[tex]f(x) = \frac{ {2}^{x} }{x} [/tex]
Consider each terms for both numerator and denominator.Numerator
[tex]y = {2}^{x} [/tex]
The function family is exponential when separating the denominator out of numerator.
Exponential family have the equation of
[tex]y = {a}^{x} [/tex]
Denominator
[tex]y = x[/tex]
The function family is linear when separating the numerator. The equation for linear family is only
[tex]y = mx + b[/tex]
We combine both exponential and linear by dividing the exponential with linear.
AnswerWe divide the exponential function by a linear function.I'm stumped on how to do this, it's worth 10 points and I'll give you Brainliest if you answer right
Maria creates a sequence of integers where the first and second terms are both 1. At each step she adds the last two terms she has obtained. If the sum is less than 9, then she enters that sum as her new term. Otherwise she subtracts 8 from the sum and records that. Her sequence therefore starts 1, 1, 2, 3, 5, 8, 5, 5, . . . Find the 2020th term in the sequence.
Answer:
The 2020th term is 3
Step-by-step explanation:
Recursive Sequence
We are given a recursive and conditional sequence where each term depends on two previous terms and a rule.
Each term is the sum of the two previous terms. But if that sum exceeds 8, then 8 is subtracted.
The first terms are, therefore:
1, 1, 2, 3, 5, 8, 5, 5, 2, 7, 1, 8, 1, 1, 2, 3, 5, 8, 5, 5, 2, 7, 1, 8, ....
Note the sequence repeats itself at term 13, that is:
a13=a1, a14=a2, a15=a3 and so on.
To find any given term, it's just a matter of calculating the remainder of that number of the term divided by 12.
For example, the term number 100 is calculated by dividing 100/12=8 (only the integer part).
Since 8*12=96, the remainder is 100-96=4
Thus, a100=a4=3
The term 2020 is calculated now:
2020/12 = 168 (integer only)
168*12=2016
The remainder is 2020-2016=4, thus
a2020 = a4 = 3
The 2020th term is 3
The perimeter of a rectangle is 560 feet. Let X represent the width of the rectangle. Write a quadratic function for the area A of the rectangle in terms of its width.
Answer:
hi deez
Step-by-step explanation:
Which statement about stratified random sampling is true? A stratified random sample is a combination of simple random samples selected from each of several strata. A stratified random sample is formed by selecting one stratum from a simple random sample of the population. A selection of every 3rd person from an alphabetical list of a population forms a stratified random sample. A stratified random sample consists of choosing several strata, and each stratum is representative of the entire population.
Answer:
A. A stratified random sample is a combination of simple random samples selected from each of several strata.
Step-by-step explanation:
In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.
There are various types of sampling used by researchers and these are;
1. Random sampling.
2. Convenience sampling.
3. Systematic sampling.
4. Cluster sampling.
5. Stratified sampling.
Stratified random sampling can be defined as a method of sampling that involves dividing a population into smaller groups known as strata.
In stratified random sampling, the strata are formed based on member's shared characteristics (e.g female or male, occupation, education) or attribute (e.g black or white).
Hence, the statement about stratified random sampling which is true is that, a stratified random sample is a combination of simple random samples selected from each of several strata.
Answer:
A
Step-by-step explanation:
Choose the expression that is equivalent to the expression shown below.
n4+n4+n4+n4
n
14n
4n
0
Answer: 16n
Step-by-step explanation:
4 + 4 + 4 + 4 = 16
=16n
It takes 6 workers from the Fast Movers Company 10 hours to unload 6 trucks. It takes 10 workers from the Careful Movers Company 8 hours to load 2 trucks. How long would it take 4 workers from the Fast Movers Company and 8 workers from the Careful Movers Company to unload 8 trucks?
Answer:
The time it would take 4 workers from the Fast Movers Company and 8 workers from the Careful Movers company to unload 8 trucks is 13 hours and 20 minutes
Step-by-step explanation:
The time it takes 6 workers from the Fast Movers Company to unload 6 trucks = 10 hours
The time it takes 10 workers from the Careful Movers Company to load 2 trucks = 8 hours
Therefore, when 1 worker of the Fast Movers Company is unload 1 truck each of the 6 trucks it takes 10 hours
Which gives the time for 1 worker of the Fast Movers Company is unload 1 truck = 10 hours, which gives;
10 worker hours per truck or 10 worker·h/(truck)
Similarly we have;
The time it takes 10 workers of the Careful Movers Company to load 2/2 = 1 truck = 8/2 = 4 hours
Therefore, the time it would take 1 worker of the Careful Movers Company to load 1 truck = 10 × 4 hours = 40 hours, which gives;
40 worker·h/(truck)
Let "t" represent the time it would take 4 workers from the Fast Movers Company and 8 workers from the Careful Movers Company to unload 8 trucks
We have;
[tex]\dfrac{4 \ workers \times t }{\left (\dfrac{10 \ worker \cdot hour}{truck} \right ) } + \dfrac{8 \ workers \times t }{\left (\dfrac{40 \ worker \cdot hour}{truck} \right ) } = 8 \ trucks[/tex]
Which can be simplified as follows;
[tex]\dfrac{4 \ trucks \times t }{10 \cdot hour} + \dfrac{8 \ trucks \times t }{40 \cdot hour} = t \times \left ( \dfrac{4 \ trucks }{10 \cdot hour} + \dfrac{8 \ trucks }{40 \cdot hour} \right ) = 8 \ trucks[/tex]
[tex]t = \dfrac{8 \ trucks}{\left ( \dfrac{4 \ trucks }{10 \cdot hour} + \dfrac{8 \ trucks }{40 \cdot hour} \right ) } = \dfrac{8 \ trucks}{\left ( \dfrac{3 \ trucks }{5 \ hour} \right ) } = \dfrac{5 \ hour\times 8 \ trucks}{3 \ trucks } \right ) } = \dfrac{40}{3} \ hours[/tex]
t = 40/3 hours = 13 hours and 20 minutes
The time it would take 4 workers from the Fast Movers Company and 8 workers from the Careful Movers company to unload 8 trucks = 13 hours and 20 minutes
I need this answered!
Simplify the following expression:
5s + 72 - 6
use s = -8 and z = -3
I Record your answer in this box:
Answer:
I believe its -82
Step-by-step explanation:
5 × -8 + 7 × -3 = -82
Manuel opened a savings account with an initial balance. Each week he adds $20 to the account. After 6 weeks he has $170 in the account.
Find and interpret the rate of change and the initial value.
HELPPP NEED THIS IN 10 MINSSSS!!!
Answer:
120 square units.
Step-by-step explanation:
Area= Base x Height.
So given that, in this equation...
Area=12x10.
12x10=120.
10,20,30,40,50,60,70,80,90,100,110,120
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
12,24,36,48,60,72,84,96100,120.
In a certain Algebra 2 class of 29 students, 17 of them play basketball and 6 of them play baseball. There are 8 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Answer:
50
Step-by-step explanation:
Select all that are equal to 5^3• 5^-7
Answer: its b and c
Step-by-step explanation:
A blueprint is a scale drawing of a building. The dimensions of the blueprint for Patricia doll house are 1/2 of the measurements of the actual doll house. The floor of the doll house has an area of 1,176 square inches. If the width of the doll house is 2/3 the length, what are the dimensions of the floor on the blueprint of the doll house? ___ inches by ___ inches
Answer:
no entiendo
Step-by-step explanation:
write 6.04x10^3 as an ordinary number
Answer:
6040
Step-by-step explanation:
You can find out in two different ways, either use scientific notation or a calculator. If you go 3 steps to the right (since it's a positive power) you will get 6040. Hope this helped. :)
Answer:
hmmmmmmmmmmmmmmmmmmmmm
Step-by-step explanation:
hmmmmmmmmmmmmmmmmmmmmm
Help! I don’t know if I’m right
Answer:
B
Step-by-step explanation:
when dividing powers, you just subtract them so in this case subtract 6-4 which will be 2. so your answer is 11².
write the equation of the line that is parallel to the line 2x + 5y= 15 and passes through the point (-10, 1)
Answer:
y = (2/5)x -1
Step-by-step explanation:
Answer:y is (2/5) x minus 1
Step-by-step explanation:
PLEASEE HELP ASAP IM BEGGIMG YOUUUUUU
I WILL GIVE BRAINLIEST ASAP
Answer:
Below
Step-by-step explanation:
Problem 1
Blank 1 = 6
Blank 2 = 17
(5*3)+2
Blank 3 = 4
(4*1)
Problem 2
Blank 1= (-5)^3=-5*-5*-5=-125
Blank 2= 18
(6*3)
Blank 3= 12
(4*3)
Identify the correct corresponding parts
Answer:
The correct corresponding part is;
[tex]\overline {CB}[/tex] ≅ [tex]\overline {CD}[/tex]
Step-by-step explanation:
The information given symbolically in the diagram are;
ΔCAB is congruent to ΔCED (ΔCAB ≅ ΔCED)
Segment [tex]\overline {CA}[/tex] is congruent to [tex]\overline {CE}[/tex] ( [tex]\overline {CA}[/tex] ≅ [tex]\overline {CE}[/tex])
Segment [tex]\overline {CB}[/tex] is congruent to [tex]\overline {CD}[/tex] ( [tex]\overline {CB}[/tex] ≅ [tex]\overline {CD}[/tex])
From which, we have;
∠A ≅ ∠E by Congruent Parts of Congruent Triangles are Congruent (CPCTC)
∠B ≅ ∠D by CPCTC
Segment [tex]\overline {AB}[/tex] is congruent to [tex]\overline {DE}[/tex] ([tex]\overline {AB}[/tex] ≅ [tex]\overline {DE}[/tex]) by CPCTC
Segment [tex]\overline {AE}[/tex] bisects [tex]\overline {BD}[/tex]
Segment [tex]\overline {BD}[/tex] bisects [tex]\overline {AE}[/tex]
Therefore, the correct option is [tex]\overline {CB}[/tex] ≅ [tex]\overline {CD}[/tex]
what is 4x + 9 + 10 divided by 12
Answer:
4x+59/6
Step-by-step explanation:
Answer:
4x + 19
------------
12
54 divived by 32 i really need this help!
Answer:
1.6875
Step-by-step explanation:
Combine like terms.
(8b+ 12) + (3n + 6) + (9b-4)
(8b + 12) + (3n+6) + (9b - 4) =((Simplify your answer.)
+
Answer:
(8b + 12) + (3n+6) + (9b - 4)
= 8b + 12 + 3n + 6 + 9b - 4
= 17b + 3n + 14
Solve the system... I will mark you brainliest!!!!!!
Answer:
(2,4),(−1,1)
Step-by-step explanation:
The 2th term of The A.P is 7 and 4th term is 28 Find The Common difference and The first term.
help me please
Answer:
d = 10.5, a₁ = - 3.5
Step-by-step explanation:
The n th term of an AP is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₂ = 7 and a₄ = 28 , then
a₁ + d = 7 → (1)
a₁ + 3d = 28 → (2)
Subtract (1) from (2) term by term to eliminate a₁
2d = 21 ( divide both sides by 2 )
d = 10.5 ← common difference
Substitute d = 10.5 into (1)
a₁ + 10.5 = 7 ( subtract 10.5 from both sides )
a₁ = - 3.5 ← first term
Determine the type of function each table represents. Write “linear”, “exponential”, or “neither”.
Two-way table with x-values 0, 1, 2, 3, 4 and y-values 0, 1, 4, 9, 16
[ Select ]
Two-way table with x-values 0, 1, 2, 3, 4 and y-values 1/3, 1, 3, 9, 27
[ Select ]
Two-way table with x-values 0, 1, 2, 3, 4 and y-values 5, 5/2, 5/4, 5/8, 5/16
[ Select ]
Two-way table with x-values 0, 1, 2, 3, 4 and y-values 4.5, 4, 3.5, 3, 2.5
[ Select ]
Answer:
1) Neither
2) Exponential
3) Exponential
4) Linear
Step-by-step explanation:
1) x-values [tex]{}[/tex] y-values
0 [tex]{}[/tex] 0
1 [tex]{}[/tex] 1
2 [tex]{}[/tex] 4
3 [tex]{}[/tex] 9
4 [tex]{}[/tex] 16
Therefore, we have, the relationship of the function given as_f(x) = x² Which is neither a linear function nor an exponential function
2) x-values [tex]{}[/tex] y-values
0 [tex]{}[/tex] 1/3
1 [tex]{}[/tex] 1
2 [tex]{}[/tex] 3
3 [tex]{}[/tex] 9
4 [tex]{}[/tex] 27
The relationship between 'x', and 'y' is given as follows;
f(x) = 3⁽ˣ⁻¹⁾
Therefore, the relationship between 'x', and 'y', is an exponential relationship, and the function is an exponential function
3) x-values [tex]{}[/tex] y-values
0 [tex]{}[/tex] 5
1 [tex]{}[/tex] 5/2
2 [tex]{}[/tex] 5/4
3 [tex]{}[/tex] 5/8
4 [tex]{}[/tex] 5/16
The relationship between 'x', and 'y' is given as follows;
f(x) = 5×(1/2)ˣ
Therefore, the relationship between 'x', and 'y', is an exponential relationship, and the function is an exponential function
4) x-values [tex]{}[/tex] y-values
0 [tex]{}[/tex] 4.5
1 [tex]{}[/tex] 4
2 [tex]{}[/tex] 3.5
3 [tex]{}[/tex] 3
4 [tex]{}[/tex] 2.5
The given data for the y-values has a constant first common difference of 4 - 4.5 = -0.5, therefore, the relationship between the 'x', and 'y' values is a linear relationship.
Answer:
Step-by-step explanation:
Linear
Ellis is counting license plates while her family is on a road trip. She has counted 111 plates each from 8 different states. Estimate how many license plates Ellis has counted in all. Round the larger factor to the nearest hundred to estimate.
Answer: 880
Step-by-step explanation: 111 to the nearest hundred is 110 x 8= 880
help me yall like sis
Answer:
x= 10
Step-by-step explanation:
8x+30=110
8x+30-30=110-30
8x=80
8x/8=80/8
x=10
Answer:
x=10
Step-by-step explanation:
Vertical angles are always congruent, those to angles are vertical angles so they are congruent.
Set them equal to each other:
110=8x+30 subtract 30 from both sides
80=8x divide by 8 on both sides
x=10
Hope this helps :)
Which of the following is equivalent to 3(y−1+2y)?
Multiply 2ab(−a+2b+3).
−2a2b+4ab2+6ab
8a2b2
−2a +2ab+3b
8ab
Answer:
−2a2b+4ab2+6ab
Step-by-step explanation:
i took the test
I'm just struggling a lot with missing angles any help would be great
Which set of expressions below does NOT represent equivalent expressions?
A. 8(3x + 7) and 8(3x) + 8(7)
B. 3(8x + 7) and 11x + 10
C. 7(3x + 8) and 7 ∙ 3x + 7∙ 8
D. 3(7x + 8) and 21x + 24
Answer:
B
Step-by-step explanation:
The other are equal
help me pleaseee will give brainliest
Answer:
[tex]x_1=5,\\x_2=2[/tex]
Step-by-step explanation:
Problem 1:
The angles [tex]\angle 3[/tex] and [tex]\angle 7[/tex] are corresponding, and thus are equal to each other. We can then set up the following equation:
[tex]5x+2=27,\\5x=25,\\x=\fbox{$5$}[/tex].
Problem 2:
The angles [tex]\angle 6[/tex] and [tex]\angle 4[/tex] are supplementary, meaning they add up to [tex]180^{\circ}[/tex]. Therefore, we have the following equation:
[tex]18x+144=180,\\18x+36,\\x=\fbox{$2$}[/tex].
Answer:
1st answer is 5°
Step-by-step explanation:
Z3 = Z7
or, 5x + 2 = 27°
or, 5x = 25°
or, x = 5°
:-))
x^2+3x+37=-7x
I'm supposed to complete the square but my teacher did not explain it well at all. It would be really great if you showed the steps to get the answer :)
Answer:
x= -74 or -84
Step-by-step explanation:
x^2+3x+37=-7x
x^2+3x+7x+37=0
x^2+10x+37=0
this convert to following
[tex]( - b + - \sqrt{ {b}^{2} } - 4 \times a \times c) \div 2 \times a[/tex]
-b= -(10), a= 1, c =37
according to that
x= -74 or x= -84