The type of rule that can be used to find any number of terms in sequence without knowing the previous term is called the Explicit rule formula.
What is the Explicit rule formula?The formula that determines the sequence's nth term is the explicit rule of an arithmetic sequence.
Using explicit formulae, one can compute any term in a series without first determining the value of the terms that came before it.
Therefore, we can conclude that the type of rule that can be used to find any number of terms in sequence without knowing the previous term is called the Explicit rule formula.
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Which of the following rational functions is graphed below
Answer:
A.
Step-by-step explanation:
if x≠-4, then the correct answer is
[tex]A. \ F(x)=\frac{1}{x+4}.[/tex]
The ratio of black bags to blue bags is 5to 3 if there are a total of 10 black bags ,then how many blue bags are there
Answer:
6
Step-by-step explanation:
We can think of the 10 black bags as 2 sets of 5-black bags (10 divided into groups of 5; 10 / 5 ; is 2 groups/sets). So, we would also have two sets of 3 (3 x 2 = 6), or 6 bags.
5 : 3 = 10 : 6
(multiply both numbers by 2)
The diagram shows a circle inside a square (16cm)
work out the area of the circle
The area of the circle inside the square shape is 200.96 cm²
How to determine the area of the circle?The length of the square is given as:
L = 16 cm
This represents the diamater (d) of the circle.
The area of the circle is then calculated as:
Area = π(d/2)²
This gives
Area = 3.14 * (16/2)²
Evaluate
Area = 200.96
Hence, the area of the circle is 200.96 cm²
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Esther gave the storekeeper a twenty dollar bill for a purchase of $14.51. How
much change should she have received?
Answer:
She would have received $5.49 change
Answer:
$5.49 ~$5.50
Explanation: $20 - $15.51 = $5.49 therefore you have to round off which would initially equal to $5.50
The height in feet of 25 trees is shown below (lowest to highest). 25, 27, 33, 34, 34, 34, 35, 37, 37, 38, 39, 39, 39, 40, 41, 45, 46, 47, 49, 50, 50, 53, 53, 54, 54
outlier if any
There are no outliers in the dataset of the heights in feet of 25 trees
How to determine the presence of outliers?The sorted dataset is given as:
25, 27, 33, 34, 34, 34, 35, 37, 37, 38, 39, 39, 39, 40, 41, 45, 46, 47, 49, 50, 50, 53, 53, 54, 54
Outliers are relatively far from other elements of the dataset.
The highest and the least elements are 54 and 25, respectively.
Other elements of the dataset are relatively close to these two elements
Hence, there are no outliers in the dataset of the heights in feet of 25 trees
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2 ³✓3 × 3✓2 please answer this fast
[tex]2\sqrt[3]{3} \cdot 3\sqrt 2\\\\=6 \cdot \sqrt[3]{3} \cdot \sqrt 2\\\\=6\cdot 3^{\tfrac 13} \cdot 2^{\tfrac 12}\\\\\approx 12.24[/tex]
Is this sequence arithmetic? Why or why not?
11, 11, 11, 11, 11
I need to find values of product and quotient functions
The answers are 8 and 2
What is a function?A function is an equation that establishes a relationship between two or more variables.
Analysis:
r(x) x s(x) = 2[tex]\sqrt{x}[/tex] x [tex]\sqrt{x}[/tex] = 2x
r2(4) = 2 x 4 = 8
r(x)/s(x) = 2[tex]\sqrt{x}[/tex]/ [tex]\sqrt{x}[/tex] = 2
In conclusion, the values of the product and quotient of the functions are 8 and 2 respectively.
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three students measured the width of the whiteboard. Reggie got 2, Jackson got 72, and Pete got 6. The teacher said they were all correct. Draw lines to match each student with the unit he was using.
Answer:
2 yards ; 6 feet ; 72 inches ;
Step-by-step explanation:
2:6:72
1:3:12
1:3 is the ratio of Yards -> Feet
3:12 is the ratio of Feet -> Inch.
6ft = Pete
2 yards = Reggie
72 inches = Jackson
-- Gage Millar, Algebra 1/2 Tutor (Pending Pre-Calc Tutor)
Silas is researching the cost of a specific souvenir he wants to buy on his international trip. Use the table to answer the question.
Answer:
Egypt.
Step-by-step explanation:
We need to set up our conversion factors for each currency.
British Pounds and Egyptian Pounds:
0.83 £ (Europe) = 1 U.S. Dollar
18 E£ (Egypt) = 1 U.S. Dollar
Cost of a Souvenir in Europe:
The cost of souvenir in Europe is 13£. Using our conversion rate, we get
[tex]13\pounds \cdot \frac{\$1}{0.83 \pounds}=\$15.66[/tex]
Cost of a Souvenir in Egypt:
The cost of a souvenir in Egypt is 342 E£. So we have
[tex]342 \text{ E}\pounds\cdot \frac{\$1}{18 \text{ E}\pounds}=\$19[/tex]
Based on our calculations, it is cheaper to buy a souvenir in Europe than in Egypt.
A ball is thrown into the air with an initial velocity of 80 ft/sec. The height of the ball after t seconds in the air is given by h(t) = -16t? + 80t + 96. When will the ball be at its
highest point? Show all work.
Check the picture below.
[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ h(t)=\stackrel{\stackrel{a}{\downarrow }}{-16}t^2\stackrel{\stackrel{b}{\downarrow }}{+80}t\stackrel{\stackrel{c}{\downarrow }}{+96} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)[/tex]
[tex]\left(-\cfrac{ 80}{2(-16)}~~~~ ,~~~~ 96-\cfrac{ (80)^2}{4(-16)}\right) \implies \left( - \cfrac{ 80 }{ -32 }~~,~~96 - \cfrac{ 6400 }{ -64 } \right) \\\\\\ \left(\cfrac{5}{2}~~,~~96+100 \right)\implies \stackrel{highest~point}{\stackrel{\qquad ~~ \downarrow }{\left(2\frac{1}{2}~~,~~196 \right)}}[/tex]
which graph represents the linear function y=-5x+2
Given a polynomial function f(x) = –x2 + 2x + 1 and an exponential function g(x) = 2x, what key features do f(x) and g(x) have in common?
A.)Both f(x) and g(x) decrease over the interval of [1 , ∞).
B.) Both f(x) and g(x) have the same range of (–∞, 2).
C.) Both f(x) and g(x) have the same x-intercept of (–1, 0).
D.)Both f(x) and g(x) have the same y-intercept of (0, 1).
The only key feature that these functions have in common is that they have the same y-intercept. So the correct option is D.
What do these functions have in common?
Here we have the functions:
[tex]f(x) = -x^2 + 2x + 1\\\\g(x) = 2^x[/tex]
f(x) is quadratic, and g(x) is exponential.
Notice that the exponential function has a positive base, so it is increasing. For the quadratic equation we can see a negative leading coefficient, so it opens downwards. So first and second options are false.
Also, g(x) never intersects the x-axis, so third option is false.
Finally, the y-intercepts of the given functions are:
[tex]f(0) = -0^2 + 2*0 + 1 = 1\\\\g(0) = 2^0 = 1[/tex]
So the y-intercepts are equal, meaning that the correct option is D.
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Answer:
Both f(x) and g(x) have the same y-intercept of (0, 1).
Step-by-step explanation:
I got it right on the test.
Which equation can be used to solve for x in the following diagram.
Answer:
C. (3x+12) + x = 180
Step-by-step explanation:
the 2 angles create a straight line which is 180 degrees, so (3x+12) + x = 180
Give the standard form 80,000+200+2
Answer:
80,202 = 8.0202 × 10⁴
⚠️WILL GIVE BRAINLIEST⚠️Which equation represents circle N?
A.
(x + 7)2 + (y − 6)2 = 25
B.
(x − 7)2 + (y + 6)2 = 25
C.
(x + 7)2 + (y − 6)2 = 50
D.
(x − 7)2 + (y + 6)2 = 50
Answer:
your answer is option C
Step-by-step explanation:
hope you can understand
Answer:
The answer is indeed C, (x + 7)2 + (y − 6)2 = 50
Step-by-step explanation:
Got it right on edmentum/plato, the other guy is correct. Give him brainliest!
two dozen of pen cost rupee 60.find the cost of 25 such pens.
Answer:
it costs rupee 3000 of 50 such pens
Explanation:
first, you have to multiply 50 x 60 which is 3000
second, two dozens of pens, right? so i add double 25 up which is 50 pens.
hope it helps and stay safe! (brainliest me pls)
Write an equation for a line perpendicular to y = − 4 x + 5 and passing through the point (-12,-4)
Answer:
[tex]y=\frac{1}{4} x-1.[/tex]
Step-by-step explanation:
1) if the lines are perpendicular, then the second slop is 0.25;
2) the equation of the 2d line is y=0.25x+i, where i - unknown intercept;
3) it is possible to calculate the unknown intercept, if to substitute the given coordinates into the equation y=0.25x+i:
-4=-12*0.25+i; ⇔ i=-1.
4) finally, the required equation is:
[tex]y=\frac{1}{4} x-1.[/tex]
Find the distance between the points (5,0) and (-5,3)
Answer:
10.4
Step-by-step explanation:
√(5--5)²+(0-3)²
√100+9
√109=10.4
Thandi has decided to make grocery combo’s for her shop. The wholesaler where she buys from, sells sugar in packets of 20 in a carton, flour in packets of 12 a carton, and there are 15 bags of rice in a carton. How many of each item should she buy so there are an equal number of packets of sugar, packets of flour and bags of rice in each combo?
Answer:
3 cartons of sugar 5 cartons of flour and 4 cartons of rice
Step-by-step explanation:
First find the least common factor being 60 then divide by the number of packets each carton comes with to find how many cartons you need of each
f(x)=x^5+(x+3)^2 which value completed the table
Answer:
three boys shared D 10,500.00 in the ratio 6:7:8.find the largest share.
Find the number of students that play
A basketball and football but not volleyball
B basketball only
C none
#15 play
basketball and volleybal
Answer:
#16 play basketball and football
Now explore a few more-difficult problems.
Which of the following statements are true for all the
problems?
The first step is always to divide.
○ The last step is always to subtract.
The decimal always moves one place to the right.
The next to last step is always to multiply.
The statement that is true for all the problems is " The last step is always to subtract.". Option B. This is further explained below.
What is Arithmetic?Generally, Arithmetic is simply defined as the area of mathematics concerned with the study and manipulation of numbers and their properties.
In conclusion, "The final step is always to subtract." is the universally true solution to the difficulties.
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Answer: B & D
Step-by-step explanation: I did this assignment.
For the arithmetic sequence beginning with the terms (11, 17, 23, 29, 35), what is the sum of
the first 17 terms?
a.) 1116
b.) 1003
c.) 1235
d.) 896
Option B is the correct answer.
The sum of 17 terms of the given arithmetic sequence is 1003.
What is Arithmetic Sequence?An arithmetic sequence is a sequence where each term increases by adding/subtracting some constant k.
Here, given sequence :
11, 17, 23, 29, 35, ......
first term a = 11
common difference d = 17 - 11 = 6
n = 17
Sₙ = n/2 {2a + (n-1)d}
S₁₇ = 17/2 { 2 X 11 + (17-1)X6}
S₁₇ = 17/2 { 22 + 16 X 6}
S₁₇ = 17/2 X 118
S₁₇ = 17 X 59
S₁₇ = 1003
Thus, the sum of 17 terms of the given arithmetic sequence is 1003.
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Please solve with explanation (high points)
Answer:
see the attachment photo!
What is the volume of this rectangular
pyramid?
3 m
4 m
Submit
5 m
cubic meters
The volume of the given rectangular pyramid.
Solution:[tex]\large\boxed{Formula:V=\frac{1}{3}lbh}[/tex]
First, multiply the length (5), breadth (4) and height (3).
[tex]5×4×3[/tex]
[tex]= 60 \: cm [/tex]
Now, divide 60 by 3.
[tex]\frac{60}{3}[/tex]
[tex]\large\boxed{V= 20 \: {m}^{3}}[/tex]
Therefore, the volume of the given rectangular pyramid is 20 cubic meters.
translate the question into an equation. Do not solve. Let n be the unknown number. what is 1% of 77?
Answer:
1% × 77 = n
I used multiplication since "of" counts as multiplication.
Solve 10x + 16 2 6x + 20.
A. x29
B. x=9
c. x=1
D. x21
An equation is formed of two equal expressions. The value of x for which the equation has a solution is 1.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The solution for 10x+16=6x+20 is,
10x + 16 = 6x + 20
10x - 6x = 20 - 16
4x = 4
x = 1
Hence, the value of x for which the equation has a solution is 1.
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In the number 9,206.457138, what is the value of 1?
Answer:
0.0001 or 1/10000 or 1 ten thousandths
Step-by-step explanation:
The 1 is 4 places after the decimal point so has a value of :
0.0001 or 1/10000 or 1 ten thousandths
Hope this helped and have a good day
hope you do well in math and thx for the help
[tex]|\Omega|=12^2=144\\|A|=4^2+3^2+5^2=16+9+25=50\\\\P(A)=\dfrac{50}{144}=\dfrac{25}{72}\approx35\%[/tex]