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liq [111]
2 years ago
10

Write the equation of the line that

Mathematics
1 answer:
zlopas [31]2 years ago
8 0

Answer:

y=-1/2x+2

Step-by-step explanation:

First, the slope of perpendicular line have negative reciprocal coefficients. In this case the coefficient is 2, The reciprocal of 2 is 1/2 and the negative of 1/2 is -1/2. So x will have a coefficient of -1/2.

Second, find the equation with a slope of -1/2 that passes through (-2,3). There are a few ways to do this. I like to plug the given x value into the expression -1/2x, so -1/2(-2) which equals positive 1 and for the line to pass through the point (-2,3) you need to add 2. So: y=-1/2x+2

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A cognitive psychologist would like to evaluate the claim that the omega-3 fatty acids can help improve memory in normal adult h
bogdanovich [222]

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.

5 0
3 years ago
Travis owns a stock in the SBO Company. after the first year of ownership the stock is worth $45 per share. travis estimates tha
Roman55 [17]
<span>1st year value =45$ 2nd year value=45+2.80$=47.80$ 3rd year value=47.8+2.80$=50.60$ 4th year value=50.60+2.80=53.40$ 5th year value=53.40+2.80=56.20$ ater 5 years value of share becomes 56.20$ or share after 5 years= 45+4*2.80=45+11.20=56.20$</span>
5 0
3 years ago
Pls help plsplsplsplsplsplspspslpssplsplsplspslpslpslsplspsps
Ainat [17]

Answer:

<em>Option A, Option C, Option E</em>

Step-by-step explanation:

The area of a kite can be identified through 1 / 2 of the multiplication of each diagonal. The first diagonal is equivalent to the addition of 50 cm and 10 cm, while the second is of length 20 cm + 20 cm.

1 / 2 * ( 50 + 10 ) * ( 20 + 20 ),\\1 / 2 * ( 60 ) * ( 40 ),\\( 30 ) * ( 40 ),\\\\Area of Kite = 1200 square cm

Consider the first option. If we take a look at the bit 2 * ( 1 / 2 * 20 * 50 ) the 2 and 1 /2 cancel each other out, leaving you with 20 * 50 = 1000 . Respectively in the expression 2 * ( 1 / 2 * 20 * 10 ) the 2 and 1 / 2 cancel each other out, leaving you with 20 * 10 = 200;

1000 + 200 = 1200 square cm,\\Option A - Correct!

The second option considers the expression 2 * ( 1 / 2 * 20 * 60 ). Again, the 2 and 1 / 2 cancel each other out, leaving you with 20 * 60;

20 * 60 = 1200 square cm,\\Option B - Correct!

Option C is a similar version of option a, besides the fact that the 1 / 2 doesn't exist. Thus, Option C is incorrect!

Option D is a similar version of option a as well, but as the 2 doesn't exist, it is incorrect!

This last option, option E is taken as 1 / 2 of the multiplication of the diagonals, and thus is correct!

1 / 2 * ( 40 * 60 ),\\1 / 2 * ( 2400 ),\\1200 square cm\\\\Correct!

4 0
3 years ago
A scatter plot containing the point (12, 12) has the regression equation yˆ=14x+1 .
Gwar [14]
Y(hat) = 14x + 1
y(hat) = 14(12) + 1
y(hat) = 168 + 1
y(hat) = 169
Residual = y - y(hat)
12 - 169
Res = - 157
4 0
3 years ago
Read 2 more answers
Help me please I really need it
Salsk061 [2.6K]

Answer:

4?

Step-by-step explanation:

So, at from x 0 to x 2, y goes up 4

7 0
3 years ago
Read 2 more answers
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