The relation between the exponential and the logarithm is used. Then the expression [tex]e^{\ln3}[/tex] is given as 3.
What is a logarithm?Exponents can also be written as logarithms. A number base logarithm is similar to some other number. It is the exact inverse of the exponent expression.
The expression is given below.
[tex]\rightarrow e^{\ln3}[/tex]
We know the formula
[tex]\rm e^{\ln x} = x[/tex]
Then the expression can be written as
[tex]e^{\ln3} = 3[/tex]
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How far does the unicycle move if the wheel turns once?
Pierre enters a 100m unicycle race. How many times must the wheel rotate completely in order for Pierre to travel 100m?
The unicycle moves a distance of 251.20cm if the wheel turn once and the wheel must rotate 32 times to cover a distance of 100m
Circumference of a circleThe formula for calculating the circumference of a circle is given as:
C = 2pi r
r is the radius of the circle
a) r = 80/2 = 40cm
C = 2(3.14)(40)
C = 251.20 cm
Hence the unicycle moves a distance of 251.20cm if the wheel turn once
b) Number of revolution * 2pi r = distance covered
n * 2(3.14)(50) = 10000
314n = 10000
n = 10000/314
n =32
Hence the wheel must rotate 32 times to cover a distance of 100m
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please solve this problem using the pythagorean theorem, and give me the right answer and I will give you brainliest. :)
==========================================================
Explanation:
Check out the diagram below to see what's going on.
a = 8.2 feetb = unknownc = 9 feetUse the pythagorean theorem to find b
[tex]a^2 + b^2 = c^2\\\\b = \sqrt{c^2 - a^2}\\\\b = \sqrt{9^2 - (8.2)^2}\\\\b = \sqrt{81 - 67.24}\\\\b = \sqrt{13.76}\\\\b \approx 3.709 447\\\\b \approx 3.7\\\\[/tex]
The length is roughly 3.7 feet.
What is the value of the expression 30-(-6)?
0 -180
O -5
O 5
O 24
Answer:
36? its not on there but that is it.
find the unit vector in the direction of v= 2i+ j + k
What is the length of the hypotenuse of the triangle ABC
what is the length of the shorter leg of triangle ABC
What is the length of the longer leg of triangle ABC
thank you sm!!!!
Answer:
9. AB = (40/3)√3
10. BC = (20/3)√3
Step-by-step explanation:
The ratios of side lengths in the "special" 30-60-90° triangle are ...
1 : √3 : 2
__
If D is the point where the altitude meets AB, then we have for the left triangle ...
CD : AD : CA = 1 : √3 : 2 = 10 : 10√3 : 20
and, for the right triangle ...
BD : CD : BC = 1 : √3 : 2 = (10/√3) : 10 : (20/√3)
and for the large triangle ...
BC : CA : AB = 1 : √3 : 2 = (20/√3) : 20 : (40/√3)
__
9.The hypotenuse of ΔABC is AB, shown above to be ...
AB = 40/√3 = (40/3)√3
__
10.The shorter leg of ΔABC is BC, shown above to be ...
BC = 20/√3 = (20/3)√3
Carmen will spend more than $35 on gifts. So far, she has spent $22. What are the possible additional amounts she will spend?
Answer:
Anything more than $13
Step-by-step explanation:
A taxi charges an airport pickup fee of $3 plus $1.50 for each mile traveled. If a taxi ride cost John $36, how many miles did John travel in the taxi?
31 miles
21 miles
22 miles
32 miles
Answer:
Step-by-step explanation:
36-3=33
33 divided by 1.5 equals 22
answer is 22 miles
Answer:
Step-by-step explanation:
1.5x + 3 = 36
1.5x = 33
x = 22 miles
HELP ME PLEASE IM GOING TO FAIL!!!
Answer:
-1
Step-by-step explanation:
m= -1
Slope Formula: (y2 - y1) / (x2 - x1)
Point 1 = (4, 3)
Point 2 = (11, -4)
Slope = (-4 - 3) / (11 - 4) = -7 / 7 = -1
Answer: slope = -1
Hope this helps!
I will mark brainlist to whoever answers first
Answer:
∠V = 32°
Step-by-step explanation:
VW = UV
⇒ Isosceles triangle. So, the angles opposite sides are equal.
∠W = ∠U
∴ ∠W = ∠U = 74°
Angle sum propertySum of all angles of triangle = 180
74 + 74 + ∠V = 180
148 + ∠V = 180
∠V = 180 - 148
∠V = 32°
What is the scale factor of (-2,6) and (-10,30) After dilation
Answer: 5
Step-by-step explanation: -2 * 5 = -10 6 * 5 = 30
Answer: [tex]The ~scale~ factor~ is~ 5[/tex]
Step-by-step explanation:
[tex]-2*5 ~is~=-10[/tex]
[tex]6*5=30[/tex]
[tex]We~use~the~distance~formula~to ~determine~the~distance~between ~two ~points.[/tex]
[tex]8\sqrt{10}[/tex]
Jocelyn decides to research the relationship between the length in inches and the weight of a certain species of catfish. She measures the length and weight of a number of specimens she catches, then throws back into the water. After plotting all her data, she draws a line of best fit. Based on the line of best fit, how much would you predict a catfish with a length of 32 inches would weigh?
The amount I can predict a catfish with a length of 32 inches would weigh is 28in.
What is the catfish measurement about?Let say the fraction is = yx + b
m = [tex]\frac{20-4}{23-20}[/tex]
= 6/3
=2
Note also that 4= 2 x 20 x b
Make b the subject of the formula and it will be=
B= -36
Therefore, the function will be:
Y= 2x - 36
If x = 32
Then y = 2. 32 - 36
=28
Therefore, the amount I can predict a catfish with a length of 32 inches would weigh is 28in.
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Calculating the relative frequencies from the data given in the table. choose all that correctly describe an association between favorite subject and grade.
a higher percentage of 8th graders than 7th graders prefer history.
a higher percentage of 7th graders than 8th graders prefer english.
a higher percentage of 8th graders than 7th graders prefer math/science.
Answer:
a higher percentage of 8th graders than 7th graders prefer history.
a higher percentage of 8th graders than 7th graders prefer math/science.
Step-by-step explanation:
The ratio of the distance around a circle, the circumference, to the distance across a circle, the diameter, is represented by the Greek letter a. If the circumference of a circle is 6.28 inches and the diameter of the same circle is 2 inches, what is the approximate value of a to two decimal places?
Answer:
3.14 inches
Step-by-step explanation:
diameter=2inches radius =1
The formula for circumference of a circle with radius r is 2πr.
The formula for the area of a circle with radius r is πr²
π≈3.14
So the radius of our circle is
6.28/2π
≈6.28/2×3.14=1
its area is πr²
≈3.14×1²=3.14
Help me solve this problem please
Answer :
C
Explanation :
The question given in C is statistical as compares the data in an item out of a setfind the area of the nearest hundredth use 3.14 for π
Answer:
254.34
Step-by-step explanation:
3.14 x 9^2
or
3.14(9 x 9)
hope this helps
have a good day
Hi I really need help with this one
Answer:
GCF: 3 , While answer to addition problem is 36.
Step-by-step explanation:
* Help me with mine please thanks*
x⁴-12x²+8=0
(find value of x)
will give brainliest!!! Help pls!
Answer:
I notice that square 3 plus square 2 equals square 1, the biggest square. That must mean that the third square, squared, plus the second square, squared, equals the biggest square, squared, which is square c.
The coach has $400 to spend on the end of season party. She
purchases awards for $80 and decorations for $35. She will use the
remaining money to order pizza. If pizzas cost $12 each, what is the
most pizzas can she buy?
Polynomials & Factoring
(4m+n)(m-2n)
(2a-4b)(7a-2b)
Thank you!
Answer4
m
2
−
7
m
n
−
2
n
2
Step-by-step explanation:
Round 6254 correct to 1 signature figure
Answer:
6000
Step-by-step explanation:
6.25×10 3x 6.3×10 3x6×10 3×(06.01 MC)What is the value of the expression 2 + 32 ⋅ (3 − 1)?
20
22
23
32
Answer:
22
Step-by-step explanation:
3-1=2
2+3^2 x 2
3x3=9
2+9 x2
11x2=22
Ruben had a 18.4 m length of rope. He used 6.4 m of the rope
to make a rope ladder for a playground. He cut the remaining
rope into 2 equal pieces to make tire swings. How long is each
tire swing rope?
Answer:
3.2m
Step-by-step explanation:
First you do 18.4-6.4m, to get the amount of rope left after Ruben has used some to make that rope ladder. Then you get your answer, which in this case is 6.4, and divide it by 2. This way we get the length of one of the two equal lengths. After this we get 3.2m, which is the length of each tire swing rope!
Answer:
6 m.
Step-by-step explanation:
Remaining length = 18.4 - 6.4 = 12 m
So the length of each swing rope
= 12/2
= 6 m.
Multiply, add and subtract to find the total. *
calvin paints ad posters. he charges $50 for a large poster and
$30 for a small poster. last week, he sold 3 large posters and 6
small posters. he also had to spend $40 to buy more paint.
how much money does calvin have left?
your answer
Answer:
$290
Step-by-step explanation:
3x50=$150
6x30=$180
180+150=$330
330-40=$290
If Sam can read 20 pages in 30 minutes, how many hours will it take Sam to read 200 pages?
It's a seven grade social studies I know this is math but people aren't active in social studies All I'm trying to ask is how did the issue of slavery cause the Civil War in the election of 1860 the presidential election of 1860
Answer:
The election of 1860 established the Democratic and Republican parties as the majority parties in the United States. It also confirmed deep tensions surrounding slavery and states’ rights between the North and South. Before Lincoln’s inauguration, eleven Southern states seceded from the Union and just after his swearing-in, the Confederate Army fired on Fort Sumter, starting the Civil War.
The circumference of the target above is 6,575.16 mm. What is the diameter of the target? Use = 3.14.
What percent of 4c in each expression?
c
An expression given is to subtract a – b – c from the sum of 3a – 2b + 4c and 3b – 2c .
What is the expression about?An expression in math is known to be the putting together of numbers, variables, etc.
For the expression above,
(3a - 2b + 4c) + (3b - 2c) - (a - b - c)
Therefore:
= 3a - 2b + 4c + 3b - 2c - a + b + c
The answer will be = 2a + 2b + 3c
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Mr. Robinson sets 36 glasses on
a table. He puts the same number
of glasses in each of 9 rows. How
many glasses does he put in
each row?
The expression below represents the perimeter, in feet, of Manual’s garden. 15 + 2x + 7 + 15 + 2x + 7 Use exactly two terms to write an equivalent expression to represent the perimeter, in feet, of Manual’s garden. The area, measured in square feet, of Manual’s garden is found by calculating 15(2x + 7). Manual incorrectly says the area can also be found using the expression 30x + 7. Describe the error in Manual’s expression. Also, find the difference, in square feet, between the actual area of Manual’s garden and the area found using his expression as a part of your explanation. Manual’s friend Sasha designs a square garden. Each side measures 3x + 5 in length. The perimeter of Sasha’s garden is how much larger than the perimeter of Manual’s garden?
The perimeter of Sasha’s garden is 8x - 24 larger than the perimeter of Manual’s garden
The equivalent expression using exactly two termsThe perimeter is given as:
P = 15 + 2x + 7 + 15 + 2x + 7
Collect like terms
P = 2x + 2x + 7 + 15 + 15 + 7
Evaluate the like terms
P = 4x + 44
The area of the gardenThe area of the garden is given as:
A = 15(2x + 7).
Expand
A = 30x + 105
Manual's expression of the area is 30x + 7
Hence, Manuel's error is that he did not multiply 15 by 7 when expanding the bracket and the actual area is 30x + 105
The difference between the areas of Manual’s garden and Sasha's designThe side length of Sasha's design is:
L = 3x + 5 in
So, the area is:
A = (3x + 5)^2
Expand
A = 9x^2 + 16x + 25
The difference between both areas is:
Difference = 9x^2 + 16x - 30x + 25 - 105
Evaluate
Difference = 9x^2 - 14x - 80
Hence, the difference between the areas of Manual’s garden and Sasha's design is 9x^2 - 14x - 80
The perimeter of Sasha's gardenThis is calculated using:
P = 4L
So, we have:
P = 12x + 20
The difference between both perimeter is:
Difference = 12x - 4x + 20 - 44
Evaluate
Difference = 8x - 24
Hence, the perimeter of Sasha’s garden is 8x - 24 larger than the perimeter of Manual’s garden
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