Answer:
Ken runs faster.
Step-by-step explanation:
Explanations are in the attachment. Conversion factors are easier than they sound. They serve only to change units. For example, there are 12 inches in a foot, by definition. This becomes a conversion factor when written as:
(12 in/1 foot)
The really fun thing about conversion factors is that they can be inverted. So we can also write (1 foot/12 inches). The numerator and denominator are, at some level, equal to each other. They are equivalent to "1." That means we can multiply them times anything, no questions asked. You can always multiply by 1. The difference is that the units must change to maintain the original value, in different units.
So if we have a 10 foot pole, we can also say we have a (10 foot)*(12 inches/1 foot) = 120 inch pole. 10 foot and 120 inch poles are equal, just with different units.
The reverse is also true. If the kid up the block brags his pole is 120 inches, you can invert the conversion factor and bring him back down to Earth:
(120 inches)*(1 foot/12 inches) = 10 feet
----
Ken runs faster, by the way.
Add: 8x2 + 7xy – 6y2 , 4x2 – 3xy + 2y2 and -4x2 + xy – y2
The given terms in the question can be added by collecting like terms. So that the addition is:
8\(x^{2}\) + 5xy -5\(y^{2}\)
The addition of terms involve adding like terms so as to simplify the final expression.
Thus considering the terms in the given question, the addition would give:
(8\(x^{2}\) + 7xy - 6\(y^{2}\)) + (4
open the brackets and collect like terms to have;
8\(x^{2}\) + 7xy - 6\(y^{2}\) + 4
8\(x^{2}\) + 4
8\(x^{2}\) + 5xy -5\(y^{2}\)
Therefore on adding the given terms, the expression derived as answer is:
8\(x^{2}\) + 5xy -5\(y^{2}\)
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What is the next number in the sequence below?
4, 11, 18, 25,?
A. 43
B. 29
C. 36
D. 32
Answer:
D.32
Step-by-step explanation:
25-18=7
18-11=7
11-4=7
Answer:
The next number in the sequence is (D) 32.
Step-by-step explanation:
Each number in the sequence is added by 7 compared to the previous number.
4 + 7 = 11
11 + 7 = 18
18 + 7 = 25
Therefore, 25 + 7 would equal 32.
Find the distance between the points of (3,6) and (7,9)
Answer:
6.32455532 or 2 √ 10 units
On her first day of work, Janabel sold one widget. On day two, she sold three widgets. On day three, she sold five widgets, and on each succeeding day, she sold two more widgets than she had sold on the previous day. How many widgets in total had Janabel sold after working 2020 days
On solving the provided question, we can say that the sequence what we tell on day 3 = he sold 5; on day 4 = he sold 7; on day 5 = he sold 9
what is a sequence?A collection of numbers, or "terms," is referred to as a sequence. Examples of terms are 2, 5, and 8. Some sequences can be made endlessly lengthy by taking advantage of a particular pattern they follow. Use the example of 2,5,8 and add 3 to continue the sequence. There are formulas that demonstrate where to look for words within a sequence. A collection of objects that are in some order is known as a sequence in mathematics (or events). It resembles a set in that it contains pieces (also called elements or terms). The entire, perhaps infinite number of ordered objects are referred to as the sequence's length. the act of placing two or more items in a logical order. Chronological.
here,
on day 1 = he sold 1
on day 2 = he sold 3
on day 3 = he sold 5
on day 4 = he sold 7
on day 5 = he sold 9
.
.
.
.
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Select all statements that are true of polynomials:
Answer:
All of them are true except the 5th from the top
Step-by-step explanation:
Sara drops a tennis ball and lets it bounce. She records the height of the ball after each of its bounces as an ordered pair, where x represents the number of bounces and y represents the height of the ball in inches. The ordered pairs she records are (1,8), (2,6), (3,2) and (4,1)
We can plot the points (1,8), (2,6), (3,2), and (4,1) on a graph by using a coordinate plane and the x and y-coordinates of each point.
To plot these points, we will use a coordinate plane, which is a two-dimensional graph with an x-axis and a y-axis. The x-axis represents the horizontal position, and the y-axis represents the vertical position. We will use the x-coordinate to determine the horizontal position of the point and the y-coordinate to determine the vertical position of the point.
For the first point, (1,8), we will start at the origin of the graph, which is the point (0,0). We will then move 1 unit to the right along the x-axis and 8 units up along the y-axis to plot the point.
For the second point, (2,6), we will start again at the origin and move 2 units to the right along the x-axis and 6 units up along the y-axis to plot the point.
We will repeat this process for the remaining points, (3,2) and (4,1), to plot all four points on the graph. Once all four points are plotted, we can connect them with a line to visualize the pattern of the ball's bounces.
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Complete Question:
Sara drops a tennis ball and lets it bounce. She records the height of the ball after each of its bounces as an ordered pair, where x represents the number of bounces and y represents the height of the ball in inches.
The ordered pairs she records are (1,8), (2,6), (3,2) and (4,1).
Plot the ordered points on the graph.
You and a friend are playing a game by tossing two coins. If both coins land on heads,
you win. If both land on tails, your friend wins. Otherwise, nobody wins. The table shows
the possible outcomes.
Is this a fair game?
Answer:
I'm not 100% sure but i think its a
Step-by-step explanation:
Both have 2 heads and 2 tails so that's 4 and it's a fair game and b is wrong and you will eliminate c.
The game is fair because there is an equal chance of winning an losing the game.
What is probability?Probability is simply how likely something is to happen.
Probability formula\(P(E )=\frac{Number\ of \ favorable\ outcomes }{Total\ number \ of outcomes}\)
Where,
P(E) is the probability of an event.
What is the fair game?A fair game is the game in which there is an equal chance of wining or losing.
According to the given question.
Two coins are tossed.
\(\implies sample\ space= \{ HH, HT, TH, TT\}\)
\(\implies total\ number \ of outcomes = 4\)
Therefore,
The probability that you win is given by
\(P(E_{1} )=\frac{Number\ of \ favorable\ outcomes }{Total\ number \ of outcomes}\)
\(\implies P(E_{1} )= \frac{1}{4}\) (getting HH is a favorable outcome)
\(\implies probability\ of\ losing\ the\ game = 1-\frac{1}{4} =\frac{3}{4}\)
And, the probability that your friend wins the game is given by
\(P(E_{2}) = \frac{Total\ number\ of\ favorable\ outcomes\ }{Total\ number\ of\ outcomes}\)
\(\implies P(E_{2} )=\frac{1}{4}\) (getting TT is the favorable outcome)
\(\implies probability\ of\ losing\ the\ game = 1-\frac{1}{4} =\frac{3}{4}\)
Hence, the game is fair because there is an equal chance of winning an losing the game.
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someone help me please
Answer:
multiply vertically
Step-by-step explanation:
in the context of big data, ______ relates to changes in meaning.
Semantics is the branch of linguistics that explores how meaning is conveyed through language. In the context of big data, it refers to the changes in the interpretation of data and how it can be used to yield meaningful insights.
Semantics is a branch of linguistics that deals with the study of meaning in language. In the context of big data, semantics relates to how data is interpreted and how it can be used to gain meaningful insights. Semantic analysis looks at the context of data and how it changes in meaning over time. This analysis helps to understand how the data can be used to make decisions, solve problems, and improve processes. Semantic analysis also helps to identify trends, relationships, and patterns in data that can be used to formulate decisions, plans, and strategies. By understanding the changes in meaning, organizations can use the data to make more informed and accurate decisions.
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a change in a population that is not related strictly to the size of the population is best described as
A change in a population that is not related strictly to the size of the population can be described as a change in the demographic makeup of the population. This refers to changes in the characteristics of individuals within the population, such as age, gender, education level, and ethnicity.
For example, if a population experiences an influx of young adults, this would represent a change in the demographic makeup of the population, even if the overall size of the population remains the same.
Other factors that can contribute to a change in the population's makeup include migration patterns, changes in birth rates and mortality rates, and shifts in cultural or social norms. These changes can have significant impacts on a population, affecting everything from economic growth to social dynamics. Understanding demographic changes is therefore critical for policymakers and researchers seeking to address issues such as inequality, public health, and urban planning. By analyzing population trends and anticipating future changes, we can better prepare for the challenges and opportunities that lie ahead.
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=
Find the average rate of change of f(x) = 5x2 - 4 on the interval [4, a).
Your answer will be an expression involving a.
Answer:
5(a +4) = 5a +20
Step-by-step explanation:
The average rate of change (m) on interval [p, q] is computed as ...
m = (f(q) -f(p))/(q -p)
For the given interval and function, this is ...
m = ((5a^2 -4) -(5·4^2 -4))/(a -4) = 5(a^2 -4^2)/(a -4) = 5(a +4)
The average rate of change on the interval is 5(a+4).
301,251,769 to the nearest ten thousand
Answer:
301,250,000
I'm pretty sure that's it.
The graph below represents the path of a golf ball
Answer:
take a better picture
Step-by-step explanation:
Nobody can see that ;-;
Answer:
It is one of the 4 answers the question gives.
Step-by-step explanation:
justin and Amy are trying to prove the Triangle Angle Sum Theorem. Justin draws a triangle on a piece of paper, tears off the corners, and arranges them to form a line. Amy constructs a line through one vertex that is parallel to the opposite side and uses the Alternate Interior Angles Theorem to show that the interior angles add up to 180°. Who proved the theorem? Explain. (1 point)
A Only Amy proved the theorem because she used postulates and theorems to construct a logical argument to show that the interior angles in a triangle add up to 180°.
B Only Justin proved the theorem because he demonstrated that the angles formed a line.
C Both Amy and Justin proved the theorem. Amy used postulates and theorems, while Justin used a demonstration.
D Neither Amy nor Justin proved the theorem.
Answer:A
Step-by-step explanation: Only Amy is correct.
What is the solution to this inequality?
Answer:
x > −4
Step-by-step explanation:
Step 1: Add 5 to both sides.
6x-5+5 > -29+5
6x>-24
Step 2: Divide both sides by 6
6x/6 > -24/6
x > -4
i need help bad please and thank you
(x; y-8)
The triangle moves down 8 spaces, so the y value decreases with 8. The triangle didn’t move left or right so the x value didn't change
For f(x) = x³ (x-1)^-2, you may assume that f'(x) = {x² (x-3)}/(x-1)³ and f''(x) = 6x/ (x − 1)⁴(a) Find the interval(s) on which f is decreasing, if any. Justify your answer.(b) Find the (x, y) point(s) at which f has a local (relative) maximum, if any. Justify your answer.(c) On which interval(s) is f concave down? Justify your answer.(d) Find the (x, y) point(s) at which f has an inflection point, if any. Justify your answer.
Then f has inflection points at x=0 and x=1. To justify this, we can check that the concavity changes from up to down at x=0 and from down to up at x=1. The corresponding y-values are f(0) = 0 and f(1) = 0.
(a) To find the interval(s) on which f is decreasing, we need to find where the derivative f'(x) is negative. From the given derivative, we see that f'(x) is negative when x is between 1 and 3. Therefore, the interval on which f is decreasing is [1,3).
(b) To find the (x, y) point(s) at which f has a local maximum, we need to find where the derivative f'(x) changes sign from negative to positive. From part (a), we know that f is decreasing on [1,3). Therefore, it must have a local maximum at x=1.
To justify this, we can use the second derivative test: f''(1) = 6/(1-1)^4 = undefined, which means the second derivative does not exist at x=1. However, we can still use the first derivative test: f'(x) is negative to the left of x=1 and positive to the right of x=1, which means that f has a local maximum at x=1. The corresponding y-value is f(1) = 0.
(c) To find the interval(s) on which f is concave down, we need to find where the second derivative f''(x) is negative. From the given second derivative, we see that f''(x) is negative when x<0 or x>0. However, we also need to check the point x=1 where the second derivative does not exist. Using the definition of concavity, we can see that f is concave down on (-∞,0) and (0,1).
(d) To find the (x, y) point(s) at which f has an inflection point, we need to find where the second derivative f''(x) changes sign. From part (c), we see that f''(x) changes sign at x=0 and x=1.
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In ΔRST, the measure of ∠T=90°, the measure of ∠R=82°, and TR = 44 feet. Find the length of ST to the nearest tenth of a foot.
Answer:313.1
Step-by-step explanation:
Find the slope of m of the line in the graph
Answer:
4
Step-by-step explanation:
If x = 6, y = 4 and z = 1, evaluate x(y to the power of 2 - z)
The solution to the evaluation of the expression x(y² - z) x = 6, y = 4 and z = 1 is 90
How to solve equationEvaluate:
x(y² - z)
When
x = 6, y = 4 and z = 1
x(y² - z)
substitute the value of x, y and z
= 6(4² - 1)
Applying PEMDAS:
P = parenthesis
E = Exponential
M = Multiplication
D = Division
A = Addition
S = Subtraction
= 6(16 - 1)
= 96 - 6
= 90
In conclusion, the expression x(y² - z) when evaluated gives 90.
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If 30.0 moles of oxygen are used, how many grams of water will form?
Answer:
3
Step-by-step explanation:
The amount of water released will be 1.081 grams.
How to calculate the amount of water released in a chemical reaction?The balanced chemical equation for the reaction between hydrogen gas and oxygen gas to form water is:
2H₂+ O₂ -> 2H₂O
According to the equation, 2 moles of hydrogen gas react with 1 mole of oxygen gas to form 2 moles of water. This means that the mole ratio of oxygen gas to water is 1:2.
If 30.0 moles of oxygen gas are used, we can use this mole ratio to calculate the number of moles of water that will form:
30.0 moles O₂ x (2 moles H2O / 1 mole O₂) = 60.0 moles H₂O
So, 60.0 moles of water will form.
To convert from moles to grams, we need to use the molar mass of water, which is approximately 18.015 g/mol. Therefore:
60.0 moles H₂O x 18.015 g/mol = 1,081 g
So, 1,081 grams of water will form.
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My last 15 points if anyone wants to answer this! What's 1+1
Answer:
11
Step-by-step explanation:
6. (10 points) Suppose there is a video games company. Each week they need fo prudiree 4) new video games fo their customars. The long-nin productioo function is Q=30kb d. whete 0 is the nunber of vidoo games probliced, X is the quantity of canikat rentiod, and 1 a 12L Rik K if. Tho weckly cost finctict is C=40 K+20 L abere C is the hotal weekly cost.
a. (4 points) What ratio of capital to labor minimins the firn' x total wots?
b. (4 points) How much capital and bhor will the firm need to reat and hire fo produce 6l) video games cach week? (Rousd the aniwers to the acarest intoger)
c. (2 points) How much will thine atrous boef?.
a. In order to find out the ratio of capital to labor, we will use the formula given below:Marginal product of capital / Price of capital = Marginal product of labor / Price of laborHere, marginal product of capital = dQ/dK = 30b - Kmarginal product of labor = dQ/dL = 12KPrice of capital = Rk = $40Price of labor = RL = $20.
We know that, the total cost of production is: C = RkK + RL LSubstituting the values of Rk and RL in the above equation, we get: C = $40K + $20LNow, let us calculate the marginal cost of production, which is given by dC/dQ.Marginal cost of production (MC) = dC/dQ = d($40K + $20L)/dQ = 40K/30b - K + 20L/12KWe need to minimize the total cost, which is given by:Total cost = RkK + RL L = 40K + 20LNow, let us differentiate the above equation with respect to K and equate it to zero, to get the value of K.K = 3b.
Substituting the value of K in the equation for total cost, we get:L = 2b/3Therefore, the ratio of capital to labor that minimizes the firm's total cost is 3:2.b. In order to produce 60 video games per week, we need to substitute Q = 60 in the production function:Q = 30Kb - Kd = 60b - KdSolving for K, we get:K = 2b/3Substituting the value of K in the above equation, we get:L = 4b/3Therefore, the firm will need 2 units of capital and 4 units of labor to produce 60 video games per week.c. The average cost per unit of production is given by the formula:C/Q = RkK/Q + RL L/QSubstituting the values of Rk and RL, we get:C/Q = $40K/Q + $20L/QSubstituting the values of K and L, we get:C/Q = $40(2/3) + $20(4/3) = $40Therefore, the average cost per unit of production will be $40.
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Given: f(x) = 11(0.92)X
Is this exponential growth or decay?
What is the rate of growth or decay?
What was the initial amount?
HELP HELP HELP
What is the explicit rule for the arithmetic sequence?
20. 5, 18, 15. 5, 13, 10. 5,.
an=23+2. 5n
an=20. 5−2. 5n
an=20. 5+2. 5n
an=23−2. 5n
an=20.5+2 5n
correct me if I'm wrong
what's the value of x
Answer:
x = 122°
Step-by-step explanation:
There is remote angle( non- adjecent angle) and their sum equal to the exterior angle .
Exterior angle is an angle formed from one side of the polygone and the extended side so
<A and <B are remot angle and <BCD is exterior angle .
And we write the equetion as
<A + <B = <BCD
58° + 64° = x°
122° = X°
so the exterior angle ( x ) measures 122° .
5. Write an equation for the linear
relationship shown below.
Answer:
y=3×-11
Step-by-step explanation:
y=m+c
m=7-1÷6-4
m=6÷2
m=3
y=3+c
7=3(6)+c
7-18=c
-11=c
y=3×-11
easy please helppp match the following defintion with the correct term: the vertical distance between two points on a line
1. run
2. rate of run
3. slope
4. rise
Answer:
4. rise
match the following definition with the correct term:
the vertical distance between two points on a line
1. run
2. rate of run
3. slope
4. rise
Determine the x -intercepts of the quadratic y = x 2 + 2 x − 15 by factoring.
Answer:
x-intercepts: x=3, -5
Step-by-step explanation:
y = x^2 + 2x − 15
y = x^2 + 5x - 3x − 15 ==> 5*(-3)=-15 and 5+(-3) = 5-3=2
y = x^2 + 5x - 3x − 15
y = x(x+5) - 3(x+5)
y = (x-3)(x+5)
x-3=0 ==> x=3
x+5=0 ==> x=-5
x-intercepts: x=3, -5
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What kind of transformation is shown in the picture?
Rotation refers to the act or process of turning or spinning around a central axis or point. In physics and mathematics, rotation describes the circular or angular motion of an object or a system around a fixed point or axis.
It involves the movement of an object or system in a circular path, where each point on the object follows the same circular trajectory.The axis of rotation is an imaginary line or point around which the object rotates. All points on the object move in circles or arcs around this axis.
The angle of rotation measures the amount of turning or angular displacement of an object or system. It is usually expressed in degrees or radians.
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