Help me answer 1(e), thank you!The derivative of f(x) = 240(1-x/30) is f'(x) = -8x
Answers
1.(e) Given:
The derivative of
\(f(x)=240(1-\frac{x}{30})\text{ is }f^{\prime}(x)=-8x\)To find: True or false?
Explanation:
We have given the function
\(f(x)=240(1-\frac{x}{30})\)Differentiate f(x) with respect to x
We get
\(\begin{gathered} \frac{d}{dx}[f^(x_)]=\frac{d}{dx}[240(1-\frac{x}{30})] \\ \\ f^{\prime}(x)=240.[\frac{d}{dx}(1)-\frac{d}{dx}(\frac{x}{30})] \\ \\ f^{\prime}(x)=240.[0-\frac{1}{30}.\frac{d}{dx}(x)] \\ \\ f^{\prime}(x)=240.[0-\frac{1}{30}\times1].......\lbrace\frac{d}{dx}(x)=1\rbrace \\ \\ f^{\prime}(x)=240.[-\frac{1}{30}] \\ \\ f^{\prime}(x)=-\frac{240}{30} \\ \\ f^{\prime}(x)=-8 \end{gathered}\)Hence,
\(f^{\prime}(x)=-8\)Therefore,
The derivative of
\(\begin{equation*} f(x)=240(1-\frac{x}{30})\text{ is }f^{\prime}(x)=-8 \end{equation*}\)Answer: The given statement is False.
The derivative of f(x) = 240(1-x/30) is f'(x) = -8x : False.
Related Questions
Look at the image below. What is the area of the triangle? units
Answers
Answer:
7 Units^2
Step-by-step explanation:
If we add an exact copy of the triangle, we can make a parallelogram.
Then we can use the parallelogram's area to figure out the triangle's area.
Hint #22 / 4
The original triangle has \dfrac{1}{2}
2
1
start fraction, 1, divided by, 2, end fraction the area of the parallelogram we just made.
Hint #33 / 4
\begin{aligned} \text{Area of parallelogram} &= \text{base} \times \text{height}\\\\ \text{Area of triangle} &= \dfrac{1}{2} \times \text{base} \times \text{height}\\\\ &= \dfrac{1}{2} \times 7 \times 2\\\\ &= \dfrac{1}{2} \times 2 \times 7\\\\ &= 1 \times 7\\\\ &= 7 \end{aligned}
Area of parallelogram
Area of triangle
=base×height
=
2
1
×base×height
=
2
1
×7×2
=
2
1
×2×7
=1×7
=7
Hint #44 / 4
The triangle has an area of 777 units^2
2 squared.
The area of the triangle is 7 square units if the height of the triangle is 2 units, and base length is 7 units.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
We have a triangle shown in the figure:
The base length = 7 units
The height of the triangle = 2 units
Area of the triangle = (7x2)/2
= 7 square units
Thus, the area of the triangle is 7 square units if the height of the triangle is 2 units, and base length is 7 units.
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Who set up their equation correctly for the following question?
How many kilograms of rice will each person get if 6 people share 12 kilogram of rice equally?
Kelly: 6÷12
Morgan: 12÷6
Esmeralda: 6×12
Miles: 6−12
Answers
Answer:
Morgan is the correct answer.
Step-by-step explanation:
See it cant be kelly or miles and it wouldnt make sense for Esmeralda.
help please
A. 4
B. 3
C. 1
D. 2
Answers
Answer: B. 3
Step-by-step explanation: 3+3+1= 7
Answer: B. 3
Step-by-step explanation:
2x+1=7
2x=7-1
2x=6
x=3
14. Which property is shown by 3 + 2 = 2 + 3? (1 point)
O Commutative Property of Addition
O Identity Property of Addition
O Distributive Property
O Associative Property of Addition
Answers
Answer: Commutative Property of Addition
Explanation: The problem 3 + 2 = 2 + 3 demonstrates the commutative property of addition. In other words, the commutative property of addition says that changing the order of the addends does not change the sum.
For example here, we can easily see that the sum of 3 + 2,
which is 5, is equal to the sum of 2 + 3, which is also 5.
\(\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}\)
3 + 2 = 2 + 3It is commutative property of additionWhat is the determinant of A=
3
1
11
-1
Answers
-14 is the Determinant of given matrices A.
What is the determinant?A scalar value connected to the square matrix is known as the determinant. If X is a matrix, then |X| or Det is used to indicate the matrix's determinant (X).
Given a Mtrix A:
3 1
11 -1
The formula for the determinant of a matrix:
The determinant of a 2x2 matrix A = [ a b c d ] is |A| = ad - bc. It is simply obtained by cross-multiplying the elements starting from the top left and then subtracting the products.
In our case,
Determinants of A = (3 * -1 ) - (1 * 11)
Determinants of A = -3 -11
Determinants of A = -14
Therefore, the Determinant of given matrices A is -14.
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Complete question:
What is the determinant of
A= 3 1
11 -1
Part of the arena is being turned into a public darkroom. The floor needs covering in rubber tiles before work can begin on the dark room. The tiles are 20 cm by 30 cm. The dark room floor is 6 metres by 3 metres. Are 280 tiles enough? How many more/less tiles are needed?
Answers
The number of tiles used is 300 tiles.
According to the statement
We have given that:
The tiles are 20 cm by 30 cm. And the dark room floor is 6 meters by 3 meters.
And we have to find that the number of tiles used to prepare the dark room.
So, For this purpose we have to find the area of the room floor.
The area of the floor is 6 *3.
The area of the floor is 18 meter per square.
The area of the tile is 0.2*0.3
The area of the tile is 0.06 meter per square.
Now,
The number of tiles used is 18/0.06
The number of tiles used is 300.
So, The number of tiles used is 300 tiles.
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A point is chosen at random on AK.
What is the probability that the point
will be on FI? Don't forget to reduce.
A B с E F G H I J KI
HHHHHHHHHHHHHH
-10 -8 -6 -4 -2 0 2 4 6 8 10
Answers
Answer: 3/10
Step-by-step explanation: 6/20 reduced = 3/10 for acellus
Probability -
Probability is the branch of mathematics that studies the possible outcomes of given events together with the outcomes' relative likelihoods and distributions.For example, the probability of flipping a coin and it being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail).Given,
A B с E F G H I J KI
HHHHHHHHHHHHHH
-10 -8 -6 -4 -2 0 2 4 6 8 10
So,
The probability that the point will be on FI
A B KI C D E E G H J
HHHHHHHHH
-6 -4 -2 0 2 4 6 8 -10° -8 10
Enter Done q W er t y u i O p a a s d f f gh j k Z X C V b n m X 123 space return .
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I need help
I need help
I need help
I need help
I need help
I need help
I need help
Answers
The sequence is decreasing as n increases and sequence converges to the value 0.
The given sequence is defined as aₙ = 1 / (7n + 3).
To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.
As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.
The sequence converges to the value 0.
The sequence is decreasing as n increases.
The sequence converges to the value 0.
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1. Prove ~ (Pvq) <=> (~P^~9).
Algebra of propositional variables
2. P^ q = q^q
P v q = q v p
show that both are commutative
Answers
Based on the information, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.
How to explain the commutative property.It should be noted that to prove the commutativity of the logical connectives ∧ (conjunction) and ∨ (disjunction), we need to show that they satisfy the commutative property
From the truth table, both P ∧ Q and Q ∧ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∧ Q ≡ Q ∧ P, and ∧ (conjunction) is commutative.
In order to prove P ∨ Q ≡ Q ∨ P, we construct a truth table for both expressions. Both P ∨ Q and Q ∨ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∨ Q ≡ Q ∨ P, and ∨ (disjunction) is commutative.
Hence, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.
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A rectangular room is
1.5
times as long as it is wide, and its perimeter is
35
meters. Find the dimension of the room.
The length is :
meters and the width is
meters.
Answers
The dimensions of the room are approximately 7 meters by 10.5 meters.
The length is 10.5 meters and the width is 7 meters.What are dimensions?In Mathematics, dimensions are referred to as measures of size such as length, width, and height of an object or a shape. A rectangle has length and width as its dimensions that define the area of a rectangle.
Let's start by using algebra to represent the information given in the problem. Let x be the width of the rectangular room, then the length is 1.5 times the width or 1.5x.
The perimeter of a rectangle is the sum of the lengths of all its sides, which can be expressed as:
\(\text{Perimeter} = 2(\text{length} + \text{width})\)
Substituting the values we have for length and width, we get:
\(\rightarrow35 = 2(1.5\text{x} + \text{x})\)
Simplifying the equation, we get:
\(\rightarrow35 = 2(2.5\text{x})\)
\(\rightarrow35 = 5\text{x}\)
\(\rightarrow\text{x}=\dfrac{35}{5}\)
\(\rightarrow\bold{x\thickapprox7}\)
So the width of the room is 7 meters.
To find the length, we can substitute x into the expression we have for the length:
\(\rightarrow\text{Length} = 1.5\text{x}\)
\(\rightarrow\text{Length} = 1.5(7)\)
\(\rightarrow\bold{Length=10.5}\)
So the length of the room is 10.5 meters.
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Find the solution(s) for the equation below: |3x – 2| - 5 = -1
A.no solution
B.x = 2
C.x = 4/3 or x = 2
D.x = -2/3 or x = 2
Answers
Answer:
It would be D.x = -2/3 or x =2
Answer:
B
Step-by-step explanation:
(3x-2) - 5 = -1
⇒(3x-2)-4=0
⇒3x-6=0
⇒3x=6
⇒x=6/3
⇒x=2
Part B
Does this curved line represent a function? if not at what points does it fall the vertical line test?
Answers
Answer:
This graph does not represent a function. Two points where it fails the vertical line test are (0, 0) and (0, 1).
Step-by-step explanation:
This is the exact answer edumentum gave me. be careful, i got this wrong.
n/3 = 13;n =39 how do you solve is it a solution or equation???
Answers
Answer:
n=9
Step-by-step explanation:
i don't know what 1,680 divided by 35 can u help me pweeze
Answers
Answer:
0.048
Step-by-step explanation:
This is a 2x2 identity matrix:
True
Or
False
Answers
Answer:
True
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
A system has an MTBF of 2500 h. What is the probability that this system will survive 3000 hours without any failure if the failure is distributed exponentially?
Answers
Find the area of the shaded triangle or quadrilateral.
What is the area of the WAVE
Answers
Answer:
Step-by-step explanation:
What is a rectangular prism?
A right rectangular prism is a box-shaped object, that is, a 3-dimensional solid which has six rectangular faces. Rectangular prisms can also be oblique - leaning to one side - but the side faces are parallelograms, not rectangles. A right rectangular prismz is also called a cuboid, box, or rectangular hexahedron. Moreover, "rectangular prism" and "right rectangular prism" are often used interchangeably.
The most common math problems related to this solid are of the type right rectangular prism calc find V or find A, where the letters stand for the Volume and Area, respectively. Let's see the necessary rectangular prism formula and learn how to solve those problems quickly and easily.
How do I find the volume of a rectangular prism?
The rectangular prism volume formula is:
volume = h × w × l,
where h is prism height, w is its width, and l is its length. To calculate the volume of a cardboard box:
Find the box length. For example, it can be equal to 18 in.
Determine its width. Let's say you measured 12 in.
Find out the rectangular prism height. Assume it's 15 in.
Calculate the cuboid volume. Using the rectangular prism volume formula above, we get volume = (18 × 12 × 15) in = 3240 in³.
How do I find the area of a rectangular prism?
The surface area of the cuboid consists of 6 faces - three pairs of parallel rectangles. To find the rectangular prism surface area, add the areas of all faces:
surface_area = 2 × (h × w) + 2 × (h × l) + 2 × (l × w) = 2 × (h × w + h × l + l × w),
where h is prism height, w is its width, and l is its length.
Let's see an example of how to solve the right rectangular prism calc - find A problem. We'll come back to our example with the box and calculate its surface area:
Calculate the rectangular prism surface area. First rectangle area is 15in × 12in = 180in², second 15in × 18in = 270in² and third one 18in × 12in = 216in². Add all three rectangles' areas - it's equal to 666 in² (what a number!) - and finally multiply by 2. The surface area of our cardboard box is 1332in².
Or save yourself some time and use our rectangular prism calculator.
Finally, let's attack the right rectangular prism calc find d (that is, the diagonal) type of problem.
How do I calculate the diagonal of a rectangular prism?
To determine the diagonal of a rectangular prism, apply the formula:
diagonal = √(l² + h² + w²)
where h is prism height, w is its width, and l is its length.
The table below shows a company's Manufacturing Cost, Overhead, Total
Sales, Profit, and Dividend per Shareholder over 4 years. Assume the
relationships among Manufacturing Cost, Overhead, Total Sales, Profit,
and Dividend per Shareholder remain the same over the years.
What should have been the Dividend per Shareholder in 2017,
assuming the number of Shareholders has remained unchanged
during the period 2017-2020?
SELECT ONE ANSWER
$17.45
$19.50
$20.00
$25.00
Answers
The Dividend per Shareholder in 2017 is $20.
As, Dividend per Shareholder = Profit / Number of Shareholders
Since the number of shareholders is assumed to have remained unchanged during the period 2017-2020, we can calculate the dividend per shareholder in 2017 using the profit value for that year.
Based on the given table, the profit for 2017 is $7,000.
Dividend per Shareholder in 2017
7000/x = 15500 / 44.29
7000/x = 349.966
x = 7000/349.966
x= 20.01
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Solve for x: 3 (x - 3) + 8x = 5(2x + 1)
Answers
Answer:
x = 14
Step-by-step explanation:
3 (x - 3) + 8x = 5 (2x + 1)
FOIL: 3x - 9 + 8x = 10x +5
Move all the x terms to one side and all the constants to the other:
3x + 8x - 10x = 5 + 9
Combine like terms: x = 14
rectangle has sides measuring (6x + 4) units and (2x + 11) units.
Part A: What is the expression that represents the area of the rectangle? Show your work. (4 points)
Part B: What are the degree and classification of the expression obtained in Part A? (3 points)
Part C: How does Part A demonstrate the closure property for polynomials
Answers
Answer:
See below
Step-by-step explanation:
Briley answered 85% of the 60 quiz questions correctly. How many questions did she answer correctly?
Answers
Answer:
51 questions she answered correctly.
Step-by-step explanation: 85/100 x 60
= 510/10
= 51
Answer:
51 questions
Step-by-step explanation:
To do this we need to realize that 85% is equal to 85/100. This can be simplified in fraction form to .85.
Looking at the question, we see that it says "Briley answered 85% of the 60 quiz..." A key word here is of. Of always means multiply. So we can see if we were going to form an equation, we would be multiplying.
Briley answered correctly = (85%) times (60 questions)
Mathematically, ?=(.85)x(60)=51
So we know she answered 51 correctly, and that 51 is 85% of 60.
I hope this helps you!
Jonah saw a news report that stated that 72% of children in his town played a sport last year. If there are 4,000 children in his town, how many children in his town played a sport last year?(1 point) children in his town played a sport last year.
Answers
Describe the location of point (−7, 6, −4) in three-dimensional coordinate space.
Answers
The description of the location of the point, (−7, 6, −4) in three-dimensional coordinate space is this: A. From the origin, move 7 units back, 6 units right, and 4 units down.
What is a three-dimensional coordinate space?The meaning of a three-dimensional coordinate space is a requirement for three units to come together to form a point. In the location of the point above, we are given three units namely, -7, 6, and -4.
The indication of signs in front of them are as follows; -7, means moving 7 units back, 6 means moving 6 units right, ad -4 means moving 4 units down.
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What is the reference angle for the angle with the measure 2x/3
Answers
The reference angle for the angle with the measure 2x/3 is 54⁰
How to determine the reference angle?You should understand that a reference angle is the acute angle to a given angle.
The given angle is 2x/3
We should understand that since the angle has the variable x
= x + 2x/3 = 90⁰
Simplifying the fraction to have
(3x+2x)/3 = 90
Cross and multiply we have 5x=270⁰
Making x the subject
x= 270/5
x=54⁰
Therefore, the reference angle with the measure 2x/3 is = 54⁰
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A veterinarian treated 7 dogs this morning. The list below gives the weights (in pounds) of each dog.
, 52, 24, 5, 72, 49, 529
Find the range of the data set.
Answers
\(range=524.\)
Step-by-step explanation:
\(range \: is : max - min \\ the \: range \: is \: : 529 - 5 = 524. \\ regards \\ ♨Rage♨\)
The range of the given data set comes to be 524.
The given data set is: 52, 24, 5, 72, 49, 529
What is the range of a data set?The range of a data set is the difference between the maximum and minimum value of that data set.
The maximum value of the given data set = 529
The minimum value of the given data set = 5
The difference between the maximum and minimum value of that data set=529-5 =524
So, the range of the data set =524
Therefore, the range of the given data set comes to be 524.
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can you guys please help me. i don’t need the explanation i just need the answer
Answers
Answer:
36
Step-by-step explanation:
AOB + BOC = AOC
AOC = 90 since the lines are perpendicular
6x-12 + 3x+30 = 90
Combine like terms
9x + 18 = 90
Subtract 18 from each side
9x+18-18 = 90-18
9x = 72
divide by 9
9x/9 = 72/9
x = 8
AOB = 6x - 12
= 6*8 - 12
= 48 -12
= 36
Answer:
AOB = 36
Step-by-step explanation:
OA is perpendicular to OC
AOB + BOC = 90 ------------equation
where:
AOB = 6x - 12
BOC = 3x + 30
plugin values into the eq.
6x - 12 + 3x + 30 = 90
6x + 3x + 30 - 12 = 90
9x + 18 = 90
9x = 90 - 18
9x = 72
x = 72/9
x = 8
plugin values to AOB = 6x - 12
AOB = 6x - 12
AOB = 6(8) - 12
AOB = 36
100 POINTS!! Explain how to solve the equation and how to check the solution.
40 = 8y
Answers
Answer:
y = 5
solve:
\(\sf 40 = 8y\)
\(\sf 8y = 40\)
\(\sf y = \dfrac{40}{8}\)
\(\sf y = 5\)
check:
\(\sf 8(5) = 40\)
\(\sf 40 = 40\)
note: changing sides, changes sign multiplication to division and vice versa.
Answer:
The answer is 5!
Step-by-step explanation:
To do this, we have to solve the equation.
8 × y = 40 [ 8 multiplied with a no. gives 40]
To know the value of the variable 'y' we have to divide 40 by 8 by transporting 8 to the Right hand side of the equation.
y = 40 ÷ 8
= 5
PLEASE HELP
L’Hopital’s Rule
Answers
Answer:
1/4
Step-by-step explanation:
Find the following limit:
lim_(x->2) ((3 x + 2)^(1/3) - 2)/(x - 2)
((3 x + 2)^(1/3) - 2)/(x - 2) = (((3 x + 2)^(1/3) - 2) (4 + 2 (3 x + 2)^(1/3) + (3 x + 2)^(2/3)))/((x - 2) (4 + 2 (3 x + 2)^(1/3) + (3 x + 2)^(2/3))) = 3/(4 + 2 (3 x + 2)^(1/3) + (3 x + 2)^(2/3)):
lim_(x->2)(3/(4 + 2 (3 x + 2)^(1/3) + (3 x + 2)^(2/3)))
lim_(x->2) 3/(4 + 2 (3 x + 2)^(1/3) + (3 x + 2)^(2/3)) = 3/(4 + 2 (3 2 + 2)^(1/3) + (3 2 + 2)^(2/3)) = 1/4:
Answer: 1/4
would it be the same
Answers
Answers:
a) No, the figure would not look the same. See the diagram belowb) Yes the figure would look the same after a half turnc) Yes the figure would look the same after a full turn==================================================
Explanations:
a) The figure doesn't have 90 degree symmetry, so that's why we have a different looking figure after a quarter turn.b) The figure does have 180 degree symmetry. That's why it looks the same after a half turn (aka 180 degree turn)c) Rotating any figure 360 degrees, aka a full turn, will get everything back where it started. It doesn't matter if the figure has any symmetry or not.
How to do question 1 ?
Answers
Step-by-step explanation:
srry
Answer:
A
Step-by-step explanation:
I DID THE WORK IN MY HEAD
btw im 11