a line has the equation 8x-2y=24 in standard form.Rewrite the equation of the line in slope intercept form.Then report the slope and y intercept.

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Answer 1
Answer: 8x-2y=24
-8x     -8x
-2y=-8x+24
----- ---- ----
  -2   -2   -2
y=4x-12

slope: 4
y-intercept: -12


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A regular number cube is rolled. What is the probability that a 3 will not be rolled?1. 1/6
2. 1/2
3. 4/5
4. 5/6

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5/6
a normal cube has 6 numbers and 3 is 1/6 so 6/6-1/6=5/6

Sin43×cos47+cos47×sin43

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sin(α + β) = sin(α)cos(β) + cos(α)sin(β) 

sin43×cos47+cos47×sin43 = sin(43 + 47) 

= sin(90) = 1

The first term of a sequence is 3 and the common ratio is 3. The sequence is:

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Answer:

6..........................

I don't get it , can someone help me

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The problem is asking for the surface area of a cylinder.
The formula for surface area of a cylinder is A = 2πrh+2πr²
radius = 1.5
height = 4

A = 2π(1.5)(4)+2π(1.5)²
A ≈ 51.84 in²

Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan’s father and paternal grandfather were allergic to penicillin, Nathan had a 75% chance of having the same allergy. The doctor performed a skin test to see whether Nathan would react to it. The test is 98% accurate. What is the probability that Nathan is allergic to penicillin and the test predicts it?0.005

0.015

0.245

0.735

Answers

Answer:

Option C is right answer

Step-by-step explanation:

Given that Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan’s father and paternal grandfather were allergic to penicillin, Nathan had a 75% chance of having the same allergy. The doctor performed a skin test to see whether Nathan would react to it. The test is 98% accurate.

Probability that Nathan is allergic to pennicillin and the test predicts it

=Prob (Nathan is allergic)*P(test predicts it correct)

= 0.75(0.98)

=0.245

Answer:

0.735

Step-by-step explanation:

plato

The start of an arthmetic sequence is show Below. a) Work out the n term rule for this sequence. b) Work out the 30 term in this sequence. 4,13,22,31

Answers

Step-by-step explanation:

Each term is 9 more than the previous term....the common difference, d = 9

an = a1 + 9(n-1)     where a1 is the first term = 4

  this reduces to:   an = 4 + 9n-9

                                an = 9n - 5

the 30th term is then     a30 = 9(30) - 5 = 265