Logarithms:


A law was established, in which it considers that a driver who has more than 0.8 grams of alcohol per liter of blood, is in a state of drunkenness. It is estimated that the risk that a person has of suffering an accident when driving a vehicle under the influence of alcohol is given by the expression [tex]R(x) = 6 * e^{kx}[/tex] , where R(x) is the risk expressed as probability, X is the concentration of alcohol in the blood and K a constant:


A) Calculate the value of the constant K knowing that the concentration of 0.04 g / L of alcohol in the blood (x = 0.04) corresponds to an accident risk of 10% (R = 10)


B) A person who, according to the Law, drives while intoxicated, that is to say 0.8 g / L in blood, what are the risks of suffering an accident?


C) If a driver is under the influence of alcohol, that is 0.3 g / L, what is the risk of having an accident?

(Develop each one step by step)

Answers

Answer 1

Answer:

A) k = 18.75B) R(0.8) = 161419C) R(0.3) = 275

Step-by-step explanation:

Given expression

R(x) = 6*e^(kx)

A) Given

x = 0.04R = 10

Solving for k

10 = 6*e^(0.04k)e^(0.04k) = 10/6ln (e^0.04k) = ln (1.6666)0.04k = 0.51k = 0.51/0.04k = 12.75

B) Given

x = 0.8R= ?

The value of R(0.8) is:

R(0.8) = 6*e^(0.8*12.75) =6*e^(10.2) = 161419  rounded

C) Given

x = 0.3R = ?

The value of R(0.3) is:

R(0.3) =6*e^(0.3*12.75) = 6*e^(3.825) =275 rounded

Related Questions

Which of the following is the correct factorization of the polynomial below 2X squared -16 X +32

Answers

Answer:

it depends what you mean but if you taking out the gcf its 2(x^2-8x+16)

but if you mean like quadratic formula its (2x-8)(x-4) and if you wanna do the extra step to symplify that its 2(x-4)(x-4).

Answer:2(x-4)^2

Step-by-step explanation:

Help me?? Anyone I'll vote brainliest and everything 5 stars!! :)

Answers

Answer: y - 3 = -1/5(x+5)

Step-by-step explanation:

Hope this helps

60 POINTS!!!


10. Which of the following tables represents a function where f(4) = 6 and f(−1) = −4 ?

A. x...
f of x...
zero... two....
four... six...
six... eight...
A.

B. x...
f of x...
negative one... negative four...
zero... zero...
two... eight...
B. , , ,

C. x...
f of x...
negative four... negative ten...
negative one... negative four...
six.... ten....
C. , ,

D.

Answers

Answer:

idek

Step-by-step explanation:

can you take a picture of it so can help??

what is the scale factor of the dilation

Answers

Answer:

Step-by-step explanation:

well it got 3 bigger and expanded by 3 both vertically and horizontally

Computisional Science

Answers

Answer:

Computational science is a discipline concerned with the design, implementation and use of mathematical models to analyse and solve scientific problems. Typically, the term refers to the use of computers to perform simulations or numerical analysis of a scientific system or process.

Step-by-step explanation:

(a) Which of the following expresses the zero product property formally using quantifiers and variables? ∀ real numbers x and y, if xy = 0 then x = 0 and y = 0. ∀ real numbers x and y, if x = 0 and y = 0 then xy = 0. ∀ real numbers x and y, if x = 0 or y = 0 then xy = 0. ∀ real numbers x and y, if xy = 0 then x = 0 or y = 0. (b) Which of the following is the contrapositive of the zero product property? ∀ real numbers x and y, if x ≠ 0 or y ≠ 0 then xy ≠ 0. ∀ real numbers x and y, if xy ≠ 0 then x ≠ 0 or y ≠ 0. ∀ real numbers x and y, if x ≠ 0 and y ≠ 0 then xy ≠ 0. ∀ real numbers x and y, if xy ≠ 0 then x ≠ 0 and y ≠ 0. (c) Which of the following is an informal version (without quantifier symbols or variables) for the contrapositive of the zero product property? For any two real numbers, if at least one of them is nonzero then their product is nonzero. If the product of two real numbers is nonzero, then both numbers are nonzero. If the product of two real numbers is nonzero, then neither number is zero. If neither of two real numbers is zero, then their product is nonzero.

Answers

Answer:

A) ∀ real numbers x and y, if xy = 0 then x = 0 or y = 0.

B)  ∀ real numbers x and y, if xy ≠ 0 then x ≠ 0 and y ≠ 0.

c) If neither of two real numbers is zero, then their product is nonzero

Step-by-step explanation:

A) Expression of zero product property using quantifiers and variables

    ∀ real numbers x and y, if xy = 0 then x = 0 or y = 0.

B)  Contrapositive of the zero product property

     ∀ real numbers x and y, if xy ≠ 0 then x ≠ 0 and y ≠ 0.

C) The Informal version (without quantifier symbols or variables) for the contrapositive of the zero product property is : If neither of two real numbers is zero, then their product is nonzero

   

what is 5 to the power of 10

Answers

Answer:9,765,625

Step-by-step explanation: 5x5x5x5x5x5x5x5x5x5x=5^10

hopefully this helps

Answer:

The answer is 100,000

Step-by-step explanation:

You need to add 5 0's behind the 1 so you can get the answer.

pls help me with this​

Answers

what are the directions?

help me please i’m stuck, thank you

Answers

Answer:

the answer is D. 8

Step-by-step explanation:

2x+14=3x+6

14=x+6

8=x

D

answer is: D. 8

helped my sister on this problem

Plssssss answer thjs quet

Answers

Answer:

I’m. Not really good at math but I think its b

Step-by-step explanation:

Company A charges a $100 annual fee plus a $9/hr car share fee. Company B
charges $120 plus $7/hr. What is the minimum number of hours that a car
share needs to be used per year to make Company B a better deal?
O A. 11
O B. 10
O C. 12
O D. 9

Answers

Answer:

A.11

Step-by-step explanation:

i think 11 hours is the minimum number of hours that a car share needs to be used per year because it might also make Company B a more stabilized deal.

Answer:

A, 11

Step-by-step explanation:

Explanation: if you ignore the annual and just multiply both hourly by 10 and add the annually after they are both equivalent to 190 and since B costs less from 11 hours and beyond B will cost less.

Help me pls i give brainliest

Answers

Answer:

away from the origin at a decreasing velocity

Step-by-step explanation:

I think this is right.

I hope this helps! (✿◕‿◕✿)

Let ​f(x)=x2−18 and ​g(x)=17−x. Perform the composition or operation indicated.
f/g​(−8​)

Answers

Answer:

[tex]2x - 18 \div 17 - x = 2( - 8) - 18 \div 17 - ( - 8) \\ - 16 - 18 \div 17 + 8 \\ = - 34 \div 25[/tex]

Find the slope of the line passing
through (2,5) and (-3, -6).

Answers

Answer:

the slope of the line passing through the points (2,5) and (-3,-6) is 11/5

Step-by-step explanation:

(y2-y1)/(x2-x1)

(-6-5)/(-3-2)

-11/-5

11/5

A recipe requires 3/4 of a cup of milk for every 1 1/2 cups of flour how many cups of milk are needed for each cup of flour

Answers

Answer: 1/2 cup

Step-by-step explanation:

If there are 3/4 cup milk needed for every 1 1/2 cup of flour that means for every 1/2 cup of flour you’ll need 1/4 cup of milk. So for a whole cup of flour you’ll need 2/4 cup of milk which is equivalent to 1/2

Which is the correct answer?

Answers

i think the answer is B


Step 1: m2m+mZn +mzo = 180 degrees (sum of angles of a triangle)
Step 2: mp +mZo = 180 degrees (adjacent supplementary angles)
Step 3: Therefore, mZm+mZn+mZo=mZn + MZD Step 4: So.mZm+mZn=mZp
In which step did the student first make a mistake and how can i be corrected?
Step 1: it should be mZm+mZnam 2990 degrees (corresponding angles)
Step 1: I should be mm +mZn+mZo = 90 degrees (adjacent angles)
Step 3: t should be mZm+mZnm Zo=mZo-mZp Step 2. n should be mZo-mZo=90 degrees (complementary angles) -​

Answers

Answer:

mZo == mc+a3/3x + 9b == mZnam

Step-by-step explanation:

Hope i could help :)

3 different numbers which are all equivalent to 10

Answers

Answer:

2 4 6

Step-by-step explanation:

Can someone help me plzzz

Answers

Answer:

"i notice that for every one case they order there's 12 rolls in each case", "I wonder how many rolls is in half a case"

Step-by-step explanation:

thts what i would've put

what is the positive difference between 19&8?​

Answers

Answer:

11

Step-by-step explanation:

The positive difference between 19 and 8 is 11.

What is positive difference?

It is the value which is obtained when the smaller number is subtracted from the bigger number.

For given example,

We need to find the positive difference between 19 and 8.

here, 19 > 8

So, the smaller number = 8

the bigger number = 19

So, the positive difference would be,

19 - 8 = 11

Therefore, the positive difference between 19 and 8 is 11.

Learn more about difference here:

https://brainly.com/question/123448

#SPJ2

Determine if the conclusion that follows from the given statements below is valid. If valid which law was used?
1. if a number is a natural number then it is a whole number
2. if a number is a whole number then it is an integer
Conclusion : if a number is a natural number then it is an integer

Answers

Answer:

the conclusion is not valid

Answer: The conclusion is valid by the law of syllogism

The law of syllogism follows the basic form:

If P, then Q

If Q, then R

Therefore, if P then R

We can write it like this

[tex]P \to Q \\\\Q \to R\\\\\therefore P \to R[/tex]

We can think of it like starting at town P, moving to Q, then to R. Or we could go from P directly to R if we aren't worried about the town in the middle (town Q).

why is (4,1) not a solution to the equation y=3x+1

Answers

Answer:

When you plug in the coordinate into the equation, the equation becomes false.

Step-by-step explanation:

Step 1: Define

y = 3x + 1

(4, 1)

Step 2: Substitute and Evaluate

1 = 3(4) + 1

1 = 12 + 1

1 ≠ 13

Answer: plus x and y into the formula

Step-by-step explanation:

Four friends were making cards to sell at the holiday sale. Each friend made 9 cards. They put all their cards together and then bundled them in groups of 6 cards to sell. How many bundles of 6 cards did they make? Show all your work.

Answers

Answer:

6 bundles

Step-by-step explanation:

4 friends each made 9, so you multiply 4*9 to get 36

each bundle has 6, so divide 36 by 6. and get 6 bundles.

4*9=36

36/6=6

Answer:

they made a total of 6 bundles

Step-by-step explanation:

4×9=36

36÷6=6

IN THE CENTRAL CITY GRAND PRIX, OUT OF 50 CARS THAT STARTED THE RACE, 12
OF THEM FINISHED. WHAT PERCENT OF THE CARS FINISHED THE RACE? WHAT
PERCENT DID NOT FINISH THE RACE?
I need a step by step explanation please !!!

Answers

Answer:

24% finished, 76% did not

Step-by-step explanation:

12cars/50 total +24%, and then just subtract 100% by the 24 to get 76% for the remaining percent

Answer:

24% finished and 76% did not

Step-by-step explanation:

you have the ratios:

12/50 and 38/50

These have to be turned into percentages so they need to have a denominator of 100

to do this, figure out what you have to multiply the denominator by to get 100

In this case, 50 times 2 is equivalent to 100.

Then, whatever you multiplied the denominator by, you multiply the numerator by

In this case, 12 times 2 is 24 and 38 times 2 is 76

Once you have the end products, take the numerator and add a percentage sign to it

Chat me if you have anymore questions

If its -26 degree in Canada and 34 degrees in Australia what is the difference in temperature

Answers

Answer:

It would be 60 degrees

Step-by-step explanation:

You take the numbers and write the equation 34-(-26) to figure out the difference. You then change the signs, making it 34+26, as before you were subtracting a negative. If you complete that problem, you come to the conclusion of 60.

What is the value of f(5) if f(3)=10 and the rate of change over the interval 3≤x≤5 is 15?(1 point

f(5)=40

f(5)=20

f(5)=5

f(5)=10

Answers

The average rate of change of [tex]f(x)[/tex] over 3 ≤ x ≤ 5 is

[tex]\dfrac{f(5)-f(3)}{5-3}=15[/tex]

Solve for [tex]f(5)[/tex]:

[tex]\dfrac{f(5)-10}2=15[/tex]

[tex]f(5)-10=30[/tex]

[tex]\boxed{f(5)=40}[/tex]

Julio and Kyle hike along the same trail. Kyle hikes the first 6 miles in 2 hours. Who hikes more quickly?

Answers

How long is Julio hiking?


Which term gives the horizontal length of one cycle of a periodic function?
O amplitude
O period
O frequency
O phase shift

Answers

The period of a function is the horizontal length of one complete cycle. The period may also be described as the distance from one "peak" (max) to the next "peak" (max). This sine curve, y = sin x, has a period of 2π, the horizontal length of one complete cycle.

Answer: B period

Step-by-step explanation:

EDGE 2020

455 What is the minimum number of square marbles required to tile a floor of length 6 meter 24
cm. and width 4 meter 16 cm?
A. 6
B. 12
C. 14
D. 8​

Answers

Answer:

6

Step-by-step explanation:

Length of a floor, l = 6 m 24 cm = 624 cm

Breadth of a floor, b = 4 m 16 cm = 416 cm

We need to find the minimum number of square marbles required to tile the floor.

Taking factors of 624 and 416 by prime factorization :

624 = 2 x 2 x 2 x 2 x 3 x 13

416 = 2 x 2 x 2 x 2 x 2 x 13

Their HCF = 208

No of tiles length wise = 624/208 = 3

No of tiles width wise = 416/208 = 2

The minumum no of tiles needed = 3 × 2 = 6

Hence, 6 square tiles are required to tile a floor.

Write the rate as a unit rate. 4 inches of rain in 10 hours. (Inches per hour)

Answers

Answer:

0.4

Step-by-step explanation:

4/10

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