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fgiga [73]
3 years ago
10

Find the remainder when 2^1990 is divided by 1990.

Mathematics
1 answer:
german3 years ago
5 0
I am only in middle school, this question is for college. sorry
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Write an equation of a line in point-slope, slope-intercept, and standard form that has
Inga [223]

Answer:

(a) y + 4x - 14 = 0

(b) y = -4x + 14

(c) y + 4x = 14

Step-by-step explanation:

The formula for calculating the equation of line in point - slope form is given as :

y-y_{1}  = m(x-x_{1} )

where m is the slope

Given from the question :

m = - 4

x_{1} = 2

y_{1} = 6

Substituting into the formula , we have :

y - 6 = - 4(x - 2)

y - 6 = -4x + 8

y + 4x - 6 - 8 = 0

y + 4x - 14 = 0

Therefore :

(a) the equation of the line in point - slope form is y + 4x - 14 = 0

(b) to write it in slope - intercept form , we will make y the subject of the formula , which will give : y = -4x + 14

(c) the equation of line in standard form is ; y + 4x = 14

5 0
2 years ago
Evaluate e/4 +2f when e=12 and f =1/2
allochka39001 [22]
12/4 = 3 + 2x 1/2
Divide and then multiply and your answer will be 4
5 0
2 years ago
Use the substitution method to solve the system of equations. Choose the correct ordered pair.
Reptile [31]

Answer:


Step-by-step explanation:

B.(10,1)

4 0
2 years ago
DG¯¯¯¯¯¯ , EG¯¯¯¯¯ , and FG¯¯¯¯¯ are perpendicular bisectors of the sides of △ABC . DG=5 cm and BD=12 cm.
jonny [76]
Given that <span>DG, EG, and FG are perpendicular bisectors of the sides of △ABC, this means that the point of intersection, G, is the circumcenter of the triangle and hence A</span><span>G, BG, and CG are equal.

Given that </span><span>DG = 5 cm and BD = 12 cm, then

BG= \sqrt{DG^2+BD^2}  \\  \\ = \sqrt{5^2+12^2} = \sqrt{25+144}  \\  \\ = \sqrt{169} =13

Since AG = BG = CG, therefore, CG = 13 cm.</span>
3 0
3 years ago
During a flu epidemic, 35% of the school's students have the flu. Of those with the flu, 90% have high
frutty [35]

Answer: 0.8015

Step-by-step explanation:

Let F= event that a person has flu

H= event that person has a high temperature.

As per given,

P(F) =0.35

Then P(F')= 1- 0.35= 0.65               [Total probability= 1]

P(H | F) = 0.90

P(H|F') = 0.12

By Bayes theorem, we have

P(F|H)=\dfrac{P(F)\timesP(H|F)}{P(F)\timesP(H|F)+P(F')\timesP(H|F')}\\\\=\dfrac{0.35\times0.90}{0.35\times0.90+0.65\times0.12}\\\\=\dfrac{0.315}{0.315+0.078}\approx0.8015

Required probability = 0.8015

8 0
3 years ago
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