Answers
Integration of [tex]\int\limits^6_0 {\frac{8}{1+74e^{-0.3t} } } \, dt[/tex] is 2.199.
We can solve this integral using the substitution method, where u = 1 + 74[tex]e^{-0.3t}[/tex] . Taking the derivative of both sides, we have du/dt = -222[tex]e^{-0.3t}[/tex] .
We can rewrite the integral in terms of u:
∫[8/(1+74[tex]e^{-0.3t}[/tex] )]dt = ∫[8/u * (-1/222) * (-222[tex]e^{-0.3t}[/tex] )]du
Simplifying this expression, we have:
= (-8/222) ∫[1/u] du
= (-4/111) ln|u| + C
where C is the constant of integration.
Substituting back for u, we have:
= (-4/111) ln|1 + 74[tex]e^{-0.3t}[/tex] | + C
To evaluate the definite integral from 0 to 6, we plug in the limits of integration:
= (-4/111) [ln | 1 + 74[tex]e^{-0.3(6)}[/tex] | - ln | 1 + 74[tex]e^{-0.3(0)}[/tex] |]
= (-4/111) [ln|1 + 74[tex]e^{-1.8}[/tex]| - ln75]
≈ 2.199
Therefore, the value of the definite integral is approximately 2.199.
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Related Questions
1. Your utility company charges 10 cents per kilowatt hour of electricity. Complete parts (a) and (b) below.
a) What is the daily cost of keeping a 100-watt light bulb lit for 5 hours each day?
Answer:
b) How much will you save in a year if you replace the bulb with an LED that provides the same amount of light using only 26 watts of power? Round your answer to the nearest cent.
Answer:
Answers
1. Daily cost of keeping the bulb lit for 5 hours is 5 cents.
2. Switching to an LED bulb could save $13.50 in a year.
What is costs of running a 100-watt light bulb?Power consumed by the 100-watt bulb in 5 hours is:
= 100 watts x 5 hours
= 500 watt-hours
= 0.5 kilowatt-hours
The cost of electricity for 0.5 kilowatt-hours at a rate of 10 cents per kilowatt-hour is:
= 0.5 kWh x 10 cents/kWh
= 5 cents
b. The power consumed by the 26-watt LED bulb over 5 hours is:
= 26 watts x 5 hours
= 130 watt-hours
= 0.13 kilowatt-hours
The cost of electricity for 0.13 kilowatt-hours at a rate of 10 cents per kilowatt-hour is:
= 0.13 kWh x 10 cents/kWh
= 1.3 cents
Annual savings is:
= (Daily cost 100-watt bulb - Daily cost LED bulb) * 365 days
= (5 cents - 1.3 cents) x 365 days
= $13.50.
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Homework help?!?!?!
Answers
Answer:
1. The slope of the line is 3. The line goes up 3, over 1, and since slope is rise/run, the slope is 3.
2. The slope of the line is 4. The line goes up 4, over 1, and since slope is rise/run, the slope is 4.
3. The slope of the line is 2. The line goes up 2, over 1, and since slope is rise/run, the slope is 2.
4. The slope of the line is -4. The line goes down 4, over 1, and since slope is rise/run, the slope is -4.
The gradients of line equations are listed below:
m = 3m = 4m = 2m = - 3How to determine the gradient of a line
In this question we have four cases of line equations shown on Cartesian plane, whose gradients must be found. The gradient of each line can be computed by means of secant line formula and two points:
m = Δy / Δx
Where:
Δx - Change in independent variable.Δy - Change in dependent variable.Case 1: (x₁, y₁) = (- 1, - 4), (x₂, y₂) = (1, 2)
m = [2 - (- 4)] / [1 - (- 1)]
m = 3
Case 2: (x₁, y₁) = (- 1, - 1), (x₂, y₂) = (0, 3)
m = [3 - (- 1)] / [0 - (- 1)]
m = 4
Case 3: (x₁, y₁) = (- 1, - 1), (x₂, y₂) = (1, 3)
m = [3 - (- 1)] / [1 - (- 1)]
m = 2
Case 4: (x₁, y₁) = (0, 4), (x₂, y₂) = (2, - 2)
m = (- 2 - 4) / (2 - 0)
m = - 3
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Find the measure of angle 3. 90° 45° 120° 30°
Answers
Use cramers rule to solve the system below
2x -3y = -8
4x + 3y = -34
A) Let A be to coefficient matrix, fill in matrix a below
b) Find the determinant of matrix A.
C) Let Matrix X be the matrix used to solve for the x variable. Write this matrix below
D) find the determinant of matrix X
E) Let Matrix Y be the matrix used to solve for the 'y' variable. Write this matrix below:
F) find the determinant of matrix y
G) write your solution to the system above as a coordinate
Answers
The solution to all parts from a to f is shown below.
A) Matrix A:
[ 2 -3 ]
[ 4 3 ]
B) The determinant of matrix A is:
det(A) = (2*3) - (-3*4) = 6 + 12 = 18
C) Matrix X:
[ -8 -3 ]
[ -34 3 ]
D) The determinant of matrix X is:
det(X) = (-8*3) - (-3*-34) = -24 - 102 = -126
E) Matrix Y:
[ 2 -8 ]
[ 4 -34 ]
F) The determinant of matrix Y is:
det(Y) = 2(-34) - (-8) (4) = -68 + 32 = -36
G) Using Cramer's rule, we can solve for x and y as follows:
x = det(X) / det(A) = -126 / 18 = -7
y = det(Y) / det(A) = -36 / 18 = -2
Therefore, the solution to the system is (-7, -2).
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In a school, there are 4 boys to every 3 girls.
If there are 18 girls, how many boys are there? Show with great detail to every step
Answers
Sure, I'd be happy to help you with this problem!
Given that the ratio of boys to girls in the school is 4:3, we can say that for every 4 boys, there are 3 girls.
Let's start by finding the total number of students in the school, using the information that there are 18 girls.
If 3 girls represent a part of the whole, then we can find the total number of parts by dividing the total number of girls by 3:
18 girls ÷ 3 = 6 parts
So, there are 6 parts in the whole.
Now, since there are 4 boys for every 3 girls, we know that for every 7 parts (4 boys + 3 girls), there are 4 boys.
To find the total number of boys, we need to figure out how many groups of 7 parts there are in the whole.
6 parts ÷ 7 = 0 with a remainder of 6
This tells us that there are 0 groups of 7 parts in the whole, with 6 parts left over.
Since we know that for every 7 parts there are 4 boys, we can find the number of boys in the remaining 6 parts by multiplying 4 by the fraction of 6/7:
4 boys × 6/7 = 24/7 boys
This tells us that there are 24/7 boys in the remaining 6 parts.
To find the total number of boys in the school, we need to add the number of boys in the groups of 7 parts and the number of boys in the remaining 6 parts:
0 groups of 7 parts × 4 boys per group = 0 boys
6 parts × 4 boys per 7 parts = 24/7 boys
Total number of boys = 0 boys + 24/7 boys = 24/7 boys
So, there are 24/7 boys in the school. We can simplify this fraction by dividing both the numerator and the denominator by 3:
24/7 ÷ 3/3 = 8/7 boys
Therefore, there are 8/7 boys in the school, which is approximately 1.14 boys.
However, since we cannot have a fraction of a person, we can round this number to the nearest whole number, which is 1.
Therefore, there is 1 boy in the school for every 3 girls, making a total of:
1 boy × 18 girls = 18 boys
So, there are 18 boys in the school.
The makers of a new app recorded the number of times the app was downloaded each day for the first year the app was available.
Select the correct methods they could use to describe the data.
To describe how the number of daily downloads varies, they could use the median value. To describe how the number of daily downloads varies, they could use the mean absolute deviation.
To describe how the number of daily downloads varies, they could use the maximum value. To summarize the number of daily downloads with a single number, they could use the mean value.
To summarize the number of daily downloads with a single number, they could use the interquartile range. To summarize the number of daily downloads with a single number, they could use the minimum value.
Answers
The best method to describe data is use median value for how number of daily downloads varies, and mean value or interquartile range for number of daily downloads. So, correct options are A, D and E.
The median value is a measure of central tendency that represents the middle value of a set of data. It is useful to describe how the number of daily downloads varies, as it gives an idea of the typical value of the dataset.
However, mean absolute deviation is a measure of dispersion that describes how far the data values are from the mean. It is not an appropriate method to describe how the number of daily downloads varies, as it does not give information about the distribution of the data.
The maximum value is a measure of the largest value in a dataset, which can provide information on the upper limit of the number of daily downloads. However, it is not an appropriate method to describe how the number of daily downloads varies, as it does not give information on the spread or distribution of the data.
The mean value is a measure of central tendency that summarizes the data with a single number, but it may not be the best choice if the data is skewed or has outliers.
The interquartile range is a measure of dispersion that summarizes the spread of the middle 50% of the data. It can be used to summarize the number of daily downloads with a single number, but it does not give information on the typical or extreme values of the dataset.
The minimum value is a measure of the smallest value in a dataset, which can provide information on the lower limit of the number of daily downloads. However, it is not an appropriate method to summarize the number of daily downloads with a single number, as it does not give information on the spread or distribution of the data.
So, correct options are A, D and E.
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Slope of secant line pre calc
Answers
For the function f(x) = -2x² + 5x + 7 the slope of the secant line between x = -3 and x = 5 is -4
Consider the function f(x) = -2x² + 5x + 7
We need to find the slope of the secant line between x = -3 and x = 5
We know that the slope of secant line for the function f(x) on the interval [a, b] is given by the formula,
m = [f(b) - f(a)] / (b - a)
Let [a, b] = [-3, 5]
For x = -3 the value of the function would be,
f(-3) = -2(-3)² + 5(-3) + 7
= -2(9) - 15 + 7
= -18 - 15 + 7
= -26
And the value of the function for x = 5 would be,
f(5) = -2(5)² + 5(5) + 7
= -2(25) - 25 + 7
= -50 - 15 + 7
= -58
Using above formula the slope would be,
m = [f(5) - f(-3)] / (5 - (-3))
m = [-58 - (-26)] / 8
m = (-58 + 26) / 8
m = -4
Thus, the required slope is -4
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Answer:
Slope = 1
Step-by-step explanation:
A secant line is a straight line that intersects a curve at two or more points.
Given a curve represented by a function f(x), a secant line is determined by choosing two distinct points on the curve, (x₁, f(x₁)) and (x₂, f(x₂)).
The secant line passes through these two points and can be represented by a linear equation in the form y = mx + b, where m is the slope of the secant line and b is the y-intercept.
The slope of the secant line between the points (x₁, f(x₁)) and (x₂, f(x₂)) is given by the formula:
[tex]m = \dfrac{f(x_2) - f(x_1)}{x_2 - x_1}[/tex]
To find the slope of the secant line between x = -3 and x = 5 for the function f(x) = -2x² + 5x + 7, first find f(-3) and f(5).
[tex]\begin{aligned}f(-3)&=-2(-3)^2+5(-3)+7\\&=-2(9)-15+7\\&=-18-15+7\\&=-26\end{aligned}[/tex]
[tex]\begin{aligned}f(5)&=-2(5)^2+5(5)+7\\&=-2(25)+25+7\\&=-50+25+7\\&=-18\end{aligned}[/tex]
Input the values into the slope formula:
[tex]m = \dfrac{f(5) - f(-3)}{5 - (-3)}=\dfrac{-18-(-26)}{5+3}=\dfrac{8}{8}=1[/tex]
Therefore, the slope of the secant line between x = -3 and x = 5 is 1.
Solve the problem. At a high school debate tournament, half of the teams were asked to wear suits and ties and the rest were asked to wear jeans and t-shirts. The results are given in the table below. At the 0.05 significance level, test the hypothesis that the proportion of wins is the same for teams wearing suits as for teams wearing jeans. Suit- win= 22 loss=28 t-shirt win= 28 loss=22 . Answer Choices : A.df=4, B.df=1,C.df=2,df=3.
Answers
At the 0.05 significance level, the degree of freedom is 1. So, correct option is B.
To test the hypothesis that the proportion of wins is the same for teams wearing suits as for teams wearing jeans, we can use the chi-square test for independence. The null hypothesis is that the proportion of wins is the same for both groups, and the alternative hypothesis is that they are different.
Using the given data, we can calculate the expected frequencies under the assumption of equal proportions of wins for both groups. The expected frequency for each cell is given by (row total x column total) / grand total.
The calculated chi-square statistic is 2.667, and the degrees of freedom are (r-1)(c-1) = (2-1)(2-1) = 1.
Using a chi-square distribution table with 1 degree of freedom and a significance level of 0.05, the critical value is 3.84. Since the calculated chi-square value is less than the critical value, we fail to reject the null hypothesis.
Therefore, we can conclude that there is not enough evidence to suggest that the proportion of wins is different for teams wearing suits versus jeans and t-shirts at the 0.05 significance level.
The answer choice that corresponds to 1 degree of freedom is B
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What is the increase in Fahrenheit temperature if the Celsius temperature increases by 7°?!
Answers
The increase in Fahrenheit temperature is of 12.6 degrees.
What is the increases in Fahrenheit temperature?The formula to have a change of units is:
To convert Celsius to Fahrenheit, you can use the formula:
°F = (°C x 1.8) + 32
(So you are correct, the rate is 9/5 = 1.8)
The increase of 7°C wold be given by the difference:
increase = ((°C + 7°) x 1.8) + 32 - (°C x 1.8) + 32
Solving that equation we can see that
increase = 12.6°F
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Answer:
he increase in Fahrenheit temperature is of 12.6 degrees.
What is the increases in Fahrenheit temperature?
The formula to have a change of units is:
To convert Celsius to Fahrenheit, you can use the formula:
°F = (°C x 1.8) + 32
(So you are correct, the rate is 9/5 = 1.8)
The increase of 7°C wold be given by the difference:
increase = ((°C + 7°) x 1.8) + 32 - (°C x 1.8) + 32
Solving that equation we can see that
increase = 12.6°F
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Step-by-step explanation:
Find the probability that a point chosen at random would lie in the shaded area of the figure. Round to the nearest tenth of a percent.
with the steps and explanation
Answers
Answer:
Step-by-step explanation:
The required probability is simply the (shaded area)/(area of the whole box)
The area of the whole box would be:
6r*2r = 12 r^2
The shaded area is tough to calculate, but you can get the
white area instead.
The left hole (white area) consists of a semi-circle and a rectangle.
The center hole is a circle.
The right hole (white area) consists of a semi-circle and a rectangle.
The 2 semi-circles in the left and right hole combine to be a circle.
The 2 rectangles in the left and right hole combine to be a square.
The total area of holes are:
(area of circle)*2 + (area of square) ### 2 circles 1 square in total
=r^2*pi*2 + (2r)^2
=r^2*pi*2 +4*r^2
then we can get the shaded area by:
(area of the whole box) - (The total area of holes)
= 12 r^2 - (r^2*pi*2 +4*r^2)
=8*r^2 - r^2*pi*2
Finally:
(shaded area)/(area of the whole box)
=(8*r^2 - r^2*pi*2)/(12 r^2)
=(8-pi*2)/(12)
=0.143067891
=14.3% (corr. to 3 sig. fig.)
An advertising company is purchasing a new industrial-sized color printer. The company has been approved for a $75,000 loan at two different banks. The terms of each loan are:
Offer 1: 2.99% annual simple interest, with a total account balance of $81,353.75 after a 34-month term
Offer 2: 1.5% annual interest compounded monthly for a 38-month term
Assuming no payments are made, what is the difference in the account balances at the end of the loan terms. Round your answer to the nearest penny.
O$1,718.99
O $2,001.57
O $2,707.62
O $2,489.68
Answers
Answer: 2,001.57
Step-by-step explanation:
there ya go!
I don’t understand my head actually hurts from this
Answers
Answer:
AB = 90° , AC = BC = 135°
Step-by-step explanation:
the arc AB is equal to the measure of the central angle it subtends, then
AB = 90°
the sum of the arcs in a circle = 360° , then since AC and BC are congruent
AB + AC + BC = 360° ( since AC = BC ), then
90° + 2AC = 360° ( subtract 90° from both sides )
subtract 90° from both sides
2AC = 270° ( divide both sides by 2 )
AC = 135°
since AC = BC , then
AC = BC = 135°
Special Right Triangles 1
Now It's Time to Practice on Your Own
What is the exact value of x ?
Enter your answer in the box
A TUV is a 30°-60°-90° triangle where m/T-90. The length of the hypotenuse is 16√3 units. The length of the long side of the triangle is x
units.
X=
O
1
2 3
4
5
Help Me
6
7
Reading Off
Check Answer
A
Next
AD & de
Answers
The exact value of x is 24
How to determine the valueTo determine the value, we need to that the different trigonometric identities are;
secanttangentcotangentcosecantcosinesineFrom the information given, we need to determine the value of the opposite side.
The hypotenuse side = 16√3
The opposite side = x
Using the sine identity;
sin θ = opposite/hypotenuse
substitute the values
sin 60 =x/16√3
cross multiply the values
x = 16√3 × √3/2
Divide the values, then multiply the square roots of the values
x = 8×3
x = 24
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Select the correct answer.
What is the value of x in the triangle?
a 30-60-90 triangle with long leg length x and shorter leg length of 7 times the square root of 3
Answers
The length of the hypotenuse is 7m.
Let the side opposite to 30° be the shortest leg.
The side opposite to 60° is the longest leg.
So, the side opposite to 90° is hypotenuse.
Length of the shortest side is x.
Length of longest side is [tex]\sqrt{3}x[/tex]
Length of the hypotenuse is 2x.
We know x = 7
So, [tex]\sqrt{3}(x)=\sqrt{3}(7)[/tex]
Thus, the length of the longer leg is [tex]\sqrt{3}(7)[/tex] m
Length of hypotenuse = 2x = 2(7) = 14m
[tex]x^{2} +(\sqrt{3} x)^2 =(2x)^2\\\\(7)^2+(\sqrt{3} (7))^2=(2x)^2\\\\49 + (3(49)) = (2x)^2\\\\49 + 147= (2x)^2\\\\(2x)^2=196[/tex]
Taking square root on both sides:
[tex]2x = \sqrt{196}[/tex]
2x = 14
x = 7
Therefore, the length of the hypotenuse is 7m.
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Work out the angle of X
Answers
Answer:
x = 99
Step-by-step explanation:
Since x is on a straight line the adjacent angle and x must equal 180. We will call this adjacent angle B. The angle to the right of B also is on a straight line.
So,
180 - 123 = the inside angle Simplify
57
The addition of a triangles interior angles equals 180
180 = 42 + 57 + B Move variables to one side
180 - (42 + 57) = B Simplify
81 = B
Now we can solve for X
180 - 81 = x Simplify
99
Solve for x. Please show all the work. Thank you.
Answers
[tex]\frac{5}{25} = \frac{9}{x +4}[/tex] when simplified, the value of x = 41
What is an Equation?Equation is a mathematical statement that is made up of two expressions connected by an equal value.It says that two things are equal and it expresses equality of two mathematical expressions.
How to determine this
[tex]\frac{5}{25} = \frac{9}{x +4}[/tex]
To find the value of x,
By cross multiplying
5(x+4) = 9(25)
Open bracket
5x + 20 = 225
Collect like terms
5x = 225 - 20
5x = 205
Divides through by 5
5x/5 = 205/5
x = 205/5
x = 41
Therefore, the value of x = 41
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HELP DUE IN 30 MINUTES! I have an ice cream cone that has a radius of 1in and a height of 3in. How can you find how much ice cream could fit in the cone?
Answers
Answer:
Step-by-step explanation:
just do how tall times the diamiter divided by the
what is the maths formula for area
Answers
Answer:
Quick internet search:
Vanessa runs 4 miles each week. Use the number line below to solve and represent the number of weeks it will take her to run 96 miles.
Answers
The number of weeks that Vanessa ran for the number of miles given would be = 24 weeks
How to calculate the number of weeks used by Vanessa for race?The amount of distance that Vanessa covers for a week = 4 miles
The amount of weeks it will take for her to cover 96 moles would be = ?
That is;
1 week = 4 miles
X weeks = 96 miles
Make X the subject of formula;
X = 96× 1/4
= 24 weeks
Therefore Vanessa will be able to cover 96 miles in only 24 weeks.
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Area/ Perimeter question. Any help? i have an assignment to complete.
Answers
Answer:
13 + 8 + 13 + (1/2)(8π) = 34 + 4π feet
= 46.57 feet
which point is on the line 4y-2x=0
Answers
Answer:
(2,1)
Step-by-step explanation:
The line 4y - 2x = 0 can be written in slope-intercept form as y = 1/2x.
So any point that satisfies this equation will lie on the line. For example, the point (2,1) satisfies the equation:
4(1) - 2(2) = 0
So the point (2,1) is on the line.
Geometry I need help
Answers
Figure O is reflected followed by a translation of 4 units in the left direction.
Given that:
Figure O and Figure P are shown on the graph.
The translation does not change the shape and size of the geometry. But changes the location.
Figure O is translated leftward by 4 units.
The reflection does not change the shape and size of the geometry. But flipped the image. A reflection is a transformation that maps every point P over a line such that the line segment PP' will intersect the line of reflection at a right angle.
The translated figure O is reflected across the x-axis.
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Which of the following is the inverse of G(t) if G(t) = 7(t - 4)?
G^-1(t)=t/7+4
G^1(t)=7t-4
G^-1(t)=t/7-4
G^-1(t)=7(t+4)
Answers
Answer:
G^-1(t)=t/7+4
Step-by-step explanation:
G(t) = 7(t - 4)
y = 7(x - 4)
x = 7(y - 4)
x/7 = y - 4
y = x/7 + 4
G^-1(t) = t/7 + 4
Answer: G^-1(t)=t/7+4
Please can someone help me
Answers
The vector v can be decomposed into v₁ = -2i - 2j and v₂ = -6i + 6j.
What is the decomposition of the vectors?The decomposition of the vectors is calculated as follows;
v₁ = (v · w / |w|²) w
v₂ = v - v₁
The dot product of v and w is calculated as;
v · w = (-8)(1) + (4)(1)
v · w = -4
The magnitude of w is calculated as;
|w| = √1² + 1²)
|w|= √2
|w|² = 2
The value of v₁ is calculated as;
v₁ = (-4 / 2) (i + j)
v₁ = -2i - 2j
The value of v₂ is calculated as follows;
v₂ = v - v₁
v₂ = (-8i + 4j) - (-2i - 2j)
v₂ = -6i + 6j
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Naomi invested $860 in an account paying an interest rate of 33% compounded
monthly. Matthew invested $860 in an account paying an interest rate of 41%
compounded annually. After 10 years, how much more money would Matthew have
in his account than Naomi, to the nearest dollar?
Answers
Answer:
Step-by-step explanation:
Determine whether the statement below is true or false. If the statement is false, make the necessary change(s) to produce a true statement.
logb (x3 + y3) = 3 logb x + 3 logby
Answers
Using rules for logarithms we can see that the statement is false.
Is the statement true or false?Here we have the equation:
logₐ(x^3 + y^3) = 3logₐ(x) + 3logₐ(y)
And we want to see if it is true.
First, remember two rules:
logₐ(x^n) = n*logₐ(x)
and:
logₐ(x) + logₐ(y) = logₐ(x*y)
Then, the right side of the statement can be rewritten as:
3logₐ(x) + 3logₐ(y)
3(logₐ(x) + logₐ(y)) = 3*logₐ(x*y) = logₐ((x*y)^3)
And that is different to what we got in the statement, so the statement is false.
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What transformation maps the pre-image (red) onto the image (blue)?
translation
rotation
reflection
glide reflection
Answers
The fucntion F is defined by f(x) =12/x +1/2. Find each value of th e fucnction. F(3)
Answers
The function f(x) = 12/x + 1/2 is given. To find f(3), we substitute x=3 in the function expression and simplify: f(3) = 12/3 + 1/2 = 4 + 0.5 = 4.5. Therefore, the value of the function f at x=3 is 4.5.
To find f(3) for the function f(x) = 12/x + 1/2. Start with the given function f(x) = 12/x + 1/2. Replace x with 3: f(3) = 12/3 + 1/2. Simplify the first term: 12/3 = 4
Add the two terms: f(3) = 4 + 1/2
Convert the mixed number to an improper fraction: 4 + 1/2 = 8/2 + 1/2 = 9/2
Simplify the fraction: 9/2 = 4 1/2
So, f(3) = 4 1/2 or 9/2, depending on the desired form of the answer.
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4. Malaki has a 'no interest-free period' credit card that charges 16.5% p.a. interest. On 9 January he purchases a phone costing K395.00. His January statement is dated 28 January and the phone is the only item on it.
a. How much interest is charged on the January credit card statement?
b. Malaki pays K100.00 off the amount owed on 28 January and makes no more purchases or payments before the next credit card statement arrives on 28 February. How much will this statement show that Malaki owes?
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Answer:
K5.60.
Step-by-step explanation:
You start at (0,-4). You move left 1 unit and right 4 units. where do you end?
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The coordinate of the point after transformation is: (3, -4)
What is the coordinate after moving of point?The coordinate initially is given as (0, -4).
Moving one unit to the left means a deduction of 1 unit from the x coordinate to get:
(0 - 1, -4)
= (-1, -4)
Moving by 4 units to the right means an addition of 4 units to x coordinate to get:
(-1 + 4, -4)
= (3, -4)
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