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3 years ago

Write and solve an equation to find the value of each variable

Mathematics

1 answer:

yan [13]3 years ago

3 0

Check the picture below.

as you can see in the picture, the "near arc" is x°, and the "far arc", is the leftover from subtracting the arc of 120° and x°, therefore then

$\bf 44=\cfrac{\stackrel{far~arc}{(360-x-120)~~-~~\stackrel{near~arc}{x}}}{2}\implies 88=240-2x
\\\\\\
2x=152\implies x=\cfrac{152}{2}\implies x=76$

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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

The expression “5 factoral” equals:? Answers- 125 120 25 10 Need help ASAP

VLD [36.1K]

Answer:

120

hope it helps!!

5 0

3 years ago

Find the inverse function of m(x) = 5x - 5 A m-1(x) = 5x + 5 B m-1(x) = -5x + 5 C m-1(x) = x+5/5 D m-1(x) = x+5/-5x

bogdanovich [222]

Hi there!

$m(x) = 5x - 5$
First replace m(x) by y.

$y = 5x - 5$
To find the inverse function we must switch the places from the variables x and y.

$x = 5y - 5$
Now we need to isolate the y again to find the formula of the inverse function. First add 5 to both sides.

$x + 5 = 5y$
Switch sides.

$5y = x + 5$
And finally divide both sides by 5.

$y = \frac{x + 5}{5}$
And therefore we can conclude the following:

$m {}^{ - 1} (x) = \frac{x + 5}{5}$
The answer is C.
~ Hope this helps you!

6 0

3 years ago

Read 2 more answers

Help please.......Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

maxonik [38]

Answer:

The cost of 1 dozen doughnut is $6 and the cost of a dozen croissant is $10.

Step-by-step explanation:

We know that:

D = Cost of a dozen doughnut
C = Cost of a dozen croissant
10D + 7C = 130
6D + 4C = 76

Work:

10D + 7C = 130

6D + 4C = 76

4(10D + 7C = 130)

7(6D + 4C = 76)

40D + 28C = 520

42D + 28C = 532

40D - 42D = 520 - 532
=> -2D = -12
=> 2D = 12
=> D = 6

Now, let's substitute the value of D into the first equation.

10D + 7C = 130
=> 10(6) + 7C = 130
=> 60 + 7C = 130
=> 7C = 70
=> C = 10

Hence, the cost of 1 dozen doughnut is $6 and the cost of a dozen croissant is $10.

Hoped this helped.

$BrainiacUser1357$

4 0

3 years ago

It costs $6 per pound for peanuts at blessed food market.which of the following represents the range of the function in terms of

Pani-rosa [81]

This would be like
1=6 2=12 3=18 4=24
putting this in a graph this would look like
1 2 3 4
6 12 16 24

4 0

3 years ago