When revolved over the {x} axis will occupy more volume as compared to when revolved over the {y} axis.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.
Given is the volume occupied between the lines -
x = 4, y = x and x - axis.
Refer to the image attached. The reflection over the {x} axis will occupy more volume as compared to the reflection over the {y} axis. The figure generated in both the cases would be a cuboidal prism structure.
Therefore, when revolved over the {x} axis will occupy more volume as compared to when revolved over the {y} axis.
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89.0 mL of a liquid is massed in a graduated cylinder. The total mass is 437.2 g. The empty graduated cylinder has a mass of 277.0 g. What is the density of the liquid?
Molly gets an allowance of $25 per week. If she spends $3 each day Monday-Friday on lunch, and saves the rest, how much money will she have saved after 4 weeks?
Answer: she will save 40$
check picture for more info
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Explain what are the figure below are functions or not
Given the problem:
Explain what are the figure below functions or not
The left graph is not a function, the right table is a function. To see if a graph is a function, use the vertical line test. Simply draw vertical lines down the graph, or you don't have to if you can imagine it. None of the vertical lines can pass through any points twice. So in this case, look at (6, 4) and (6, 6). Draw a vertical line down at x=6. It fails the vertical line test because the vertical line passes through the two points.
Next, the table on the right. It is a function. To determine whether a table is a function or not, look at the x values. No x value can duplicate. In this case, all x values are different.
Hope this helped.
We have 81% of our team here today and we have 16 members so , how many members are missing today
2
3
4
12
13
Answer:
12.96
Step-by-step explanation:
13 members are missing today.
You can calculate this by subtracting the percentage of members present (81%) from 100% and then multiplying that number by the total number of team members (16).
100-81 = 19
19/100*16 = 3.04
16-3.04 = 12.96 = 13 (rounded)
Answer:
3 members MISSING
Step-by-step explanation:
0.81 x 16 = ~13
16 - 13 = 3 missing members
There is considerable evidence to support the theory that for some species there is a minimum population m such that the species will become extinct if the size of the population falls below m This condition can be incorporated into the logistic equation by introducing the factor
(1-(m/p)) Thus the modified logistic model is given by the differential equation
dP/dt = kP (1- (P/K)) (1-(m/P))
where k is a constant and k is the carrying capacity.
Suppose that the carrying capacity k = 10000 the minimum population m = 800 and the constant k = 0.05 Answer the following questions.
1. Assuming P >= 0 for what values of P is the population increasing.
Answer (in interval notation): (0,10000)
2. Assuming P >= 0 for what values of P is the population decreasing.
Answer (in interval notation):
For, the given differential equation, 1) For 800 < P < 10000, the population will increase and 2) For 0 < P < 800, the population will decrease.
dP/dt = kP (1- (P/K)) (1-(m/P)) -(1)
where k is a constant and K is the carrying capacity.
Here, K = 10000, m = 800 and k = 0.05
Putting these values in Equation 1 we get,
dP/dt = 0.05P (1- (P/10000)) (1-(800/P))
1.) If dP/dt > 0 then P is increasing
As dP/dt > 0
So, 0.05P (1- (P/10000)) (1-(800/P)) > 0
Both ((10000- P)/10000) > 0 and ((P-800)/P) > 0
=> P < 10000 and P > 800
So, for 800 < P < 10000, the population will increase.
2.) If dP/dt < 0 then P is decreasing
As dP/dt < 0
So, 0.05P (1- (P/10000)) (1-(800/P)) < 0
Both ((10000- P)/10000) > 0 and ((P-800)/P) > 0
=> P > 10000 and P < 800
So, for 0 < P < 800, the population will decrease.
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Find the limit. (Let s and t represent arbitrary real numbers. If an answer does not exist, enter DNE.) lim x→[infinity] x2 + sx − x2 + tx
Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider using it.
lim x→[infinity]
x + x2
1 − 4x2
Expert Ans
The limit of x + x2 divided by 1 - 4x2 as x approaches infinity is 0. To solve this limit, we can use l'Hospital's Rule.
The numerator and denominatorThis rule states that if the limit of a function as x approaches a certain point is 0/0, ∞/∞, or any other indeterminate form, we can take the derivatives of the numerator and denominator and then find the limit of the new fraction.In this case, the limit of the original fraction is 0/0.The derivatives of the numerator and denominator are x + 2x and -8x, respectively.The limit of x + 2x divided by -8x as x approaches infinity is -1/8. Therefore, the limit of x + x2 divided by 1 - 4x2 as x approaches infinity is -1/8.This is an indeterminate form of type 0/0, so l'Hôpital's Rule can be used to find the limit. Since the numerator and denominator both approach 0 as x goes to infinity, we can differentiate them and use the quotient rule to find a new function.The derivative of x + x2 is 1 + 2x, and the derivative of 1 − 4x2 is −8x. So, the new function is (1 + 2x) / (−8x). As x goes to infinity, the limit of this new function is −1/8. Therefore, the limit of the original function is also −1/8.
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Chrissy says her book is 12 inches long Jessie says that it is 1 foot long if both of them are correct why do their measurements seem different
12 inches is equal to one foot. 12 inches seems like more because 12>1, but they are really equal.
Use the graph below to answer all parts of question 4.
Find the slope of the line between points A and B.
M=
Find the slope of the line between points B and C.
(Do not reduce the fraction)
M=
Find the slope of the line between points A and C.
(Do not reduce the fraction.)
M=
Complete the statement.
The slopes I found are, (A)equivalet, (B)Improper, (C)negative fractions. This means that the slope triangles are, (A)congruent, (B)similar and no matter what, (A)four, (B)three, (C)two points I pick on the line the slope will be the (A)same, (B) different.
The slopes I found are (A) equivalent. This means that the slope triangles are (B) similar and no matter what (C) two points I pick on the line the slope will be the (A)same.
How to determine the slope of the line?
The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run.
Mathematically, the slope is the change in y divided by the change in x. That is:
Slope = y2-y1 / x2-x1
The slope of the line between points A and B:
A (x1 = -5, y1 = -2) and B (x2 = -2, y2 = 0)
Slope = [(0-(-2) )]/ [-2-(-5)] = 2/3
The slope of the line between points B and C:
B (x1 = -2, y1 = 0) and C (x2 = 4, y2 = 4)
Slope = [4-0]/ [4-(-2)] = 4/6 = 2/3
The slope of the line between points A and C:
A (x1 = -5, y1 = -2) and C (x2 = 4, y2 = 4)
Slope = [(4-(-2))]/ [4-(-5)] = 6/9 = 2/3
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Place an operation sign between two of the digits to make the equation true.
96 2 5 8 0 7 = 8,818
Operation sign between two of the digits is 96 ÷ 2 × 5 + 8 × 0 - 7 = 8,818
What is PEMDAS theory?This question uses the Order of Operations (PEMDAS) theory.
The order of operations states that we should work through equations in the following order: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
In this question, the first operation was division (96 ÷ 2), followed by multiplication (48 × 5), then addition (240 + 8), then multiplication (248 × 0), and finally subtraction (0 - 7).
Step 1: 96 ÷ 2 = 48
Step 2: 48 × 5 = 240
Step 3: 240 + 8 = 248
Step 4: 248 × 0 = 0
Step 5: 0 - 7 = -7
Step 6: -7 = 8,818
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Housing prices in a small town are normally distributed with a mean of $152,000 and a standard deviation of $8,000. Use the empirical rule to complete the following statement. Approximately 68% of housing prices are between a low price of $Ex: 5000 and a high price of $
Approximately 68% of housing prices are between a low price of $144,000 and a high price of $160,000.
The Empirical Rule, also known as the 68-95-99.7 rule, states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.
Given that the mean of housing prices is $152,000 and the standard deviation is $8,000, we can use the Empirical Rule to determine that approximately 68% of housing prices fall within one standard deviation of the mean. This means that the range of prices that contains 68% of the data is between:
$152,000 - $8,000 = $144,000 and $152,000 + $8,000 = $160,000.
So, approximately 68% of housing prices are between a low price of $144,000 and a high price of $160,000.
The weight of a sphere is proportional to the radius cubed. If a sphere of diameter 1 cm has a mass of 2 grams what diameter sphere has a mass of 54 grams?
Can someone help me please
Answer:
[tex]r=14\mathring{}[/tex]
Step-by-step explanation:
[tex](5r-5)\mathring{}+(8r+3)\mathring{}=180\mathring{}\\5r-5+8r+3=180\mathring{}\\13r-2=180\mathring{}\\13r=180\mathring{}+2\\13r=182\mathring{}\\r=\frac{182}{13} \\\\r=14\mathring{}[/tex]
A 10 kg ball moves at a speed of 15m/s. The ball collides with a wall causing it to rebound in the opposite direction at a speed of 23 m/s.
Calculate the impulse on the ball?
Answer:
The impulse on an object is equal to the change in momentum of the object. In this case, the ball's initial momentum is 10 kg * 15 m/s = 150 kg m/s. After the collision, the ball's final momentum is -10 kg * 23 m/s = -230 kg m/s.
The change in momentum of the ball is: -230 kg m/s - 150 kg m/s = -80 kg m/s.
So, the impulse on the ball is -80 kg m/s.
y > x - 3 a. Change the inequality into slope- intercept form, and then change it into an equation.
The slope of the inequality y > x - 3 is 1
What is the slope of an inequality?
The slope of a line is the ratio of the amount that y increases as x increases some amount
To change the inequality y > x - 3 into slope,
substract x from both sides of the inequality
y- x > x - 3-x
= y-x>-3
= y<-3+x
From the inequality y<-3+x the co-efficient of x is 1
Hence, The slope of the inequality is 1
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the length of a rectangle is 3 1/6 cm more longer than the width. the perimeter of the rectangle is 15 1/3 cm. what is the width and length of the rectangle?
The required width and length of the given rectangle is 25/12 cm and 63 / 12 cm.
What is a rectangle?The rectangle is 4 sided geometric shape whose opposites are equal in length and all angles are about 90°.
Here,
Length = 3 1/6 + width
perimeter of the rectangle = 2[length + width]
15 1/3 = 2 [3 1/6 + width + width]
46/3 × 1/2 = 19/6 + 2 width
23 / 3 - 19 / 6 = 2 width
[46 - 19]/ 12 = width
width = 25/12 cm
Now,
Length = 25/12 + 19/6
Length = 63 / 12 cm
Thus, the required width and length of the given rectangle is 25/12 cm and 63 / 12 cm.
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Solve for x.
Select the correct response:
19.25
6.5
10
14
Check the picture below.
Question 1 Use PORS to find m
The measure of ∠R of the given parallelogram is 52°.
What is a parallelogram?
A parallelogram is a simple quadrilateral with two sets of parallel sides. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of a similar measure.
Some of the properties of a parallelogram are,
A pair of parallel and opposite sides are equal in lengthThe opposite angles are equal in measureThe sum of adjacent angles is 180°Given,
Length of PS = 3
Length of RS = 5
∠Q = 128°
Since it is a parallelogram,
PS = QR = 3 and RS = QP = 5
∠Q + ∠R = 180
m∠R = 180 - ∠Q = 180-128 = 52°
Therefore the measure of ∠R of the given parallelogram is 52°.
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help video
In the diagram below of triangle KLM, N is the midpoint of KM and O is the
midpoint of LM. Ifm/MKL = 61 + 9x, and m/MNO = 2x + 75, what is
the measure of ZMNO?
M
L
O
M
The measure of the angle MNO is 79 degrees
How to determine the measure of the angleThe midpoint of KM and O is also the midpoint of LM as expressed in the information given.
We have the parameters;
m/MKL = 61 + 9xm/MNO = 2x + 75Note that the midpoint of the triangle is expressed as;
m/MKL = m/MNO
Now, substitute the values, we get;
61 + 9x = 2x + 75
collect like terms
9x - 2x = 75 - 61
add or subtract the like terms
7x = 14
Now, divide both sides by the coefficient of x, we get;
7x/7 = 14/7
Divide the values
x = 2
Substitute the value into the expression
m/MNO = 2x + 75
m/MNO = 2(2) + 75
expand the bracket
m/MNO = 79
Hence, the value is 79
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Write the algebraic expression as a phrase. $-2z+8$
Answer: Negative two times z plus eight.
Step-by-step explanation:
The expression $-2z + 8$ represents "negative two times the quantity of z plus 8". To interpret this as a phrase, we can say "8 increased by the negative of two times the quantity of z."
Your dinner in tokyo cost 10,000 Japanese yen. how much was it in u.s dollars?
ANSWER SHOULD BE ROUND TO TWO DECIMAL
Answer:
~$76.99
Step-by-step explanation:
Right now, ~¥129.89 is equivalent to $1. Your dinner costs ¥10,000. To solve, divide the total cost of your dinner with the equivalent yen price compared to the dollar:
(¥10,000)/(¥129.89) = ~76.99 (rounded to the nearest cent).
~$76.99 would be your answer.
~
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When two functions have different rates of change, and different initial values, the function with the greater rate of change will have the greater output value for every input value.
The function with the greater rate of change will have the greater output value for every input value which is true.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
Let m₁ > m₂ and c₁ > c₂. Then the equations are given as,
y = m₁x + c₁
y = m₂x + c₂
The function with the greater rate of change will have the greater output value for every input value which is true.
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A company wants to estimate the mean time it will take workers to complete a certain task. They record the times to complete the task for a random sample of 30 workers. Match the following: ____ mean time to complete a certain task for 30 workers from this company ____ all workers from this company ____ a worker from this company ____ mean time to complete a certain task for all workers from this company ____ 30 workers from this company
____ time to complete a certain task
a. sample
b. parameter
c. individual
d. variable
e. statistic
f. population
1. Mean time to complete a specific task for 30 workers from this company refers to A: sample.
2. All employees from this company are known as F: population
3. A employee from this company is called an C: individual
4. Mean time to complete a specific task for all workers from this company is said to be as B: parameter.
5. 30 employees from this company make E: statistic
6. Time to complete a specific task is called a D: variable
Brief Explaination of each Answer is Given Below:
"Sample" refers to a subset of a larger population that is selected for study. In this case, the "sample" is the 30 workers from the company whose times to complete the task have been recorded.
"Population" refers to the entire set of units or items under study. In this case, the "population" is all workers from the company.
"Individual" refers to a single unit or item in a set. In this case, an "individual" is a single worker from the company.
"Parameter" refers to a characteristic or value that describes a population. In this case, the "parameter" is the mean time it will take all workers from the company to complete the task.
"Statistic" refers to a value that describes a sample. In this case, the "mean time to complete a certain task for 30 workers from this company" is a statistic.
"Variable" refers to a value that can change within a set. In this case, "time to complete a certain task" is the variable of interest.
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Paul's Pizza sells pizza by the slice for lunch. An employee recorded how many slices of each type of pizza were sold today. pepperoni 44 cheese 15 supreme 29 Considering this data, how many of the first 76 slices sold during lunch tomorrow should you expect to be slices of pepperoni pizza?
Answer:
To find out how many of the first 76 slices sold during lunch tomorrow should be pepperoni pizza, we can use the information provided about the proportion of pepperoni pizza slices sold today. We can use the following formula to calculate the expected proportion:
(number of pepperoni slices / total number of slices) * 100
Plugging in the numbers we have:
(44 / (44 + 15 + 29)) * 100 = 44 / 88 * 100 = 50%.
So we can expect 50% of the first 76 slices sold during lunch tomorrow to be pepperoni pizza slices, which is equivalent to:
76 slices * 50% = 38 slices
Therefore, we expect 38 of the first 76 slices sold during lunch tomorrow should be slices of pepperoni pizza.
Step-by-step explanation:
The perimeter of a rectangular pool is 368m. If the width of the pool is 86m, what is the length
The length of the rectangular pool is 98 m.
What is Area of Rectangle?The area of Rectangle is length times of width.
Given that the perimeter of a rectangular pool is 368m.
The width of the pool is 86m
We need to find the length of the pool.
Perimeter of rectangle=2(Length+width)
368=2(Length+86)
368=2Length+172
368-172=2length
196=2length
Divide both sides by 2
98=length
Hence, the length of the rectangular pool is 98 m.
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The angles of a triangle haves measures of 90°, 65°, and (x-10)°. What is the value of x?
We know that the sum of angles of a triangle are 180°
If you don't know how to find the angles of a triangle
We use the formula,
[tex](n-2)X180[/tex]
Where n replicates the sides of a polygon
Applying the sides into the formula we get
[tex](3-2)X180\\1X180\\180[/tex]
Now in order to find x we sum up all the angles into a equation
90°+ 65°+ x - 10° = 180°
145 + x = 180
We then transpose 145 to the Right Hand Side (RHS)
x = 180 - 145
x = 35°
Hence , the value of x is 35°
During the construction of a recent office building, your
company's framing crew installed 515 lineal feet of 8-foot-
high, metal-stud wall in two days. The crew consisted of two
carpenters and one helper and worked eight hours per day.
Determine productivity rate in
labor hours per foot of wall for installing metal-stud walls on
this project
Edit View Insert Format Tools Table
The productivity rate in labor hours per foot for carpenter is 0.062 hour / feet.
What are fractions?In mathematics, a fraction is referred to as a portion of a whole. For instance, if a pizza is cut into four equal pieces, each one is represented by a quarter. Fractions make calculations quicker and easier by making it easier to distribute and judge numbers. The depiction of fractions appears easier than when decimal values are used.
For carpenter, the total hours contributed are:
(2)(8) = 16 hours
No of das worked by carpenter are 2 days.
The total hours contributed by 2 carpenters are:
16 (2) = 32 hours
The production rate of carpenter is = hours / total work
= 32/ 515 = 0.062 hour / feet.
Hence, the productivity rate in labor hours per foot for carpenter is 0.062 hour / feet.
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Write a two-column proof.
The two column proof that shows congruency of ΔACD ≅ ΔBDC is as detailed below.
How to write a two column proof?A two-column proof is defined as a geometric proof that consists of a list of statements, and the reasons that we know those statements are true.
We want to prove that ΔACD ≅ ΔBDC
Statement 1: AD ⊥ DC, BC ⊥ DC, ∠DAC ≅ ∠CBD, AD ≅ BC, BD ≅ AC
Reason: Given
Statement 2: BC ≅ BC
Reason 2: Reflexive Property of Congruence
Statement 3: ∠DAC ≅ ∠DBC
Reason 3: Corresponding Angles
Statement 4: ∠ACD ≅ ∠BDC
Reason 4: Corresponding Angles
Statement 5: ΔACD ≅ ΔBDC
Reason 5: CPCTC( Corresponding Parts of Congruent Triangles are Congruent.)
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Given the following diagram and the fact that HJK=138 find the m LJK
Answer:
<LJK = 69 degrees
Step-by-step explanation:
Triangle HKL and LJK are congruent, therefore their angles will be as well. Divide HJK by 2; 138 / 2 = 69
find the least positive integer N such that the set of 1000 consecutive integers beginning with 1000 N
The least positive integer N such that the set of 1000 consecutive integers beginning with 1000 N is 282.
Let x² appear before 1000N so:
(x+1)² − x² >1000⟹ x ≥ 500
Let A = [1000N, 1000(N+1)]
So I let x=500
then, x²=250000
, obviously this is impossible since the set has a square already.
So now I need to set some number, k² ≥ 5012 = 0 (mod1000)
So I need to solve the quadratic residue:
Lets see: 500²=250000
and 501²=251001
and 502²=252004
501²=500²+1000+ ∑ (12k−1)
502²=500²+2(1000)+∑ (12k−1)
The final answer is: N=282
All whole numbers and negative numbers are considered integers. This means that if we combine negative numbers with whole numbers, a collection of integers results.
An integer, which can comprise both positive and negative integers, including zero, is a number without a decimal or fractional portion. Integers include things like -5, 0, 1, 5, 8, 97, and 3,043.
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.
please help me will give u extra points :)
•
Answer: -8<x> 2
Step-by-step explanation:
open circles indicate that the number shown is not included therefore x must lie in-between -8 and 2
