Answers
Answer:
The answer is
[tex]x = \frac{ {e}^{ \frac{3}{ ln(2) } } }{4} [/tex]Step-by-step explanation:
[tex] ln(2) \times ln(4x) = 3[/tex]Divide both sides of the equation by ln 2
That's
[tex] \frac{ ln(2) ln(4x) }{ ln(2) } = \frac{3}{ ln(2) } [/tex]We have
[tex] ln(4x) = \frac{3}{ ln(2) } [/tex]Covert the logarithm into exponential form using the property
[tex] ln(x) = b\: \: is \: \: \: the \: \: \: same \: \: \: as \: \: \: \:
x = {e}^{b} [/tex]Are all the same
So
[tex] ln(4x) = \frac{3}{ ln(2) } [/tex]is the same as
[tex]4x = {e}^{ \frac{3}{ ln(2) } } [/tex]Divide both sides by 4
We have the final answer as
[tex]x = \frac{ {e}^{ \frac{3}{ ln(2) } } }{4} [/tex]Hope this helps you
Related Questions
6. To check whether the rose bush lies on the circle, see if its coordinates make the
equation for the circle true. Show your work (2 points)
Answers
Part of question :
(x-10)^2+(y-10)^2=100
(16-10)^2+(18-10)^2=100
Answer:
Yes, equation of circle is true
Step-by-step explanation:
(x-10)^2+(y-10)^2=100
(16-10)^2+(18-10)^2=100
100=100
plugging the coordinates into the equation of the circle, we observe that the equation is true since both sides of the equation are equal(value on both sides of the equal sign are same). This wouldn't be true if for instance the left side of the equation evaluated to ≠100. Therefore we can conclude that the rose bush lies on circle since the equation is true
Help please I need a little help I kinda don’t get it.
Answers
Answer:
12 eggs / 2 TBSP
24 eggs / 4 TBSP
Step-by-step explanation
depending on how much quiche you want, you can alter the recipe by doubling, tripling or even quadrupling the batch. For this example, every time 6 eggs were added, 1 tbsp of butter was added, so if we double that, 12 eggs were added and 2 tbsp of butter was added.
This rectangle has side lengths or r and a for each expression say whether it gives the perimeter of the rectangle the area of the rectangle or neither
Answers
Answer:
to find the perimiter of a rectangle you use the formula which is P = 2 (L + W)
so it would be 2r + 2s
Step-by-step explanation:
plz help Write an expression to represent each statement below: The sum of 3 times a number and 14 *
Answers
Answer:
3x*14
Step-by-step explanation:
The sum of = A number or addition
A Number = Variable or given number
And = Multiplication/Multiply By
A woman owns the W½ of the NW¼ of the NW¼ of a section. The adjoining property can be purchased for $2,300 per acre. How much would it cost the woman to purchase the part of the NW¼ of section she doesn't already own?"
Answers
Answer:
$322000
Step-by-step explanation:
A woman owns the W½ of the NW¼ of the NW¼ of a section.
= 640/2/4/4 = 20 acres
She wants to buy remaining of NW 1/4 = 640/4-20 = 140 acres.
It would cost = 140*2300 = $322000
Therefore, it cost $32000 to purchase the part.
The ________ sum of squares measures the variability of the sample treatment means around the
overall mean.
a. treatment
b. error
c. interaction
d. total
Answers
Answer:
treatment
Step-by-step explanation:
hope this helps, I did OSM 202 MC , as well.
The TREATMENT sum of squares measures the variability of the sample treatment means around the overall mean.
The sum of squares is used to measure the variation about the mean, In ANOVA we have:
• Sum of square Error : measures the variation between each observation in a group and the mean of that group.
• Sum of square treatment : measures the variation between the mean of each group and the overall mean.
• Total Sum of Square : measures the variation between each observation and the overall sample mean.
Hence, Treatment sum of squares measures variation between sample treatment and overall sample mean.
Learn more : https://brainly.com/question/23638404
a can of soup has a volume of 20 pi cubic inches. the diameter of the can is 4 inches. What is the height of the can
Answers
Answer:
5 inchesStep-by-step explanation:
A can is cylindrical in nature and volume of a cylinder is expressed as;
V = πr²h where;
r is the radius of the cylindrical can
h is the height of the can.
Given parameters
Volume of the can of soup = 20πin³
diameter of the can = 4inches
Since diameter = 2r
radius = d/2 = 4/2 = 2inches
Required parameter.
Height of the can
Substituting the given parameters into the formula to get the height h will give;
20π = πr²h
20 = r²h
20 = 2²h
20 = 4h
Divide both sides by 4:
4h/4 = 20/4
h = 5inches
Hence the heighr of the can is 5 inches
Rearrange the equation so x is the independent variable. y + 6 = 5(x-4)
Answers
Answer:
y = 5x- 26
Step-by-step explanation:
x is the independent variable, which means solve for y
y + 6 = 5(x-4)
Distribute
y+6 = 5x -20
Subtract 6 from each side
y+6-6 = 5x -20-6
y = 5x- 26
y = 5x- 26
↗️⬆️⬆️↖️
Answer
A bean stalk doubled its height every day. This was a magical bean stalk that grew from
the magical beans that Jack planted, which he got from selling his mother's cow. The bean
stalk reached its full height in 100 days. How many days did it take to reach half its height?
Answers
Answer:
The number of days it take to reach half its height is 99 days
Step-by-step explanation:
The given parameters are;
The height to which the beans stalk grew daily = Twice the initial height
The time duration for the bean stalk to reach maximum height = 100 days
Therefore, the growth of the bean stock is in the form of a geometric progression with a common ratio, r = 2
The formula for a geometric progression = a×r⁽ⁿ⁻¹⁾
Therefore, the height of the bean is given by the formula a×r⁽ⁿ⁻¹⁾
Where;
The first term = a = 1 (for analysis)
The number of terms (days) = n = 100 for 100 days
Therefore, we have;
After 100 days, the height of the bean = 1×2⁽¹⁰⁰⁻¹⁾ = 2⁹⁹ = 6.34 × 10²⁹
Half the height = 6.34 × 10²⁹/2 = 3.1291265 × 10²⁹
Which gives;
1×2⁽ⁿ⁻¹⁾ = 3.1291265 × 10²⁹
n - 1 = ㏒(3.1291265 × 10²⁹)/㏒(2) = 98
Which gives;
n - 1 = 98
n = 98 + 1 = 99 days.
The perimeter of the rectangle is 28 units.
What is the value of w?
5 units
7 units
14 units
15 units
Answers
Answer:
since we can't see the image, I'm just giving it a try
if it's wrong, it's fine for you to delete it
(see below)
Step-by-step explanation:
if one of the length is 5.6 units then the other will be 5 units
if one of the length is 4 units then the other will be 7 units
if one of the length is 2 units then the other will be 14 units
if one of the length is 1.86666666667 units then the other will be 15 units
if you're looking of an area, it might be 7 units
and I think that's all I've got
(hope it helps)
Evaluate each expression if a =2, b = -3 and c = -1 and d =4 (2d-a)>fraction with a b at the bottom
Answers
Answer:
-2
Step-by-step explanation:
[tex] \dfrac{2d-a}{b} = \dfrac{2(4)-2}{-3} = \dfrac{8-2}{-3} = \dfrac{6}{-3} = -2 [/tex]
Which term does not belong with the other three? AB plane CDE FG HI
Answers
Answer: your answer should be HI i hope it helps
1) What is the difference between rigid and non rigid motion?
Answers
Answer: Rigid motion is otherwise known as a rigid transformation and occurs when a point or object is moved, but the size and shape remain the same. This differs from non-rigid motion, like a dilation, where the size of the object can increase or decrease
Step-by-step explanation:
Find the value of x.
A.48
B.56
C.68
D.76
Answers
Answer:
A
Step-by-step explanation:
The secant- tangent angle 78° is half the difference of the intercepted arcs
[tex]\frac{1}{2}[/tex] (204 - x) = 78 ( multiply both sides by 2 )
204 - x = 156 ( subtract 204 from both sides )
- x = - 48 ( multiply both sides by - 1 )
x = 48
Answer:
A.) 48
Step-by-step explanation:
I got it correct on founders edtell
The slope of a line is a measure of the steepness
True or false
Answers
Answer:
The answer is true
Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
Step-by-step explanation:
HOPE IT HELPS, PLS MARK IT AS BRAINLIEST
The nth term of a sequence is 10n – 8 .Find the 20th term and 50th term.
Answers
Answer:
192
492
Step-by-step explanation:
aₙ = 10n - 8a₂₀ = 10*20 - 8 = 200 - 8 = 192a₅₀ = 10*50 - 8 = 500 - 8 = 492can anyone plz find the area
Answers
Answer:
A = 18 km ^2
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh
A = 1/2 ( 10 ) * 3.6
A = 18 km ^2
3x+4+5x+10 simplify combining like terms
Answers
Answer:
[tex]\Large \boxed{8x+14}[/tex]
Step-by-step explanation:
[tex]3x+4+5x+10[/tex]
Grouping the like terms.
[tex](3x + 5x) + (4+10)[/tex]
Combining the like terms.
[tex]8x+14[/tex]
Answer:
[tex] \boxed{ \bold{ \sf{ \huge{ \bold{8x + 14}}}}} [/tex]Step-by-step explanation:
[tex] \sf{3x + 4 + 5x + 10}[/tex]
Collect like terms
Like terms are those which have the same base. Only coefficient of like terms can be added or subtracted.
⇒[tex] \sf{3x + 5x + 4 + 10}[/tex]
⇒[tex] \sf{8x + 4 + 10}[/tex]
Add the numbers
⇒[tex] \sf{8x + 14}[/tex]
Hope I helped!
Best regards!!
What are the angles of a triangle
Answers
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
The (interior) angles of a triangle always add up to 180 degrees. To find the exterior angles of a triangle, subtract the interior triangle from 360 degrees.
The total degrees of any polygon is (n-2)×180 (n is the number of angles). 3-2 is 1 and 1 times 180 is 180. Therefore, the angles of a triangle always add up to 180 degrees.
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
HELP MEE HURYyyYYYYYYYY
Answers
Answer:
45(1+2)
Step-by-step explanation:
Looking at you options, you can see that 45 is your Greatest common factor (GCF)
45 X 1 = 45
45 X 2 =90
45(1+2)
Can somebody help me solve this with an explanation?
Answers
Answer:
x=1
Step-by-step explanation:
10/x+2/x = 12
Combine like terms
12/x = 12
Multiply each side by x
12/x * x = 12 *x
12 = 12x
Divide by 12
12/12 = 12x/12
1 =x
Answer:
x = 1
Step-by-step explanation:
Combine the two fractions, which is easily done because the denominators are the same:
12
--- = 12, which can also be written as 12 = 12x. Then x = 1
x
How do I factor e^2-10e+25
Answers
Answer: (e-5)^2
Step-by-step explanation:
The box method is a good way to solve this, but for a quick explanation, start by finding a single value that when added gets -10 and when multiplied gets +25. We can find that this term is -5. We the can situate -5 into (e-5)^2 equation, where if you FOIL, you will be back at the unfactored equation. Hope this helps
The factored form of e² - 10e + 25 is (e - 5)².
To factor the expression e² - 10e + 25, we can use the method of recognizing it as a perfect square trinomial. A perfect square trinomial is a quadratic expression of the form (a - b)², where 'a' and 'b' are constants.
In the given expression, e² - 10e + 25, the first term (e²) and the last term (25) are perfect squares, and the middle term (-10e) is twice the product of the square roots of the first and last terms.
So, we can rewrite the expression as:
(e - 5)²
Now, if we expand (e - 5)², we get:
(e - 5)(e - 5) = e² - 10e + 25
Therefore, the factored form of e² - 10e + 25 is (e - 5)².
To know more about factored:
https://brainly.com/question/1454998
#SPJ2
Question 1 (1 point)
This diagram is a straightedge and compass construction. A is the center
of one circle,
and B is the center of the other. Explain how we know triangle ABC is
equilateral.
Answers
Answer/Step-by-step explanation:
Segments AB and AC are both radii of the circle with center A. All radii of a circle are always equal, tgerefire,:
[tex] AB = AC [/tex]
Segments AB and BC are both radii of the circle with center B. All radii of a circle are always equal, therefore:
[tex] AB = BC [/tex]
Thus,
[tex] AB = AC = BC [/tex]
∆ABC has sides AB, AC, and BC, which are all equal (equal radii).
Therefore, ∆ABC is an equilateral triangle.
An equilateral triangle has 3 equal sides.
when the number is reduced by 15% , the answer is 6154 . What is the original number ?
Answers
Let's assume the number as x .
15% of x = [tex]\dfrac{x \times 15}{100} [/tex]
→ [tex]\dfrac{3x}{20} [/tex]
So after reducing 15% the number will be 6154 .
→ x - 3x/20 = 6154
→ 17x/20 = 6154
→ 17x = 6154 × 20
→ 17x = 123080
→ x = 123080/17
→ x = 7240So the number is 7240
plesse help on 28 and 29
Answers
Answer:
28) Triangle
29) Ray
Step-by-step explanation:
28) A TRIANGLE is a polygon, but not a quadrilateral
29) A RAY had an endpoint, but it’s not a line segment
Kyle entered to run in a 5K (5 kilometers) race. He wants to figure out how many miles are in the race. If there are 1000 meters in 1 kilometer, and 1 mile equals approximately 1609.34 meters, how many miles will Kyle run in the race? Round your answer to the nearest hundredth place.
Answers
Answer:
3.11 miles
Step-by-step explanation:
Hello!
First we have to get the distance into meters
The problem says there are 5 kilometers in a race and 1000 meters in a kilometer so 5 kilometers is 5000 meters
Now we turn the meters into miles
It says a mile is about 1609.34 so we can divide the amount of meters by how many meters are in a mile
5000/1609.34 = 3.106
Round to the nearest tenth
3.106 ⇒ 3.11
The answer is 3.11 miles
Hope this helps!
what source is mayonnaise
Answers
Answer:
Mayonnaise is made by combining lemon juice or vinegar with egg yolks. Eggs (containing the emulsifier lecithin) bind the ingredients together and prevent separation. Then, oil is added drop by drop as the mixture is rapidly whisked.
Company A makes three different group of products, There are liquid products, solid products, and gas products. The ratio of liquid to solid to gas product is 3:4:5. If there are exect;y 36 different solid products, how many total products are there?
Answers
Answer: Total products = 108
Step-by-step explanation: Ratio of solid to liquid products is 3:4 and there are 36 solids, so:
[tex]\frac{3}{4} = \frac{Pl}{36}[/tex]
[tex]Pl = \frac{36.3}{4}[/tex]
Pl = 27
Ratio of solid to gas is 4:5:
[tex]\frac{4}{5}=\frac{36}{Pg}[/tex]
[tex]Pg=\frac{36.5}{4}[/tex]
Pg = 45
Total products is the sum of all products:
P = Ps + Pl + Pg
P = 36 + 27 + 45
P = 108
There are a total of 108 products.
At a benefit concert, 13 bands have volunteered to perform but there is only enough time for eight of the bands to play. How many lineups are possible?
Answers
Answer: 51891840
Step-by-step explanation:
Given : Total bands = 13
Possible number of bands can perform= 8
For arranging in order we use permutations.
By using permutations, the number of lineups are possible = [tex]^{13}P_8=\dfrac{13!}{(13-8)!}[/tex]
[tex]=\dfrac{13!}{5!}\\\\=\dfrac{13\times12\times11\times10\times9\times8\times7\times6\times5!}{5!}\\\\=51891840[/tex]
Hence, there are total 51891840 line ups are possible.
Canada has 70 national
parks and Japan has 37.
How many more national
park does Canada have?
Answers
Answer:
33
Step-by-step explanation:
Subtract Japans parks from Canadas parks
70 - 37 = 33
Answer:
70-37=33
so Canada have 33 more national parks than Japan
Step-by-step explanation: