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amm1812
3 years ago
9

In an electric current, the voltage varies directly as the electric current, measured in amperes. If the voltage is 75 volts whe

n the current is 15 amps, find the voltage when the current is 10 amps.
Show all of your work.

Write the equation in slope-intercept form that passes through the points (1, 5) and (-3, 3). Be sure to show all of you work for every step.


Suppose f(x) = x^2 + 3x-2 and g(x) = x + 1
Find f(1), g(16) and f(3) + g(6)
Show all of your work.
Mathematics
1 answer:
dolphi86 [110]3 years ago
8 0

V=IR

75 = 15 *R

divide by R

75/15 =R

5 =R

V=IR

V = 10*5

V= 50 Volts


Write the equation in slope-intercept form that passes through the points (1, 5) and (-3, 3). Be sure to show all of you work for every step.


slope = (y2-y1)/(x2-1)

  = (3-5)/(-3-1)

m=(-2)/-4

m=1/2

point slope form

y-y1=m(x-x1)

y-5 = 1/2 (x-1)

distribute

y-5 = 1/2 x -1/2

add 5

y = 1/2 x -1/2 +5

y= 1/2 x + 4 1/2

this is slope intercept form  slope=1/2  intercept = 4 1/2  or 9/2


Suppose f(x) = x^2 + 3x-2 and g(x) = x + 1

Find f(1), g(16) and f(3) + g(6)

f (1) = 1^2 +3(1) -2

 = 1 +3-2

  =4-2

=2

g (16) =  16+1

        = 17

f(3) + g(6)  = 3^2 +3(3) -2 + 6+1

                 = 9+9 -2  + 7

             = 18 -2 +7

                 =16+7

                =23

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The brand name of a certain chain of coffee shops has a 53% recognition rate in the town of Coffeeton. An executive from the com
sukhopar [10]

Answer:

B) 0.287

Step-by-step explanation:

For each Coffeeton resident, there are only two possible outcomes. Either they recognize the brand name, or they do not. The probability of a resident recognizing the brand name is independent of other residents. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

53% recognition rate in the town of Coffeeton.

This means that p = 0.53

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This is P(X = 4) when n = 7. So

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B) 0.287

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