The volume of a gas held at a constant temperature varies inversely with the pressure of the gas. If the volume of a gas is 5000 cubic centimeters when the pressure is 200 millimeters of mercury, what is the volume when the pressure is 500 millimeters of mercury?
Answer:
2,000 cubic centimeters
Step-by-step explanation:
if two variables vary inversely, there is a negative relationship between both variables. the increase in one variable leads to a decrease in the other variable
the equation that represents inverse proportion :
[tex]v = \frac{b}{p}[/tex]
where b = constant of proportionality
5000 = b / 200
b = 5000 x 200 = 1,000,000
v = 1,000,000 / 500
v = 2000
Helppp
No links plzzz I’m way behind in classs
Answer:
Step-by-step explanation:
option c is correct
if u change the divide sign into multiplication then always do its reciprocal.
Answer:
[tex]\frac{3x^3z^5}{5y}[/tex] ( [tex]\frac{20y^3}{x^2z^6}[/tex])
Step-by-step explanation:
When given the following equation,
[tex]\frac{3x^3z^5}{5y}[/tex] ÷ [tex]\frac{x^2z^6}{20y^3}[/tex]
The first step is to convert the equation into a form that can be solved, in essence dividing any number by a fraction is the same as multiplying that number by the reciprocal of the fraction. The reciprocal of a fraction is when one switches the position of the numerator and denominator, the numerator is the number on top of the fraction, and the denominator is the number underneath the fraction.
[tex]\frac{3x^3z^5}{5y}[/tex] ÷ [tex]\frac{x^2z^6}{20y^3}[/tex]
[tex]\frac{3x^3z^5}{5y}[/tex] * [tex]\frac{20y^3}{x^2z^6}[/tex]
Simplify, reduce the numbers that are found in common between the numerator and denominator,
[tex]\frac{3x^3z^5}{5y}[/tex] * [tex]\frac{20y^3}{x^2z^6}[/tex]
[tex]\frac{3x^3z^5*20y^3}{5y*x^2z^6}\\\\=\frac{3x*4y^2}{z}\\\\=\frac{12y^2x}{z}[/tex]
If a and b are real numbers such that a > 0 and b < 0, then which of the following is equivalent
to
Jal - b?
|a|-|b| is equal to a+b both equal to -3.Option K is correct.
What is ascending order, and how does it work?It is the numerical order in which the smallest number appears first, followed by the next number, and finally, the largest number appears last.
If a > 0,b < 0
Let a =3 and b = -6
|a|-|b|= |3|-|-6|= - 3
Check all the options;
F)|a-b|=|3-(-6)| = 9
G)|a-b|=|3+(-6)|=|3-6|=|-3|=3
H)|3|+|-6|=|3+6| = 9
J)a-b=3-(-6)=3+6 =9
K)a+b=3+(-6) = -3
|a|-|b| is equal to a+b both equal to -3.
Hence option K is correct.
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Helllllllloooppppppp pls . *
Answer:
It's 46
Step-by-step explanation:
Because 90-44 it's 46
Rommel has 3 kilograms of potatoes and 4 kilogramsof onions. He plans to use 1.5 kilograms of potatoes and 880 grams of onions fora recipe. How many total kilograms of the produce will not be used?
Answer:
4.62 KG
Step-by-step explanation:
1000 grams = 1kg
3kg = 3000g
4 kg = 4000g
1.5 = 1500g
left over potatoes = 3000 - 1500 = 1500 g or 1.5kg
left over onions = 4000 - 880 = 3120 = 3.12kg
total kilos not used = 1.5 + 3.12 = 4.62
Solve for x. Round to the nearest thousandth (0.001) if necessary.
11^x = 22
Answer:
x = 1.289
Step-by-step explanation:
11^x = 22
Take the log of both sides
xlog11 = log22
Divide both sides by log11
x = log22 / log11
Use calculator
x = 1.289
someone PLEASE HELP!!!
answer explanation = brainliest, 5 star rating
A cube is dilated by a factor of 3.5.
The volume of the resulting cube is ___ times the volume of the original cube.
Answer:
A cube is dilated by a factor of 3.5.
The volume of the resulting cube is _3.5³=42.875__ times the volume of the original cube.
Answer:
the volume of cube diladet
9375_______
A playground has two sandboxes. Each sandbox is in the shape of a right prism. The first sandbox has a square base with a side length of 8 feet. What is the area, in square feet, of the base of the first sandbox? Show or explain how you got your answer.
The area of the base of the first sandbox is 64 square feet
What is the area?Area is the measure of the amount of surface that a two-dimensional figure or shape covers. It is typically expressed in square units, such as square inches or square meters.
The area of a shape can be calculated by multiplying the length of its base by its height or by using specific area formulas for different shapes, such as the area of a circle or the area of a triangle.
The area of a square is given by the formula: A = s², where s is the length of one side of the square.
In this case, the sandbox has a square base with a side length of 8 feet. Therefore, the area of the base of the first sandbox is:
A = 8² = 64 square feet.
So, the area of the base of the first sandbox is 64 square feet
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Here is a diagram and its corresponding equation. Find the solution to the equation.
4+17=23
Step-by-step explanation:
4x+17=23
4x=23-17
4x=6
x=6/4
-5+9j=67
Please help me with math!
Answer: j=8
Step-by-step explanation: first, add 5 to both sides. You now have 9j = 72. Then divide each side by 9. You now have j=8
Question 16 of 20
To the nearest hundredth, what is the circumference of a circle with a radius
of 7 units?
A. 43.98 units
B. 21.99 units
C. 35.75 units
D. 153.94 units
Answer:
43.98
Step-by-step explanation:
The circumference of a circle with a radius of 7 units is approximately 43.98 units, which corresponds to option A.
What is the Circumference of a circle?The Circumference of a circle is defined as the product of the diameter of the circle and pi.
Given that the radius of the circle is 7 units, we can substitute this value into the formula:
To find the circumference of a circle, we can use the formula C = 2πr, where C represents the circumference and r represents the radius.
C = 2π(7) = 14π
Use the approximation π ≈ 3.14:
C ≈ 14(3.14) = 43.96
Rounding this value to the nearest hundredth, we get approximately 43.98 units.
Therefore, the circumference of a circle with a radius of 7 units is approximately 43.98 units.
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Simplify and give me steps please.
(5m^4/3 x 5n^1/4) (m^1/3 x 2n^1/8)
Answer:
(25m^4n^1/12)(m^1n^1/12)
Step-by-step explanation:
Re-order terms to the left.
(5*5m^4/3 * n^1/4) (m^1/3*2n^1/8)
Combine terms
(5*5m^4n^1/3/4) 2m^1n^1/3/3/8
Multiply
(25m^4n^1/3/4) 2m^1n^1/3/3/8
(25m^4n^1/3 * 4) 2m^1n^1/3/3*8
(25m^4n^1/12). 2m^1n^1/3/24
cancel common terms in both num and denominator
Final - (25m^4n^1/12) (2m^1n^1/12).
If AB is parallel to CD and the slope of CD is-5, what is the slope of AB?
O A.
01
B.
1
C. -5
D. 5
Answer:
C. -5
Step-by-step explanation:
If the two lines are parallel, they have the same slope. Therefore the slope of AB is -5.
Slope of line AB parallel to CD is -5
What is slope?The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line. The net change in y coordinate is Δy, while the net change in the x coordinate is Δx.
Given,
AB is parallel to CD
Slope of CD m = -5
When two lines are parallel
their slopes are same
m' is slope of AB
then
m' = m
m' = -5
Slope of AB is -5.
Hence, -5 is slope of line AB.
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2a + 3b = 5
b= a - 5
Answer:
I'm not sure but I thing the answer is 10
Step-by-step explanation:
solve the equation for
x 3/4(x+21) = 10.5
x =
✽✽✽✽
[tex]\frac{x\cdot \:3}{4\left(x+21\right)}=10.5[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}4\left(x+21\right)[/tex]
[tex]\frac{x\cdot \:3}{4\left(x+21\right)}\cdot \:4\left(x+21\right)=10.5\cdot \:4\left(x+21\right)[/tex]
[tex]3x=42\left(x+21\right)[/tex]
[tex]3x=42x+882[/tex]
[tex]\mathrm{Subtract\:}42x\mathrm{\:from\:both\:sides}[/tex]
[tex]3x-42x=42x+882-42x[/tex]
[tex]-39x=882[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-39[/tex]
[tex]\frac{-39x}{-39}=\frac{882}{-39}[/tex]
[tex]x=-\frac{294}{13}[/tex]
❅❅❅❅❅❅❅❅❅❅
hope it helps...have a great day!!Weight of a rock: In a geology course, students are learning to use a balance scale to accurately weigh rocks. One student plans to weigh a rock 20 times and then calculate the average of the 20 measurements to estimate her rock's true weight. A second student plans to weigh a rock 5 times and calculate the average of the 5 measurements to estimate his rock's true weight. Suppose the students construct a 95% confidence interval for the true weight of their rocks. Whose interval do you expect to be more precise (narrower)
Answer:
The first student, with 20 measurements, will have the more precise interval due to the larger sample size.
Step-by-step explanation:
Margin of error of a confidence interval:
The margin of error of a confidence interval has the following format:
[tex]M = z\frac{s}{\sqrt{n}}[/tex]
In which z is related to the confidence level, s to the standard deviation and n to the sample size.
The margin of error is inversely proportional to the square root of the sample size, which means that a larger sample will lead to a lower margin of error, that is, to a more precise interval.
In this question:
One student will use 5 measurements, other 20. The first student, with 20 measurements, will have the more precise interval due to the larger sample size.
HELPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
720
Step-by-step explanation:
This is a permutation of 10 choose 3
10 ! 10!
----- = ------------ = 10*9*8 = 720
(10-3)! 7!
find the value of (256)-3/4
help with steps pls
Answer:
Step-by-step explanation:
(256)-3/4
=256*-3/4
=-768/4
=-192
Will give 100 pointsss!!
Find the time required for the
amount to double. (Approximate the result to two decimal places.)
Answer:
12.16 years
Step-by-step explanation:
Continuous Compounding Formula
[tex]\large \text{$ \sf A=Pe^{rt} $}[/tex]
where:
A = Final amountP = Principal amounte = Euler's number (constant)r = annual interest rate (in decimal form)t = time (in years)Given:
A = $5,000 (double the initial investment)P = $2,500r = 0.0570Substitute the given values into the formula and solve for t:
[tex]\sf \implies 5000=2500e^{0.0570t}[/tex]
[tex]\sf \implies \dfrac{5000}{2500}=\dfrac{2500e^{0.0570t}}{2500}[/tex]
[tex]\sf \implies 2=e^{0.0570t}[/tex]
Take natural logs of both sides:
[tex]\sf \implies \ln 2=\ln e^{0.0570t}[/tex]
[tex]\textsf{Apply the power law}: \quad \ln x^n=n \ln x[/tex]
[tex]\sf \implies \ln 2=0.0570t\ln e[/tex]
As ln e = 1:
[tex]\sf \implies \ln 2=0.0570t[/tex]
[tex]\sf \implies \dfrac{\ln 2}{0.0570}=\dfrac{0.0570t}{0.0570}[/tex]
[tex]\sf \implies t=\dfrac{ \ln 2}{0.0570}[/tex]
[tex]\implies \sf t=12.16047685...[/tex]
Therefore, the time required for the amount to double is 12.16 years (2 d.p.).
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what is the answer to −5/12−3/10
Answer:
The answer is -0.71666666666 in decimal form.
In fraction form it is -43/60.
Step-by-step explanation:
In the figure below, ∠PQR and ∠TQS are vertical angles. What is the value of x? *
A. 16
B. 32
C. 48
D. 66
Answer:
A) 16
Step-by-step explanation:
∠PQR and ∠TQS are vertical, meaning they equal each other
set up your formula as
3x+18=66
3x=66-18
3x=48
x=48/3
x=16
How long is a pencil the nearest inch and to the nearest centimeters?
Answer:
A standard hexagonal pencil is approximately 7.5 inches in lenght. This is 19 centimeters when converted.
The question says to the nearest inch. Therefore we have to approximate to to a whole number.
7.5, when rounded up to the nearest number, is 8 inches.
Hence, the answer is 8 inches or 19 centinmeters.
Cheers
Lilly went shopping with her mother. She took $48.95 with her to spend. She spent $23.57 at one store. How much money did she have left?
Answer:
Difference= $25.28
Step-by-step explanation:
Giving the following information:
She took $48.95 with her to spend. She spent $23.57 at one store.
To calculate the money she has left, we need to use the following formula:
Difference= total amount of money - money spent
Difference= 48.95 - 23.57
Difference= $25.28
HALP TELLL ME HOW!!!!!!!!!!!!
Answer:
V=82944
Step-by-step explanation:
FORMULA (Im guessing u just wanted answer but if u want formula there u go.
V= 1/3(a^2h)
Answer:
[tex]576 ~cubic ~centimeters[/tex]
Step-by-step explanation:
[tex]B=144cm^2[/tex]
[tex]h=12cm[/tex]
[tex]V=1/3~B*h[/tex]
[tex]=1/3(144)(12)[/tex]
[tex]=576 cm[/tex]
--------------------
hope it helps...
have a great day!!
what is 30+30-20x2+600 correct eqals brainlist
Answer:
[tex]\huge\boxed{Answer\hookrightarrow}[/tex]
[tex]30 + 30 - 20 \times 2 + 600 \\ = 60 - 40 + 600 \\ = 20 + 600 \\ = 620[/tex]
⎇ The correct answer is 620.
# ꧁❣ RainbowSalt2²2² ࿐
Answer:
[tex]620[/tex]
Step-by-step explanation:
[tex]30+30−20 \times 2+600[/tex]
[tex]30+30−40+600[/tex]
[tex]60 - 40 + 600[/tex]
[tex]20 + 600[/tex]
[tex]620[/tex]
Hope it is helpful....Help help legit answers only
Answer:
x ≈ 46.7°
Step-by-step explanation:
Using the sine ratio in the right triangle
sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{OP}{NP}[/tex] = [tex]\frac{4}{5.5}[/tex] , then
x = [tex]sin^{-1}[/tex] ([tex]\frac{4}{5.5}[/tex] ) ≈ 46.7° ( to the nearest tenth )
1. All of the following are true except B. A. A random variable represents a numerical value assigned to an outcome of a probability experiment. In most applications, discrete random variables represent counted data. C. In most applications, continuous random variables represent measured data. D. The expected value of a discrete random variable is equal to the standard deviation of the random variable.
Answer:
The true statements are :
A. A random variable is a numerical description of the outcome of a statistical experiment.
B. In most applications, discrete random variables represent counted data.
C. In most applications, continuous random variables represent measured data.
Step-by-step explanation:
It is true statement that,
A. A random variable is a numerical description of the outcome of a statistical experiment.
B. In most applications, discrete random variables represent counted data.
C. In most applications, continuous random variables represent measured data.
The false statement is -
D. The expected value of a discrete random variable is equal to the standard deviation of the random variable.
Reason -
The mean value, or expected value, of a discrete random variable X is given by the following equation:
μ = E(x) = ∑ x p(x)
And
The variance of a discrete random variable is given by the following formula:
σ²=∑ (x−μ)² P(x)
And
The square root of the variance, or, in other words, the square root of σ², is the standard deviation of a discrete random variable :
σ = √σ²
HELPPPPPP!!! pls pls
Answer:
12 inches
Step-by-step explanation:
hope this helps
Answer:
720
Step-by-step explanation:
20 yards = 720 inches
Find the distance between the points (1, 4) and (- 2, - 1).
PLEASEEE HELP I WILL MARK BRAINLIESTTTT!!! (NO LINKS)
Describe how the data is dispersed in a box plot with the following data set: 25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24.
Given:
The data set is:
25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24
To find:
The box plot for the given data set.
Solution:
We have,
25, 36, 21, 30, 20, 32, 38, 19, 36, 31, 26, 33, 27, 18, 24
Arrange the data in ascending order.
18, 19, 20, 21, 24, 25, 26, 27, 30, 31, 32, 33, 36, 36, 38
Divide the data in two equal parts.
(18, 19, 20, 21, 24, 25, 26), 27, (30, 31, 32, 33, 36, 36, 38)
Divide each parenthesis in two equal parts.
(18, 19, 20), 21, (24, 25, 26), 27, (30, 31, 32), 33, (36, 36, 38)
Now, the five number summary of the given data set is:
Minimum value = 18
First quartile = 21
Median = 27
Third quartile = 33
Maximum value = 38
Therefore, the required box plot for the given data set is shown below.