The pressure inside the tank is 20.5 atm.
To determine the pressure inside the tank, we can use the ideal gas law equation: PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature in Kelvin.
First, we need to convert the temperature from Celsius to Kelvin by adding 273.15. Thus, the temperature becomes 245 + 273.15 = 518.15 K.
Next, we can rearrange the ideal gas law equation to solve for pressure: P = (nRT) / V. Substituting the given values, we have P = (125 moles * 0.0821 L·atm/(mol·K) * 518.15 K) / 22.6 L.
Simplifying this equation gives us P = 20.5 atm.
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please help me!!! Finals today DESPERATE
For the figure 7, the measure of each angle is:
a) m ∠1=131°
b) m ∠2=49°
c) m ∠3=92°
d) m ∠4=88°
e) m ∠5=92°
f) m ∠6=88°
g) m ∠8=49°
h) m∠9=92°
i) m ∠10=88°
j) m ∠11=131°
k) m ∠12=49°
l) m ∠13=131°
m) m ∠14=49°
n) m ∠15=92°
For the figure 8,
a) m ∠1=12°
b) m ∠3=105°
c) m ∠4=12°
d) m ∠5= 63°
e) m ∠6=105°
f) m∠7=105°
g) m ∠8=105°
h) m ∠11=12°
i) m ∠12=168°
j) m ∠13=12°
k) m ∠14=168°
What is meant by an angle?An angle in Euclidean geometry is the figure produced by two rays, called the sides of the angle, that have a common termination, called the vertex of the angle. Angles formed by two rays lie in the plane containing the rays. Angles are also generated by the intersection of two planes. These are referred to as dihedral angles. Two intersecting curves can also define an angle, which is the angle of the rays lying tangent to the respective curves at their point of intersection.
7) From the figure,
m ∠7=131°
m ∠7=m ∠1
m ∠1=131°
m ∠1+m ∠7+m ∠2+m ∠8=360°
131°+131°+ m ∠2+m ∠8=360°
m ∠2+m ∠8=360°-262°
m ∠2+m ∠8=98°
m ∠2=m ∠8
2m ∠2=98°
m ∠2=49°
m ∠8=49°
And also given that,
m ∠16= 88°
m ∠10=88°
m ∠10+m ∠16+m ∠9+m ∠15=360°
m ∠9+m ∠15=360°-176°
=184°
m ∠9=92°
m ∠15= 92°
m ∠11=m ∠7
m ∠11=131°
m ∠11=m ∠13
m ∠12= m ∠14=m ∠2= m ∠8=49°
m ∠10= m ∠16= m ∠6=m ∠4=88°
m ∠3=m ∠5= m∠9=m ∠15=92°
a) m ∠1=131°
b) m ∠2=49°
c) m ∠3=92°
d) m ∠4=88°
e) m ∠5=92°
f) m ∠6=88°
g) m ∠8=49°
h) m∠9=92°
i) m ∠10=88°
j) m ∠11=131°
k) m ∠12=49°
l) m ∠13=131°
m) m ∠14=49°
n) m ∠15=92°
8) From the figure,
m ∠2=63°, m ∠9=105°
m ∠2=m ∠5= 63°
m ∠6+ m ∠5+m ∠4=180°
m ∠9= m∠7=m ∠6=m ∠3=105°
m ∠4=180°-63°-105°
m ∠4=12°
m ∠4=m ∠1= m ∠13=m ∠11=12°
m ∠11+m ∠13+m ∠12+m ∠14=360°
m ∠12=m ∠14
2m ∠12=360°-24°=336°
m ∠12=168°
m ∠12=m ∠14=168°
m ∠3=m ∠10=m ∠8=105°
a) m ∠1=12°
b) m ∠3=105°
c) m ∠4=12°
d) m ∠5= 63°
e) m ∠6=105°
f) m∠7=105°
g) m ∠8=105°
h) m ∠11=12°
i) m ∠12=168°
j) m ∠13=12°
k) m ∠14=168°
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Maria's fish tank has 17 liters of water in it. She plans to add 6 liters per minute until the tank has more than 47 liters. What are the
possible numbers of minutes Maria could add water?
Use t for the number of minutes.
Write your answer as an inequality solved for t.
Answer:
t < 5
Step-by-step explanation:
47 > 6t + 17
30 > 6t
5 > t
t < 5
Subtract these polynomials.
(2 + 4x+ 3) - (4x- 2x- 3)
A. 6x+ 6x+6
B. 6x + 2x+ 0
C. -2+ 6x +6
D. -2+ 2x+ 0
Answer:
The correct answer is C
Step-by-step explanation:
well simplified the answer is 2(4+x) and unsimplified the answer is C
Answer:
\((2 + 4x + 3) - (4x - 2x - 3) \\ = (4 - 4 + 2)x + (2 + 3 + 3) \\ = 2x + 8\)
When x=-3, then y=______
Answer:-1
Step-by-step explanation:
Answer: -6
Step-by-step explanation:
the line pass through (-3,-6)
How do you find the volume under the surface and above the rectangle?
To find the volume under a surface and above a rectangle, use a double integral. Integrate the surface function over the rectangle and approximate using Riemann sums or numerical methods to obtain an estimate of the volume
To find the volume under a surface and above a rectangle in three-dimensional space using a double integral, we can follow these steps:
Determine the limits of integration for x and y based on the rectangle R. Write the function f(x,y) that defines the surface. Set up the double integral with the limits of integration and the function f(x,y). Evaluate the integral using appropriate integration techniques.To learn more about volume of three-dimensional space:
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A triangle has base 8 cm and perpendicular height 5.2 cm work out the area of the triangle
The area of the triangle is mathematically given as
A=20.8cm
This is further explained below.
What is the area of the triangle?The region that is surrounded by the perimeter of the triangle, also known as the three sides of the triangle, is referred to as the area of the triangle.
The space that is encompassed by all three of a triangle's sides is referred to as the triangle's area.
It is computed with the assistance of a variety of formulae that differ according to the kind of triangle, and the results are represented in square units such as centimeters squared, inches squared, and so on.
Generally, the equation for Area the is mathematically given as
A = 1/2 * base * height
Therefore
A= 1/2 * 8 * 5.2
A=20.8cm
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Taylor, a seventh grader at Juno Middle School, loves whales. She believes it is her duty to understand all laws that apply to the whaling industry and how this will affect the whales. She spends much time researching how officials are or aren't enforcing those laws. Taylor reports her findings to friends and family who can vote.
The attitude of Taylor in the given scenario can be classified as a; Watchdog
Who is classified as a watchdog?
From the given narration about Taylor, we can see that she understood the laws applying to whales and knew what the whaling industry would be doing wrong, when they do so.
Now, considering the fact that Taylor is not old enough to make a difference, politically, she has to tell others and keep an eye out. Thus, with this attitude, we can classify her to be a watchdog
The complete question is;
Taylor, a seventh grader at Juno Middle School, loves whales. She believes it is her duty to understand all laws that apply to the whaling industry and how this will affect the whales. She spends much time researching how officials are or aren't enforcing those laws. Taylor reports her findings to friends and family who can vote.
Taylor would be considered a;
A) watchdog
B) legal representative
C) leader of an interest group
D) member of the media
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The price of the car increased first by 100% and then by 150%. How much has it increased from its original price?
Answer:
50%
Step-by-step explanation:
Well, if you do 150-100 to figure out the answer, then you shall get 50. Now that is your final answer!!
Quadrilateral ABCD is a rhombus. If mzCDB = 6y° and mZACB = (2y + 10)°, find the value of y.
Answer: \(y=10\)
Step-by-step explanation:
Note that \(\angle ACB \cong \angle ACD\) because diagonals of a rhombus bisect the angles from which they are drawn.
Now, because \(m\angle DEC=90^{\circ}\) since diagonals of a rhombus are perpendicular, it follows that \(m\angle CDB+m\angle ABC=90^{\circ}\).
\(6y+2y+10=90\\\\8y+10=90\\\\8y=80\\\\y=10\)
The volume of the oceans on Earth is approximately 1,386 million km^3. As the Earth's temperature rises, the ice in the polar icecaps melts into the oceans, increasing the volume of the oceans. If 1 cm^3 of ice melts, it turns into approximately 0.92 cm^3 water.
1) There are approximately 3,800 cm^3 in a gallon. If 1.9 m^3 of ice melts, how many gallons of water does this produce? (Round your answer to the nearest gallon.)
2) Scientists estimated that the addition of 1,000 km^3 of water would increase sea levels by 364 cm. Greenland's ice sheet is especially vulnerable to melting. Recent reports indicate a melting average of 195 km^3 of ice per year from Greenland, resulting in additional yearly 179.4 km^3 of water. If melting continues at this rate, how many centimeters would the sea increase after 6 years? (Round your answer to the nearest centimeter.)
Answer:
460 gallons392 cmStep-by-step explanation:
The necessary units conversion can be accomplished by multiplying by appropriate conversion factors. Quantity can be found by multiplying rate by time.
1)The number of gallons of water produced by melting 1.9 m³ of ice is ...
\(1.9\text{ m$^3$ (ice)}\times\left(\dfrac{100\text{ cm}}{1\text{ m}}\right)^3\times\dfrac{0.92\text{ cm$^3$ (water)}}{1\text{ cm$^3$ (ice)}}\times\dfrac{1\text{ gal}}{3800\text{ cm$^3$}}\\\\=\dfrac{1.9\times10^6\times0.92}{3800}\text{ gal}=\boxed{460\text{ gal}}\)
2)Multiplying the melting rate by time and converting to height, we have ...
\(\dfrac{179.4\text{ km$^3$}}{1\text{ yr}}\times\dfrac{364\text{ cm}}{1000\text{ km$^3$}}\times6\text{ yr}\approx\boxed{392\text{ cm}}\)
__
Additional comment
The area of the world's oceans is about 361e6 km², so addition of 1000 km³ of water might be expected to increase the water level by (1000/361)e-6 ≈ 2.77e-6 km = 0.277 cm. Something seems a little off in this problem statement.
Helppp pleaseeeee
Which expression is equivalent to
Answer:
The second option
Step-by-step explanation:
First, simplify the bracket
\( \frac{4r {}^{3} s {}^{2} t {}^{4} }{2r {}^{4} st {}^{6} } \)
Apply Quotient of Powers
\(2 {r}^{ - 1} s {t}^{ - 2} \)
Which equals
\( \frac{2s}{rt {}^{2} } \)
Raise this to the fifth power
\( \frac{32s {}^{5} }{ {r}^{5} t {}^{10} } \)
Multiply by the outsides numbers(5^r^6 and t^4
\( \frac{160 {}^{} r {}^{6}s {}^{5} t {}^{4} }{r {}^{5} t {}^{10} } \)
\(160r {}^{5} t {}^{ - 6} \)
\( \frac{160r {}^{}s {}^{5} }{t {}^{6} } \)
a rent collector is entitled to 2½% of all rents collected if he collected rents totalling 5000.00 calculate his commission
Answer:
$125
Step-by-step explanation:
a rent collector is entitled to 2½% of all rents collected if he collected rents totaling $5,000.00 calculate his commission:
2 1/2% = 0.025
$5,000 * 0.025 = $125
What is the square root of 200 in a whole
Plz answer
Answer:
The square root of 200 can be simplified as 10√2.
Step-by-step explanation:
hope i helped
Answer:
10\(\sqrt{2}\)
Step-by-step explanation:
\(\sqrt{2^{3} * 5^{2} }\)
\(\sqrt{2^{2} *2*5^{2} }\)
\(2\sqrt{2}\sqrt{5^{2} }\)
\(2\sqrt{2} *5\)
10\(\sqrt{2}\)
Two cards are drawn without replacement from a standard deck of cards. What is the probability that the second one is a black card given that the first one is a spade.
Answer:
The probability is 169/2652
Step-by-step explanation:
The number of cards in a deck of cards is 52
In each deck of cards, there are 13 black cards and 13 spade cards
The probability of selecting a spade card will be;
13/52 = 1/4
Without replacement, we are left with 51 cards and the probability of selecting a black card will now be 13/51
So the probability of the second card being a black card if the first is spade will be ;
13/52 * 13/51
= 169/2,652
A leaking pond loses 20 gallons of water in 19 hours. How many gallons of water will it lose in 17 hours
The pond will lose about 17.89 gallons of water in 17 hours.
Given that the leaking pond loses 20 gallons of water in 19 hours. To find out how many gallons of water it will lose in 17 hours we have to use the unitary method.
We will multiply 17 with the ratio of the number of hours it loses 20 gallons of water. Here's how to solve the problem.Let the number of gallons the pond loses in 17 hours be x gallons.Then, the ratio of gallons of water lost to hours taken is 20:19Therefore, 20 gallons of water are lost in 19 hoursi.e., (20/19) gallons of water are lost in 1 hourThen, the number of gallons of water lost in 17 hours will be:More than 100 words17 hours is less than 19 hours.
Therefore, the number of gallons of water lost in 17 hours will be less than 20 gallons. So, to find out how many gallons of water it will lose in 17 hours, we will multiply 17 with the ratio of the number of hours it loses 20 gallons of water. Here, we know that 20 gallons of water are lost in 19 hours, thus the ratio of gallons of water lost to hours taken is 20:19.
Therefore, (20/19) gallons of water are lost in 1 hour.
Thus, the number of gallons of water lost in 17 hours will be:17 × (20/19) = 17.89 gallons.
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Which of the following represents a function?
(5, 1), (5, 2), (5, 3), (5, 4)
(3, 4), (-3, 2), (3, 8), (5, 5)
(-1, 2), (-2, 1), (-1, -2), (-2, -1)
(2, 3), (4, 3), (-2, -3), (-4, -3)
8. In a local election, one candidate received 45% of the votes. A total of 440 votes were cast. How many votes did this candidate receive?
The vote received by the candidate if he receives 45 % of the votes and a total of 440 votes were cast is 198.
What is percentage?A percentage, often known as percent, is a division by 100. Percentage, which means "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance. Finding the percentage of a whole in terms of 100 is what percentage calculation is.
Given:
The Total vote of the election = 440,
The vote received by one candidate = 45 % of total votes,
Solve the expression as given below,
The vote received by one candidate = 45 % of 440
The vote received by one candidate = 45 / 100 × 440
The vote received by one candidate = 0.45 × 440
The vote received by one candidate = 198
Therefore, the vote received by the candidate if he receives 45 % of the votes and a total of 440 votes were cast, is 198.
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what would be more valuable, receiving $500 today or receiving $625 in three years if interest rates are 7 percent? why?
Receiving $500 today would be more valuable than receiving $625 in three years if interest rates are 7 percent. This is because the present value of the future amount is lower than the amount you would receive today, due to the time value of money and the impact of interest rates.
To understand this concept, we can use the present value (PV) formula to calculate the value of $625 in three years at a 7% interest rate. The formula for present value is:
PV = FV / (1 + r)^n
Where FV is the future value ($625), r is the interest rate (7%, or 0.07), and n is the number of years (3).
PV = 625 / (1 + 0.07)^3
PV ≈ 498.69
The present value of receiving $625 in three years, with a 7% interest rate, is approximately $498.69. Comparing this to the $500 you would receive today, the amount you would receive today is slightly more valuable. This is because money has a time value – money available now is worth more than the same amount in the future, due to its potential earning capacity (e.g., through investing or earning interest). In this case, receiving $500 today allows you to invest or save it, earning interest and potentially increasing its value beyond the $625 you would receive in three years.
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calculate these values
a= _____
b= _____
The values of a and b of the given matrix multiplication is gotten as; a = 2 and b = 3
How to multiply Matrices?
To multiply matrix, we follow patterns depending on the type of matrix. Thus, from the given matrix, we can say that;
(1 * -1) + (0 * -1) + (1 * 3) = a
-1 + 0 + 3 = a
a = 2
Similarly;
(1 * -1) + (0 * 2) + (1 * 4) = b
-1 + 0 + 4 = b
b = 3
Thus, the values of a and b of the given matrix multiplication is gotten as; a = 2 and b = 3
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simplify the expression (5.8f - 3g + g)-(7f - 2.5g)
(5.8f - 3g + g) - (7f - 2.5g)
(5.8f - 4g) - (7f - 2.5g)
2.8f - 2.5g
Answer:
2.8f - 2.5g
Which of the following is NOT a function and why?
{ (-4, -4), (-3, -3), (0, 0), (3, 3), (4, 4) }
{ (-4, -2), (-1, -1), (1, 3) (1, 4), (7, 10) }
PLS HELP MEEE
Determine which lines, if any, are parallel. Choices may be repeated and some might not be used at all.
Answer:
a,c,b,d,5
Step-by-step explanation:
Evaluate each expression if a = -1 b=4 c=6
Answer: 192
Step-by-step explanation:
if c = 6, you can write the problem like this:
3(6)^2 + 2(6) + 2(6)^2
6^2 (6 squared) is equal to 6x6, which is 36
Knowing that, you can write the problem like this:
3(36) + 2(6) + 2(36)
3x36=108
2x6=12
2x36=72
Knowing that, you can write the problem like this:
108 + 12 + 72
Then add:
108 + 12 = 120
120 + 72 = 192
Therefore, the answer is 192 for the expression in the image provided.
Hope this helps!
6. The sum of the measures of the angles in any triangle is 180 degrees. In triangle ABC, angles A and B have the same measures, while angle C is 57 degrees larger than the other two angles. Find the measure of angle C. a. 41 degrees b. 98 degrees c. 82 degrees d. 139 degrees Answer:
Answer:
well, if we want to know the measure angle c. we need to know the other angles measures. We know that c. is 57 more than a. and b.
So, if the triangle is 180 degrees in total, than we need to subtract 57 frm 180 to get 123. Now we divide that by 2 because that is what the other 2 angles will measure. 123 divides by 2 is 61.5.
now we subtract 61.5 from 180 to get 118.5
now to subtract 61.5 again because the 2 angles are the same measure. 118.5-61.5 is 57. so it cant be any of the answers you provided if angle a and b are the same
Step-by-step explanation:
plz mark brainliest!
which set of ordered pairs could be generated by an exponential function
Answer:
Option C represents an exponential function
Step-by-step explanation:
Generally, we have an exponential function in the form ;
y = a.b^x
Where in fact, a is not 0
In this case, let us have a as 1 and b as 2
So we have;
for x = -1
y = 2^-1 = 1/2
for x = 0
y = 2^0 = 1
for x = 1
y = 2^1 = 2
for x = 2
y = 2^2 = 4
So the correct choice here is the third option
Part A: A statement about rational numbers is shown.
The product of two negative rational numbers is greater than either factor. Is the statement always true, sometimes true, or never true? Explain your answer. Provide at least two examples to support your answer.
Part B: A different statement about rational numbers is shown.
The product of two positive rational numbers is greater than either factor. Provide at least two examples to show that this statement is only sometimes true.
i didn’t realize u were chill like that
can someone please help me with these 3 there due tomorrow!!
Answer:
mean= 56.9
median= 55.5
mode= 64
Ata school
number of boys : number of girls = 11: 9
There are 124 more boys than girls.
Work out the total number of students at the school.
The total number of students at the school is 1240.
What is Ratio ?
With the dividend or number being divided as the antecedent and the divisor or number that is dividing as the consequent, a ratio compares two quantities by division.
we know that, number of boys : number of girls = 11: 9
Let's assume the number of boys = 11x
and, the number of girls = 9x
similarly, There are 124 more boys than girls
So, number of boys = 124 + number of girls
11x = 124 + 9x
2x = 124
x = 62
So, number of boys = 11 ×62 = 682
number of girls = 9 × 62 = 558
∴ Total number of students is 1240 i.e.(682+558).
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I need help fast please!!!
Answer:
the answer is 3
Step-by-step explanation:
Does molar mass depend on pressure and temperature?
No, molar mass is a constant and does not depend on pressure or temperature.
Molar mass is a physical property of a substance and is the mass of one mole of a given substance. It is a constant value that represents the amount of grams of a substance that contains 022 x 1023 atoms or molecules. Since molar mass is a constant, it does not depend on pressure or temperature. Pressure and temperature can affect the physical and chemical properties of a substance, but they do not have an effect on the molar mass. The molar mass of a substance can be useful in determining molecular and empirical formulas, as well as calculating densities and molar concentrations.
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