The table below shows the growth of algae cells within the Chesapeake Bay. Which of the following functions models the concentration, C(d), of algae cells per milliliter in d days?
Answers
The exponential function that represent the concentration of algae cells per milliliter in d days is [tex]C(d) = 10(2)^d[/tex]
What is an equation?An equation is an expression that shows the relationship between two numbers and variables.
The standard form of an exponential funtion is in the form:
y = abˣ
Where a is the initial value and b is the multiplication factor.
Let C(d) represent the concentration of algae cells per milliliter in d days
At point (1, 20)
20 = ab (1)
At point (2, 40)
40 = ab² (2)
From equations 1 and 2:
b = 2, a = 10
The exponential function that represent the concentration of algae cells per milliliter in d days is [tex]C(d) = 10(2)^d[/tex]
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Related Questions
What's the forecasted capital expenditure based on the information below? • Net PP&E beginning of period: 15,000 • Net PP&E end of period: 17,500 Depreciation expenses: 2,400
Answers
The forecasted capital expenditure related to the information below exists at 4,900.
Therefore, the correct answer is option b) 4,900.
What is Capital?Capital exists directed as the lifeblood of any business. It exists the group of assets of the business that contains their financial value to create the production of goods and services.
For calculating the forecasted capital-
Net PP&E beginning of period = 15,000
Net PP&E end of period = 17,500
Depreciation expenses = 2,400
Forecasted capital expenditure = Net PP&E end of period + Depreciation expenses - Net PP&E beginning of the period
= 17500 + 2400 - 15,000
Forecasted capital expenditure = 4,900
Therefore, the correct answer is option b) 4,900.
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The complete question is:
What’s the forecasted capital expenditure based on the information below?
Net PP&E beginning of period: 15,000
Net PP&E end of period: 17,500
Depreciation expenses: 2,400
Review Later
a) 2,500
b) 4,900
c) 100
d) -100
G wants to get over 9000 comments on his videos. He gets the same number of comments for each cat video that he uploads, and he gets the same number of comments for each dog video that he uploads. Let C represent the number of cat videos and D represent the number of dog videos that G should upload to achieve his goal.
750C+450D>9000 According to the inequality, how many comments does each cat video get, and how many comments does each dog video get?
can G achieve his goal by uploading 8 cat videos and 7 dog videos?
Answers
Answer:
Each Cat video gets 750 comments
Each dog video gets 450 comments
Hope this helps you!
Answer:
He gets 750 comments on the cat videos and 450 on the dog videos the answer to the second question is yes
Step-by-step explanation:
khan :)
1. If A = {a, b, c, d}, B={c, d, e, f}, C={x, y, z} find (A-B)
Answers
Answer
here
A={a,b,c,d}
B={c,d,e,f}
C={x,y,z}
A-B={e,f}
Directions: Factor the following trinomials containing negative numbers. Follow the rules for operations with signed numbers to identify the correct binomial factors.
1. x2 + 6x - 7
2. x2 - 5x + 6
3. x2 - 6x - 7
4. x2 + 5x - 6
5. x2 + x - 12
6. x2 - 2x - 8
7. x2 - 4x - 5
8. x2 + 2x - 3
9. x2 - 16
10. x2 - x - 12
11. x2 -9x + 18
12. x2 -5x - 14
13. x2 - 7x + 10
14. x2 -11x + 24
15. x2 - x - 30
Answers
The factored form of the given quadratic expressions are
1. (x -1)(x +7)
2. (x -2)(x -3)
3. (x +1)(x -7)
4. (x -1)(x +6)
5. (x -3)(x +4)
6. (x +2)(x -4)
7. (x +1)(x -5)
8. (x -1)(x +3)
9. (x +4)(x -4)
10. (x +3)(x -4)
11. (x -3)(x -6)
12. (x +2)(x -7)
13. (x -2)(x -5)
14. (x -3)(x -8)
15. (x +5)(x -6)
Factoring quadratic expressionsFrom the question we are to factor the given quadratic expressions
1. x² + 6x - 7
x² +7x -x - 7
x(x +7) -1(x +7)
(x -1)(x +7)
2. x² -5x +6
x² -3x -2x +6
x(x -3) -2(x -3)
(x -2)(x -3)
3. x² -6x -7
x² -7x +x -7
x(x -7) +1(x -7)
(x +1)(x -7)
4. x² +5x -6
x² -x +6x -6
x(x -1) +6(x -1)
(x -1)(x +6)
5. x² + x - 12
x² +4x -3x -12
x(x +4) -3(x +4)
(x -3)(x +4)
6. x² -2x -8
x² -4x +2x -8
x(x -4) +2(x -4)
(x +2)(x -4)
7. x² -4x -5
x² -5x +x -5
x(x -5) +1(x -5)
(x +1)(x -5)
8. x² + 2x - 3
x² +3x -x -3
x(x +3) -1(x +3)
(x -1)(x +3)
9. x² - 16
(x +4)(x -4)
10. x² -x -12
x² -4x +3x -12
x(x -4) +3(x -4)
(x +3)(x -4)
11. x² -9x +18
x² -6x -3x +18
x(x -6) -3(x -6)
(x -3)(x -6)
12. x² -5x -14
x² -7x +2x -14
x(x -7) +2(x -7)
(x +2)(x -7)
13. x² -7x +10
x² -5x -2x +18
x(x -5) -2(x -9)
(x -2)(x -5)
14. x² -11x +24
x² -8x -3x +24
x(x -8) -3(x -8)
(x -3)(x -8)
12. x² -x -30
x² -6x +5x -30
x(x -6) +5(x -6)
(x +5)(x -6)
Hence, the factored form of the given quadratic expressions are
(x -1)(x +7)
(x -2)(x -3)
(x +1)(x -7)
(x -1)(x +6)
(x -3)(x +4)
(x +2)(x -4)
(x +1)(x -5)
(x -1)(x +3)
(x +4)(x -4)
(x +3)(x -4)
(x -3)(x -6)
(x +2)(x -7)
(x -2)(x -5)
(x -3)(x -8)
(x +5)(x -6)
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You inherit one million dollars. You invest it all in three accounts for one year. The first account pays 3% compounded annually, the second account pays 4% compounded annually, and the third account pays 2% compounded annually. After one year, you earn $34,000 in interest. If you invest four times the money into the account that pays 3% compared to 2%, how much did you invest in each account?
Answers
The amount that was invested are at 3% = 400000, at 4% = 500000 and at 2% = 100000
How to solve for the amount investedWe have x + y + z = 1000000
((1+0.03)x - x)+ ((1+0.04)y - y) + ((1 + 0.02)z-z) = 34000
4z + x + z = 1000000
((1+0.03)4z - 4z)+ ((1+0.04)y - y) + ((1 + 0.02)z-z) = 34000
((1+0.03)4z - 1)+ ((1+0.04)y - 1) + ((1 + 0.02)z-1) = 34000
12/100z + 4/100y +2/100z = 34000
2y + 7z = 1700000
-2y - 10z = -2000000
2y + 7z = 1700000
Solve through the use of the simultaneous linear equation
z = 100000
y = 500000
x = 400000
The amount that was invested are at 3% = 400000, at 4% = 500000 and at 2% = 100000
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5. If 15 men can finish a work in 16 days in how many days will 8 men can finish the same work? a. 15 b. 20 c. 30 d. 42
Answers
Answer:
C. 30
Step-by-step explanation:
15 men do work in 16 days
This means that 7.5 men (15/2) would do that same work in 32 days (16x2).
If the number of men increase, the amount of days decrease.
8 men would do that work in 30 days
8 men > 7.5 men
30 days < 32 days
Answer:
Option c.
Step-by-step explanation:
It is an inverse proportion, fewer workers more days to finish the job.
15 -----16
8 ----- x
x = (16)(15)/8 = 240/8 = 30 days
Hope this helps
120 high school seniors were asked,
"Are you going to the graduation
party?" Of those 120 students, 75 said yes. Estimate the population mean
that a senior will say they are going to the graduation party.
Answers
Using proportions, the estimate of the population percentage of seniors that will say they are going to the graduation party is of 62.5%.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
The estimate of a population proportion is the sample proportion. In this problem, the sample proportion is of 75 out of 120 students, hence:
p = 75/120 = 0.625 = 62.5%.
The estimate of the population percentage of seniors that will say they are going to the graduation party is of 62.5%.
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How to make 3 dimensional object become 4 dimensional object
Answers
Using Hinton's method;
Draw two ordinary 3D cubes in 2D space, one encompassing the other, separated by an "unseen" distanceThen draw lines between their equivalent vertices.The eight lines connecting the vertices of the two cubes in this case represent a single direction in the "unseen" fourth dimension.What is a 4 dimensional shape?A four-dimensional shape (4D) is a mathematical extension of a three-dimensional or 3D space.
Three-dimensional space is the simplest possible abstraction of the observation that one only needs three numbers, called dimensions, to describe the sizes or locations of objects.
Using Hinton's method;
Draw two ordinary 3D cubes in 2D space, one encompassing the other, separated by an "unseen" distanceThen draw lines between their equivalent vertices.The eight lines connecting the vertices of the two cubes in this case represent a single direction in the "unseen" fourth dimension.Learn more about dimensional shapes here:
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A tank holds 3,000 gallons of water, which drains from the bottom of the tank in half an hour. The values in the table show the volume V of water remaining in the tank (in gallons) after t minutes.
Answers
a) The slope of the secant lines are: q = 5, f(q) = 2,076: m = - 131.1, q = 10, f(q) = 1,299: m = - 106.8, q = 20, f(q) = 357: m = - 81.6, q = 25, f(q) = 84: m = - 68.1, q = 30, f(q) = 0: m = - 51.
b) The estimated slope of the line tangent to the curve at the point (x, y) = (15, 765) is - 94.2 gallons per minute.
How to estimate the slope of a tangent line by averaging two adjacent secant lines
In this problem we must determine the slope of several lines based on the information given by the table and using the secant line formula:
m = [f(q) - f(p)] / (q - p) (1)
If we know that a = 15 and p = 765, then the slope of the secant lines are:
q = 5, f(q) = 2,076
m = [2,076 - 765] / (5 - 15)
m = - 131.1
q = 10, f(q) = 1,299
m = [1,299 - 765] / (10 - 15)
m = - 106.8
q = 20, f(q) = 357
m = [357 - 765] / (20 - 15)
m = - 81.6
q = 25, f(q) = 84
m = [84 - 765] / (25 - 15)
m = - 68.1
q = 30, f(q) = 0
m = [0 - 765] / (30 - 15)
m = - 51
The slope of the line tangent to the curve at the point (x, y) = (15, 765) can be estimated by averaging the slopes of the closest secant lines:
m' = [(- 106.8) + (- 81.6)] / 2
m' = - 94.2
The estimated slope of the line tangent to the curve at the point (x, y) = (15, 765) is - 94.2 gallons per minute.
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HELP ME WITH THIS PLEASEEEE
Answers
Answer:
the perpendicular bisector
Explanation:
The perpendicular bisector will intersect the segment at its midpoint.
PLEASE HELP
Determine which quadratic equation reveals its maximum or minimum value without changing the form of the equation.
y=x² + 4x-3
y = -3(x+4)² + 1
y=(x-9)(x + 7)
y=2x²-5x+4-10
Answers
y=x²+(3+1)x-3
y=x²+3x+1x-3
y=x(x+3)-1(x+3)
y=(x-1)(x+3)
How to Convert 11010112 to base 10?
Answers
Answer:
So this is all you need to do!
Hope it helped you:)
1) The following scatterplot shows the percentage of the vote a candidate received in the 2016 senatorial elections
according to the voter's income level based on an exit poll of voters conducted by a news agency. The income
levels 1-8 correspond to the following income classes:
1 = Under $15,000; 2 = $15-30,000; 3 = $30-50,000; 4 = $50-75,000; 5 = $75-100,000;
6 = $100-150,000; 7 = $150-200,000; 8 = $200,000 or more.
Use the election scatterplot to determine whether there is a correlation between percentage of vote and income
level at the 0.01 significance level with a null hypothesis of ρs = 0.
A) The test statistic is between the critical values, so we fail to reject the null hypothesis. There is no
evidence to support a claim of correlation between percentage of vote and income level.
B) The test statistic is not between the critical values, so we fail to reject the null hypothesis. There is no
evidence to support a claim of correlation between percentage of vote and income level.
C) The test statistic is between the critical values, so we reject the null hypothesis. There is sufficient
evidence to support a claim of correlation between percentage of vote and income level.
D) The test statistic is not between the critical values, so we reject the null hypothesis. There is sufficient
evidence to support a claim of correlation between percentage of vote and income level
Answers
Option C is correct. The test statistic is not between the critical values, so we reject the null hypothesis. There is sufficient evidence to support a claim of correlation between percentage of vote and income level.
How to find the correlationThe scatter plot is the plot that is used to show the correlation that is known to exist between the given data sets that is of interests. It helps by showing the existing relationship between the x values and the y values in the question.
When we look at the graph properly, if we are to rule a line we would find out that most of the data points in the equation fall under the line in the data set. This shows that there is high correlation between these two variables.
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Why my foot keep makin cheese?!?!?!?
Answers
Answer:i am not sure
Step-by-step explanation:
This question is very hard to answer
Answer: I think your brain needs cheese but..............................................
Step-by-step explanation:
Don't know
A bird flies 50km everyday to collect food for his offspring and 20km to drink water. To fly this distance takes him 1 hour and 40 minutes. What’s his average speed over the whole day?
Answers
Answer:
42km/h
Step-by-step explanation:
70km=100 minutes
7km= 10min
42km=60min
42km/h
I need help asap. everythings in the image
Answers
The function in terms of the time (t) is t=d/r and the value of the time (t) for the given values is 5.
Linear FunctionAn equation can be represented by a linear function. The standard form for the linear equation is: ax+b , for example, y=2x+7. Where:
a= the slope
b=constant term that represents the y-intercept.
For the given example: a=2 and b=7.
In the exercise is asked the equation for the time (t) in the function of the distance (d) and the rate (r).
Thus, if d=rt, we will have t= d/r
Replacing the variables for the given values for finding t. The question gives:
distance (d) =40
rate (r) = 8
Thus, you will have t= 40/8. Then, t=5
Therefore, the answer is the fourth option.
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200 divided by 115.3597
Answers
Answer:
Step-by-step explanation:
1.733707699
could you brainlyest me?
The function y = x2 + 3 is a transformation of the function y = x2. How is the y-intercept of the function affected by the transformation?
The y-intercept of the graph of y = x2 is shifted down 3 units.
The y-intercept of the graph of y = x2 is shifted to the left 3 units.
The y-intercept of the graph of y = x2 is shifted to the right 3 units.
The y-intercept of the graph of y = x2 is shifted up 3 units.
-----------------------------------------------------------------------------------------------
Answer on Edmentum is:
The y-intercept of the graph of y = x2 is shifted up 3 units.
Explanation:
The graph of a function in the form y = f(x) + k is the graph of f shifted up k units. The graph of y = x2 + 3 is the graph of y = x2 shifted 3 units up, so the y-intercept of the graph of y = x2 is shifted up 3 units.
Answers
The y-intercept of the graph of y = x2 is shifted up 3 units.
Exponential equationThe standard exponential equation is expressed as y = ab^x. Exponential equation is inverse of logarithmic equation.
Translation of coordinatesTranslations is a transformation technique that changes the position of an object from one point on the plane to another.
Given the parent function f(x) = x^2
If the function is shifted 3 units up, the function g(x) is derived by adding 3 to the function f(x). The resulting function is given as;
g(x) = f(x) + 3
g(x) = x^2 + 3
Hence the equation of the new graph g(x) is expressed as g(x) = x^2 + 3
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11
A, B, C, and D have the coordinates (-8, 1), (-2, 4), (-3,-1), and (-6, 5), respectively. Which sentence about the points is true?
OA
A, B, C, and D lle on the same line.
OB.
AB and CD are perpendicular lines.
OC. AB and CD are parallel lines.
OD. AB and CD are intersecting lines but are not perpendicular.
OE. AC and BD are parallel lines.
Answers
For the given coordinates of A, B, C, and D as (-8, 1), (-2, 4), (-3,-1), and (-6, 5), respectively, OD, AB and CD are intersecting lines but are not perpendicular (third option) is the correct assertion.
Reasons for the Choice
Because parallel lines never intersect, the fact that lines AB and CD come to a point proves that they are not parallel. It indicates that they are intersecting lines. (Refer to the attached figure)The location where lines AB and CD intersect is not at a straight angle. As a result, lines AB and CD are not parallel.Because the distances separating the two lines differ, AC and BD are not parallel. As a result, lines AB and CD do indeed intersect, but not at a straight angle. Consequently, despite not being perpendicular, both lines intersect.Therefore, the lines OD, AB, and CD are intersecting lines but are not perpendicular.
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Which figure does NOT belong?
Answers
Answer:
C (third figure from left)
Step-by-step explanation:
The spirals in the first, second, and fourth figures are all clockwise from the outer end, i.e., if you trace these three spirals with your finger from the outside to the inside, your finger will move clockwise.
However, if you did the same with the third figure, you would see that the spiral is anti-clockwise from the outside moving in.
Therefore, the third figure doesn't belong.
find derivative of y= sin x sin 3x
Answers
The derivative of y= sin x sin 3x is [tex]$=3 \cos x-3 \cos 3 x$[/tex]
What is a derivative?Futures contracts, options contracts, and credit default swaps are typical types of derivatives. Beyond this, a sizable number of derivative contracts satisfy the requirements of a wide range of counterparties.To find the derivative of y= sin x sin 3x:
[tex]$y=3 \sin (x)-\sin (3 x)$[/tex]
[tex]$y^{\prime}=3 \cos x-[\cos (3 x) \cdot 3]$[/tex]
[tex]$y^{\prime}=3(\cos x-\cos 3 x)$[/tex]
[tex]\frac{dx}{dy} =3 cosx - 3 cos x[/tex]
Differentiate [tex]sin 3x[/tex] using the chain rule
Given [tex]y=f^{'} (g(x))*g^{'}[/tex]←chain rule
y=[tex]y=3 sin x-sin 3x[/tex]
[tex]\frac{dx}{dy} =3 cos x - cos 3x*\frac{d}{dx} (3x)[/tex]
[tex]=3cosx-3cos3x[/tex]
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There are 3
denominations of bills in a wallet: $1, $5, and $10.
There are 5 fewer $5-bills than $1-bills. There are half as many
$10-bills as $5-bills. If there is $115 altogether, find the number of
each type of bill in the wallet.
Answers
The number of $1, $5 and $10 are 49, 44 and 22 respectively.
How to use equation to find the number of bills?There are 3 denominations of bills in a wallet: $1, $5, and $10.
There are 5 fewer $5-bills than $1-bills.
let
x = number of $1 bills
Hence,
number of $5 bills = x - 5
There are half as many $10-bills as $5-bills.
number of $10 bills = 1 / 2 (x - 5)
Therefore,
x + x - 5 + 1 / 2 (x - 5) = 115
2x - 5 + 1 / 2 x - 5 / 2 = 115
2x + 1 / 2 x - 5 - 5 / 2 = 115
5 / 2 x - 7.5 = 115
2.5x = 115 + 7.5
x = 122.5 / 2.5
x = 49
Number of $1 bills = 49
Number of $5 bills = 49 - 5 = 44
Number of $10 bills = 1 / 2 (49 - 5) = 22
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The graph shows a system of inequalities.
Graph of two inequalities. One is a dashed line increasing from left to right passing through negative 5 comma 0 and 0 comma 5, and it has shading above the line. The second is a dashed upward opening parabola with a vertex at negative 2 comma negative 9 and x-intercepts at negative 5 comma 0 and 1 comma 0. This parabola is shaded on the inside.
Which system is represented in the graph?
y > x2 + 4x – 5
y > x + 5
y < x2 + 4x – 5
y < x + 5
y ≥ x2 + 4x – 5
y ≤ x + 5
y > x2 + 4x – 5
y < x + 5
Answers
The system of inequalities having the given feasible regions and points at (-5, 0), and (0, 5), and (-2, -9), (-5, 0), and (1, 0) is the option;
y > x² + 4•x - 5
y > x + 5
How can the required system of inequalities be found?The coordinates of the given points on the linear inequality are;
(-5, 0), and (0, 5)
Slope, m, of the linear inequality is therefore;
m = (5 - 0)/(0 - (-5)) = 1
The equation of the inequality is therefore;
y - 0 > 1•(x - (-5)) = x + 5
Which gives;
y > x + 5Quadratic Inequality;
The coordinates of the points on the quadratic inequality are;
Vertex point = (-2, -9)
x-intercept = (-5, 0), and (1, 0)
Therefore, we have;
y > (x + 5)•(x - 1) = x² + 4•x - 5
y > x² + 4•x - 5The correct option is therefore;
y > x² + 4•x - 5
y > x + 5
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Answer:
y > x2 + 4x – 5
y > x + 5
Step-by-step explanation:
If you put this system into desmos you will see that it matches the photo shown in the question, and it would need to be both greater than symbols because the dotted lines indicate that it is not included in the solution.
The Black Pearl is following a course that is represented by the equation. + ? = 14. . The interception course of the Flying Dutchman is represented by the equation
Use the graphing method to determine the coordinate point where the two ships’ paths meet.
Answers
According to the graph, the ships’ paths do not meet at any point.
What are linear equations?Linear equations are equations that have constant average rates of change, slope or gradient
How to determine the point where the two ships' path meet?A system of linear equations is a collection of at least two linear equations.
In this case, the system of equations is given as
2x = 5y - 40
-4x + 10y = 20
Make y the subject in the second equation, by adding 4x to both sides of the equation
4x -4x + 10y = 20 + 4x
This gives
10y = 20 + 4x
Divide both sides by 10
y = 2 + 0.4x
Substitute y = 2 + 0.4x in 2x = 5y - 40
2x = 5(2 + 0.4x) - 40
Expand
2x = 10 + 2x - 40
Subtract 2x from both sides of the equation.
2x - 2x = 10 + 2x - 2x - 40
Evaluate the like terms
0 = 10 - 40
Evaluate the like terms
0 = -30
The above equation is not true.
This means that the ships’ paths do not meet at any point.
This can be confirmed using the attached graph.
From the graph, we can see that the lines of 2x = 5y - 40 and -4x + 10y = 20 do not intersect
Hence, we can conclude that the ships’ paths do not meet at any point.
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I, so confused please help me asap!
Answers
Quadrilaterals are plane shapes that are bounded by four straight sides. Thus, the required answers to the questions are:
46. True. Other examples include kites, rhombus, etc.
47. False.
46. When a plane shape is bounded by four straight sides of equal or different lengths, it is called a quadrilateral. Examples include trapezium, kite, rhombus, rectangle, square, etc. Each of these examples has individual properties.
Thus the required answer to question 46 is; True. It can be observed that with respect to their individual properties, other quadrilaterals which have a pair of opposite angles to be equal include: kite, rectangle, rhombus, etc.
47. A ray segment is a given line that points or heads in a specific direction. So that the direction in which the ray moves is very important.
Thus in the given question, the required answer is; False. This is because the two given rays are moving in opposite directions. Though the two rays may have the same length of the segment.
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If f(x) = -1x + 1and g(x) = x4, what is (f º g)(x)?
Answers
Answer:
(f º g) = [tex]-x^4+1[/tex]
Step-by-step explanation:
So it's important to note that the notation: "(f º g)" isn't f(x) * g(x), it's a composite function, where you essentially have two functions, with one of the functions being the argument of one of the functions.
This means we can plug in the function g(x) as x into the function f. So let's do that
Original Function:
f(x) = -1x + 1
Plug in x^4 (this is the value of g(x)) as x into the function
f(g(x)) = [tex]-(x^4)+1[/tex]
Distribute the negative sign
f(g(x)) = [tex]-x^4+1[/tex]
Craig has a watch that is losing time. For every minute that passes, his watch loses 10 seconds. If Craig set his watch correctly at 9am, what time whould it show when it is 10am on the house clock?
Answers
Answer:
9:50 am
Step-by-step explanation:
because 10 x 60 is equal to 1 hour, so you get 600 seconds subtracted from 10am. 600 seconds is equal to 10 minutes. so 10 am - 10 minutes = 9:50am
Add the following polynomials, then place the answer in the proper location on the grid. Write your answer in descending powers of x.
x 4 -3x + 1, 4x 2 - 2x + 8, and x 3 - 9
Answers
The addition of the polynomials x⁴ - 3x + 1, 4x² - 2x + 8, x³ - 9 in descending powers of x is x⁴ + x³ + 4x² - 5x.
Polynomialx⁴ - 3x + 14x² - 2x + 8x³ - 9Adding the polynomial
(x⁴ - 3x + 1) + (4x² - 2x + 8) + (x³ - 9)
Open parenthesis= x⁴ - 3x + 1 + 4x² - 2x + 8 + x³ - 9
Collect like terms in descending powers= x⁴ + x³ + 4x² - 3x - 2x + 1 + 8 - 9
= x⁴ + x³ + 4x² - 5x
Therefore, the addition of the polynomials x⁴ - 3x + 1, 4x² - 2x + 8, x³ - 9 in descending powers of x is x⁴ + x³ + 4x² - 5x.
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In 5-card poker, find the probability of being dealt the following hand. Refer to the table. Note that
a standard deck of playing cards has 52 cards-4 suits (clubs, diamonds, hearts, spades), where
each suit has 13 cards (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King).
no pair
The probability of being dealt no pair is
(Type an integer or decimal rounded to eight decimal places as needed.)
Event E
Royal flush
Straight flush
Four of a kind
Full house
Flush
Straight
Three of a kind
Two pairs
One pair
No pair
Total
Number of
Outcomes
Favorable to E
4
36
624
3744
5108
10,200
54,912
123,552
1,098,240
1,302,540
2,598,960
Answers
The probability of being dealt no pair is 0.5011 or 50.11% if the tandard deck of playing cards has 52 cards-4 suits.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
It is given that:
In 5-card poker, find the probability of being dealt the following hand. Refer to the table.
From the table:
Total number of outcomes = 2598960
Total number of favourable outcomes = 1302540
The probability of being dealt no pair:
P(no pair) = 1302540/2598960
P(no pair) = 0.5011
In percentage:
P(no pair) = 50.11%
Thus, the probability of being dealt no pair is 0.5011 or 50.11% if the tandard deck of playing cards has 52 cards-4 suits.
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24 is what percent of 480?
Answers
Answer:
5%.
Step-by-step explanation:
That is
(24/480 * 100
Now 480 / 24 = 20 so we have
(1/20) * 100
= 100/20
= 5%.
Answer:
24 is 5% of 480
Step-by-step explanation:
24 / 480 = 0.05
Percent is "for each 100"
Then:
0.05 * 100 = 5%