Answer:D
Step-by-step explanation:
Answer:B (8)
Step-by-step explanation:
OVER 50 means anything higher than 50, NOT OLDER THAN 70 means anything that's 70 or lower. So we have a range of 51-70. Now, when we look at the diagram, we can tell that there are 4 people who are 51-60 years old which fits to the range we are looking for. Same with the 4 people in the 61-70 range.
Which expression best estimates 6 3/4 ÷ 1 2/3
7 ÷ 2
6 ÷ 1
8 ÷ 3
3 ÷ 2
Answer:
7 divided by 2
Step-by-step explanation:
I say 7 divided by 2 because if you round 6 3/4 up one you will get 7 and if you round 1 2/3 up one you get 2 so 7 divided by 2 makes most sense
The SUBSET SUM problem asks to decide whether a finite set S of positive integers has a subset T such that the elements of T sum to a positive integer t. (a) Is (S,t) a yes-instance when the set S is given by S={2,3,5,7,8} and t=19 ? Prove your result. (b) Why is a brute force algorithm not feasible for larger sets S (c) Explain in your own words why the dynamic programming solution to SUBSET SUM given in https://www . cs. dartmouth . edu/ deepc/Courses/S19/lecs/lec6.pdf is not a polynomial time algorithm.
(a) To determine if (S,t) is a yes-instance for S={2,3,5,7,8} and t=19, we need to check if there exists a subset of S whose elements sum to 19. In this case, we can choose the subset T={2,7,10} where the elements sum to 19. Thus, (S,t) is a yes-instance.
(b) A brute force algorithm for the SUBSET SUM problem involves checking all possible subsets of S and calculating their sums to see if any sum equals t. However, the number of possible subsets grows exponentially with the size of S, making the algorithm impractical for larger sets. For example, if S has n elements, the number of subsets is 2^n, which becomes computationally infeasible for large values of n.
(c) The dynamic programming solution presented in the provided link is not a polynomial time algorithm because it still has to consider all possible subsets of S. Although it improves the efficiency by using memoization to avoid redundant calculations, the algorithm's time complexity is still exponential in the worst case. It explores all possible combinations of elements in S to determine if there exists a subset sum equal to t, resulting in a runtime that grows exponentially with the size of S. Thus, it cannot be classified as a polynomial time algorithm.
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A drone is flying at
a
height of 200 ft and is going to
land in your backyard. If it descends
going to
to landing at an angle of depression of 5°, how far
away from
your backyard should it start descending?
The drone should start descending 17.5 ft away from the backyard.
Given that a drone is flying at a height of 200 ft and is going to land in your backyard. If it descends going to landing at an angle of depression of 5°, we need to find how far away from your backyard should it start descending?
Let the horizontal distance between the starting point and the backyard be x ft. A drone is flying at a height of 200 ft and is going to land in your backyard.
Let B be the backyard and C be the point where the drone starts descending. If angle ABD = 5° and AB = 200 ft, then by trigonometry, tan 5° = BD / AB
We can write BD = AB × tan 5°
Therefore, BD = 200 × tan 5°BD = 200 × 0.0875BD = 17.5 ft
Therefore, the horizontal distance between the starting point and the backyard should be 17.5 ft. Hence, the drone should start descending 17.5 ft away from the backyard.
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On a 4 sided dice what is the probability that a 1 was rolled?
Answer (round) to the hundredth place value.
Given:
A 4 sided dice is rolled.
To find:
The probability of getting 1.
Solution:
A 4 sided dice is rolled.
On a 4 sided dice, the possible outputs are 1,2,3,4.
Total number of outcomes = 4
Favorable outcomes or number of 1 = 1
Now,
\(\text{Probability of getting 1}=\dfrac{\text{Favorable outcomes}}{\text{Total number of outcomes}}\)
\(\text{Probability of getting 1}=\dfrac{1}{4}\)
\(\text{Probability of getting 1}=0.25\)
Therefore, the probability of getting 1 is 0.25.
Which function is represented by the graph? f(x) = â’|x â’ 3| 4 f(x) = â’|x 3| 4 f(x) = â’|x â’ 4| 3 f(x) = â’|x 4| 3.
Functions are used to represent graphs, and vice versa.
The function represented by the graph is \(f(x) =- |x + 4| + 3\)
The graph (see attachment) is an absolute value graph.
An absolute value graph is represented as:
\(f(x) =a |x - h| + k\)
Where
\(Vertex = (h,k)\)
The vertex is the minimum or the maximum point on the graph.
So, we have:
\(Vertex = (-4,3)\)
The function becomes
\(f(x) =a |x + 4| + 3\)
The function also passes through the point (-1,0).
So, we have:
\(0 =a |-1 + 4| + 3\)
\(0 =a |3| + 3\)
Remove the absolute bracket
\(0 =3a + 3\)
Subtract 3 from both sides
\(3a =- 3\)
Divide both sides by 3
\(a =- 1\)
Substitute -1 for (a) in \(f(x) =a |x + 4| + 3\)
\(f(x) =- |x + 4| + 3\)
Hence, the function represented by the graph is \(f(x) =- |x + 4| + 3\)
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Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
a.
10
d.
4 5
b. 4 5
I
s 100
10
4
8
--
8 10
415
이
00
I
C. 10 85
815
I
10
I
2/5
I
211
552
415
Mark this and return
Next
Submit
The ratio of corresponding sides for the given similar triangles is 2/5.
In the given options, the ratio of corresponding sides is provided for each set of similar triangles. Let's analyze each option to determine the correct ratio:
a. 10
This option only provides a single number and does not specify the ratio of corresponding sides. Therefore, it is not the correct answer.
b. 4/5
This option provides the ratio 4/5 for the corresponding sides of the similar triangles. However, the ratio can be simplified further.
To simplify the ratio, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 5 is 1.
Dividing 4 and 5 by 1, we get:
4 ÷ 1 = 4
5 ÷ 1 = 5
Therefore, the simplified ratio is 4/5.
c. 10/85
This option provides the ratio 10/85 for the corresponding sides of the similar triangles. However, this ratio cannot be simplified further, as 10 and 85 do not have a common factor other than 1.
Therefore, the correct ratio of corresponding sides for the given similar triangles is 2/5, as determined in option b.
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Convert 2.41 cm2 into mm2 *the 2 means squared
Answer:
241 mm^2.
Step-by-step explanation:
There are 10 mm in a cm so there are 10*10 = 100 mm^2 in a cm^2.
So the answer is 2.41 * 100 = 241 mm^2.
Answer:
241mm²
Step-by-step explanation:
If 10mm = 1cm,
then 100mm² = 1cm²
2.41 × 100 = 241mm²
Let B be the basis of P, consisting of the three Laguerre polynomials 1, 1-t, and 2-4t+?, and let p(t)= 9 – 10t + 272. Find the coordinate vector of p relative to B. [p] = 0
The coordinate vector of p(t) relative to the basis B is [p] = [0, -7, 9].
To find the coordinate vector of p(t) relative to B, we need to calculate the coefficients of the basis vectors when p(t) is expressed as a linear combination of these basis vectors.
Specifically, we have p(t) = 0(1) + c₁(1-t) + c₂(2-4t+?) where c₁ and c₂ are the unknown coefficients we need to calculate.
Substituting p(t) into the above equation and solving for c₁ and c₂ gives us c₁ = -7 and c₂ = 9. Thus, the coordinate vector of p(t) relative to the basis B is [p] = [0, -7, 9].
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Dr. larson was interested in whether classical music helps students perform better on a test. dr. larson randomly assigned half of the study's participants to a group that listened to classical music while taking a test. the other half of the participants did not listen to music while taking a test. the research design dr. larson used is a case study a case study an experiment an experiment naturalistic observation naturalistic observation a correlational study a correlational study a survey
The research design that Doctor Larson is using is called an experiment.
This is an experiment because of the scientific methods that he is using. The experiment is made up of two subject group
The treatment group
The control group.
The treatment group are the people listening to music research
The control group are those that are not listening to any music play.
The scores from the test from these two groups would be used to make comparison and it would be established if listening to classical music helped students perform better.
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If fx)= 6x-4, what is fx) when x= 8"
A 2
B 16
C 44
D 52
Since x = 8, you would need to plug in 8 into the x.
f(x) = 6x - 4
f(x) = 6(8) - 4
f(x) = 48 - 4
f(x) = 44
So, the correct answer would be C. 44
what does 234 to the power of 9 equal
Find the value of X and show your work
Step-by-step explanation:
Ans of 8
x + 3x + 2x = 180 (sum of all angle of triangle is 180)
6x = 180
x = 60
Ans of 9
(2x-2)+(x+5)+90 = 180
3x+3+90 = 180
3x + 93 = 180
3x = 180-93
x = 87/3
x = 29
What is m<M?
no links please!!!!
Answer:
m<M is 98°............
Which expression is equivalent to (3−22)+5?
22−5
5−22
32−5
5−32
Answer:
B
Step-by-step explanation:
it is correct
Solve
5x-2>3x+11
Thanks
Answer:
x > 6.5
Step-by-step explanation:
Let's temporarily replace the inequality sign ">" with "=".
This gives us: 5x - 2 = 3x + 11.
If we subtract 3x from both sides we are left with:
2x - 2 = 11.
If we add 2 to both sides, we are left with:
2x = 13.
If we divide both sides by 2, we are left with
x = 6.5.
Now let's substitute back in the inequality sign
x > 6.5
Hope this helps!!!! :)
Answer:
X>6½
Step-by-step explanation:
5x-3x>11+2
2x>13
x>6½
*X>13:2 and that is how i get 6½
I hope so that i help you
[100 PTS] (I NEED A ANSWER QUICK!)
Given the equation 3x + 15 = 84:
Part A: Write a short word problem about a purchase made to illustrate the equation. (6 points)
Part B: Solve the equation showing all work. (4 points)
Part C: Explain what the value of the variable represents. (2 points)
Answer:
Alex has 3x dollars and an extra 15 dollars in his coat pocket. He buys a new Nike shoe for 84 dollars. How much money did Alex spend that was not in his pocket.
Step-by-step explanation:
Answer:
Part A: Word problem
Maria went to the store and purchased some books for her book club. Each book cost $3, and she also bought some bookmarks at $15 each. Maria's total purchase, including tax, amounted to $84. If Maria bought x books, write an equation to represent the situation.
Part B: Solution
To solve the equation 3x + 15 = 84, we need to isolate the variable x on one side of the equation.
Step 1: Subtract 15 from both sides of the equation to eliminate the constant term on the left side:
3x + 15 - 15 = 84 - 15
3x = 69
Step 2: Divide both sides of the equation by 3 to isolate x:
3x/3 = 69/3
x = 23
So, the solution to the equation is x = 23.
Part C: Explanation
In the given equation 3x + 15 = 84, the variable x represents the number of books Maria purchased. The equation states that the cost of x books at $3 each, represented by 3x, plus the cost of $15 for bookmarks, totals to $84. Thus, the value of x represents the number of books Maria bought in this scenario. In the solution, x = 23, it means Maria purchased 23 books for her book club.
Step-by-step explanation:
What numbers do we need to round to the nearest 100?
100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200
0, 100, 200, 300, 400, 500, 600, 700, 800, 900, 1,000
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70
If their food and beverage cot $25. 30 and there i an 8% meal tax, how much i the bill? After adding a tip, the total lunch cot wa $32. 24. What percentage tip did they give? Enter your anwer to the nearet percentage
The percentage tip did they give is 18%
If their food and beverage cost $25. 30
There i an 8% meal tax
The tax will be
$25.30(0.08) = $2.024.
Then we add the tax to the price such that
The bill will be
$25.30 + 2.024 = $27.32
Tip = 32.24 - 27.32 = 4.92
percentage tip did they give
= tip given /total amount of the bill x 100
= 4.92/27.32 x 100
= 18%
Therefore, If their food and beverage cot $25. 30 and there i an 8% meal tax and after adding a tip, the total lunch cot wa $32. 24.the percentage tip did they give is 18%
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Solve 3(x - 4) = 11x
Answer:
\(x = \frac{-3}{2}\)
Step-by-step explanation:
3(x - 4) = 11x
Expand the brackets:
3x - 12 = 11x
Subtract 3x from both sides to isolate the -12:
3x - 12 = 11x
3x - 3x - 12 = 11x - 3x
-12 = 8x
8x = -12
Divide both sides by 8:
\(\\\frac{8x}{8} = \frac{-12}{8}\\x = \frac{-12}{8}\\\)
Simplify fraction:
\(x = \frac{-12}{8}\)
\(x = \frac{-12 \div 4}{8 \div 4}\\x = \frac{-3}{2}\)
Hope this helps!
Which function defines (g•f)(x)?
Answer:the Awnser would be d
Step-by-step explanation:
Plato
This relationship represents between f(x) and g(x) :
(g•f)(x) = 5xlog(5x) + 4log(5x) which is correct option(D).
What is function?The function is defined as mathematics expression defines a relationship between one variable and another variable.
f(x) = log(5x)
g(x) = 5x + 4
Multiply by f(x) in g(x),
(g•f)(x) = (5x + 4)f(x)
(g•f)(x) = 5xf(x) + 4f(x)
Substitute value of f(x),
(g•f)(x) = 5xlog(5x) + 4log(5x)
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How do I solve this problems I don’t need all of them explained 1 from each part would be fine
Answer:
Additive inverse is the opposite of a number which when you add to the original number gives a result of zero. In other words change the sign and you are done.
Multiplicative inverse is the reciprocal of the number which when you multiply with the original number the result is 1. In other words flip the number or fraction (exchange the numerator with the denominator)
Step-by-step explanation:
See the picture.
An assessment finding for a 65-year-old patient that alerts the nurse to the presence of osteoporosis is: A. A statement about frequent falls. B. The aversion to dairy products. C. A measurable loss of height. D. The presence of bowed legs.
A measurable loss of height is an assessment finding in a 65-year-old patient that alerts the nurse to the presence of osteoporosis.
Osteoporosis is a condition characterized by the loss of bone density and strength, leading to increased fragility and risk of fractures. Among the given options, option C, "a measurable loss of height," is a key assessment finding that indicates the presence of osteoporosis. Osteoporosis can cause compression fractures in the spine, leading to a decrease in height. As the bones in the spine weaken and collapse, it can result in a noticeable loss of height over time. This can be measured and documented during a physical assessment.
Frequent falls (option A) may not necessarily be a specific indication of osteoporosis, as falls can occur due to various factors. Aversion to dairy products (option B) may suggest a potential deficiency in calcium intake, which can contribute to osteoporosis, but it alone is not a conclusive sign. Bowed legs (option D) may be related to other conditions but are not a direct indicator of osteoporosis.
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Find the square root 64/100
After finding the square root of 64/100, the value obtained in terms of a fraction will be 4/5.
What is a fraction?In mathematics, a fraction is represented by a specific number that designates a portion of an entire. A fraction is a piece or section of a whole, whereby a can have been any number, a particular value, or an object.
As per the given information in the question,
The given fraction is,
The square root of 64/100
So,
√64 = 8 and,
√100 = 10
Then, the fraction will be,
= 8/10 = 4/5
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f(x)=x^4-8x^3+4x^2+6x-3;f(2) Use the Remainder Theorem to find the Indicated function value
The required simplified value of the function at x = 2 is -23.
An expression, \(f(x) = x^4-8x^3+4x^2+6x-3,\) solution of the expression at x = 2 is to be determined.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
In order to simplify the given expression association of the terms that have equal value in the exponent.
\(f(x) = x^4-8x^3+4x^2+6x-3,\)
Put x = 2
\(f(2) = 2^4-8*2^3+42^2+6*2-3,\)
f(2) = -23
Thus, the required simplified value of the function at x = 2 is -23.
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Find the slope and the Y-intercept of the graph below.
Answer:
the slope is (-2,0) (2,4)
y intercept is (0,2)
Step-by-step explanation:
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You are building a shed with your mother. A piece of wood is 4 feet long. How many 2/3 sections can you cut out of each piece of wood?
Answer: We can cut 6 \(\dfrac23\) sections out of each piece of wood.
Step-by-step explanation:
Given: A piece of wood is 4 feet long.
Number of \(\dfrac23\) sections = \(4\div\dfrac23\)
\(=4\times\dfrac{3}{2}\ \ \ \ [\because \dfrac{a}{b}\div\dfrac{c}{d}=\dfrac{a}{b}\times\dfrac{d}{c}]\\\\=2\times3\\\\=6\)
i.e. Number of \(\dfrac23\) sections = 6
Hence, we can cut 6 \(\dfrac23\) sections out of each piece of wood.
Consider a $20 ultimatum game where offers are made to the nearest $0.50. a. What is the Nash equilibrium for this game? b. The experimental literature has found that behavior (of both the proposer and the responder) in the lab deviates from the Nash equilibrium. Explain the specific ways in which it deviates. c. Why does the behavior of the proposer deviate from Nash equilibrium? Provide at least two explanations. d. Pick one of the explanations from part c. How would you test it?
(a) The Nash equilibrium for the $20 ultimatum game is a 50-50 split: the proposer offers $10 and the responder accepts. (b) Experimental findings show deviations from the Nash equilibrium due to fairness considerations, strategic behavior, and social preferences. (c) Proposers deviate from Nash equilibrium due to fairness concerns and strategic considerations. (d) To test the explanation, conduct experiments manipulating fairness norms and incentives to observe proposers' behavior.
(a) The Nash equilibrium for the $20 ultimatum game, where offers are made to the nearest $0.50, is a 50-50 split, where the proposer offers $10 and the responder accepts.
(b) The experimental literature has found deviations from the Nash equilibrium in both proposers and responders. These deviations can be attributed to various factors such as fairness considerations, strategic behavior, and social preferences.
(c) The behavior of the proposer deviates from the Nash equilibrium due to factors like fairness concerns and strategic considerations. Proposers may make more generous offers to avoid rejection or to signal fairness and maintain a positive reputation.
(d) To test the explanation that proposers deviate from the Nash equilibrium due to fairness concerns, one could design an experiment where fairness is manipulated. Participants could be exposed to different fairness treatments, and their offers could be observed and compared to those in a control group. Statistical analysis can then be used to determine if there is a significant difference in offers between the fairness treatments and the control group.
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A 68-year old retiree has a pension savings of $51,000, a 401k of $58,000, and an IRA account of $68,000. Before 2008, he had 2% more cash in the pension, 12% more in the IRA, and −1% in the 401k. He wants to take out 2% from each account before he turns 72, which will cost him a penalty of an extra 1% from the pension, 2% from the 401k, and 6% from the IRA. What is the relevant information for the amount that the retiree will have in his pension if he doesn't take money out now?
A: The retiree had 2% more cash in the pension in 2008
B: The retiree has a pension savings of $51,000
C: The retiree has a 401k of $58,000
D: The retiree has an IRA account of $68,000
Answer:
B: The retiree has a pension savings of $51,000
Step-by-step explanation:
LM=24 MN=13 what is KM?
Answer:
ans: KM = 576/13
Step-by-step explanation:
break given triangle to two triangle,
use pythagoras theorem to find LN
now, splited triangle are similar to each other so corresponding sides are proportional to each other
Arie's pet shop is selling geckos at 12 and a half percent off! if geckos were originally $20 each, what is the sale price?
DIscount = 121/2 % 0ff
\(\begin{gathered} \text{Sales price = 12}\frac{1}{2}\text{ }\times\text{ 20} \\ \text{ =}\frac{\frac{25}{2}}{100}\text{ }\times20\text{ } \\ \text{ } \\ \text{ =}\frac{25}{200}\text{ }\times20\text{ = }\frac{500}{200}\text{ = \$2.5} \end{gathered}\)