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antoniya [11.8K]
3 years ago
15

HELPPP quick math question

Mathematics
1 answer:
emmasim [6.3K]3 years ago
4 0

e^{-.15x}=.42

ln e^{-.15x}= ln (.42)

-.15x = ln(.42)

x = ln(.42)/-.15

x=5.78333718

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Charlie needs to drive to Dallas which is 240 miles. If he drives 60 miles
Eduardwww [97]

Answer:

4

Step-by-step explanation:

Since the question is asking how long will it take him if he has to drive 240 miles and he drives 60 mph, this can be interpreted as division.

Now that we have converted the words into math, we are really solving 240 ÷ 60 or \frac{240}{60}.

240 divided by 60 is the same as 24 divided by 6 because we can cancel the 0's.

Solving:

24 ÷ 6 = 4.

Thus, our answer is that it will take Charlie 4 hours to get to Dallas.

7 0
3 years ago
X+3y = 2
nalin [4]

Answer:

The value of "x" is 5.

Step-by-step explanation:

In order to solve this system of equations, we first have to take the first equation and use it to represent "y" in terms of "x". We do that in the following way...

x + 3y = 2\\3y = 2 - x\\y = \frac{2}{3} - \frac{x}{3}

Now, we need to take the second equation and substitute "y" for the equivalent value in terms of "x". After doing this we will get the following equation, which we can solve to get the value of "x".

4x - 3y = 23\\4x-3(\frac{2}{3} - \frac{x}{3}) = 23\\4x - 2 + x = 23\\5x - 2= 23\\5x = 25\\x = 5

Therefore, the value of "x" is 5.

8 0
3 years ago
Which system of linear inequalities is represented by the graph x+5y>5 y<2x+4
grandymaker [24]

Answer:

The lines represent the inequalities .

Further explanation:

The linear equation with slope m and intercept c is given as follows.

The formula for slope of line with points   and   can be expressed as,

Given:

The inequalities are as follows.

a. x – 5y < –5 and y < –2x – 4

b. x + 5y > 5 and y < 2x + 4

c. x – 5y < –5 and y < –2x + 4

d. x + 5y > 5 and y < 2x – 4

Step-by-step explanation:

The blue line intersects y-axis at , therefore the y-intercept is 4.

The blue line intersect the points that are  and .

The slope of the line can be obtained as follows.

The slope of the line is m = 2.

Now check whether the inequality included origin or not.

Substitute  in equation y=x+1.

0 is not greater than 1 which means that the inequality doesn’t include origin.

Therefore, the blue line is y < 2x + 4.

The orange line intersects y-axis at , therefore the y-intercept is 1.

The orange line intersect the points that are  and  .

The slope of the line can be obtained as follows.

The slope of the line is m =  .

Now check whether the inequality included origin or not.

Substitute  in equation y > .

0 is not greater than 1 which means that the inequality doesn’t include origin.

Therefore, the orange line is y > .

Solve the equation y > .

The equation of orange line is 5y + x > 5.

Option (a) is not correct as it satisfy the inequalities of the graph.

Option (b) is correct as it satisfy the inequalities of the graph.

Option (c) is not correct as it satisfy the inequalities of the graph.

Option (d) is is not correct as it satisfy the inequalities of the graph.

Hence,  is correct.

7 0
3 years ago
Read 2 more answers
How many centimeters are in 15 meters
pav-90 [236]

15 x 100= 1500 centimeters

4 0
3 years ago
Read 2 more answers
A parallelogram has sides of length 19 mm, 19 mm, and 7 mm. What is the length of the fourth side of the parallelogram? Enter yo
liberstina [14]

Answer:

7mm

Step-by-step explanation:

A parallelogram has 2 sets of equal sides, so if one side is 7mm, then the opposite side is too.

5 0
3 years ago
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