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2 years ago

Which exponential equation is equivalent to the logarithmic equation below? c = ln 2

Mathematics

2 answers:

krok68 [10]2 years ago

6 0

e^c=2

Step-by-step explanation:

ololo11 [35]2 years ago

5 0

1. To solve this problem, you need to remember that an exponential function has the following form:

f(x)=a^x

"a" is the base and "x" is the exponent.

2. It is important to know that the logarithmic functions and the exponential functions are inverse. Then, you have:

c=ln2
e^c=e^(ln2)
e^c=2

3. Therefore, the answer is:

e^c=2

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A scientist estimated that a mixture would need 6 milliliters of a chemical to balance. The actual amount needed was 7 millilite

Mashcka [7]

Percent relative error is calculated by the formula: (experimental value - literature value/ experimental value) x 100%

Therefore, (6-7/7) x 100% = 14.3%
Your answer is in absolute value :)

6 0

3 years ago

Which data set has the widest spread? A. data set A: 1, 1, 2, 1, 2, 1 B. data set B: 2, 2, 4, 4, 3, 3 C. data set C: 1, 1, 2, 2,

OlgaM077 [116]

Answer:

Step-by-step explanation:

4 0

2 years ago

Sara plotted the locations of the trees in a park on a coordinate grid. She plotted an oak tree which was in the middle of the p

padilas [110]

Answer: $10.2\ yards$

Step-by-step explanation:

<h3> "Sara plotted the locations of the trees in a park on a coordinate grid. She plotted an oak tree, which was in the middle of the park, at the origin. She plotted a maple tree, which was 10 yards away from the oak tree, at the point (10,0) . Then she plotted a pine tree at the point (-2.4, 5) and an apple tree at the point (7.8, 5) What is the distance, in yards, between the pine tree and the apple tree in the</h3><h3>park?"</h3>

For this exercise you need to use the following formula, which can be used for calculate the distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

In this case, you need to find distance, in yards, between the pine tree and the apple tree in the park.

You know that pine tree is located at the point (-2.4, 5) and the apple tree is located at the point (7.8, 5).

So, you can say that:

$x_2=-2.4\\x_1=7.8\\\\y_2=5\\y_1=5$

Knowing these values, you can substitute them into the formula and then evaluate, in order to find the distance, in yards, between the pine tree and the apple tree in the park.

This is:

$d=\sqrt{(-2.4-7.8)^2+(5-5)^2}=10.2\ yards$

8 0

2 years ago

9x−9y=0 3x−4y=10 solve by elimination

NikAS [45]

Answer:

(-10,-10)

Step-by-step explanation:

9x-9y=0

3x-4y=10

In elimination, we want both equations to have the same form and like terms to be lined up. We have that. We also need one of the columns with variables to contain opposites or same terms. Neither one of our columns with the variables contain this.

We can do a multiplication to the second equation so that the first terms of each are either opposites or sames. It doesn't matter which. I like opposites because you just add the equations together. So I'm going to multiply the second equation by -3.

I will rewrite the system with that manipulation:

9x-9y=0

-9x+12y=-30

----------------------Add them up!

0+3y=-30

3y=-30

y=-10

So now once you find a variable, plug into either equation to find the other one.

I'm going to use 9x-9y=0 where y=-10.

So we are going to solve for x now.

9x-9y=0 where y=-10.

9x-9(-10)=0 where I plugged in -10 for y.

9x+90=0 where I simplified -9(-10) as +90.

9x =-90 where I subtracted 90 on both sides.

x= -10 where I divided both sides by 9.

The solution is (x,y)=(-10,-10)

3 0

2 years ago

4times 1 1/5 as a product of a mixed number

natka813 [3]

The answer is 24/5 or 4 4/5 but if it is 11 on 5, the answer would be 44/5 or 8 4/5

7 0

3 years ago