Answer:
C
Step-by-step explanation:
Have a great day ^^ :)
A scientist wanted to measure the constant rate of the current in a particular section of the river. She released a tracker into the river. The tracker sent her back the following information:
After 3.5 seconds since the tracker was released into the river the tracker had traveled 5.5 meters.
After 10.9 seconds since the tracker was released into the river the tracker had traveled 16.5 meters.
What is the constant rate of the current?
Answer:
1.486m/s
Step-by-step explanation:
The rate of change is defined as the change in distance divided by the change in time
Rate = ∆distance/∆time
Distance = 16.5 and 5.5
Time = 10.9 and 3.5
When we put this into the formula above, we have:
Rate of change = 16.5 - 5.5 / 10.9 - 3.5
= 11/7.4
= 1.486m/s
The constant rate of change has been calculated to be equal to 1.486m/s
You can use the fact that the rate of the change of a value when some other independent value changes is the ratio of change in the dependent variable to the change in the independent variable.
The constant rate of the current is given by 1.4865 meters per second.
How to measure the rate of change of something as some other value changes?Suppose that we have to measure the rate of change of y as x changes, then we have:
[tex]Rate = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
where we have
[tex]\rm when \: x=x_1, y = y_1\\when\: x = x_2, y= y_2[/tex]
Remember that, we divide by the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.
(5 change per 3 unit can be rewritten as 5/3 change per 1 unit)
How to measure the constant rate of the current for the given situation?The distance traveled by the tracker depends on the time passed.
Let the variable "t" tracks the amount of time passed and let the variable "d" tracks the distance traveled by the tracker, then we have:
[tex]\rm At \: t = t_1 = 3.5, d=d_1 = 5.5 \: m\\At \: t = t_2 = 10.9, d = d_2 = 16.5 \: m[/tex]
Thus, the constant rate of current is obtained by
[tex]Rate = \dfrac{d_2 - d_1}{t_2 - t_1} = \dfrac{16.5 - 5.5}{10.9 - 3.5} = \dfrac{11}{7.4} \\\\Rate \approx 1.4865 \: \text{meters per second}[/tex]
Thus,
The constant rate of the current is given by 1.4865 meters per second.
Learn more about rate of change here:
https://brainly.com/question/2460159
(2x+y=-2
5x + 3y = -8
Solve by elimination
Answer:
y = -6, x =2
Step-by-step explanation:
To solve by elimination, you have to line both equations up together. Then, you multiply both equations until one variable is removed.
2x+y = -2
5x + 3y = - 8
There are many different ways to solve an elimination problem, but generally you should look for the simplest route. Here, I would multiply the top equation by -3.
-6x -3y = 6
5x +3y = -8
Imagine you are adding the two equations together. You end up with
-x = -2
Then solve for x. In this situation, it is fairly simple. Take out a factor of -1.
x = 2
Finally, choose one of your beginning equations and plug your new-found x value back into the equation.
2(2) +y = -2
4 + y = -2
y = -6
Help needed with this as soon as possible
Answer:
1
Step-by-step explanation:
g(-3)=-2(-3)²+3(-3)
=-18-9
=-27
v= u + at, find v, when u = 12, a = 5 and t = 7
Answer:
V=47
Step-by-step explanation:
12+5x7
12+35
47
Answer:
Final velocity (v) = 47 m/s
Step-by-step explanation:
u = 12
a = 5
t = 7
v = ?
v = u + at (first law of motion)
v = 12 + (5 × 7)
v = 12 + 35
v = 47 m/s.
jackie bought 15 cookies for $3 . How much will she have to pay for 35?
Step-by-step explanation:
15=3
35=x
15x=3×35
x= 3×35÷15
x=105÷15
x=7
Which pair of functions are inverses?
A.f(x) = 2x + 1, g(x) = 2x - 1
B. f(x)=3x+2. g(x)= 1/3x-2/3
C. f(x) = 4x, g(x) = -4x
D. f(x)= x+1/5, g(x)= x+5
Answer:
3
Step-by-step explanation:
2 plus 1 is 3
#5 Mr. Awesome & Mrs. Amazing had their students count how many pencils they each had in their pencil boxes. The box plots display the data for both classes. NUMBER OF PENCILS Mc. Awesome's Class Mrs Amazing's Class 앵 0 1 2 3 10 12 13 14 4 15 16 17 18 19 20 Which statement is best supported by the information in the box plots? A) The data for Mr. Awesome's class is more symmetrical than the data for Mrs. Amazing's class. B) The interquartile range of the data for Mr. Awesome's class is less than the interquartile range of the data for Mrs. Amazing's class. The median number of the data for Mr. Awesome's class is less than the median number of the data for Mrs. Awesome's class. D) The range of the data for Mc Awesome's class is less than the range of the data for Mrs. Amazing's class. Amazno Mihemetics
A cliff Diver jumps from 50 feet into a lake. After hitting the water he travelled 22 feet below the surface. How far did he travel?
Add both distances together:
50 + 22 = 72 feet total distance.
M(4, 2) is the midpoint of RS. The coordinate of S are (6, 1). What are the coordinates of R?
Answer:
Step-by-step explanation:
Compare coordinates of S and M
difference in x-coordinates = 4-6 = -2
difference in y-coordinates = 2-1 = 1
x-coordinate of R = x-coordinate of M - 2 = 4-2 = 2
y-coordinate of R = y-coordinate of M + 1 = 3
R(2,3)
What is the average rate of change in temperature from February to May?
Answer:
27 degrees
Step-by-step explanation:
what is the derivative of 5(x+2)
Answer:
5
Step-by-step explanation:
d(5(x+2))/dx
d(5x+10)/dx
d(5x)/dx + d(10)/dx
5+0
5
2 3
X 8 4
What’s the answer?
Answer:
1932
Step-by-step explanation:
Answer:
1932
...................
a total of 40 percent of the voters in a city classify themselves as independents, whereas 35 percent classify themselves as liberals, and 25 percent as conservatives. in a recent election, 40 percent of the independents, 75 percent of the liberals, and 65 percent of the conservatives voted. given that a person voted in the election, what is the probability that the person is an independent
Answer:
Probability = 0.088 ie 8.8%
Step-by-step explanation:
P (I) = 40% = 0.4
P (L) = 35% = 0.35
P (C) = 25% = 0.25
P (EV / I) = 40% = 0.4
P (EV / L) = 75% = 0.75
P (EV / C) = 65% = 0.65
P (I / EV) = [ P (EV / I) . P (I) ] / [ P ( EV) ]
[ P (EV / I) . P (I) ] / [ P (EV / I) + P (EV / L) + P (C / L)
[(0.4) (0.4)] / [ 0.4 + 0.75 + 0.65 ]
0.16 / 1.8
= 0.088 ie 8.8%
5. A baker had 2 pans of corn bread. He served 1 1/4 pans. What fraction of a pan was left?
Answer:
3/4
Step-by-step explanation:
2- 1 1/4= 3/4
Answer:
3/4
Step-by-step explanation:
Select the most precise name of quadrilateral MNOP given the coordinates of M, N, O, and P.
Answer:
Parallelogram
Step-by-step explanation:
That dude above doesn't know what his talking about its parallelogram my teacher confirmed it too
The quadrilateral MNOP is a parallelogram in which opposite sides are equal and parallel to each other.
QuadrilateralA quadrilateral is a polygon with four angles and four sides.
Given the vertices of quadrilateral MNOP at M(1, 1) N(3, 4) O(6, 6) P(4, 3). Plotting the points using geogebra,
We can see that the quadrilateral MNOP is a parallelogram in which opposite sides are equal and parallel to each other.
Find out more on Quadrilateral at: https://brainly.com/question/23935806
What is 5/6 plus 7/8?
Answer:
1 17/24
Step-by-step explanation:
Answer:
41/24 or 1 17/24
Step-by-step explanation:
Perform the operation.
(6x2 – 5x) – (10x² + 8x – 8)
HELP ASAP PLS
if root x+9=root 784, the value of x
Answer:
on squaring complete term
x + 81 = 784
x = 784 - 81
x = 703
Step-by-step explanation:
If x=9 in what is the surface area of the geometric shape formed by this net?
Answer:
1134 in²Step-by-step explanation:
Surface area is:
x²*2 + 3x*x*4 = 14x²Substitute x:
14x² = 14*9² = 1134 in²find the value of x
Answer:
X=65.4 Degrees
Step-by-step explanation:
Hehe ;)
this year cornells class took one more than 3 times as many field trips as last years class this year cornells class took a total of 7 trips how many trips did his class take last year
Answer:
ten may be if it is incorrect forgive me
MATH HOMEWORK WHO CAN ANSWER
Answer:
its the 3 one
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
A. [tex] \angle 4 \: and \angle 6[/tex] - - - (same side interior angles)
B. [tex] \angle 5 \: and \angle 8[/tex] - - - (vertical angles)
C. [tex] \angle 2 \: and \angle 6[/tex] - - - (corresponding angles)
D. [tex] \angle 4 \: and \angle 5[/tex] - - - (alternate interior angles)
what is the solution for 5(m-3) ≥ 7m-2.4 ?
Answer:
Step-by-step explanation:
5(m-3)≥7m-2.4
5m-15≥7m-2.4
2m≤-12.6
m≤-6.1
Answer:
m>6.3
Step-by-step explanation:
Which graph represents the inequality ?
Answer:
if there is a pic i need to to help so since there is no pic i can not help
Step-by-step explanation:
Which value of x, from the choices below, make the expressions x + 3 and 2x equivalent?
Answer:
x = 3
Step-by-step explanation:
n(U) = 147, n(A) = 48, n(B) = 68, n(A ∩ B) = 19, n(A ∩ C) = 22, n(A ∩ B ∩ C) = 10, n(A' ∩ B ∩ C') = 39, and n(A' ∩ B' ∩ C') = 36.
Find n(C).
A) 26
B) 14
C) 30
D) 46
Answer: D) 46
===========================================================
Explanation:
We have these 8 given facts
N(U) = 147n(A) = 48n(B) = 68n(A ∩ B) = 19n(A ∩ C) = 22n(A ∩ B ∩ C) = 10n(A' ∩ B ∩ C') = 39n(A' ∩ B' ∩ C') = 36Draw out a rectangle to represent the universal set U. Inside this rectangle, draw three overlapping circles. Refer to the diagram below (imagine that none of the values have been written down just yet). These circles are A, B, and C.
Now we'll focus on the 8 facts above. To start off, we'll look at fact 6 which says n(A ∩ B ∩ C) = 10. This means there are 10 items inside all three sets. This is the middle most region where all three circles overlap with one another.
Then move to fact 4 and we see that 19 items are in sets A and B at the same time. Subtract off those 10 items in all three sets and we have 19-10 = 9 items in set A and B, but not set C. We can write this as n(A ∩ B ∩ C') = 9 if you wanted to stay consistent with this math notation. Write "9" in the overlapped region between A and B, but not inside circle C.
Now go to fact 5. We have n(A ∩ C) = 22 telling us there are 22 items in both sets A and C at the same time. Subtract off the 10 in all three sets and we're left with 22-10 = 12 items in set A and set C, but not set B. We can write this as n(A ∩ B' ∩ C) = 12. Write "12" in the region between A and C, but outside of circle B.
If you're stuck anywhere, refer to the diagram below. Imagine that not all of the values have been filled in just yet.
---------------------------
So far you should have the numbers 10, 9 and 12 written in those positions I mentioned. Circle A is mostly filled out. We're missing the region that's inside A but outside both B and C; however, we can find that to be 17. Why is this? Well because n(A) = 48 and the other values (10, 9 and 12) add to 10+9+12 = 31. Then note how 31+17 = 48. So we must have 17 items in circle A but outside the other circles. We can write this as n(A ∩ B' ∩ C') = 17
In short, all of the values in circle A must add to 48. We have 17+10+9+12 = 48.
From fact 7, we can see that n(A' ∩ B ∩ C') = 39 meaning there are 39 items in circle B and not in any other circle. So we'll fill this value in as well.
The last value to fill in is the 36 from fact 8. This goes outside all of the circles.
The venn diagram below shows all of these values filled in that I mentioned so far. The missing two blank regions in circle C can be thought of as one region for the sake of simplicity.
---------------------------
Using that diagram of filled in values, add up every number written down:
17+9+39+12+10+36 = 123
We have 123 items so far in the universal set
We're told that n(U) = 147, meaning there are 147 items total in the universal set.
This must mean that 147-123 = 24 items are in the two blank regions of circle C. We don't need to break down how the 24 splits up.
That 24 adds to the other numbers inside circle C to get to the final answer
12+10+24 = 46
Choice D is the answer.
Side note: you could use n(B) = 68 to help break down those two blank regions of circle C, but that's just unnecessary extra work.
Choose the inequality that represents the following graph.
Answer:
a
Step-by-step explanation:
the answer is a because the rrow is pointing right so the symbol is > and the point starts at -5
Liam had63 markers, Alex has 49 markers, and Oliva has 77 markers use the GCF and
Answer:
and.....? look im only answering for the points m'lady. all i know is that olivia has, alex has, and liam HAD.
Step-by-step explanation:
Answer:
Step-by-step explanation:
63 = 3 * 3 * 7
49 = 7 * 7
77 = 7 * 11
So the GCF = 7.
LCM = 7 * 7 * 3 * 3 * 11 = 4851.
Jyoti is four times older than her daughter after 5 years Jyoti age will be three times of the age of her daughter find their present ages.
Answer:
possible answer: 44- parent/ 14 yrs old daughter.
Sorry if i'm wrong
Step-by-step explanation:
Reina enjoys dinner at a restaurant in Alhambra where the sales tax on meals is 10%. She left a 20% tip on the price of her meal before the sales tax was added. The meal was $22. How much should she give for tip? Show your work or explain your solution.$2.20
$4.40
10%
$6.60
Answer:
Step-by-step explanation:
Your answer
Meal is 22$
10% tax, tax with price = 24.2$
She gave on tip = 4.84$
Total price = 29.04$
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