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Elenna [48]
3 years ago
13

A person can order a new car with a choice of 13 possible colors, with or without air conditioning, with or without automatic tr

ansmission, with or without power
windows, and with or without a CD player. In how many different ways can a new car be ordered with reg
There are
different ways that a new car can be ordered.
Enter your answer in the answer box.
Mathematics
1 answer:
Gnoma [55]3 years ago
3 0

Answer:

208

Step-by-step explanation:

13 options for colours = 13C1 = 13

AND

2 options for A/C = 2C1 = 2

AND

2 options for transmission = 2C1 = 2

AND

2 options power windows = 2C1 = 2

AND

2 options for CD player = 2C1 = 2

So,

13×2×2×2×2 = 208

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What Happens to the value of the expression 100 minus X as X increases
Marta_Voda [28]

Step-by-step explanation:

if f (x) = 100 - x;

as x increases, the value of f(x) will decrease

8 0
2 years ago
Read 2 more answers
find the equation of a line that passes through (-3,1) and (-1,-2) and write it in standard form. please help me !
Savatey [412]
Find the slope first
slope=(2-1)/(-1+3)=1/4=.25

now use the slope and either point to write in point slope form
y-1=.25(x-2)
y-1=¼x-½

to rationalize all the denominators multiply by the last common multiple, here we get 4
4y-4=x-2

then put in the correct order

x-4y=-2
8 0
3 years ago
The half-life of caffeine in a healthy adult is 4.8 hours. Jeremiah drinks 18 ounces of caffeinated
statuscvo [17]

We want to see how long will take a healthy adult to reduce the caffeine in his body to a 60%. We will find that the answer is 3.55 hours.

We know that the half-life of caffeine is 4.8 hours, this means that for a given initial quantity of coffee A, after 4.8 hours that quantity reduces to A/2.

So we can define the proportion of coffee that Jeremiah has in his body as:

P(t) = 1*e^{k*t}

Such that:

P(4.8 h) = 0.5 = 1*e^{k*4.8}

Then, if we apply the natural logarithm we get:

Ln(0.5) = Ln(e^{k*4.8})

Ln(0.5) = k*4.8

Ln(0.5)/4.8 = k = -0.144

Then the equation is:

P(t) = 1*e^{-0.144*t}

Now we want to find the time such that the caffeine in his body is the 60% of what he drank that morning, then we must solve:

P(t) = 0.6 =  1*e^{-0.144*t}

Again, we use the natural logarithm:

Ln(0.6) = Ln(e^{-0.144*t})

Ln(0.6) = -0.144*t

Ln(0.6)/-0.144 = t = 3.55

So after 3.55 hours only the 60% of the coffee that he drank that morning will still be in his body.

If you want to learn more, you can read:

brainly.com/question/19599469

7 0
2 years ago
What is 2 ÷ <br> 1<br> 6<br> ?<br><br> StartFraction 1 Over 12 EndFraction<br> 2<br> 6<br> 12
nexus9112 [7]

Answer:

0.125

Step-by-step explanation:

I calculated 2 divided by 16, and got 0.125.

5 0
2 years ago
Stefan purchases materials to make dog collars. Stefan purchases 10 buckles in a pack and 12 straps in a pack. Stefan doesn't wa
CaHeK987 [17]

Answer:

No

Step-by-step explanation:

Assuming it take 1 buckle and 1 strap per collar, that means we just need to find the lowest common multiple of these 10-pack buckles and 12-pack straps.

For 10: 0, 10, 20, 30, 40, 50, "60", 70, 80, 90, 100...

For 12: 0, 12, 24, 36, 48, "60", 72, 84, 96, 108, 120...

From this, it is obvious that 60 is the lowest common multiple of these two numbers. Therefore, we know that Stefan can make dog collars without having leftover supplies by using 6 10-pack buckles and 5 12-pack straps.

From this, we know that Stefan does not need to buy 120 of either the buckles or the straps.

5 0
3 years ago
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