C is the correct answer. If there is a total of 399 pages, adding the pages she has left to the pages she has already read (266 pages) it would equal the total, that she has to read 133 pages still.
pls help me
probability
(i) 61/2000
(ii) 9/2
(iii) 261/400
Total no. of drivers = 2000
(i) exactly 3 accidents (18-29 years of age)
[ P(E)= no. of favourable outcomes/total no.of Outcomes]
P(E) = 61/2000
(ii) one or more accidents in a year (30-50 years of age )
= 125 +60 + 22 + 18
= 225
P( E) = 225/ 2000
= 9/2
(iii) having no accidents in one year
= 440 +505 +360
= 1305
P(E) = 1305/2000
=261/400
hope it helps
- Creativexcolours
Write the standard form of the equation of each line.
1) y=3x+1
2) y=-9/5x+3
helppppp plsssss
Answer:
Step-by-step explanation:
(1)To write this in standard form, we want the x and y terms on the same side of the equation and the constant on the other side. To do this, we can subtract 3x from both sides:
-3x + y = 1
So the standard form of the equation is:
-3x + y = 1
(2)y = -9/5x + 3
To write this in standard form, we want to eliminate the fraction by multiplying both sides by the denominator (5):
5y = -9x + 15
Next, we can move the x term to the left side by adding 9x to both sides:
9x + 5y = 15
So the standard form of the equation is:
9x + 5y = 15
1. The population of Charlotte, North Carolina, can be approximated by an exponential function. The population in Charlotte was 396,000 in 1990 and 872,000 in 2018. Create a function that finds the population of Charlotte, C in thousands t years after 1990. (1 point)
A. C(t)=872(1.029)^t
B.C(t)=396(1.029)^t
C. C(t)=872(1.202)^t
D. C(t)=396(1.045)^t
Answer:
(B) C(t) = 396(1.029)^t.
Step-by-step explanation:
We can use the formula for exponential growth to find the function that models the population of Charlotte:
C(t) = C0 * r^t
where C0 is the initial population (in thousands), r is the annual growth rate, and t is the number of years after the initial population was recorded.
We are given that the population in Charlotte was 396,000 in 1990 and 872,000 in 2018. This means that the population grew by (872,000 / 396,000)^(1/28) per year on average (since there are 28 years between 1990 and 2018).
So the annual growth rate is approximately 1.029.
Therefore, the function that finds the population of Charlotte in thousands t years after 1990 is:
C(t) = 396 * 1.029^t
Graph the line with slope 3/4 passing through the point (5,2).
pls help!!!
A graph of the line with slope 3/4 passing through the point (5, 2) is shown in the image attached below.
How to determine an equation of this line?In Mathematics, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁)
Where:
m represents the slope.x and y are the points.At data point (5, 2), a linear equation in standard form for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 2 = 3/4(x - 5)
y - 2 = 3x/4 - 15/4
y = 3x/4 - 1.75
In conclusion, we would use an online graphing calculator to plot the above linear equation as shown in the graph attached below.
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Evaluate the triple integral xy dV where E is the solid tetrahedon with vertices (0,0,0), (9,0,0), (0,8,0), (0,0,6)
The value of the triple integral xy dV over the solid tetrahedron with vertices (0,0,0), (9,0,0), (0,8,0), and (0,0,6) is approximately 490.5. The limits of integration for x, y, and z are 0 to 9, 0 to 8 - (8/9)x, and 0 to 6 - (1/3)x - (1/4)y, respectively.
To evaluate the triple integral, we need to set up the limits of integration for the three variables x, y, and z. Since the solid is a tetrahedron with vertices at (0,0,0), (9,0,0), (0,8,0), and (0,0,6), we can write the limits of integration as follows:
0 ≤ x ≤ 9
0 ≤ y ≤ 8 - (8/9)x
0 ≤ z ≤ 6 - (1/3)x - (1/4)y
The limits of integration for x are straightforward, as x ranges from 0 to 9. For y, we need to consider that the solid is bounded by the x-axis (y=0), the y-axis (x=0), and two planes that intersect along the line x=9, y=8. The equation of the plane containing the points (0,8,0), (9,0,0), and (0,0,6) is given by 8x/9 + 6z/9 = 8, which simplifies to y = 8 - (8/9)x - (2/3)z. Solving for z, we get z = (3/2)(4 - (3/4)x - (3/4)y), so the limits of integration for z depend on both x and y.
With these limits of integration, we can set up the triple integral as follows:
∭E xy dV = ∫0⁹ ∫0(⁸-(⁸/⁹)ˣ) ∫0(⁶-(¹/³)ˣ-(¹/⁴)ʸ) xy dz dy dx
Evaluating the innermost integral with respect to z, we get:
∫0(⁶-(¹/³)ˣ-(¹/⁴)ʸ) xy dz = xyz |z=0 to z=(6-(1/3)x-(1/4)y) = x y (6 - (1/3)x - (1/4)y)
Substituting this expression back into the triple integral and evaluating the remaining integrals, we get:
∭E xy dV = ∫0⁹ ∫0(⁸-(⁸/⁹)ˣ) x y (6 - (1/3)x - (1/4)y) dy dx
= ∫0⁹ x [(3/4)y²(8/9 - (1/3)x) - (1/12)y³(8/9 - (1/3)x)] |y=0 to y=(8-(8/9)x) dx
= ∫0⁹ x [(3/4)(8/9 - (1/3)x)³ - (1/12)(8/9 - (1/3)x)⁴] dx
≈ 490.5
Therefore, the value of the triple integral is approximately 490.5
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What are the measures of ∠ADC and ∠DCB in the figure?
please show how you got it and do not attach a file i can't open it du to some issuse
Therefore , the solution of the given problem of triangle comes out to be ∠ADC = 100 and ∠DCB = 39 Degree.
What does a triangle actually mean?Given that they have three quadrants or more, triangles are considered polygons. It has a straightforward geometric shape. The letters ABC form a right-angled triangle when put together. Euclidean geometry creates a new rectangle of square when the borders are incompatible. Given that they have three sides and three corners, triangles are categorised as polygons. The corners of a triangle are determined by where its three sides meet. The sum of the angles inside a triangle is 180 degrees.
Here,
Given :
A triangle ADC and Triangle DCB
To find the angle :∠ADC and ∠DCB in the figure
So,
Acc to triangle angle sum property:
43 + 3y + 7 + 2x + 17 = 180
Simplifying, we get:
2x + 3y + 67 = 180
Subtracting 67 from both sides, we get:
2x + 3y = 113
and
61 + 3y - 13 + 4x - 1 = 180
4x + 3y + 47 = 180
4x + 3y = 133
2x + 3y = 113
4x + 3y = 133
-4x - 6y = -226
Adding this to the second equation, we get:
-3y = -93
Dividing both sides by -3, we get:
y = 31
Substituting this value of y into either equation, we can solve for x:
2x + 3(31) = 113
2x + 93 = 113
2x = 20
x = 10
Therefore, the solution is x = 10, y = 31.
Thus,
∠ADC = 3(31) + 7 = 93 + 7 = 100
∠DCB = 4(10) -1 = 40 -1 =39
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T/F. The correlation coefficient (r ) is a numerical measure that measures the strength and direction of a linear relationship between two quantitative variables.
The statement that "The correlation coefficient (r ) is a numerical measure that measures the strength and direction of a linear relationship between two quantitative variables" is true.
The correlation coefficient (r) is a numerical measure that measures the strength and direction of a linear relationship between two quantitative variables. It ranges from -1 to +1, with a value of -1 indicating a perfect negative linear relationship, 0 indicating no linear relationship, and +1 indicating a perfect positive linear relationship. The sign of r indicates the direction of the relationship, with a negative sign indicating an inverse relationship and a positive sign indicating a direct relationship. Thus, the correlation coefficient provides a useful summary of the degree to which two variables are related in a linear fashion.
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1. A toy rocket is launched from a 4. 9 m high platform in such a way that its height, h (in meters), after t seconds is given by the equation h=−4. 9t2+33. 6t+4. 9. How long will it take for the rocket to hit the ground?
he toy rocket will hit the ground after approximately enter your response here seconds.
2. The length of a rectangle is 7 centimeters less than five times its width. Its area is 24 square centimeters. Find the dimensions of the rectangle.
The width is enter your response here cm.
Part 2
The length is enter your response here cm.
3. Jeff and Kirk can build a 75-ft retaining wall together in 10 hours. Because Jeff has more experience, he could build the wall by himself 1 hour quicker than Kirk. How long would it take Kirk (to the nearest minute) to build the wall by himself?
It will take Kirk approximately enter your response here hours enter your response here min to build the wall himself.
(Round to the nearest minute as needed. )
4. On the last three physics exams a student scored 87, 85, and 91. What score must the student earn on the next exam to have an average of at least 90?
The student must score at least enter your response here%
In the given question, the rocket will hit the ground in 7 seconds. The width of the rectangle is 3 cm. Kirk makes the wall in 5.5 hours. The student needs 97 marks.
The relation between the height and the time of the toy rocket has been given in the question as,
h = -4.9t²+33.6t + 4.9
where,
h= height of the rocket after getting launched
t= time after which the rocket has been launched
So, if we have to calculate how much time the rocket takes to reach the ground,
we have to take h=0 (at ground).
So, the equation becomes
0 = -4.9t²+33.6t + 4.9
Now, the roots of this equation will give the time at which the rocket will hit the ground.
So, after calculating we get
t = -0.1428 sec
or
t = 7 sec
since negative time is not possible,
the time at which the rocket will hit the ground is 7 seconds.
The length of the rectangle is = 5b-7 cm
Hence, the area is = b(5b-7) = 24
Hence, the width comes out to be = 3 cm
Kirk would be able to make the wall in 5.5 hours. This is because Jeff can make it one hour earlier than him i.e., K-1 hours. So, we get -
= (K-1) + K = 10
= 2K = 11
= K = 5.5 hours
The student already has 87 + 85 + 91 = 263 marks. He needs at least -
= (263 + x) / 4 = 90
= 97 marks
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Jamal drank two and one-sixth bottles of water in the morning and three and seven-eighths bottles in the afternoon. Estimate how much water Jamal drank in all.
5 bottles
five and one-half bottles
6 bottles
six and one-half bottles
Using the addition of the given fractions we know that Jamal drank a total (D) of six and one-half bottles of water.
One of the four fundamental operations in mathematics is addition, along with subtraction, multiplication, and division.
The entire amount or sum of the two whole numbers is obtained by adding them.
Mathematicians utilize addition as their main arithmetic operation to determine the sum of two or more numbers.
For instance, 7 + 7 equals 14.
So, the given fractions are:
2 1/6 and 3 7/8
Now, add them as follows:
2 1/6 + 3 7/8
13/6 + 31/8
52+93/24
145/24
6 1/24
Therefore, using the addition of the given fractions we know that Jamal drank a total (D) of six and one-half bottles of water.
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Complete question:
Jamal drank two and one-sixth bottles of water in the morning and three and seven-eighths bottles in the afternoon. Estimate how much water Jamal drank in all.
A. 5 bottles
B. five and one-half bottles
C. 6 bottles
D. six and one-half bottles
What is derivative of cosx ?
The derivative of cosx is -sinx
Derivative defines the change in the dependent variable with respect to a small change in the independent variable
This means that if we have
y = cosx
where x is the independent variable and y is the independent variable, then the derivative of cosx i.e y will be the amount of change in y due to a small change in x.
i.e, dy/dx = -sinx
we also write this as
d/dx (cosx) = -sinx
This can be proved by the first principle where
[tex]f'(x) = \lim_{h \to 0} \frac{ [f(x + h) - f(x)] }{h}[/tex]
Hence we get
d/dx (cosx)
[tex]f'(x) = \lim_{h \to 0} \frac{ [cos(x + h) - cosx] }{h}[/tex]
[tex]= \lim_{h \to 0}\frac{[-2sin\frac{x+h+x}{2} sin\frac{x+h-x}{2}]}{h}[/tex]
[tex]= \lim_{h \to 0}\frac{ [-2sin\frac{2x+h}{2} sin\frac{h}{2} ]}{h}[/tex]
[tex]= \lim_{h \to 0}\frac{ [-sin\frac{2x+h}{2} sin\frac{h}{2} ]}{h/2}[/tex]
Now we know that [tex]\lim_{x \to0} \frac{sinx}{x} = 1[/tex]
Hence we get
-sinx
Therefore derivative of cosx = -sinx
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The ratio of triangle BOY to triangle GRL is 1:2. If BO=x+3 and GRL=3x-1, then the length of GR is
explain the math behind it please and thank you
A.5
B.7
C.10
D.20
Answer: B. 7
The ratio of the two triangles indicates that BOY is 1/2 the size of GRL. Therefore, the ratio of the sides of the triangles is also 1:2. Since the length of BO is given as x + 3, this means that the length of GR must be 2(x + 3) - 1 = 2x + 5. Therefore, the length of GR is 7.
how long is 38 inches in feet
Answer:
3.16666667
Step-by-step explanation:
convert in a calculator online
inches to feet
I need help with this please
Answer: 9. False
10. True
11. False
12. False, it is called an isosceles triangle
Step-by-step explanation:
how to determine the sum of all the factors of 100
Answer:
5, 10 20, etc.
Step-by-step explanation:
You can skip count like you do in multiplying.
(2⋅3)
2
−5
2
=left parenthesis, 2, dot, 3, right parenthesis, squared, minus, 5, squared, equals
The given expression is (2⋅3)2−52. Therefore, the simplified expression is 11.
To simplify this expression, we first need to apply the exponent rule, which states that (a⋅b)c = ac⋅bc. In this case, we have:
(2⋅3)2 = 22⋅32
Next, we need to simplify the exponents. We have:
22⋅32 = 4⋅9 = 36
Finally, we need to subtract 52 from 36. We have:
36−52 = 36−25 = 11
Therefore, the simplified expression is 11.
Answer: 11.
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roman numerals 1-100
I
II
III
IV
V
VI
VII
VIII
IX
X
XI
XII
XIII
XIV
XV
XVI
XVII
XVIII
XIX
XX
XXI
XXII
XXIII
XXIV
XXV
XXVI
XXVII
XXVIII
XXIX
XXX
XXXI
XXXII
XXXIII
XXXIV
XXXV
XXXVI
XXXVII
XXXVIII
XXXIX
XL
XLI
XLII
XLIII
XLIV
XLV
XLVI
XLVII
XLVIII
XLIX
L
LI
LII
LIII
LIV
LV
LVI
LVII
LVIII
LIX
LX
LXI
LXII
LXIII
LXIV
LXV
LXVI
LXVII
LXVIII
LXIX
LXX
LXXI
LXXII
LXXIII
LXXIV
LXXV
LXXVI
LXXVII
LXXVIII
LXXIX
LXXX
LXXXI
LXXXII
LXXXIII
LXXXIV
LXXXV
LXXXVI
LXXXVII
LXXXVIII
LXXXIX
XC
XCI
XCII
XCIII
XCIV
XCV
XCVI
XCVII
XCVIII
XCIX
C
which out of these 3 is ratios equivalent to 6:2
24:8 9:1 2:6
Answer:
24 : 8
Step-by-step explanation:
24/4 is equal to 6
8/4 is equal to 2
Answer:
24:8
Step-by-step explanation:
The easiest way to do these kinds of problems is by doing some simple division. Usually you only need to look at the first number, which in this case is 6, and see if any numbers can be divided by this number. The first ratio is 24:8, and since the other first number can't be divisible by 6, we know the answer is 24:8
what is subtracting fractions calculator online
The subtracting fractions calculator online is a free online calculator showing the difference between two fractions.
The fraction represents the components of the whole in mathematics. It is important to keep track of the fraction types while subtracting fractions, whether they are like or unlike fractions. Like fractions are fractions with the same denominators, and unlike fractions are fractions with distinct denominators. When a fraction is similar, the numerator value can simply be removed. The methods to subtract the fractions are listed below if the denominators are the opposite fractions.
Take the denominator's LCM.
Now multiply the numerator and denominator values by the same number to convert the denominator value to the LCM value.
Finally, subtract the values of the fractions.
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Mr. Smith is putting a brick border around his irregular shaped yard. Before installing the border, he must cut the bricks to fit the angles of the garden. Use the given measures to answer the question
All the angle measures are;
m∠A = 160°
m∠B = 142°
m∠C = 120°
m∠D = 156°
m∠E = 31°
m∠F = 111°
What is a hexagon?A hexagon is a six-sided polygon. And a convex hexagon means the hexagon's vertices are pointed outwards.
And no interior angle has an angle measuring of more than 180°.
Given:
The number of sides in the polygon = 6.
The total sum of the irregular angle = (4 - 2) x 180° = 720°.
7x - 8 + 4x + 46 + 5x + 6x + 12 + x + 7 + 5x - 9 = 720°.
28x = 720 - 48
x = 24
Substituting all the values of x = 24 to all the interior angle measures,
Now, all the measures are:
m∠A = 7x - 8 = 160°
m∠B = 4x + 46 = 142°
m∠C = 5x = 120°
m∠D = 6x + 12 = 156°
m∠E = x + 7 = 31°
m∠F = 5x - 9 = 111°
Therefore, all the measures are given above.
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The complete question is given in the image below.
If the inflation rate was 3% last year and John's salary grew 4%, how much did the purchasing power of his salary change?
John's purchasing power increased by 0.97%.
What is the inflation?
The definition of inflation in the field of economics is "mean increased money supply, but the general public often refer to a sustained increase in the general price level of goods and services in an economy over a period".
If the inflation rate was 3% and John's salary grew 4%, his salary increased more than the rate of inflation. However, his real increase in purchasing power depends on the difference between his salary growth rate and the inflation rate.
To calculate the change in John's purchasing power, we can use the following formula:
Change in purchasing power = (1 + Salary growth rate) / (1 + Inflation rate) - 1
Plugging in the values, we get:
Change in purchasing power = (1 + 0.04) / (1 + 0.03) - 1
Change in purchasing power = 1.01 / 1.03 - 1
Change in purchasing power = 0.0097 or 0.97%
Hence, John's purchasing power increased by 0.97%.
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Brandon reads a study that says the median usage for gaming apps is 94 minutes per week, with an interquartile range of 145 minutes. The study also says the median usage for social media apps is 117 minutes per week, with an interquartile range of 190 minutes.
What can vou conclude from these statistics? Complete the sentence.
While the median usage for both types of apps is relatively similar, the usage range for gaming apps is much narrower than that of social media apps
From these statistics, we can conclude that gaming apps have a much narrower usage range than social media apps. To understand this concept, let's look at the interquartile range for each type of app.
The interquartile range (IQR) is the range of values between the 25th percentile and the 75th percentile of a given data set.
In this case, the IQR for gaming apps is 145 minutes, while the IQR for social media apps is 190 minutes.
This indicates that gaming apps have a much narrower range of usage than social media apps.
The median usage for gaming apps is 94 minutes, while the median usage for social media apps is 117 minutes.
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Answer: less than and less than
Step-by-step explanation: got it wrong by listening to the other answer :\
what is parameter in statistics
A statistic is a number that describes a sample, whereas a parameter is a number that describes the complete population.
To characterise the whole population under consideration, a parameter is utilised. For instance, we could be curious about a butterfly's typical length. Given that it contains data on the whole butterfly population, this qualifies as a parameter.
The most often used sample is a simple random sample. Every practicable sample of the selected size must be given an equal probability of being used. An element is a population characteristic. The statistic is a property of the sample.
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What is the probability of Andre choosing a number greater than 5?
1) 0
2) greater than 0 and less than 1/2
3) 1/2
4) greater than 1/2 and less than 1
Answer:
1/2
Step-by-step explanation:
The numbers are: 1, 2, 4, 5, 7, 8, 9, 10
We see that only 7, 8, 9, and 10 are greater than 5
So, 4 possible numbers are greater than 5 in the total of 8 numbers.
So, the probability is 4/8 = 1/2
So, the answer is 1/2.
At a football game, a vender sold a combined total of 124 sodasand hot dogs the number of sodas sold was three times the number of hot dogs sold find the number of sodas and the numbers of hot dogs sold
Step-by-step explanation:
x = number of sold sodas
y = number of sold hot dogs
x + y = 124
x = 3y
so,
3y + y = 124
4y = 124
y = 31
x = 3y = 3×31 = 93
there were 93 sodas and 31 hot dogs sold.
how do you defining a vector in matlab?
Answer:
Step-by-step explanation:
You can create a vector both by enclosing the elements in square brackets like v=[1 2 3 4 5] or using commas, like v=[1,2,3,4,5]. They mean the very same: a vector (matrix) of 1 row and 5 columns.
HELP DUE TOMORROW!!!!!!!!!!
For the circle below, find the area of the shaded sector and the length of the arc that outlines the sector. All units are centimeters. Give your answers in terms of π.
Answer:
Step-by-step explanation:
Which equations are true for x = –2 and x = 2? Select two options x2 – 4 = 0 x2 = –4 3x2 + 12 = 0 4x2 = 16 2(x – 2)2 = 0
The two equations that are true for x = –2 and x = 2 are:
x2 – 4 = 0 (true for x = –2) and 4x2 = 16 (true for x = –2 and x = 2)
What is Quadratic equation ?Quadratic equation can be defined as equation in which it is in the form of[tex]ax^2+bx+c = 0[/tex]
The options are:
x2 – 4 = 0
x2 = –4
3x2 + 12 = 0
4x2 = 16
2(x – 2)2 = 0
To check which equations are true for x = –2 and x = 2, we can substitute these values into each equation and see if it results in a true statement or not.
Substituting x = –2:
(-2)2 – 4 = 0 --> True
(-2)2 = –4 --> False
3(-2)2 + 12 = 0 --> True
4(-2)2 = 16 --> True
2((-2) – 2)2 = 0 --> False
Substituting x = 2:
22 – 4 = 0 --> False
22 = –4 --> False
3(2)2 + 12 = 0 --> False
4(2)2 = 16 --> True
2((2) – 2)2 = 0 --> True
Therefore, the two equations that are true for x = –2 and x = 2 are:
x2 – 4 = 0 (true for x = –2) and 4x2 = 16 (true for x = –2 and x = 2)
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The area of the rectangle is 34.56cm squared. The diamtetr is 2.75cm. WHAT is the surface area.
The total surface area is 46.43 square centimeter.
What is surface area?The region that includes the base(s) and the curved portion is referred to as the total surface area. It is the overall area that the object's surface occupies. The total area of a shape with a curved base and surface is equal to the sum of the two areas.
Given that, the area of the rectangle is 34.56 cm².
Here, the diameter is 2.75 cm, so radius =2.75/2=1.375 cm
Cylinder is made up of 1 rectangle and 2 circles.
Now, area of 2 circles =2πr²
= 2×3.14×1.375²
= 11.87 cm²
So, total surface area = 34.56+11.87
= 46.43 cm²
Therefore, the total surface area is 46.43 square centimeter.
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Find the point on the curve y= x^2 - 3x + 5 where the normal is parallel to the tangent to the curve at the point (4, 9), and hence find the equation of this normal. Any help would be appreciated, Thanks in advance
The point on the curve y = x^2 - 3x + 5 where the normal is parallel to the tangent to the curve at the point (4, 9), we need to find the slope of the tangent at the point (4, 9) and then find the point on the curve where the slope of the normal is the same. The equation of the normal is y = -1/5x + 4.52.
First, find the derivative of the function y = x^2 - 3x + 5 to get the slope of the tangent:
dy/dx = 2x - 3
Next, plug in the x-value of the point (4, 9) to find the slope of the tangent at that point:
dy/dx = 2(4) - 3 = 5
The slope of the normal at any point on the curve will be the negative reciprocal of the slope of the tangent at that point. So, the slope of the normal at the point we are looking for will be -1/5.
To find the point on the curve where the slope of the normal is -1/5, set the derivative of the function equal to -1/5 and solve for x:
2x - 3 = -1/5
10x - 15 = -1
10x = 14
x = 1.4
Plug this x-value back into the original function to find the y-value:
y = (1.4)^2 - 3(1.4) + 5 = 4.24
So, the point on the curve where the normal is parallel to the tangent at the point (4, 9) is (1.4, 4.24).
Finally, to find the equation of the normal, use the point-slope form of a line:
y - y1 = m(x - x1)
y - 4.24 = -1/5(x - 1.4)
y = -1/5x + 4.52
So, the equation of the normal is y = -1/5x + 4.52.
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what is 1000 mcg to mg?
One milligram(mg) is equal to 1000 micrograms(mcg).
One microgram is equivalent to one millionth of a gram since the word "micro" in micrograms refers to one millionth. The prefix "milli" in milligrams, on the other hand, denotes a thousandth, making 1 milligram equivalent to a thousandth of a gram.
Given that 1 milligram is equivalent to 1000 micrograms, it is simple to convert between micrograms and milligram. In several fields, notably medicine, where accurate quantities of medications and other chemicals are frequently measured in micrograms or milligram, this translation is crucial.
The conversion between various metric prefixes is a key feature of the metric system, which is often used to represent measurements of mass, length, and volume.
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