What is the solution to the equation below? In x= -4

A. X=0.31
B. X=0.02
C. X=-54.60
D. X=-1.39

Answers

Answer 1

Answer:

  B. X=0.02

Step-by-step explanation:

The solution to the natural log equation is found by taking antilogs.

  ln(x) = -4 . . . . . . . given equation

  x = e^-4 . . . . . . . take antilogs

  x ≈ 0.0183156

  x ≈ 0.02 . . . . rounded to 2 decimal places

_____

Additional comment

Essentially, we use each side of the equation as a power of e.

  e^ln(x) = e^(-4)

  x = e^-4 . . . . . . . simplified

Choices C and D can be eliminated by the fact that ln(x) for x < 0 is undefined. x cannot be negative.


Related Questions

Witch is greater 76.201 or 76.187

Answers

Answer:

76.201 is greater than 76.187

how old are you if you were born in the 1600th​

Answers

Answer:

422 yrs old

Step-by-step explanation:

Answer: Hi the answer to that would be 422 years old.

I'm not that sure tho

What is the total length of the beads that are
inch long?
6

Answers

Answer:

6 inches

Step-by-step explanation:

IF there are 6 beads in total, that are 1 inch each, 6 x 1 would be 6, therefore its 6 inches

Dario purchased a party size sub, and he decides to share it with 3 of his friends. So, he cuts the sub into 4 equal pieces. However, another one of his friends also showed up, and there are now 5 people in total.

Part A --
Now that the sub will be shared equally among 5 people, will each person get more or less sub? Briefly state why you think so.

Part B --
Dario decides to take each one of the 4 pieces and share it equally among the 5 of them.
First, he divides one piece into 5 equal parts and shares it, then the next one, and so on.
What fraction of the party size sub did each person get after all the parts were shared out? Briefly explain your reasoning.

Answers

Answer:

less sub

if there is less, then you could also divide it into 20 pieces, and give 4 pieces per friend

Step-by-step explanation:

How many parallel pairs are in a trapezoid

Answers

Answer:

the answer would be one pair

find the angle measure of X, Y and Z

Answers

Answer:

y= 76

x=104

z=104

...

....

....

....

...

Find the value of X
(Simplify your answer. Type an exact answer, using radicals as needed.)

Answers

Answer:

11[tex]\sqrt{2}[/tex]

Step-by-step explanation:

The given shape is a right triangle, to find the value of x we can use Euclidian Theorem:

x^2 = 14*(14+4)

x^2 = 280 find the root for both sides

x = 11[tex]\sqrt{2}[/tex]

A smartphone costs $120. Sales tax is 5%. What is the total cost, including tax?

Answers

Answer:

$126

Step-by-step explanation:

5% of 120 is 6.

Then add it since it askes the total including tax.

6 + 120 = 126

In a circle, a chord is 16 cm in length and 6 em from the center of a circle. Find the length of the
diameter of the circle.

Answers

Answer:

Step-by-step explanation:

radius = r

r² = (16/2)² + 6² = 100

r = 10, diameter = 2r = 20 cm

Which equation
represents a line that passes through (2, -1/2) and has a slope of 3?

Answers

Answer:

y = 3x - 6 [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

We can use y = m x + c to find the equation of the line.

Here,

m ⇒ slope

c ⇒ y - intercept

They have already given the slope of the line.

m = 3

And now we have to find the y - intercept using the given coordinates.

( 2 , - 1/2 ) ⇒ ( x , y )

Let us find now.

y = m x + c

-1/2 = 3 × 2 + c

-0.5 = 6 + c

-0.5 - 6 = c

-6.5 = c

-6 1/2 = c

Now let us write the equation of the line.

y = m x + c

y = 3x - 6 [tex]\frac{1}{2}[/tex]

Please I need help on this and I will give brainliest!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

I went onto desmos to see if any were parallel or perpendicular and I don't think that any of them are, so your answer is correct.

Solve 2 – 4<5. Graph the solution.
The solution is

Answers

Answer:

x < 9

Step-by-step explanation:

Move the -4 over as if there was an equal sign so that x < 9

Take the arrow that looks like this "<---O" that is not filled in and put it on the number 9.

Let me know if this helps <3

Answer:

x < 9

Step-by-step explanation:

The graphed solution starts with a open circle on the 9 number on the number line. Then there is a line that extends from the open circle all the way to the left.

-3x- 1>8 solve and then graph the equation

Answers

Answer:

x<-3

Step-by-step explanation:

-3x-1>8

Add +1 on both sides

-3x>9

Divide by -3 on both sides (don't forget to switch the inequality sign when you multipy or divide by a negative)

x<-3


2. A bike costs
A
$650. During
Sale it is marked
Idown 35%. What is
the sale price of the
bike?
I need the process as well, Please answer fast!!!

Answers

Answer:

$422.50

Step-by-step explanation:

Given the following question:

35% of 650

To find the answer we must first calculate 35% of 650 by using the formula to calculate percentages. Then we will subtract that answer from the original price of the bike, which will give us our answer.

[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{35\times650}{100}[/tex]
[tex]35\times650=22750[/tex]
[tex]22750\div100=227.5[/tex]
[tex]=227.50[/tex]

Now subtract from the original price:
[tex]650[/tex]
[tex]650-227.5=422.5[/tex]
[tex]=422.50[/tex]

The bike after a 35% markdown will cost "$422.50."

Hope this helps.

The nth term of a sequence is 4n^2 -n-1. What is the 11th term of the sequences?

Answers

Answer:

The 11th term is 472

Step-by-step explanation:

[tex] t_{n} = 4 {n}^{2} - n - 1[/tex]

[tex] t_{11} = 4 \times {11}^{2} - 11 - 1[/tex]

[tex] = 4 \times 121 - 12 \\ = 484 - 12 \\ = 472[/tex]

a washer and dryer cost a total of 993. the cost of the washer is two times the cost of the dryer. find the cost of each item

Answers

Let the price of the dryer = X

The washer is 2 times that so you would have 2x

Now you have X + 2x = 993

Simplify:

3x = 993

Divide both sides by 3:

x = 331

The dryer cost 331

The washer cost 2 x 331 = 662

8. A Chinese Pie Stand offers a delicious triangular shaped, chewy, green onion pie. You can also order the pie with any or all of 4 luxurious toppings: heavenly beef, earthly chicken, salty ocean fish, and spicy insanity crazy chili. How many ways can a pie be ordered?

Answers

15

(beef)
(chicken)
(fish)
(chili)

(beef, chicken)
(beef, fish)
(beef, chili)

(chicken, fish)
(chicken, chili)

(fish, chili)

(beef, chicken, fish)
(beef, fish, chili)
(beef, chicken, chili)
(chicken, fish, chili)

(beef, chicken, fish, chili)

( 7.
) Michelle's salad uses 1 1/2 tomatoes and
serves 3 people. Caley's salad uses
2 tomatoes and serves 5 people. Whose
salad has more tomato per person

Answers

michelles salad

for michelles salad, each person would get 1/2 of a tomato. in caleys salad, she would need 4 people for everything to be served 1/2 of a tomato. because shes serving 5 people, each person gets less than 1/2 of a tomato. therefore michelles salad serves more people

Solve the problem. 6/y= 9/24

Answers

Answer: y = 16 should be your answer.

Answer:

Y=16

Step-by-step explanation:

Division is the method

70 is 140% of what number?

Answers

Answer:

Step-by-step explanation:

simply  70×100÷140, which will give you the answer.

Answer:

50

Step-by-step explanation:

mental math look at my profile if you want to trust me or not

what is the output of y=1/3x-4 if the input is 18​

Answers

Answer:

2

Step-by-step explanation:

Input is X, which is 18

Y = ⅓(18) - 4

= 6 - 4

= 2

A house is 19 ft tall. Its shadow is 40 ft long at the same time the shadow of a nearby building is 300 ft long. Find the height of the building​

Answers

ANswer: 161.5ft???.....

hello help me with this question thanks in advance​

Answers

[tex]\bold{\huge{\underline{ Solution \:1 }}}[/tex]

Figure 1 :-

Here, we

One triangle and AB acts as a bisector for RT and ST. The length of AT and AR are 15 and 5The length of BT and BS are 12 and 4

By using basic proportionality theorem :-

This theorem states that if a line which is parallel to the side of triangle intersect other to sides then the line which divides the other two sides are in proportion that means the ratios are equal

That is,

[tex]\sf{\dfrac{ AT}{RT }}{\sf{=}}{\sf{\dfrac{BT}{ST}}}[/tex]

Subsitute the required values,

[tex]\sf{\dfrac{ 8 }{ 8 + 11 }}{\sf{=}}{\sf{\dfrac{7}{7 +10}}}[/tex]

[tex]\sf{\dfrac{ 8 }{ 19}}{\sf{=}}{\sf{\dfrac{7}{17}}}[/tex]

[tex]\sf{\dfrac{ 8 }{ 19}}{\sf{≠}}{\sf{\dfrac{7}{17}}}[/tex]

Hence, AB is not parallel to RS

Figure 2 :-

Here, we have

One triangle and AB acts as a bisector for RT and ST. The length of AT and AR are 8 and 11The length of BT and BS are 7 and 10

By using basic proportionality theorem :-

That is,

[tex]\sf{\dfrac{ AT}{RT }}{\sf{=}}{\sf{\dfrac{BT}{ST}}}[/tex]

Subsitute the required values,

[tex]\sf{\dfrac{ 15 }{ 15 + 5 }}{\sf{=}}{\sf{\dfrac{12}{16}}}[/tex]

[tex]\sf{\dfrac{15 }{ 20}}{\sf{=}}{\sf{\dfrac{12}{16}}}[/tex]

[tex]\sf{\dfrac{ 3}{ 4}}{\sf{=}}{\sf{\dfrac{3}{4}}}[/tex]

Hence, AB is parallel to RS

[tex]\bold{\huge{\underline{ Solution\: 2}}}[/tex]

Here, we have

Triangle ABC and DE || BC The length of AB = 12 , AD = 4 , DE = 6 and AC = 24 .

Part 3 :-

By using basic proportionality theorem,

This theorem states that if a line which is parallel to the side of triangle intersect other to sides then the line which divides the other two sides are in proportion that means the ratios are equal

That is,

[tex]\sf{\dfrac{ AD}{AB }}{\sf{=}}{\sf{\dfrac{AE}{AC}}}[/tex]

Subsitute the required values,

[tex]\sf{\dfrac{ 4}{12 }}{\sf{=}}{\sf{\dfrac{AE}{24}}}[/tex]

[tex]\sf{\dfrac{ 4}{12 }}{\sf{{\times} 24= AE}}[/tex]

[tex]\sf{ AE = 4 {\times} 2 }[/tex]

[tex]\sf{ AE = 8 }[/tex]

Hence, The length of AE is 8

Part 4 :-

Again , By using Basic proportionality theorem :-

That is

[tex]\sf{\dfrac{ AD}{AB }}{\sf{=}}{\sf{\dfrac{DE}{BC}}}[/tex]

Subsitute the required values,

[tex]\sf{\dfrac{ 4}{12 }}{\sf{=}}{\sf{\dfrac{6}{BC}}}[/tex]

[tex]\sf{\dfrac{ 1}{3 }}{\sf{=}}{\sf{\dfrac{6}{BC}}}[/tex]

[tex]\sf{ BC = 6 {\times} 3 }[/tex]

[tex]\sf{ BC = 18 }[/tex]

Hence, The length of BC is 18 .

WILL GIVE BRAINLIEST!!!!
What is the exact value of x?
6•2^5x=345

Answers

Answer:

Step-by-step explanation:

Find the length of AC. Round your answer to two decimal places. A 10 in. b 40° C B a​

Answers

Using relations in a right triangle, it is found that the length of AC is of 6.43 inches.

What are the relations in a right triangle?

The relations in a right triangle are given as follows:

The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

In this problem, the length of side AC is b, which is opposite to the angle of 40º, while the hypotenuse is of 10 in, hence:

[tex]\sin{40^\circ} = \frac{b}{10}[/tex]

[tex]b = 10 \times \sin{40^\circ}[/tex]

Using a calculator:

[tex]b = 6.43[/tex]

More can be learned about relations in a right triangle at https://brainly.com/question/26396675

A house plan shows a scale of 1:40. If the rectangular lounge room of the house is to measure 4.5 metres by 6.3 metres, What are the dimensions of the room on the plan?​

Answers

Answer:

.112 m by .157m OR 4.43 by 6.20 in

Step-by-step explanation:

The scale is 1:40, meaning that if the house plan shows 1 of something, the real life version is 40 times larger. Given this information:

4.5 m by 6.3 m is the ACTUAL SIZE.

Given this, we need to divide by 40 to get the room PLAN.

0.1125 by 0.1575 meters, OR 4.42913386 by 6.2007874 inches.

Simplifed,

.112 m by .157m OR 4.43 by 6.20 in

:)

An ant walks 9 3/4 feet in 3/4 minute. The distance in feet the ant walks is directly proportional to the time in minutes the ant walks. What is the constant of proportionality that relates the distance in feet the ant walks to the time in minutes it takes the ant to walk that distance?​

Answers

Answer:

[tex]7\frac{5}{16}[/tex] ANSWER (C.

Step-by-step explanation:

Multiply [tex]9\frac{3}{4}[/tex] by [tex]\frac{3}{4}[/tex] to get [tex]\frac{117}{16}[/tex]

-

[tex]7\frac{5}{16} = \frac{117}{16}[/tex]

because 7 multiply by 16 plus 5 = 117

So 117 over 16

is the same as  [tex]7\frac{5}{16}[/tex] .

Help! Please graph it well, ect. I need this ASAP.

Answers

That’s the graph make sure you mark it on the right number.

Answer:

(0,-4)(2,0) put that in there and connect them

Step-by-step explanation:

if a car covers 54km in an hour how much distance will it cover in 40 minutes​

Answers

Answer:

It cover 36 km in 40 minutes

Step-by-step explanation:

(-1)[p-(-5)(-9)]+(p+q)(-2) if p =-3 and q =7

Answers

Answer:

40

Step-by-step explanation:

Substitute the value of the variable into the expression and simplify.

Hope it helps!!!!!Brainliest pls!!!!!
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