Answers
Answer:
the last one .
Step-by-step explanation:
like my answer and brainliest please
Related Questions
in a certain company 120 of the employees are men. what is the total number of employees if 5 out of every 8 employees are men?
Answers
Answer:
There are 192 employees in the company.
Step-by-step explanation:
Let x be the total number of employees
Use ratio and proportion
\(\frac{120}{x} =\frac{5}{8} \\5x = 120(8)\\5x = 960\\\frac{5x}{5} = \frac{960}{5} \\x = 192\)
x = 192
What is the measure of EBG?
Answers
Answer:
Easy. 41+32= 73 degrees
Step-by-step explanation:
Find the volume & surface area of each figure. Round your answers to the nearest hundredth, if necessary.
Answers
Answer:
15) surface area = 791.68, volume = 1693.32
16) surface area = 138.23, volume = 113.1
17) surface area = 650.87, volume = 1073
18) surface area = 34.87, volume = 10.52
19) surface area = 153.94, volume = 179.59
20) surface area = 314.16, volume = 523.6
Step-by-Step Explanation:
sorry I didn't add the cm or inches or km in my answers :)
Find the next two terms in this
sequence.
1, -3, 9, -27, 81, [ ? ], [ ? ]
Answers
Answer:
the answers are -243 and 729
Step-by-step explanation:
you multiply each by -3. 1x-3 gives you -3. -3x-3 gives you 9. -3x9 gives you -27. -27x-3 gives you 81. 81x-3 gives you -243 and -243x-3 gives you 729. i hope this helps.
What is the transfer function of low pass filter?
Answers
The transfer function of a low pass filter is a mathematical expression that describes the relationship between the input and output signals of a filter.
What is function?Function is a rule that assigns a unique output for each input of a given set of inputs. A function can be expressed mathematically, as in y = f(x), where f is the function and x is the input. Functions can also be expressed in programming, where they take the form of commands that take an input and produce an output. Functions are essential to computing and are used to perform a wide variety of tasks.
It is usually expressed in terms of frequency, and the output signal is a function of the frequency of the input signal. The transfer function can be written as a ratio of two polynomials in the frequency domain.
In a low pass filter, the transfer function is designed to pass low-frequency signals and block high-frequency signals. This is achieved by designing the filter to attenuate (reduce) the amplitude of high-frequency signals, while not significantly affecting the amplitude of low-frequency signals. The transfer function of a low pass filter takes the form of a roll-off curve, where the rate of attenuation gets steeper at higher frequencies.
The transfer function of a low pass filter is typically used to model the behavior of a physical filter, such as an RC circuit or a digital filter. It can also be used to analyze the frequency response of a system, such as a speaker system or a microphone. The transfer function can be used to optimize the design of a filter for a particular application.
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The magnitude of the motional electromotive force (emf) induced in the rod can be determined using the equation e = B * L * v, where B is the magnetic field strength, L is the length of the rod, and v is the velocity of the rod relative to the magnetic field.
When a conducting rod moves through a magnetic field, an emf is induced in the rod due to the interaction between the magnetic field and the moving charges in the conductor. The magnitude of this motional emf can be calculated using the equation e = B * L * v, where B is the strength of the magnetic field, L is the length of the rod perpendicular to the magnetic field, and v is the velocity of the rod relative to the magnetic field.
The motional emf is directly proportional to the magnetic field strength, the length of the rod, and the velocity at which the rod moves through the magnetic field. As any of these parameters increase, the magnitude of the induced emf will also increase. It is important to note that the direction of the induced emf is determined by the direction of the velocity and the magnetic field.
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what is a square plus b square?????????????????
Answers
Answer:
c squared
Step-by-step explanation:
Answer:
C Squared
Step-by-step explanation:
Write a olution that contain ax2=y and ha no olution when a=4 and one olution otherwie
Answers
The equation "ax2 = y," which has one solution unless a = 4, and none unless a = 4, has a solution. x = √(-4ay) / (2a) restricted by the condition that y be negative.
We may use the quadratic formula to determine the solutions to an equation for various values of an to construct a solution to the equation "ax² = y," which has no solution when a = 4 & just one solution in all other cases.
According to the quadratic formula, the answers to the problem "ax2 + bx + c = 0" are provided by
x = (-b +/- √(b² - 4ac)) / (2a)
In this formula, if we add "ax² = y," we obtain
x = (-0 +/- √(0² - 4ay)) / (2a)
which simplifies to
x = √(-4ay) / (2a)
If a = 4, the equation becomes
x = √(-16y) / 8
The equation has no solutions if y is positive because the value of (-16y) is fictitious. The value of (-16y) is real if y is negative, but the equation is still unsolvable since x cannot have a negative value. As a result, when a = 4, the problem has no solutions.
The equation has a single solution provided by any other value of a.
x = √(-4ay) / (2a)
For example, if a = 3, the equation becomes
x = √(-12y) / 6
Since √(-12y) is imaginary if y is positive, the problem has no solutions. If y is negative, √(-12y) has a real value, and there is only one solution to the problem.
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A circle is centered at the point (-7, -1) and passes through the point (8, 7).
The radius of the circle is ___ units. The point (-15, ___) lies on this circle. What are the answers?
Answers
Answer:
Find Radius using distance formula.
\(radius = \sqrt{(8 -- 7)^2 +(7--1)^2} \\\)
=\(\sqrt{15^2 + 8^2} = \sqrt{225 + 64 } =\sqrt{289} = 17 units\)
Since the point (-15, y) lies on the circle. The distance between (-7, -1) and
(-15, y ) will be 17 units.
So again using distance formula we will find y.
\(radius = \sqrt{(-7 --15)^2 + (-1-y)^2} \\\\17 = \sqrt{8^2 + (y+1)^2}\\\\squaring \ both \ sides \\\\289 = 64 + (y+1)^2\\\\289-64=(y+1)^2\\\\225 = (y+1)^2\\\\taking \ squaring \ root\\\\15 = y+1\\\\y=14\)
point (-15, 14)
Help!! Stuck on math problem!
Fast answers are appreciated, thanks :)
The graph of the function has a vertical asymptote of x = ______
The graph of the function has a horizontal asymptote of y = ______
Answers
x=0
x=0
Horizontal Asymptotes:
y=0
y=0
No Oblique Asymptotes
The face of a clock is divided into 12 equal parts. The radius of the clock face is 10 inches. Assume the hands of the clock will form a central angle.
The face of a clock is divided into 12 equal parts.
Which statements about the clock are accurate? Select three options.
The central angle formed when one hand points at 1 and the other hand points at 3 is 30°.
The circumference of the clock is approximately 62.8 inches.
The minor arc measure when one hand points at 12 and the other hand points at 4 is 120°.
The length of the major arc between 3 and 10 is approximately 31.4 inches.
The length of the minor arc between 6 and 7 is approximately 5.2 inches.
Answers
The accurate statements about the clock are:
The circumference of the clock is approximately 62.8 inches.
The length of the major arc between 3 and 10 is approximately 31.4 inches.
The length of the minor arc between 6 and 7 is approximately 5.2 inches.
The circumference of the clock is approximately 62.8 inches.
The circumference of a circle is calculated using the formula C = 2πr, where r is the radius of the circle.
Given that the radius of the clock face is 10 inches, the circumference can be approximated to \(2 \times 3.14 \times 10 = 62.8\) inches.
The length of the major arc between 3 and 10 is approximately 31.4 inches. The major arc is the longer arc between two points on the circumference of a circle.
To calculate the length of an arc, we use the formula L = (θ/360) \(\times\) C, where θ is the central angle in degrees and C is the circumference of the circle.
The central angle between 3 and 10 is 210° (calculated as 10 - 3 = 7 segments \(\times\) 30° per segment).
Plugging in the values, we get L = (210/360) \(\times\) 62.8 ≈ 36.77 inches.
The length of the minor arc between 6 and 7 is approximately 5.2 inches. Similar to the previous statement, the length of an arc is calculated using the formula L = (θ/360) \(\times\) C.
The central angle between 6 and 7 is 30°, as there is one segment between them.
Plugging in the values, we get L = (30/360) \(\times\) 62.8 ≈ 5.23 inches.
The statement about the central angle formed when one hand points at 1 and the other hand points at 3 being 30° is incorrect, as the central angle between 1 and 3 is 60°.
The statement about the minor arc measure when one hand points at 12 and the other hand points at 4 being 120° is also incorrect, as the minor arc between 12 and 4 is 240°.
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Answer:
b, d, and e
Step-by-step explanation:
i just did it
two poles are connected by a wire that is also connected to the ground. the first pole is 20 ft tall and the second pole is 10 ft tall. there is a distance of 30 ft between the two poles. where should the wire be anchored to the ground (in ft, from the shorter pole) to minimize the amount of wire needed?
Answers
The wire should be anchored to the ground to minimize the amount of wire needed 20 ft from the left pole.
What is the quadratic equation?
ax2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.
Let x (ft) be the distance from the base of the left pole to the anchor point. Since 2 poles has a distance of 30 ft, the distance from the anchor point to the right pole is 30 - x.
The wire length from the top of the left pole to the anchor point is
\(L^{2} _{l} = 20^{2} + x^{2} = x^{2} + 400\)
Similarly for the 2nd part of the wire
\(L^{2} _{t} = 10^{2} + (30 - x^{2})\)
= 100 + 900 - 60x + x²
= x²+ 1000 - 60x
We want to minimize the length of the wires, or \(L^{2} _{l} + L^{2} _{r}\)
\(\frac{x}{\sqrt{{x}^2 + 400} } + \frac{x - 30}{\sqrt{{x}^2 + 400}} = 0\)
we can take the first derivative of this and set it to 0
x = 20
Hence, the wire should be anchored to the ground to minimize the amount of wire needed 20ft.
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1. Differentiate the function f(x) = ln (81 sin^2 (x)) f’(x) 2. Differentiate the function P(t) = in ( √t2 + 9) p' (t) 3. if x2 + y2 + z2 = 9, dx/dt = B, and dy/dt = 4, find dz/dt when (x,y,z) = (2,2,1)
dz/dt =
Answers
First you will get 4dz
A pickup truck starts from rest and maintains a constant acceleration an. After a time to, the truck is moving with speed 25 m/s at a distance of 120 m from its starting point. When the truck has travelled a distance of 60 m from its starting point, its speed is V1 m/s. 1) Which of the following statements concerning vị is true? Vi < 12.5 m/s O V1 = 12.5 m/s Ovı > 12.5 m/s 2) When the truck has travelled for a time t2 = to/2, its distance from its starting point is s2. Which of the following statements concerning sz is true? OS2 < 60 m S2 = 60 m O 2> 60 m 3) How long does it take for the pickup to reach its speed of 25 m/s? Oto = 3.1 s Oto = 4.8 s Oto = 6.8 s to = 9.6 s Oto = 13.4 s
Answers
A pickup truck starts from rest and maintains a constant acceleration an then, 1) option A V1 < 12.5 m/s. is correct. 2) S2 > 60 m option C is correct. 3) to = 0.480 s option B is correct.
Given,
initial velocity u = 0,
final velocity v = 25 m/s,
distance travelled s = 120 m,
distance travelled when velocity is V1 = 60 m,
acceleration a = an.
1) The formula to calculate final velocity is:
v² - u² = 2as ⇒ a = (v² - u²) / 2s (Since we know u, v, and s)
Let us calculate an with the help of this equation.
a = (v² - u²) / 2s = (25² - 0) / 2 × 120 = 52.08 m/s²
Now, at distance 60 m, let velocity be V1,
we know that v² - u² = 2 as
⇒ V1² - 0 = 2 × 60 × an
⇒ V1² = 120an
⇒ an = V1²/120
Again using the formula,
v² - u² = 2as
⇒ 25² - 0 = 2 × 120 × an
⇒ an = 25²/240 = 2.60417 m/s²
V1² = 120 × 2.60417/120 = 2.60417 m/s²
So, V1 < 12.5 m/s.
Hence, option A is correct.
2) Distance covered in time to is 120 m.
s = ut + 1/2at²⇒ 120 = 0 × to + 1/2an (to)²
⇒ to² = 240/an
⇒ to = √(240/an)
Now, distance travelled after time to/2, t2 = to/2s2 = ut2 + 1/2at2²
Since u = 0,
⇒ s2 = 1/2 × an × (to/2)²
⇒ s2 = an × to² / 8
⇒ s2 = an × 240/an × 8 = 192 m
S2 > 60 m.
Hence, option C is correct.
3) Using the formula,
v = u + at
Since the initial velocity u = 0,
⇒ 25 = 0 + an × to
⇒ to = 25/an
From part 1, we know that, an = 52.08 m/s²
⇒ to = 25/52.08⇒ to = 0.480 s
Therefore, to = 0.480 s. Hence, option B is correct.
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Devin walked 4.5 miles. There are approximately 1.6 kilometers in 1 mile.
How many kilometers did Devin walk, rounded to the nearest tenth?
Answers
Answer:
Approximately 7.2 kilometers
Step-by-step explanation:
4.5(miles walked)*1.6(kilometers in mile)=7.2(kilometers in 4.5 miles)
Answer:
7.2 kilometres
Step-by-step explanation:
4.5 * 1.6
PLSSSSSSSSS I REALLY NEED HELP DO I PUT A RAY HERE
Answers
A basketball player has a 0.603 probability of making a free throw. if the player shoots 28 free throws, what is the probability that she makes no more than 20 of them?
Answers
The probability that she makes no more than 20 of them is 0.394
We use Binomial Distribution in solving this question.
The discrete probability distribution known as the binomial distribution only offers two outcomes for an experiment: success or failure.
Sum of independent Bernoulli trials is binomial distribution; a random Variable x is said to be following binomial distribution if it's density is given as
P(X=x) = (nCx) px (1−p)n−x where x=0,1,2…n
Let x denotes the number of throws that makes a free throw so here
x follows Binomial distribution with n=28 and p=0.603
Thus, we calculate
P(X≤20) =∑_(k=0)^1▒1= (28Ck)0.603k (1−0.603)28−k =0.3144
=0.394
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Find the value of 3^2 + 2^2. *
O A. 6
B. 7
C. 11
D. 13
Answers
Answer:
D
Step-by-step explanation:
Answer:
D.13
Step-by-step explanation:
3^2=9
2^2=4
9+4=13
A 90% confidence interval for the mean of a population is computed to be 135 to 160. Which one of the following claims would the interval tend to refute?A. The population mean is more than 110.B. The population mean is less than 150.C. The population mean is between 140 and 150.D. The population mean is more than 140.E. The population mean is less than than 125.
Answers
Therefore, the only claim that the interval would tend to refute is option E: The population mean is less than 125.
Based on the 90% confidence interval of 135 to 160, we can conclude that the population mean is likely to be within this interval with a 90% degree of confidence.
A. The claim that the population mean is more than 110 is not refuted by the confidence interval since the lower limit of the interval is above 110.
B. The claim that the population mean is less than 150 is not refuted by the confidence interval since the upper limit of the interval is above 150.
C. The claim that the population mean is between 140 and 150 is not refuted by the confidence interval since both values are within the interval.
D. The claim that the population mean is more than 140 is not refuted by the confidence interval since the lower limit of the interval is above 140.
E. The claim that the population mean is less than 125 is refuted by the confidence interval since the lower limit of the interval is above 125.
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The temperatures at several times of the day are shown in the coordinate plane below. The xxx-axis represents the number of hours before or after noon. For example, -1−1minus, 1 would represent 11 \text{ a.m.}11 a.m.11, start text, space, a, point, m, point, end text The yyy-axis represents the temperature in degrees Celsius. At 5 \text{ p.m.}5 p.m.5, start text, space, p, point, m, point, end text, the temperature is halfway between the temperature at 2 \text{ p.m.}2 p.m.2, start text, space, p, point, m, point, end text and the temperature at 8 \text{ p.m.}8 p.m.8, start text, space, p, point, m, point, end text What coordinates represent the temperature at 5 \text{ p.m.}5 p.m.5, start text, space, p, point, m, point, end text ?
Answers
Answer:
5,2
Step-by-step explanation:
Answer:
5, 2
Step-by-step explanation:
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a rectangular garden measures 15 m long and 13.70 m wide. what is the length of a diagonal from one corner of the garden to the opposite corner?
Answers
The length of a diagonal from one corner of the garden to the opposite corner is equal to the square root of the sum of the squares of the lengths of the sides of the garden. So, the length of the diagonal is about 20.2 meters.
Here's the solution:
Let d be the length of the diagonal.
We know that the length of the garden is 15 m and the width of the garden is 13.70 m.
We can use the Pythagorean theorem to find the length of the diagonal:
d^2 = 15^2 + 13.70^2
d = sqrt(15^2 + 13.70^2)
d = sqrt(225 + 187.69)
d = sqrt(412.69)
d = 20.2 m (rounded to the nearest tenth)
What does it mean when an observational study is prospective?
- A prospective study requires that individuals took hack in time or require the researcher to look at existing records - A prospective study collects the data over time.
- A prospective study is a list of all individuals in a population along with certain characteristics of each individual.
Answers
Prospective observational studies involve collecting data from participants before an event or outcome occurs, while retrospective observational studies collect data after the event has already taken place.
A prospective observational study is a type of observational study that involves collecting data from participants before an event or outcome occurs. This type of study is used to predict and measure outcomes in the future.
In this type of study, the researcher can control the variables, such as when and how the data is collected, and can also observe the effects of any changes in the environment.
On the other hand, a retrospective observational study is a type of observational study that involves collecting data after an event or outcome has already taken place. This type of study is used to study the causes of a given outcome.
In this type of study, the researcher looks back in time and collects data from the past. This type of study is more limited than a prospective observational study, since the researcher cannot control the variables of the study or observe any changes in the environment.
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What are the steps necessary to show that JH = VU
Check all that apply.
Answers
Answer:
THANK YOUUU for those who can't see the image its answer choices B , C , and E
Step-by-step explanation:
By using distance formula, JH=VU=√13 units. Therefore, option B, C and E are the correct answers.
Given that, JH=VU.
What is distance formula?The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula. On 2D plane the distance between two points (x1, y1) and (x2, y2) is Distance = √[(x2-x1)²+(y2-y1)²].
From the triangle UVW, we have V(5, 2) and U(2, 4).
From the triangle JKH, we have J(-5, -3) and H(-3, 0).
Now,
VU = √[(2-5)²+(4-2)²]
= √13 units
JH = √[(-3-(-5))²+(0-(-3))²]
= √[(-3+5)²+(0+3)²]
= √13 units
By using distance formula, JH=VU=√13 units. Therefore, option B, C and E are the correct answers.
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The height h, in feet, that an arrow will reach 1 seconds after being shot directly upward is given by the formula h = 1121 - 1612
How high will the arrow be after 4 seconds?
Answers
Answer:
4484 - 6448
Step-by-step explanation:
Given: 1 second = 1121 - 1612.
To find: How high the arrow will be after 4 seconds.
Solution:
If 1 second = 1121 - 1612, then 4 seconds = 4 × 1
4 × 1121 - 1612 = 4484 - 6448
Therefore, the arrow will be as high as 4484 - 6448 in 4 seconds.
Can anyone help me with this?
Answers
Answer:
a=30°; b=40°;c=40°; d=40°; e=110°: f=110°; g=30°; h=140°; i=70°; j=70°
One of the nuclides in spent nuclear fuel is u-235, an alpha emitter with a half-life of 703 million years. How long will it take for the amount of u-235 to reach 5% of its initial amount? answer in units of 10^9 years (i. E. , 1. 1 * 10^9 -> 1. 1), to 1 decimal place.
Answers
It will take 119 x 10⁶ yr for the amount of u-235 to reach 5% of its initial amount.
Explain the term radioactive decay?Ionizing radiation is released as a result of radioactive decay. Ionizing radiation offers a health concern by destroying tissue and the DNA in genes because it can damage the atom in living things. Alpha particles may be present in the ionizing radiation which is released.In the radioactive nuclides, the time for decay is;
t = -2.303 /k log (A/A₀)
In which, k is the decay constant .
k = 0.693/ t₁/₂ for- ₁/₂ is the half-life.
k = 0693/ 703 x 10⁶ yrs = 9.85 x 10⁻¹⁰ /yr
A = amount left after time t
A₀ = Original amount present
Thus,
t = -2.303 / 9.85 x 10⁻¹⁰ /yr x log (0.95)
t = 119 x 10⁶ yr
Thus, it will take 119 x 10⁶ yr for the amount of u-235 to reach 5% of its initial amount.
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What is an equation that shows a line which has a slope of – 3 and goes through (3,-2).
Answers
Answer:
y = - 3x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 3, then
y = - 3x + c ← is the partial equation
To find c substitute (3, - 2) into the partial equation
- 2 = - 9 + c ⇒ c = - 2 + 9 = 7
y = - 3x + 7 ← equation of line
A bakery offers a sale price of 2.55 for 4 muffins.what is the price per dozen?
I hope someone answers fast
And explain what you did
Answers
Answer: $7.65 for a dozen/12
Step-by-step explanation: 2.55 x 3
Lynn is at a store and wants to buy a new backpack that costs $55. she only has $35 with her, but she has the rest at home. lynn also has a credit card that does not charge her any interest if she pays the balance in full by the end of the month. why might lynn want to wait until she has $55 in cash at the store to purchase the backpack, instead of using her credit card?
Answers
Lynn wants to wait because (D) she would likely have to pay more than $55 at the time of purchase for the convenience of using her credit card.
What is a credit card?A credit card is a payment card that is issued to users (cardholders) to allow them to pay merchants for products and services based on the cardholder's incurred debt (i.e., promise to the card issuer to pay them for the amounts plus the other agreed charges). The card issuer (typically a bank or credit union) opens a revolving account and offers the cardholder a line of credit, from which the cardholder can borrow money to pay a merchant or for a cash advance.
The answer to why Lynn wants to wait would be:
The answer will be (D) she would likely have to pay more than $55 at the time of purchase for the convenience of using her credit card. A and B don't make sense, because who cares about what happens to the store's money, and C can't be true because we don't know what kind of a person Lynn is. Most people don't forget to pay their bills.Therefore, Lynn wants to wait because (D) she would likely have to pay more than $55 at the time of purchase for the convenience of using her credit card.
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The complete question is shown below:
Lynn is at a store and wants to buy a new backpack that costs $55. she only has $35 with her, but she has the rest at home. Lynn also has a credit card that does not charge her any interest if she pays the balance in full by the end of the month. why might Lynn want to wait until she has $55 in cash at the store to purchase the backpack, instead of using her credit card?
a. Using a credit would cause the store to lose money because even if she pays back her bill in full, she will still need to pay the credit card company additional dollars for the convenience of borrowing money.
b. Using cash would cause the store to lose a large amount of money because credit card companies offer incentives to stores based on the number of people who use their cards.
c. She might forget to pay the credit card bill, which would make her purchase more expensive due to interest payments and late charges.
d. She would likely have to pay more than $55 at the time of purchase for the convenience of using her credit card.
if a math expression adds a float to an int, the data type of the result will be a(n)____
Answers
If a math expression adds a float to an int, the data type of the result will be a float. This is because when a float and an int are added, the result is a float. This is because a float is a larger and more precise data type than an int. When an int is added to a float, the int is first converted to a float, and then the addition takes place.
This conversion ensures that the result is a float. In general, whenever we perform any arithmetic operation on two different data types, the result will be of the larger or more precise data type. It is important to keep this in mind while performing mathematical operations, as it can impact the accuracy and precision of our calculations.
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find an equation of the tangent line to the curve at the given point. y = 2ex cos(x), (0, 2)
Answers
The equation of the tangent line to the curve `y = 2ex cos(x)` at the point (0,2) is given by `y = 2ex + 2`.
To find an equation of the tangent line to the curve at the given point (0,2) whose equation is given by `y = 2ex cos(x)`, we need to determine the derivative `y'` of `y = 2ex cos(x)` first. Using the product rule, we have;
`y = 2ex cos(x)`...let `u = 2ex` and `v = cos(x)`, then `u' = 2ex` and `v' = -sin(x)`.`y' = u'v + uv'` `= 2ex cos(x) - 2ex sin(x)` `= 2ex(cos(x) - sin(x))`
Therefore, the derivative of `y = 2ex cos(x)` is `y' = 2ex(cos(x) - sin(x))`.
The equation of the tangent line to the curve at the point (0,2) is obtained by using the point-slope formula, which is given by: `y - y1 = m(x - x1)`where `(x1,y1)` is the point of tangency, `m` is the slope of the tangent line.
Substituting the values of `m`, `x1` and `y1`, we obtain: `m = y' |(0,2)` `= 2e(1 - 0)` `= 2e`Using the point-slope formula with `(x1,y1) = (0,2)` and `m = 2e`, we have: `y - 2 = 2e(x - 0)` `y - 2 = 2ex` `y = 2ex + 2`
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