Determine the mass of a solid steel ball that has a diameter of 10 cm. The density of pure steel is 8.09 g/cm3
Answers
Answer:
The mass of the steel ball is 4,235.9 gr
Step-by-step explanation:
Density
The density ρ of a substance is a measure of its mass per unit volume:
\(\displaystyle \rho=\frac{m}{V}\)
If the density and the volume are given, the mass can be calculated by solving the above formula for m:
\(m=\rho.V\)
We know the density of pure steel ρ=8.09 gr/cm3 and the diameter of a solid steel ball d=10 cm.
We need to calculate the volume of the sphere:
The volume of a sphere of radius r is given by:
\(\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3\)
The radius is half the diameter: r= 10/2 = 5 cm. Thus:
\(\displaystyle V=\frac{4}{3}\cdot \pi\cdot 5^3\)
Calculating:
\(V=523.6\ cm^3\)
The mass is:
\(m=8.09 gr/cm^3 \cdot 523.6\ cm^3\)
m=4,235.9 gr
The mass of the steel ball is 4,235.9 gr
Related Questions
h(x) = 3x; Find h(-6)
Answers
h(x)=3x
h(x)=3(-6)
h(x)=-18
Maria plans to use fencing to build an enclosure or enclosures for her two horses. A single enclosure would be square shaped and require an area of 2,025 ft2. Two individual adjacent enclosures would be rectangular, with dimensions 20 ft by 40 ft with a 40 ft divider between the two enclosures. A square and a rectangle are shown. The square has an area of 2,025 feet squared. The rectangle is comprised of 2 rectangles that are 20 by 40 feet long. Which statement explains the design Maria should choose to minimize her costs
Answers
Answer:
A. The singular enclosure would minimize cost because it requires 180 feet of fencing.
Step-by-step explanation:
Given
Single enclosure
\(Area = 2025ft^2\) --- of square
Two adjacent enclosures
\(Dimension= 20ft\ by\ 40ft\) ---- both rectangles
\(Divider = 40ft\)
Required
Determine the true statement to minimize cost
Start by calculating the perimeter of the single enclosure.
Let
\(l \to\) length of the enclosure (square shape)
So:
\(Area = l^2\)
\(2025 = l^2\)
Rewrite as:
\(l^2 = 2025\)
Take square roots
\(l = 45\)
The perimeter (P) is then calculated as:
\(P = 4l\)
\(P = 4 * 45\)
\(P_1 = 180ft\)
Next, the perimeter of the two enclosures.
Let
\(l \to\) length of the enclosure
\(w \to\) width of the enclosure
\(l = 20\)
\(w =40\)
The perimeter of 1 enclosure is:
\(P = 2(l + w)\)
\(P = 2(20 + 40)\)
\(P = 2*60\)
\(P = 120\)
For 2 enclosures
\(P_2 =2 * P\)
\(P_2 =2 * 120\)
\(P_2 =240\)
Remove the length of the divider
\(P_2 = 240 - 40\)
\(P_2 = 200ft\)
By comparison;
\(P_1 < P_2\)
i.e.
\(180ft < 200ft\)
Hence, the singular enclosure will minimize costs
Answer:
A
Step-by-step explanation:
the goal is to test to determine if there is a significant difference between mean value added by the manufacturer and the mean cost of materials in manufacturing assuming a 1% level of significance. use excel to perform the f-test for equality of variances at the 1% significance level. which variable will be group 1? what can you conclude from running the f-test?
Answers
If the resulting F-statistic is less than the critical value, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the variances are significantly different.
The F-test is a statistical test used to compare the variances of two groups.
In this problem, we will use it to compare the variance of the value added by the manufacturer and the variance of the cost of materials in manufacturing. The F-test is performed by dividing the larger variance by the smaller variance. The resulting F-statistic is then compared to the critical value of an F-distribution with degrees of freedom equal to the sample size minus one for each group.
Before we can perform the F-test, we need to determine which variable will be group 1. Typically, the variable with the smaller mean is designated as group 1. This is because we want to minimize the chance of making a type II error, which is failing to reject the null hypothesis when it is false. If we designated the variable with the larger mean as group 1, we might not detect a significant difference between the groups, even if one exists.
Once we have designated which variable will be group 1, we can perform the F-test. If the resulting F-statistic is greater than the critical value of the F-distribution, we reject the null hypothesis and conclude that the variances are significantly different.
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Can someone please explain this to me
Answers
Answer:
\(15u^{2}\)
Step-by-step explanation:
let's say each square is = \(1u^{2}\)
triangle A area: 2*5
\(\frac{2*5}{2}=5u^{2}\)
----------------------------------
triangle B area: 2*2
\(\frac{2*2}{2}=2u^{2} \\Triangle A - B = 5 - 2= 3u^{2}\)
----------------------------------
next figure
triangle C area 3*3
\(\frac{3/3}{2}=4.5u^{2}\\ -------------\\\\3u^{2}+4.5u^{2}=7.5u^{2}\\ -------------\\\)
And since the other figure is a reflection *2
\(7.5u^{2}*2=15u^{2}\)
Answer:
A = 15 units²
Step-by-step explanation:
the area (A) of the shaded triangle is calculated as
A = area of rectangle enclosing the triangle - area of white triangles on either side of shaded triangle and the one on top
area of rectangle = 10 × 5 = 50 units²
area of 2 congruent triangles = 2 × \(\frac{1}{2}\) × 5 × 5 = 5 × 5 = 25 units²
area of top triangle = \(\frac{1}{2}\) × 10 × 2 = 5× 2 = 10 units²
A = 50 - 25 - 10= 15 units²
Help plsssssssss. Find X
Answers
Answer: A) 7
hope that helps you. :)
tha answer that you want is 11 because 5×11=55
The graph of a system of linear equations is shown below.
Answers
Answer:
wheres the graph lol ?
Answer
graph?
Step-by-step explanation:
Please, someone help me. This is geometry, 10th grade level.
Find the areas listed below, round to the nearest
hundredth if necessary. Make sure you use 3.14
for pie
Answers
The area of the circle is 200.96 square kilometers, the area of the polygon is 181.02 square kilometers and the shaded region is 19.94 square kilometers.
Calculating the area of the shaded region
The area A of a circle with radius r can be found using the formula:
A = πr^2
Plugging in the given value of radius, we get:
A = π(8 km)^2
Simplifying the expression, we get:
A = 64π km^2
So, we have
A ≈ 64 x 3.14 km^2
A ≈ 200.96 km^2
To find the area of an octagon with a radius of 8 km, we can break it up into eight congruent isosceles triangles.
So, we have
Area = 8 * Area of triangle
This gives
Area = 8 * 1/2 * r² sin(central angle)
So, we have
Area = 8 * 1/2 * 8² sin(45)
Evaluate
Area = 181.02
The shaded area is
Shaded = 200.96 - 181.02
Shaded = 19.94
Hence, the shaded area is 19.94 square kilometers.
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Plsss help I will give brainliest
Answers
In the table, it shows that for both grades 7 and 8 there are 10 students in band so it’s equal
What is the product of −2 2/5 and −3 5/6?
A. -9 1/5
B. -6 7/30
C. 6 1/3
D. 9 1/5
Answers
Answer:
i think its D but not really sure
Step-by-step explanation:
what are all the possible values of ml if l = 0 (an s orbital)?
Answers
For an s orbital (l = 0), the possible values of ml are limited to a single value, which is 0.
In quantum mechanics, the magnetic quantum number (ml) describes the orientation of an atomic orbital in a magnetic field. The ml values depend on the value of the orbital angular momentum quantum number (l), which determines the shape of the orbital.
For an s orbital, the value of l is 0, indicating a spherical shape. The allowed values of ml range from -l to +l. Since l = 0, the only possible value for ml is 0. This means that the electron in an s orbital does not possess any orbital angular momentum and does not have a specific orientation in space.
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according to flightstats.com, american airlines flights from dallas to chicago are on time % of the time. suppose flights are randomly selected, and the number of on-time flights is recorded. (a) explain why this is a binomial experiment. (b) determine the values of n and p. (c) find and interpret the probability that exactly flights are on time. (d) find and interpret the probability that fewer than flights are on time. (e) find and interpret the probability that at least flights are on time. (f) find and interpret the probability that between and flights, inclusive, are on time.
Answers
According to the flight on certain routes, the experiment is a binomial experiment and this will be determined by observing that Flights on a certain route are on-time 80% of the time and 10 flights are randomly selected and the number of on-time flights is recorded.
(a) This is a binomial experiment since there are only two possible outcomes for each data that is a flight is either on time (p = 80% = 0.8) or late (q = 1 - p = 1 - 0.8 = 0.2).
(b) Using the formula:
P(a out of n) = (nCa)(pᵃ)(qⁿ⁻ᵃ), where n = 10 flights, a = the number of flights that arrive on time:
P(7/10) = (10C7)(0.8)⁷ (0.2)³= 0.2013
Therefore, 0.2013 chance is there that exactly 7 of 10 flights will arrive on time.
(c) Fewer than 7 flights are on time means that we must add up the probabilities for P(0/10) up to P(6/10).
P(0/10) + P(1/10) + ... + P(6/10) = 0.1209
This means that 0.1209 chance that less than 7 flights will be on time.
(d) The probability that at least 7 flights are on time is the exact opposite of part (c), where less than 7 flights are on time. So instead of calculating each formula from scratch, we can simply subtract the answer in part (c) from 1.
1 - 0.1209 = 0.8791.
So there is a 0.8791 chance that at least 7 flights arrive on time.
(e) For this, we must add up P(5/10) + P(6/10) + P(7/10), which gives us
0.0264 + 0.0881 + 0.2013 = 0.3158, so the probability that between 5 to 7 flights arrive on time is 0.3158.
According to the flight on certain routes, the experiment is a binomial experiment
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DISCLAIMER: The question provided is incomplete as some data are missing. The above answer is solved as per a relevant question
According to an airline, flights on a certain route are on time 80 % of the time. suppose 10 flights are randomly selected and the number of on-time flights is recorded. (a) explain why this is a binomial experiment. (b) find and interpret the probability that exactly 7 flights are on time. (c) find and interpret the probability that fewer than 7 flights are on time. (d) find and interpret the probability that at least 7 flights are on time. (e) find and interpret the probability that between 5 and 7 flights, inclusive, are on time.
greatest common factor of 35x+14
Answers
Answer:
5x + 2
Step-by-step explanation:
35x + 14 / 7 = 5x + 2
Drag each part of the expression to categorize it as a term or a coefficient in the expression. −2/5h+7h+6
Answers
If the expression be −2/5h+7h+6 then the value of h be -10/11.
What is meant by expression?A mathematical expression is a phrase that includes at least two numbers or variables, at least one arithmetic operation, and the expression itself. Any one of the following mathematical operations can be used.
An expression in mathematics is made up of a number of variables, functions, and other elements (such as addition, subtraction, multiplication or division etc.) In some ways, phrases and expressions are comparable.
Using mathematical operations like addition, subtraction, multiplication, and division, a combination of numbers and integers can be expressed numerically in mathematics.
Let the equation be -2/5h + 7h + 6 = 0
Move 6 to the right side
-2/5h + 7h = -6
Multiply both sides by 5
-2/5h × 5 + 7h × 5 = -6 × 5
Simplifying the above equation, we get
33h = -30
Divide both sides by 33
33h/33 = -30/33
Therefore, the value of h = -10/11.
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x y z
x² y² z²
yz zx xy
Answers
Answer:
simplify?
x^5 Y^5 Z^5
Step-by-step explanation:
need help with my assignment
Answers
Considering a growth factor of 10, the values of the exponential function are given as follows:
1 hour: 10 bacteria.2 hours: 100 bacteria.3 hours: 1,000 bacteria.4 hours: 10,000 bacteria.5 hours: 100,000 bacteria.6 hours: 1,000,000 bacteria.What is an exponential function?An exponential function is a function in which when the input x is increased by one, the output y is multiplied by the growth factor.
From the table given in the problem, the growth factor is of 8, meaning that when the input variable representing the number of hours is increased by one, the output is always multiplied by 8.
For the second table, which we have to fill, the growth factor is of 10, meaning that for each hour, the number of bacteria is given by the number of bacteria in the previous hour multiplied by 10, then:
10 x 1 = 10. (hour 1).10 x 100 = 100(hour 2).And so on...
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-2+ 3(1-4)-2 what to do ???
Answers
Answer:
-13
Step-by-step explanation:
−2+3(1−4)−2
=−2+(3)(−3)−2
=−2+−9−2
=−11−2
=−13
Step-by-step explanation:
Is this ok
If its correct, please don't forget to like and mark me
Joe and Steve are saving money. Joe starts with $105 and save $5 a week. Steve starts with $5 and saves $15 per week. After how many weeks will they have the same amount of money?
Answers
Answer:
10
Step-by-step explanation:
y= 5x+105,y=15x+5 are the equations. Use them and you should get 10 weeks ($155)
After 10 weeks Joe and Steve will have the same amount as $155.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Let's say after N number of weeks Joe and Steve will have the same amount of money
Then,
Joe has ⇒ 105 + 5N
Steve has ⇒ 5 + 15N
Now,
105 + 5N = 5 + 15N
10N = 100
N = 10
Hence "After 10 weeks Joe and Steve will have the same amount as $155".
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A table costs Rs 720 to make. He sells it for Rs 920. What percentage of profit did he earn?
Answers
Answer:
27 7/9%
Step-by-step explanation:
Take the selling price and subtract the cost
920 -720 = 200
Divide it by the cost
200/720
.27777777
Change to percent form
27.777777%
27 7/9%
Answer:
profit percentage = 27.8 %Step-by-step explanation:
To find the percentage of profit we use the formula
\( \frac{profit}{cost \: \: price \: } \times 100\)
Subtract the cost price from the selling price to obtain the profit
Cost price = Rs 720
Selling price = Rs 920
Profit = Rs 920 - Rs 720 = Rs 200
So the profit percentage is
\( \frac{200}{720} \times 100\)
We have the final answer as
profit percentage = 27.8 %Hope this helps you
Help fast please i need it
Answers
Answer:
420
Step-by-step explanation:
Answer:
420
Step-by-step explanation:
vnhfuurrttjnnnnnbh
Megan rides a bicycle 19 miles every 4 hours. At this rate, how many hours did Megan ride if she rode 57 miles?
Answers
Go to artofstat.com, click on WebApps and open the Explore Coverage app. Change the tab on top of the graph to Confidence Interval for a Mean. Change the Population Distribution to Bell-shaped and use the default mean=50 and standard deviation=10. Under "Choose confidence level (in %)" use the default 95, and under "Select sample size (n)" use the default of n=20. Under "Select how many samples (of size n) you want to draw from the population" select 10. Click on "Draw sample(s)" and note that ten confidence intervals appear under the population graph. Under Coverage, the app displays two percentages - "cover" and "do not cover". Coverage represents:
A) the percentage of the 10 intervals that cover the true sample mean.
B) the percentage of the 10 intervals that cover the true population proportion.
C) the percentage of the 10 intervals that cover the sample mean computed from each sample.
D) the percentage of the 10 intervals that cover the true population mean.
Answers
Coverage represents the percentage of the 10 intervals that cover the exact true population mean. This is because the Confidence Interval for a Mean is used to estimate the true population mean with a certain particular level of confidence.
The "cover" percentage in the app refers to the proportion of intervals that include the true population mean, while the "do not cover" percentage refers to the proportion of the intervals that do not include the true population mean.
Therefore, Coverage is a measure of how well the Confidence Interval for a Mean is able to capture the true population mean.
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plsss help i’ll give brainlist to right answer
Answers
Answer:All I know is that it’s not < or > but It might be ≤
Step-by-step explanation: Bye the way, you can only give brainliest when there is two questions.
\(\leq\)
Step-by-step explanation:
Find the sum of 2√5 AND 4√3 in simplest form. Also, determine whether the result is rational or irrational and explain your answer.
Answers
Answer:
hey why you delete my answers
Given parallelogram LMNO with diagonals intersecting at point P. If MP = 2x + 5 and OP = 3x − 4, find OP.
Answers
Answer:
OP = 23
Step-by-step explanation:
• The diagonals of a parallelogram bisect each other , then
OP = MP , that is
3x - 4 = 2x + 5 ( subtract 2x from both sides )
x - 4 = 5 ( add 4 to both sides )
x = 9
Then
OP = 3x - 4 = 3(9) - 4 = 27 - 4 = 23
According to the following expression, what is \( z \) if \( x \) is 32 and \( y \) is 25 ? \[ z=(x
Answers
When x = 32 and y = 25, the value of z is calculated as 3200 using the given expression.
According to the following expression, the value of z when x = 32 and y = 25 is:
[z = (x+y)² - (x-y)²]
Substitute the given values of x and y:
\(\[\begin{aligned}z &= (32+25)^2 - (32-25)^2 \\ &= 57^2 - 7^2 \\ &= 3249 - 49 \\ &= \boxed{3200}\end{aligned}\]\)
Therefore, the value of z when x = 32 and y = 25 is \(\(\boxed{3200}\)\).
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Complete Question:
i five man take 45 hours to build a wall how long will it take 9 men working at the same pace to build this wall
Answers
Answer:
81 hours
Step-by-step explanation:
Let x be the time are needed
45：5 = x：9
5x = 45×9
5x = 405
x = 81
The time it takes 9 men working at the same pace to build this wall is 81 hours
Ratio and proportionsLet x be the time are needed for 9men
If it takes five-man take 45 hours to build a wall then, we can have the ratio
45：5 = x：9
5x = 45×9
5x = 405
x = 81
Hence the time it takes 9 men working at the same pace to build this wall is 81 hours
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Explain why two variables must both be quantitative in order to find the correlation between them
Answers
If the variables are not quantitative we cannot do the arithmetic required in the formulas for r.
What is a variable?A variable in mathematics is a symbol and placeholder for a changing quantity or any mathematical object.A variable can specifically represent a number, a vector, a matrix, a function, a function's argument, a set, or an element of a set.Quantitative order:
Quantitative methods emphasize objective measurements and statistical, mathematical, or numerical analysis of data gathered through polls, questionnaires, and surveys, as well as by manipulating pre-existing statistical data using computational techniques. Ordinal-level measurement data can be quantitative or qualitative. They can be arranged in ranked order, but differences between entries are meaningless. Measurement data at the interval level are quantitative. They can be arranged in any order, and meaningful differences between data entries can be calculated. We can't do the arithmetic required in the r formulas if the variables aren't quantitative.Therefore, if the variables are not quantitative we cannot do the arithmetic required in the formulas for r.
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Katy and her sister started watching a cartoon movie at 11:00 A.M. The movie was 2 hours and 15 minutes long. After the movie, they played a card game for 45 minutes and then played soccer in the backyard for 1 hour and 45 minutes. What time was it when Katy and her sister finished playing soccer?
Reward:Brainliest
Include A.M. or P.M. in your answer (for example, 11:58 A.M.).
Answers
Answer:
15:00 PM and 3:00 PM ,they mean the same exact thing
Step-by-step explanation:
Which of the this is a mathematical translation of "A number increased by 7".
A. a + 7
B. 7 + a
C. 7a
D. 7/a
Answers
the keyword is “increased”. That shows that you need to add instead of multiply. “a” is the secret number. Think of it like a sandwich... the bread is a (the secret number) and the meat is + (increased by) and the other bread is the 7. Hope this helps!:)
An airplane travels 4020 kilometers against the wind in 6 hours and 4800 kilometers with the wind in the same amount of time. What is the rate of the plane in still air and what is the rate of the wind?
Answers
Answer:
Rate of plane 735 km/hr
Rate of wind 65 km/hr
Step-by-step explanation:
Calculation to determine the rate of the plane in still air
Let Va represent the velocity of the airplane
Let Vw represent the velocity of the wind
When flying with the wind:
(Va+Vw)*(6 hours) = 4800
6Va + 6Vw = 4800
6Vw = 4800 - 6Va
Vw=4800/6-Va
Vw = 800 - Va
When flying against the wind:
(Va-Vw)*(6 hours) = 4020 km
6Va - 6Vw = 4020
Substitute 800-Va for Vw and solve for Va:
6Va - 6(800-Va) = 4020
6Va -4800 + 6Va = 4020
12Va = 8820
Va=8820/12
Va = 735 km/hr
Therefore the rate of the plane in still air is 735 km/hr
Calculation to determine the rate of the wind
Rate of wind:
Vw = 800 - Va
Vw= 800 -735
Vw= 65 km/hr
Therefore the rate of the wind is 65 km/hr