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Nimfa-mama [501]
3 years ago
5

I NEED HELP WITH THIS PLEASE HELP ME

Mathematics
1 answer:
vekshin13 years ago
3 0

Answer:

156 minutes

Step-by-step explanation:

So we need to create an equation to represent how Frank's phone company bills him

  • I will denote "y" as the total for his bill
  • I will denote "x" as the number of minutes Frank uses

So the phone company charges an $8 monthly fee, so this value remains constant and will be our "y-intercept"

They then charge $0.06 for every minute he talks, this will be our "slope"

Combining everything into an equation, we have: y = 0.06x + 8

Now since we were given Franks phone bill total and want to figure out how many minutes he used, we just need to solve the equation for x and plug in our known y value

  • y = 0.06x + 8 → y - 8 = 0.06x → x=\frac{y-8}{0.06}
  • Then plugging in our y value we get x=\frac{17.36-8}{0.06}=\frac{9.36}{0.06}= 156

Frank used up a total of 156 minutes

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What is the standard form of this complex number? (24-10i)-(43+18i)
Yuki888 [10]

Answer:

-19-28i

Step-by-step explanation:

Simplify and write the answer in standard form, a+bi.

6 0
3 years ago
Bruce bought a map that cost $7.35 he used a $10 bill to pay for his map what is the change
ankoles [38]
$2.65

You can get this by subtracting the 7.35 from the 10. 

10 - 7.35 = 2.65
3 0
3 years ago
slader Suppose that 8% of all bicycle racers use steroids, that a bicyclist who uses steroids tests positive for steroids 96% of
d1i1m1o1n [39]

Answer:

P = 0.4812

Step-by-step explanation:

First, we need to use here two expressions and then do the calculations.

The first one is the conditional probability which is:

P(B|A) = P(A∩B)/P(A)   (1)

The second expression to use has relation with the Bayes's theorem which is the following:

P(D|C) = P(C|D)*P(D) / P(C|D)*P(D) + P(C|d)*P(d)   (2)

Now, the expression (2) is the one that we will use to calculate the probability of a selected random bicyclist who tests positive for steroids.

So, in this case, we will call C for positive and D that is using steroids and d is the opposite of d, which means do not use steroids.

Then, the probabilities are the following:

P(D) = 8% or 0.08

P(C|D) = 96% or 0.96

P(C|d) = 9% or 0.09

P(d) = 1 - 0.08 = 0.92

With these data, let's replace in expression 2

P(D|C) = 0.96 * 0.08 /0.96 * 0.08 + 0.09*0.92

P(D|C) = 0.0768 / 0.1596

P(D|C) = 0.4812 or 48.12%

8 0
3 years ago
I kinda need some help as soon as possible I'll give you 20 points
Shtirlitz [24]

Answer:

x= 5

Step-by-step explanation:

20x=100

divide 100 by 20

x=5

8 0
3 years ago
Luis has saved $6. He doubles the amount he saves each week.Does this represent an exponential function?Complete: this______ rep
Gre4nikov [31]

Answer:

This does represent an exponential function , because his savings increase by a constant rate

Step-by-step explanation:

Let

x -----> the number of weeks

y ----> the amount saved

In this problem we have a exponential function of the form

y=a(b)^{x}

where

a is the initial value

b is the base

r is the rate of change

where

a=\$6

r=100\%=100/100=1 ---- because he doubles the amount each week

b=1+r ----> b=1+1=2

substitute

y=6(2)^{x}

therefore

This does represent an exponential function , because his savings increase by a constant rate

8 0
3 years ago
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