If e^6x = 18, then x =

If E^6x = 18, Then X =

Answers

Answer 1

Answer:

\(x=\frac{18}{e^6}\)

Step-by-step explanation:

\(\mathrm{Divide\:both\:sides\:by\:}e^6\)

\(\frac{e^6x}{e^6}=\frac{18}{e^6}\)

\(\mathrm{Simplify}\)

\(x=\frac{18}{e^6}\)

Final Answer: \(x=\frac{18}{e^6}\) or \(\left(\mathrm{Decimal}:\quad x=0.04461\dots \right)\)

Answer 2

Answer:

Step-by-step explanation:

\(e^{6x} \) = 18

\(e^{6x} \) = \(e^{ln18} \)

6x = ln 18

x = \(\frac{ln18}{6} \) ≈ 0.48


Related Questions


Sarah paid $27.50 for 2 shirts. Each shirt costs the same amount.
Let n equal the cost of one new shirt.
• Create an equation that can be used to find the cost, in dollars, of n shirts.
• What is the cost of one shirt? $13.75

What is the equation??

Sarah paid $27.50 for 2 shirts. Each shirt costs the same amount.Let n equal the cost of one new shirt.

Answers

Answer:

27.50 divided by 2

Find m2ABC.
Ad
37°
21°
B
m/ABC =
C

Find m2ABC.Ad3721Bm/ABC =C

Answers

Answer:

it might be 58 , just look it up I don't really know

\(\bold{ANSWER:}\)
58

\(\bold{EXPLANATIONS:}\)
Find m2ABC.Ad3721Bm/ABC =C

What is the value of (32 + 1)">

Answers

Answer:

yes

Step-by-step explanation:

Answer:

i have gotten 160.5

Step-by-step explanation:

Kaylib’s eye-level height is 48 ft above sea level, and Addison’s eye-level height is 85 and one-third ft above sea level. How much farther can Addison see to the horizon? Use the formula d = square root 3h/2, with d being the distance they can see in miles and h being their eye-level height in feet.

Answers

Answer is \(2\sqrt{2}\) mi

Given,

Kaylib’s eye-level height is 48 ft

Addison’s eye-level height is 85 and one-third ft above sea level.

From the formula d= \(\sqrt{3h/2}\),

get the difference as:

\(d=\sqrt{(3*(85+1/3))/2} - \sqrt{(3*48)/2}\)

=\(\sqrt{256/2} - \sqrt{3*24}\)

=\(\sqrt{128} - 6\sqrt{2}\)

=\(8\sqrt{2} - 6\sqrt{2}\)

d=\(2\sqrt{2}\)

Therefore, Addison sees \(2\sqrt{2}\)mi to the horizon

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I was doing math then I got this question wrong.

Why is C not on the y-axis, and why is b on y-axis.

I was doing math then I got this question wrong.Why is C not on the y-axis, and why is b on y-axis.

Answers

The options that correctly show the points of the given graph are;

Option 4: A is on the y-axis

Option 5; D is on the x-axis

How to interpret the axis of a graph?

Usually in mathematical equation graphs, the y-axis represents the range of the function which is a set of all possible output values for given input values . Whereas, the domain is usually represented on the x-axis and it shows the set of all possible input values of the function.

Now, from the given graph, we see the following;

A is on the y-axis

B is at the origin

C is at the point (1, 2)

D is on the x-axis

Looking at the options, we can tell that options 4 and 5 are correct representations of the given graph because they correctly denote the points on the x-axis and y-axis.

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Determine the values of x in the equation x2 = 64.

Answers

Answer = 32

Explain= When a variable(the letter next to the number in this case the “x”) is placed next two a coefficient(the number next to a variable, in this case “2”), that means the variable is being multiplied by that number. To solve for x, we must divide the sum of x2 (64) by the coefficient. The number will equal x.

x2=64? X = 32!

What is the measure of angle y

Answers

Answer:

In order to answer this question, you have to import and attachment to be more clear

Given

(

)
=

3
+



4
f(x)=x
3
+kx−4, and the remainder when

(

)
f(x) is divided by


3
x−3 is
5
5, then what is the value of

k?

Answers

Answer:

Step-by-step explanation:

Given

A frequency table for the 60 best batting averages from a baseball league is
shown below. Which of the following histograms best represents the data in
the table?

A frequency table for the 60 best batting averages from a baseball league isshown below. Which of the

Answers

The correct answer is Graph B

Explanation:

The purpose of histograms is to display visually the frequency of a variable. Additionally, a higher bar represents a higher frequency.

According to this, the correct histogram is graph B because in this the frequencies for each batting average are displayed correctly. For example, the highest bar is related to the average 0.330-0.339, which has the highest frequency (28), this is followed in height by the bar that represents a frequency of 24 and is related to the average 0.340-0.349.

At the same time, the averages 0.320-0.329 and 0.360-0.369 that have a frequency of 2 are represented through the shortest bars, while the average 0.350-0.359 with a frequency of 4 is related to a bar with exactly the double of heigh than those with a frequency of 2.

Answer:

graph B

Step-by-step explanation:

what happened to your screen

Let (a, 0) and (0, b) denote the x- and y-intercepts of any tangent line to the curve √ x + √y = √ c. Find the number c so that a + b = 10.

Answers

The value of c that satisfies the condition a + b = 10 is 10.

To find the value of c such that the sum of the x- and y-intercepts of any tangent line to the curve √x + √y = √c is equal to 10, we can use the fact that the x-intercept occurs when y = 0, and the y-intercept occurs when x = 0.

First, let's find the x-intercept. When y = 0, we can substitute this value into the equation:

√x + √0 = √c

Simplifying, we have:

√x = √c

Squaring both sides of the equation, we get:

x = c

So, the x-intercept is given by (c, 0).

Next, let's find the y-intercept. When x = 0, we can substitute this value into the equation:

√0 + √y = √c

Simplifying, we have:

√y = √c

Squaring both sides of the equation, we get:

y = c

So, the y-intercept is given by (0, c).

Since we want the sum of the x- and y-intercepts to be equal to 10, we have:

c + 0 = 10

Simplifying, we find:

c = 10

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Anne has 5 pints of milk and is planning to make 6 cakes to sell in fundraising. Each cake will require 112 cups of milk. Does she have enough milk to make the 6 cakes? If so, how many cups of milk will be left, and if not, how many extra cups of milk would she need?


Yes she has enough milk; She will have 1 extra cup of milk.


No she does not have enough milk; She will need 1 more cup of milk.


Yes she has enough milk; She will have 112 extra cups of milk.


No she does not have enough milk; She will need 412 extra cups of milk.

Answers

Answer:

Option (1)

Step-by-step explanation:

Each cake requires cups of milk = \(1\frac{1}{2}\) cups ≈ 1.5 cups

6 cakes will require milk = 6 × 1.5

                                         = 9 cups

Anne has milk = 5 pints

∵ 1 pint = 2 cups

∴ 5 pints = 10 cups

Therefore, Anne has milk = 10 cups

Extra amount of milk Anne has = 10 - 9 = 1 cup

Hence, Answer is yes, she has enough milk. She will have 1 extra cup of milk.

Option 1 will be the answer.

Chilling and dying

Spending lonely nights

Pandemic gotta go no cap, especially since it got me on this brainly app

Answers

that was straight bars my guy

Write an equation that represents a vertical shrink by a factor of 1/4 of the graph of g(x)=|x|.

h(x)=?

Answers

an equation that represents a vertical shrink by a factor of 1/4 of the graph of g(x)=|x| is y = |x|/4

What is vertical stretch/vertical compression ?

• A vertical stretch is derived if the constant is greater than one while the vertical compression is derived if the constant is between 0 and 1.

• Vertical stretch means that the function is taller as a result of it being stretched while vertical compress is shorter due to it being compressed and is therefore the most appropriate answer.

The y-values are multiplied by a value between 0 and 1, which causes them to travel in the direction of the x-axis. This is known as a vertical shrink and tends to flatten the graph. A point (a,b) on the graph of y=f(x) y = f (x) shifts to a point (a,kb) (a, k b) on the graph of y=kf(x) y = k f (x) in both scenarios.

The function g(x) is defined as |x|.

To vertically shrink the graph of g(x) by a factor of 1/4, divide the function by 4.

g(x) = f(x)/3

f(x) is equal to (|x|)/4.

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Which of the following have a value equal to |37|? Select all that apply.

A. –37

B. |–37|

C. 0

D. –(–37)

E. 37​

Answers

Answer:

B, D, and E are the correct answers

Step-by-step explanation:

The ones that apply are

B, D and E

Hope it helps!!

The figure below has a point marked with a large dot.
First, rotate the figure 270° clockwise about the origin.
Then, give the coordinates of the marked point in the original figure and the final figure.

The figure below has a point marked with a large dot.First, rotate the figure 270 clockwise about the

Answers

Answer:

( 5 , - 3 ) -------> ( 3 , 5 )

Step-by-step explanation:

The figure below has a point marked with a large dot.First, rotate the figure 270 clockwise about the

After the rotation of 270° clockwise about the origin, the coordinate will become (3, - 5).

What is image rotation?A rotation is a type of transformation which is a turn.A figure can be turned clockwise or counterclockwise on the coordinate plane.In both transformations the size and shape of the figure stays exactly the same.

Given is a figure rotated 270° clockwise about the origin.

The algebraic rule for a figure that is rotated 270° clockwise about the origin is -

(x, y) → (y, -x)

Initial point marked on the figure : (5, 3)

After the rotation, the points will be : (3, - 5)

Therefore, after the rotation of 270° clockwise about the origin, the coordinate will become (3, - 5).

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Q - Determinate the value of the following expression:
\(\frac{\sqrt{36} - \sqrt[3]{8} - \sqrt{144}}{\sqrt[3]{-64} + \sqrt[3]{125} } -1\)

Answers

The value of the given expression is - 9.

The square root of a number:

The square root of a number is a value that, when multiplied by itself, gives the original number.

For example, the square root of 25 is 5, because 5 x 5 = 25.

The symbol used to denote the square root of a number is √, and it is placed in front of the number.

For example, the square root of 25 can be written as √25.

Here we have  

\(\frac{ \sqrt{36} - \sqrt[3]{8} - \sqrt{144} }{\sqrt[3]{-64} \sqrt[3]{125}} - 1\)  

As w know,

36 = 6 × 6 = 6²

8 = 2 × 2 × 2 = 2³

144 = 12 × 12 = 12²  

-64 = - 4 × -4 × -4 = (-4)³

125 = 5 × 5 × 5 = 5³  

Hence, the above expression can rewrite as follows

\(\frac{ \sqrt{36} - \sqrt[3]{8} - \sqrt{144} }{\sqrt[3]{-64}+ \sqrt[3]{125}} - 1 = \frac{ \sqrt{ 6^{2} } - \sqrt[3]{ 2^{3} } - \sqrt{12^{2} } }{\sqrt[3]{ (-4)^{2} }+ \sqrt[3]{5^{3} }} - 1\)

=  \(\frac{ 6 - 2 - 12 }{ -4 + 5} - 1\)

=  \(\frac{ -8 }{ 1} - 1\)

= -9

Therefore,

The value of the given expression is - 9.

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Which function has a greater maximum?

(

)
=

2
(

+
4
)
2
+
1
f(x)=−2(x+4)
2
+1f, left parenthesis, x, right parenthesis, equals, minus, 2, left parenthesis, x, plus, 4, right parenthesis, squared, plus, 1
A coordinate plane. The x- and y-axes both scale by one. The graph is the function y equals g of x which is a parabola that opens down. The function increases through negative four, negative five and negative three, negative two. It has a maximum at negative two, one, then the function decreases through negative one, negative two and zero, negative five.

Answers

The function f(x) = \(-2(x+4)^2\) + 1 has a greater maximum.

1. The given function is f(x) = \(-2(x+4)^2\) + 1.

2. To find the maximum of the function, we need to determine the vertex of the parabola.

3. The vertex form of a quadratic function is given by f(x) = \(a(x-h)^2\) + k, where (h, k) represents the vertex.

4. Comparing the given function to the vertex form, we see that a = -2, h = -4, and k = 1.

5. The x-coordinate of the vertex is given by h = -4.

6. To find the y-coordinate of the vertex, substitute the x-coordinate into the function: f(-4) = \(-2(-4+4)^2\) + 1 = \(-2(0)^2\) + 1 = 1.

7. Therefore, the vertex of the function is (-4, 1), which represents the maximum point.

8. Comparing this maximum point to the information provided about the other function g(x) on the coordinate plane, we can conclude that the maximum of f(x) = \(-2(x+4)^2\) + 1 is greater than the maximum of g(x).

9. The given information about g(x) is not sufficient to determine its maximum value or specific equation, so a direct comparison is not possible.

10. Hence, the function f(x) =\(-2(x+4)^2\) + 1 has a greater maximum.

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Which of the following is equal to the expression x+4x/x^2-2x?
(1)2
(2)5/x-2
(3)x+2
(4)1+2x
(5)2x

Answers

Which of the following expression is equal to the following expression:
X + 4x / X^2 - 2x
= 5/X-2

The height of a pyramid is doubled, but its length and width are cut in half. What is true about the volume of the new pyramid?
The new pyramid has a volume that is One-fourth the volume of the original pyramid.
The new pyramid has a volume that is One-half the volume of the original pyramid.
The new pyramid has the same volume as the volume of the original pyramid.
The new pyramid has a volume that is 2 times the volume of the original pyramid.

Answers

Answer:

B.)The new pyramid has a volume that is One-half the volume of the original pyramid.

Step-by-step explanation:

got it right on test.

Answer:

B

Step-by-step explanation:

I got it correct

Hi, can you help me answer this question please, thank you

Hi, can you help me answer this question please, thank you

Answers

First, find the degrees of freedom.

\(df=n-1=53-1=52\)

The t-value of 52 degrees of freedom is 2.01.

Then, we use the following formula.

\(\bar{x}\pm t\cdot\frac{s}{\sqrt[]{n}}=71.6\pm2.01\cdot\frac{16.6}{\sqrt[]{53}}=71.6\pm4.6\)

Therefore, the confidence interval is

\(67\leq\mu\leq76.2\)

Answer:

Step-by-step explanation:

Enter a number in each blank M(x)=(2x-6)(x-4) true statements when M(x)=0 when x=

Answers

Answer:

{3, 4}

Step-by-step explanation:

"M(x)=(2x-6)(x-4) true statements when M(x)=0 when x= ?" asks us to find the "roots" of M(x); that is, the x values at which M(x) = 0.  Thus, we set

(2x - 6)(x - 4) = 0, which is equivalent to 2(x - 3)(x - 4) = 0.

Thus, x - 3 = and x = 3; also x - 4 = 0, so that x = 4.  

The roots of M(x) are {3, 4}

Using the language of the original problem:  "true statements when M(x)=0 when x="              the correct results, inserted into the blanks, are x = 3 and x = 4.

Can somone help me pls

Can somone help me pls

Answers

Answer:

A(Irwin)

C(Jose)

Step-by-step explanation:

Just add or subtract them to get an answer which is 45.62

show the steps you take and the final answer you get when you evaluate the expression.​

show the steps you take and the final answer you get when you evaluate the expression.

Answers

Answer:

28

Step-by-step explanation:

(4+5x)-x^2

(4+5(3))-3^2

(4+15)+9

19+9

28

A local hamburger shop sold a combined total of 762 hamburgers and cheeseburgers on Friday. There were 62 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Friday?

Answers

Answer:

Step-by-step explanation:

We have to come up with a system of equations in order to solve this because we have 2 unknowns: hamburgers and cheeseburgers. h is hamburgers and c is cheeseburgers. We know that both of these together totaled 762, so

h + c = 762

We also know that more cheeseburgers were sold than were hamburgers. 62 more cheeseburgers, to be exact. So the second equation is

c = h + 62.

Now we will sub that second equation into the first one and solve for h:

h + c = 762 becomes

h + h + 62 = 762 and

2h + 62 = 762 and

2h = 700 so

h = 350. So 350 hamburgers were sold and 762 - 350 is the number of cheeseburgers. 412 to be exact.

Express the sum of the angles of this triangle in two different ways.
X

1/2x

3/2x

Express the sum of the angles of this triangle in two different ways.X1/2x3/2x

Answers

The sum of the angles of the triangle expressed in two ways are x + 1/2x + 3/2x and 2x + x + 3x/2

How to determine the expression

It is important to note that the sum of the angles of a triangle is equal or equivalent to 180 degrees.

We have the angle measurements as;

x3/2x1/2x

Substitute the values

x + 1/2 x + 3/2x = 180

Find the lowest common multiple

2x + x + 3x /2 = 180

Add the numerators

6x/2 = 180

cross multiply

6x = 360

x = 60

Hence, the expression is x + 1/2x + 3/2x and 2x + x + 3x/2

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Almost a billion people on the planet don't have access to clean drinking water." if there were 7.8×10^9 people in the world in 2014, then approximately what percent of them lived without clean drinking water? round to the nearest tenth of a percent.

Answers

If almost a billion people on the planet don't have access to clean drinking water. The percent of them that  lived without clean drinking water is 12.82%.

How to find the Percentage of people without clean drinking water?

Given data:

Total number of people =  7.8×10^9

Number of people that lived without clean water = 1 billion

Number of people that lived without clean water = 1,000,000,000 = 1 × 10^9

So,

Percentage of people without clean water=  Number of people that lived without clean water  / Total number of people

Percentage of people without clean  water = 1 × 10^9 / 7.8×10^9 × 100

Percentage of people without clean water = 1/ 7.8 × 100

Percentage of people without clean water= 12.82%

Therefore 12.82% people lived without clean water.

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I need you guy’s help answer thanks so much

I need you guys help answer thanks so much

Answers

Answer:

B. 7i

Step-by-step explanation:

first we need to find the root of the expression

\(\sqrt{-49} = \sqrt{49} *\sqrt{-1} \\ \\ \sqrt{49} = 7\\\\and\\\\ \sqrt{-1} = i\)

so the answer is B. 7i

PLEASE HELP ME WITH THIS QUESTION ASAP

PLEASE HELP ME WITH THIS QUESTION ASAP

Answers

Answer:

its 11-17/-3+5 to find the slope its y1-y2 over the difference of the c

Which of the following equations are equivalent? Select three options. 2 + x = 5 x + 1 = 4 9 + x = 6 x + (negative 4) = 7 Negative 5 + x = negative 2

Answers

The three equivalent equations are 2 + x = 5, x + 1 = 4 and -5 + x = -2. So, correct options are A, B and E.

Two equations are considered equivalent if they have the same solution set. In other words, if we solve both equations, we should get the same value for the variable.

To determine which of the given equations are equivalent, we need to solve them for x and see if they have the same solution.

Let's start with the first equation:

2 + x = 5

Subtract 2 from both sides:

x = 3

Now let's move on to the second equation:

x + 1 = 4

Subtract 1 from both sides:

x = 3

Notice that we got the same value of x for both equations, so they are equivalent.

Next, let's look at the third equation:

9 + x = 6

Subtract 9 from both sides:

x = -3

Since this value of x is different from the previous two equations, we can conclude that it is not equivalent to them.

Now, let's move on to the fourth equation:

x + (-4) = 7

Add 4 to both sides:

x = 11

This value of x is also different from the first two equations, so it is not equivalent to them.

Finally, let's look at the fifth equation:

-5 + x = -2

Add 5 to both sides:

x = 3

Notice that we got the same value of x as the first two equations, so this equation is also equivalent to them.

So, correct options are A, B and E.

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Complete question is:

Which of the following equations are equivalent? Select three options.

2 + x = 5

x + 1 = 4

9 + x = 6

x + (- 4) = 7

- 5 + x = - 2

El lado mas largo de un triangulo rectangulo es 5 mas que 4 veces el laso mas corto. El tercer lado es 10metros que la suma de los otros dos. sea 8 cm la longitud del lado mas corto.

Answers

Answer:

the answer is that yoy need to learn how to speak english

4 time 4

equals 16

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