Solve 4^x=12 by taking the natural log of both sides

Answers

Answer 1

Answer:

3

Step-by-step explanation:


Related Questions

Trigonometry question

Answers

Answer:

The answer would be 6.8 I believe.

Step-by-step explanation:

Step 1: You would have to find which side is the opposite , hypotenuse and adjacent to the degree. 8 is adjacent and x is the hypotenuse. Then you can use a strategy I like which is called SOH CAH TOA to find if you need to use sin, cosine, or tangent. It tells you in the acronym too how to set up the equation.

Step 2: In this case we need cosine since it is adjacent over hypotenuse (C in the acronym is for cosine A is for adjacent and H is for hypotenuse) so the equation would be Cos32= 8/x

Step 3: Then solve the equation, so you would do

8cos32=x

Put that into the calculator (I'm using a TI-84) and make sure it is in degree mode and you would get 6.78 but round that up to 6.8.

I hope this helps and that I did it right!!

If we used the quadratic expression below to complete a diamond, which pair of values would go on the SIDES of the diamond?
x^2 - 4x + 5
a. 5 and -1
b. -5 and 1
c. -4 and 1
d. 4 and -1
e. no solution

Answers

9514 1404 393

Answer:

  e. no solution

Step-by-step explanation:

You would be looking for factors of +5 that have a sum of -4. There are none (no solution). None of the values offered in the answer choices have a product of +5.

__

The discriminant of the quadratic is (-4)² -4(1)(5) = -4, so the roots are complex.

Pleaseee helppp which one is and whyy!!!!

Answers

Answer:

c = 17(83)-17(16)=1139

Step-by-step explanation:

The length of a rectangle is twice the width. The perimeter of the rectangle is 24 feet.
What is the length of the rectangle?
Let x = the width of the rectangle.
Which let statement would you use for the length?

Answers

Let the width be x cm

Length = 2x cm

Perimeter = 2 ( x + 2x) = 42

3x = 21

x = 7 cm

ANSWER Length 14cm , Width = 7cm

Which statement is false?
O A A square is a rectangle.
OB. A square is a parallelogram.
OC. A square has exactly 4 acute angles.
0
D. A square has exactly 4 congruent sides.

Answers

The answer that is false is: C. A square has all 4 right angles.

What is the distance between the points (-6, 2) and (-4, 7)? Round to the nearest tenth if necessary.

Answers

Answer: distance is 5.4

Step-by-step explanation: distance between points (X1,y1) and (x2,y2) is

√(x2-X1)² + (y2-y1)² = √[(-4-(-6))² + (7-2)²] = √(2²+ 5²) =√29

The distance between the points (-6, 2) and (-4, 7) is 5.4 units.

What is the distance formula?

The distance between any two points (x₁, y₁) and (x₂, y₂) can be determined using the distance formula according to which,

Distance = √((x₂ - x₁)² + (y₂ - y₁)²).

How do we solve the given question?

We are asked to find the distance between the points (-6, 2) and (-4, 7).

We will determine the distance using the distance formula, by which

Distance = √((x₂ - x₁)² + (y₂ - y₁)²)

or, Distance = √(((-4) - (-6))² + (7 - 2)²)

or, Distance = √((-4 + 6)² + (7 - 2)²) = √(2² + 5²) = √(4 + 25) = √29

Distance = √29 = 5.385165 = 5.4 (rounding to the nearest tenth).

∴ The distance between the points (-6, 2) and (-4, 7) is 5.4 units.

Learn more about the Distance Formula at

https://brainly.com/question/7243416

#SPJ2

A rectangle and a square have the same area. a. The width of the rectangle is w inches. The length of the rectangle is 15 inches less than 4 times the width of the rectangle. Write a polynomial to represent the area of the rectangle. b. The side of the square is w inches. Write a polynomial to represent the area of the square. c. Write an equation such that the area of the rectangle is equal to the area of the square. d. Solve the equation in part (c) to find the side length of the square. e. What are the length and the width of the rectangle?

Answers

9514 1404 393

Answer:

  a) w(4w-15)

  b) w²

  c) w(4w -15) = w²

  d) w = 5

  e) 5 by 5

Step-by-step explanation:

a) If w is the width, and the length is 15 less than 4 times the width, then the length is 4w-15. The area is the product of length and width.

  A = w(4w -15)

__

b) If w is the side length, the area of the square is (also) the product of length and width:

  A = w²

__

c) Equating the expressions for area, we have ...

  w(4w -15) = w²

__

d) we can subtract the right side to get ...

  4w² -15w -w² = 0

  3w(w -5) = 0

This has solutions w=0 and w=5. Only the positive solution is sensible in this problem.

The side length of the square is 5 units.

__

e) The rectangle is 5 units wide, and 4(5)-15 = 5 units long.

The rectangle and square have the same width and the same area, so the rectangle must be a square.

no links please or you will be reported .

Answers

Answer:

Step-by-step explanation:

2 should be 50 degrees as well. 1 should be 130 (to get the needed 180) 3 should be 130 degrees.  Hopefully this is correct

Solve the system 8y-5z=23 3y-2z=6

100 POINTS

Answers

Answer:

z = 21 ; y= 16

Step-by-step explanation:

first of all we have to isolate a variable.

In second expression we can obtain:

3y = 2z+6

y = 2/3 z + 2

now we have to substitute this value in the first equation and solve it

8(2/3z+2)-5z = 23

16/3z + 16 -5z = 23

16z +48 - 15z = 69

z = 21

now we have to substitute z in the second equation:

y = 2/3 (21) +2

y = 14+ 2 = 16

y = 16

The perimeter of the rectangle below is 108 units. Find the length of side VW.

Answers

Answer:

can u add a pic or any other measuremeants?

Step-by-step explanation:

a group of students measure the distance a toy car has traveled after different amounts of time. A table of the data is shown. The students want to perform and analysis of the date set and consider removing the outlier point. Select all of the quantities that will change if the outlier point is removed from the data set.

Data set:
Time (seconds) distance (meters)
5. 1.0
6. 1.2
7. 2.4
8. 3.3
9. 3.7
10. 11.0
11. 4.2
12. 3.7
13. 4.8
14. 4.5
15. 4.9

Answers

Answer:

In this given set of data the outliers point is the distance at 10 seconds i.e 11 meters.

If the outlier point is removed the best fit line, regression value of two variables i.e time and equation of the curve along with slope will change.

Step-by-step explanation:

In this given set of data the outliers point is the distance at 10 seconds i.e 11 meters.

If the outlier point is removed the best fit line, regression value of two variables i.e time and equation of the curve along with slope will change.

Please find the attach graph

Answer:

The mean and range of distance change

Step-by-step explanation:

Help mee it’s due tonight!!

Answers

Answer:

It's [tex]\frac{1}{288}[/tex]

Step-by-step explanation:

Replace x and y in the equation, it will look like this:

[tex]2(\frac{-1}{3})^2(\frac{1}{4})^3\\[/tex]

[tex]2(\frac{1}{9})(\frac{1}{64})[/tex]

[tex]2(\frac{1}{576})[/tex]

[tex]\frac{2}{576}=\frac{1}{288}[/tex]

Which polynomial is prime? x2 – 36 x2 + 16 x2 – 7x + 12 x2 – x – 20

Answers

Answer:

B

Step-by-step explanation

ed 2020

213=22: Z=14 Select True or False for each equation as is state
O True
O False
5x=25

Answers

Truest sense that the world of war in my opinion was gon in my own name in

Choose Yes or No to tell if the number 3.23 will make each equation true.

4.65 + □ = 7.88
Choose...


□ + 6.42 = 9.45
Choose...


2.85 + □ = 6.08
Choose...


□ + 8.49 = 10.72
Choose...

Answers

Answer:

yes

no

yes

no

Step-by-step explanation:

i think its right

Answer:

4.65 + □ = 7.88

Choose... Yes!

□ + 6.42 = 9.45

Choose...No

2.85 + □ = 6.08

Choose...Yes!

□ + 8.49 = 10.72

Choose...No

Step-by-step explanation:

Sorry if I'm wrong.

Your new car went 258 miles on 7.3 gallons of gasoline. How many miles per gallon is this? ​

Answers

The car went about 35.34 miles per gallon.(How? Divide 7.3 into 257 and you got your answer.)

Danielle has two interest rates to choose from to invest her inheritance of $5,000.

BANK A: 2.75% compounded monthly; BANK B: 3.25 compounded semi-annually

Complete Danielle's work to find the better return after 10 years.

Answers

Answer:

Bank B had the better return after 10 years.

Step-by-step explanation:

Find the missing fraction. 1/2 + blank = 7/8

Answers

Answer:

j

Step-by-step explanation:

use the given area to find the scale factor from the small figure to the large

Answers

don’t trust the person above me

In spite of the potential safety hazards, some people would like to have an Internet connection in their car. A preliminary survey of adult Americans has estimated this proportion to be somewhere around 0.40. Use the given preliminary estimate to determine the sample size required to estimate this proportion with 95% confidence and a margin of error of 0.02. (Round your answer up to the nearest integer.)

Answers

Answer:

The sample size required is of 2305.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

A preliminary survey of adult Americans has estimated this proportion to be somewhere around 0.40.

This means that [tex]\pi = 0.4[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The sample size required to estimate this proportion with 95% confidence and a margin of error of 0.02.

The sample size required is of n.

n is found when M = 0.02. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.02 = 1.96\sqrt{0.4*0.6}{n}}[/tex]

[tex]0.02\sqrt{n} = 1.96\sqrt{0.4*0.6}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.4*0.6}}{0.02}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.4*0.6}}{0.02})^2[/tex]

[tex]n = 2304.96[/tex]

Rounding up

The sample size required is of 2305.

How do I simplify 55/35

Answers

Answer:

1 4/7

Find a number that will divide evenly into both the top number and the bottom number. (You can do any math operation to either number as long as you do the same to the bottom number.)

Keep doing that until you can't find a number that works.

In this case try 5.

55 ÷ 5 = 11 and 35 ÷ 5 = 7

so: 55/35 = 11/7

since the top number is greater than the bottom, reduce 11/7 to 1 4/7

Answer:

[tex] \frac{55}{35} \\ \frac{11}{7} \\ 1.57[/tex]

What is the volume of this figure? A:320 inches cube, B:400 inches cube, C: 480 inches cube or, D:560 inches cube?

Answers

Answer:

480 in³

Step-by-step explanation:

15x4x4=240

10x4x4=160

5x4x4=80

240+160+80=480

Stephanie earns $750 a month. she gives
30% of the money to charity. How much money
does Stephanie give charity?

Answers

Answer:

she gives 225

Step-by-step explanation:

750×30% equals to 225

Answer:

Stephanie gives $225 to charity a month

Step-by-step explanation:

$750 / 100 = 7.5

7.5 x 30 = 225

7.5 x 70 = 525

700 - 525 = 225

Which equation has the same solution as
1/2 (4x-1/3) +2/3x=3 (x-1/6)

Answers

Answer:

You would have to add the options.

Step-by-step explanation:

I need help!!!!! It’s urgent

Answers

Answer:

do a line conforming to the table  days=x    sales =y

Step-by-step explanation:

1.6 x 0.7 =
plsss help

Answers

Answer:

1.12

Step-by-step explanation:

Answer:

1.12

Step-by-step explanation:

According to this diagram, what is tan 62°?
62°
17
8
280
90°
15
O A.
8
17
17
B.
8
O C.
15
17
O D.
17
15
O E.
8
15

Answers

Where is the diagram???

What does the unknown number round to when rounded to the nearest whole?

Answers

Answer:

0

Step-by-step explanation:

which statement is true?

Answers

Answer:

a because i just know it

What is the volume of the cone below?

O A. 5082 units 3
O B. 3388 units
O C. 924 units 3
D. 10,164units 3

Answers

The answer is 3388 units

Answer: 3388

Step-by-step explanation:

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