Answer:
volume of empty space = 141.3 cm³
Step-by-step explanation:
volume of empty space = volume of the cylinder - volume of water
First, we need to calculate the volume of the container
volume of a cylinder = πr²h
where r = radius of the container and h is the height of the container
r = 3cm and h = 12 cm π is a constant which is ≈ 3.14
volume of a cylinder = πr²h
=3.14 × 3²×12
=3.14×9×12
=339.12 cm³
We will proceed to find the volume of water
since liquid will take the shape of its container,
then volume of water = πr²h
r is the radius of the container and h is the height of the water
r = 3cm and h = 7cm
volume of water = πr²h
= 3.14 ×3²×7
=3.14×9×7
=197.82 cm³
volume of empty space = volume of the cylinder - volume of water
=339.12 cm³ - 197.82 cm³
= 141.3 cm³
OR
WE CAN SOLVE DIRECTLY
height of empty space = height of container - height of water
= 12 - 7
=5 cm
volume of empty space = πr²h
=3.14×3²×5
=3.14×9×5
=141.3 cm³
volume of empty space = 141.3 cm³
The volume of the empty space in the cylinder is equal to the difference between the volume of the cylinder and the volume of water in the cylinder.
The volume of the cylinder can be calculated using the formula:
V = πr^2h
where V is the volume, r is the radius, and h is the height.
Substituting the given values, we get:
V = π(3 cm)^2(12 cm)
V ≈ 339.3 cubic centimeters
The volume of water in the cylinder can be calculated by multiplying the cross-sectional area of the cylinder by the height of the water:
V_water = πr^2h_water
where V_water is the volume of water and h_water is the height of the water.
Substituting the given values, we get:
V_water = π(3 cm)^2(7 cm)
V_water ≈ 197.9 cubic centimeters
Therefore, the volume of empty space in the cylinder is:
V_empty = V - V_water
V_empty ≈ 339.3 - 197.9
V_empty ≈ 141.4 cubic centimeters
So, the volume of empty space in the cylinder is approximately 141.4 cubic centimeters.
Find the probability of
1: choosing a yellow marble from a bag that contains 6 yellow marbles and 8 red marbles,
and
2: flipping a coin and it showing heads.
Answer:
1)probability of choosing a yellow marble is 6/14 or 3/7(in lowest terms)
2)probability of showing its heads is 1/2
Find the probability of
1: choosing a yellow marble from a bag that contains 6 yellow marbles and 8 red marbles,
and
2: flipping a coin and it showing heads.
Answer:
1ans) 6/14 or 3/7 probability
2ans) 1/2 or a 50% chance
I need help pleasureeee
Answer:
no u
Step-by-step explanation:
Answer:
t + 3 years old
Step-by-step explanation:
t + 3 = Scott's age
A cell phone company charges $42 per month of service. The cost of a new
cell phone, plus 8 months of service, is $415.99. How much does it cost to
buy a new cell phone and 3 months of service?
Answer:
$1247.97
Step-by-step explanation:
$42 per month of service
new phone monthly service is $415.99
415.99 x 3 = 1247.97
Scientists determined that Antarctica's average winter temperature was -34.44 degrees Celsius. The difference between this and Antarctica's highest recorded temperature was 49.44 degrees. What was Antarctica's highest recorded temperature? (7th grade work)
Answer:
Antarctica's highest recorded temperature was 15 degrees.
Step-by-step explanation:
I am going to say that Antarctica highest recorded temperature is x.
I suppose there is a small typing mistake.
It is that the difference between Antarctica highest recorded temperature and this is 49.44.
So we have that x - (-34.44) = 49.44 instead of -34.44 - x = 49.44, which would lead to a highest temperature way lower than the one recorded in this winter.
So
x - (-34.44) = 49.44
x + 34.44 = 49.44
x = 49.44 - 34.44
x = 15
Antarctica's highest recorded temperature was 15 degrees.
Answer:
15 degrees
Step-by-step explanation:
A company recorded 2 days of accrued salaries of $2,200 for its employees on January 31. On February 9, it paid its employees $8,600 for these accrued salaries and for other salaries earned through February 9. Assuming the company does not prepare reversing entries, the January 31 and February 9 journal entries are:
someone please help me!! i kept get this one wrong im trynna get a 100%
question:
a sweater is marked down 15% off the original price. if the original price was $49.00, what is the sale price for the sweater before sales tax?
Answer:
41.65
Step-by-step explanation:
Multiply 49 by 0.15 and then subtract that number from 49.
Ashley said 3/4 of her stuffed animals have buttons eyes. Pam said Ashley has 15 stuffed animals. is it possible that Pam is correct? Please explain.
Answer:
Pam is correct.
Step-by-step explanation:
Divide 15 by 3 = 5
5 x 4 = 20, the total of toys she has.
Can someone pls help! I'm desperate Tickets to a Broadway show cost $50 for adults and $25 for children. The total receipts for 1710 tickets at one performance were $70,250. How many child tickets were sold?
Answer:
41 children
Step-by-step explanation:
do it yourself..
80% equals 1200, then what budget is 100%?
Answer:
$1500
Step-by-step explanation:
Let's start by converting 80% to a decimal. 80% means 80/100, or 0.8. Let's call the full budget b.
0.8b=1200
Divide both sides by 0.8 to isolate b:
b=1200/0.8=$1500
Hope this helps!
Which set of numbers can represent the side lengths, in centimeters, of a right triangle?
O 8, 12, 15
O 10, 24, 26
O 12, 20, 25
O 15, 18, 20
1. The measure of angle GHI is 120° Angle GHI is cut in half with ray HK, if angle
GHK is 3x + 48what is the value of x?
Answer:
The value of x = 4
Step-by-step explanation:
In this question, we are asked to calculate the value of the angle x
Here the ray cuts the angle into half.
Since the total of the angle was 120, half of this would be 120/2 = 60
Now, it is this value of 60, that our new angle equals to
Mathematically;
3x + 48 = 60
3x = 60-48
3x = 12
x = 12/3
x = 4
A member of the local department of transportation recorded the number of passengers that arrived on flights at the airport based on the month of the year. Some of her data is in the table, where month 1 is January, month 2 is February, and so on.
Month Passengers
1 3,771
2 3,814
5 3,890
7 3,889
10 3,881
If the curve of best fit for the data is y = -5x2 + 60x + 3,715, which is the best prediction of the number of passengers that arrived on flights in April?
A.
3,875
B.
3,895
C.
3,915
D.
5,823
Answer:
The correct option is A,3875 passengers
Step-by-step explanation:
The curve of best fit for the date y=-5x^2+60x+3715
For April which month 4 which means that x is 4
By substituting 4 for x in the equation we can determine y, the number of passengers that arrived on flights at the airport is determined thus.
y=-5*4^2+(60*4)+3715
y=-5*16+240+3715
y=-80+240+3715=3875
The number of passengers that arrived by flights in April, month 4 is 3875
Not all of it fits but if someone could please help me with what they can I would really appreciate it!!
Answer:
1.A≈78.54 2.A≈50.27 3. A≈201.34 4. A≈313.84
Step-by-step explanation:
Look at the image below and write what each exponent means, But don’t determine the value.
Answer:
a) 5×5×5
b) 2×2×2×2×2×2
Step-by-step explanation:
An exponent determines how many times you multiply the number by itself.
Examples: 2² = 2×2
4³ = 4×4×4
Hope this helps!
Solve for p.
–5.7p = –14.82 − 7p
Answer: p = -11.4
Step-by-step explanation: –5.7p = –14.82 − 7p
–5.7p = –14.82 + − 7p
–5.7p = -7p - 14.82
–5.7p + 7p = -7p - 14.82 + 7p
1.3p = -14.82
1.3p/1.3 = -14.82/1.3
p = -11.4
so there's this cone stuff and i needa know
Hey there! I'm happy to help!
To find the volume of a cone, you take the area of the base, multiply it by the height and divide it by three.
We see that the radius of our base is three. To find the area of the base, we will square the radius and multiply it by 3.14 (formula for area of circle).
3²=9
9×3.14= 28.26
We multiply it by the height.
28.26(2)=56.52
We divide it by three.
56.52/3=18.84
Therefore, the area is 18.84 units cubed.
Now you can find the volume of cones! I hope that this helps! Have a wonderful day!
Whats 2x2x2x2x2x2x2x2x2x2x2x2x2
Answer:
8,192....this is the answer
Simplify (5^3)^6 leaving your answer in index form
[tex]( {5}^{3} ) ^{6} = {5}^{3 \times 6} = {5}^{18} [/tex]
Answer:
5^18.
Step-by-step explanation:
By the law of indices:
(a^b)^c = a^(bc)
So (5^3)^6
= 5^(3*6)
= 5^18.
select the correct answer
Answer: A - 8
Step-by-step explanation:
7 equals 6 plus AB divided by 2
7 times 2 is 14
14 - 6 = 8
Faith makes beaded necklaces that she sells for $3 each. She manages to sell two necklaces every day for 7 days. If she wants to make $60, what equation shows the money ‘E' she still needs to make at the end of 7 days? A. 60 − (3×2×7) = E B. 60 − (3×2×7) = E C. 60 − (3×2×7) = E D. 60 − (3×2×7) = E
Answer:B
Step-by-step explanation:
Answer:
All of the answers. They're all the same.
Step-by-step explanation:
A. 60 − (3×2×7) = E
B. 60 − (3×2×7) = E
C. 60 − (3×2×7) = E
D. 60 − (3×2×7) = E
How I'd solve it:
3×2×7=42
60-42=
18
All of the answers are the same and all correct.
Which of the following equations match the graph of the circle shown below?
Answer:
The circle in graph as radius = 4 and center O(2, 3)
=> equation of this circle: (x - 2)^2 + (y - 3)^2 = 4^2 = 16
=> Option C is correct
Hope this helps!
:)
Which of the following values is the solution to the equation
m + (-38) = 15 ?
1.)53
2.)-53
3.)-23
4.)23
Answer:
Step-by-step explanation:
m -38 = 15
m = 53
the answer is 1
Answer: the answer to your question is 53...
Explanation: I know I'm super late but let me explain why it's 53...
If you go on a calculator and type 53+ (-38) the answer would be 15 which can only mean that M=53. That is why it is 53 go try it out...
like I said I'm sorry I'm late... Brainliest?
Adding which terms to 3x2y would result in a monomial? Check all that apply
Answer:
By adding 12x²y and 4x²y result will be a monomial.
Step-by-step explanation:
Given question is incomplete; here is the complete question.
Adding which terms to 3x²y would result in a monomial? Check all that apply.
3xy
–12x2y
2x2y2
7xy2
–10x2
4x2y
3x3
1). 3x²y + 3xy → [Binomial]
2). 3x²y - 12x²y = -9x²y → [Monomial]
3). 3x²y + 2x²y² → [Binomial]
4). 3x²y + 7xy² → [Binomial]
5). 3x²y - 10x² → [Binomial]
6). 3x²y + 4x²y = 7x²y → [Monomial]
7). 3x²y + 3x³ → [Binomial]
Therefore, by adding 12x²y and 4x²y result will be a monomial.
Find the lateral surface area of the cylinder. Round your answer to the nearest tenth
Answer:
Step-by-step explanation:
[tex]A_L=2\pi rh[/tex]
Exercise 3 A pipe discharges wine into a 1.5-m-diameter tank. Another pipe (15 cm diameter), located near the base of the tank, is used to discharge wine out of the tank. Calculate the volumetric flow rate into the tank if the wine level remains constant at 2.5 m.
Answer:
Volume flow rate, Q, into the tank is 12.376 m³
Step-by-step explanation:
Here we have Bernoulli's equation presented as follows
[tex]\frac{P_{1}}{\rho _{1}g}+\frac{v_{1}^{2}}{2g} + z_{1} = \frac{P_{2}}{\rho _{2}g}+\frac{v_{2}^{2}}{2g} + z_{2}[/tex]
Where:
P₁ = Pressure, of the open tank = Atmospheric pressure = 0
P₂ - Pressure at the discharge of the pipe = Atmospheric pressure = 0
ρ₁ = Density of the fluid = ρ₂
v₁ = Velocity of the fluid in the tank
v₂ = Velocity of the fluid in the pipe
d₁ = Diameter of the tank = 1.5 m
d₂ = Diameter of the pipe = 15 cm = 0.15 m
A₁ = Cross sectional area of tank = π×d₁²/4 = 1.767 m²
A₂ = Cross sectional area of pipe= π×d₂²/4 = 0.01767 m²
z₁ = Level of water in the tank = 0 m
z₂ = Level of water in the pipe = 2.5 m
Whereby the level remains constant at 2.5 m, pressure at the base, P₂ = ρ₁×g×2.5
Also
v₁×A₁ = v₂×A₂ which gives;
v₁×1.767 = v₂×0.01767
v₂ = v₁×1.767/0.01767 = 100·v₁
Hence we have;
[tex]\frac{0}{\rho _{1}g}+\frac{v_{1}^{2}}{2g} + z_{1} = \frac{0}{\rho _{1}g}+\frac{(100v_{1})^{2}}{2g} + z_{2}[/tex]
[tex]z_{1} - z_{2} = \frac{(100v_{1})^{2}}{2g}- \frac{v_{1}^{2}}{2g}[/tex]
[tex](2.5)2g = 99v_{1}^{2}}[/tex]
v₁² = 2.5×2×9.81 = 49.05
v₁ = √49.05 = 7.0035 m/s
Therefore, since the rate of discharge = Rate of entry into the tank, we have;
Volume flow rate, Q, into the tank = v₁×A₁ = 7.0035 m/s × 1.767 m² = 12.376 m³.
Select the correct answer. Based on these segment lengths, which group of segments cannot form a triangle? A. 12, 7, 8 B. 8, 7, 13 C. 1, 2, 3 D. 80, 140, 70
Answer:
D. 80, 140, 70
Step-by-step explanation:
80°, 140° and 70° cannot form a triangle as the total number of the three angles is 290° whereby the total number of angles in a triangle is 180°
Answer:
80, 140, 70
Step-by-step explanation:
because
Emily gast deposits $50,000 in a 4-year cd that earns interest at an annual rate of 5.25% compounded daily. (a) find the amount of the cd in 4-years. (b) find the interest earned in 4-years
Answer:
a) $61,607.75
b) 11.607.75
Step-by-step explanation:
Kindly check attached picture for detailed calculation
Answer:
A.) $61682.97
B.) $11,682.97
Step-by-step explanation:
Initial deposit (A) = $50000
Period(t) = 4 years
Interest(r) = 5.25% annually,
n = number of times interest is compounded
Amount of the CD in four years :
Compound interest formula :
A = final amount
A = P(1 + r/n) ^nt
A = $50,000( 1 + (0.0525/365))^365×4
A = $50,000( 1 + 0.00014383562)^1460
A = $50,000(1.00014383562)^1460
A = $50,000(1.23365943637930)
A = $61682.9718189651
B.) Interest = $61682.97 - $50,000
Interest = $11,682.97
Consider a triangle ABC like the one below. Suppose that C equals 97° a equals 40 and b equals 17 sold the triangle carry your intermediate computations and to at least four decimal places around your house or to the nearest 10th if there are more than one solution use the button labeled or
Answer:
c = 45.33, C =97°, a = 40, A = 61.15° , B = 21.85°, b = 17
Step-by-step explanation:
Given that:
C = 97°, a = 40 and b = 17.
We have angle C, we need to find the side the side c opposite to the angle C. we have side a, we need to find the angle A opposite to side a. we have side b, we need to find the angle B opposite to side b.
Using cosine rule:
c² = a² + b² - 2ab × cos(C)
c² = 40² + 17² - 2(40)(17)cos(97)
c² = 2054.74
c = 45.33
Also using sine rule:
[tex]\frac{a}{sin(A)} =\frac{c}{sin(C)} \\\frac{40}{sin(A)}=\frac{45.33}{sin(97)} \\sin(A)=\frac{sin(97))40}{45.33}=0.876\\A=sin^{-1}(0.876)=61.15^0[/tex]
Also:
[tex]\frac{b}{sin(B)} =\frac{c}{sin(C)} \\\frac{17}{sin(B)}=\frac{45.33}{sin(97)} \\sin(B)=\frac{sin(97))17}{45.33}=0.3722\\B=sin^{-1}(0.3722)=21.85^0[/tex]
c = 45.33, C =97°, a = 40, A = 61.15° , B = 21.85°, b = 17
Some of the students at Kahlo Middle School like to ride their bikes to and from school. They always ride unless it rains.Let d be the distance in miles from a student's home to the school. Write two different expressions that represent how far a student travels by bike in a four week period if there is one rainy day each week.
Answer:
1. d(4)(4) = 16d
Step-by-step explanation:
let d be the distance
Number of non rainy days in week is (5-1) =4
Number of weeks = 4
in a week a student travels 4d
in 4 weeks a student travels 4×4×d = 4(4)(d)= 16d