The volume of oil inside the tank at [tex]t = 15\,h[/tex] is approximately 66.556 liters.
How to estimate volume capacity by Riemann sumIn this question we must estimate the volume by Riemann sum, which consist in sum of all areas of the trapezoids of equal width in the volume rate versus time graph. The right Riemann sum with three intervals for this case is described below:
[tex]Q = \Sigma \limits_{i=0}^{2} \left\{R_{i}+\frac{1}{2}\cdot [R_{i+1}-R_{i}] \right\}\cdot \Delta t[/tex]
[tex]Q = \left[6.5+\frac{1}{2}\cdot (6.2-6.5) \right]\cdot (3.667)+\left[6.2+\frac{1}{2}\cdot (5.9-6.2)\right]\cdot (3.667) +\left[5.9+\frac{1}{2}\cdot (5.6-5.9) \right]\cdot (3.667)[/tex]
[tex]Q \approx 66.556\,L[/tex]
The volume of oil inside the tank at [tex]t = 15\,h[/tex] is approximately 66.556 liters. [tex]\blacksquare[/tex]
Remark
The table of the volume rate versus time is missing, all missing values of the table are included below:
[tex]R(4) = 6.5\,\frac{L}{h}[/tex], [tex]R(7.667) = 6.2\,\frac{L}{h}[/tex], [tex]R(11.333) = 5.9\,\frac{L}{h}[/tex], [tex]R(15) = 5.6\,\frac{L}{h}[/tex]
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hey what's da ans?
3(9)+3(7)
Answer:
48
Step-by-step explanation:
Given the following question:
[tex]3(9)+3(7)[/tex]
To find the answer we need to remember when there is no operation between two numbers and the only thing that is separating them is a paratheses, we know to multiply the two numbers together.
[tex]3(9)+3(7)[/tex]
[tex]3\times9+3\times7[/tex]
[tex]3\times9=27[/tex]
[tex]3\times7=21[/tex]
[tex]27+21[/tex]
[tex]27+21=48[/tex]
[tex]=48[/tex]
Your answer is "48."
Hope this helps.
Answer:
48
Step-by-step explanation:
use PEMDAS
there is no Parenthesis
there is no exponets
there is multiplication
you can rewrite the question like this:
(3x9) + (3x7)
when you do the multiplication you will end up with 27+21. add them and you will get your answer of 48.
or
group the factors. since both of them have 3 in them you add the other quanities which is 9 and 7. you will now have 3(16). multiply it and you will get 48 as well
A flying object is moving at 150 m/s. It makes a complete and final stop in 12 seconds. Calculate the object’s acceleration.
Answer:
-12.5 m/s²
Step-by-step explanation:
v (final velocity) = 0
u (intial velocity) = 150 m/s
t = 12s
a= v-u/t
a = 0 - 150 / 12
a = -12.5 m/s²
Jaylen made strawberry jam and raspberry jam. He made enough strawberry jam to fill 4 5/6 jars. If he made 5 times as much raspberry jam as strawberry jam, how many jars will the raspberry jam fill? Write your answer as a fraction or as a whole or mixed number.
Answer: 24 1/6
Step-by-step explanation:
From the question, we are informed that Jaylen made strawberry jam and raspberry jam and that he made enough strawberry jam to fill 4 5/6 jars.
We are further told that he made 5 times as much raspberry jam as strawberry jam, the number of jars that the raspberry jam will fill will be:
= 5 × 4 5/6
We would change 4 5/6 to improper fraction. This will be 29/6.
= 5 × 29/6
= 145/6
= 24 1/6
Each person in a group of students was identified by year and asked when he or she preferred taking classes: in the morning, afternoon, or evening. The results are shown in the table. Find the probability that the student preferred morning classes given he or she is a freshman. Round your answer to the nearest thousandth.
Freshman Sophomore Junior Senior
Morning: 19 2 6 16
Afternoon: 17 3 13 15
Evening: 8 14 9 7
A. 0.105
B. 0.182
C. 0.386
D. 0.432
Answer: 0.432
Step-by-step explanation: I just took the test!
The probability that the student preferred morning classes given he or she is a freshman is 0.432. Option D. is the right choice.
What do we mean by the Probability of an event?The probability of an event is the fractional value showing how likely an event is to occur. It is determined by the formula,
The probability of an event
= number of outcomes favorable to the event/total number of outcomes
How do we solve the given question?We are asked about the probability that the student preferred morning classes given he or she is a freshman.
Total number of freshmen = 44 (in table)
Number of freshmen students who preferred morning classes = 19 (in table)
∴ The probability that the student preferred morning classes given he or she is a freshman = number of freshmen students who preferred morning classes/total number of freshmen = 19/44 ≈ 0.432
∴ The probability that the student preferred morning classes given he or she is a freshman is 0.432. Option D. is the right choice.
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simplify the following ratio
18:24:30
Answer:
3:4:5( by cancelling by 6)
Step-by-step explanation:
please mark me as brainlest
Answer:
3 : 4 : 5
Step-by-step explanation:
18 : 24 : 30 ( divide each part by 6 )
= 3 : 4 : 5
Economists study the way society uses its resources. One important resource studied is agriculture. The recent increase in demand for organic produce has created some interesting economic scenarios for both farmers and consumers. Click the article to learn key facts about the economics of organic produce and answer a few questions. Which is a reason that organic farming is more expensive than conventional farming? How many years must a farm be run organically before its produce can be labeled as "organic"? What is a benefit of crop rotation?
Explanation:
Some reasons why organic farming is more expensive than conventional farming is that:
they require greater labor input,the quantity produced is lower which results in a higher cost per unit.it cost more to meet these higher standards.Many agriculturalists believe a farm must be run for at least 3 years organically before its products can be labeled as "organic."
The benefits of crop rotation includes:
it reduces soil erosion,improves soil fertility,it reduces the presence of pests and diseases.
Which is a reason that organic farming is more expensive than conventional farming?
organic farmers must pay for a costly certification processHow many years must a farm be run organically before its produce can be labeled as “organic”?
3What is a benefit of crop rotation?
rotating crops can help build healthy soil.GOT IT RIGHT ON EDGE
pls help me 100 points
What is the volume of the prism?
Enter your answer in the box as a mixed number in simplest form.
Volume = length x width x height
Volume = 6 x 2 1/2 x 4 1/2 = 67 1/2 cm^3
Answer: 67 1/2 cm^3
Solution:
We know that:
Volume of rectangular prism: LBHL = 6; B = 2.5; H = 4.5This means that:
Volume of rectangular prism = 6 x 2.5 x 4.5Step-by step calculations:
Multiply the terms to find the volume:
Volume of rectangular prism = 6 x 2.5 x 4.5=> Volume of rectangular prism = 67.5 cm²The volume of the rectangular prism is 67.5 cm².
pease help me bro please
Answer:
the answer is 5
Step-by-step explanation:
if you see the y value is 8 so the x value is 5
Answer:
y=5
*f(x) is technically y but you inserted x as 8. So look for the y-point that connect when the line reaches 8 on the x-axis. Thus, leaving you with (8,5). x=8 and y=5
A group of friends receives a dinner bill of $287.50 at a restaurant. The bill includes a 15% tip for the server.
Part A
How much was the bill before the tip was added?
Enter the correct answer in the box.
Answer:
100%= ?
287.50= 115%
1%= 287.50/115
1%= 2.5
100%= 250
therefore answer is $250
The amount on the dinner bill excluding the tip for the server would be $244.375.
What is percentage?In mathematics, a percentage is a number or ratio expressed as a fraction of 100.
Given is a group of friends who receives a dinner bill of $287.50 at a restaurant. The bill includes a 15% tip for the server.
The initial amount in the bill recieved = $287.5
Percentage tip for server = 15%
Amount recieved by the server = 15% of 287.5 = $43.12
Therefore, the amount before the tip = 287.5 - 43.12 = 244.375
Therefore, the amount on the dinner bill excluding the tip for the server would be $244.375.
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HEEEEEEEEELLLLLPPPPP
solve for x
Answer:
x = 20°
explanation:
∠6 = 45°, vertically opposite anglestwo angle inside opposite parallel lines, sum up to 180°solve:
5x + 35 + 45 = 180°
5x + 80° = 180°
5x = 100°
x = 20°
What is the slope of the line graph
-2/6
we go down two and over 6
4
Find the distance between A (3, 4) and B (15, 13).
Answer:
15
Step-by-step explanation:
use distance formula
HELP ME PLSS ASAP
2. (03.01 LC)
Given that g(x) = 4x + 6, find the value of x that makes g(x) = 14. (5 points)
-50
-5
2
8

Answer this. And youll get moneyyy
zero minus one (:
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uestion Hel
The side lengths of a rectangular room are 9 ft and 40 ft. The room is going to be split in half along the hypotenuse of
a triangle using string. Find the length of the piece of string needed.
9 ft
40 ft
40ft hope this hellped ask again
Answer:
40ft hope I helped with your problem! Have a great day my comrade
What is the experimental probability of spinning an even number?
Answer:
The probability of spinning and even number on the spinner is 0.4.
Step-by-step explanation:
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(( please help ))7x ( 5+ 8)=
Answer:
91
Step-by-step explanation:
7* ( 5+ 8)
Using PEMDAS
We do the parentheses first
7* ( 5+ 8)
7* 13
Then multiply
91
1. Approximate the value of
√
√
Answer:
[tex]\sqrt{3} =1.7\\\sqrt{3/48} =0.04\\\sqrt{48} =6.9\\\frac{\sqrt{3} }{\sqrt{48} } =0.25[/tex]
Step-by-step explanation:
I wasn't sure which one you were referring to
**Check my answer please!**
Solve for x
4/9(18x − 36) = −88
A) 6
B) 13
C) 17
D) 21
I got -9 I don't know what I did wrong tbh.
Answer:
b 13
Step-by-step explanation:
I think that's the answer but I'm not sure
The two cylinders in the picture above are similar. Find the radius of the smaller cylinder.
A) 2.4 cm
B) 6 cm
C) 0.9 cm
D) 0.6 cm
Answer:
The answer is D, 0.6 cm. I just took the quiz.
Step-by-step explanation:
Directions: Refer to the given figure below:
Write an equation to represent angle relationships to be able to
solve for the unknown measure of angle. Show your solution
correctly and neatly.
x
70°
(2x + 10)°
solve for x
RUBRICS:
Learning Task: Solves for the value of variable x, and finds the measu
of the unknown angle.
Answer:
if the angles are supposed to be equal then x = 30
2 × 30 = 60 + 10 = 70°
What is the value of z in the equation 2(4z − 6 − 6) = 170 − 46? 12. 5 15. 5 16. 5 18. 5.
Answer:
z = 18.5
Step-by-step explanation:
2(4z − 6 − 6) = 170 − 46
2(4z - 12) = 124
8z - 24 = 124
8z = 148
z = 18.5
Graph rhombus STUV with S(-6, 2), T(2, 8), U(10, 2), V(2, -4) and its image after a dilation of 1/2. What are the coordinates of V'?
(4, -8)
(4, 8)
(½, -2)
(1, -2)
(1, 1)
Answer: (1,-2)
Step-by-step explanation:
SA = 2(lw + hw + hl), for w
HELP PLEASE
[tex]w= \frac{sa}{2 (l+h)}[/tex]
Find the perimeter of a rectangular block of land 3p metres long and 4Q metres wide
Answer:
86 is the correct answer
perimeter of an triangle
Answer:
hypotenuse + adjacent + opposite
Step-by-step explanation:
The three names of the sides on a triangle
A student’s work to simplify a radical is shown below. Select the statement which best applies to the sample mathematical work.
Answer:
the answer is B
Answer:
B
Step-by-step explanation:
[tex]\sqrt[4]{80} =\sqrt[4]{16 \cdot 5}[/tex]
[tex]\sqrt[4]{16 \cdot 5} =\sqrt[4]{16} \sqrt[4]{5} =2\sqrt[4]{5}[/tex]
The second line is incorrect as [tex]\sqrt[4]{16} =2[/tex]
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can someone pls tell me the answer i already tried the option 4 and it was wrong
Answer:
2 and 3\4
Step-by-step explanation:
hope that is right
(1). -4 – x=3x +6
(2). X – 4= -3x + 12
(3). -12 + 3x = -x + 8
(4). 3x – 10= -2x + 20
(5). -4 – x = 10- 3x
Answer:
2 over 5
Step-by-step explanation:
1.-4-x=3x+6
6+4=3x+x
10=4x
Which number can divide 10 and 4 and that number is 2.
2 divided by 5.
How are mass and volume related on this graph?
As the mass decreases the volume increases
There is no relation
As the volume increases the mass decreases
As the mass increases, the volume also increases
The mass increases, the volume also increases.
What is proportionality?A graph is a line straight or curved that shows relation between two quantities out of which one varies as a result of change in other.
A graph is a line straight or curved that shows relation between two quantities out of which one varies as a result of change in other. To make it clear let us consider we have two variables x and y where, y=2x. The variable that is made to alter or change is called the independent variable.
As, from the graph we can see that the the volume represented by x axis and the mass represented by y axis show a direct relation.
As, the volume increases horizontally then the mass increases vertically.
let us take the coordinate (5, 25), (10, 50), (20, 100)
from the above coordinate we can see that the coordinate for both x and y axis increases.
Hence, mass increases, the volume also increases.
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