Answers
Step-by-step explanation:
Using the properties of logarithms, the left side of the equation becomes
[tex]\log{3x^3} - \log{x^2} = \log{3x}[/tex]
while the right hand side becomes
[tex]\log{27} - \log{x} = \log{\frac{27}{x}}[/tex]
so we end up with
[tex]3x^2 =27 \Rightarrow x = 3[/tex]
Related Questions
Please help
Solve the inequality.
1
X +
<-3 or x - 3>-2
2 –
x <
or x >[]
Answers
Answer:
x <_ - 3/0.5 or x > 1
Answer
Given the triangle below, find the angle θ in radians. Round to four decimal places.
Answers
Answer:
θ = 0.9626
Step-by-step explanation:
Hi there!
We're given the hypotenuse and the leg adjacent to θ in this right triangle. To find θ, we can use the cosine ratio:
[tex]\displaystyle cos\theta=\frac{adjacent}{hypotenuse}[/tex]
Plug in the given information
[tex]\displaystyle cos\theta=\frac{4}{7}[/tex]
Use the inverse cosine ratio
[tex]\displaystyle \theta=cos^-^1(\frac{4}{7})[/tex]
Plug this into your calculator (and ensure you're solving for radians instead of degrees in the settings)
[tex]\displaystyle \theta=0.9626[/tex]
Therefore, θ = 0.9626 when rounded to four decimal places.
I hope this helps!
Answer:
theta = 0.9626 radians
Step-by-step explanation:
cos theta = a/h
cos theta = 4/7 = 0.5714
so, the angle theta = arc cos 0.5714 =
55.1520 °
in radians => 55.1520 × π / 180°
= 0.9626 radians
Help me pls!!!!!!!!!!!
Answers
Answer:
.01 times
Step-by-step explanation:
Plzzz helppppp!!!!!!! 20+PTS and brainliest!!!!!!!!!!!!!!!
Please show work!!!!!!!!!!!
Answers
Refer to the equation y=mx+c
Question 7 of 10 Which of the following is most likely the next step in the series? A B. C. D.
please help if you can
Answers
Answer:
I choose option d it maybe the answer
Answer:
D
Step-by-step explanation:
The number of sides increase by 1 each time
Calculate the area of this section of floor in square feet.
Answers
Answer:
A total= 0.6703125 ft²
Step-by-step explanation:
A1= 3.9× 14.3= 55.77 in²
A2=1/2 × 14.3× ( 9.6-3.9)= 40.755 in²
A total= A1+ A2= 55.77+40.755=96.525 in²
1 ft= 12 in , 1ft²= 144 in²
Atotal= 96.525÷144= 0.6703125 ft²
Resuelve las siguientes ecuaciones
a. 3x + 30 = 80 + 2x
Answers
Answer:
3x + 30 = 80 + 2x
3x – 2x = 80 –30
x= 50
I hope I helped you^_^
Answer:
x=50
Step-by-step explanation:
3x + 30 = 80 + 2x
subtract 2x from both sides
1x + 30 = 80
subtract 30 from both sides
x=50
Given: 40,905; 40,509; 40,095; and 40,059, the correct arrangement of these numbers from the least to the greatest value is:
40,905; 40,509; 40,095; and 40,059.
40,059; 40,095, 40,509; and 40,905.
40,059; 40,095; 40,905; and 40,509.
40,095; 40,059; 40,509; and 40,905.
40,509; 40,905; 40,095; and 40,059.
Answers
Answer:
Step-by-step explanation:
40905
40509
50095
40059
Is greatest to least. You want it to go the other way around.
40059
40095
40509
40905
The smallest number is determined by the number on the right. Then your keep going left to get to the largest. The answer is the second one down.
A CD with a diameter of 120 millimeters rotates a rate of 45 revolutions per minute. Find the linear speed of the CD in millimeters per minute. And find the angular speed of the CD in radians per minute
Answers
9514 1404 393
Answer:
16,965 mm/min90π ≈ 282.7 radians/minStep-by-step explanation:
The circumference of the CD is ...
C = πd
C = π(120 mm) ≈ 376.99 mm
This is the distance a point on the edge of the CD will travel when making one revolution. It will travel 45 times this far when making 45 revolutions:
(376.99 mm/rev)(45 rev/min) ≈ 16,965 mm/min
__
There are 2π radians in each revolution, so the angular speed is ...
(2π rad/rev)(45 rev/min) = 90π rad/min ≈ 282.7 rad/min
[tex]-4\sqrt{28x}[/tex] times [tex]\sqrt{7x^3}[/tex]
Answers
Answer:
[tex] {56x}^{2} [/tex]
Step-by-step explanation:
[tex] - 4 \sqrt{28x} \times \sqrt{ {7x}^{3} } [/tex]
[tex] = -4 \times 2 \sqrt{7x} \times \sqrt{7x} [/tex]
[tex] = - 4 \times 2 \times 7x \times x[/tex]
[tex] = {56x}^{2} [/tex]
Kaitlin recorded the results for a sample of 536 candies.
Color Counts Sample Proportion ()
Red 123 23%
Yellow 145 27%
Green 64 12%
Orange 129 24%
Purple 75 14%
The candy company claims that the distribution of each color is exactly 20%.
Select the observed and expected frequencies for the yellow candies.
a.) Observed: 145
Expected: 80.4
b.) Observed: 123
Expected: 80.4
c.) Observed: 107.2
Expected: 14
d.) Observed: 145
Expected: 107.2
Answers
Answer:
Observed: 145
Expected: 107.2
Step-by-step explanation:
to get the observed frequency, we simply look at the value in the column. In this case, it is 145 for the yellow group.
To get the expected frequency, we use the formula:
n equals s a m p l e space s i z e equals 536
p equals h y p o t h e s i z e d space p r o p o r t i o n equals 20 percent sign equals 0.2
E x p e c t e d space F r e q u e n c y equals n times p equals 536 times 0.2 equals 107.2
Answer: 104.5
107.2
Step-by-step explanation:
Q19. If 3x + 5x = -9, then x + 1 =
00
2
Answers
Step-by-step explanation:
8x=-9
x=-9/8
x+1=-9/8+1
x+1=-1/1
x+1=-1
Several probability expressions for a normal distribution are provided below. Drag the correct percentage to each probability expression.
Items
a. 68%
b. 47.5%
c. 13.5%
d. 2.5%
Category
1) P(?-2??x??)
2) P(?-??x??+?)
3) P(?+2??x)
4) P(?-2??x??-?)
Answers
The appropriate distribution of the percentages are :
P(μ-2σ≤x≤μ) = 47.5%
P(μ-σ≤x≤μ+σ) = 68%
P(μ-2σ≤x) = 2.5%
P(μ-2σ≤x≤μ-σ) = 13.5%
For a normal distribution :
The mean, μ = 0
The mean, μ = 0The standard deviation, σ = 1
Therefore :
P(μ-2σ≤x≤μ) = P(x≤μ) - P(x≤μ-2σ)
P(x≤μ) - P(x≤μ-2σ)
P(Z ≤ μ) - P(Z ≤ 2(1))
P(Z ≤ 0) - P(Z ≤ 2)
Using the normal distribution table :
0.5 - 0.02275 = 0.47725 = 47.725% (approximately 47.5%)
P(μ-σ≤x≤μ+σ) = P(x≤μ-σ) - P(x≤μ+σ)
P(x≤μ+σ) - P(x≤μ-σ)
P(Z ≤ μ+σ) - P(Z ≤ μ-σ)
P(Z ≤ (0+1) - P(Z ≤ 0-1)
P(Z ≤ 1) - P(Z ≤ - 1)
Using the normal distribution table /
0.84134 - 0.15866 = 0.68268 = 68.268% = (approximately 68%)
P(μ-2σ≤x) = P(μ-2σ)
P(Z ≤ μ-2σ) = P(Z ≤ (0 - 2(1))
P(Z ≤ - 2) = 0.02275 = 2.275% = (approximately 2.5%)
P(μ-2σ≤x≤μ-σ) = P(x≤μ-σ) - P(x≤μ-2σ)
P(x≤μ-σ) - P(x≤μ-2σ)
P(Z ≤ μ-σ) - P(Z ≤ μ-2σ)
P(Z ≤ (0-1) - P(Z ≤ 0-2(1))
P(Z ≤ -1) - P(Z ≤ -2)
From normal distribution table :
0.15866 - 0.02275 = 0.13591 = 13.59% = approximately 13.5%
Learn more : https://brainly.com/question/14308582
Choose a linear function for the line represented by the point-slope equation y - 5 = 3(x - 2).
Answers
f(x) = 3x - 1
Step-by-step explanation:
[tex]y - 5 = 3(x - 2) \\ y - 5 = 3x - 6 \\ y = 3x - 6 + 5 \\ y = 3x - 1[/tex]
What is 5 * 5 * 2 * 2 * 2 in standard form
Answers
Answer:
50000 5000 200 20 2
Step-by-step explanation:
ii) Ramesh asked me where I lived. (into direct speech)
Answers
Answer:
Ramesh asked me,"where do you live?"
Ramesh said to me," where do you live".
Subtracting a number is the same as adding its additive inverse. For which elevation do we need to find the additive inverse? What is the additive
inverse of that elevations
Answers
Answer:
what elevation there is no elevation
Step-by-step explanation:
pew pew
Answer:duhh
Step-by-step explanation:
The median speed at which Dave drove to work was __________. 63 miles per hour 62 miles per hour 58.89 miles per hour 59 miles per hour
Answers
Step-by-step explanation:
Dave run with was 63 miles
Assume that an investment of $3000 earns an APR of 6% compounded monthly for 18 months.
How much money is in your account after 18 months?
Answers
9514 1404 393
Answer:
$3281.79
Step-by-step explanation:
The compound interest formula is ...
A = P(1 +r/n)^(nt)
where A is the balance resulting from investment of P at annual rate r compounded n times per year for t years.
We have P=$3000, r=0.06, n=12, t=1.5, so the account balance is ...
A = $3000(1 +0.06/12)^(12·1.5) = $3000(1.005^18) ≈ $3281.79
There will be $3281.79 in the account after 18 months.
(7 - 1) to the 2 power plus 2 and to the 4 power - 8
Answers
The answer is 56. work is shown below.
Step 1: apply 2nd power to everything inside parentheses
(7 - 1)² = 7² - 1²
Step 2: apply exponents (remember, exponents are a shorter way to express a number multiplied by itself a number of times).
1 x 1 = 1
7 x 7 = 49
Step 3: subtract
49 - 1 = 48
Step 4: apply exponent
2 x 2 x 2 x 2 = (2 x 2) x (2 x 2)
2 x 2 = 4
2 x 2 = 4
4 x 4 = 16
2⁴ = 16
Step 5: add
48 + 16 = 64
Step 6 (final step): subtract
64 - 8 = 56
final answer: 56
Need help on #3 pliss
Answers
Answer:
B. 0.28
Step-by-step explanation:
Add all the sports up and you get 50
14 (soccer players)/50 (total number of students)
14/50 = 28/100 = 0.28
if the 6th term of an A.p is 11and its first term is 1 find the common diferent
Answers
Answer:
[tex]thank \: you[/tex]
Explanation:
Common diff = (11 - 1)/(6 - 1) = 10/5 = 2
The manager at a computer recycling plant says it takes workers a minimum of 120 seconds to break down a computer monitor. The exact amount of time depends on the number of screws in the computer that must be removed. It takes 10 seconds to remove each screw, and then an additional 30 seconds to sort the computer parts into their appropriate containers for recycling. Write an inequality that determines the minimum number of screws that are in each computer monitor.
Answers
Answer: 120 + 10s + 30
Step-by-step explanation:
120 + 10s + 30
let "s" be the amount of screws
Find the HCF of 1045 and 1520 by long division. Method plsss
Answers
Answer:
95
Step-by-step explanation:
you can watch answer in photo. by the way where r u from?
Answer:
I hope it helped U
stay safe stay happy ❤️❤️
I need help with this.
simplify
[tex] \sqrt{?} 121[/tex]
Answers
how high is a tree that cast a 23ft shadow at the same time
a 9ft post casts a shadow which is 11ft long
Answers
Answer:
tree is about 18.82 ft high
Step-by-step explanation:
The triangles (that are formed by the tree and the poll with their shadows and the line from top to the end of the shadow) are in proportion because they cast the shadow at the same time.
x/9 = 23/11 , we write the proportions
x = 23*9 / 11, multiply both sides by 9
x ≈ 18.82 ft.
How do you find the HCF of 15t and 6s?
Answers
Answer:
HCF=3
Step-by-step explanation:
Factors of 15t= 3*5*t
Factors of 6s= 2*3*s
HCF= Common factors
common factor = 3
HCF=3
The Pep Club planned to sell streamers for 50¢ each. They also raised $100 selling pom poms. How many streamers would they need to sell in order to raise a total of $150?
Answers
Answer:
300 streamers
Step-by-step explanation:
Solve the equation. Check your answer. 27=9x+2-4x
Plz help
The x's are varibles not multiplication btw
Answers
Step-by-step explanation:
27=9x+2-4x
or, 27-2=9x-4x
or,25=5x
or,25/5=X
so, X=5
Is square root of 11+10 a rational or irrational number
Answers
Answer:
Irrational Number is the answer
Answer:
[tex] \sqrt{11 + 10} = \sqrt{22} = 4.69041576 [/tex]
THIS IS IRRATIONAL
Step-by-step explanation:
The correct answer is irrational and the reason for that is the decimals for sqrt of 22 are non-recurring, are non-terminating and lastly it cannot be expressed in a form of a fraction.
I hope this makes sense
:)