Answer:
The correct answer is 56.6666666667 second's
Answer:
56 2/3
Step-by-step explanation:
What is the volume of a sphere with a diameter of 6 m, rounded to the nearest tenth of a cubic meter?
Answer:113 cubic meter
Step-by-step explanation:
Diameter=6
Radius=r=6/2
Radius=r=3
π=3.14
Volume of sphere=4/3 x π x r x r x r
Volume of sphere=4/3 x 3.14 x 3 x 3 x 3
Volume of sphere=(4x3.14x3x3x3) ➗ 3
Volume of sphere=339.12 ➗ 3
Volume of sphere=113.04
Volume of sphere =113 cubic meter
Find the radius of Circle M, if the area of a sector is 36.07 cm^2 and the central angle of that sector is 58º. Round your answers to the hundredths place if necessary
Answer:
r = 5.97 cm
Step-by-step explanation:
The area of the sector is given by the following equation:
[tex]A = r*S = 2\pi*r^{2}*\frac{58}{360}[/tex]
Where:
r: is the radius
A: is the area
The radius is:
[tex]r = \sqrt{\frac{A}{2*\pi*58/360}} = \sqrt{\frac{36.07 cm^{2}}{2*\pi*58/360}} = 5.97 cm[/tex]
Therefore, the radius of Circle M is 5.97 cm.
I hope it helps you!
The diameter of a cylindrical water tank is 8 ft, and its height is 9 ft. What is the volume of the tank?
Use the value 3.14 for it, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Answer:
The volume of the tank is [tex]452\ \text{feet}^3[/tex].
Step-by-step explanation:
We have,
Diameter of a cylindrical water tank is 8 ft
Height of the water tank is 9 ft.
It is required to find the volume of the tank. The volume of a cylindrical shaped object is given by :
[tex]V=\pi r^2h[/tex]
r is radius of cylindrical tank, r = 4 ft
Plugging all the values in above formula,
[tex]V=3.14\times (4)^2\times 9\\\\V=452.16\ \text{feet}^3[/tex]
or
[tex]V=452\ \text{feet}^3[/tex]
So, the volume of the tank is [tex]452\ \text{feet}^3[/tex].
My ice maker created the perfect cube today. Each side was 22 mm.
What is the volume of the ice cube?
i will rate you
brainliest PLZ HELP
You will get 25 points
Answer:
i can not see the picture can you describe it
Step-by-step explanation:
If h = 85 cm and 1 = 36 cm, what is the length of g?
A. 77 cm
B.
92 cm
C
49 cm
D
75 cm
Answer:A
Step-by-step explanation:
h=85 f=36
Since it is a right angled triangle we can apply Pythagoras principle to get g
g=√(h^2 - f^2)
g=√(85^2 - 36^2)
g=√(85x85 - 36x36)
g=√(7225 - 1296)
g=√(5929)
g=77
When you cough,the radius of your trachea (windpipe) decreases,affecting the speed S of the air in the trachea. If r0 is the normal radius of the trachea, the relationship between the speed S of the air and the radius r of the trachea during a cough is given by a function of the form
S(r) = (r0 - r) ar^2
where a is positive constant. Find the radius r for which the speed of the air is greatest.
Answer: 2r(0)/3.
Step-by-step explanation:
So, we are given one Important data or o or parameter in the question above and that is the function of the form which is given below(that is);
S(r) = (r0 - r) ar^2 -----------------------------(1).
We will now have to differentiate S(r) with respect to r, so, check below for the differentiation:
dS/dr = 2ar (r0 - r ) + ar^2 (-1 ) ---------;(2).
dS/dr = 2ar(r0) - 2ar^2 - ar^2.
dS/dr = - 3ar^2 + 2ar(r0) ------------------(3).
Note that dS/dr = 0.
Hence, - 3ar^2 + 2ar(r0) = 0.
Making ra the subject of the formula we have;
ra[ - 3r + 2r(0) ] = 0. -------------------------(4).
Hence, r = 0 and r = 2r(0) / 3.
If we take the second derivative of S(r) too, we will have;
d^2S/dr = -6ar + 2ar(0). -------------------(5).
+ 2ar(0) > 0 for r = 0; and r = 2r(0)/3 which is the greatest.
Answer:
[tex]r =\frac{2r_{0}}{3}[/tex]
Step-by-step explanation:
We need to take the derivative of S(r) and equal to zero to maximize the function. In this conditions we will find the radius r for which the speed of the air is greatest.
Let's take the derivative:
[tex]\frac{dS}{dr}=a(2r(r_{0}-r)+r^{2}(-1))[/tex]
[tex]\frac{dS}{dr}=a(2r*r_{0}-2r^{2}-r^{2})[/tex]
[tex]\frac{dS}{dr}=a(2r*r_{0}-3r^{2})[/tex]
[tex]\frac{dS}{dr}=ar(2r_{0}-3r)[/tex]
Let's equal it to zero, to maximize S.
[tex]0=ar(2r_{0}-3r)[/tex]
We will have two solutions:
[tex]r = 0[/tex]
[tex]r =\frac{2r_{0}}{3}[/tex]
Therefore the value of r for which the speed of the air is greatest is [tex]r =\frac{2r_{0}}{3}[/tex].
I hope it helps you!
Complete A and B for 5-8 points.
Answer:
a) 4 hours
b) 11 am
Step-by-step explanation:
So say the number of hours is x
a) 72 + 6x = 96
6x = 24
x = 4
b) 7am + 4 hours = 11am
Which goes with which
list all the factor means use divisibility rules of 102,232
Answer:
102,232 = 2·2·2·13·983
Step-by-step explanation:
102,232 ends in 32, so is divisible by 4
102,232/4 = 25558 ends in 2, so is divisible by 2
25558/2 = 12779
is not even, so is not divisible by 2
has a sum of digits mod 9 of 8, so is not divisible by 3 or 9
does not end in 0 or 5, so is not divisible by 5
gives the result 1277-2·9 = 1259; 125-2·9 = 107; 10-2·7 = -4, which is not zero, so 12779 is not divisible by 7
gives the result (1+7+9)-(2+7) = 8, which is not divisible by 11, so 12779 is not divisible by 11
gives the result 1277 +4·9 = 1313, which is divisible by 13, so 12779 is divisible by 13
12779/13 = 983 needs to be tested for divisibility by primes between 17 and 31, namely 17, 19, 23, 29, 31. It is not divisible by any of these, so this is the last prime factor of 102,232:
102,323 = 2·2·2·13·983
_____
Divisibility rules:
Note that for any transformation rule, the rule can be repeated on the reduced result. The digits of a sum of digits can be summed, for example.
2: ends in even digit
3: sum of digits is divisible by 3
5: ends in 0 or 5
7: subtracting 2 times the last digit from the rest is divisible by 7
11: difference of sums of alternate digits is divisible by 11
13: there are several rules. A couple of useful ones are
the sum of 4 times the last digit and the remaining number will be divisible by 13 (used above)the difference of the sums of alternate groups of 3 digits will be divisible by 13 (232-102 = 130, for the number above; is divisible)17: subtracting 5 times the last digit from the rest is divisible by 17
19: the sum of 4 times the last 2 digits and the remaining number will be divisible by 19
23: the sum of 3 times the last 2 digits and the remaining number will be divisible by 23
29: the sum of 9 times the last 2 digits and the remaining number will be divisible by 29
31: subtracting 3 times the last digit from the rest is divisible by 31
Which expression is equivalent to (1/16)^-4?
Answer:
Answer: Option B. 16^4 is the correct answer.
Step-by-step explanation:
Answer:
Step-by-step explanation:
b
faz um bom tempo que não faço expressões numéricas,vcs podem me ajudar!
Answer:
English Plz
Step-by-step explanation:
Select the correct symbol to compare the rates.
22 miles in 20 minutes 38 miles in 30 minutes
Answer:
<
Step-by-step explanation:
22/20=1.1
38/30=1.27
Answer:
<
Step-by-step explanation:
On the first day of school, each student is given $0.50 to attend. On day two, each student earns $1.00. on day 3, $2.00, etc. How much do students earn on the 9th day
Answer:
255.50
Step-by-step explanation:
If each day the number is doubled, then all you must do is keep on doubling to the ninth day and then add it all together
Which equation represents a nonlinear function?
A) y=2(x-1)+5
B)y=5x(x-2)
C) y=5x-2
D)y=2x(5-1)
Answer:
B.)
Step-by-step explanation:
A linear equation, remember, is y = mx + b.
Identify.
A.) y = 2x + 3
B.) y = 5x^2 - 10x
C.) y = 5x - 2
D.) y = 8x
Eliminate.
Obviously, B.) is not correct because it doesn't follow the y = mx + b format because 5x is squared.
Hope that helped.
Find the area of the shaded region and choose the appropriate result?
Answer:
Option B
Step-by-step explanation:
The figures are made out of squares.
[tex]\text {Formula for area of a square: } A =s^2\\s-\text {Length of side.}[/tex]
Square 1 (the gray square):
The side measure is 4 cm.
[tex]A = 4^2 = 16cm^2[/tex]
Square 2 (white square):
The side measure is 2 cm.
[tex]A=2^2=4cm^2[/tex]
Subtract the area of the white square from the gray square to get the area of the shaded region:
[tex]16 - 4 =12[/tex]
The shaded region is [tex]12cm^2[/tex].
Option B should be the correct answer.
Brainilest Appreciated!
Factor.
Z^2- 3z – 18
Answer:
(z-6)(z+3)
Step-by-step explanation:
Answer:
Step-by-step explanation:
z^2-6z + 3z -18
z(z-6)+3(z-6)
(z+3)(z-6)
Zoe says an equilateral triangle is always an acute triangle, but an acute triangle is never an equilateral triangle. Which statement explains whether Zoe is correct or not?
Zoe is not correct because equilateral triangles are acute triangles with three sides of equal length. Acute triangles can sometimes be equilateral triangles.
Zoe is not correct because equilateral triangles have three acute angles. Acute triangles have three acute angles, so acute triangles are always equilateral triangles.
Zoe is correct because equilateral triangles have three sides of equal length, and acute triangles have three sides of different lengths.
Zoe is correct because equilateral triangles have three acute angles. Acute triangles have one acute angle, so an acute triangle cannot be an equilateral triangle.
THE ANSWER IS NOT C
Answer:
Zoe is not correct because equilateral triangles are acute triangles with three sides of equal length. Acute triangles can sometimes be equilateral triangles.
Step-by-step explanation:
Logically, it makes no sense for Zoe to say, in effect, ...
"All E are A, but A are never E."
That is incorrect on its face. At least, it means that "sometimes A are E."
__
The appropriate choice is the first one:
Zoe is not correct because equilateral triangles are acute triangles with three sides of equal length. Acute triangles can sometimes be equilateral triangles.
Find the sum of the geometric series 1−0.99+0.99^2−0.99 ^3 +...−0.99
Answer:
0.28
Step-by-step explanation:
The sum of the geometric value progression is S = 0.28
What is Geometric Progression?A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.
The nth term of a GP is aₙ = arⁿ⁻¹
The general form of a GP is a, ar, ar2, ar3 and so on
Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )
Given data ,
Let the sequence be A = { 1 - 0.99 + 0.99² - 0.99³... - 0.99⁷⁹ }
So , A = 1 - { 0.99 - 0.99² + 0.99³... + 0.99⁷⁹ }
Let the first term of the GP be a₁ = 0.99
Now , the common ratio of GP , r = 0.99
And , the number of terms in GP = 80
And , Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )
On simplifying , we get
S₈₀ = 0.99 ( 1 - 0.99⁸⁰ ) ( 1 - 0.99 )
On further simplification , we get
S₈₀ = 0.7224
So , the sum of the GP is S = 1 - S₈₀ = 0.28
Hence , the sum of GP is 0.28
To learn more about geometric progression click :
https://brainly.com/question/1522572
#SPJ3
8 cm
Answer:
cm
Part B
Find circumference of the circle. Use
= 3.14.
A 25. 12 cm
B 50.24 cm
C 73.06 cm
D
200.96 cm
Answer:
D.200.96 cm
Step-by-step explanation:
Given radius (R) = 8
Diameter = 2R = 16
Circumference = 2πR
= 16π
= 50.265482457437
Area = πR2
= 64π
= 201.06192982975
Prob-4 Pressurized air are being used in a manufacturing company in its daily operation. There are three compressors in service; two-screw type compressors, (S1 ,S2) and one-reciprocal type compressor,(R). Each compressor, at any given time, is either off (0), or on (1) . Assume that event A is denoted to reciprocal compressor (R) that is always off . Event B is denoted that at least one of the screw type of compressor is always on. Assume that all outcomes in event B are equally likely. If P(A∩B)=45% and P(A∪B)=93%. Compute the probability that all compressors are off
Answer:
The probability that all compressors are off = P(A ∩ B') = 0.18
Step-by-step explanation:
Event A is denoted to reciprocal compressor (R) that is always off.
Event B is denoted that at least one of the screw type of compressor is always on.
P(A) = Probability that the reciprocal compressor is off.
P(A') = Probability that the reciprocal compressor is on.
P(B) = Probability that at least one of the screw type of compressor is on.
P(B') = Probability that at least one of the screw type of compressor is off.
P(A ∩ B) = 45% = 0.45
P(A ∪ B) = 93% = 0.93
P(U) = P(A ∪ B) + P(A' ∩ B')
1 = 0.93 + P(A' ∩ B')
P(A' ∩ B') = 1 - 0.93 = 0.07
The probability that all compressors are off is given as P(A ∩ B')
P(A) = P(A n B') + P(A n B)
P(B) = P(A n B) + P(A' n B)
The question asks us to assume that all outcomes in event B are equally likely.
The possible outcomes in event B include
- The two compressors are on
- First compressor is on, second compressor is off
- Second compressor is on, first compressor is off
- both compressors are off
Since all the outcomes are equally likely, the probability that at least one of the two compressors is on = (3/4) = 0.75 = P(B)
P(B) = P(A n B) + P(A' n B)
0.75 = 0.45 + P(A' n B)
P(A' n B) = 0.75 - 0.45 = 0.30
P(A ∪ B) = P(A ∩ B') + P(A' ∩ B) + P(A ∩ B)
0.93 = P(A ∩ B') + 0.30 + 0.45
P(A ∩ B') = 0.93 - 0.30 - 0.45 = 0.18
Hope this Helps!!!
what is (4 to the square root of 81)5?
Answer:
1310720
Step-by-step explanation:
Find out the frist part "4 to the square root of 81" 262144
then times it by 5
to get 1310720
GIVING BRANLIEST Which prism has a greater surface area?
2 prisms. A rectangular prism has a length of 12 inches, height of 8 inches, and width of 6 inches. A triangular prism has a rectangular base with a length of 6 inches and height of 12 inches. 2 rectangular sides are 12 inches by 10 inches. The triangular sides have a base of 6 inches an height of 8 inches.
The rectangular prism has a greater surface area by 72 square inches.
The rectangular prism has a greater surface area by 88 square inches.
The triangular prism has a greater surface area by 72 square inches.
The triangular prism has a greater surface area by 88 square inches.
Answer:
Rectangular prism
Step-by-step explanation:
Collete mapped her vegetable garden on the graph below. Each unit represents 1 foot.
Collete plants an 8-foot row of lettuce in the garden. Which points could tell where the row of
lettuce starts and ends?
(-4,-1) and (-4,7)
| (-1, –4) a (
74)
(-1,-6) and (8,-6)
(-6, -1) and (-6,8)
Answer:
(-4,-1) and (-4,7)Step-by-step explanation:
If Collete planted a row of lettuce, that means their coordinates must have the same vertical coordinate, or the same horizontal coordinate. Another important characteristic is that between those points, there must have 8 units of separation, because it's an 8-foot row.
Only the first choice offers these characteristic to properly represent the row of plants with 8 feet distance between the first and the last plant.
Therefore, the answer is (-4,-1) and (-4,7)
Answer:
(-4, -1) and (-4, 7)
Step-by-step explanation:
I did the quiz
Identify the graph of the equation... Then find q to the nearest degree.
16x^2+2xy+y^2-16=0
Answer:
ellipse ; 4 degrees
Step-by-step explanation:
edge’s possible answer 2020
what is the equation of the line?
Answer:
y=a
Step-by-step explanation:
1. To measure the resting heart rate of an animal biologist use the function h(m) = 530m-C), where h
is resting heart rate in beats per minute, given the mass m in pounds.
Part A: What is a feasible domain for the function him?
Answer:
Step-by-step explanation:
In mathematics, the domain or set of departure of a function is the set into which all of the input of the function is constrained to fall. It is the set X in the notation f: X → Y. Since a function is defined on its entire domain, its domain coincides with its domain of definition, the subset of the domain for which the function associates an image. However this coincidence is no longer true for a partial function since the domain of definition of a partial function can be a proper subset of the domain.
x^2 = 8x - 15
.......................
Answer: x= 5
Step-by-step explanation: Lets solve by completing the square.
You first need to get -15 by itself.
x^2-8x=15 Now you need to complete the square my finding a perfect constant that will go with x^2-8x, then add it to the other side containing -15 to balance the equation out.
-8x/2= -4^2=16 This will be the perfect square.
x^2-8x+16 = -15 + 16
(x-4)^2 = 1 factor into a binomial, then use the square root on both sides.
√ x-4 ^ 2 = √ 1
x-4 = 1
x=5
B(4,8) and C(8,0) are the endpoints of a line segment. What is the midpoint M of that line
segment?
Write the coordinates as decimals or integers.
Answer:
(6,4)
Step-by-step explanation:
I just did quick math in my head.
A physical education class has 21 boys and 9 girls. Each day, the teacher randomly selects a team captain. Assume that no student is absent. What is the probability that the team captain is a girl two days in a row?
The probability of choosing a captain that is a girl two days in a row is
9
%.
Answer:9%
U already provided the answer. Anyways have a good day!!
The probability of choosing a captain that is a girl two days in a row is 9%
How to determine the probability?The given parameters are:
Boys = 21
Girls = 9
The total number of students is
Total = 21 + 9
Total = 30
This means that the probability of selecting a girl is:
P(Girl) = 9/30
For two days, the required probability is
P = 9/30 * 9/30
Evaluate
P = 9%
Hence, the probability of choosing a captain that is a girl two days in a row is 9%
Read more about probability at:
https://brainly.com/question/251701
#SPJ2
