Answer:
[tex]\large\begin{cases}a_1=5 \\a_n=a_{(n-1)}-4\end{cases}[/tex]
Step-by-step explanation:
Recursive formula allows us to find the value of a specific term based on the previous term.
Explicit formula allows us to find the value of a specific term based on its position.
Given explicit formula: [tex]a(n)=5+(n-1)(-4)[/tex]
[tex]\implies a(1)=5+(1-1)(-4)=5[/tex]
[tex]\implies a(2)=5+(2-1)(-4)=1[/tex]
[tex]\implies a(3)=5+(3-1)(-4)=-3[/tex]
[tex]\implies a(4)=5+(4-1)(-4)=-7[/tex]
From inspection of the sequence, we can see that to get the next term, we need to subtract 4 from the previous term.
[tex]5 \underset{-4}{\longrightarrow} 1 \underset{-4}{\longrightarrow} -3 \underset{-4}{\longrightarrow} -7[/tex]
Therefore, the recursive formula is:
[tex]a_n=a_{(n-1)}-4[/tex]
For a recursive formula, we also need to give the value for [tex]a_1[/tex] .
Therefore, the final recursive formula for the explicit formula is:
[tex]\large\begin{cases}a_1=5 \\a_n=a_{(n-1)}-4\end{cases}[/tex]
A store buys 6 sweaters for $30 and sells them for $132. How much profit does the store make per sweater?
lets write the possible subset of the following sets and list the proper subset separately
An improper subset of set T contains all the elements of set T and a null element. The improper subset of set T is {2,3}
What is a subset?In mathematics, set A is a subset of a set B if all elements of A are also elements of B; B is then a superset of A. It is possible for A and B to be identical;
A) Integers are whole numbers (without fractions) that are either positive or negative. If T={x:X is an integer between 1 and 4}, therefore the elements in set T = {2, 3}
B) Since the elements in set T = {2, 3}, then the number of elements in set T = 2
C) The subsets of set T are {}, {2}, {3} and {2,3}
D) Proper subset of set T are subsets of T that is not equal to T. The proper subsets of T are {2} and {3}
An improper subset of set T contains all the elements of set T and a null element. The improper subset of set T is {2,3}
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solve this using pythagorean theorem please and give me the right answer and i will give YOU brainliest and a like in return.
Answer:
[tex]They\ are\ 8.544\ feet\ apart[/tex]
Step-by-step explanation:
Step 1: Determine the important information
Math teacher 8 feet in front
Science teacher 3 feet to the right
Step 2: Determine how far apart the teachers are
Pythagorean theorem → [tex]a^2 + b^2 = c^2[/tex]
[tex](8)^2+(3)^2=c^2[/tex]
[tex]64 + 9 = c^2[/tex]
[tex]73 = c^2[/tex]
[tex]\sqrt{73} = \sqrt{c^2}[/tex]
[tex]8.544=c[/tex]
Answer: [tex]They\ are\ 8.544\ feet\ apart[/tex]
please please help I have 20 minutes
Answer:
Step-by-step explanation:
left to right
63 33 28 88 55 120 24 24 2 90
48 28 40 50 72 30 60 99 12 20
18 16 81 9 42 32 62 40 22 66
18 8 60 6 49 108 110 27 121 80
36 35 20 24 44 36 54 96 132 12
56 144 77 30 72 36 70 16 15 14
45 21 25 84 10 100 40 12 120 54
64 30 27 60 24 36 121 10 18 18
3. Cups are sold in packages of 8. Napkins are sold in packages of 12.
a. What is the fewest number of packages of cups and the fewest numb
packages of napkins that can be purchased so there will be the same
cups as napkins?
b. How many sets of cups and napkins will there be?
Answer:
A. The fewest number of packages of cups and napkins that can be purchased so that they will be the same is 3 packages of cups and 2 packages of napkins.
B. I'm not sure what this part is asking, I hope someone else comes in and helps.
Step-by-step explanation:
Part A Explanation:
3 packages of cups gives you 24 cups total
2 packages of napkins gives you 24 napkins total
A story or an account of a personal experience that illustrates the central idea of a text is a(n) ______. A;anecdote B;statistic C;satire
Graph the equation using the table below: y=-2x-3
Make dots at the given x and y values and draw a line through them.
see attached image
Determine if the sequence is arithmetic. If it is, find the common difference.
1) 35, 32, 29, 26, ...
2) -3, -23, -43, -63, ...
Answer:
1) yes--common difference is 3.
Which of these equations have no solution? check all that apply. 2(x 2) 2 = 2(x 3) 1 2x 3(x 5) = 5(x – 3) 4(x 3) = x 12 4 – (2x 5) = (–4x – 2) 5(x 4) – x = 4(x 5) – 1
Since we cannot determine the unknown variable, hence the equation 5(x + 4) - x = 4(x+5) - 1 has no solution
Equations with no solutionsEquations with no solutions has two of its sides to be equal.
From the given option, we can check he equation
5(x + 4) - x = 4(x+5) - 1
Expand
5x + 20 - x = 4x + 20 -1
4x +20 = 4x + 19
4x - 4x = -1
Since we cannot determine the unknown variable, hence the equation 5(x + 4) - x = 4(x+5) - 1 has no solution
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It takes Imani seven hours to dig a 10 ft by 10 ft hole. Stefan can dig the same hole in five hours. If they worked together how long would it take them
Answer:
2 hours and 44 min. or 2.7273 hours
Step-by-step explanation:
Ryan: 1 hole per 5 hours
Castel: 1 hole per 6 hours
x = time if working together then
x(1/5 + 1/6) = 1
x(6 + 5) = 30
11x = 30
x = 30/11
x = 2.7273 hours
or
x = 2 hours and 44 minutes
Is c = 11 a solution to this equation? 3 c = 17
Answer:
a=17/33
Step-by-step explanation:
c=11a ----(1)
3c=17 ---- (2)
Substitute equation (1) into equation (2)
3(11a)=17
33a=17
Divide both side by 33
a=17/33
help pls pls my math needs to be good grade pls pls no summer school pls pls
Which inequalities are true when x equals -8 ?
Answer:
I think it's just water bro
Answer:
B & C
Step-by-step explanation:
23 lbs of onions cost $46. How many lbs of onions can you get with $30 ?
Answer:
15 lbs of onions.
Step-by-step explanation:
23 lbs divided by $46 = 0.5 lbs per $1
0.5 lbs times $30
15 lbs
Find the length of the arc AB in the circle with radius 3 meters shown below. (Round your answer to the nearest tenth.) 60 3 meters چارے
Considering the circumference of the circle, it is found that the length of arc AB is of 3.1 meters.
What is the circumference of a circle?
The circumference of a circle of radius r is given by:
[tex]C = 2\pi r[/tex].
This measure is equivalent to the length of an arc of 360º.
In this problem, we have that the radius is of r = 3m, hence the circumference is given by:
C = 6 pi m.
Arc AB has an angle of 60º, hence it's length is 1/6 of the circumference, which will then be of pi m = 3.1 meters.
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I'LL GIVE BRANLY!!!!!
How many 3-coin combinations exist if we can choose from nickels, dimes, quarters, and half-dollars?
20
4!
4
12
Answer:
12
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
If the order matters, we can use the product rule to show each of the [tex]20[/tex] coins can be chosen in [tex]5[/tex] ways, for a total of [tex]5^{20[/tex] ways, assuming you have enough of each type of coins.
If the order does not matter (which in the case it probably does not) you have to use an r-combination. The formula is[tex]C(n+r-1,r)[/tex]. Here [tex]n=5[/tex] and [tex]r=20[/tex]. So we get [tex]C(24,20)[/tex].
I always have trouble with this
Answer:
[tex]\sqrt{64} < \sqrt{72} < \sqrt{81}[/tex]
Step-by-step explanation:
The closest perfect squares to 72 would be 81 and 64. Therefore, the square root of 72 must be between 8 and 9.
Which is the graph of f(x) = x^2- 2x + 3?
Answer:
you didn't give a picture bestie but it'll be kind of money U and it should be up 3 on the graph
plot the points : A(4,5), B(3,3), C(6,9), D(8,13), E(10,15) all but one of the points are on the same line which is not?
i cant solve my sisters hw so helpppp
Answer:
E
Step-by-step explanation:
The ordered pair numbers seemed to big so I guessed and I was right.
What would happen if Bees were to disappear (impacts) this is horticulture btw
Answer:If bees disappeared completely, the biodiversity of our planet would be greatly affected, depriving us of various plant species we eat and leading to the disappearance of thousands of species of plants, flowers and fruit trees, as well as honey.
Step-by-step explanation:
Which expression shows the factors of 9x2 3x − 2? a. (3x − 1)(3x − 2) b. (3x 1)(3x − 2) c. (3x 2)(3x − 1) d. (9x − 2)(x 1)
The complete factor of the expression 9x² + 3x - 2 is (3x - 1)(3x + 2)
How to determine the complete factorization?The expression is given as:
9x² + 3x - 2
Expand the equation
9x² + 3x - 2 = 9x² + 6x - 3x - 2
Factorize the expression
9x² + 3x - 2 = 3x(3x + 2) - 1(3x + 2)
Factor out 3x + 2
9x² + 3x - 2 = (3x - 1)(3x + 2)
Hence, the complete factor of the expression 9x² + 3x - 2 is (3x - 1)(3x + 2)
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Answer:
Factor by grouping.
(3x−1)(3x+2)
Step-by-step explanation:
Evaluate
-
b
2a
when a = 4 and b = -3.
Answer:
=24
Step-by-step explanation:
Correct Q:
-b•2a
Ans:
Put the values.=+3*2•4
=24
I need help again...this is due at 7:30
SOMEBODY PLEASE HELP ME
Answer:
Step-by-step explanation:
please help!!!! the other boxes under 4 and 15/2 are 10 and 5
Answer:
see explanation
Step-by-step explanation:
given that x and y are proportional relationships , then
y = kx ← k is the constant of proportionality
divide both sides by x
[tex]\frac{y}{x}[/tex] = k
using corresponding values of x and y from each table to find k
first table
k = [tex]\frac{10}{1}[/tex] = 10
second table
k = [tex]\frac{20}{4}[/tex] = 5
third table
k = [tex]\frac{15}{2}[/tex]
fourth table
k = [tex]\frac{4}{1}[/tex] = 4
Select the diagram showing a pair of alternate interior angles:
The orange one is an example of alternate interior angles.
Find the area of this circle. Use 3 for π.
A = πr2
[?] ft2
Answer: 27
PI × R² Is the formula as you posted.
And if you're asking for it as it's square root than it's 5.2
Answer:
27
Step-by-step explanation:
A = πr²
A = 3 × (3 ft)²
A = 3 × 9 ft²
A = 27 ft²
Answer: 27
Which label on the cone below represents the diameter? a cone, a is the radius, b is the height, c is the center of the base, and d is the vertex. a b c d
The label on the cone that represents the diameter of the cone is the letter C
How to determine the correct label?From the figure in the complete question, the line C divides the base circle into two equal segments
The above is the same as the definition of the diameter
Hence, the label that represents the diameter of the cone is the letter C
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Answer:
C is the correct Answer
Step-by-step explanation:
his table gives the dimensions for a scale drawing of a house. Every 2 inches on the scale drawing represents 1.5 feet of the original house. Use proportional reasoning to complete the table with the original lengths. A 2-column table with 4 rows. Column 1 is labeled Scale model (inches) with entries 2, 8, 12, 16. Column 2 is labeled Original length (feet) with entries 1.5, a, b, 12. a = b =
The value of the a and b will be 6 and 9 feet. Every 2 inches on the scale drawing represents 1.5 feet of the original house.
What is unit conversion?The process of converting the unit form is known as the unit conversion. For example, in the SI unit system, mass is in kg. While in CGS, it is represented in grams.
The given conversion is ;
[tex]\rm 2 \ inch = 1.5 \ feet \\\\ 1 inch = \frac{1.5}{2} \ feet[/tex]
For 8, 12 inches, the values in feet is;
[tex]\rm 8 \times \frac{1.5}{2} = 6 \ feet[/tex]
[tex]\rm 12 \times \frac{1.5}{2} = 9 \ feet[/tex]
Hence, the value of the a and b will be 6 and 9 feet.
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The value a= 6 and b=9.
What is unit conversion?
The process of converting the unit form is known as the unit conversion.
For example, in the SI unit system, distance is in meter while in CGS, it is represented in cm.
Given that:
2 inch = 1.5 feet
1 inch = [tex]\frac{1.5}{2}[/tex]
then, 8 inches =[tex]\frac{1.5}{2} *8[/tex]
= 1.5*4
= 6 feet
again, 12 inches= [tex]\frac{1.5}{2} *12[/tex]
= 1.5*6
= 9 feet
and, 16 inches =[tex]\frac{1.5}{2} *16[/tex]
= 1.5*8
= 12 feet
The value of a & b is 6 and 9 respectively.
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- In the diagram to the right, ma = 65°, and mzd = 123°. What is the measure of zb? a. 8 b. 115 C. 23 d. 57
The measure of the third angle in a triangle will be 112°.
How to calculate the triangle?Your information is incomplete. Therefore, an overview will be given.
Let's assume the the angles given in a triangle are 23° and 59°. The third angle will be:
= 180° - (23° + 59°)
= 180° - 82°
= 112°
It should be noted that a triangle has three angles.
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please help me solve this
Answer:
i actually don't know
Step-by-step explanation:
