-14 is the 81th term.
What is the position of -14?The first step is to determine the relationship between the numbers in the sequence. When examined, it can be seen that the number decline by 1/5.
To confirm : 2 1/5 - 2 = 1/5
The linear equation that can be used to determine the position of a number is:
2 1/5 - 1/5(x)
Where x is the position of the number
For example, the third number is
2 1/5 - 1/5(3) = 1 4/5
Given the number, the position of the number can be determined using the above linear equation:
-14 = 2 1/5 - 1/5(x)
In order to determine the value of x, take the following steps:
Multiply through by 5
(-14 x 5) = (11/5 x 5) - (x / 5 x 5)
-70 = 11 -x
Combine similar terms: 70 + 11 = x
Add similar terms: x = 81
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3z^2 -4z+10 3z 2 −4z+10
Answer:
106z2−8z+10Step-by-step explanation:
3z2 − 4z + 103z2 −4z + 10
3z2 + − 4z+ 103z2 +− 4z + 10
Combine Like Terms:3z2 +− 4z+ 103z2 + − 4z + 10
( 3z2 + 103z2 ) + ( −4z+−4z ) + ( 10 )
106z2 + − 8z + 10
how many seconds are in 10 1/2 minutes
Answer:
630 seconds
Step-by-step explanation:
1 minute = 60 seconds
Number of minutes × Number of seconds per minute = Number of seconds in total
60 × 10 ½ = 630 seconds
Hope this helped! ^^
Evaluate Piecewise Functions, please help asap! Thank you!
Answer:
4, -1, 5, -2
Step-by-step explanation:
90 = 10(x + 7) solve for x
show steps & describe the number of solutions
Answer:
x = 2
Step-by-step explanation:
Simplifying
90 = 10(x + 7)
Reorder the terms:
90 = 10(7 + x)
90 = (7 * 10 + x * 10)
90 = (70 + 10x)
Solving
90 = 70 + 10x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-10x' to each side of the equation.
90 + -10x = 70 + 10x + -10x
Combine like terms: 10x + -10x = 0
90 + -10x = 70 + 0
90 + -10x = 70
Add '-90' to each side of the equation.
90 + -90 + -10x = 70 + -90
Combine like terms: 90 + -90 = 0
0 + -10x = 70 + -90
-10x = 70 + -90
Combine like terms: 70 + -90 = -20
-10x = -20
Divide each side by '-10'.
x = 2
Simplifying
x = 2
Given that 12q x + 16p + 10p = 192x + 312. Find the values of p and q
Answer:
p = 12, q = 16,
Step-by-step explanation:
A 65g book is 15cm x 5cm x 3cm find the density
PLEASE HELP I REALLY NEED IT
Answer:
0.2888888889
Step-by-step explanation:
d=m/v
v=15×5×3=225
d=65/225
d=0.2888888889g/cm³
Answer:
0.29 g/cm³
Explanation:
[tex]\sf density \ (g/cm^3) = \dfrac{mass \ (g)}{volume \ (cm^3)}[/tex]
Here given following:
mass = 65 gramsvolume = 15 cm × 5 cm × 3 cm = 225 cm³Find density:
[tex]\sf \rightarrow density = \dfrac{65}{225}[/tex]
[tex]\sf \rightarrow density = 0.2888...[/tex]
[tex]\sf \rightarrow density = 0.29[/tex]
-3, -5
a b
Step by step?
The given algebraic equation formula i.e., [tex](a^{2} -b^{2} )=(a+b)(a-b)[/tex] is verified for the given values of a and b of -3 and -5 respectively.
As per the question statement, we are supposed to verify the algebraic equation formula
[tex](a^{2} -b^{2} )=(a+b)(a-b)[/tex]
We are given that a = -3 and b = -5
Now substituting the values of a and b in the algebraic equation formula
[tex](a^{2} -b^{2} )=(a+b)(a-b)\\LHS = (a^{2} -b^{2} )\\LHS= ([-3]^{2} -[-5]^{2} )\\LHS=(9-25)\\LHS = -16[/tex]
LHS = Left hand side of the equation
Now considering RHS i.e., Right hand side
[tex]RHS = (a+b)(a-b)\\RHS = ([-3]+[-5])([-3]-[-5])\\RHS= (-8)(2)\\RHS = -16[/tex]
As Left Hand Side LHS = Right Hand Side RHS
Hence the equation, [tex](a^{2} -b^{2} )=(a+b)(a-b)[/tex] is verified for the given values of a and b and is true for all real values of a and b.
Algebraic Equation: The term "algebraic equation" refers to a formulation of the equality of two expressions using the algebraic operations of addition, subtraction, multiplication, division, raising to a power, root operations.To learn more about algebra and equations, click on the link given below:
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Segments AD and BC intersect at point O.
Prove that AC = BD,
m∠ABC=m∠BAD.
Since both triangles are congruent, then we can conclude that AC = BD by Angle - Side - Angle congruence theorem.
How to prove Congruent Angles?
In ΔOAC and ΔODB, we have the following observations
CO = DO because it is shown that they are congruent
∠AOC = ∠BOD because vertical angles are congruent
∠ACO = ∠BDO because we are given that they are congruent
Now, the congruency theorem that we can use here is ASA which means Angle - Side - Angle. This implies that 2 corresponding angles and the included side are congruent.
If any two angles and the side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle, then the two triangles are said to be congruent by Angle - Side - Angle congruence theorem.
Since both triangles are congruent, then we can conclude that AC = BD by Angle - Side - Angle congruence theorem.
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After san jose, ca banned plastic bags, in 2012, bag litter choking the city's storm drains dropped by
62% down to 80 bags per site tested. what was the number of bags per site tested before 2012 based
on this study?
Number of bags per site tested before 2012 based on study it dropped by 62% down to 80 bags per site in 2012 is 129 (approximately).
As given,
In 2012, bag per site tested dropped by 62%
Let n be the number of bags per site before 2012
As per condition,
62% of n = 80
⇒(62/100) × n = 80
⇒ n = (80 × 100)/62
= 129.03
≈ 129
Therefore, number of bags per site tested before 2012 based on study it dropped by 62% down to 80 bags per site in 2012 is 129 (approximately).
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M
80.7°
Solve x
29°
N
Answer:
So what's M and N?
Step-by-step explanation:
Solve the equation v² = 36. What’s the value of v?
Answer:
6
Step-by-step explanation:
6 x 6 = 36
Lisa works a weekend job for some extra money during school. She works Friday for 5 hours, Saturday for 8 hours and Sunday for 3 hours.
On Friday she makes $55.
On Saturday she makes $88.
On Sunday she makes $33.
How much money does Lisa make per hour at her job?
HOW TO DO???
- First you have to find how much money does she get per hour on each day
- Then add the amounts together
SLOVE
Lisa get: 55 : 5= 11$ per hour on Friday
Lisa get: 88 : 8= 11$ per hour on Saturday
Lisa get: 33 : 3= 11$ per hour on Sunday
At the end Lisa get: 11$ x 3= 33$ per hour at her job
{ I think my English isn't very good either because I'm just intermediate so I hope you understand it.}
Help I don’t know how to do this
Answer:
∠1 is 101 ∠4 is 79 and ∠2 is 79
Step-by-step explanation:
This is because ∠1 is a vertical angle of ∠3 so they have the same angle
For ∠4 and ∠2 you would do 101-180 because they are supplementary do they add up to 180
What is the difference between the value of the 4 in 25.48 and 12.64
The difference between the values of 4 is 0.36.
We need to understand the place value and face value of a digit in a number.
Place value of digit is decided by putting the number of zeroes equal to the number of digits after that digit.
And the face value of a number is the number itself.
Here the two numbers given is 25.48 and 12.64. And we have to find the difference in place value of 4 in the given number.
The value of 4 in 25.48 is 0.40.
The value of 4 in 12.64 is 0.04.
Required difference = 0.40-0.04
= 0.36
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Unit 2 Logic and Proof Homework 1 Inductive reasoning
Answer:
The answers for this question is given below in the explanation section, kindly refer.
Step-by-step explanation:
Find the next 5 terms:
1) 28 < 33, 38, 43, 48, 53 => In every next term 5 is added.
2) 64 < 32, 16, 8, 4, 2 => In every next step the term is divided by 2.
3) 64 < 125, 216, 343, 512, 729 => In every next step it is a cube of next number.
4) 13 < 17, 19, 23, 29, 31 => In every next term it is the next prime number.
5) V < VI, VII, VIII, IX, X => In every next term it is the next roman numeral.
6) 8 < 13, 21, 34, 56, 90 => In every next term it is the sum of previous two terms.
7) => In every next term the arrows rotate clockwise in direction.
T/F:
8) False => 17+19 = 36, which is not a prime number.
9) True
10) True
11) True
12) True
13) True
14) False => ostrich, penguin, etc.
15) True
16) False => (a + b)² = a² + b² + 2ab
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A zumba instructor charges according to the number of participants. If there art 15 participants or below, the instructor charges 500.00 for each participant per month. If the number of participants is between 15 and 30 , he charge 400.00 for each paetricipants pe month . If there are 30 partricipantsor more . he charge 350.00 for each partricipas per month
The piecewise function that describes what the instructor charges is; f(x) = 500x , 0 < x ≤ 10
400x , 10 < x < 25
350x , x ≥ 25
How to create piecewise functions?
Let x represent the number of participants and let y represent the charge per participant.
Now, y depends on x, and as such we can say that;
f(x) = y
For, 0 < x ≤ 10, the total charges is 500x,
f(x) = 500x , 0 < x ≤ 10
For 10 < x < 25, total charge is 400x,
f(x) = 400x , 10 < x < 25
For x ≥ 25, the total charge is 350
f(x) = 350x x ≥ 25
Therefore, we can say that;
f(x) = 500x , 0 < x ≤ 10
400x , 10 < x < 25
350x , x ≥ 25
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Write the piecewise function that describes what the instructor charges.
A group of friends wants to go to the amusement park. they have $154.25 to spend on parking and admission. parking is $11.25, and tickets cost $35.75 per person, including tax. how many people can go to the amusement park?
4 people can go to the amusement park.
Let the number of people that can go to amusement park be x.
The parking fee will be paid once only, while cost of ticket will be multiplied based on the number of people.
Forming equation as per the given information in question -
11.25 + 35.75 × x = 154.25
Solving the equation as per the operators -
Shifting 11.25 to Right Hand Side of the equation
35.75x = 154.25 - 11.25
Performing subtraction on Right Hand Side of the equation
35.75x = 143
Shifting 35.75 to Right Hand Side of the equation
x = 143 ÷ 35.75
Performing division on Right Hand Side of the equation
x = 4
Therefore, 4 people can go to the amusement park.
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Will mark brainliest! HELP MEEE!!
Answer:
He needs to get 100% on his next test
Explanation:
(59 + 80 + 65 + 96 + 100) / 5
help me pease this is confussing will give brainlidt
[tex]\stackrel{mixed}{2\frac{3}{4}}\implies \cfrac{2\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{11}{4}} \\\\\\ 6\cdot 2\frac{3}{4}\implies \cfrac{6}{1}\cdot \cfrac{11}{4}\implies \cfrac{66}{4}\implies \cfrac{33}{2}\implies {\LARGE \begin{array}{llll} 16\frac{1}{2} \end{array}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{mixed}{3\frac{1}{3}}\implies \cfrac{3\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{10}{3}} ~\hfill \stackrel{mixed}{3\frac{2}{5}}\implies \cfrac{3\cdot 5+2}{5}\implies \stackrel{improper}{\cfrac{17}{5}} \\\\\\ -3\frac{1}{3}\cdot -3\frac{2}{5}\implies -\cfrac{10}{3}\cdot -\cfrac{17}{5}\implies +\cfrac{170}{15}\implies \cfrac{34}{3}\implies {\LARGE \begin{array}{llll} 11\frac{1}{3} \end{array}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{mixed}{4\frac{1}{2}}\implies \cfrac{4\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{9}{2}} ~\hfill \stackrel{mixed}{8\frac{2}{3}}\implies \cfrac{8\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{26}{3}} \\\\\\ -4\frac{1}{2}\cdot 8\frac{2}{3}\implies -\cfrac{9}{2}\cdot \cfrac{26}{3}\implies -\cfrac{234}{6}\implies \cfrac{-39}{1}\implies \text{\LARGE -39} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{mixed}{1\frac{5}{6}}\implies \cfrac{1\cdot 6+5}{6}\implies \stackrel{improper}{\cfrac{11}{6}} \\\\\\ 1\frac{5}{6}\cdot (-9)\implies \cfrac{11}{6}\cdot \cfrac{(-9)}{1}\implies -\cfrac{99}{6}\implies -\cfrac{33}{2}\implies \LARGE \begin{array}{llll} -16\frac{1}{2} \end{array}[/tex]
Identify the transformation that maps the figure onto itself. A Reflect across the line x = 3 Reflect across the line x = 3, B Rotate 180° about the point (3, -3)Rotate 180° about the point (3, -3) C Rotate 180° about the point (5, -5)Rotate 180° about the point (5, -5) D Reflect across the line y = -3
Answer:
D Reflect across the line y = -3
Step-by-step explanation:
The only way you can divide the trapezoid so that there are two congruent parts is when you draw a line on y=-3.
Can dilations be used to form scale copies of a figure?
Yes
No
Sometimes
This was not in the iReady lesson
Answer:
sometimes
Step-by-step explanation:
There are several ways that dilation is used in real life. Here are several:
In graphic design. I actually do some graphic design, and I use dilation a lot. It is common to dilate photos to fit the space that you want it to fit.
In police work and crime investigation. Detectives and police dilate photos to see smaller details and evidence.
In architecture. It is normal for architects to make a prototype of their design or building. In order to make the building true to the prototype, they must dilate the scale and measurements.
In the doctor's office. Dilation is used in eye exams so that the eye doctor can view the patient's eye better. After a while it will slowly reduce in size and return back to normal.
The following values represent the amount of money (in dollars) 10 people have in their wallets: 10, 12, 19, 5, 6, 8, 1, 13, 4, 7 what is the median?
The median of all these numbers in dollars is 7.5.
How to obtain median when no. of given data are odd ?When the no. of given data are odd we arrange those nos. in an order increasing or decreasing order and the middle no. is the median of the given odd numbers.
According to the given question the following values represent the amount of money (in dollars) 10 people have in their wallets: 10, 12, 19, 5, 6, 8, 1, 13, 4, 7 and we have to find the median.
First we observe that no. of people is even so there will be two middle nos.
Now lets arrange these nos. in an order from least to greatest which is
1, 4, 5, 6, 7, 8, 10, 12, 13, 19 in this 7 and 8 are middle numbers.
So, to find the median of all these nos. we will divide these two middle nos. by 2.
∴ ( 7 + 8 )/2
= 15/2
= 7.5.
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1
Select the correct answer.
Consider the formula for the average vělocity, v, of a moving particle. In the formula, d, and de represent the distance traveled by the particle at
times t, and to respectively.
V=
t₂-t₁
Which of the following equations is equivalent to the formula for velocity?
Equatio 15: Mastery Test
OA. d₂= v(t₂-t₁) + di
v (d₂d₁) + ti.
OB. t₂ =
OC. t₁:
OD. d₁=
=
v (d₂d₁) - t₂
v (t₂-t₁) - d₂
Reset
Next
5 less than 2/3 of a number is 19. Find the number
Answer:
the anser in 60
Step-by-step explanation:
Let the original number be x.
According to the question we can write as (2/3)x+20x
On rearranging x−(2/3)x=20
Now taking the L.C.M od 1 and 3 is 3
(3x−2x)/3=20
x/3=20
Again by transposing x=60
So the original number is 60
Number 33, Im not sure how to start so if anyone could write the steps down in order or explain it, I would be so happy.
Answer:
A = 26 B = 82
Step-by-step explanation:
The angle A = 180 - ∅
So A is:
180 - (4x+10)
180 - 4x - 10
170 - 4x
The total angle of a triangle is 180, so A + B + C = 180
(170 - 4x) + (2x + 10) + 72 = 180
170 - 4x + 2x + 10 + 72 = 180
170 - 2x +82 = 180
252 - 2x = 180
252 - 180 = 2x
72 = 2x
72/2 = x
36 = x
A = (170 - 4x) = (170 - 4(36)) = 26
B = (2x + 10) = (2(36) + 10) = 82
C = 72
HELP ME !! tHank u SHow work Plss Thankkkk u
[tex]\cfrac{2}{3}\left( \cfrac{9}{10} \right)\left( \cfrac{1}{2} \right)\implies \cfrac{2}{3}\cdot \cfrac{9}{10}\cdot \cfrac{1}{2}\implies \cfrac{9}{3}\cdot \cfrac{1}{10}\cdot \cfrac{2}{2}\implies 3\cdot \cfrac{1}{10}\cdot 1\implies \cfrac{3}{10}[/tex]
Evaluate the expression [8(2)-4^2]+7(4)
The value of expression using PEMDAS rule is 28 .
Given : expression [ 8 ( 2 ) - [tex]( 4 )^{2}[/tex]] + 7 ( 4 )
To find : value of expression
Calculation : Using V-BODMAS
[ 8 ( 2 ) - [tex]( 4 )^{2}[/tex]] + 7 ( 4 )
= [ ( 8 * 2 ) - ( 4 * 4 ) ] + ( 7 * 4 )
= [ 16 - ( 4 * 4 ) ] + ( 7 * 4 )
= [ 16 - 16 ] + ( 28 )
= [ 0 ] + ( 28 )
= 28
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Compare the functions shown below: f(x) = (x + 3)2 − 2 g(x) linear graph with y intercept of negative 3 over 2 and x intercept of 3 h(x) x y −3 2 −2 7 −1 14 0 23 1 34 2 47 3 62 What is the correct order of the functions from least to greatest according to the average rate of change on the interval from x = −1 to x = 3?
Answer:
For f (x):
f (x) = (x + 3) ^ 2 - 2
For x = -1
f (-1) = (-1 + 3) ^ 2 - 2
f (-1) = (2) ^ 2 - 2
f (-1) = 4 - 2
f (-1) = 2
For x = 3
f (3) = (3 + 3) ^ 2 - 2
f (3) = (6) ^ 2 - 2
f (3) = 36 - 2
f (3) = 34
AVR = ((34) - (2)) / ((3) - (- 1))
AVR = 8
For g (x):
linear graph with and intercept of negative 3 over 2 and x intercept of 3
y = mx + b
b = -3/2
For me we have:
0 = m (3) - 3/2
3m = 3/2
m = 1/2
The function g (x) is:
g (x) = (1/2) x - 3/2
For x = -1
g (-1) = (1/2) (- 1) - 3/2
g (-1) = -1/2 - 3/2
g (-1) = -4/2
g (-1) = -2
For x = 3
g (3) = (1/2) (3) - 3/2
g (3) = 3/2 - 3/2
g (3) = 0
AVR = ((0) - (- 2)) / ((3) - (- 1))
AVR = 1/2
For h (x):
Using the table we have:
AVR = ((62) - (14)) / ((3) - (- 1))
AVR = 12
Step-by-step explanation:
Answer:
from least to greatest:
1) g (x)
2) f (x)
3) h (x)
Step-by-step explanation:
Snorkel's age 15 years ago was 22. How old is Snorkel today?
y varies directly as the square root of x, and y = 12, when x = 49. Find the value of y when x = 225.
Answer:
180/7
Step-by-step explanation:
Direct variation:
y varies directly as k
y = kx
y varies directly as √x
y = k√x
We need to find k. We use the given data to find k.
y = 12 when x = 49
12 = k√49
12 = 7k
k = 12/7
The equation of direct variation is
y = (12/7)√x
x = 225
y = (12/7)√225
y = (12/7)(15)
y = 180/7