9514 1404 393
Answer:
10√5
Step-by-step explanation:
The geometric mean of two numbers is the square root of their product.
m = √(20×25) = √500 = √100 × √5
m = 10√5
The geometric mean of 20 and 25 is 10√5.
Using linear functions, it is found that Rowan and Kennedy will have read the same number of pages in 10 minutes.
What is a linear function?
- A linear function is modeled by:
In which:
- a is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
For Rowan, we have that:
- He has already read 20 pages, hence the y-intercept is
.
- He reads 1.5 pages per minute, hence the slope is
Then:
For Kennedy, we have that:
- He has already read 25 pages, hence the y-intercept is
.
- He reads 1 page per minute, hence the slope is
Then:
They will have read the same number of pages after x minutes, for which:
Then:
To learn more about linear function, you can take a look at brainly.com/question/25823744
9514 1404 393
Answer:
- 3/2
- it is the ratio of oil to vinegar in the dressing
- y = 3/2x
Step-by-step explanation:
1. The table can be filled in like this:
- (x, y)
- (0, 0)
- (2, 3)
- (4, 6)
- (6, 9)
The constant of proportionality is the ratio of y to x:
k = 3/2
__
2. The meaning of the constant of proportionality is just what it is defined to mean: the ratio of oil to vinegar in the dressing.
__
3. The equation is y=kx, where k is the value in part 1:
y = (3/2)x
Answer:
(a)
- Independent Variable- Dosage of Omega-3 Fatty Acids
- Dependent Variable - Number of news item remembered
(b)Discrete
(c)Ratio Scale and Discrete Variable
(d) Experimental Method
Step-by-step explanation:
The psychologist wants to evaluate the claim that omega-3 fatty acids can help improve memory in normal adult humans.
(a)In the study, the participants in the two groups were given fish extracts containing Omega-3 (500 mg) and no Omega-3 (0 mg).
The memory test involves measuring the number of items each participant remembers from the past three weeks of news.
Therefore:
- Independent Variable- Dosage of Omega-3
- Dependent Variable - Number of news item remembered
(b) The dependent variable is discrete since the number of news items remembered can only be whole numbers.
(c)The independent variable is in milligrams of Omega-3 where the placebo is 0 mg. This is a ratio scale since it has an absolute zero.
Since the dosage is given in multiples of 50mg, it is a discrete variable.
(d)Since the psychologist seeks to manipulate the conditions of the study by introducing Omega-3 to some of the participants and placebo to other participants, it is an experimental distribution.
Answer:
Step-by-step explanation:
<em>Refer to attached picture</em>
- The height = h
- Angles of elevation 22.6° and 38.3°
- Closer distance = d
<u>Use tangent to solve</u>
- tan 22.6° = h/(d + 17) ⇒ h = (d + 17) tan 22.6° ⇒ h = 0.42(d + 17)
- tan 38.3° = h/d ⇒ h = d tan 38.3° ⇒ h = 0.79d
<u>Compare the equations above and find the value of d:</u>
- 0.42(d + 17) = 0.79d
- 0.42d + 7.14 = 0.79d
- 0.79d - 0.42d = 7.14
- 0.37 d = 7.14
- d = 7.14/0.37
- d = 19.3 m
<u>Now find the value of h:</u>
- h = 0.79d
- h = 0.79*19.3
- h = 15
Wave Rock is 15 m tall
