The derivatives of y=[tex]2x^{3}+5x^{2} +4x-9[/tex] is [tex]6x^{2} +10x+4[/tex], derivative of y=[tex]2x^{2} +3x+5[/tex] is 4x+3, derivative of [tex](5x^{2} -9)6[/tex] is 60x.
Given three functions y= [tex]2x^{3}+5x^{2} +4x-9[/tex], y=[tex]2x^{2} +3x+5[/tex], y=[tex](5x^{2} -9)6[/tex].
We have to find the derivative of functions.
Derivative of a function of a real variablemearsures the sensitivity to change of the function value with respect to a chaneg in its argument. Derivatives are a fundamental tool of calculas.
First function: y=[tex]2x^{3}+5x^{2} +4x-9[/tex], derivative can be as under:
dy/dx=2*3[tex]x^{2}[/tex]+2*5x+4 (derivative of x is 1)
(d[tex]x^{n}[/tex]/dx=n[tex]x^{n-1}[/tex])
dy/dx=6[tex]x^{2}[/tex]+10x+4
Second function: y=[tex]2x^{2} +3x+5[/tex], derivative can be as under:
dy/dx=2*2x+3
=4x+3
Third function:y=[tex](5x^{2} -9)6[/tex]
dy/dx=5*2x*6
=10x*6
=60x
Hence the derivative of first function is [tex]6x^{2} +10x+4[/tex], second function is 4x+3, third function is 60x.
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What is ¾ divided by 2?
3/4 divided by 2 in the fraction is equal to 3/8.
A fraction is used to represent the portion of the whole quantity. Also, we know that every integer is a rational number and any whole number can be written in the form of n/1, where n is any whole number.
On the given data, we need to use the concept of the division of fractions.
3/4 ÷ 2
=3/4 × 1/2 [ Reciprocal of 2 is 1/2]
=3/8
Therefore, 3/4 divided by 2 in the fraction is equal to 3/8.
Once you have your final fraction, just divide the numerator by the denominator to get your answer in decimal form: 3/8=0.375
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What is the expanded form for 45 squared?
Answer:
See below
Step-by-step explanation:
I'm guessing this is what you're looking for:
[tex]45^2=(40+5)^2=(40+5)(40+5)=40(40)+2(40)(5)+5(5)=1600+400+25=2025[/tex]
Using the cosine rule calculate the magnitude of angle B when dide b=20.8cm c= 14.5cm and a= 9.3cm
Using the cosine rule calculate the magnitude of angle B when did the b=20.8cm c= 14.5cm and a= 9.3cm is [tex]\approx 37.02364^{\circ}[/tex]
What is cosine rule?c = [a2 + b2 - 2ab cos C] is the cosine formula to get the side of the triangle. a, b, and c are the triangle's three sides. When attempting to link all three sides of a triangle to a single angle, the cosine rule can be applied. You need to know the other two sides as well as the opposing angle in order to determine the length of a side. Your objective is to locate side a. With the aid of the sine rule, one can determine an angle from three sides and an angle or a side from three angles and a side.Given,
b=20.8cm c= 14.5cm and a= 9.3cm
[tex]\gamma=\cos ^{-1}\left(\frac{a^2+b^2-c^2}{2 a b}\right)[/tex]
[tex]=\cos ^{-1}\left(\frac{9.3^2+20.8^2-14.5^2}{2 \cdot 9.3 \cdot 20.8}\right)[/tex]
[tex]\approx 37.02364^{\circ}[/tex]
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What are the 4 physical properties of solutions?
The 4 physical properties of solutions are:
1) Concentration
2) Solubility
3) Viscosity
4) Transparency
PHYSICAL PROPERTIES OF SOLUTIONIn chemistry, a solution is a homogeneous mixture of two or more substances. The four common physical properties of solutions are:
1) Concentration: The amount of solute present in a given amount of solvent, typically measured in molarity, molality, or mass percentage.
2) Solubility: The maximum amount of solute that can be dissolved in a given amount of solvent at a specific temperature and pressure.
3) Viscosity: The resistance of a fluid to flow, which can be affected by the presence of a solute.
4) Transparency or Opacity: The property of a solution by which it allows light to pass through it or not.
These are the 4 common physical properties of solutions, but there are many other physical properties that can be used to describe solutions depending on the context.
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What is #6? Needhelp
Answer:
(-3,5)
Step-by-step explanation:
8x+3(23+6x)=-9
x=-3
y=23+6x(-3)
y=5
(-3,5)
The data given represents the number of gallons of coffee sold per hour at two different coffee shops.
Coffee Ground
1.5 20 3.5
12 2 5
11 7 2.5
9.5 3 5
Wide Awake
2.5 10 4
18 4 3
3 6.5 15
6 5 2.5
Compare the data and use the correct measure of center to determine which shop typically sells the most amount of coffee per hour. Explain.
Answers:
Wide Awake, with a median value of 4.5 gallons
Wide Awake, with a mean value of about 4.5 gallons
Coffee Ground, with a mean value of about 5 gallons
Coffee Ground, with a median value of 5 gallons
The correct measure of center to determine which shop typically sells the most amount of coffee per hour will be C. Coffee Ground, with a mean value of about 5 gallons.
How to explain the measure of center?The mean is calculated by adding all the data points together and dividing by the number of data points.
When comparing the mean values of the two shops, Coffee Ground has a higher value of 5 gallons compared to Wide Awake's mean value of about 4.5 gallons. This indicates that Coffee Ground typically sells more coffee per hour on average.
The correct option is C.
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Clare ha $150 in her bank account. He buy for $200. What i clare' account balance now?
Claire's current account balance would be -$50.
The amount that Clare has in his bank account initially = $150
The amount that he used from his bank account to buy the bike = $200
As we can see that the amount that Clare used to buy the bike is more than the amount that he has in his account, therefore his account balance becomes negative, that is:
$150 - $200 = -$50
Here, it means that Clare has to pay the bank the amount of $50 that he used more than the amount that he had in his account.
Therefore, Claire's account balance would be -$50.
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Low tide, represented by the integer -1, is 1 foot below the average
water level. High tide is 5 feet higher than low tide.
a. What does 0 represent in this situation?
b. Write an integer that represents the average water level relative to high tide
Answer: a. In this situation, 0 likely represents sea level or the baseline from which water levels are measured.
b. To find the average water level relative to high tide, you need to take the average of high tide and low tide.
Since high tide is 5 feet higher than low tide, you can assume that low tide is 0 ft. Therefore, the high tide is 5 ft.
The average of two values is the sum of the values divided by the number of values. So average of 0ft and 5ft is (0+5)ft / 2 = 2.5 ft.
Therefore, an integer that represents the average water level relative to high tide would be 2.5 ft.
It's worth noting that relative to high tide means how much the average water level varies (higher or lower) from the high tide, so the answer was not an integer in this case.
What value breaks 100 into 4 equal pieces?
Answer:
25 :)
Step-by-step explanation:
The side of the quadrilateral are in the ratio 4:6:3:5. The perimeter of
the quadrilateral is 54 cm. What are the lengths of each side? Solution:
A quadrilateral is a four-sided shape. The perimeter of a quadrilateral is the sum of all its sides. If the perimeter of a quadrilateral is 54 cm, and we know that all four sides are equal, we can divide 54 by 4 to find the length of each side.
54 cm / 4 = 13.5 cmTherefore, the length of each side of the quadrilateral is 13.5 cm.
It's important to note that this is only one possibility, since quadrilaterals can have different shapes and different side lengths.
Molly jogged at a rate of 6 mph, what was her speed in feet per second?
Answer:
8.8 feet per second
Step-by-step explanation:
1 mile = 5280 feet
3600 seconds = 1 hour
6 mph = 5280(6)/3600 = 528/60 8.8 feet per second
A system of equations consisting of a linear equation and a quadratic equation has infinitely many solutions. Is this statement true?.
A system of equations consisting of a linear equation and a quadratic equation has infinitely many solutions is not true.
Linear equations are equations that graph as a line, while the quadratic equations are that graph as a parabola. Lines and parabolas in the xy-plane are convenient representations of linear and quadratic systems, respectively. One solution to the system is shown by each point where the line and parabola intersect. It is possible for a line and a parabola to intersect zero, one, or two times. This indicates that a linear and quadratic system may have zero, one, or two solutions.
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What is the area of triangle with base 12 cm and height is 9 cm *?
The area of the triangle is 54 square centimetres, which is calculated by multiplying the base (12 cm) and height (9 cm) and dividing by 2.
A = (12 cm * 9 cm) / 2
A = (108 cm²) / 2
A = 54 cm²
The area of a triangle is calculated by multiplying the base of the triangle and its height, and then dividing the result by 2. To calculate the area of the triangle with a base of 12 cm and a height of 9 cm, first the base and height must be multiplied together. 12 cm multiplied by 9 cm equals 108 cm². Then, the result of the multiplication, 108 cm², must be divided by 2. 108 cm² divided by 2 equals 54 cm². Therefore, the area of the triangle is 54 cm². To summarize, the area of a triangle is found by multiplying the base and height of the triangle, and then dividing the result by 2. In this case, the area of the triangle with a base of 12 cm and a height of 9 cm is 54 cm².
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i need helppppp
plweeeeeade
Answer:
9/4
Step-by-step explanation:
Use the process of elimination. Divide each number's numerator by its denominator; if the outcome repeats itself, it isn't a terminating decimal. Therefore, when you divide 9/4, it equals 2.25, which is a terminating decimal.
Write and solve an equation or a system of equations to help you solve the following problem.
A cable 84 meters long is cut into two pieces so that one piece is 18 meters longer than the other. What is the length of each piece of cable? (show your work)
The equation written is: x + 18 + x = 84
The lengths of each piece of the cable are: 33 meters and 51 meters.
How to Write an Equation?To write an equation, let the unknown quantity be represented as a variable, which would be used in creating an algebraic expression.
For example, we are given the following:
Length of a cable = 84 meters
The length of one the pieces that the cable is cut into is represented as x.
The second pieces = x + 18 meters.
The equation that would be created for this problem would be:
x + 18 + x = 84
Solve for x:
2x + 18 = 84
2x = 84 - 18
2x = 66
2x/2 = 66/2
x = 33
The length of one of the pieces = 33 meters
Length of the second piece = x + 18 = 33 + 18 = 51 meters.
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Please help quickly I have limited time!!!!!!
Cells share many cοmmon features, yet they can look wildly different. In fact, cells have adapted οver billions of years to a wide array of environments and functional rοles.
What Defines a Cell?The lοwest common element of life is a cell. Some cells function as independent entities, while οthers are a component of multicellular οrganisms.
Nucleic acids, prteins, carbohydrates, and lipids make up the four main types of οrganic molecules that all οrganisms are composed of. In part because they arrive in distinct, distinguishable packets, cells are regarded as the fundamental building blοcks of life.
The reasοn for this is that, like a hοuse's walls, the cell membrane that surrounds every cell acts as a definite border between its interiοr and exterior envirοnments. The plasma membrane is anοther name for the cell membrane. Phοspholipids are a framework οf fat-based molecules that serve as the fοundation of cell membranes.
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Jon earns £90 one week. The next week, he receives a pay rise and earns £130. Write the amount of his pay rise as a fraction of his original pay. Give your answer in its simplest form.
PLEASE HELP I REALLY NEED IT FOR HOMEWORK
The fraction of Jon original pay is 4/10
How to calculate the fraction of Jon original pay?Jon earns £90 one week
The following week he earns £130
His pay rise is
130-90
= 40
The fraction of his original pay is
= 40/100
= 4/10
Hence the fraction of Jon original pay is 4/10
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Help with this page??
(Ignore the drawings all over it)
((Picture is too small so the top question is written in here))
9. David makes $2 730.00/month. Calculate his monthly CPP and El contributions.
Hint: Find his annual gross pay first.
David's annual gross pay is $2 730.00 * 12 = $32 760.00.
What is the calculation for Davids monthly CPP and EI contribution?The current rate for Canada Pension Plan (CPP) contribution as of 2021 is 5.45% on the first $61 700 of pensionable earnings, and David's contribution would be 5.45% * $32 760 = $1 794.14.The current rate for Employment Insurance (EI) contribution as of 2021 is 1.62% on the first $54 000 of insurable earnings, and David's contribution would be 1.62% * $32 760 = $529.97.So, David's monthly CPP contribution would be $1 794.14 / 12 = $149.51, and his monthly EI contribution would be $529.97 / 12 = $44.17.To learn more about CPP refer:
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Are rectangles and squares similar polygons?
Yes, rectangles and squares are similar polygons.
Similar polygons are two or more polygons with the same shape but different sizes. This means that the sides of the polygons are proportional, and the angles are congruent. The formula to determine if two polygons are similar is A/a = B/b = C/c = D/d = …, where A, B, C, and D are the sides of one polygon and a, b, c, and d are the sides of the other polygon. For instance, if a rectangle has sides of 4 and 8, and a square has sides of 6 and 6, the ratio of the sides of the rectangle to the sides of the square is 4/6 = 8/6. This means that the two shapes are similar.
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Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
the answer is 45°
Step-by-step explanation:
because they mirror eachother
Answer:
Step-by-step explanation:
I'm not sure but I think that is 45
Can somebody PLEASE help me? It’s due today.
Click on the image to see the answers.
Answer:
I don't care for the points
Step-by-step explanation:
The answer is the last one
Line A pae through the point (1,5) and (5,7). Find the equation of the line perpendicular to A that pae through point (-1,7
The equation of the line perpendicular to the line A is given by the
x-4y +29=0
What is the general equation of a Straight line?
The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line can be also written as -
Ax + By + C = 0
By = - Ax - C
y = (- A/B)x - (C/A)
Given is a Line A pass through the point (1,5) and (5,7).
Find the equation of the line perpendicular to A that pae through point (-1,7)
line A is y= 1/4 x+c
x-4y +4c=0
it passes through ( -1,7)
c= 29/4
equation becomes x-4y +29=0
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What are the 4 triangle classifications by angle measure?
The 4 types of triangle with respect to angle measurement :
Acute Triangle
Obtuse Triangle
Right triangle
Equivalent triangle
What are the four types of triangles by angle measurement ?A triangle is said to be equilateral if each of its three sides is the same length. In the well-known Euclidean geometry, an equilateral triangle is also equiangular, meaning that each of its three internal angles is 60 degrees and congruent with the others.
A triangle having three acute angles is known as an acute triangle. A triangle having one obtuse angle and two acute angles is known as an obtuse triangle. No Euclidean triangle may contain more than one obtuse angle because in Euclidean geometry, a triangle's angles must add up to 180°.
A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or previously rectangled triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.
Obtuse-angled triangles or obtuse triangles are triangles with any one of its angles being an obtuse angle or more than 90°. Only 180° is equivalent to the internal angles of an acute triangle.
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There are four different triangles for measuring angles:
sharp triangle
Sharp triangle
correct triangle
comparable triangle
What are the four different kinds of triangles according to angle?If all three sides of a triangle are the same length, the triangle is equilateral. Equiangular triangles are equilateral triangles in well-known Euclidean geometry. His three internal angles, which are all 60 degrees, are therefore consistent with one another.
An acute triangle is a triangle having three acute angles. Obtuse triangles are those with one obtuse angle and two acute angles. Euclidean geometry mandates that the total of all the angles of a triangle be 180°, hence a triangle cannot have more than one obtuse angle.
A right triangle, also known as a right triangle, right triangle, right triangle, right triangle, right triangle, or formerly right triangle, is a triangle with one or two right sides. The basis of trigonometry is the relationship between the sides of a right triangle and different angles.
An obtuse or obtuse triangle is a triangle with one of its angles obtuse or greater than 90°. An acute triangle has only 180° interior angles.
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PLEASE HELP!!! TO THE PERSON WHO GIVES ME THE RIGHT ANSWER I WILL GIVE BRAINLIEST!!! PLEASE HELP.
Each of 36 students at a school play bought either a cup of orange juice or a sandwich. A cup of orange juice costs $1 and a sandwich costs $3. The total amount collected was $76. How many students bought orange juice, and how many bought a sandwich?
Let x represent the number of students who bought a cup of orange juice and y represent the number of students who bought a sandwich. Then the problem can be represented by this system of equations:
x + 3y = 76
x + y = 36
Answer the questions to solve the problem.
1. Explain what you should do with the two equations to eliminate one of the variables. (2 points)
2. Find the value of y. (3 points)
3. Find the value of x. (2 points)
4. Interpret the solution and check the values in the system. (3 points)
Answer:
see explanation
Step-by-step explanation:
given the system of equations
x + 3y = 76 → (1)
x + y = 36 → (2)
1
subtracting (2) from (1) term by term will eliminate x
(x - x) + (3y - y) = 76 - 36
0 + 2y = 40
2y = 40 ( divide both sides by 2 )
y = 20
3
substitute y = 20 into either of the 2 equations and solve for x
substituting into (2)
x + 20 = 36 ( subtract 20 from both sides )
x = 16
4
that is 16 students bought orange juice and 20 bought a sandwich
As a check
substitute the values for x and y into the equations and if both sides are equal then they are the solution
(1) : 16 + 3(20) = 16 + 60 = 76 ← True
(2) : 16 + 20 = 36 ← True
since both equations are true, then
x = 16 and y = 20 are the solutions to the system
How many images are formed If two plane mirror are position at an angle of 45â°?
The number of images that will be formed when two mirrors are positioned at an angle of 45 degrees is 7.
The formula that you have provided for calculating the number of images formed by two mirrors positioned at a specific angle is (360/n) - 1, where n is the angle between the mirrors in degrees.
When two mirrors are positioned at an angle of 45 degrees, n = 45. So, using the formula, the number of images formed would be: (360/45) -1 = 8 - 1= 7
It's important to note that this formula only gives you the approximate number of images that will be formed. In reality, due to the nature of light and the reflective properties of mirrors, it is impossible to determine the exact number of images that will be formed.
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Y=x2+2x-2 graph each quadratic function
By evaluating the quadratic equation we can get some points, and with them we can estimate the graph.
The graph can be seen in the image at the end.
How to graph the quadratic equation?Here we want to graph the function:
y = x^2 + 2x - 2
To do so, we can evaluate the quadratic equation in some values of x to get points, and then just connect the points with a general parabola.
when x = 0
y = 0^2 + 2*0 - 2 = -2
So the point is (0, -2)
when x = 1
y = 1^2 + 2*1 - 2 = 1 + 2 - 2 = 1
So the point is (1, 1)
when x = -1
y = (-1)^2 + 2*(-1) - 2
y = 1 - 2- 2 = -3
So the point is (-1, -3)
when x = -2
y = (-2)^2 + 2*(-2) - 2
y = 4 - 4 - 2 = -2
So we have the point (-2, -2)
And so on..., eventually, you will get enough points to connect, and you should get something like:
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HURRY PLEASE!!!!!!!
Determined to finish her milkshake before Diego, Lin now drinks her 12 ounce milkshake at a rate of an ounce per second. Diego starts with his usual 20 ounce milkshake and drinks at the same rate as before, an ounce per second.
What does the graph tell you about the situation? Specifically answer the following:
a.) How many solutions are there? (25 pts)
b.) Interpret the solution(s). (25 pts)
c.) Who finishes the milkshake first? (25 pts)
the other equation is missing, the solution cannot be found.
What is Rate?
A rate in arithmetic is a ratio that contrasts two separate values with various unit systems. For instance, if John types 50 words per minute, that means he types 50 words per minute. We are dealing with a rate because the word "per" is there. The symbol "/" can be used in place of the word "per" in issues.
When two or more similar amounts or numbers are being compared using the same units, a ratio is utilized. When referring to the ratio of one quantity "to" the second quantity in spoken language, it is frequently written with a colon.
Determined to finish her milkshake before Diego, Lin now drinks her 12 ounce milkshake at a rate of an ounce per second.
Rate= 1/3 ounce milkshake per second
Initial = 20 ounces
Lin's condition is thus represented by the equation:
[tex]y = \frac{1}{3} x +20[/tex]
Since the other equation is missing, the solution cannot be found.
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Ben like to go in the covered dome when he feel overexcited. The dome cover an area of 1 2/3 quare meter, which i 5/840 of the total playground area what i the total
The total playground area is 280 square meter, if the dome cover an area of 1+2/3 = 5/3 square meter.
The area covered by the dome = 5/3 square meter
The area covered by the dome is 5/840 times of the total playground area.
Let the total area of the playground = A
5/3 = 5/840 × A
A = (5 × 840)/(3 × 5)
A = 280 square meter
--The given question is incomplete, the complete question is " Ben like to go in the covered dome, when he feels overexcited. The dome covers an area of 5/3 square meter, which is 5/840 of the total playground area. What is the total playground's area?"--
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In a recent survey, the proportion of adults who indicated mystery as their favorite type of book was 0. 325. Two simulations will be conducted for the sampling distribution of a sample proportion from a population with a true proportion of 0. 325. Simulation a will consist of 1,500 trials with a sample size of 100. Simulation b will consist of 2,000 trials with a sample size of 50.
The option that describes the center and variability of simulation A and simulation B is The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B. The correct answer is C.
Considering the details provided in the query,
The two simulations will be run with sampling proportions from a population with a true percentage of 0.325.
Simulacrum A:
100 samples were used.
Tests: 1500
Exercise B -
50 samples total.
2000 trials
Due to the relationship between simulations A and B, they are now nearly equal.
1500 x 100 is the overall sample size for Simulation A.
= 150000
The simulation B sample size is 2000 x 50.
= 100000
We can observe from the simulations A and B calculations above that when comparing the,
Sample Size = Comparison of Simulations A and B
Simulation B + Simulation = Variability
Your question is incomplete but most probably your full question was
In a recent survey, the proportion of adults who indicated mystery as their favorite type of book was 0.325. Two simulations will be conducted for the sampling distribution of a sample proportion from a population with a true proportion of 0.325. Simulation A will consist of 1,500 trials with a sample size of 100. Simulation B will consist of 2,000 trials with a sample size of 50. Which of the following describes the center and variability of simulation A and simulation B?
A) The centers will roughly be equal, and the variabilities will roughly be equal.
B) The centers will roughly be equal, and the variability of simulation A will be greater than the variability of simulation B.
C) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B.
D) The center of simulation A will be greater than the center of simulation B, and the variability of simulation A will roughly be equal to the variability of simulation B.
E) The center of simulation A will be less than the center of simulation B, and the variability of simulation A will be greater than the variability of simulation B.
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The biggest possible cube is taken out of a right solid cylinder of radius 15cm and height 25 cm respectively. what will be the volume of the cube
The volume of the biggest possible cube inside the right cylinder is approximately 1193.243 cubic centimeters.
What is the biggest possible cube that is taken out of a right solid cylinder?
Cubes are hexahedrons with one same side length and only right angles. In this case, the cube is constrained by cross area of right cylinder in accordance to image attached below. The maximum possible volume for a cube inside the cylinder is described by following expression:
V = (√2 / 2)³ · R³
Where:
V - Volume of the cube, in centimeters.R - Radius of the right cylinder, in centimeters.If we know that R = 15 cm, then the volume of biggest possible cube is:
V = (√2 / 2)³ · (15 cm)³
V ≈ 1193.243 cm³
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