10 POINTS!!! FULL ANSWER WITH FULL STEP BY STEP SOLUTION PLEASE. DO BOTH PARTS OF 1 AND ALL OF 2.
Answers
y = e^x
dy/dx = e^x The f(x) = the differentiated function. Any value that e^x can have, the derivative has the same value. x is contained in all the reals.
One B
y = x*e^x
y' = e^x + xe^x Using the multiplication rule.
You want the slope and the value of the of y to be the same. The slope is y' of the tangent line
xe^x = e^x + xe^x
e^x = 0
This happens only when x is very "small" like x = - 4444444
y = e^x * ln(x) Using the multiplication rule again, we need the slope of the line with is y'
y1 = e^x
y1' = e^x
y2 = ln(x)
y2' = 1/x
y' = e^x*ln(x) + e^x/x So at x = 1 the slope of the line =
y' = e^1*ln(1) + e^1/1
y' = e*0+e = e
y = mx + b
y = ex + b
to find b we use y= e^x ln(x)
e^x ln(x) = e*x + b
e^1 ln(1) = e*1 + b
ln(1) = 0
0 = e + b
b = - e
line equation and answer.
y = e*x - e
Related Questions
What is the value of x?
20
40
45
85
Answers
2x=80
x=40
the answer is 40.
Answer:
the answer i 40 hope this helps :)
Step-by-step explanation:
Help Please!!!
A cylindrical pressure vessel has a height of 9 feet and a diameter of 6 feet. How much gas can the pressure vessel hold when full?
I know the answer is 81pi cubic ft
but not sure what formula to use to get that answer. It's not Volume of a cylinder.,
Answers
Answer:
You would need to use the formula for the volume of cylinder in order to get this. That's how I got to the answer of 81 pi. Maybe you used a different/wrong formula but you do need the formula for the volume of a cylinder.
What is the sum of the geometric series
Answers
Answer:
Hence, the sum of the geometric series is:
259
Step-by-step explanation:
We are given a geometric series as:
[tex]\sum_{i=1}^4 6^{i-1}[/tex]
i.e. we are asked to fnd the sum of first four terms of the geometric series with first term as 1
Since, the series is:
[tex]6^0+6^1+6^2+6^3[/tex]
Also, the common ratio of the series is: r=6
Since, each of the term of the series is 6 times it's preceding term.
Also we know that sum of a finite geometric series with n-terms and common ratio r is calculated by the formula:
[tex]S_n=a(\dfrac{r^n-1}{r-1})[/tex]
Here we have: a=1 and r=6 and n=4
Hence,
[tex]S_4=1(\dfrac{6^4-1}{6-1})\\\\\\S_4=\dfrac{1295}{5}\\\\\\S_4=259[/tex]
Hence, the sum of the series is:
259
How to find out how much you pay if there was a sale tax?
Answers
is 6km ( <, >, or =) 660m?
Answers
6 KM is greater then 660 M
Answer would be: 6 km is LESS THAN 660 m
Explanation:
Each Kilometer is 1000 meters
6 Kilometers is 6000 meters
Hope this helps.
What percent of 82.5 is 21.12
Answers
(100/x)*x=(82.5/21.21)*x
100=3.90625*x
100/3.90625=x
25.6=x
x=25.6
Thus: 21.12 is 25.6% of 82.50
The 25.6 percentage of the number 82.5 is 21.12
Given data:
To find the percentage of 21.12 in relation to 82.5, the proportion is simplified as:
21.12 is to 82.5 as x is to 100.
This can be expressed as:
21.12/82.5 = x/100
On solving for x by cross multiplying:
21.12 * 100 = 82.5 * x
2112 = 82.5x
To isolate x, divide both sides by 82.5:
2112/82.5 = x
On simplifying:
25.6 ≈ x
Hence, 21.12 is approximately 25.6 percent of 82.5.
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Given cosx=1213 and sinx=513 .
What is ratio for tanx ?
leave answer as a fraction in simplest form
Remember to show all of you work
Answers
By using the tangent formula, we will see that:
tan(x) = 5/12.
How to get the tangent of x?You just need to remember that we can write the tangent as:
tan(x) = sin(x)/cos(x).
In this case, we know that:
sin(x) = 5/13cos(x) = 12/13We can just replace these two in the tangent equation, we will get:
tan(x) = (5/13)/(12/13) = (5/13)*(13/12) = 5/12
tan(x) = 5/12
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A sphere has a radius of 4x + 1. Which polynomial in standard form best describes the total surface area of the sphere? Use the formula S = 4pir2 for the surface area of a sphere.
Answers
area = pi * (64x² + 32x + 4)
Using pi = 3.14:
area = 200.96 x² + 100.48 x + 12.56
Explanation:
We are given that:
area of sphere = 4 * pi * r²
radius = 4x + 1
Substitute with the radius in the given formula to get the area as follows:
area = 4 * pi * (4x+1)²
area = 4 * pi * (16x² + 8x + 1)
area = pi * (64x² + 32x + 4)
Using pi = 3.14:
area = 200.96 x² + 100.48 x + 12.56
Hope this helps :)
Help will medal!!!!
Kevin plans to put concrete on a rectangular portion of his driveway. The portion is 10 feet long and three inches high. The price of concrete is $98 per cubic yard. The total cost of the concrete Kevin needs is $72.59. Which of the following is closest to the width of the portion of the driveway on which Kevin plans to put concrete?
[1 foot = 12 inches; 1 yard = 3 feet]
3 feet
6 feet
8 feet
10 feet
Answers
Answer:
Option C is the correct answer.
Step-by-step explanation:
Volume = Length x Breadth x Height
Length = 10 feet = 3.33 yard
Height = 3 inches = 0.25 feet = 0.0833 yard
The price of concrete is $98 per cubic yard and total cost is $72.59.
[tex]\texttt{Total concrete needed = }\frac{72.59}{98}=0.74yard^3[/tex]
We have
Volume = Length x Breadth x Height = 0.74
3.33 x Width x 0.0833 = 0.74
Width = 2.67 yards = 2.67 x 3 = 8 feet
Option C is the correct answer.
what is the value of x that equals 14 y=310-25(x)
Answers
x = (310 -y)/25 = (310 -14)/25 = 296/25
x = 11.84
If you want x = 14,
y = 310 -25*14 = 310 -350
y = -40
Body temperatures are normally distributed with a mean of 98.6° f and a standard deviation of 0.19° f. what temperature represents the 95th percentile?
Answers
To find the temperature that represents the 95th percentile, calculate the z-score using the given formula and substitute the values in the equation. Using a standard normal distribution table, the temperature is approximately 98.93°F.
Explanation:To find the temperature that represents the 95th percentile, we need to calculate the z-score corresponding to the 95th percentile.
The z-score can be calculated using the formula: z = (x - μ) / σ, where x is the temperature, μ is the mean, and σ is the standard deviation. In this case, μ = 98.6°F and σ = 0.19°F.
By looking up the z-score in the standard normal distribution table, we can find the corresponding temperature.
Using a standard normal distribution table, we find that the z-score for the 95th percentile is approximately 1.645. Substituting the values into the formula, we get: 1.645 = (x - 98.6) / 0.19.
Solving for x, we find x ≈ 98.6 + (1.645 * 0.19) ≈ 98.9295°F.
Therefore, the temperature that represents the 95th percentile is approximately 98.93°F.
PLEASE HELP ME ON THIS AND SHOW UR WORK
THX
Answers
f(x)=ab^x, and
knowing that b^0=1, that means that
f(0)=ab^0=a value of function when x=0, or the initial value.
In the case of
f(x)=20.b^x, f(0)=20.b^0 = 20 (initial value)
If b=1.2, then the hourly growth rate is (1.2-1)=0.2=20%.
If b=1.85, then the hourly growth rate is (1.85-1)=0.85=85%.
please help me please
Answers
2.75 + 1.5p = 13.25
How to solve it:
We will solve this by subtract 2.75.5 from both sides. 2.75 - 2.75 cancels out. 13.25 - 2.75 is 10.5. We will divide that number by 1.5 now. 1.5p/1.5 cancels out. 10.5/1.5 is 7. There. DeAngelo ran the last 1.5 hours at 7 miles per hour.
Choose the graph that matches the following system of equations:
Explain to me why I got this wrong!!! Please
8x + 5y = −5
7x − 3y = 3 (6 points)
Answers
.. x/(-5/8) +y/(-1) = 1
.. x/(3/7) +y/(-1) = 1
The first line has intercepts (-5/8, 0) and (0, -1).
The second line has intercepts (3/7, 0) and (0, -1)
In the second graph, the (blue) line with positive slope has an x-intercept greater than 1/2. Neither line matches that. The intercepts match those of the first graph.
Describe the relationship among the lengths of the segments formed by the secant, , and the tangent segment, .You may use words and/or an equation.
Suppose in. and in. Is it possible to find the length of ? If so, show how to find the length. If not, explain why not.
Answers
If we know that RT is 9 and ST is 4, we could write the following equation.
Let TU = x
x^2 = 9 x 4
x^2 = 36
x = 6
We found the length of TU to be 6 inches.
We can write the answers as -
TU² = TR x TSTU = 6 What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the equation as -
3√x + 3 = 15
{ 1 } -
When a tangent and a secant are drawn from one single external point to a circle, square of the length of tangent segment must be equal to the product of lengths of whole secant segment and the exterior portion of secant segment. We can write -
TU² = TR x TS
{ 2 } -
We can write -
TU² = TR x TS
TU² = 9 x 4
TU² = 36
TU² = ± 6
TU = 6 {non - negative}
Therefore, we can write the answers as -
TU² = TR x TSTU = 6To solve more questions on algebraic expression, visit the link below -
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The probability that it'll rain tomorrow in Ohio is 30%
The probability that it'll rain tomorrow in both Ohio and Alaska is 12%
If it rains tomorrow in Ohio what is the probability that it will rain tomorrow in Alaska?
Answers
For two independent events (let's call them A and B), the Probability of A and B both occurring is given by P(A and B) = P(B) x P(B).
For this problem, let A = rain in Ohio and B= rain in Alaska.
P(A and B) = P(A) x P(B)
[tex] \frac{12}{100} =(P(A))( \frac{3}{10} ) [/tex]
[tex]( \frac{12}{100}) ( \frac{100}{30} )=P(A)[/tex]
[tex]P(A)= \frac{12}{30}= \frac{2}{5} [/tex]
Two cones have the same radii but one has a height four times larger than the other. How many small cones would be needed in order to have the same volume as the larger cone?
4
8
16
64
Answers
In this case the volume of the larger cone would be 4 times as large as the smaller cone so you would need 4 small cones
Two angles that are supplementary have a ratio of 7 to 5. what are their measurements?
Answers
12x = 180
x = 15
Therefore, the 2 angles equal (7*15) and (5*15) which equals
105 degrees and 75 degrees
A bag contains 8 black marbles, 16 white marbles, 14 red marbles, and 10 green marbles. A marble is drawn at random from the bag. What is the probability that the marble drawn will not be white? 13 23 34 1516
Answers
Answer: The answer is 2/3.
Jim and Gail invested a total of $3,600 in a stock, in a ratio of 5:7. The stock made $6,450 on top of the initial capital. If the payoff is done in the same ratio, how much does Gail get?
Answers
"Since the ratio is 5:7 you can think in total there was 12 equal blocks of money invested. 5 of those blocks belonged to Jim and 7 of those blocks belonged to Gail. Since they invested $3,600 and then made $6,450 in total there is $10,050. Divide that total into 12 equal blocks of $837.50 and 5 of those blocks belong to Jim. So he will get $4,187.50"
The amount that Gail will get is $5862.5.
What is Ratio?A ratio is a comparison of two quantities produced by dividing the first by the second. If a and b are two values of the same kind and with the same units, and b is not equal to zero, then the quotient a/b is known as the ratio between a and b. The colon sign is used to denote ratios (:). This means that the ratio a/b has no unit and can be expressed as a: b.
Given:
Jim and Gail invested a total of $3,600 in a stock, in a ratio of 5:7.
The stock made $6,450 on top of the initial capital.
Total they made
= 3600+ 6450
= $10, 050
The pay off Jim get
= 10, 050 x 5/12
= 4187.5
and, the pay off Gail get
= 10, 050 x 7/12
= $5862.5
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Please help
According to Cavalieri's principle,
A) the volume of the sphere is equal to the volume of the cones.
B) the volume of the sphere is equal to the volume of the cylinder.
C) the volume of the sphere is equal to two times the volume of the cones.
D) the volume of the sphere is equal to the volume of the solid between the cones and the cylinder.
Answers
Answer:
Step-by-step explanation:
The answer is d.
Answer:
d
Step-by-step explanation:
∆ABC has the points A(1, 7), B(-2, 2), and C(4, 2) as its vertices.
The measure of the longest side of ∆ABC is ______ units. ∆ABC is_____ triangle.
If ∆ABD is formed with the point D(1, 2) as its third vertex, then ∆ABD is _____ triangle. The length of side AD is ______ units.
1.
B.29^(1/2) .
C.34^(1/2)
D.6
2.
A.equlaterial
B.isoclese
C.right
D.scalene
3.
A.equilateral
B.right isosceles
C.right scalene
D.non-right isosceles
E.non-right scalene
4.
A.3
B.5
C.8
D.10
Answers
2. B isosceles
3. C right scalene
4. B 5
The measure of the longest side of ∆ABC is 6 units. ∆ABC is a right scalene triangle. ∆ABD is also a right scalene triangle and the length of side AD is 5 units.
The measure of the longest side of ∆ABC can be found using the distance formula.
We calculate the distance between points A(1, 7) and B(-2, 2), between points B(-2, 2) and C(4, 2), and between points A(1, 7) and C(4, 2).
The longest distance is the measure of the longest side.
Using the distance formula, we find that the longest side is 6 units long.
∆ABC is a right scalene triangle.
This is because the lengths of its sides are all different and it has a right angle at point C, where the x-coordinate doesn't change but the y-coordinate does.
∆ABD is also a right scalene triangle.
The length of side AD can be found using the distance formula between points A(1, 7) and D(1, 2).
The length of side AD is 5 units.
On the rectangular coordinate system, what is the shortest distance between points (−4, 3) and (−2, −1)?
Answers
Shortest Distance = [tex] \sqrt{ (-2)^{2} + (4)^{2} } [/tex]
Shortest Distance = [tex] \sqrt{20} [/tex]
Shortest Distance = [tex]4.47 units[/tex]
Answer:
In other words to what the dude above me said, the answer is "a''
Step-by-step explanation:
Compare the properties of the diagonals of a kite with those of a square.
Answers
2. Diagonals of a kite intersect at right angles
3. One of the diagonals is the perpendicular bisector of another.
While the square..
1. Diagonals are equal and are perpendicular bisectors of each other
Diagonals of square are congruent while diagonals of kite are not congruent to each other.
What is diagonal?
" Diagonal is a straight line segment which connects the opposite vertices of any polygon or polyhedron."
Compare the properties of diagonal of square and kite
1) Diagonals of square are congruent while diagonals of kite are not of same length.
2) Diagonals of square bisect each other while in kite longer diagonals bisects the smaller one.
3) Diagonals of square and kite are perpendicular to each other.
Hence, diagonals of square are congruent while diagonals of kite are not congruent to each other.
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Suzy likes to mix and match her 3 necklaces, 2 bracelets, and 6 hats. The colors are listed in the table. On Monday, she randomly picks a bracelet, a necklace, and a hat. What is the probability of Suzy choosing a red bracelet and silver hat? NECKLACE COLORS: RED ,GREEN ,GOLD BRACELET COLORS: RED AND BLACK HAT COLORS: SILVER, YELLOW, GREEN, GOLD, BLACK, AND WHITE A. one-half B. one-fourth C. start fraction 1 over 6 end fraction D. start fraction 1 over 12 end fraction
Answers
We have:
3 Necklaces (red, green, and gold)
2 Bracelets (red and black)
6 hats (silver, yellow, green, gold, black, and white)
The number total of combinations is:
C=3x2x6→C=36 possible combinations
What is the probability of Suzy choosing a red bracelet and silver hat?
Possible combinations with a red bracelet and silver hat:
C1=1 (red bracelet) x 1 (silver hat) x 3 (necklaces: red, green, and gold)
C1=3 possible combinations with a red bracelet and silver hat
Probability of Suzy choosing a red bracelet and silver hat: P=C1/C
P=3/36
Simplifying the fraction dividing the numerator and the denominator by 3:
P=(3/3) / (36/3)
P=1/12
Answer: The probability of Suzy choosing a red bracelet and silver hat is 1/12
Answer:
The probability of Suzy choosing a red bracelet and silver hat is 1/12
Step-by-step explanation:
Each one of the red, green, and gold necklace have a probability of 1/3.
Each one of the red and black bracelet have a probability of 1/2.
Each one of the silver, yellow, green, gold, black, and white hat have a probability of 1/6.
Hence, the probability of Suzy choosing a red bracelet and silver hat becomes:
[tex]\frac{1}{2}*\frac{1}{6} =\frac{1}{12}[/tex]
So, the answer is 1/12.
Fan for everyone who helps, medal for whoever helps the most! :)
1. What is the sum of the polynomials?
(m + n + 3) + (m + n + 4)
2. Which expression can be used to find the difference of the polynomials?
(10m – 6) – (7m – 4)
3. Which expression can be used to find the difference of the polynomials?
(4m – 5) – (6m – 7 + 2n),
Answers
Answer:
1- The sum is: 2m + 2n + 7 = 2(m+n) + 7
2- The difference is: 3m - 2
3- The difference is: -2m - 2n + 2 = -2(m+n-1)
Explanation:
Before we begin, remember the following:
+ve * +ve = +ve
-ve * -ve = -ve
+ve * -ve = -ve
-ve * +ve = -ve
Also, remember that, we only add/subtract like terms. There are terms which have the same variable(s) raised to the same degree
Now, let's check the problems:
Problem 1:
Adding two polynomials:
(m + n + 3) + (m + n + 4)
We first start by getting rid of the brackets:
m + n + 3 + m + n + 4
Now, we add like terms:
2m + 2n + 7
As an additional step, we can take 2 as a common factor from the first two terms:
2(m+n) + 7
Problem 2:
Subtracting two polynomials:
(10m - 6) - (7m - 4)
We first start by getting rid of the brackets. Take care of the different signs while doing so:
10m - 6 - 7m + 4
Now, we add/subtract like terms:
3m - 2
Problem 3:
Subtracting two polynomials:
(4m - 5) - (6m - 7 + 2n)
We first start by getting rid of the brackets. Take care of the different signs while doing so:
4m - 5 - 6m + 7 - 2n
Now, we add/subtract like terms:
-2m - 2n + 2
As an additional step, we can take -2 as a common factor from the above expression:
-2(m+n-1)
Hope this helps :)
Batteries for an MP3 player usually cost $8.00, but they are on sale for 40% off. What is the discount amount? What is the sale price for these batteries?
Answers
Answer:
its b!
Step-by-step explanation:
discount is $8 = 40/100 to find that discout
is $3.20
sale price : $8.00 - $3.20 which is $4.80!
Your welcome! :D
Given the function f(x) = 0.5(3)x, what is the value of f−1(7)?
This question has been asked before but the answer is unclear to me.
Answers
[tex]\bf \stackrel{f(x)}{y}=0.5(3)^x\qquad \stackrel{inverse}{\boxed{x}=0.5(3)^{\boxed{y}}} \\\\\\ log(x)=log[0.5(3)^y]\implies log(x)=log(0.5)+log[(3)^y] \\\\\\ log(x)-log(0.5)=log[(3)^y]\implies log(x)-log(0.5)=y\cdot log(3) \\\\\\ \cfrac{log(x)-log(0.5)}{log(3)}=\stackrel{f^{-1}(x)}{y}\\\\ -------------------------------\\\\ f^{-1}(7)=\cfrac{log(7)-log(0.5)}{log(3)}\implies f^{-1}(7)\approx 2.402173502732879697[/tex]
Write an equation to represent, "sum of eight and a number is one hundred". What is the number?
Answers
One inch on a map equals 300 miles. it is 1/4¨ from el paso texas, to bismarck north dakota. how many miles would it be?
Answers
The value of 1/4 inch in miles from the given map is; 75 miles
How do you convert the measurement?We are given that;
1 inch on the map = 300 miles
Now, we want to find what 1/4 inch will give us in miles from the given conversion. Thus;
1/4 inch in miles = 1/4 * 300
⇒ 75 miles
Thus, we will conclude that 1/4 inch will yield 75 miles on the map.
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