Find a probable next term for the sequence 9,20,39,72,125,204,315
Answer:
464
Step-by-step explanation:
The first term is 9.
The difference between the second and first term = 20 - 9 = 11
The difference between the third and second term = 39 - 20 = 19
The difference between the fourth and third term = 72 - 39 = 33
The difference between the fifth and fourth term = 125 - 72 = 53
The difference between the sixth and fifth term = 204 - 125 = 79
The difference between the seventh and sixth term = 315 - 204 = 111
The differences are 11, 19, 33, 53, 79, 111
From the difference: 19 - 11 = 8, 33 - 19 = 14, 53 - 33 = 20, 79 - 53 = 26, 111 - 79 = 32
We can see from the first difference (8), if we add 6 we get 14, if we add another 6 we get 20, if we add 6 we get 26, if add 6 we get 32
We get the eight term using:
32 + 6 = 38
let x be the difference between the eight term and the seventh term, hence:
x - 111 = 38
x = 111 + 38
x = 149
Therefore:
eighth term - seventh term = 149
eighth term - 315 = 149
eighth term = 149 + 315
eighth term = 464
The next probable term is 464
Can someone tell me the slope ?
Answer:
slope = 4
Step-by-step explanation:
We can find the slope of a line when knowing 2 points by using the slope formula, [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]. [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of the first point, respectively. [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of the second point, respectively.
The two points we have are (2,8) and (0,0). So, in this case, [tex]x_1[/tex] = 2, [tex]y_1[/tex] = 8, [tex]x_2[/tex] = 0, and [tex]y_2[/tex] = 0. Let's substitute those values into the formula and solve to get the slope:
[tex]m =[/tex] [tex]\frac{0-8}{0-2}[/tex]
[tex]\frac{-8}{-2}[/tex]
[tex]4[/tex]
So, the slope is 4.
Pls help me with this problem
Answer:
when adding 3
6+3=9
when subtracting 2
9-2=7
7,8,9,10,11,12,13,
78 is65% of why number
Answer: 120
Step-by-step explanation:
is 8 greater than -8
Answer:
yes
Step-by-step explanation: bc 8 is positive and -8 in negitive. 8 has a greater vealu bc its posivtive. -8 i has a leere vealu bc it negitive.
The table shows total number of cars rented everyday for a
week from Golden State Rentals, What is the estimated
average increase in car rentals per day for Tuesday through
Friday?
Golden State Car Rentals
M Tu
W
Th
F
Sa
Su
Day
Total cars
41
109 158 199 262 313 352
Answer:
182
Step-by-step explanation:
starting from TU witch is 109 you keep adding so you get the eqation
109+158+199+262=728
then it's 728 divied by (/) 4 becase that is how many you added and you get 182 cars
Please help me I am stuck
Answer:
Brand C
Step-by-step explanation:
Plz help quick How do you do this problem
Answer: [tex]\frac{pr}{675}[/tex]
Step-by-step explanation:
cant have a negative exponent[tex]\frac{1}{(3p^{-1} r)^3(5pr^{-2} )^2} \\[/tex] split up (3p^-1 r)^3rewrite that part of the equation[tex]\frac{1}{(\frac{3}{p} )^{3} r^{3} }[/tex] raise 3 to the power of 3 = 27p to the power of 3 = [tex]p^{3}[/tex] Next part of the equation [tex](5p)^{2}[/tex] expand that[tex]5^{2} p^{2}[/tex] simplfy[tex]25p^{2}[/tex] Next part of the equation [tex](r^{-2})^{2}[/tex] multiply the exponents[tex]r^{-4}[/tex] rewrite the equation [tex]\frac{1}{\frac{27}{p^{3} }r^{3} (25p^{2})\frac{1}{r^{4} } }[/tex] combine [tex]\frac{27}{p^{3} } , and , r^{3}[/tex] = [tex]\frac{27r^{3} }{p^{3} }[/tex]combine 25 and [tex]\frac{27r^{3} }{p^{3} }[/tex] Multiply [tex]\frac{675r^{3} }{p^{3} }[/tex] combine [tex]\frac{675r^{3} }{p^{3} }[/tex] and [tex]p^{2}[/tex] [tex]\frac{675r^{3}p^{2} }{p^{3} }[/tex] multiply [tex]\frac{675r^{3}p^{2} }{p^{3} }[/tex] and [tex]\frac{1}{r^{4} }[/tex] [tex]\frac{1}{\frac{675r^{3}p^{2} }{p^{3}r^{4} }}[/tex] cancel the common factors and factor everything out [tex]r^{3}[/tex] comes out of [tex]{675r^{3}p^{2} }[/tex] [tex]r^{3}[/tex] can also come out of [tex]p^{3} r^{4}[/tex] Rewrite as [tex]\frac{1}{\frac{675p^{2} }{p^{3} r} }[/tex] cancel the common factor of [tex]p^{2}[/tex] and [tex]p^{3}[/tex] factor [tex]p^{2}[/tex] out of [tex]675p^{2}[/tex] by mulitiplying factor [tex]p^{2}[/tex] out of [tex]{p^{3} r} }[/tex] cancel the common factorrewrite the expression [tex]\frac{1}{\frac{675}{pr} }[/tex] and then multiply the numerator and denominator and you get the answerPls Help need it asap
which triangle is similar to an equilateral triangle with side lengths of 5.2 cm
a. a right triangle with a perimeter of 15.6 cm
b. a equilateral triangle with a perimeter of 10 feet
c. any triangle with a perimeter of 15.6 cm
d. an isosceles triangle where two of the side are 5.2 cm
Answer:
B.
Step-by-step explanation:
Two figures are said to be similar if they are the same shape. In more mathematical terms, two figures are similar if their corresponding angles are congruent , and the ratios of the lengths of their corresponding sides are equal.
Which 3 cards on the bottom are the reasons?
Answer:
Attachment
Step-by-step explanation:
solve for x it is a parallelogram please help i'll give.l brainliest if right
Answer:
UW = EW+UE=2×EW because, EW=UE
7x-2=2×6= 12
7x=14
x=14/7
x=2
2 is the right answer.Expand.
Your answer should be a polynomial in standard form.
(9+ m)(-m +9)=
Answer: -1m²+81
Step-by-step explanation:
correct standard form means that the terms are ordered from biggest exponent to lowest exponent.The leading coefficient is the coefficient
of the first term in a polynomial in standard form.
FoR example, (9+ m) (-m+9) = *(m+9) (-m+9) *m(-m+9) +9 (-m+9)* -1.mm+9m +9(-m+9) * -1m² +9m +9(-m+9) *-1m²+9m- 9m +81
answer -1m²+81
Chris ran 23.7 miles less than Laura last week. Chris ran 8.3 miles. How man miles did Laura run?
Answer:
32
Step-by-step explanation:
8.3+23.7=32
Hope this helps :)
Answer:
Laura ran 32 miles.
Step-by-step explanation:
8.3 miles + 23.7 miles
= 32 miles
Which of the following has the least value?
A. 13/15
B. 7/8
C. 2/3
D. 3/4
(I also need the work if not its ok!)
Answer:
its c
Step-by-step explanation:
Answer:
C. 2/3
Step-by-step explanation:
To solve this, we should come up with a common denominator first.
The least common denominator (LCD) of the four fractions would be 120.
So, first multiply each fraction's denominator to get 120, and multiply the numerator by the same amount.
ex. 3/4
4 x 30 = 120
3 x 30 = 90
We get 90/120.
After doing this with each fraction, we get;
13/15 = 104/120
7/8 = 105/120
2/3 = 80/120
3/4 = 90/120
Now, it is easier to see which fraction has the least value (or the one that is the smallest. Your answer is 2/3, since 80/120 is the smallest out of the four.
Melina wants to achieve a race of 22 miles an hour. She completes 10 miles in 30 mins. Did Melina achieve her goal ?
If you were serving pumpkin pie at your Thanksgiving dinner, how much pie would 8 guests receive? What about 4 guests? 2 guests?
Answer:
Step-by-step explanation:
if you serve all the pie to 8 guests.. then they would each get 1/8.. if you were able to cut it exactly the same.. but.. we all know that there is always one piece that is bigger and we all want that piece :P b/c pumpkin pie is good
1/8
1/4
1/2
respectively for each of the questions
A=18 B=3 bc +4 Substitute the value with a number evaluate each algebraic expression using the given values. What is the number?
Answer:
YNW MELLY
Step-by-step explanation:YNW MELLY
A plumber charges $65 to make a house call plus an additional charge of $42 per hour for labor. Write an equation to represent the total cost (y) for any number of hours (x).
A plumber charges $65 to make a house call plus an additional charge of $42 per hour for labor. Write an equation to represent the total cost (y) for any number of hours (x).
Answer:
the required equation to represent the total cost with respect to every hour will be
=》y = 42x + 65
Step-by-step explanation:
total cost (y) = charge to make a house call + additional charge for every our
so, total additional charge for x hours
= 42 × x = 42x
hence y = 65 + 42x ( where 65 is charge to make a house call , y is total cost and 42x is additional charge for x hours )
i hope u got it
have a great day ^_^
4+1/4 x + 3 = 10 pls help me
Answer:
= 1 2
Step-by-step explanation:
Combine multiplied terms into a single fraction
Multiply by 1
Add the numbers
Subtract 7 from both sides of the equation then Simplify
Need this very badly
Help please!!!!!!!!!!!
Answer:
f, it isnt doing anything as going up in units of water
Step-by-step explanation:
865.3 divided by 5 ...?
Given a system of two equations in Two variable, replacing one equation by the sum of that equation and multiple of the other produces a system with the same solution. Show why this is true by solving the system of equations given. Justify the reason for each step. Use addition property of equality and multiplication property of equally in your answers.
1. To solve the system using elimination, First multiply the bottom equation by two. Write the new system of equations.
5x+2y=7
2. Why is this multiplication allowed?
3. What variable will be eliminated when the equations are combined after the multiplication?
4. Next, add the equations tighter. Your answer should be a single equation with one variable.
5. Why can you add the equations
6. Solve the equations for x
7. Substitute x back into one of the equations solve for y
8. What is the solution to the system of the equations?
Please I need this in 24 hours
Answer:
5x + 2y = 7
3x � y = 2
multiply the second equation by 2 and leave the first equation as is to get:
5x + 2y = 7
6x � 2y = 4
add the second equation to the first equation to get:
11x = 11
divide both sides of that equation by 11 to get:
x = 1
replace x with 11 in the first original equation to get:
5x + 2y = 7 becomes 5 + 2y = 7
solve for y to get y = 1
your solution is x = 1 and y = 1
confirm by replacing x and y with 1 and 1 in both original equations to get:
5x + 2y = 7 becomes 5 + 2 = 7 which is true.
3x � y = 2 becomes 3 - 1 = 2 which is true.
Step-by-step explanation:
Given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solution. Show why this is true by solving the system of equations given. Justify the reason for each step. HINT: Use addition property of equality and multiplication property of equality in your answers.
5x + 2y = 7
3x � y = 2
A1. To solve the system using elimination, first multiply the bottom equation by 2. Write the new system of equations.
B1. Why is this multiplication allowed?
C1. What variable will be eliminated when the equations are combined after the multiplication?
D1. Next, add the equations together. Your answer should be a single equation with one variable.
E1. Why can you add the equations?
F1. Solve the equation for x.
G1. Substitute x back into one of the equations to solve for y.
H1. What is the solution to the system of equations?
I hope this helps! ο(=•ω＜=)ρ⌒☆-8(-5b+7)+5b what the answers
Answer:
45b-56
Step-by-step explanation:
here and solve my recent question is for 100 points istg
Equivalate a +4 when a=7
Answer:
11
Step-by-step explanation:
Plug in the variable into the equation. 7+4=11
Answer:
11
Step-by-step explanation:
a is 7 so 7 + 4 = 11
this should be the answer if not i dont know. sorry
What is the slope of a line perpendicular to the line whose equation is 2x+10y=20. Fully reduce your answer.
Answer:
m=5
Step-by-step explanation:
2x+10y=20
10y=-2x+20
y=-1/5x+2
slope of this line=-1/5
(replace the denominator by the nominator and the nominator by the denominator and change the sign to the opposite one negative to positive)
slope of perpendicular line=5
The number 1-50 are placed in a bag. What is the probability of selecting:
A) a number greater than 50______
B) multiple of 5________
C) a prime number _________
D) a composite number_______
A: 0
B: 10/50
C: 15/50
D: 34/50
Answers:
A) 0B) 1/5 = 0.2C) 3/10 = 0.3D) 17/25 = 0.68Nearly all of those answers involve a fraction form and an equivalent decimal form.
===========================================
Work Shown:
Part A
The largest number in the bag is 50, so we cannot select anything larger than that. The probability of getting something larger than 50 is 0% which converts to the decimal form 0
----------------------------
Part B
List out the multiples of 5 to get {5,10,15,20,25,30,35,40,45,50}
Note how 50/5 = 10, which shows there are 10 multiples listed above.
We have 10 items in that set out of 50 items in the set {1,2,3,...,49,50}. The probability of getting a multiple of 5 is 10/50 = 1/5. This converts to the decimal form 0.2
----------------------------
Part C
The prime numbers between 1 and 50 are:
{2,3,5,7,11,13,17,19,23,29,31,37,41,43,47}
There are 15 items in that list out of 50 items in the bag, so 15/50 = (5*3)/(5*10) = 3/10 is the answer. Converting to decimal form gets us 3/10 = 0.3
----------------------------
Part D
There are 50 items in the bag and 15 primes. This means there are 50-15 = 35 composite items. Well this is close to the actual count. It turns out that the number "1" is not composite, and it's not prime either. So we really have 35-1 = 34 composite values.
We get 34/50 = (17*2)/(25*2) = 17/25 as the answer. That converts to 17/25 = 0.68
Nicole has $35.80 and spends $5.92 on a book. She puts half of the remaining money in her bank.
How much money does Nicole put in her bank?
$11.98
$14.94
$17.90
$29.88
Answer: 14.94
Step-by-step explanation:
35.80 - 5.92 = 29.88
29.88 divided by 2 gives you
14.94
Answer:
$14.94
Step-by-step explanation:
35.80-5.92=29.88
29.88/2=14.94
10 Points + Brainliest to first correct answer. Please give explanation for Brainliest. Any fake answers will be reported and deleted.
Which diagram best shows how fraction bars can be used to evaluate 1/2 divided by 1/4?
the second one is correct
Mai says that the equation 2x+2=x+1 has no solutions because the left side is double the right side. Do you agree with mai provide evidence for your reasoning.