Use the rules of measurement to divide
Answer:
\( \frac{ {m}^3{} }{25} \)
Step-by-step explanation:
that is the answer
Write your answer in interval notation.
3x + 4 < - 17 OR 2x + 2 > - 4
Answer:
x < 3 or x ≥ 11
Step-by-step explanation:
(-∞, 3) or [11, ∞)
Step-by-step explanation:
subtract 4 from each side
2x < 6 . or . 3x ≥ 33
x < 3 or x ≥ 11
make sure you have an OPEN DOT at 3 pointing to negative infinity and a CLOSED DOT at 11 pointing to positive infinity.
5. Terry descends 110 feet in 10 minutes inside a cave. What is Terry's change
in position before descending?
Answer:
The correct option would be D: -110 feet / 10 minutes
Humphrey measured the height of his fence at 6 feet 7 inches. How many inches tall is Humphrey's fence?
6 feet 7 inches
1 feet = 12 inches
6 feet = 6(12) = 72 inches
6 feet 7 inches = 72 + 7 = 79 inches
Answer:
79 inches
Prove (BC) by contradiction. Include line numbers and rules for each statement. Please submit your answer to open-ended questions on the rest as a PDF to Gradescope at this link. Given: 1 AVC 2D→A 3-(BA-D)
From line 11, we have derived A, which contradicts the assumption in line 3 (-(BA - D)). Therefore, our assumption for contradiction must be false.
How is this so?To prove (BC) by contradiction, we assume the negation of the statement and aim to reach a contradiction. Here's the step-by-step proof -
AVCD → A-(BA - D) (Assumption for contradiction)BA - D(Negation of -(BA - D) from line 3)BA (Simplification from line 4)-(D → A) (Negation of line 2)-D ∨ -A (Material implication from line 6)--A ∨ -D(Double negation from line 7)A ∨ -D (Double negation from line 8)D ∨ A (Commutation from line 9)A (Disjunction elimination from lines 10 and 5)From line 11, we have derived A, which contradicts the assumption in line 3 (-(BA - D)). Therefore, our assumption for contradiction must be false.
Thus, we can conclude that (BC) holds based on the given premises.
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a circle has a circumfrence of 28.26units what is the diameter
Answer:
14.13 is your diameter..
Step-by-step explanation:
Hope this helps u.. ;)
The parties to a sales contract have stipulated that a specific sum be paid by any party breaching said contract, this sum is called?
This type of sum is Liquidated damages.
What is Liquidated damages?Liquidated damages are presented in certain legal contracts as an estimate of otherwise intangible or hard-to-define losses to one of the parties.
As per the given situation we have
parties to a sales contract have stipulated that a specific sum be paid by any party
Liquidated damages occur in such a situation.
The amount of damages that the parties estimate and agree upon at the time of the contract for a breach of the agreement by either party is referred to as liquidated damages.
Regardless of the actual cost of any potential damages due to the breach of the contract, this amount becomes due immediately.
According to Section 74 of the Indian Contract Act, 1972, if parties agree a sum to be paid as damages or a penalty to be imposed for a breach, the harmed party is only entitled to that sum or penalty and no other higher or lesser sum.
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A stack of 30 science flashcards includes a review card for each of the following: 10 insects, 8 trees, 8 flowers, and 4 birds.
What is the probability of randomly selecting an insect?
Express the probability as a reduced fraction
Answer:
1/3
Step-by-step explanation:
\(|\Omega|=30\\|A|=10\\\\P(A)=\dfrac{10}{30}=\dfrac{1}{3}\)
there are n items and a backpack that can hold max weight of w. is there a way to choose some of these n items to make the total weight exactly equal to w?
Yes, it is possible.
To determine if there is a way to choose some of the n items to make the total weight exactly equal to w, you can use the following step-by-step approach:
1. List the weights of each of the n items.
2. Create a table with columns representing the weights from 0 to w, and rows representing the items from 0 to n.
3. Initialize the first row (representing item 0) with "True" for weight 0 and "False" for all other weights.
4. Loop through each item (i) from 1 to n:
a. Loop through each possible weight (j) from 0 to w:
i. If the item's weight is less than or equal to the current weight (j), check if the remaining weight (j minus the item's weight) can be obtained using the previous items (row i-1). If yes, mark the current cell as "True".
ii. If the current item's weight is greater than the current weight (j) or the remaining weight can't be obtained using the previous items, copy the value from the cell above (row i-1) in the table.
5. Check the last cell in the table (cell [n][w]). If it is marked "True", it is possible to choose some of the n items to make the total weight exactly equal to w. If it's "False", it's not possible.
This approach uses dynamic programming to efficiently solve the problem. If the last cell in the table is "True", you can backtrack through the table to find the exact items that contribute to the total weight of w.
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A cat spends 2/3 of its life asleep. If a cat lives to be 15 years old, how many years di it spend asleep?
Answer:
10 years
Step-by-step explanation:
You start by writing an equation:
(2/3) * (15) = x
x being how many years it has been asleep.
Then multiply the two numbers together:
x = 10
Answer:
10 years
Step-by-step explanation:
Divide the cats life by the denominator to find how much it sleeps for 1/3 of its life.
15 3 = 5 years
Multiply 5 by the numerator to find how much it sleeps for 2/3 of its life.
5 * 2 = 10 years
Best of Luck!
What is the distance between points P (-3, 5) and S (6, 9) ?
A line is given by the equation y=52. What is the equation of the perpendicular line that passes through the point (-29,44)? The equation of the line is given by x=
Answer:
x= -29
Step-by-step explanation:
You have the point (-29, 44). The x coordinate is -29, which means your equation is x=-29. You can check your answer by graphing x= -29, y=52, and (-29, 44) on desmos.
approximate the definite integral using the trapezoidal rule and simpson's rule. compare these results with the approximation of the integral using a graphing utility. (round your answers to four decimal places.) 3 1 ln(x) dx, n=4
Trapezoidal Simpson's Graphing Utility
From the graphing utility, we get the value of the integral as, Integral = 0.7206 Comparing the values of the integrals obtained from Trapezoidal rule, Simpson's rule and graphing utility, we find that the integral value obtained from the graphing utility is closest to the Simpson's rule.
We are given the definite integral ∫31ln(x)dx and we are required to approximate the integral using the trapezoidal rule and Simpson's rule. Also, we are supposed to compare these results with the approximation of the integral using a graphing utility using n=4.Trapezoidal Rule. The trapezoidal rule for numerical integration is a method to approximate the definite integral using linear interpolation.
This rule approximates the definite integral by dividing the total area into trapezoids. The formula for trapezoidal rule is given by:(Image attached)Here, a = 3 and b = 1The value of h can be calculated as follows;h=(b−a)/nh=(3−1)/4=0.5We need to calculate the values of f(1), f(1.5), f(2), f(2.5), f(3) using n = 4(Image attached)The value of integral using the trapezoidal rule is,Integral = 0.7201.
Simpson's rule is used to approximate the value of definite integral. Simpson's rule involves approximating the integral under the curve using the parabolic shape. This is done by dividing the area under the curve into small sections and then approximating each section with a parabolic shape. The formula for Simpson's rule is given as:(Image attached)Here, a = 3 and b = 1
The value of h can be calculated as follows;h=(b−a)/nh=(3−1)/4=0.5We need to calculate the values of f(1), f(1.5), f(2), f(2.5), f(3) using n = 4(Image attached)The value of integral using the Simpson's rule is,Integral = 0.7200Comparing with Graphing UtilityIntegral = 0.7201 (from Trapezoidal rule)Integral = 0.7200 (from Simpson's rule).
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Rewrite (5)/(6)x+2=(7)/(8) so that is doesn't have any fractions. Don't use decimals in the answer.
The equation (5)/(6)x+2=(7)/(8) when rewritten without fraction has a representation of 40x + 96 = 42
Rewriting the equation without fractionGiven that we have the following
(5)/(6)x+2=(7)/(8)
When the brackets are removed, we have the following equation
5/6x + 2 = 7/8
Multiplying through the equation by 6
So, we have
6 * (5/6x + 2 = 7/8)
When the products are evaluated, we have
5x + 12 = 6 * 7/8
Multiplying through the equation by 8
So, we have
8 * (5x + 12 = 6 * 7/8)
When the products are evaluated, we have
40x + 96 = 42
Hence, the solution is 40x + 96 = 42
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a. Write a formula for the number of seconds in any number of minutes , using :
i) words ii) letters .
b. Use your formula from part a to work out the number of seconds in 30 minutes .
s=m×60
Step-by-step explanation:
where s is the seconds,and m is the minutes
for part b,lets use my formular...
s=m×60=s=30×60=1800,therefore,there are 1800 seconds in 30 minutes.pls mark brainliest.
Amanda is building a soft triangular kennel for her dog. she has four wooden planks of lengths 2 feet, 3 feet, 5 feet, and 6 feet. determine which planks amanda should use to build the triangular-shaped kennel. enter the lengths from least to greatest. a triangular kennel made of carpet-covered planks
Amanda would use 3 planks of lengths 3 feet, 5 feet, and 6 feet.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental shape in geometry. Triangle ABC denotes a triangle with vertices A, B, and C. In Euclidean geometry, any three non-collinear points define a unique triangle and, by extension, a unique plane.To determine which planks Amanda should use to build the triangular-shaped kennel:
To build a kennel for dog, we would try to make it the largest possible with what we have.So, we would go with the 3 longest planks: 3ft, 5ft, and 6ft.By looking at the length, we see that we could make something very close to a right triangle since we could use the 6ft as a hypotenuse, and have the two other sides as 3ft and 5 ft (6² is almost 3²+5², which equals 34).That means our corner angle would be slightly over 90 degrees.Therefore, Amanda would use 3 planks of lengths 3 feet, 5 feet, and 6 feet.
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Assume that no variable equals 0
1. c^12•c^-4•c^6
2. b^8/b^2
3. (a^4)^5
4. x^-2y/x^4y^-1
5. (a^2b/a^-3b^2)^-1
6. (x^2y/xy^3)^2
7. 1/2(-5a^2b^3)^2(abc)^2
8. m^7•m^8
9. 8m^3n^2/4mn^3
10. 2^3c^4t^2/2^2c^4t^2
help me please !
Step-by-step explanation:
When you multiply exponents of the same base (variable), add the exponents.
1. The exponents are 12 - 4 + 6 = 14 or c^14
When you divide exponents of the same base, subtract them.
2. 8 - 2 = 6 or c^6
When you raise a power to a power, you multiply the exponents.
3. 4 * 5 = 20 or c^20
When a number is raised to a negative exponent it can be re written like this x^-n = 1/x^n.
4. x^-2 * y / x^4 * y^-1; using the above information, rewrite everything to have positive exponents. If the negative exponent is in the denominator, then it becomes x^n/1
y * y / x^2 * x^4 ; then just add your exponents to simplify
y^2 / x^6
As we said before, a power raised to a power is exponent x exponent.
5. (a^2 * b) ^-1 / (a^-3 * b^2)^-1 ; as before a power raised to a power, multiply the powers.
a^-2 * b-1 / a^3 * b^-2 rewrite this as before, inverting negative exponents. a^3 / a^2 * b^1 * b^2 = a^3 / a^2 * b^3
Simolifynthe new expression to reduce the a variable by subtracting the bottom a^2 from the top a^3 and are left with
a / b^3
Work number 6 like 5, no negative exponents, so there won't be any inversions. Just multiply the outside power times every exponent, then do the division by subtracting exponents of like bases.
When figuring out the problems with constants, treat them like the variables. In number 7 the 5a^2 when raised to the 2nd power would be 5^2*(a^2)^2 = 25 a^4
Im sorry, out of time.
a study was conducted to see if exposure to asbestos is associated with lung cancer. the study was conducted on 100 individuals with lung cancer and 100 individuals without lung cancer (control group). the researchers looked back in time to document which individuals were exposed to asbestos. then they determined if significantly more individuals in the lung cancer group were exposed to asbestos than the control group. what type of study does this describe?
Case-control study
This type of study is referred to as a case-control study. In such studies, people with a particular disease or condition (cases) are compared to people without that disease or condition (controls) to see if the condition is linked to a particular exposure or risk factor.What is a case-control study?A case-control study is a research method in epidemiology, which is the study of illness patterns in populations. This research investigates whether a suspected risk factor is linked to an outcome or disease. This approach involves identifying people who have the disease (cases) and people who do not (controls).The individuals are then assessed to see whether they have been exposed to a particular risk factor or not, and the odds of developing the disease in the exposed group are compared to the odds of developing the disease in the non-exposed group. Therefore, the type of study described above is referred to as a case-control study.
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Please answer A,B,C &D. Question is in the pic.
Answer:
A. same point.
b. in center
c. triangle centroid
d. single point
PLEASE HELP ME IM STRUGGLING AHHH
The total cost after tax to repair Deborah’s computer is represented by 0.08(73h) + 73h, where h represents the number of hours it takes to repair Deborah’s computer. What part of the expression represents the amount of dollars Deborah has to pay in tax? Explain.
Answer:
0.073(73h)
Step-by-step explanation:
\(0.08(73h)+73h\)
\(=\dfrac{73}{100}(73h)+73h\)
\(=73\%(73h)+73h\)
Since, it took 50h to repair the computer so, 0.073(73h) represents the amount of tax Deborah has to pay. Which is 73% of 73h.
Solve forx: (x – 3)/ 3 =4
Answer:
x = 15
Step-by-step explanation:
=> x - 3 = 12
=> x = 15
Answer:
your answer is 9/4 check google
Step-by-step explanation:
Write an example for binomial of degree 999.
Answer:
x⁹⁹⁹ + 1
Step-by-step explanation:
a binomial is a polynomial that is the sum of two terms
x⁹⁹⁹ + 1
A shed is 4.0 m long and 2.0m wide. A concrete path of constant width is laid all the
way around the shed. If the area of the path is 9.50m? Calculate its width.
The width of the concrete path is 0.65 m.
What is the width of the path?
The width of the concrete path is calculated as follows;
let the width of the concrete path = x
The dimensions of the shed with the path around it is determined as;
2x + 4 by 2x + 2
The equation for the area of this path becomes;
(2x + 4)(2x + 2) - (4 x 2) = 9.5
4x² + 4x + 8x + 8 - 8 = 9.5
4x² + 12x = 9.5
4x² + 12x - 9.5 = 0
solve the quadratic equation using formula method;
a = 4, b = 12, and c = -9.5.
The solution becomes, x = 0.65 m or - 3.65
We will take the positive dimension, x = 0.65 m
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Solve for the given time.
A colony of 36,000 bacteria grows continuously at a rate of 12%. How many bacteria will there be in 2 years?
Answer:
45158
Step-by-step explanation:
Since the colony grows at a rate of 12%, after 2 years there will be \(36000\cdot 1.12^2 = 45158.4\) bacteria. Since you probably can't have part of a bacteria, you round to 45158.
Answer:
45158
Step-by-step explanation:
Since the colony grows at a rate of 12°/• , after 2 years there will be 36000.
1.12 power of 2 = 45158.4 bacteria.
And you cant have part of a bacteria
you round it to
45158.
Where is the shading in the graph of the quadratic inequality y > -22 + 6x + 3? Why?
Answer:
Check Graph below
Step-by-step explanation:
y > -22 + 6x + 3
Add -22 and 3.
y > 6x - 19
Use the slope-intercept form to find the slope and y-intercept.
Slope: 6
y-intercept: (0,-19)
Graph a dashed line, then shade the area above the boundary line since y is greater than 6x − 19 .
y > 6x - 19
I hope this helps
if you could, feel free to mark me Brainliest it would be much appreciated :D
a young person with no initial capital invests dollars per year in a retirement account at an annual rate of return . assume that investments are made continuously and that the return is compounded continuously. a) write a differential equation which models the rate of the change of the sum with in years (this will involve the parameter ). note: use rather than since the latter confuses the computer. b) use part a) to determine a formula for the sum -- (this will involve the parameter ): c) what value of will provide dollars in years?
For example, to achieve a sum of $100,000 in 10 years with an initial investment of $10,000, the annual rate of return r required would be:
r =\((1/10) ln(100,000/10,000) = 0.069.\)
a) The differential equation which models the rate of change of the sum with respect to time (t) is given by:
dS/dt = rS
where S is the sum and r is the annual rate of return.
b) The formula for the sum can be obtained by solving the differential equation:
S = S0ert
where S0 is the initial investment.
c) To determine the value of r which will provide the desired sum in a given amount of time, we can rearrange the equation above to give:
\(r = (1/t) ln(S/S0)\)
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Tara has already run 7 miles on her own, and she expects to run 1 mile during each track
practice. How many track practices would it take for Tara to run 23 miles?
Explain please
Answer:
15 track practices
Step-by-step explanation:
because 23 minus the 7 she already ran is 15 which she runs 1 each practice
Answer:
16
Step-by-step explanation:
because if you minus 7 from 23 you get 16 so she would have to have 16 practices
solve for x Express your answer as an integers or in simplest radical form 1-x^3=9
Answer:
\(\large\boxed{\tt x = 2}\)
Step-by-step explanation:
\(\textsf{We are asked to solve for x in the given equation.}\)
\(\textsf{We should know that x is cubed, meaning that it's multiplied by itself 3 times.}\)
\(\textsf{We should isolate x on the left side of the equation, then find x by cubic rooting}\)
\(\textsf{both sides of the equation.}\)
\(\large\underline{\textsf{How is this possible?}}\)
\(\textsf{To isolate variables, we use Properties of Equality to prove that expressions}\)
\(\textsf{are still equal once a constant has changed both sides of the equation. A Cubic}\)
\(\textsf{Root is exactly like a square root, but it's square rooting the term twice instead}\)
\(\textsf{of once.}\)
\(\large\underline{\textsf{For our problem;}}\)
\(\textsf{We should use the Subtraction Property of Equality to isolate x, then cubic root}\)
\(\textsf{both sides of the equation.}\)
\(\large\underline{\textsf{Solving;}}\)
\(\textsf{Subtract 1 from both sides of the equation keeping in mind the Subtraction}\)
\(\textsf{Property of Equality;}/tex]
\(\tt \not{1} - \not{1} - x^{3} = 9 - 1\)
\(\tt - x^{3} = 8\)
\(\textsf{Because x}^{3} \ \textsf{is negative, we should exponentiate both sides of the equation by}\)
\(\textsf{the reciprocal of 3, which is} \ \tt \frac{1}{3} .\)
\(\tt (- x^{3})^{\frac{1}{3}} = 8^{\frac{1}{3}}\)
\(\underline{\textsf{Evaluate;}}\)
\(\tt (- x^{3})^{\frac{1}{3}} \rightarrow -x^{3 \times \frac{1}{3} } \rightarrow \boxed{\tt -x}\)
\(\textsf{*Note;}\)
\(\boxed{\tt A^{\frac{1}{C}} = \sqrt[\tt C]{\tt A}}\)
\(\tt 8^{\frac{1}{3}} \rightarrow \sqrt[3]{8} \rightarrow 2^{1} \rightarrow \boxed{\tt 2}\)
\(\underline{\textsf{We should have;}}\)
\(\tt -x=2\)
\(\textsf{Use the Division Property of Equality to divide each side of the equation by -1;}\)
\(\large\boxed{\tt x = 2}\)
A student walked 100 meters north, then 100 meters west. How many more meters did the student walk compared to their total displacement from their starting point?.
Using Pythagorean theorem, the student walked 53.58 meters more compared to the total displacement from the starting point.
If a student walks 100 meters north, then 100 meters west, then the path he travels resembles the sides of a right triangle (see attached photo).
Using Pythagorean theorem, we can solve for the total displacement from the starting point to the end point.
c^2 = a^2 + b^2
where c is the total displacement from the starting point to the end point
a is the distance he walks up north
b is the distance he walks to the west
c^2 = 100^2 + 100^2
c^2 = 10,000 + 10,000
c^2 = 20,000
c = 141.42 meters
Comparing the total distance the student walked and the total displacement from the starting point to the end point by subtraction.
100 meters + 100 meters - 141.42 meters = 53.58 meters
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If f(x)=7x+3 ,what is f^-1(x)?
Answer:
\(\displaystyle{f^{-1}(x)=\dfrac{x}{7}-\dfrac{3}{7}}\)
Step-by-step explanation:
Swap f(x) and x position of the function, thus:
\(\displaystyle{x=7f(x)+3}\)
Then solve for f(x), subtract 3 both sides and then divide both by 7:
\(\displaystyle{x-3=7f(x)}\\\\\displaystyle{\dfrac{x}{7}-\dfrac{3}{7}=f(x)}\)
Since the function has been inverted, therefore:
\(\displaystyle{f^{-1}(x)=\dfrac{x}{7}-\dfrac{3}{7}}\)
And we can prove the answer by substituting x = 1 in f(x) which results in:
\(\displaystyle{f(1)=7(1)+3 = 10}\)
The output is 10, now invert the process by substituting x = 10 in \(f^{-1}(x)\):
\(\displaystyle{f^{-1}(10)=\dfrac{10}{7}-\dfrac{3}{7}}\\\\\displaystyle{f^{-1}(10)=\dfrac{7}{7}=1}\)
The input is 1. Hence, the solution is true.