Given that
[tex]2 {}^{x} = 0.125[/tex]
Find x

Answers

Answer 1
Take the natural log of both sides

ln(2^x)=ln(.125)
Xln(2)=ln(.125)
X=ln(.125)/ln(2)
X=-3

ALTERNATIVE ROUTE:
You know that 0.125 is equal to 1/8
And 1/2^3 is also equal to 1/8
So since you need the reciprocal to match it the exponent is a negative
Answer 2

Answer:

x = -3.

Step-by-step explanation:

2^x = 0.125

Taking logs:

x ln 2 = ln 0.125

x = ln 0.125 / ln 2

x = -3


Related Questions

The number of bus riders was recorded on one route. The data have these values: minimum = 18, lower quartile = 22, median = 26, upper quartile = 29, and maximum = 37.

Which box plot represents the data?

Answers

Answer:

b cause its b

Step-by-step explanation:

Answer:

Step-by-step explanation:

THe guy is correct its B

Write the standard equation of a circle with center (-2, -1) and radius 2.

Answers

Answer:

(x+2)^2+(y+1)^2=4

Step-by-step explanation:

(x-h)^2+(y-k)^2=r^2 is the standard equation for a circle

Plug in point at (h,k) Negative points= positive in equation due to (x-h),(y-k) All equal to radius squared

Identify the volume of the composite figure. Round to the nearest tenth.

Answers

Answer:

474.5 ft ³

Step-by-step explanation:

1) Find the volume of the cube

[tex]A=l^3[/tex] where l is the side length

Plug in 9 ft as l

[tex]A=9^3\\A=729[/tex]

Therefore, the volume of the cube is 729 ft³.

2) Find the volume of the cylinder

[tex]A=\pi r^2h[/tex] where r is the radius of the base and h is the height of the cylinder

Plug in 3 ft as the radius and 9 as the height

[tex]A=\pi (3)^2(9)\\A=\pi (9)(9)\\A=81\pi \\A=254.5[/tex]

Therefore, the volume of the cylinder is approximately 254.5 ft ³.

3) Subtract the volume of the cylinder from the volume of the cube

729 ft³ - 254.5 ft ³

= 474.5 ft ³

Therefore, the volume of the figure is 474.5 ft ³.

I hope this helps!

Answer:

I think It's A

Step-by-step explanation:

Is 8, 11.5, 8.5 a right triangle?

Answers

Answer:

Monkey says NO

Step-by-step explanation:

It was close, but banana was 1.7 banana short. sorry for your loss.

1 p
1.) On Tuesday at lunchtime, it was 29°C. By sunset, the temperature had
dropped to 16°C. How much did the temperature change by?

Answers

Answer:

Expression is; 29 - x = 16

Step-by-step explanation:

 

I've attached an image showing the number line

Step-by-step explanation:

We are told that at lunchtime, it was 29 degrees Celsius and that by sunset, the temperature had dropped to 16 degrees Celsius.

Let the drop be x.

Thus;

29 - x = 16

I've attached an image showing the number line

can someone help with this i don't get it ​

Answers

Answer:

Lord have mercy thats a bunch of numbers I woud help but i dont know how to start

Step-by-step explanation:

HELP PLZ

1. A new bicycle sells for $300. It is on sale for off the regular price. Select all the
expressions that represent the sale price of the bicycle in dollars.
A. 300 •1/4
B. 300 • 3/4
C. 300 - (1 - 1/4)
D. 300 – 1/4
E. 300 – 1/4•300

Answers

The answer is a.............

Answer:

Step-by-step explanation:

All of them beside D and A

5.
Loren is running in a long distance race. She is able to keep a steady pace of 10 feet per second.

Answers

Answer:

a or c Im not sure

Step-by-step explanation:

I think b though

The line which represents the speed as 10 feet per second is line B thus none of the given options are correct.

What is a graph?

A graph is a diametrical representation of any function between the dependent and independent variables.

For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.

As per the given,

Loren is running at speed of 10 feet per second.

Speed = distance covered/time taken

10 = distance covered/time taken

In line B, the ratio of distance covered/time taken is 10.

Thus, line B will be correct.

Hence "The line which represents the speed as 10 feet per second is line B thus none of the given options are correct".

To learn more about graphs,

brainly.com/question/16608196

#SPJ5

Help me and tell me the work pls

Answers

Answer: D. Both functions have the same y-intercept.

Please help NO LINKS!!!

Answers

Answer:

Step-by-step explanation:

base = 7 units

height = 12 unit

Area of triangle = [tex]\frac{1}{2}*base * height\\[/tex]

                          [tex]= \frac{1}{2}*12*7\\\\=6 * 7 \\= 42 unit^{2}[/tex]

The cost to rent a moving van is $8.85 plus an additiona $20.40 per hour. If a moving van is rented for 2 hours, what is the cost?

Answers

Answer:

49.65$

Step-by-step explanation:

(20.40 x 2) + 8.85 = 49.65 $

Solve the system of linear equations by substitution.
3x – 2y = 23
x + 2y = 13
The solution of the system is

Answers

Answer:

point form : (9,2) equation form : x=9 y=2

Step-by-step explanation:

I need to buy 525 lbs of flour each lb costs 0.02 how much will I have to pay? please explain

Answers

Answer:

$10.5

Step-by-step explanation:

525 pounds, with $0.02 each

You just multiply 525 by 0.02

The graph of linear function f passes through the point (1, -8) and has a slope of 2. What is the zero of f?

Answers

The linear function is given by f(x) = 2x - 10 with a zero of -10(y intercept.

Linear equation

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope and b is the y intercept.

The line passes through the point (1, -8) and has a slope of 2. Hence:

y - (-8) = 2(x - 1)

y = 2x - 10

f(x) = 2x - 10

f(0) = 2(0) - 10 = -10

The linear function is given by f(x) = 2x - 10 with a zero of -10(y intercept.

Find out more on Linear equation at: https://brainly.com/question/13763238

The diagram shows a cuboid.
8 cm
15 cm
20 cm
What is the volume of the cuboid?​

Answers

Answer:

mdndmdkdkdkdkd

Step-by-step explanation:

kdkdkdjfjfk

The answer is 2400 cm^3

You just need to multiply the dimensions.

This graph represents the path of a baseball hit during practice.

Downward opening parabola with (0,0.5), (6.16, 0) and vertex (3,5)

What does the x-value of the vertex represent?

Question 1 options:

the maximum height of the baseball


ground level


the time the baseball was hit


the time the baseball reached its maximum height

Answers

Answer:

Step-by-step explanation:

x-coordinate of the vertex is the time the baseball reaches maximum height.

The shaded portion of the bar model in Part A shows 38. What percent is equivalent to 38? Enter the correct answer in the box.

Answers

Question:

The shaded portion of the bar model in Part A shows 3/8. What percent is equivalent to 3/8? Enter the correct answer in the box.

Answer:

The equivalent is 37.5%

Step-by-step explanation:

Given

[tex]\frac{3}{8}[/tex]

Required

The equivalent

The model is not shown, but the question can still be solved.

We have:

[tex]\frac{3}{8}[/tex]

Multiply by 100%

[tex]\frac{3}{8} = \frac{3}{8} * 100\%[/tex]

[tex]\frac{3}{8} = 0.375 * 100\%[/tex]

[tex]\frac{3}{8} = 37.5\%[/tex]

More trig ratios see attachment

Answers

Answer:

TanX = 9/12, WX = 15, TanW = 12/9, CosX = 12/15

Step-by-step explanation:

Tan = opposite/adjacent, so 9/12

WX is the missing side, so solve it by taking the square root of (9^2) +( 12^2) and you get 15

Tan again, is opposite/adjacent, so 12/9

Cos is adjacent/hypotenuse, so 12/15

Hopefully this helps! Let me know if you have any questions

With the trend on this scatter plot, how old would someone be who spends 50 minutes on homework per day?
A. 18 years old
B. 12 years old
C. 8 years old
D. 14 years old

Answers

I believe from looking at the scatter plot that the answer would be D. 14 years old
If you are spend in t 50 minutes on homework your most likely 14 because of stats so your answer choice would be D.

Out of 250 randomly selected U.S. men in the 35– 44 age group, about how many would you expect to have a total cholesterol level greater than 260 milligrams per deciliter of blood?

Answers

Answer:

i think this is the one

Step-by-step explanation:

The dashed segments in these drawings represent the ... Select all the statements that are true about bases and heights in a ... Find the area of the parallelogram and record it in the last column of the table. ... Figure 1.2.2.6: 2 copies of the same parallelogram. On the ... Definition: Parallelogram.

Ivan had 1,500 flyers printed to announce the opening of his new coffee shop. He paid $0.06 per flyer he's paying his friends $0.25 cents per flyer to deliver them. How much will Ivan pay to have all the flyers printed and delivery

Answers

25+6=31
So you have to multiply 0.36 by 1500 to get your answer
Answer is 540
Plz correct me if I’m wrong

30 POINTS
I think i have it right this time

Answers

Answer:

your answer is b

Step-by-step explanation:

find the value of given expression

[tex] \sqrt{99 - ( - 1)} [/tex]

Answers

Answer:

10

Step-by-step explanation:

Note that when there are two negative signs directly next to each other, you are adding:

[tex]\sqrt{99 - (-1)} = \sqrt{99 + 1} = \sqrt{100}[/tex]

Simplify:

[tex]\sqrt{100} = \sqrt{10 * 10} = 10[/tex]

10 is your value for the given expression

Answer:

± 10

Step-by-step explanation:

[tex]\sqrt{99 - (-1)} = \sqrt{99 + 1} = \sqrt{100}[/tex] = ± 10

Help plssss I’m really bad at math and I have no clue what I’m doing <3333 also remember you can choose more than 1

Answers

Answer:11111

Step-by-step explanation:

1

A parallelogram has vertex at (-5 , -1) (-2, -1), (-3,-4), and (-6,-4). What is the approximate perimeter of the parallelogram round your answer to the nearest hundredth

Answers

Answer:

12.4 units

Step-by-step explanation:

We have to find the length of the sides of the parallelogram which is calculated using the formula for Distance

= √(x2 - x1)² + (y2 - y1)² where we are given the vertices (x1, y1) and (x2, y2)

For side A

(-5 , -1) (-2, -1)

= √(-2 -(-5))² + (-1 - (-1))²

= √(-2 + 5)² + (-1 + 1)²

= √3² + 0

= √9

= 3 units

For side B

(-2, -1), (-3,-4)

= √(-3 -(-2))² + (-4 -(-1))²

= √(-3 + 2)²+ (-4 + 1)²

= √-1² + -3²

= √1 + 9

= √10 units

= 3.1622776602 units

Approximately = 3.2 units

For side C

(-3,-4), (-6,-4).

= √(-6 -(-3))² + (-4 - (-4))²

= √(-6 + 3)² + (-4 + 4)²

= √-3² + 0²

= √9

= 3 units

For side D

(-5 , -1), (-6,-4)

= √(-6 - (-5))² + (-4 - (-1))²

= √(-6 + 5)² + (-4 + 1)²

= √-1² + -3²

= √1 + 9

= √10 units

= 3.1622776602 units

Approximately = 3.2 units

From the above calculation , we can see that,

side A = side C

side B = side D

The formula for the Perimeter of a Parallelogram is = 2(Side a + Side b)

= 2(3 + 3.2) units

= 2(6.2) units

= 12.4 units

A rectangular piece of metal 12 cm long 18 cm wide and 10 cm high is melted and recast into 45 cylindrical plates,each of radius 1.2 cm.Find the thickness of each plate giving your answer correct to 2 decimal places?

Answers

Answer:

10.61 cm

Step-by-step explanation:

From the question,

The volume of the rectangular piece of metal = Volume of the 45 cylindrical plates.

Volume of a cuboid = 45×volume of a cylinder

lwh = 45×πr²h..................... Equation 1

Where l = length of the rectangular piece of metal, w = width of the rectangular piece of metal, h = height of the rectangular piece of metal, r = radius of the cylindrical plates, h = thickness of the cylindrical plates.

make h the subject of the equation

h = lwh/(45πr²).................... Equation 2

Given: l = 12 cm, w = 18 cm, h = 10 cm. r = 1.2 cm

Constant: π = 3.142.

Substitute these values into equation 2

h = (12×18×10)/(45×3.142×1.2²)

h = 2160/203.60

h = 10.61 cm.

Which term best describes the sequence 1,5,9,13,17,...?
a.Geometric
b.Arithmetic
c.Quadratic
d.Neither​

Answers

Answer:

Arithmetic sequence

Step-by-step explanation:

Each term is the previous term +4 so it is an arithmetic sequence

Rosa conducted a survey of students' favorite types of music. The results are shown in the table. Of the 550 students in the whole school, how many would you expect to prefer Pop/Rock?

Answers

Answer: 264

Step-by-step explanation:

decrease
133 in the ratio 7:2​

Answers

Answer:

38

Step-by-step explanation

2/7× 133=38

5)
A coach is ordering jerseys for the school.
• The coach pays a one-time fee of $10.
• The coach also pays $12 for each shirt ordered.
Which function can be used to find t, the total amount the coach pays in dollars when c shirts
are ordered?
A t = 12c + 10
Bt = 100 - 12
Ct = 120 - 10
D t = 10c + 12

Answers

Answer:

10c + 12

Step-by-step explanation:

I believe that is the answer please let me know if I am wrong

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