {0, 8, 16, 24, 32, 40, 48, 56, 64, 72, 80...}
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
I hope you understood!✏
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
[tex] \huge\boxed{ \boxed{ \rm{Hope \: this \: helps }}}[/tex]
Answer:
6=0,6,12,18,24,30,36,42,48,54,60
8=0,8,16,24,32,40,48,56,64,72,80
HCF=24,48
LCM=0,6,12,18,,30,36,42,48,54,60,8,16,24,32,40,,56,64,72,80
A group consists of 5 men and 8 women. 4 people are selected to attend a conference.
a. In how many ways can 4 people be selected from this group of 13?
b. In how many ways can 4 women be selected from the 8 women?
c. Find the probability that the selected group will consist of all women.
a. The number of ways to select 4 people from the group of 13 is ___.
b. The number of ways to select 4 women from the group of 8 women is ___.
c. The probability is ___.
(Type an integer or a simplified fraction.)
Answer:
in four (4) ways 4 people can be selected
What must be true about the discriminant of this quadratic equation for the mentioned values of k? Assume p>0.
value of the discriminant k > 0
Options:
B^2 - 4ac= 0
B^2 - 4ac is greater than 0
B^2 - 4ac is less than 0
Answer:
Step-by-step explanation:b
No real roots. Roots will have imaginary numbers. This means the quadratic is either always above the axis, or always below.
One real root. The graph touches the x -axis in one place. →
Two real roots. The graph crosses the x -axis twice.
if a/b = 3 and a + b = 2, what is a - b
Answer:
1
Step-by-step explanation:
a/b=3------equation 1
a+b=2-----equation 2
from equation 2
b=2-a
substitute b=2-a in equation 1
a/2-a=3
a=3(2-a)
a=6-3a
a+3a=6
a=6/4
a=3/2
substitute a=3/2 in equation 2
3/2+b=2
3+2b=4
2b=1
b=1/2
a-b=3/2-1/2
a-b=(3-1)/2
a-b=2/2
a-b=1
A magazine conducted a survey among its readers in a certain state. They reported the following results:
Out of 1200 respondents, 312 are professionals, 470 are married, 524 are college graduates, 193 are professional college graduates, 178 are married college graduates, 136 are married professionals, and 35 are married professional college graduates.
What is the probability that a randomly selected reader in that state is:
a. Either married, or a college graduate, or a professional?
b. Neither married, nor a college graduate, nor a professional?
Answer:
The answer is "0.695 and 0.305".
Step-by-step explanation:
Please find the attached file of the given question:
From question a:
[tex]\text{P(Either married, or a college graduate, or a professional)} \\\\=\frac{(312+143+188+191)}{1200}\\ \\ =\frac{834}{1200}\\\\=0.695[/tex]
From question b:
[tex]\text{P( Neither married, nor a college graduate, nor a professional )}\\\\=\frac{366}{1200} \\\\=0.305[/tex]