Answer:
Air moves from high-pressure areas to low-pressure areas.
Step-by-step explanation:
High-pressure air sinks and Low-pressure air rises. Air typically moves from High-pressure areas to low-pressure areas, which create precipitation and wind.
Therefore, it would be the correct answer.
-kiniwih426
Air moves from high-pressure areas to low-pressure areas due to differences in atmospheric pressure.
Atmospheric pressure is the force exerted by the weight of air molecules in a specific area. In regions with higher pressure, air molecules are more densely packed, while in regions of lower pressure, they are more spread out. As a result, air naturally flows from areas of higher pressure to areas of lower pressure in an attempt to equalize the pressure.
This movement creates wind as air rushes from high-pressure zones to low-pressure zones. It's not that high-pressure air moves on top of low-pressure air or that they move alongside each other. Instead, air flows in response to pressure gradients. The movement of air is essential for redistributing heat around the planet, contributing to weather patterns, and maintaining the Earth's climate balance.
In summary, the primary mechanism governing air movement is the flow from high-pressure regions to low-pressure regions, driven by the natural desire of the atmosphere to reach equilibrium.
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Find the surface area of the triangular prism shown below. 5x6x7
Answer:
5 times 6 is 30 and 30 times 7 is 210
so 210 is your anser hop that helps
Answer:
210
Step-by-step explanation: First way: 5x6=30x7=210
2nd way/distributive property: 5(6x7) 5(6=30x7=210.
If R is midpoint of QS, QR =5x-4 and RS= 2x+2, find QS
Answer:
QS=2.4
Step-by-step explanation:
First graph it out. Once you do that you can see that QR is the same as RS. So you can do the equation 5x-4=2x+2. Once you solve this out you would get 2.4. (I'm just an advanced 7th grader so you can redo the problem to make sure it's all good. :D)
Answer:
68
Step-by-step explanation:
;0
Calc II Question
The base of s is an elliptical region with boundary curve 9x^2 + 4y^2 = 36
Cross sections perpendicular to the x axis are isoscelees right triangle with hypotension in the base.
Correct answer is 24 but I don't know how they go that
Answer:
See below for explanation
Step-by-step explanation:
The area of an isosceles triangle is \(A=\frac{1}{2}bh\), so let's write the base as an equation of y:
\(\displaystyle 9x^2+4y^2=36\\\\4y^2=36-9x^2\\\\y^2=9-\frac{9}{4}x^2\\\\y=\pm\sqrt{9-\frac{9}{4}x^2\)
As you can see, our ellipse consists of two parts, so the hypotenuse of each cross-section will be \(\displaystyle 2\sqrt{9-\frac{9}{4}x^2\), and each height will be \(\displaystyle \sqrt{9-\frac{9}{4}x^2}\).
Hence, the area function for our cross-sections are:
\(\displaystyle A(x)=\frac{1}{2}bh=\frac{1}{2}\cdot2\sqrt{9-\frac{9}{4}x^2}\cdot\sqrt{9-\frac{9}{4}x^2}=9-\frac{9}{4}x^2\)
Since we'll be integrating with respect to x because the cross-sections are perpendicular to the x-axis, then our bounds will be from -2 to 2 to find the volume:
\(\displaystyle V=\int^2_{-2}\biggr(9-\frac{9}{4}x^2\biggr)\,dx\\\\V=9x-\frac{3}{4}x^3\biggr|^2_{-2}\\\\V=\biggr(9(2)-\frac{3}{4}(2)^3\biggr)-\biggr(9(-2)-\frac{3}{4}(-2)^3\biggr)\\\\V=\biggr(18-\frac{3}{4}(8)\biggr)-\biggr(-18-\frac{3}{4}(-8)\biggr)\\\\V=(18-6)-(-18+6)\\\\V=12-(-12)\\\\V=12+12\\\\V=24\)
Therefore, this explanation confirms that the correct volume is 24!
Are the experimental probabilities after 300 trials closer to the theoretical probabilities?
After 300 trials, the experimental probabilities may not align perfectly with the theoretical probabilities. However, with more trials, the experimental probabilities tend to converge towards the theoretical probabilities for closer alignment.
To examine whether experimental probabilities after 300 trials align closely with theoretical probabilities, let's consider an example of flipping a fair coin.
Theoretical probability: When flipping a fair coin, the theoretical probability of obtaining heads or tails is 0.5 each. This assumes that the coin is unbiased and has an equal chance of landing on either side.
Experimental probability: After conducting 300 trials of flipping the coin, we record the outcomes and calculate the experimental probabilities. Let's assume that heads occurred 160 times and tails occurred 140 times.
Experimental probability of heads: 160/300 = 0.5333
Experimental probability of tails: 140/300 = 0.4667
Comparing the experimental probabilities to the theoretical probabilities, we can observe that the experimental probability of heads is slightly higher than the theoretical probability, while the experimental probability of tails is slightly lower.
In this particular example, the experimental probabilities after 300 trials do not align perfectly with the theoretical probabilities. However, it is important to note that these differences can be attributed to sampling variability, as the experimental outcomes are subject to random fluctuations.
To draw a more definitive conclusion about the alignment between experimental and theoretical probabilities, a larger number of trials would need to be conducted. As the number of trials increases, the experimental probabilities tend to converge towards the theoretical probabilities, providing a closer alignment between the two.
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The question probable may be:
Do experimental probabilities after 300 trials tend to align closely with theoretical probabilities? Consider an example scenario and calculate both the theoretical and experimental probabilities to determine if they are close.
An urn contains nine blue balls and seven yellow balls. If three balls are selected randomly without being replaced, what is the probability that of the balls selected, one of them will be blue and two of them will be yellow?
Answer:
\(Probability = \frac{27}{80}\)
Step-by-step explanation:
Given
\(Blue =9\)
\(Yellow = 7\)
Required
Determine the probability that one of the balls is blue while others is yellow
The order of selection may be any of these three:
Yellow, Yellow, Blue or Yellow, Blue, Yellow or Blue, Yellow, Yellow
Solving Yellow, Yellow, Blue
\(Probability = P(Y_1) * P(Y_2) * P(B)\)
\(Probability = \frac{7}{16} * \frac{6}{15} * \frac{9}{14}\)
\(Probability = \frac{1}{8} * \frac{1}{5} * \frac{9}{2}\)
\(Probability = \frac{9}{80}\)
Solving Yellow, Blue, Yellow
\(Probability = P(Y_1) * P(B) * P(Y_2)\)
\(Probability = \frac{7}{16} * \frac{9}{15} * \frac{6}{14}\)
\(Probability = \frac{9}{80}\)
Solving Blue, Yellow, Yellow
\(Probability = P(B) *P(Y_1) * P(Y_2)\)
\(Probability = \frac{9}{16} * \frac{7}{15} * \frac{6}{14}\)
\(Probability = \frac{9}{80}\)
Hence:
The required probability is:
\(Probability = \frac{9}{80} + \frac{9}{80} + \frac{9}{80}\)
\(Probability = \frac{27}{80}\)
You are curious about the average number of yards Matthew Stafford throws for each game for the Detroit Lions. You randomly select 20 games and see that the average yards per game is 273.7 with a standard deviation of 31.64 yards. You want to create a 95% confidence interval for the true average number of yards per game he throws. What is the margin of error for this estimate
Answer:
The margin of error for this estimate is of 14.79 yards per game.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
T interval
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 20 - 1 = 19
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 19 degrees of freedom(y-axis) and a confidence level of \(1 - \frac{1 - 0.95}{2} = 0.975\). So we have T = 2.093
The margin of error is:
\(M = T\frac{s}{\sqrt{n}}\)
In which s is the standard deviation of the sample and n is the size of the sample.
You randomly select 20 games and see that the average yards per game is 273.7 with a standard deviation of 31.64 yards.
This means that \(n = 20, s = 31.61\)
What is the margin of error for this estimate?
\(M = T\frac{s}{\sqrt{n}}\)
\(M = 2.093\frac{31.61}{\sqrt{20}}\)
\(M = 14.79\)
The margin of error for this estimate is of 14.79 yards per game.
If 7x) = 3x - 15, what is f(4)?
Answer:
Who knows?
Step-by-step explanation:
7x = 3x - 15
4x = -15
x = -15/4
You start at (0,-4). You move left 1 unit and right 4 units. where do you end?
If you start at (0,-4) and you move left 1 unit and right 4 units, you end at (3, -4)
Calculating the endpoint of the pointFrom the question, we have the following parameters that can be used in our computation:
Start = (0, -4)
Also, we have
You move left 1 unit and right 4 units
Mathematically, this can be expressed as
(x, y) = (x - 1 + 4, y)
Substitute the known values in the above equation, so, we have the following representation
Endpoint = (0 - 1 + 4, -4)
Evaluate the expression
Endpoint = (3, -4)
Hence, the endpoint is (3, -4)
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6E and 7 with full explanation
Answer:
See below ~
Step-by-step explanation:
Question 6(e) :
⇒ x² ≤ 16
Take square root on each side :
⇒ √x² ≤ √16
⇒ x ≤ 4 and x ≥ -4
⇒ -4 ≤ x ≤ 4
⇒ x² ≤ 16
Apply the absolute rule if x² < a then -√a < x < √a
⇒ -√16 ≤ x ≤ +√16
⇒ -4 ≤ x ≤ 4
Part 7First of all, The student should have subtracted both sides by 4
What he should have done:
\(\rightarrow \sf \dfrac{3}{x-2} > 4\)
\(\rightarrow \sf \dfrac{3}{x-2} -4 > 4 -4\)
\(\rightarrow \sf \dfrac{3}{x-2} -\dfrac{4(x-2)}{x-2} > 0\)
\(\rightarrow \sf \dfrac{3-4(x-2)}{x-2}} > 0\)
\(\rightarrow \sf \dfrac{3-4x+8}{x-2}} > 0\)
\(\rightarrow \sf \dfrac{-4x+11}{x-2}} > 0\)
\(\sf \large \boxed{\sf {\left \{ {{-4x+11 = 0} \atop {x-2 = 0}} \right. }}\)
⇒ -4x + 11 = 0, x - 2 = 0
⇒ -4x = -11, x = 2
⇒ x = 11/4 , x = 2
Solution satisfying the inequality:
⇒ 2 < x < 11/4
Ok guys can y’all assist with this one please this word problems are some
The number of cards she will sale to break even is 7 cards. Therefore, with sales and expenditure of 84 dollars she will break even.
How to find when Jessica will break even?Jessica is making greeting cards which will be sell by the box at an art fair. She paid 42 dollars for booth at the fair, and the materials for each box of cards cost 6 dollars. She will sell the card for 12 dollars per box of cards. At some point, she will sell enough cards so that her sales cover her expenditures.
Therefore, the number of cards she will take and the amount of sales and expenditures will be can be calculated as follows:
let
x = number of box
cost = 42 + 6x
sales = 12x
Therefore, let's find the number of card she will sale to cover her expenditures.
12x = 42 + 6x
12x - 6x = 42
6x = 42
x = 42 / 6
x = 7
sales = 12(7) = 84 dollars
Therefore, If Jessica sells 7 boxes of cards of cards, she will break even, with sales and expenditures of dollars.
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Which of the following terms is described as “the ratio of two polynomial
expressions”?
a. Linear Algebraic Expression c. Rational Algebraic Expression
b. Linear Algebraic Equation d. Rational Algebraic Equation
Answer:
rational algebraic expression
Answer:
C
Step-by-step explanation:
A mini cooper is 120 inches long. A truck is 83% longer than the car.
How long is the truck?
Answer:A 16-ounce can of mixed nuts includes 6 ounces of cashews and 10 ounces of almonds. What is the ratio of almonds to mixed nuts in this can of nuts?
Step-by-step explanation:
Answer:
705.8823529411765
Step-by-step explanation:
You find out what percent the Mini Cooper is a subtract that from the full 100%. You would then have 17%. Now you need to divide the 120 inches by 17 to find out what 1% equals. In this case 7.058823529411765, now you multiply by 100 to get the full 100%. The answer is 705.8823529411765
What is f×e where e={1,2,13} and f={44,8,2}?
Answer:
\(f\times e=\{(1,44),(1,8),(1,2),(2,44),(2,8),(2,2),(13,44),(13,8),(13,2)\}\)
Step-by-step explanation:
The Cartesian Product of two sets is all pairs in which the first element of each pair comes from the first set, and the second element comes from the second set.
\(f\times e=\{(1,44),(1,8),(1,2),(2,44),(2,8),(2,2),(13,44),(13,8),(13,2)\}\)
This was built using 1 from the first set paired with each number in the second set, then using 2 from the first set paired with each number in the second set, then 13 from the first set paired with each number in the second set.
Bad English! Good solution!
Complementary and supplementary angles
Now you try on your own.
Kelly wants to build a new wardrobe for herself with only clothing pieces she loves, fit her well, and coordinate together. She already has most of the pieces she will use, but needs to save up to go shopping for the remaining items. She has already saved some money from her job, and she decides to set aside money weekly from her tips. The expression $25w+$65
represents the amount of money Kelly will have saved after some amount of weeks. What does each part of this expression represent?
$25=
Answer
w=
Answer
$65=
Answer
For this specific expression, would it make sense to plug in a negative number for w
? Answer
For this specific expression, would you ever expect to get a number less than 65
for your total amount saved?
The Interpretatiom of the equation is that;
w represents number of weeks she will have saved for the remaining items
$25 represents the amount she saves per week
$65 represents the amount she has already saved
How to solve algebra word problems?The algebra word problem can be solved by using variables to denote certain parameters I'm the question.
The general form of equation of a line in slope intercept form is;
y = mx + c
Where;
m is slope
c is y-intercept
We are given the equation:
$25w + $65
This equation represents the amount of money Kelly will have saved after some amount of weeks.
Thus;
w represents number of weeks she will have saved for the remaining items
$25 represents the amount she saves per week
$65 represents the amount she has already saved
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Can someone help please??!
Answer:
13) -6, -2, 0, 2
14) -9, -8, 4, 9
15) -14, -6, 0, 9, 10
16) -11, -9, -8, 3, 12
17) 9, 5, -3, -11
18) 2, -3, -4, -17
19) 14, 9, 0, -10, -16
20) 24, 11, -8, -11, -20
Which number line shows the solution to the inequality 5 ≤ 8-3x ≤ 14?
The number line 5 ≤ 8-3x shows the solution to the inequality as x cannot be more than 1.
What is inequality?A inequality compares two values and indicates whether one is smaller, larger, or simply not equal to the other.
a ≠ b is the information that a and b are not equal.
If a > b, a is greater than b. (these two are defined as strict inequality)
a ≤ b proves that a is less than or equal to b
a ≥ b proves that a is greater than or equal to b
The number line 5 ≤ 8-3x shows the solution to the inequality as x cannot be more than 1.
If x is more than 1, lets say 2
Then the inequality as follows
5 ≤ 8-3(2) ≤ 14
5 ≤ 8-6 ≤ 14
5 ≤ 2 ≤ 14 this statement becomes false
Therefore x, must be lower than 1
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inverse function of f(x)=x-7/x+4
Final Answer: The inverse of f (x)=7x-4 is f^-1 (x)= (x+4)/7
(6.2 x 10²) x (3.5 x 10³)
Answer:
\(21.7 x 10^5\)
Step-by-step explanation:
(6.2 x 10²) x (3.5 x 10³)
First, multiply the coefficients: 6.2 x 3.5 = 21.7.
Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.
Therefore, the result is 21.7 x 10^5.
Answer:
3286000
Step-by-step explanation:
A fast-food restaurant has a cost of production C(x)=13x+132 and a revenue function R(x)=7x . When does the company start to turn a profit?
The company will start to turn a profit when x is greater than -22. In other words, the company will start to turn a profit when they sell more than 22 units of their product.
What is function?
In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range.
To find the point at which the company starts to turn a profit, we need to find the value of x for which the revenue is greater than the cost of production.
The revenue function is R(x) = 7x, and the cost of production is C(x) = 13x + 132.
So, we need to solve the inequality:
R(x) > C(x)
7x > 13x + 132
Subtracting 13x from both sides, we get:
-6x > 132
Dividing both sides by -6 (and flipping the inequality because we're dividing by a negative number), we get:
x < -22
Therefore, the company will start to turn a profit when x is greater than -22. In other words, the company will start to turn a profit when they sell more than 22 units of their product.
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If you draw a card from a standard deck of 52 playing cards, what is the probability that it is a heart or a diamond?
Answer:
1/2
Step-by-step explanation:
In a deck of cards, there are 13 hearts and 13 diamonds
13+13 = 26 hearts or diamonds
P( hearts or diamonds) = numbers of hearts or diamonds / total
=26/52
= 1/2
1 dollar bill is 6.14 inches long 2.61 wide and 0.00043 thick. If you had 1 billion in 100 dollar bills the the number of bills would be
The number of 100 dollar bills in one billion dollars is 10 million hundreds or 70,900 hundred dollar bills.
To find the number of 100 dollar bills in one billion dollars, we can use the following steps:
First, we need to find the value of one billion dollars in terms of hundreds. Since each hundred dollar bill has a value of $100,
we can divide one billion by 100 to get the number of hundreds
\(:$$\frac{1\text{ billion}}{100}=10\text{ million}$$\)
So one billion dollars is equal to 10 million hundreds.
Now we need to find the volume of one hundred dollar bill. To do this, we multiply its length, width, and thickness:\($$6.14 \text{ in} \times 2.61 \text{ in} \times 0.00043 \text{ in}=0.00709 \text{ in}^3$$\)
The volume of one hundred dollar bill is approximately 0.00709 cubic inches.
Finally, we need to find the total volume of 10 million hundreds:\($$0.00709 \text{ in}^3 \times 10,000,000=70,900 \text{ in}^3$$\)
Therefore, the total volume of 10 million hundred dollar bills is approximately 70,900 cubic inches.10 million hundreds or 70,900 hundred dollar bills.
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Eleanor can drive an average of 374 Miles on one tank of gas. How many miles can she drive on 15 tanks of gas
Answer:
5,610 Miles
Step-by-step explanation:
To solve this you would need to multiply the average miles by how many tanks of gas she will use.
374 * 15 = 5,610
So, Eleanor can drive 5,610 miles with 15 tanks of gas.
PLEASE HELP ME SOLVE THIS
In the U.S. 97% of homeowners have homeowners insurance. The average premium is $1083 per year. Homeowners insurance is not required by law but it is usually required by mortgage companies. The average claim is $8787, with wind damage the most common at 25%. These exclude hurricanes and severe storms. Theft, at 6%, is the least common. Fire is the most costly claim. There is an average of 355,400
house fires per year, causing $6.5 billion in damage.
Only 37% of renters have renters insurance. The average premium is $144 per year. Renters insurance insures just the items inside the building, not the building itself.
The average cost of auto insurance is $1500 per year. The average insurance claim is $4100. Even though auto insurance is required by law, 13% of drivers are uninsured.
1. What would happen if a homeowner had no homeowners insurance?
2. What would happen if a renter had no renters insurance?
3. Why do mortgage companies require homeowners insurance?
4. How could an automobile owner benefit from purchasing auto insurance?
Answer:
4
Step-by-step explanation:
1) If a homeowner had no homeowners insurance and experienced a loss or damage to their property.
2) If a renter had no renters insurance and faced a loss or damage to their personal belongings due to events like theft, fire, or other covered perils.
3) Mortgage companies require homeowners insurance because they have a financial stake in the property being mortgaged.
4) An automobile owner can benefit from purchasing auto insurance in several ways.
Here, we have,
If a homeowner had no homeowners insurance and experienced a loss or damage to their property, they would be solely responsible for covering the costs of repairing or replacing their home and belongings. This can be a significant financial burden, especially in the case of major events such as fire, theft, or natural disasters. Homeowners insurance provides financial protection and helps homeowners recover from such events by providing coverage for property damage, theft, liability, and additional living expenses.
If a renter had no renters insurance and faced a loss or damage to their personal belongings due to events like theft, fire, or other covered perils, they would have to bear the entire cost of replacing their belongings. Renters insurance provides coverage for personal property against various risks and also offers liability protection. Without renters insurance, renters would be financially responsible for replacing their belongings out of pocket, which can be costly and disruptive.
Mortgage companies require homeowners insurance because they have a financial stake in the property being mortgaged. The home serves as collateral for the loan, and the mortgage company wants to protect its investment. Requiring homeowners insurance ensures that if the property is damaged or destroyed, the insurance will help cover the costs of repairs or rebuilding. This requirement mitigates the risk for the mortgage company and provides them with assurance that the property is protected.
An automobile owner can benefit from purchasing auto insurance in several ways. Firstly, auto insurance provides financial protection in case of accidents, damage to the vehicle, or injuries to oneself or others. It covers the costs of repairs or replacement of the vehicle and medical expenses resulting from accidents. Additionally, auto insurance can provide liability coverage in case the insured driver causes damage to someone else's property or injuries to other individuals. Having auto insurance can give peace of mind, protect against unexpected expenses, and help ensure compliance with legal requirements.
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In the figure below, which term best describes point T?
Answer:
A
Step-by-step explanation:
Triangle EFG is similar to HJI.
If e = 9.1 cm, f = 10.15 cm, g = 7 cm, and h = 18.2 cm, what is the measure of j?
A.
23.66 cm
B.
20.3 cm
C.
16.31 cm
D.
14 cm
Answer:
A. 23.66 cm
Step-by-step explanation:
The average monthly income of three persons is rs. 3,600. If the income of the first is 1/5 of the combined income of the other two then his monthly income is
The monthly income of the first person is $600.
Given that, the average monthly income of three persons is RS 3,600.
The income of the first is 1/5 of the combined income of the other two.
Here, Let income of the first be A, let income of the second be B and let Income of the third be C.
A+B+C=3600 -----(i)
Income for the first person = 1/5(B+C) -----(ii)
Substitute equation (ii) in equation (i), we get
(B+C)/5 +B+C =3600
B+C+5B+5C=3600×5
6B+6C=18000
6(B+C)=18000
B+C=3000 ------(iii)
Substitute (iii) in equation (i), we get
A=$600
Therefore, the monthly income of the first person is $600.
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The table below gave approximately probabilities for scoring 0123 or 4 runs in one inning of major leagues baseball although it is possible to score more than 4 runs in 1 inning the probability is very small so it is ignored in this question
The sum of the probabilities is always equal to 1. Summing up the probabilities given on the data set, we have
\(\sum P(x)=0.7+0.15+0.09+0.04+0.02=1.00\)Given the probability distribution table, the mean number per inning can be computed as
\(\begin{gathered} \mu=(0\times0.7)+(1\times0.15)+(2\times0.09)+(3\times0.04)+(4\times0.02) \\ \mu=0.53 \end{gathered}\)For the computation of the standard deviation, we need to solve first for the square of the difference of the number of innings on the mean. We have the following
\(\begin{gathered} (0-0.53)^2=0.2809 \\ (1-0.53)^2=0.2209 \\ (2-0.53)^2=2.1609 \\ (3-0.53)^2=6.1009 \\ (4-0.53)^2=12.0409 \end{gathered}\)We then multiply these values on the corresponding probability of each inning given in the probability distribution table. We have
\(\begin{gathered} 0.2809\times0.7=0.19663 \\ 0.2209\times0.15=0.033135 \\ 2.1609\times0.09=0.194481 \\ 6.1009\times0.04=0.244036 \\ 12.0409\times0.02=0.240818 \end{gathered}\)We now get the sum of the values computed above and get the square of it.
\(\begin{gathered} 0.19663+0.033135+0.194481+0.244036+0.240818 \\ \sigma=\text{ }\sqrt[]{0.9091}=0.953 \end{gathered}\)HELPPP!!!!!
A sample of an unknown liquid has a volume of 24.0 mL and a mass of 6 g. What is its density? Show your work or explain how you determined this value. (4 points)
Answer:
0.25 g/mL
Step-by-step explanation:
d=m/v
6 g / 24 mL
0.25 g/mL
both (g) and mL were only used once so the answer includes both of them