Answer:
[tex]p = 25(3)^n[/tex]
Step-by-step explanation:
Given
Round 0 1 2 3
Points 25 75 225 675
Required
Determine the equation
Let n = rounds and p = points.
So, we have:
[tex](n_1,p_1) = (0,25)[/tex]
[tex](n_2,p_2) = (1,75)[/tex]
[tex](n_2,p_2) = (3,225)[/tex]
The above shows a geometric progression.
So, we solve using
[tex]p = ab^n[/tex]
In [tex](n_1,p_1) = (0,25)[/tex]
n = 0 and p = 25
Substitute these values in [tex]p = ab^n[/tex]
[tex]25 = ab^0[/tex]
[tex]25 = a*1[/tex]
[tex]25 = a[/tex]
[tex]a = 25[/tex]
In [tex](n_2,p_2) = (1,75)[/tex]
n = 1 and p = 75
Substitute these values in [tex]p = ab^n[/tex]
[tex]75 = ab^1[/tex]
[tex]75 = ab[/tex]
Substitute 25 for a
[tex]75 = 25*b[/tex]
Make b the subject
[tex]b = \frac{75}{25}[/tex]
[tex]b = 3[/tex]
So, we have:
[tex]a = 25[/tex] and [tex]b = 3[/tex]
The equation [tex]p = ab^n[/tex] becomes
[tex]p = 25(3)^n[/tex]
Equation representing the number of points 'P' in 'n' games will be [tex]P=25(3)^{n}[/tex].
Explicit formula of the Geometric sequence:a, ar, ar², ar³........arⁿ
There is a common ratio of 'r' in each successive term to the
previous term.
Therefore, it's a geometric sequence.
Explicit formula of a geometric sequence is given by,[tex]T_n=ar^{n-1}[/tex] (For n ≥ 1)
Here, [tex]a=[/tex] First term
[tex]r=[/tex] Common ratio
[tex]n=[/tex] nth term
Given in the table,
Common ratio (r) of any successive term to the previous term,[tex]r=\frac{75}{25}=3[/tex]
First term of the sequence 'a' = 25Explicit formula of the sequence will be,
[tex]P=25(3)^{n}[/tex] [For n ≥ 0]
Therefore, equation representing the number of points 'P' in 'n' games will be [tex]P=25(3)^{n}[/tex].
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Please help i need it fast
Show how you got your answer too please
Answer:
60.1 feet
Step-by-step explanation:
x= length of ladder
48/sin53 = x/sin90
x=48*sin90/sin53
x=60.1
How many solutions does the equations 2m + 4 (m-3) = 7m - 4 have?
Answer:
One solution
Step-by-step explanation:
since the graph formed by them has interesting lines, it will just have one solution
Work out the value of 4 little 5 at top of four
Answer:
1024
Step-by-step explanation:
Assuming you mean [tex]4^{5}[/tex] , then
[tex]4^{5}[/tex] = 4 × 4 × 4 × 4 × 4 ( 4 multiplied by itself 5 times )
= 16 × 16 × 4
= 256 × 4
= 1024
Sarah bought 4 2/3 pounds of peaches and 2 1/6 pounds of apples. How many more pounds of peaches did she buy than apples?
Answer: She bought 1/3 more pounds of peaches then apples
Step-by-step im slow man but im pretty sure im right
The height of Niagara Falls is 56,000 centimeters. How many kilometers high is Niagara Falls?
Answer:
If I'm not wrong it's 0.56 kilometers
In right triangle ABC, it is known that the side adjacent of acute angle A has a length
of 10.3 meters and the hypotenuse has a length of 19.5 meters.
Find the measure of < A, to the nearest degree.
Answer:
58
Step-by-step explanation:
what is the slope of (7,9.5) (2,7)
Answer: m=0.5
Step-by-step explanation:
Let's find the slope between your two points.
(7,9.5);(2,7)
(x1,y1)=(7,9.5)
(x2,y2)=(2,7)
Use the slope formula:
m=Let's find the slope between your two points.
(7,9.5);(2,7)
(x1,y1)=(7,9.5)
(x2,y2)=(2,7)
Use the slope formula:
y2−y1/y2−y1
7−9.5/2-7
2.5/-5 m=0.5
Answer:
[tex]\displaystyle m=0.5[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (7, 9.5)
Point (2, 7)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{7-9.5}{2-7}[/tex][Fraction] Subtract: [tex]\displaystyle m=\frac{-2.5}{-5}[/tex][Fraction] Divide: [tex]\displaystyle m=0.5[/tex]2x^2+7x+3
Factorising
Answer:
(2x+1)(x+3)
Step-by-step explanation:
2x^2+7x+3
(2x+1)(x+3)
Molly bought c candy canes. She paid $1.05, including tax, per candy cane. She gave the cashier $10 and received $1.60 in change. How many candy canes did Molly purchase? Please hurry
Answer:
Number of candy = 8 candy canes.
Step-by-step explanation:
Cost per candy = $1.05
Amount paid = $10
Change received = $1.60
Total cost = amount paid - change received
Substituting into the equation, we have;
Total cost = 10 - 1.6
Total cost = 8.4
To find the number of candy purchased;
Number of candy = total cost/cost per candy
Number of candy = 8.4/1.05
Number of candy = 8 candy canes.
Therefore, Molly purchased 8 candy canes.
what is b called in a triangle? PLEASE HURRY!
Answer:
B Is called legs
Step-by-step explanation:
Answer:
what are the answers ?
Step-by-step explanation:
I cant see the other answers I only see leg
The graph below shows two different deer populations over the same ten year period.
Deer Population
Which of the following answers is the best description for the deer population with the greatest growth rate:
Answer:
its d
Step-by-step explanation:
Answer:
its d
Step-by-step explanation:
just did it!
What kind of Slope goes up and to the right? What kind of Slope goes down to the right? What kind of Slope is flat?
Answer:
A positive slope goes up and to the right
A negative slope goes down and to the right
A slope of zero creates a flat line
Step-by-step explanation:
A positive slope goes up and to the right, because that means the graph is increasing.
A negative slope goes down and to the right, because that means the graph is decreasing.
A slope of zero creates a flat line, such as a horizontal line that never increases in the y value.
Find the missing side in the right triangle x 7 14
Help pls
Answer:
The answer is C) 147 radical thing
Step-by-step explanation:
Trust me and hope this helps!
Please Graph
y > 3x - 6
y < 3x + 2
Answer:
The graph is under a graphing calculator under geogebra.com
Does the graph represent a function?
Plz help will mark brainliest
Write this number in a scientific notation 36,300,000
Answer:
Step-by-step explanation:
Move the decimal place over 7 places to the left which means adding to the exponent.
3.63 x 10^7
What is the result of adding these two equations? -2x+y=0 -7x+3y=2
Answer:
-9x + 4y = 2 is the sum of the equations
HELPPPPP
Question 15(Multiple Choice Worth 4 points)
(05.06 LC)
Given the scatter plot, choose the function that best fits the data.
scatter plot with data points that form an upward curve staring at the origin and continuing to the right
f(x) = 4x
f(x) = −4x
f(x) = 4x2
f(x) = 4x
Answer:
f(x) = 4x²
Step-by-step explanation:
This function curves while the others don't.
Hope it's correct and helps!
The function that best fits the data is [tex]y=4^x[/tex]
What is function?"It defines a relation between input and output values.""In function, for each input there is exactly one output."What is exponential function?"The function of the form [tex]y=ab^x[/tex] where a, b are real numbers and a ≠ 0 "
For given question,
The scatter plot with data points that form an upward curve staring at the origin and continuing to the right.
The graph represents an exponential function.
At (0, 1),
[tex]\Rightarrow 1=ab^0\\\Rightarrow a=1[/tex]
At (1, 4) we have,
[tex]\Rightarrow 4 = ab^1\\\Rightarrow 4=(1)b\\\Rightarrow b=4[/tex]
So, we have exponential function of the form [tex]y=4^x[/tex]
Hence, the function that best fits the data is [tex]y=4^x[/tex]
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can someone help me please
Answer:
its c
Step-by-step explanation:
when you multiply you get the example shown
solve the inequality, SHOW WORK, please help I'll give brainliest
1. x≤5 Work: 2x+9≤19 move the constant to the right then its 2x≤19-9, then subtract the numbers and it would be 2x≤10, then divide both sides of the inequality by 2 which gives you the final answer of x≤5
2. x≥19 Work: x-7≥12 move the constant to the right then its x≥12+7, then add the numbers and get your final answer of x≥19
3. x≤4 Work: Divide both sides of the inequality by -3 and flip the inequality sign and that gives you -3÷(-3)≤-12÷(-3) and divide that which gives you x≤4
4. x<-3 Work: move the constant to the right which gives you -5x>16-1, then subtract to get -5x>15 and divide both sides of the inequality by -5 and flip the inequality sign to get x<-3
Note: This Took Forever LOL
i need help
I'm doin
Answer:
graph A
Hope that helps!
Answer: Graph a
Step-by-step explanation: The points in graph A match the table provided. The points (-2,2), (-1,3), and (0,4) are all on the line in graph A. If the line continued it would pass through (1,5).
Which of the following numbers are factors of 16 and 20?
Answer:
The set of factors of 20 is {1, 2, 4, 5, 10, 20} and the set of factors of 16 is {1, 2, 4, 8, 16}. {1, 2, 4, 5, 10, 20} ∩ {1, 2, 4, 8, 16} = {1, 2, 4} which has greatest value 4. So, GCF(20, 16) = 4.
Step-by-step explanation:
Answer:
The factors of 20 is 1, 2, 4, 5, 10, 20
The factors of 16 is 1, 2, 4, 8, 16
Step-by-step explanation:
(08.05 MC)
The quadratic functions f(x) and g(x) are described as follows:
f(x) = -8x? +7
g(x)
0
0
1
2
2
6
3
2
4
0
Which of the following statements best compares the maximum value of the two functions?
The maximum value is the same for both functions.
Of(x) has a greater maximum value than g(x).
O g(x) has a greater maximum value than f(x).
The maximum values cannot be determined.
Answer:
x=67
Step-by-step explanation:
The correct statement is,
(B) f(x) has a greater maximum value than g(x).
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
Function f (x) is,
f (x) = - 8x² + 7
Now, First, we determine the maximum point of f(x).
f(x) is at maximum at the point of symmetry, i.e. where x = - b/a
Here, a = -8, b = 0
Hence, x = - 0 / - 8 = 0
So, We get;
f (0) = - 8 x 0 + 7 = 7
Thus,
The maximum point of f(x) is (0,7)
And, The maximum point of g(x) is (2,6)
Therefore, f(x) has a greater maximum value than g(x).
Hence3, The correct option is B.
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help me please i don’t understand
Answer:
please go through the steps
Fine the equation of the line.
Answer:
what is the line.............
Enter the range of values for x:
А
52° 31°
B
12
D
2x - 6
3
Answer:
it's 9 I just took this assignment
The range of the values of x is 3 < x < 9
What is a Triangle ?A triangle is a polygon with three sides , angles and vertices.
The data is given in the question
The sides of the two triangles are same except , BD and DC.
It is known that the side opposite to the bigger angle is always bigger
therefore BD > DC
12 > 2x- 6
18 > 2x
9 > x
x < 9
and the value of a side is always greater than 0
therefore
2x-6 > 0
2x > 6
x >3
Therefore the range of the values of x is 3 < x < 9
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Simplify the expression using the distributive property:
-4 (5x – 10)
To use the distributive property, we will multiply each term inside the parenthesis by the term outside of the parenthesis.
-4 * 5x + -10 * -4
-20x + 40
Hope this helps!! :)
Answer:
the result using the distributibe is: -20x +40
b has 2 apples and c has 2/3 apples how many apples dose c have
Answer:
how am i supposed to know
Step-by-step explanation:
Answer:
as many as he wants?
Step-by-step explanation:
What are we looking for in the question?
You rent an apartment that costs \$1700per month during the first year, but the rent is set to go up \$110per year. What would be the monthly rent during the 11th year of living in the apartment? can you show the work
Answer:
$2690 hopefully you get that [the picture]