The function (equation) that returns Amir's altitude, y, with respect to time, x, y = -11·x + 440, when differentiated, to find the rate of change of the altitude, indicates that rate at which Amir descended is D. 11 meters per minute
What is differentiation in mathematics?Differentiation is the process or method by which the derivative of a function is found. The derivative indicates the instantaneous rate at which the value of the function changes with respect to the change in the argument of the function.
The equation of the function that gives his altitude relative to the sea level as a function of time is; y = -11·x + 440
The differentiation of the function for the height, y, in terms of the time, x, gives the speed which is the same as the at which Amir descended as follows;
[tex]Speed = \dfrac{dy}{dx} = \dfrac{d}{dx} \left(-11\cdot x+400\right) = -11[/tex]
The speed with which Amir descends is 11 meters per minute
The correct option is D. 11 meters per minute
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Please help me 2x+2+38x+8=90
Step-by-step explanation:
Its a simple algebraic expression
13. g(x)=(x-3) Page 186
y = x - 3
slope: 1
y=intercept; (0,-3)
0.5199222222222222.
Is it rational because?
Answer:
if it stopped repeating yes , if no , no
Step-by-step explanation:
mark me on brainliest please follow me to
for an arbitrary markov chain on a state space consisting of exactly d states, find (with proof) the largest possible positive integer n such that for some states i,j, we have p(n) ij > 0 but p(n) ij
Here, d-1 is the largest possible value of N.
Given info,
For an arbitrary Markov chain on a state space consisting of exactly d states, find (with proof) the largest possible positive integer n such that for some states i,j, we have p(n) ij > 0 but p(n) ij.
We will prove that N ≤ d - 1
In light of this, there are states I and j such that the path from I to j has at least N edges, which implies that the path from I to j has at least d edges.
However, since there are only d states, the distance between any two states can be no greater than d-1. N can't thus be bigger than d-1.
Now, d-1 is the largest possible N because if we take a look at a Markov chain, if I is between 1 and d, we can only move to state 2 and if I is already at state d, we can only move to state d-1. However, if I am already at state 1, we can only move to state 1 and if I am already at state 2, we can only move to state i+1.
This sample contains d-1 edges on the way from state 1 to d. N = d-1 hence holds in this situation.
Therefore, N can have a value as large as d-1.
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If your monthly income is $5,000 and your rent is $2,000, what percentage of your
income is used to pay rent?
20%
30%
40%
50%
Answer: 40%
Step-by-step explanation: 2,000 ÷ 5,000 = 0.4 or 40%
5.
8cm
The diagram shows a prism.
9cm
5cm
Not to scale
Work out the volume of the prism.
3cm
10cm
Answer:
9cm r=2x3x9= 54. Find the volume of the cube. Include units. 5cm ... Not to scale. Work out the volume of the prism. Area of front. 3x5=15. 3cm 4x8=32. 10cm.
Step-by-step explanation:
Answer:
470 cm³
Step-by-step explanation:
You want the volume of a prism with an L-shaped base.
VolumeThe volume of a prism is given by ...
V = Bh
where B is the area of the base, and h is the distance between bases.
Base areaThe base is has an L-shape. Its area can be found by extending the horizontal line to divide the figure into two rectangles.
The top rectangle is 4cm × 5cm, so has an area of ...
A = LW = (4 cm)(5 cm) = 20 cm²
The bottom rectangle is 9 cm × 3 cm, so has an area of ...
A = LW = (9 cm)(3 cm) = 27 cm²
Then the total base area is ...
B = (top rectangle area) + (bottom rectangle area)
B = (20 cm²) +(27 cm²) = 47 cm²
Prism volumeThen the volume is ...
V = Bh = (47 cm²)(10 cm) = 470 cm³
The volume of the prism is 470 cm³.
how do you write the equation of the line passing through (-2,-1) and y=-1/3x-5
The equation of the line passes through (-2, -1) and parallel to y = -1/3x - 5 is y = - 1 / 3 x - 5 / 3
How to find the equation of a line?The equation of a line can be represented in slope intercept form as follows:
y = mx + b
where
m = slopeb = y-interceptThe equation of the line passes through (-2, -1) and parallel to y = -1/3x - 5
Therefore, the slope of the line is - 1 / 3.
Parallel lines have the same slopes.
Therefore, let's find the y-intercept using (-2, -1)
y = - 1 / 3 x + b
-1 = - 1 / 3 (-2) + b
b = -1 - 2 / 3
b = -3 - 2/ 3
b = - 5 / 3
Therefore, the equation is y = - 1 / 3 x - 5 / 3
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7/9 has how many 1/3 in it
Answer:
2 1/3's
Step-by-step explanation:
1/3 + 1/3 = 2/3
In the given problem, the number of 1/3 is in 7/9, 7/3
What is a fraction?Fraction is a mathematical term, which represents the portion or sub-parts of the whole thing. Basically, It has two parts: numerator and denominator.
Numerator is a number which lies on the top side, it indicates the number of equal parts taken and denominator is on the bottom side, it indicates the equal parts of the whole number.
Given that,
the number 7/9
fraction number 1/3
the number of fraction 7/9 has of 1/3 is,
⇒ 7/9÷1/3
⇒ 7/3
Hence, the result is 7/3
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A construction crew has just built a new road. They built the road at a rate of 31.25 kilometers per week. They worked for 5 weeks. How many kilometers of road did they build?
write 2 5/6 as a fractions
Answer: That is a fraction. As an improper fraction, it's 17/6.
Step-by-step explanation:
Answer:
Now, 2 5/6 is a mixed fraction. To convert a mixed fraction to an improper fraction, we have to calculate (2 + 5/6). 2 + 5/6 = (12 + 5) / 6 = 17/6. Hence, 2 5/6 as a fraction is equal to 17/6.
The table below gives the cost per person to buy tickets for an upcoming concert. Find the rate of change.
Option (a) is the correct option and the rate of change of the cost per person is 74/1.
As, we are given the table that the cost per person to buy tickets for an upcoming concert.
Persons Cost
2 148
3 222
4 296
5 370
So, the rate of change is,
rate of change = change in cost / change in persons
Rate of change = (222 - 148)/(3 - 2)
= 74/1
= 74
So, 74/1 is the rate of change.
Hence, Option (a) is the correct option and the rate of change of the cost per person is 74/1.
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use factoring to write two expressions equivalent to 56x^2 - 88x
Answer:
Step-by-step explanation:
well 56^2 is 56*56, 56*56= 3136
1. 3136x-88x
2. 3048x+88x
consider 3 urns. urn acontains 2 white and 4 red balls, urn bcontains 8 white and 4 red balls, and urn ccontains 1 white and 3 red balls. if 1 ball is selected from each urn, what is the probability that the ball chosen from urn awas white given that exactly 2 white balls were selected?
0.636 is the probability that the ball chosen from urn .
What is probability ?
The likelihood that something will occur is the foundation of it. The justification for probability serves as the basic foundation for theoretical probability. A coin is tossed, for instance, and the theoretical likelihood of receiving a head is 1 in 2.Urn A contains 2 W, 4 R
Urn B contains 8 W, 4 R
Urn C contains 1 W, 3 R
Probability of selecting 3 balls out of which 2 are white
P(J)=P(WWR)+P(WRW)+P(RWW)
= 2/6 * 8/12 * 3/4 + 2/6 * 4/12 * 1/4 + 4/6 * 8/12 * 1/4 = 88/288
Probability that the ball chosen from Urn A was white given that exactly 2 white balls were selected
P(A/J) = P(A ∩ J)/P(J)
= 56/288/88/288
= 0.636
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What are area and perimeter of figures?.
Certain figures are explained in both cases in perimeter as well as area,
to illustrate the examples of geometrical figures.
What is Geometrical Figures?Geometrical shapes are shapes that illustrates the shapes of different items. some figures have two dimensions, while others have three. Only the x and y axis are used for two-dimensional structure, whereas the x, y, and z axes are used for three-dimensional structures. The height of the object is displayed in the z-axis.
In Mathematics area and perimeter of certain figures are known,
Rectangle
Perimeter of a Rectangle = 2(a+b)
Area of Rectangle = a × b
Square
Perimeter of a Square = 4a
Area of a Square = a²
Triangle
Perimeter of a triangle = a + b +c , where a, b and c are the three different sides of the triangle.
Area of a triangle = 1/2 b × h; where b is the base and h is the height of the triangle.
Circle
Circumference of Circle = 2πr
Area of Circle = πr²
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help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The amount owed by the debtor is $10865
How to determine the amount owed in six years?The given parameters about the compound interest are
Principal Amount, P = $5300
Interest Rate, R = 8%
Time, t = 6 years
To calculate the amount owed, we make use of the following formula
A = P + CI
Where
Compound interest, CI = P(1 + R)^t - P
So, the equation becomes
A = P + P(1 + R)^t - P
Evaluate the like terms
A = P(1 + R)^t
In this question, the formula is given as
A = P(1 + r/n)^nt
Where
n = 12, i.e compounded monthly
Substitute the known values in the above equation
A = 5300 * (1 + 8%/12)^(6*12)
Express 8% as decimal
A = 5300 * (1 + 0.08/12)^(6*12)
Evaluate the sum
A = 5300 * (1.01)^(6*12)
Evaluate the exponent
A = 5300 * 2.05
Evaluate the product
A = 10865
Hence, the value of the amount after 6 years is $10865
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what is the range of f(X)=3x
The range is (-∞,∞),{y∣y∈R}
The range is the set of all valid y values. Using the graph to find the range.
Interval Notation: (-∞,∞)
Range: (-∞,∞),{y∣y∈R}
Graph:
In mathematics, a graph is a logical visual representation of any data. The graph shows the relationship between the values of the variables. In graph theory, a group of objects that are related in some way are represented by a graph. In essence, the edges of the objects are representations of the connections between the vertices, or nodes, of the objects. Numerous graph types are employed in mathematics and statistics to visually display data. The field of graph theory is concerned with the study of points and lines. It is a subfield of mathematics with a graph analysis emphasis.
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An unopened sweet packet contains red and yellow sweets in the ratio 1:1.
A child opens the packet and eats six of the red sweets.
The ratio of red to yellow sweets in the packet is now 4:5.
How many sweets are still in the packet?
Answer:
Step-by-step explanation: The number of yellow sweets is 28. Step-by-step explanation: Ratio of red to yellow sweets is 3:7. Total sweet is 40. total ratio is 3 + 7 = 10.
Arithmetic Sequence - Identify the first term and common difference
i) The first term, a is 3 and the common difference, d, is 2
ii) The first term, a is 18 and the common difference, d, is -5
iii) The first term, a is 8 and the common difference, d, is 11
iv) The first term, a is -15 and the common difference, d, is -4
v) The first term, a is 4.5 and the common difference, d, is 0.8
Arithmetic sequence: Determining the first term and the common differenceFrom the question, we are to determine the first terms and the common differences of the arithmetic sequences.
The first term, a, is the first number in the sequence and the common difference, d, is the value of the difference between the second term and the first term.
That is,
Common difference = Second term - First term
i) 3, 5, 7, 9, ...
a = 3
d = 5 - 3
d = 2
ii) 18, 13, 8, 3, ...
a = 18
d = 13 - 18
d = -5
iii) 8, 19, 30, 41, ...
a = 8
d = 19 - 8
d = 11
iv) -15, -19, -23, -27, ...
a = -15
d = -19 - (-15) = -19 + 15
d = -4
v) 4.5, 5.3, 6.1, 6.9, ...
a = 4.5
d = 5.3 - 4.5
d = 0.8
Hence, the first term is 4.5 and the common difference is 0.8
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when there are few data, we often fall back on personal probability. there had been just 2424 space shuttle launches, all successful, before the challenger disaster in january 1986. the shuttle program management thought the chances of such a failure were only 11 in 100,000.in 100,000. suppose 11 in 100,000100,000 is a correct estimate of the chance of such a failure. if a shuttle was launched every day, about how many failures would one expect in 300 years?300 years? round your answer to the nearest whole number.
If a shuttle was launched every day, about 1 failures would one expect in 300 years.
What is estimate?Finding an estimate or approximation—a value that can be used for a purpose despite the possibility of incomplete, uncertain, or unstable input data—is the process of estimation. Despite this, the value is still useful because it was created using the most up-to-date data.
Here,
There are about 110,000 days in 300 years, so the expected number of failures is about 10/11 ≈ 1.
This assumes the launch conditions are identical for each of the launches, or that whatever variation there might be has no effect on the probability. These are bad assumptions.
If a shuttle was launched every day, one might anticipate one failure every 300 years.
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Which angles are coterminal with 32
Answer:
-330°
Step-by-step explanation:
just gotta trust it i guess
1
ed
H
I
6
mZI =
9
J
Write your answer as an integer or as a decimal rounded to the
nearest tenth.
01
HR
SE
OL
Answer: m∡Ɪ = 41.8 °
___
Step-by-step explanation:
Use the following mnemonic for right triangles:
SOH CAH TOA ;
in which:
sin = opposite/ hypotenuse ;
cos = adjacent/ hypotenuse ;
tan = opposite/adjacent ;
___
We shall solve for the unknown " m∡Ɪ " ;
that is: "the measure of Angle Ɪ ".
From looking at the image attached:
Let's take at ∡Ɪ .
We see that the opposite side = 6 ; and that the hypotenuse = 9 ;
So, from the mnemonic mentioned ^above.
We use the SOH component:
sin Ɪ = opposite /adjacent ;
= 6/9 ;
which can be reduced:
" 6/9 = (6÷3)/(9÷3) = (2/3) ."
So: sin Ɪ = (2/3) ;
To solve for Ɪ ;
We use a calculator; to take the (arcsin) of Each Side of the equation:
[(arcsin) sin Ɪ ] = (arcsin) ( [tex]\frac{2}{3}[/tex] ) ;
to get: Ɪ = 41.810314895779 ;
[Source used: Web2.0 Online Scientific Calculator].
Now, we shall round this calculated decimal number to the nearest tenth; that is; to the nearest single decimal point that appears after the non-decimal value.
We have: 41.81... ;
So: 41.8 ? Or: 41.9 ? If the digit in the hundredth place [that is, the next occurring decimal] is "4 or lesser" [i.e. "0, 1, 2, 3, or 4"] ; then we round down.
If the digit in the hundredth place [that is, the next occurring decimal] is "5 or greater" [i.e. "5, 6, 7, 8, or 9"] ; then we round down.
In our case, we have: "41.81..." ;
→ As such, we round down to "41.8" .
The correct answer is " m∡Ɪ = 41.8 °
___
I hope this answer and explanation are helpful to you!
Best wishes!
___
what proportion of these tv sets are good? b. how many total samples (without replacement) of size five can be selected from this population?
The combination of 6 are total samples (without replacement) of size five can be selected from this population
What is permutation and combination?
Combination and permutation are two alternative strategies to divide up a collection of elements into subsets in mathematics. The components of the subset may be arranged in any order when combined. The subset's components are listed in a permutation in a certain order.ⁿCr = n!/( n-r)! r!
r = 5
total samples
⁶C₅ = 6!/(6-5)!5!
= 6!/1!5!
= 6 * 5!/1*5!
= 6
Hence, there are 6 ways
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Write an inequality for the statement:
-2/7 is at most the product of a number and -4/5.
The inequality for the statement:-2/7 is at most the product of a number and -4/5. is --4x/5 ≤ -2/7
How to write the inequality for the given statementInformation from the question
the statement: -2/7 is at most the product of a number and -4/5
Inequality is a means of representing the relationship existing between the positive and negative parts of equations, using other terms aside exactly using equal to
at most means the highest value hence the answer is either the number or less.
let the number be x
x * -4/5 ≤ -2/7
--4x/5 ≤ -2/7
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7. A. Write a second equation so that the system will have no solutions. B. Write a second equation so that system
will have infinitely many solutions. 2x - 4y = 22
A) The second equation is 2x - 4y +20=0, this system has no solutions.
B) The second equation is x-2y-11=0, this system has infinite number of solutions.
What is meant by an equation?An equation is a mathematical formula that expresses the equality of two expressions by connecting them with the equals sign =. The term equation and its cognates in various languages may have subtle changes in meaning.
Solving an equation with variables includes determining which variables' values result in equality. The variables for which the equation must be solved are also known as unknowns, and the unknown values that satisfy the equality are known as equation solutions. There are two sorts of equations: identities and conditional equations. An identity holds true for all variable values.
Given equation is,
2x - 4y = 22
A) Let the second equation be
2x - 4y +20=0
∴a₁/a₂=1
b₁/b₂=1
c₁/c₂=-11/10
Therefore, a₁/a₂=b₁/b₂≠c₁/c₂
Hence, the system has no solution.
B) Let the second equation be,
x-2y-11-0
Therefore, a₁/a₂=b₁/b₂=c₁/c₂=2/1
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PLEASE HELP ASAP! NEED REAL ANSWERS!
The vertex of y=|2x+4|+5 is (-2, 5) and Range of the y=|2x+4|+5 is 5≤y<∞
What is a function?A relation is a function if it has only one y-value for each x-value.
We need to find the vertex and range of y=|2x+4|+5
f(x)=2x+4
f of x is equal to zero
2x+4=0
Subtract 4 from both sides
2x=-4
Divide both sides by 2
x=-2
y=|2x+4|+5
=|2(-2)+4|+5=|-4+4|+5=5
Hence vertex is (-2, 5)
The range of the y=|2x+4|+5 is 5≤y<∞
Hence vertex is (-2, 5) and Range of the y=|2x+4|+5 is 5≤y<∞
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Florence and Anna are preparing meals to serve at a local homeless shelter. The number of people they will be able to serve depends on the number of meals they prepare. p = the number of people Florence and Anna will be able to serve m = the number of meals Florence and Anna prepare Which of the variables is independent and which is dependent?
A)p is the independent variable and m is the dependent variable
B) m is the independent variable and p is the dependent variable
B) m is the independent variable and p is the dependent variable.
Its given in question,
The number of people they will be able to serve depends on the number of meals they prepare. p = the number of people Florence and Anna will be able to serve m = the number of meals Florence and Anna prepare.
Which means people served depends on the meals prepared.
Therefore, p depends on m.
Hence, m is the independent variable and p is the dependent variable.
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Ben earns $9 per hour and $6 for each delivery he makes. He wants to earn more then $155 in an 8 hour workday. what is the least number of deliveries he must make to reach his goal?
Answer:
The least number of deliveries that Ben must make is 14.
Step-by-step explanation:
18 The diagram shows a rectangular garden path. 600 cm Wasim is going to cover the path with paving stones. Each paving stone is a square of side 30 cm. Each paving stone costs £2.50 Wasim has £220 to spend on paving stones. Show that he has enough money to buy all the paving stones he needs. 120 cm
Answer:
Step-by-step explanation:
A = 600 x 120 = 72 000 cm^2
Area of a paving stone = 30^2 = 900 cm^2
number of paving stone = 72 000 : 900 = 720 : 9 = 80
Total cost = 2.50 * 80 = £200.00
PLEASE HELP! I WILL NAME YOU THE BRAINLIEST! THE THING IS IN THE PHOTO!
The graph shows how many gallons of gas are used by a boat when it travels how many gallons of gas would the boat use to travel 24 miles
To travel 24 miles of distance it require 16 gallons of gas
Ratio :
A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Proportion :
A proportion is an equation in which two ratios are set equal to each other,
From the graph,
We are observing that,
The boat uses 4 gallons to travel 6 miles. Traveling 4 times as far is expected to require 4 times the gas.
In 4 gallons of gas travelling 6 miles,
that is,
In simple word,
4 gallons = 6 miles
Multiply both side by 4 we get,
4 x 4 gallons = 6x4 miles
16 gallons = 24 miles
Thus we can say,
To travel 24 miles of distance it require 16 gallons of gas
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