Answer:
The approximate diameter of the larger tank is 8.10 meters
Step-by-step explanation:
Here, we want to calculate the diameter of the larger tank
The volume of a sphere
V = 4/3 * π * r^3
Let us calculate the volume of the standard model
That will be;
Since diameter is 6 and r = d/2
r = 6/2 = 3 meters
V = 4/3 * π * 3^3 = 36 π m^3
Now, the volume of the larger tank is 2.5 times of this;
The volume of the larger tank is 2.5 * 36 π = 90 π m^3
So we can calculate the radius of this before we calculate its diameter
4/3 * π * r^3 = 90 π
4r^3/3 = 90
r^3 = 270/4
r^3 = 67.5
r = 3x√(67.5)
r = 4.07 m
Diameter here is 2 times this
= 4.07 * 2 = 8.14
Answer:
8.1
Step-by-step explanation:
Find each angle measure in the triangle.
Step-by-step explanation:
2x + 3x + 4x = 180
9x = 180
x = 20
2x = 2(20)=40
3x = 3(20)=60
4x = 4(20)=80
HELP HELP PLEASE IMPORTANT
Answer:
2010
Step-by-step explanation:
1/2(24)(20)=240
50*45=2250
2250-240=2010
Each person in a certain group supports only one of the two candidates R and T. Of the people in the group, 45 percent support Candidate R and the rest support Candidate T. How many people in the group are in favor of a flat tax
Missing Information:
Of the people in the group who support Candidate R, 58 percent are in favor of flat tax Of the people in the group who support Candidate T, 22 are in favor of a flat tax.Answer:
[tex]Total = 26.1\%N + 22[/tex]
Step-by-step explanation:
Given
[tex]R = 45\%[/tex] -- [tex]Percentage[/tex] [tex]of\ R[/tex] in the total population
[tex]Favor\ Flat\ Tax = 58\%[/tex] in group R
[tex]Favor\ Flat\ Tax = 22[/tex] in group T
Required
Determine the number of people that supports T
First, the proportion of those that supports flax rate in R needs to be calculated.
[tex]Proportion = 45\% * 58\%[/tex]
[tex]Proportion = 26.1\%[/tex]
So, those that favor flat tax rate in group R are:
[tex]Favor\ Flat\ Tax = 26.1\%N[/tex]
Where N represents the total population.
Total number of people that supports the flax tax rate is gotten by adding people that support flat tax rate in each group.
[tex]Total = Group\ R + Group\ T[/tex]
[tex]Total = 26.1\%N + 22[/tex]
The total charge for a taxi ride includes an initial fee of $2.75 plus $2.25 for every 1/2
mile traveled. The ride cost him $56.75. How many miles did he travel in the taxi?
Answer:
12 miles
Step-by-step explanation
56.75 - 2.75 = 54
1/2(54/2.25)
The number of goals scored by a soccer team varies directly as the number of shots on goal. If the lakeside bears scored 4 goals after 48 shots on goal, how many more shots on goal should the team game to score 3 more goals
Answer:4x
Step-by-step explanation:
Find each product. Write your answer in standard form.
5. (3a - 3)(5a + 5)
the graph below shows the cost of tomato plants for each plant purchased. What is the cost of one tomato plant.
Answer:
2.50
Step-by-step explanation:
Answer:
2.5 so $2.50 is your awnser
What is 7 divided by 9.8?
Answer:
The answer is 0.71
Step-by-step explanation:
I divided it
10x -9y=-14
-5x+6y=16
Answer:
x=4 y=6
Step-by-step explanation:
need some help (Geo)
In 2012, the population of a city was 5.69 million. The exponential growth rate was 2.87% per year. a) Find the exponential growth function. b) Estimate the population of the city in 2018. c) When will the population of the city be 8 million? d) Find the doubling time. a) The exponential growth function is P(t) nothing, where t is in terms of the number of years since 2012 and P(t) is the population in millions. (Type exponential notation with positive exponents. Do not simplify. Use integers or decimals for any numbers in the equation.)
Answer:
a) The exponential growth function
P(t) = 5,690,000(1.0287)^t
b) 6,742,868.7374 million
c) 12.04 years
d) 2439.0243902
Step-by-step explanation:
In 2012, the population of a city was 5.69 million. The exponential growth rate was 2.87% per year.
The formula for exponential growth is given as:
P(t) = Po( 1 + r) ^t
Where P = Population size after time t
Po = Initial population size
r = Growth rate in percentage
t= time in years
a) Find the exponential growth function.
P(t) = Population size after time t
Po = Initial population size = 5.69 million
r = Growth rate in percentage = 2.87% = 0.0287
t= time in years
The Exponential growth function
P(t) = 5,690,000(1 + 0.0287)^t
P(t) = 5,690,000(1.0287)^t
b) Estimate the population of the city in 2018.
From 2012 to 2018 = 6 years
t = 6 years
Hence,
P(t) = Po( 1 + r) ^t
P(t) = 5,690,000(1 + 0.0287)^6
P(t) = 5,690,000(1.0287)^6
P(t) = 6,742,868.7374 million
c) When will the population of the city be 8 million?
P(t) = 8,000,000
P(t) = Po( 1 + r) ^t
P(t) = 5,690,000(1 + 0.0287)^t
8,000,000 = 5,690,000(1 + 0.0287)^t
8,000,000 = 5,690,000(1.0287)^t
Divide both sides by 5,690,000
8,000,00/5,690,000 = 5,690,000(1.0287)^t/5,690,000
= 1.4059753954 = 1.0287^t
Take logarithm of both sides
log 1.4059753954 = log 1.0287^t
Log 1.4059753954 =t Log 1.0287
t = Log 1.4059753954/Log 1.0287
t = 12.041740264
t = 12.04 years
d) Find the doubling time.
The formula is given as 70/Growth rate
= 70/0.0287
= 2439.0243902
What is the solution to this equation? t =
Answer:
the person above me is correct it is 14.5
Step-by-step explanation:
:)
The solution to given equation is 91.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
The given equation is t-15=76.
Here, transpose 15 to RHS of the equation, we get
t=15+76
t=91
Therefore, the value of t from the given equation is 91.
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"Your question is incomplete, probably the complete question/missing part is:"
What is the solution to the equation?
t-15=76
A triangle has a base length of 12 inches and a height of 14 inches. From that
information, answer the following:
What is the area?
Your answer must be simplified.
−3 < x -10
Answer:
7 < x
Step-by-step explanation:
−3 < x -10
Add 10 to each side
−3+10 < x -10+10
7 < x
The diameter of a circle measures 14 m. What is the circumference of the circle?
Use 3.14 for n, and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
Step-by-step explanation:
The circumference is either pi*d or 2 pi r
Use pi*d
3.14 * 14 = 43.96
Answer:
43.96 m
Step-by-step explanation:
[tex]C = \pi \: d = 3.14 \times 14 = 43.96 \: m[/tex]
what is it???????????
Answer:
4/5
Step-by-step explanation:
The rise is 4, and the run is 5. The rise comes first, so the answer is 4/5. The line is positive.
Answer:
slope = 4/5
Step-by-step explanation:
The best way to find the slope with just a line is to pick the most direct points on the graph, meaning points that are not in between numbers but right on the graph lines
y value - y value over x value - x value
Points: (-2,0) and (3,4)
4-0 = 4
3-(-2) = 5
4/5
9,492÷20=
WITH REMAINDER
Answer:
9492 divided by 20 equals
474 with a remainder of 12
Step-by-step explanation:
or 2373/5 or 474.6
The sum of the speeds of two trains is 717.4 miles per hour. If the speed of the first train is 4.6 miles per hour faster than that of the second train, find the speed of each
Answer:
The second train speed is 356.4 miles per hour
And, the first train speed is 361 miles per hour
Step-by-step explanation:
The computation of the speed of each train is as follows
Given that
The Sum of the speed of two trains is 717.4 miles per hour
Let us suppose the second train speed be x
So for the first train, the speed is x + 4.6
Now the equation is
x + x + 4.6 = 717.4
2x + 4.6 = 717.4
2x = 717.4 - 4.6
2x = 712.8
x= 356.4
Therefore the second train speed is 356.4 miles per hour
And, the first train speed is = 356.4 + 4.6 = 361 miles per hour
Esmeralda received a bag of jellybeans that contained a mixture of regular flavored jellybeans and "surprise" jellybeans. The bag advertised that 15% of the jellybeans were "surprise" flavors. If she counted 40 jellybeans in the bag, how many should she expect to be the "surprise" jellybeans?
Answer:
6 jellybean
Step-by-step explanation:
Given that:
Esmeralda received a bag of jellybean the contains regular flavored jelly beans and surprise jelly bean.
Consider the regular flavored jellybean to be = r; &
The surprise jelly bean.= s
From the bag, there are 40 jellybeans of which 15% is surprise jellybean.
Therefore the number of expected surprise jellybeans is:
= total number of jellybeans × percentage of surprise jellybean
= 40 × (15 /100)
= 6 jellybean
If 6 surprise jellybean is presented in the bag; then the number of regular flavored jellybean = 40 - 6 = 34 regular flavored jellybean
If the length of a side of a square is increased by 3 cm, the perimeter of the new square is 40 cm more than twice the length of a side of the original square. Find the dimensions of the original square
Answer:
4cm by 4cm
Step-by-step explanation:
x+3+x+3+x+3+x+3=40
4x+12=40
4x=40-12
4x=28
x=28/4
x=7
original dimension=7-3
=4cm
The required original dimension of the square is 7.
Given that,
If the length of a side of a square is increased by 3 cm, the perimeter of the new square is 40 cm more than twice the length of a side of the original square. To determine the dimensions of the original square.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Let the length of the square be x,
Now,
According to the question,
The perimeter of the square = 40
4 (x + 3) = 40
x + 3 = 10
x = 7
Thus, the required dimension of the square is 7.
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Which fraction is equivalent to 2/4
Answer: 1/2
Step-by-step explanation:
2/4=1/2
Answer: Yes, 1/2, ,2/4, and 4/8 are all equal because if they are all one half, then they are equal.
Step-by-step explanation:
The diagram below represents the shape of the floor of a hotel lobby. The hotel plans on replacing the carpet in the lobby
12
1
1 14 11
1
1
1121
13 ft
! 11 ft
31 tt
Part A: What is the total area of the hotel lobby floor?
ft?
Part B: If the new carpet costs $1.75 per square foot, how much with the hotel spend on new carpet?
Answer:.
Step-by-step explanation:
Find the missing length of the similar figures.
Find the distance between Riverside and Milton if they are 12 cm apart on a map with a scale of 4 cm : 21 km.
Answer:
63 km
Step-by-step explanation:
divide 12 by 4 =3
multiply 3 by 21 which is 63.
Find the total cost of buying a product that cost $12 if it is 25% off. DO NOT PUT A $. Only numbers.
Answer:
the answer will be 9 dollars
Explanation:
The discount of 25% off means you save 0.25*12 = 3 dollars, meaning the final cost is 12-3 = 9 dollars.
Or you can think of it like this: if you save 25%, then you still pay the remaining 75%. So 0.75*12 = 9 dollars is the total cost.
Solve for x !!!!!!!!!!!
Answer:
C
Step-by-step explanation:
Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
30
20
M
16
a.
16 24
8
15
30
20
b
16
24
4
-
20
30
5
C
16
20
24
30 3به ایا امه
d.
15
30
16
20
24
< Previous Activity
Answer: its d
Step-by-step explanation:
Solve the formula for the specified variable.
d = bx for b
Answer:
d/x
Step-by-step explanation:
[tex]d=bx\\\frac{d}{x} =b[/tex]
what percent of 30 is 12?
Y greater than or less than 1/4 X + 2
Answer:
y[tex]\geq[/tex]1/4x+2
Step-by-step explanation:
Can somebody help me solve this equation?