Answer:
10.47
Step-by-step explanation:
The question is asking us to find 349% of 3. In order to calculate the percentage of a whole number, we must convert the percentage into a decimal, and then multiply it by the whole number.
Start by converting 349% to a decimal:
\(349\) ÷ \(100=3.49\)
Now, multiply the quotient by the number of bushels of corn:
\(3.49(3)=10.47\)
And 10.47 to the nearest hundredth is 10.47; therefore, 10.47 is the final answer.
If x = 10, which equation is true? *
A. 3 ( 20 - x) = 44
B. 3 ( 12 - x ) = 6
C. 2 x + 3 = 25
D. 2 x - 3 = 22
NO LINKS OR FIILES
Answer:
B. 3 ( 12 - x ) = 6
\(3(12 - x) = 6 \\ (12 - x) = 2 \\ x = 10\)
20 points
NEED HELP PLEASEEEE
Answer:
The anwser is option 2
Step-by-step explanation:
The van der Waals equation of state is p=
V
m
−b
RT
−
V
m
2
a
. (a) Show that the van der Waals equation can be written in the form of a virial equation of state in powers of 1/V
m
: pV
m
=RT(1+
V
m
B
+
V
m
2
C
+…) where the virial coefficients B and C are
B=b−
RT
a
C=b
2
Hint: You will need to use the Taylor expansion of (1−x)
−1
(when x is small):
1−x
1
=1+x+x
2
+⋯ (b) Measurements of argon gave B=−21.7 cm
3
⋅mol
−1
and C=1.200×10
3
cm
6
⋅mol
−2
for the virial coefficients at T=273 K. What are the values of a and b in the corresponding van der Waals equation of state? Use R=8.2057×10
−2
dm
3
⋅atm⋅K
−1
⋅mol
−1
for the gas constant. (c) Using calculated van der Waals constants a and b, estimate the Boyle temperature for argon. Hint: At Boyle temperature and V
m
→[infinity], we have
d(1/V
m
)
dZ
=0
a) pV_m = RT(1 + ((-RT / a) - b)V_m - (a / V_m) - b^2 / V_m) this equation can be written in the form of a virial equation of state in powers of 1/V_m.
b) a ≈ 1.673 cm^6·atm·mol^(-2)
c) The Boyle-temperature for argon can be estimated using the calculated van der Waals constants as V_m approaches infinity.
Step by step:
(a) To show that the van der Waals equation can be written in the form of a virial equation of state, we start with the given van der Waals equation:
p = (RT / (V_m - b)) - (a / V_m^2)
We can rewrite this equation by multiplying both sides by V_m:
pV_m = RT - bV_m - (a / V_m)
Now, let's substitute B and C in terms of a and b:
B = b - (RT / a)
C = b^2
Substituting these values into the equation, we have:
pV_m = RT - (RT / a)V_m - (a / V_m) - bV_m - b^2 / V_m
Rearranging terms, we get:
pV_m = RT(1 + ((-RT / a) - b)V_m - (a / V_m) - b^2 / V_m)
This equation can be written in the form of a virial equation of state in powers of 1/V_m.
(b) Given that B = -21.7 cm^3·mol^(-1) and C = 1.200×10^3 cm^6·mol^(-2), and using R = 8.2057×10^(-2) dm^3·atm·K^(-1)·mol^(-1), we can substitute these values into the equations for B and C:
-21.7 = b - (8.2057×10^(-2) / a) (Equation 1)
1.200×10^3 = b^2 (Equation 2)
From Equation 2, we can solve for b:
b = ±√(1.200×10^3)
Since b cannot be negative according to the van der Waals equation, we take the positive square root:
b = √(1.200×10^3) = 34.64 cm^3·mol^(-1)
Now, substituting this value of b into Equation 1, we can solve for a:
-21.7 = 34.64 - (8.2057×10^(-2) / a)
Solving for a, we find:
a = (8.2057×10^(-2)) / (34.64 + 21.7)
a ≈ 1.673 cm^6·atm·mol^(-2)
(c) To estimate the Boyle temperature, we use the condition:
d(1/V_m) / dZ = 0
At Boyle temperature, V_m approaches infinity. Taking the derivative, we have:
d(1/V_m) / dZ = (2a / V_m^3) - b = 0
Solving for V_m, we get:
V_m = (2a / b)^(1/3)
Substituting the values of a and b that we calculated earlier, we can find V_m:
V_m = (2(1.673) / (34.64))^(1/3)
V_m ≈ 2.519 dm^3·mol^(-1)
Therefore, the Boyle temperature for argon can be estimated using the calculated van der Waals constants as V_m approaches infinity.
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hello help me please
8. 250°
9. 120° and 40°
10. 55°
11. 120° and 50°
12. 125° and 15°
13. 70° and 30°
14. 80°
15. 70°
Step-by-step explanation:
8.
the angle at a vertex (crossing point) outside of the circle (when both lines intersect with the circle arc, which is also the case for tangents) is half of the difference of both arc angles (the outer and the inner angles).
the outer angle is 250°. since the full circle is 360°, this makes the inner arc angle 360-250 = 110°.
the difference is 250-110 = 140.
and half of that difference is
140/2 = 70°.
so, x = 70°
9.
see 8.
the angle at the vertex outside the circle is half of the difference between outer and inner arc angle.
in fact, this is again about tangents (despite the picture), because the outer angle + the inner angle is again 360° (the full circle). this can only be, if the 2 lines are tangents splitting the outer and inner arc angles into 2 parts of 360° without remainder.
320 - 40 = 280
280/2 = 140
x = 140°
10.
see 8. and 9.
it is an extreme example, where the vertex of the 2 intersecting lines is exactly on the circle arc and the tangent point of the second line.
this makes the inner arc angle = 0°.
remember, the vertex angle (55°) is half of the difference of the outer (x) and inner (0°) arc angle.
55 = (x - 0)/2
110° = x
11.
remember the table question, where we found that the circle internal angle of 2 intersecting lines is half of the sum of both intersected arc angles ?
this is exactly this case again.
(120 + 50)/2 = 170/2 = 85°
x = 85°.
12.
first, like in 8. and 9., we determine the vertex angle. x is then the supplementary angle (together they have 180°) to this vertex angle, because the sum of all angles around one point on one side of a line is always 180°.
the vertex angle is
(125 - 15)/2 = 55°
x + 55 = 180
x = 125°.
13.
see 11.
the circle internal vertex angle is half of the sum of both circle arcs.
x = (70 + 30)/2 = 100/2 = 50°.
14.
again, an extreme case, where the vertex is on the circle arc. so, the second arc angle is 0°.
see also 12.
x is the supplementary angle of the vertex angle.
the vertex angle is
(80 + 0)/2 = 80/2 = 40°.
x + 40 = 180
x = 140°.
15.
it is difficult to read. I see the outer arc circle as 140°.
see 8., 9., 10.
the vertex angle x is
x = (140 - 70)/2 = 70/2 = 35°
do I sound like a broken record ? I at least feel that way. you should be able to apply the explanations from the previous questions to solve the new ones yourself.
what is not clear yet ? where do you need further explanations ?
Find the inflection points of the graph of f(x)=x-lnx
The inflection points of the graph of f(x) = x - ln(x) are determined. Inflection points are found by identifying the values of x where the concavity of the graph changes.
To find the inflection points of the graph of f(x) = x - ln(x), we need to identify the values of x where the concavity changes. Inflection points occur when the second derivative changes sign.
First, we find the first derivative of f(x) by differentiating the function with respect to x. The first derivative is f'(x) = 1 - (1/x).
Next, we find the second derivative of f(x) by differentiating the first derivative. The second derivative is f''(x) = 1/x².
To identify the inflection points, we set the second derivative equal to zero and solve for x. In this case, the second derivative is always positive for x ≠ 0, indicating a concave-up shape.
Since the second derivative does not change sign, there are no inflection points in the graph of f(x) = x - ln(x).
Therefore, the graph of f(x) = x - ln(x) does not have any inflection points.
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Mr. Scott is planning a party for 78 people. Each table seats 8 people. He divides to find the number of tables he needs to seat everyone
9r6
878
-72
6
Question 7 of 10
Evaluate the expression and enter your answer below.
V64
v4
Answer:
4
Step-by-step explanation:
the answer is 4
I hope this is the answer
Answer:
4
Step-by-step explanation:
\( \\ \sf \frac{ \sqrt{64} }{ \sqrt{4} } \)
\( \\ \sf = \frac{ \sqrt{8 \times 8} }{ \sqrt{2 \times 2} } \)
\( \\ \sf = \frac{8}{2} \)
\( \\ \sf = 4\)
sara drops a coin down a wishing well, which she knows to be 60 feet deep. she hears it hit the bottom at t
It takes approximately 0.0533 seconds for the sound of the coin hitting the bottom of the well to reach Sara's ears.
If Sara hears the coin hit the bottom of the well, that means she is able to hear the sound produced by the coin reaching the bottom. The time it takes for sound to travel from the top of the well to the bottom is what we need to find.
To calculate the time it takes for sound to travel, we can use the formula:
Time = Distance / Speed
In this case, the distance is the depth of the well, which is 60 feet. The speed of sound is approximately 1,125 feet per second.
Plugging these values into the formula, we get:
Time = 60 feet / 1,125 feet per second
Simplifying this expression, we find:
Time ≈ 0.0533 seconds
Therefore, it takes approximately 0.0533 seconds for the sound of the coin hitting the bottom of the well to reach Sara's ears.
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Find the distance between each pair of points. Round to the nearest tenth.
The distance between (-4, 5) and (4, 0) is ________
The distance between (-8, -2) and (6, -1) is ________
Answer:
1. the square root of 89 or 9.4
2. the square root of 197 or 14.0
Please help and explain please please!!!
Choose all the equations that are true if y = 6.
52.37 – 46.37 = y
2 / 3 y = 4 1/2
8y = 48
3.2 + y = 9
y = 4 = 24
Answer:
The first and third.
Step-by-step explanation:
For the first one, you just subtract 52.37 and 46.37 and the answer is 6, so that makes the equation 6=y, which is right. The second one equals 6.75, so that's not what we need. For the third one, you divide by 8 on both sides to isolate y, and that results in y=6, which is right. For the fourth one you subtract by 3.2 on both sides to isolate y and that results in 5.8, which isn't what we need. I think for the last one you meant to type y=4+24, in which case that would be y=28, which isn't what we need.
why is paying back along with a nominal interest rate of 13.62% if the interest is compounded quarterly, how much greater is white effective interest rate than his nominal interest rate
The required white effective interest rate is 0.71% more than his nominal interest rate.
What is compound interest?Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.
Here,
White Effective interest R,
\(R=(1+i/m)^m)-1\\R=(1+0.1362/4)^4)-1\\R =0.1433*100=\)
R = 14.33 percent
So
Difference in interest = 14.33%-13.62%
=0.71%
Thus, the required white effective interest rate is 0.71% more than his nominal interest rate.
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List one algebraic equation with a distributive property
Answer:
3(4x+6)=24
Step-by-step explanation:
The distribute property is when you distribute the what is inside of the parentheses.
Answer:
an example would be -5(x+9)=-5
now distribute -5 to x and -5 to9
= -5x-45= -5
A poll of teenagers in one town showed that 43 % play a team sport. It also showed that 21% play varsity team sports. Find the probability that a teenager plays varsity sports, given that the teenager plays a team sport.
The probability that a teenager plays varsity sports, given that they play a team sport, is approximately 0.4884 or 48.84%.
To find the probability that a teenager plays varsity sports given that they play a team sport, we can use conditional probability.
Let's denote:
A: Playing varsity sports
B: Playing a team sport
We are given:
P(B) = 43% = 0.43 (Probability of playing a team sport)
P(A) = 21% = 0.21 (Probability of playing varsity sports)
We need to find PA(|B), which represents the probability of playing varsity sports given that the teenager plays a team sport.
The conditional probability formula is:
P(A|B) = P(A ∩ B) / P(B)
P(A ∩ B) represents the probability of both A and B occurring simultaneously.
In this case, the probability of a teenager playing varsity sports and a team sport simultaneously is not given directly. However, we can make an assumption that all teenagers who play varsity sports also play a team sport. Under this assumption, we can say that P(A ∩ B) = P(A) = 0.21.
Now we can calculate P(A|B):
P(A|B) = P(A ∩ B) / P(B)
= 0.21 / 0.43
≈ 0.4884
Therefore, the probability that a teenager plays varsity sports, given that they play a team sport, is approximately 0.4884 or 48.84%.
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Solve for xxx. Enter the solutions from least to greatest. 3x^2 - 9x - 12 = 03x
2
−9x−12=0
The solutions to the equation 3x^2 - 9x - 12 = 0 are x = 4 and x = -1.
To solve the quadratic equation 3x^2 - 9x - 12 = 0, we can use the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a),
where a, b, and c are the coefficients of the quadratic equation.
In this case, a = 3, b = -9, and c = -12. Substituting these values into the quadratic formula, we have:
x = (-(-9) ± √((-9)^2 - 4 * 3 * (-12))) / (2 * 3)
= (9 ± √(81 + 144)) / 6
= (9 ± √(225)) / 6
= (9 ± 15) / 6.
We have two possible solutions:
For the positive root:
x = (9 + 15) / 6
= 24 / 6
= 4.
For the negative root:
x = (9 - 15) / 6
= -6 / 6
= -1.
The solutions to the equation 3x^2 - 9x - 12 = 0 are x = 4 and x = -1.
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2 is what percent of 40?
2 is 5% of 40
Hope it is useful
Increase £2400 by 9%
Write an equation in slope intercept form that passes through (-3, -4) and has a y-intercept located at y=-3
Answer:
y = \(\frac{1}{3}\) x - 3
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 3, - 4 ) and (x₂, y₂ ) = (0, - 3 ) ← coordinates of y- intercept
m = \(\frac{-3-(-4)}{0-(-3)}\) = \(\frac{-3+4}{0+3}\) = \(\frac{1}{3}\)
the y- intercept c = - 3
y = \(\frac{1}{3}\) x - 3 ← equation of line
what is the slope and the y-intersept
Answer: The slope is 3 and the y-intercept is 2.
Step-by-step explanation: To find the slope and the y-intercept, you need to find the slope-intercept form of the linear function. Since from 1 to 3 is 2, and from 5 to 11 is 6, 6/2 is 3, and that is your "m" of slope-intercept form. Now, if you plug in 3 as the 1st value of the input, 5-3=2. That is your y-intercept. Alas, your equation is y = 3x+2, and your slope is "m" (3) and your y-intercept is "b" (2).
:)
Write an equation perpendicular to y = -2x - 7 that passes through the point (4,3)
Which explanation justifies how the area of a sector of a circle is derived?.
Step-by-step explanation:
We know the area of a circle is
\(\pi {r}^{2} \)
That is when the cricle is 360 degrees full, so another formula is
\( \frac{360}{360} \pi {r}^{2} \)
If we the find the area of the sector with angle x, then that formula will be
\( \frac{x}{360} {\pi}r^{2} \)
Answer:
The area of a sector is part of an area of the entire circle. Determine the fraction of the circle that the sector represents and multiply it by the area of the circle.
Step-by-step explanation:
What is the effect on the graph of the function f(x) = \x{ when f(x) is changed to f(x) – 7?
A)
shifts right by 7 units
B)
shifts left by 7 units
shifts up by 7 units
D)
shifts down by 7 units
A change to the outside of the function notation is always an up/down or vertical change to the graph.
Answer: D
Subtracting 7 shifts the graph down by 7 units. Outside changes do what you'd expect them to do, because that change is happening after you've evaluated the function.
PS
A change inside the f(x) notation is a left/right or horizontal change to the graph and is usually opposite from what you'd expect.
Help please due in like seven minutes!!!
The correct answer is B/the second option.
The reason is that you can find slope by doing y2-y1/x2-x1, however x1 was put before x2 and therefore the slope was wrong. Good luck !! :)
Rochelle is conducting an experiment on cells of Elodea, a kind of water plant. To induce plasmolysis at the correct rate, she needs to use an 8% saline solution, but she has only the solutions shown on hand.
A. If Rochelle mixes the two solutions to get 100 mL of an 8% saline solution, which will she use more of? Explain.
Enter your answer.
B. How can Rochelle determine the amount of each solution she needs to make the 8% saline solution?
Enter your answer.
C. Use Appropriate Tools Are there any methods for solving this problem other than the one you used in part B? Explain.
Enter your answer.
A pharmacist wants to mixture of 40 % saline solution with a 12% saline solution to get 119 ml. of a 32% saline solution. He used 85 ml of 40% saline solution and 34 ml of 12% saline solution.
What is mixture?Mixture word problems require you to combine two or more separate items, and then calculate some quantity of the resulting mixture (such as a percentage, price, or number of liters, for example). There will always be some type of "rate," like miles per hour or price per pound. Mixtures are substances that contain two or more distinct substance categories. To separate them, utilize physical tools. Examples include air, different gases, a mixture of sugar and water, a solution of salt and water, and so on.
here, we have,
Given,
A pharmacist wants to mixture of 40 % saline solution with a 12% saline solution to get 119 ml. of a 32% saline solution.
Equation:
X + y = 119
y = 119 - x
0.40x + 0.12y = 119 of 0.32
0.40x + 0.12y = 38.08
Using y = 119 -x
0.40x + 0.12(119 - x) = 38.08
0.40x + 14.28 - 0.12x = 3808 Eq(2)
0.28x = 23.8
x = 85
and,
y = 119 - 85
y = 119 - 85
y = 34
Equating values in equation (2),
=0.40(85) + 0.12(34)
=34 + 4.08
=38.08
A pharmacist wants to mix a 40 % saline solution with a 12% saline solution to get 119 ml. of a 32% saline solution. He used 85 ml of 40% saline solution and 34 ml of 12% saline solution.
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what is 7.25 converted as a fraction
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7.25 would be 7 1/4 or 29/4
Whoever answers correctly gets brainliest
2 mũ x+2 mũ x+2 mũ x+2 mũ x=32
Answer:
x = 3
Step-by-step explanation:
<=> 2^x + 2^x + 2^x + 2^x = 32
<=> 4x2^x=32
<=> 2^x = 8
<=> x = 3
Gross profit margin (GPM) measures the amount of gross profit (GP) generated with net sales. It gives us the company’s ability to earn profit on its inventories. Higher the ratio, more favorable it is. Compute it as follows:
Gross Profit Margin (GPM) is a metric used to calculate the percentage of gross profit earned by a business on its sales. The gross profit is calculated as revenue minus cost of goods sold (COGS), and the formula for gross profit margin is:(Gross Profit ÷ Revenue) x 100%.
The gross profit margin reveals the percentage of sales that turn into gross profit. A company with a higher gross profit margin has a better chance of generating a good profit than one with a lower gross profit margin. The gross profit margin formula allows companies to determine how much revenue is remaining to cover operating expenses and net profit. In computing gross profit margin, the following steps should be taken:
First, calculate gross profit as follows: Revenue - Cost of Goods Sold (COGS) = Gross Profit.
Then, use this formula to compute gross profit margin: Gross Profit ÷ Revenue x 100%.
The gross profit margin is an important ratio used to assess a company's profitability. It is important because it reflects the percentage of sales that contribute to covering operating expenses and generating net profits. A higher gross profit margin ratio indicates that a company is earning enough on sales to cover its operating expenses and generate profits.However, one of the major drawbacks of using gross profit margin as a profitability metric is that it does not account for operating expenses. This is why it is important to calculate other profitability metrics, such as operating profit margin, to gain a complete picture of a company's profitability.It is also important to compare gross profit margins over time and with industry averages to determine how a company is performing relative to its peers. A declining gross profit margin may indicate increasing costs, pricing pressures, or a shift in product mix. Conversely, an increasing gross profit margin may suggest that the company has a competitive advantage, pricing power, or is reducing its costs.
In summary, the gross profit margin measures the percentage of revenue that contributes to gross profit. A higher gross profit margin indicates that a company is earning enough on sales to cover its operating expenses and generate profits. However, it is important to compare gross profit margins over time and with industry averages to determine how a company is performing relative to its peers. Finally, it is important to use other profitability metrics, such as operating profit margin, to gain a complete picture of a company's profitability.
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what does it mean if the slope of a line is undefined
Answer:
Vertical line (straight up and down)
Step-by-step explanation:
The slope of a line can be positive, negative, zero, or undefined. A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).
Answer:
Step-by-step explanation:
the slope of any line is rise/run. What this means is that you have the change in y value divided by the change in x. If you have two points whos x value stays the same, or does not change, you have the change in y divided by 0. Dividing any number by 0 gives you the answer “undefined”.
What is the second step in costructing congruent angles?
Answer:
Given an angle formed by two lines with a common vertex, this page shows how to ... The above animation is available as a printable step-by-step instruction sheet, which can be ... This construction works by creating two congruent triangles
Step-by-step explanation: