Answer:
Volume of the pipe = 423.9cm³
Step-by-step explanation:
Width = 6cm = diameter
Radius (r) = d / 2 = 6 / 2 = 3cm
Height = 15cm
Volume = ?
π = 3.14
Assuming the shape of the pipe is that of a cylinder, then we can easily find its volume just by calculating the volume of the cylinder.
Volume of a cylinder = πr²h
π = 3.14
r = radius of the cylinder
h = height of the cylinder
Volume = 3.14 × 3² × 15
Volume = 3.14 × 9 × 15
Volume = 423.9cm³
The volume of the pipe is 423.9cm³
The volume of the given pipe is [tex]424.12\ cm^3[/tex].
To calculate the volume of the pipe, assume the pipe is cylindrical and use the formula for the volume of a cylinder. The formula is given by:
[tex]V = Area\ of\ cross\ section \times height[/tex]
Since the pipe is cylindrical, the cross section is a circle. Therefore:
[tex]Area\ of\ cross\ section = \pi r^2[/tex]
where r = radius of cross section
Given width = 6 cm = diameter of the cross section = 2r
[tex]2r = 6\ cm \implies r = \frac{6}{2}\ cm = 3\ cm[/tex]
Therefore:
[tex]Area\ of\ cross\ section=A = \pi r^2 = \pi (3)^2 = 9\pi\ cm^2[/tex]
Assuming the 'height' mentioned is the length through which fluid is flowing, and given the cross-sectional area, the volume formula simplifies to:
[tex]V = A\times h[/tex]
Given height (length of cylinder) = 15 cm:
[tex]V = 9\pi \times 15\ cm^3 = 135\pi \ cm^3 \approx 424.12\ cm^3[/tex]
So, the volume of the pipe, assuming it as cylindrical, is [tex]424.12\ cm^3[/tex].
Ice cream sandwiches are wrapped in white paper before they are put in
a box to be sold. How many ice cream sandwiches can be wrapped with
500 square inches of paper?
What is the first step to solving this
equation?
4(2x-3)=4
Answer:
x=2
Step-by-step explanation:
Let's solve your equation step-by-step.
4(2x−3)=4
Step 1: Simplify both sides of the equation.
4(2x−3)=4
(4)(2x)+(4)(−3)=4(Distribute)
8x+−12=4
8x−12=4
Step 2: Add 12 to both sides.
8x−12+12=4+12
8x=16
Step 3: Divide both sides by 8.
8x /8 = 16 /8
x=2
Answer:
x = 2
Step-by-step explanation:
4(2x-3) = 4
⇔
4 × (2x-3) = 4 × 1
⇔
(2x-3) = 1 (divide both sides by 4)
⇔
2x = 1 + 3 (Move 3 to the right hand side)
⇔
2x = 4
⇔
x = 4/2
⇔
x = 2
Need this answer in fraction form these are the answer choices
A.8/15
B.15/16
C.16/15
D.15/8
Answer:
Option B 15/16
Step-by-step explanation:
calculate the volume of the cone and the volume of the cylinder and then put them in a fraction with the cone over the cylinder, afterwards put that fraction in a calculator and see what you get. once you get the answer input each one of the options into the calculator until one of the fractions gives you the same product as the cone/cylinder fraction.
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Question: Solve it using the proportion method.
The Royal Fruit Company produces two types of fruit drinks. The first type is 60% pure fruit juice, and the second type is 85% pure fruit juice. The company is
attempting to produce a fruit drink that contains 70% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 160
pints of a mixture that is 70% pure fruit juice?
Answer: 96 pints of the first fruit drink (60% pure fruit juice) and 64 pints of the second fruit drink (85% pure fruit juice).
Step-by-step explanation:
This question is a system of equations. First, we will define our variables:
Let x= number of pints of the first fruit drink (60% pure fruit juice), and then y = the number of pints of the second fruit drink(85% pure fruit juice).
We know that there are 160 total pints of the mixture. Therefore,
x + y = 160 .......... equation i
We are also aware that 70% of those 160 pints will be pure fruit juice, and they will come from either x or y.
For x pints of the first juice, there is
0.6x of pure fruit juice and for y pints of first juice, there is 0.85y of pure fruit juice. Therefore, we will have:
0.6x + 0.85y = 160 × 0.7
0.6x + 0.85y = 112
Multiply through by 100 to remove decimal. This will be:
60x + 85y = 11200 ........... equation ii
Combine both equations
x + y = 160 .......... i
60x + 85y = 11200 ........ ii
Multiply equation i by 60
Multiply equation ii by 1
60x + 60y = 9600 ........ iii
60x + 85y = 11200 ......... iv
Subtract iv from iii
-25y = -1600
y = 1600/25
y = 64
Since x + y = 160
x = 160 - 64
x = 96
Therefore , we will need 96 pints of the first fruit drink (60% pure fruit juice) and 64 pints of the second fruit drink (85% pure fruit juice).
The lowest temperature in January was less than−6°. Which could be the lowest temperature in January?
The lowest temperature in January is -10°C.
What are Integers?Integers come in three types:
Zero (0)Positive Integers (Natural numbers)Negative Integers (Additive inverse of Natural Numbers)Given:
The lowest temperature in January was less than−6°.
as, we know in integers the smaller the number the grater its value.
such as -100 < (-1)
So, -6 > -10
and, -6 < 0
and, -6 < -5
and, -6 < -2.
Thus, the lowest temperature is -10°C.
Learn more about Integers here:
https://brainly.com/question/15276410
#SPJ6
Final answer:
The lowest temperature in January can be any temperature that is less than -6°.
Explanation:
The question asks for the lowest temperature in January, given that it is less than -6°. Since the question does not provide a specific range, any temperature that is less than -6° can be considered the lowest temperature in January. For example, -10°, -15°, or -20° can all qualify as the lowest temperature in January.
Are you a boy or a girl
Answer: A boy
Step-by-step explanation: I'm a boy
Answer: Girl!
Step-by-step explanation: why? Oof
The measure of XYZ is 45. The length of radius YZ is 6 inches. What is the area of sector XYZ?
(Use 3.14 for I.)
Answer:
area of a sector = 14.13 yards²
Step-by-step explanation:
XYZ is a sector of a circle. The radius YZ is 6 inches .The angle of the sector is given as 45°. The area of the sector can be solved as follows.
area of a sector = ∅/360 × πr²
where
r = radius
∅ = center angle
r = 6 inches
∅ = 45°
area of a sector = 45/360 × 3.14 × 6²
area of a sector = 45/360 × 3.14 × 36
area of a sector = 45/360 × 113.04
area of sector = 1/8 × 113.04
area of a sector = 14.13 yards²
Answer:
14.13
Step-by-step explanation:
i know
What is the simplified form of the expression?
Answer:
The answer is A - a. -6a^2/b b. 5y^3
Cameron sent a chain letter to his friends, asking them to forward the letter to more friends.
The relationship between the elapsed time t, in days, since Cameron sent the letter, and the number of people, P(t), who receive the email is modeled by the following function:
P(t) = 100 · (1.83) ^ t/2.5
Complete the following sentence about the rate of change in the number of people who receive the email.
Every _______ days, the number of people who receive the email increases by 83%.
A.) 0
B.) 1.83
C.) 100
D.) 2.5
Answer:
Step-by-step explanation:
Answer:
2.5
Step-by-step explanation:
Lauren owes her friend $32.50 for a concert ticket. She doesn’t have the cash now, but she’ll earn it babysitting this weekend. If Lauren gets paid $8 an hour to babysit, the equation that represents y, how much money will she have after paying back her friend, in terms of x, the number of hours she spends babysitting this weekend, is y = x .
Answer:
y=8x-32.5
Step-by-step explanation:
8 dollars an hours = slope
-32.5 owed = y-intercept
How many significant digits are there in the product of 0.005 and 25.725
a. 0
b. 1
c. 2
d. 3
Answer:
its D 3
Step-by-step explanation:
In an assembly line, 56 out of 60 randomly selected parts have no faults. Predict the number of parts that will have no faults in a similar batch of 12,000 parts.
We have been given that in an assembly line, 56 out of 60 randomly selected parts have no faults. We are asked to predict the number of parts that will have no faults in a similar batch of 12,000 parts.
We will use proportions to solve our given problem.
[tex]\frac{\text{Not faulty parts}}{\text{Total parts}}=\frac{56}{60}[/tex]
[tex]\frac{\text{Not faulty parts}}{12,000}=\frac{56}{60}[/tex]
[tex]\frac{\text{Not faulty parts}}{12,000}\times 12,000=\frac{56}{60}\times 12,000[/tex]
[tex]\text{Not faulty parts}=56\times 200[/tex]
[tex]\text{Not faulty parts}=11,200[/tex]
Therefore, approximately [tex]11,200[/tex] parts will have no faults in a similar batch of 12,000 parts.
May I please get help with this question?
If the probability that event A takes place is 0.299, what is the probability of event A not
happening?
Answer:
0.701
Step-by-step explanation:
0.299=299/1000
probability of not happening=1000-299/1000
=701/1000
=0.701
hope I helped
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Does anyone know the question to this?
Answer:
120
Step-by-step explanation:
10x3=30x4=120
24+j= 37.947 I need to solve for j
Answer:
j= 13.947
Step-by-step explanation:
j=37.947-24
so j= 13.947
Simplify 5+ W equals eight
Answer:
3
Step-by-step explanation:
5+3=8
8-5=w
Find a solution to the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of
equations
4x - 2y - 5z = -51
4x - y - 2z = -36
4x - 2y + 4z = -24
a. (-6, 6, 3)
C (-6, 6, 62)
b. (-62, 62, 30)
d. (-62, 6, 62)
Answer:
A. ( -6, 6, 3)
Step-by-step explanation:
100% correct
Fernando bought a jacket for $185 and sold it for 1 1/2 times what he paid. Marisol spent 1/5 as much as Fernando on the same jacket but sold it for 1/2 as much as Fernando did. How much money did Marisol make? Explain your thinking using a diagram
We have been given that Fernando bought a jacket for $185 and sold it for 1 1/2 times what he paid.
Let us find selling price of jacket as:
[tex]\text{Selling price of Fernando's jacket}=\$185\times 1\frac{1}{2}[/tex]
[tex]\text{Selling price of Fernando's jacket}=\$185\times \frac{3}{2}[/tex]
[tex]\text{Selling price of Fernando's jacket}=\$277.5[/tex]
We have been given that Marisol spent 1/5 as much as Fernando on the same jacket.
[tex]\text{Cost of Marisol's jacket}=\$185\times \frac{1}{5}[/tex]
[tex]\text{Cost of Marisol's jacket}=\$37[/tex]
We are also told that Marisol sold the jacket for 1/2 as much as Fernando did.
[tex]\text{Selling price of Marisol's jacket}=\frac{\$277.5}{2}[/tex]
[tex]\text{Selling price of Marisol's jacket}=\$138.75[/tex]
The amount of money earned by Marisol would be selling price of jacket minus cost.
[tex]\text{Amount of money earned by Marisol}=\$138.75-\$37[/tex]
[tex]\text{Amount of money earned by Marisol}=\$101.75[/tex]
Therefore, Marisol made $101.75.
log8x=2 solve for x by converting the logarithm to an exponential equation. (i already know the answer is 12.5 but i need the written steps that it takes to solve this problem in order for my answer to count.) please help!!!!1
Answer:
pooooooo
Step-by-step explanation:
a triangular section of a farm is enclosed by fences that are 2 meters, 6 meters, and 7 meters long, estimate the area of the section
Final answer:
To estimate the area of a triangular section with sides 2 meters, 6 meters, and 7 meters, you can use Heron's formula. The semi-perimeter is 7.5 meters. The estimated area of the triangle is approximately 5.56 square meters.
Explanation:
To estimate the area of a triangular section of a farm enclosed by fences that are 2 meters, 6 meters, and 7 meters long, we can use Heron's formula. First, we calculate the semi-perimeter (s) of the triangle:
s = (a + b + c) / 2s = (2 + 6 + 7) / 2s = 15 / 2s = 7.5 metersNow, we use Heron's formula to find the area (A):
A = √(s(s-a)(s-b)(s-c))A = √(7.5(7.5 - 2)(7.5 - 6)(7.5 - 7))A = √(7.5 * 5.5 * 1.5 * 0.5)A = √(30.9375)A ≈ 5.56 square metersTherefore, the estimated area of the triangular section of the farm is approximately 5.56 square meters.
I need help pleaseee (10 points)
Answer:
(x+9) (x+9)
Step-by-step explanation:
hope this helps ;/
Answer:
(x+9)(x+9)
Step-by-step explanation:
Please help. worth 60 points
Answer:
What am I supposed to help you with?
Step-by-step explanation:
If the product of two integers is positive, their signs are positive or negative
Shwetha comes to the swimming pool once every 12 days. Vinnie comes once every 4 days and Olga comes once every 10 days. Last Monday all of them were in the pool. In how many days all of them will meet at the swimming pool again? What day of the week will it be?
Answer:
60 days, Friday
Step-by-step explanation:
This problem is solved using concept of LCM.
LCM is the least number which is the common multiple of given set of different number.
To find the LCM we method of prime factors, the steps are given below
get all the all the prime factor of the given set of numberselect all the prime factors as many times they occur in given set of numbermultiply together the numbers selected together to get LCM________________________________________________
Given
frequency of visiting swimming pool by Shwetha = once in 12 days
factors of 12 = 2 * 2 * 3
frequency of visiting swimming pool by Vinnie = once in 4 days
factors of 2 = 2 * 2
frequency of visiting swimming pool by Olga = once in 10 days
factors of 10 = 2 * 5
minimum no of days after which they will be visiting together will be least common multiple of number of days after which they visit swimming pool individually.
Selecting the prime numbers with their highest occurrence
we have 2, 2, 3 ,5
multiplying them together we have
2 * 2 * 3* 5 = 60
therefore 60 is the LCM of 12, 4, 10
it means that Shwetha, Vinnie and Olga will visit swimming pool together once in 60 days
It is given that they visited on Monday and now they will visit after 60 days again.
since in one week there are seven days, every eighth day will be monday
so we divide 60 days by 7 to see how many cycles of monday has passed.
60/7 = 8 4/7
It suggest that 8 weeks has passed and they will meet on 4 days after Monday which will be Friday.
Thus they will meet meet at the swimming pool again in 60 days.
It will be Friday.
Answer:
60 days, friday
Step-by-step explanation:
The temperature in a greenhouse should be 65 degrees or higher. One morning, the heater stopped working. The temperature dropped 6 degrees before someone fixed the heater. The temperature was still at least 65 degrees when the heater started working again. How can you best describe the temperature in the greenhouse before the heater stopped working?
The temperature in the greenhouse before the heater stopped working was at least 71 degrees Fahrenheit, based on the information that the temperature dropped 6 degrees but remained at least 65 degrees.
Explanation:As the temperature dropped 6 degrees and was still at least 65 degrees when the heater was fixed, we can set up a simple inequality to represent this situation:
Let T represent the temperature before the heater stopped working. After the heater stopped working and the temperature dropped by 6 degrees, the new temperature would be T - 6. According to the provided information, this new temperature was still at least 65 degrees, which gives us the inequality:
T − 6 ≥ 65
Adding 6 to both sides of the inequality, we find:
T ≥ 71
This means that the temperature in the greenhouse before the heater stopped working was at least 71 degrees.
What is the radius of the circle x^2+6x + y^2– 12y = 36?
Answer:
Step-by-step explanation:
hello :
x²+6x + y²– 12y = 36
completed to suqard :(x²+6x) + (y²– 12y) = 36 means :
(x²+6x+9)-9 + (y²– 12y+36)-36 = 36
(x+3)²+(y-6)² = 9².... standard form when the radius is : 9
Observe the graph below and determine the exponential function.
PLEASE HELP FAST
Step-by-step explanation:
I think the exponential function is 4,-8
Answer:
f(x) = 1/4
Step-by-step explanation:
I used google, and I wish there were some answer choices!! If there are, let me know!!
What are the x- and y-intercepts of the function graphed below?*
(0, 3) and (6,0)
(3,0) and (0,6)
(3,0) and (6.0)
(0.3) and (0,6)
Answer:
(3,0) and (0,6)
Step-by-step explanation:
(x,y) is the only way to make ordered pair.
The x was a 3 so you could cross out the first and last because they put the 3 in the y spot. When is should be (3,0).
Then the y was 6 and that I would be (0,6) so the third would also be crossed out because they put the 6 in the y spot.
So the answer is (3,0) and (0,6).