The weight of the statue to the nearest ounce is 576 ounces.
The volume of a sphere can be calculated using the formula V = (4/3)πr^3, where r is the radius of the sphere. Since the diameter is given as 10 inches, the radius is half of that, or 5 inches.
Using the formula, we can find the volume of the sphere:
V = (4/3)πr^3
V = (4/3)π(5^3)
V = (4/3)π(125)
V = 523.6 cubic inches (rounded to one decimal place)
Since we know the weight of the clay per cubic inch, we can find the weight of the statue by multiplying the volume by the weight per cubic inch:
Weight = Volume × Weight per cubic inch
Weight = 523.6 in^3 × 1.1 oz/in^3
Weight = 575.96 oz (rounded to two decimal places)
Therefore, the weight of the statue is approximately 576 ounces or 36 pounds (rounded to the nearest pound).
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The reading group checked out 36 library books. 17 books are fiction, 10 are biographies, and some are science. How many books are science?
Answer:
9 science books
Step-by-step explanation:
Step 1) 36 - 17 = 19
Step 2) 19 - 10 = 9
In a school egg drop challenge, 68 of the eggs broke out of 100 total. What percent of the eggs survived the drop?
HELP FAST
1. Find the missing angle measurements.
2. Describe how you found the missing angle measurements.
3. List all angle relationships.
4. Identify which angle relationships are Supplementary or Equal.
Answer:
Angle 1: 145 degrees
Angle 2: 35 degrees
Angle 3: 145 degrees
Angle 4: 35 degrees
Angle 5: 145 degrees
Angle 6: 35 degrees
Angle 7: 145 degrees
Angle 8: 35 degrees
Step-by-step explanation:
1) See above.
2) Angles 4 and 2 are equal, because they are vertical angles (share a vertex) where two parallel lines are cut by a transversal (line c?)
Angles 1 and 2 equal 180 degrees when added together, so 180 - 35 = 145, which is the measure of angle 1.
Angles 1 and 3 are also vertical, and therefore equal.
When two or more lines are cut by a transversal, the angles that are in the same relative position are corresponding angles.
When the lines are parallel, the corresponding angles are congruent.
Congruent angles are equal. So Angle 1 = Angle 5 and Angle 2 = Angle 6. Then the rules for vertical angles apply again, giving you the measures for angles 7 and 8.
3) 1 and 3 are vertical, 2 and 4 are vertical, 5 and 7 are vertical, 6 and 8 are vertical.
1 and 5 are corresponding, 2 and 6 are corresponding, 3 and 7 are corresponding, 4 and 8 are corresponding.
4) 1 and 2, 3 and 4, 5 and 6, 7 and 8 are all supplementary pairs.
1 and 4, 2 and 3, 5 and 8, and 6 and 7 are supplementary pairs.
1 and 3, 2 and 4, 5 and 7, 6 and 8 are equal pairs because they are vertical.
1 and 5, 2 and 6, 3 and 7, 4 and 8 are equal pairs because they are corresponding.
Hopefully this covers all they wanted.
I need help pleaseeeee
Answer:
the answer is -
Step-by-step explanation:
Answer:
This Looks liKe the rise is -10 and the run is 10
Find an interval of z-values, of length one, where the solution to g(x) = 0 is located (c) Using the left end of your interval as the first approximation, follow Newton's method for ONE step to find a better approximation to the critical point (you may give an answer in terms of e or an approximation to 2 decimal places).
The first approximation to the critical point using Newton's method is x₁ = 4/3.
Given, g(x) = x³ - 3x² + 3x - z
We need to find an interval of z-values, of length one, where the solution to g(x) = 0 is located.
We know that g(x) = x³ - 3x² + 3x - z is a continuous function.
Also, g(0) = -z which can be made as small as we want by taking z to be sufficiently large positive number.
Let z = 5.
Then,
g(0) = -5<0
Also, g(1) = 1 - 3 + 3 - 5 = -3 < 0
and g(2) = 8 - 12 + 6 - 5 = -3 + (-5) = -8 < 0
Hence, by Intermediate Value Theorem, the equation g(x) = 0 has a solution in (0, 1) and (1, 2) respectively.
Now, using the left end of your interval as the first approximation, follow Newton's method for ONE step to find a better approximation to the critical point.
Critical point of the function is given by f'(x) = 0.
We have, g(x) = x³ - 3x² + 3x - z
Differentiating with respect to x, we get
g'(x) = 3x² - 6x + 3
We have to use Newton's method using x₀ = 1 to find the first approximation.x₁ = x₀ - f(x₀) / f'(x₀)
We know that, f(x) = g(x) - 0 = x³ - 3x² + 3x - z
Substituting x₀ = 1 in the above formula,
x₁ = x₀ - f(x₀) / f'(x₀)
⇒ x₁ = 1 - [1³ - 3(1)² + 3(1) - 5] / [3(1)² - 6(1) + 3]
⇒ x₁ = 1 - (-1) / 3 = 4/3
Hence, the first approximation to the critical point using Newton's method is x₁ = 4/3.
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$5200 at 7.36% for 54 months.
Answer:
https://quizlet.com/71025324/ch-6-simple-interest-flash-cards/
Step-by-step explanation:
that has all your questions
Find the length of side x to the nearest tenth.
300
x
1
60°
Answer:
x=65
Step-by-step explanation:
10 is what percent of 40
Answer:
25%
Step-by-step explanation:
To find what percentage of 40 is 10, you must do this:
10÷40 = 0.25
Then multiply by 100 to find the percentage:
0.25 × 100 = 25%
The answer is 25%.
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find the critical value za/2 needed to construct a confidence interval with level 82%. round the answer to two decimal places.
Using the z table, the critical value \(z_{a/2}\) needed to construct a confidence interval with level 82% is 1.34.
In the given question,
We have to find the critical value \(z_{a/2}\) needed to construct a confidence interval with level 82%.
The confidence interval is 82%.
We can write 82% as 82/100 and 0.82.
Now the value of
\(\alpha\)=1−0.82
\(\alpha\)=0.18
Now finding the value of \(\alpha\)/2
\(\alpha\)/2=0.18/2
\(\alpha\)/2=0.09
Now finding the value of \(z_{a/2}\).
\(z_{0.82}\) = 1.34
Hence, the critical value \(z_{a/2}\) needed to construct a confidence interval with level 82% is 1.34.
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Here is an inequality: −3x>18. 1. Which of the following describes the values for x that would make this inequality true. A. Any values greater than -6 A. Any values greater than -6 B. Any values less than -6 B. Any values less than -6 C. Any values greater than 21 C. Any values greater than 21 D. Any values less than 21 D. Any values less than 21 2. Explain how the solutions to the inequality −3x ≥18 different from the solutions to −3x > 18.
Answer: B because a negative x negative is a positive, making them all higher than 18. The first inequailty means it can be equal to 18 and the second means -3x has to be greater, ex 19 or above
Step-by-step explanation:
PLEASE HELP IM GIVING 25 POINTS!!! THANKSSSSS
A hoverboard manufacturer has just announced the Glide 5 hoverboard. The accounting department has determined that the cost to manufacture the Glide 5 hoverboard and the equation is y = 25.42x + 23452y
The revenue equation is y=70.52x
What is the break-even point for the Glide 5 hoverboard?
The break even point for the Glide 5 hoverboard is .
(Round x to the nearest whole number and y to two decimal places.)
PLEASE HELP IM GIVING 25 POINTS!!! THANKSSS
The break even point will be "(520, 36670.4)".
Given that:
Cost function,
\(y = 25.42x + 23452\)Revenue function,
\(y=70.52x\)We know that, at break even:
→ \(Cost \ price = Revenue \ price\)
Now,
→ \(70.52x=25.42x + 23452\)
By substracting "25.42x" from both sides, we get
→ \(70.52x-25.42x=25.42x + 23452-25.42 x\)
→ \(45.1 x = 23452\)
→ \(x = \frac{23452}{45.1}\)
→ \(= 520\)
then,
→ \(y = 70.52x\)
→ \(= 70.52\times 520\)
→ \(= 36670.4\)
Thus the answer above is correct.
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The bar chart below shows the monthly energy bill for Wally's tackle shop.
Which of the listed months had bills between $40 and $50? Scroll down to
see all six answer options and check all that apply.
Energy bill (S)
70
60
50
40
30
20
10
January
February
March
April
Months
August
September
October
ՅզաaAON
December
Answer:
March, June, and November
Step-by-step explanation:
See attached image for the utility bills by month. Draw a line along the $40 and $50 lines on the y axis and select the months that fall within these two lines.
4x(x/3 - 2) when x = -3
Answer:
36
Step-by-step explanation:
4x(x/3-2) when x=-3
where ever you see x put -3 there
4(-3)(-3/3-2)
-12(-1-2)
-12(-3)
negative x negative=positive
so the answer =36
I need to know what to fill in the boxes
The degree of the polynomial is even:
The leading coefficient is negative because the graph opens downwards
There are 4 distinct zeros: There are 4 points on the graph that cut the x axis
3 relative maximum values: There are three crests on the graph (points of ascension)
Write an addition expression to describe the situation. Then find the sum and select the correct answer below. A hiker starts at 200 ft. above sea level and then hikes up the mountain 1,500 more feet. When coming down the other side of the mountain, she descends 500 before taking a ten-minute break. How high above sea level is she during this ten-minute break?
A 1,700 ft. B1,000 ft. C1,200 ft. D1,190 ft.
Answer:
(200+1,500) - 500 = 1,200 ft
Step-by-step explanation:
the hiker started at 200 ft then went 1500 more feet. (add it up) Then, she descends (goes down) 500 feet. So let's subtract 500 feet from the sum of 200 and 1500. ( (200+1500 equals 1700, then subtract 500 which will be 1200.) ) So, she is 1200 feet above sea level during the 10 minute break.
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PLEASE HELP ME ASAP PLEASE!!! THANK YOU
You can transform ⨀A to ⨀A' by translating it and then performing a dilation centered at A'. Find the translation rule and the scale factor of the dilation
Simplify the scale factor and write it as a proper fraction, improper fraction, or whole number.
Translation: (x,y)↦ (____, ____)
Scale Factor: ____?
Answer: x=-10, y=-5 or -2/1. And it's dilated by 2. & i believe the scale factor is 2.
Step-by-step explanation:
What i did was simply count from the radius (the tiny dot in the center) up, and i counted 3, and did the same w/ the A' so I got 6, why makes me assume the scale factor is 2. then i did rise/run and i went 10 left and 5 down. So that makes -10,-5.
Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x 2 Find F{G[H(2)]}.
Answer:
27
Step-by-step explanation:
Evaluate from the inside out, that is
Evaluate h(2) , then use the value obtained to evaluate g(x) and the value obtained here to evaluate f(x) , that is
h(2) = 2² = 4 , then
g(4) = 3(4) + 2 = 12 + 2 = 14, then
f(14) = 2(14) - 1 = 28 - 1 = 27
WILL MAKE BRAINLIEST!! What will the coordinates of triangle are RST after it is translated four units right and three units up type your answer in as a coordinate pair X, Y for each point enter your answer and also provide a one sentence explanation that describes how are you determine your answer review the Rubik be slow to see how you will be evaluated?
The coordinates of triangle RST after it is translated four units right and three units up are (0, 5), (7, 8) and (0, -1)
How to determine the coordinates?From the figure, the coordinates of the triangle RST are:
R = (-4, 2)
S = (3, 5)
T = (-4, -4)
The rule of translation is given as:
Four units rightThree units upThis is represented as:
(x, y) = (x + 4, y + 3)
So, we have:
R' = (-4 + 4, 2 + 3) = (0, 5)
S' = (3 + 4, 5 + 3) = (7, 8)
T = (-4 + 4, -4 + 3) = (0, -1)
Hence, the coordinates of triangle RST after it is translated four units right and three units up are (0, 5), (7, 8) and (0, -1)
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Jacob's math teacher plots student grades on their weekly quizzes against the number of hours they say they study on the pair of coordinate axes and then draws the line of best fit. Based on the line of best fit, how much time should someone study to expect a quiz score of 98?
The number of hours someone should study to expect a quiz score of 98 using the equation x = (y - b) / m, where y = 98, m = the slope of the line of best fit, and b = the y-intercept.
What is number?Number is a mathematical concept used to count, measure and label. It is used to quantify, identify and label items in the world around us. Numbers are used in many aspects of life, from counting and measuring to identifying objects. Numbers are also used in mathematics to solve equations and find solutions to problems. Numbers are also used in computing, coding and programming to create algorithms.
To determine the amount of time someone should study to expect a quiz score of 98, we must first consider the line of best fit which was plotted by Jacob's math teacher. The line of best fit is the line which best describes the relationship between the number of hours studied and the quiz score. The equation for the line of best fit is y = mx + b, where m is the slope of the line, and b is the y-intercept.
Using this equation, we can calculate the number of hours someone should study to expect a quiz score of 98. We know that y = 98, so if we solve for x, we can determine the number of hours someone should study. To do this, we can rearrange the equation to solve for x: x = (y - b) / m.
Plugging in the values y = 98, m = the slope of the line of best fit, and b = the y-intercept, we can calculate that someone should study x = (98 - b) / m hours to expect a quiz score of 98.
In conclusion, the amount of time someone should study to expect a quiz score of 98 depends on the line of best fit which was plotted by Jacob's math teacher. We can calculate the number of hours someone should study to expect a quiz score of 98 using the equation x = (y - b) / m, where y = 98, m = the slope of the line of best fit, and b = the y-intercept.
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i need major help but y’all don’t help
Answer:
What is the question
Step-by-step explanation:
Elsa, Hans, and Charlie have a total of in their wallets. Hans has less than Elsa. Charlie has times what Hans has. How much do they have in their wallets?
Answer:
Elsa = x = $28
Hans = y = $26
Charlie = z = $56
Step-by-step explanation:
Elsa, Hans, and Charlie have a total of $106 in their wallets. Hans has $6 less than Elsa. Charlie has 2 times what Hans has. How much do they have in their wallets?
Let us represent.
The amount of money
Elsa = x
Hans = y
Charlie = z
Elsa, Hans, and Charlie have a total of $106 in their wallets.
= x + y + z = 106
Hans has $6 less than Elsa.
y = x - 6
Charlie has 2 times what Hans has.
z = 2x
Hence:
x + x - 6 + 2x = 106
4x - 6 = 106
4x = 106 + 6
4x = 112
x = 112/4
x = 28
Elsa = x = $28
Hans = y = $26
Charlie = z = $56
If bolt thread length is normally distributed, what is the probability that the thread length of a randomly selected bolt is in USE SALT Within 1.2 SDs of its mean value? (Round your answer to four decimal places.) (b) Farther than 1.5 SDs from its mean value? (Round your answer to four decimal places.) (c) Between 1 and 2 SDs from its mean value? (Round your answer to four decimal places.)
The probability of a bolt's thread length being within 1.2 SDs of its mean is 88.49%. The probability of it being farther than 1.5 SDs from its mean is 13.59%.
Here is the explanation :
(a) The probability that the thread length of a randomly selected bolt is within 1.2 SDs of its mean value is 0.8849.
(b) The probability that the thread length of a randomly selected bolt is farther than 1.5 SDs from its mean value is 0.1359.
(c) The probability that the thread length of a randomly selected bolt is between 1 and 2 SDs from its mean value is 0.1359.
Using a normal distribution table, we can determine the probability of a random variable being less than or equal to a specific value. For instance, the probability of being less than or equal to 1.2 is 0.8849, indicating an 88.49% likelihood.
By subtracting the probability of a random variable being less than or equal to a certain value from 1, we can find the probability of it being greater than or equal to that value. For instance, the probability of being greater than or equal to 1.5 is 0.0668, indicating a 6.68% likelihood.
By subtracting the probability of a random variable being less than or equal to the lower value from the probability of it being less than or equal to the higher value, we can determine the probability of it being between the two values. For instance, the probability of being between 1 and 2 is 0.1359, indicating a 13.59% likelihood.
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Which of the following statements is true?
a) Exactly one of these statements is false
b) Exactly two of these statements are false
c) Exactly three of these statements are false
d) Exactly four of these statements are false
None of the statements is true, as they all refer average to the false statement that exactly one, two, three, or four of the statements is false. This statement itself is false, and so none of the other statements can be true.
None of the statements is true because they all refer to the false statement that exactly one, two, three, or four of the statements is false. This statement itself is false, and so none of the other statements can be true. The statement that exactly one of the statements is false is false because it is referring to itself as the false statement, which means that it is not actually false. Similarly, the statement that exactly two of the statements are false is false because it is referring to itself as one of the two false statements, which means that it is not actually false. The statement that exactly three of the statements are false is also false because it is referring to itself as one of the three false statements, and the statement that exactly four of the statements are false is false because it is referring to itself as one of the four false statements. Therefore, none of the statements is true.
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Can somebody show me the work!
Answer:
(-1,4)
Step-by-step explanation:
First lets put the two equations into y=mx+b format by subtracting 2x and 4x to the right side of their equations.
y=-2x+2
y=-4x+0
Now you can put this into a system of equations, but you can also plug in the coordinates to see if both equations are equal. I will show system of equations solution.
-2x+2=-4x, solve this by adding -2x to the right side so that the 2 is by itself.
Now you have 2=-2x. Divide by -2 to get the x by itself, now you have x=-1. Plug this back into one of the equations, so y=-4x would be y=-4(-1), so y=4.
Answer:
-1,4
hope that helps you
n how many ways can 6 students be seated in a row of 6 chairs if jack insists on sitting in the first chair?
6 students can be seated in a row of 6 chairs in 121 ways.
Given,
Number of students = 6
Number of chairs = 6
We have to find the number of ways the students can be seated in a row.
Here,
Jack insists on sitting in the first chair.
So, 1 way of sitting for jack.
Next,
5 students and 5 chairs are there.
So they can sit in;
5! = 120 ways
Therefore,
Total number of way of sitting is 120 + 1 = 121 ways.
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You are the marketing manager for Coffee Junction. The revenue for the company is given by R(x)=− 32x 3+6x 2+18x+4 where R(x) is revenue in thousands of dollars and x is the amount spent each month on advertisement, in thousands of dollars. 0≤x≤25 a) At what level of advertising spending does diminishing returns start? Explain What this diminishing returns means for this company. b) How much revenue will the company earn at that level of advertising spending? c) What does 0≤x≤25 tell us with respect to this problem?
a) Diminishing returns start at x = 1, where the marginal revenue will be less than the marginal cost
b)At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.
c) 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.
a) At what level of advertising spending does diminishing returns start?
Diminishing returns refers to a situation when the marginal return on investment decreases as more resources are devoted to it. For instance, in case of Coffee Junction, increasing the advertising expenditure may lead to higher revenue, but the marginal revenue (revenue generated by each additional dollar spent) will gradually decrease.
b) How much revenue will the company earn at that level of advertising spending?
At x = 1, the company will earn R(1) = -32 + 6 + 18 + 4 = -4,000 dollars.
c) What does 0≤x≤25 tell us with respect to this problem?
In this problem, 0 ≤ x ≤ 25 implies that the Coffee Junction company has the capacity to spend a maximum of 25,000 dollars per month on advertisements.
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which statement about bar charts is true? group of answer choices bar charts are typically used to illustrate the pieces within a whole. bar charts cannot be used to compare amounts or quantities. bar charts are more versatile than pie charts and line charts. bar charts can be used to represent only a few types of data.
The statement "bar charts are more versatile than pie charts and line charts" is true.
The statement "bar charts are more versatile than pie charts and line charts" is true. Bar charts are versatile and can be used to compare data, show trends over time, and compare different categories or groups. They are especially useful for showing data with distinct categories, such as nominal data. In contrast, pie charts are limited in their use because they can only represent parts of a whole, while line charts are best suited for showing trends over time. Bar charts can be customized to display a wide range of information and are a valuable tool for communicating data effectively in a variety of contexts.
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35 POINTS
Find the range of this quadratic function
Answer:
The range of this quadratic function is
-infinity < y ≤ 2.
Determine if the two triangles are congruent. If they are, state how you know.
SAS, SSS, or not enough information.
refer to attachment
I WILL GIVE BRAINLIEST! PLS HELP!
Step-by-step explanation:
Figure 1Side - congruentAngle - congruentSide - common = congruentSAS postulateFigure 2Side - congruentSide - congruentSide - common = congruentSSS postulateFigure 3Two sides and the non-included angle are congruentNot enough informationFigure 4Side - congruentAngle - congruentSide - common = congruentSAS postulateFigure 5Two sides congruentNot enough informationFind an equation for the hyperbola with foci (0,±5) and with asymptotes y=± 3/4 x.
The equation for the hyperbola with foci (0,±5) and asymptotes y=± 3/4 x is:
y^2 / 25 - x^2 / a^2 = 1
where a is the distance from the center to a vertex and is related to the slope of the asymptotes by a = 5 / (3/4) = 20/3.
Thus, the equation for the hyperbola is:
y^2 / 25 - x^2 / (400/9) = 1
or
9y^2 - 400x^2 = 900
The center of the hyperbola is at the origin, since the foci have y-coordinates of ±5 and the asymptotes have y-intercepts of 0.
To graph the hyperbola, we can plot the foci at (0,±5) and draw the asymptotes y=± 3/4 x. Then, we can sketch the branches of the hyperbola by drawing a rectangle with sides of length 2a and centered at the origin. The vertices of the hyperbola will lie on the corners of this rectangle. Finally, we can sketch the hyperbola by drawing the two branches that pass through the vertices and are tangent to the asymptotes.
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