Final answer:
The bee returns to the starting point at (5, -5, -3) after 5 seconds since the integral of its velocity over that period is zero, indicating no net change in position.
Explanation:
To find where the bee is located at time t = 5, we start by looking at the given velocity vector r'(t). Since ∫05r'(u)du = 0, this implies that the integral of the velocity function over the interval from 0 to 5 seconds results in zero net displacement. Thus, the total change in position of the bee over these 5 seconds is zero.
Since the bee starts at the position (5, −5, −3) at t = 0, and there is no net change in position over 5 seconds, the bee must return to the starting point at t = 5. Therefore, the bee is located at (5, −5, −3) at time t = 5 seconds.
Select the statement that correctly describes the solution to this system of equations.
–3x + 2y = –22
–5y = –4x + 27
A
There is no solution.
B
There are infinitely many solutions.
C
There is exactly one solution at (8, 1).
D
There is exactly one solution at (1, 8)
Quadrilateral ACEG≅Quadrilateral NMRP Which statement is true?
A:
EG≅MN
B:AC≅MR
C: AG≅NP
D:CE≅NP
pls help
Final answer:
The true statement given that quadrilateral ACEG is congruent to quadrilateral NMRP is D: CE≡NP, which matches the corresponding sides based on the order of the vertices in the name of each quadrilateral following CPCTC.
Explanation:
If quadrilateral ACEG is congruent to quadrilateral NMRP, then corresponding parts of congruent polygons are congruent as well. This principle is often abbreviated as CPCTC (Corresponding Parts of Congruent Triangles are Congruent). Applying this rule, we need to match each vertex of quadrilateral ACEG to the corresponding vertex of quadrilateral NMRP.
To determine which statement is true, we need to compare the corresponding parts:
EG≡MN: This would be true if G corresponded to N and E to M, which would make EG and MN opposite sides.AC≡MR: This would imply that A corresponds to M and C to R, which are not opposite each other based on the naming of the quadrilaterals. This is not correct.AG≡NP: For this to be true, A would have to correspond to N and G to P. But again, A and G are not opposite vertices so this can't be true.CE≡NP: If C corresponds to N and E corresponds to P, then CE and NP would be equivalent and therefore congruent. Since there are four sides, the connecting letter should signify that C corresponds to N, and E to P, making this the correct correspondence.Hence, the correct statement based on the information given and the application of CPCTC is D: CE≡NP.
What is the arm span of a 74 inch tall person
Final answer:
The arm span of a person is typically about equal to their height; therefore, a 74 inch tall person is likely to have an arm span of approximately 74 inches.
Explanation:
The arm span of a 74-inch tall person can be estimated based on certain proportions. In general, a person's arm span is approximately equal to their height. This means that a 74-inch tall person would have an arm span close to 74 inches.
The arm span of a person is generally very close to their total height. Based on anatomical studies and the concept that human body proportions tend to be relatively consistent regardless of overall size, a person who is 74 inches tall is likely to have an arm span that is also approximately 74 inches. However, it is important to note that while this is a common correlation, individual variations do exist and a precise measurement would require actual measurement rather than estimation.
At the library you find nine books on a certain topic the librarian tells you that 55% of the books on this topic have been signed out how many books does the library have available on the topic
A student attempted to generate an equivalent expression using the distributive property, as shown below:
4(x + 2) = x + 8
What was the mistake made?
4 was not multiplied by x
4 was not multiplied by 2
Incorrect sign was used for the first term
Incorrect sign was used for the second term
Answer:
4 was not Multiplied By X
Step-by-step explanation:
What is the circumference of a circle with a radius of 6.1 centimeters?
Enter your answer as a decimal in the box. Use 3.14 for pi. Round your answer to the nearest tenth.
cm
please help
Matthew walks 5/8 mile to the bus stop each morning. how far will you walk in 5 days
A meteor crater is 3900 feet in diameter. Approximate the distance around the crater. Use 3.14 for π.
how much should Lauren, earning 7.80 an hour, make working a 44-hour week?
Answer:
343.2
Step-by-step explanation:
7.8*44=343.2
How to do this cause I am confused
which translation maps the graph of the function f(x)=x^2 onto the function g(x)=x^2-6x+6
Answer:
Translation from (0,0) to (3,-3), 3 units down, and 3 units to the right.
Step-by-step explanation:
The Geometric Transformation called Translation of this parabola f(x)=x² is obtained, firstly by shifting it down 3 units simply adding -3 units as the independent term.
The Translation of the Parabola is counted by its vertex. y=x² (0,0) to y=x²-6x+6 (3,-3).
Algebraically:
So, f(x)=x² -3
Looking at g(x)=x²-6x+6, we still need to make it down after the curve intercept y-axis. b<0
Then, let's shift it three units to the right so its vertex hit the point 6, as y-coordinate, we have to add -3. If we want to add to the right sum negative value, then square it:
y= (x-3)²-3
y=x²-6x+9-3
y=x²-6x+6
If a piece of cardboard is 6 in long and I line up a hundred and ten of them what would be the length of my row and feet
which equation represents the pattern in the table below?
[tex]s = c + 4[/tex]
[tex]s = 4c[/tex]
[tex]c = s + 4[/tex]
[tex]c = 4s[/tex]
Answer:
[tex]c=s+4[/tex]
Step-by-step explanation:
We are given that a pattern in the table
We have to find which equation represents the pattern in the table.
Sail=3
Carrie's age=7
Let s be the sale's and c be the carrie's age
Sail=3
Carrie's age=7
Carrie's age=3+4
Sail=5
Carrie's age=9
Carrie's age=5+4
Sail=8
Carrie's age=12=8+4
Sail=13
Carrie's age=13+4
Sail=15
Carrie's age=19=15+4
Hence, [tex]C=S+4[/tex] is an equation which represents the pattern in the table.
Answer:[tex]c=s+4[/tex]
When you take the square root of a positive integer, how many possible answers are there? When you take the cube root of a positive or negative integer, how many possible answers are there?
I need help simplifying this: √289
if f(x)= 2x^2+5sqrt(x-2), complete the following statement: The domain for f(x) is all real numbers _____ than or equal to 2. (fill in the blank)
Answer:
Greater.
Step-by-step explanation:
The in the function [tex]f(x)=2x^2+5\sqrt{x-2}[/tex], the square root term [tex]\sqrt{x-2}[/tex] has to give a real number if [tex]f(x)[/tex] is to be real. This can only happen if [tex]x\geq 2[/tex] because if [tex]x<2[/tex] then [tex]\sqrt{x-2}[/tex] will give a complex number and therefore [tex]f(x)[/tex] will not be real.
Thus, the domain for f(x) is all real numbers greater than or equal to 2.
The domain for f(x) is all real numbers greater than or equal to 2.
This is because the square root function is undefined when its argument is less than or equal to 0. So, the expression 5sqrt(x-2) is defined only when x-2 is greater than or equal to 0. This means that x must be greater than or equal to 2.
The domain of f(x) is all real numbers x such that x ≥ 2.
Here is a table that shows the values of f(x) for different values of x:
x | f(x)
2 | 20
3 | 29
4 | 42
5 | 57
6 | 74
As you can see, the values of f(x) are defined for all real numbers x such that x ≥ 2.
To learn more about domain here:
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Write a trinomial of degree 35
A family reunion of 27 decided to go to Six Flags Magic Mountain. Adult tickets cost $40 each and child tickets cost $30 each. The total cost of all tickets was $930. Use the SUBSTITUTION METHOD to determine how many adults and how many child tickets were purchased?
To solve the problem, set up a system of equations with 'a' representing the number of adult tickets and 'c' representing the number of child tickets. Use the substitution method to solve for the variables. The solution is 12 adult tickets and 15 child tickets.
Explanation:To solve this problem using the substitution method, we need to set up a system of equations. Let's use the variables 'a' to represent the number of adult tickets and 'c' to represent the number of child tickets.
The cost equation can be expressed as: 40a + 30c = 930. This equation represents the total cost of all the tickets.
The quantity equation can be expressed as: a + c = 27. This equation represents the total number of people attending the reunion.
We can solve this system of equations using the substitution method. Multiply the second equation by 30 to get 30a + 30c = 810. Now subtract this equation from the first equation: 40a + 30c - (30a + 30c) = 930 - 810. Simplifying, we get: 10a = 120. Divide both sides by 10 to get a = 12.
Now that we know the number of adult tickets, we can substitute this value back into one of the original equations to solve for the number of child tickets. Using the second equation, we have: 12 + c = 27. Subtracting 12 from both sides, we get c = 15.
Therefore, 12 adult tickets and 15 child tickets were purchased.
Victor Hernandez has a credit card that bases its finance charge on the average-daily-balance method-new purchases included. His monthly periodic rate is 2.9% and his finance charge for the most recent billing cycle was $37. Find his average daily balance.
Justin drove at a steady speed of 60 miles/hour. Write an equation to represent the relationship between the total distance Justin drove, 'd', in a certain amount of time, 't'. Which value is the dependent variable? Which is the dependent variable? Which is the independent variable? Explain.
Answer:
60d+t=
Step-by-step explanation:
what the answer
1/ 4 of a pizza is split equally between 3 sisters. How much of a whole pizza will each sister get?
PLZ HELP FAST!!!!!!!
The triangles are similar. The area of the larger triangle is 729 cm².
What is the area of the smaller triangle?
10.5 cm²
31.5 cm²
67 cm²
81 cm²
How many different triangles can be constructed with side measurements 6 centimeters, 9, centimeters, and 13 centimeters?
1.exactly one triangle
2.more than one triangle
3.no triangles
If you could answer as fast as you can that would be great please
Pink, purple, red. If these colors would go in order, each used twice, what are all the possible combinations that can be made??
Describe a way you can use graham crackers to demonstrate the division problem 3 divided by 1/4 . Include the result in your description.
Kim and her two brothers each use 1 1/2 cups of milk for breakfast how many fluid ounces of milk do they use in 4 days?
Please solve this problem (surface area). With work bc my teacher said I need to show work with my answer
Which orderer pair can be removed so that the resulting graph represents a function? (-2,2) (1,3) (5,-4) or (-4,-4)
It will be B. (1,3)
Hope this helps!
Mr. Malloy wants to make sure Amo and Javier get the best possible grade after five tests and can either give a grade based on the median or the mean.
Test
Number
Amo’s Scores
Javier’s Scores
1
97
68
2
92
97
3
89
65
4
55
92
5
90
65
What measure of center should Mr. Malloy use for Amo and for Javier for the best possible grade?
The teacher should use the mean for both Amo and Javier.
The teacher should use the median for both Amo and Javier.
The teacher should use the median for Amo and the mean for Javier.
The teacher should use the mean for Amo and the median for Javier.
Answer:
C: The teacher should use the median for Amo and the mean for Javier 2022
Step-by-step explanation:
I took the test and please mark brainly
AND PLEASE SCROLL DOWN WHENEVER YOUR LOOKING FOR ANSWERS BECAUSE THERE'S A REASON IT SOMETIMES SAYS 2 ANSWERS and if you see this please copy and paste this because some people are to lazy to scroll down and do work
For Amo, the median (89) is higher than the mean (84.6), and for Javier, the mean (77.4) is higher than the median (68). Thus, Mr. Malloy should use the median for Amo and the mean for Javier for the best possible grades.
Explanation:To determine the best possible grade for both Amo and Javier, we first need to calculate their mean and median scores. The mean is calculated by adding all the test scores together and dividing by the number of tests. The median is the middle score when all scores are listed in ascending order. If there is an even number of scores, the median is the average of the two middle scores.
Amo's Scores: 97, 92, 89, 55, 90
Javier's Scores: 68, 97, 65, 92, 65
For Amo, we calculate the mean as follows:
(97 + 92 + 89 + 55 + 90) / 5 = 84.6
The median for Amo would be the third score since there are five tests, which is 89.
For Javier, we calculate the mean as follows:
(68 + 97 + 65 + 92 + 65) / 5 = 77.4
The median for Javier would also be the third score, which is 68.
Now, comparing Amo's mean and median, we see that the median (89) of Amo's test scores is higher than the mean (84.6). Therefore, for Amo, Mr. Malloy should use the median.
Looking at Javier's mean and median, we see that the mean (77.4) of Javier's test scores is higher than the median (68). So, for Javier, Mr. Malloy should use the mean.
The teacher should use the median for Amo and the mean for Javier for the best possible grade.
Explain one relationship between capacity and fluid ounces