Answer:
a).
[tex]{ \bf{first \: term}} \\ let \: n = 1 \\ n_{1} = {1}^{2} + 3(1) + 1 \\ n_{1} = 5 \\ \\ { \bf{second \: term}} \\ let \: n = 2 \\ n_{2} = {2}^{2} + 3(2) + 1 \\ n_{2} = 11 \\ \\ { \bf{third \: term}} \\ n_{3} = {3}^{2} + 3(3) + 1 \\ n_{3} = 19 \\ \\ { \bf{fourth \: term}} \\ n_{4} = {4}^{2} + 3(4) + 1 \\ n_{4} = 29[/tex]
b).
common difference, d:
[tex]d = n_{4} - n_{3} \\ d = 29 - 19 \\ d = 10\\ but \: increases \: by \: 2 \\ d = 10 + 2 = 12\\ therefore : \\ n_{5} = n_{4} + d \\ n_{5} = 29 + 12 \\ n_{5} = 41[/tex]
c).
[tex]n_{5} = {5}^{2} + 3(5) + 1 \\ n_{5} = 41[/tex]
yes it is the same
Need Help fast, with steps
Answer:The solution is in the attached file below
Step-by-step explanation:
What is the solution to the equation 5 + b = 18?
F b= 5
H b= 13
Gb=8
Jb= 23
Answer:
H) B= 13
Step-by-step explanation:
5 + b = 18
F) 5 + 5 = 10 so not equal to 18. It is not a solution
H) 5 + 13 = 18 it's equal . so it is the solution
G) 5 + 8 = 13 so not equal to 18. It is not a solution
J) 5 + 23 = 28 so not equal to 18. It is not a solution
13 is the answer
Step-by-step explanation:
5+b=18
b=18-5
b=13.
4) 2x(x+y)-(4x+2y)(3x-y)
Answer:
-10x² + 4xy - 2y²
Step-by-step explanation:
2x(x + y) - (4x + 2y)(3x - y)
= 2x² + 2xy - 12x² - 4xy + 6xy - 2y²
= 2x² - 12x² + 2xy - 4xy + 6xy - 2y²
= -10x² + 4xy - 2y²
At a charity fund-raiser, adult tickets were sold for $10 each and children's tickets were sold for $4 each. Write an algebraic expression for the total amount of money raised from the sale of tickets. How much money was raised if the fundraiser sold 244 adult tickets and 387 children's tickets?
Answer:
the all adult tickets made out 2440$
the all children tickets made out 1548
Does y=-4/5x represent a direct variation is yes,identify the constant of variation
Answer:
Most likely yes... there is a problem in the way you asked your question ...
if the question is [tex]y = ( \frac{-4}{5}) x[/tex] then the answer is yes and the constant is -4/5's
If by some chance the actual question is [tex]y = \frac{-4}{(5x)}[/tex] (you can not tell by the way y0u presented tis problem.. then the answer would be NO it would be "inverse" relation
Step-by-step explanation:
Date: / ot of so from the tind the value proportion:x: 35:98:60. 2
Answer:
jsjsjsjjejejejsjsisj
sjjsjskzij
Step-by-step explanation:
gwhshs
R' (-1, 9) is the image of R after a reflection in the x-axis. What are the coordinates of R?
Use the distributive property to write the expression without parentheses.
3(3a+2)
3(3a + 2) = (Simplify your answer.)
[tex]\\ \sf\longmapsto 3(3a+2)[/tex]
[tex]\\ \sf\longmapsto 3(3a)+3(2)[/tex]
[tex]\\ \sf\longmapsto 9a+6[/tex]
Hope it helps
1/3{3+7x3}-4 HELP ASAP
[tex] \dashrightarrow \sf \dfrac{1}{3}[3 + 7 \times 3][/tex]
[tex] \\ \\ [/tex]
write the equation
[tex] \\ \\ [/tex]
[tex] \dashrightarrow \sf \dfrac{1}{3}[3 +21][/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow \sf \dfrac{1}{3} \times 24[/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow \sf \dfrac{24}{3}[/tex]
[tex] \\ \\ [/tex]
[tex] \cancel{ \dashrightarrow \sf \dfrac{24}{3}}[/tex]
[tex] \\ \\ [/tex]
[tex]\dashrightarrow \sf8[/tex]
Answer :- 8
In 5 rounds of a game. Jill scored -3, 8, 9. -7
and 13. What integer represents her average
score for the 5 rounds?
Answer:
4
Step-by-step explanation:
You add all the numbers then you divide by the amount of numbers that you added. Hope this helped.
Help me please! Am horrible at math.
Answer:
Step-by-step explanation:
For a. the 14.7 represents the pressure that the air puts on you all the time.
For b. the d represents the depth you go under the surface of the water.
For c. we have to solve p(d) when d = 8:
p(8) = 14.7 + 0.445(8) so
p(8) = 14.7 + 3.56 and
p(8) = 18.26 psi
Write an expression that represents the perimeter of the rectangle
below. Write your answer in STANDARD FORM
5x + 2
2.x
[tex]\\ \sf\longmapsto Area=Length(Breadth)
[tex]\\ \sf\longmapsto Area=(5x+2)2x[/tex]
[tex]\\ \sf\longmapsto Area=10x^2+4x[/tex]
A) Addition
B) Subtraction
C) Multiplication
D) Exponent
3+16 divided by 4
4 x 7 - 2 x 6 divided by 3
5 (power of 2) - 4 x (2 power of 3) -3)
(-3 (power of 4) divided 9 x (4-5 (power of 3) + 8
Answer:
3+16 divided by 4 is 4.75
4×7-2×6..... is5.33
168
subtract 1/2 of 39 from 1/2 the number of days in august
Answer:
-4.
Step-by-step explanation:
There are 31 days in August.
1/2 * 31 - 1/2 * 39
= 15 1/2 - 19 1/2
= -4.
Help me please? An explanation too? Cause I’m really slow at learning and my teachers just go without me on stuff :/
Answer:
Here is your answer
s= 9/4
Sarah ran 4 7/8miles, then walked 1 11/12 miles.
Find the total distance she traveled.
Answer:
6 19 /24
Step-by-step explanation:
find the lcd and add
what does 8(x+5) equal
Answer:
40
Step-by-step explanation:
8(x+5)
8x+40
=40
0/1
(-7x2 + 2x – 9) - (2 + 9x2 + 3x)
7
8
9
What’s expression is equivalent (1/7x+6)-(-4/7x+3
Answer:
[tex]\frac{5}{7}[/tex] x + 3
Step-by-step explanation:
Given
( [tex]\frac{1}{7}[/tex] x + 6) - ( - [tex]\frac{4}{7}[/tex] x + 3) ← distribute by - 1
= [tex]\frac{1}{7}[/tex] x +6 + [tex]\frac{4}{7}[/tex] x - 3 ← collect like terms
= [tex]\frac{5}{7}[/tex] x + 3
102 A marathon is 26.2 miles long. There is a water station every 1 1/4 miles along the race route. How many water stations are needed for this marathon? tills
Answer:
21 stations
Step-by-step explanation:
1 1/4 = 5/4
26.2 / 5/4 = 20.96
rounded up to 21
Consider the expression 9 * (10 * 4).
Identify the equivalent expression below that demonstrates commutative property.
Answer:
9*(40)
Step-by-step explanation:
9*(10*4)
=9*(40)
The commutative property basically says that if we’re working with any equation, and there are two terms in parentheses you have to combine those two terms
I need help with this question please
Simplify.
18 2+6(4+1) -2
Step-by-step explanation:
18 2+6(4+1)-2
18 8(5)-2
18 40-2
18 38
18×38
multiply it to get your answer
Helppp pleaseeeee
Which expression is equivalent to
Answer:
The second option
Step-by-step explanation:
First, simplify the bracket
[tex] \frac{4r {}^{3} s {}^{2} t {}^{4} }{2r {}^{4} st {}^{6} } [/tex]
Apply Quotient of Powers
[tex]2 {r}^{ - 1} s {t}^{ - 2} [/tex]
Which equals
[tex] \frac{2s}{rt {}^{2} } [/tex]
Raise this to the fifth power
[tex] \frac{32s {}^{5} }{ {r}^{5} t {}^{10} } [/tex]
Multiply by the outsides numbers(5^r^6 and t^4
[tex] \frac{160 {}^{} r {}^{6}s {}^{5} t {}^{4} }{r {}^{5} t {}^{10} } [/tex]
[tex]160r {}^{5} t {}^{ - 6} [/tex]
[tex] \frac{160r {}^{}s {}^{5} }{t {}^{6} } [/tex]
HELP
HELP HELP HELP HELP
Answer:
B=107
Step-by-step explanation:
Foremost, D and B are equal measure which can be shown by proving that these two triangles are congruent. A+C+D=180, D=180-(32+41)=107
Linear Patterns #2: Solving Equations
Algebra
1. Given the pattern:
95, 91, 87, 83, 79, ...
b) Find the m value (rate of change=slope).
c)
m=-4
you are subtracting all the numbers by 4 therefore they are all changing by -4
what is 8.22 divided by 6.0
( in science )
Answer:
1.37
Step-by-step explanation:
hope this can help u
A farmer has 180 bushels of apples for sale at a farmer's market. He sells an average of 15 3/4 bushels each day. After 6 days, what is the change in the total number of bushels the farmer has for sale at the farmer's market?
What was Veronica's speed if she drove 475 miles in 6 1/4 hours?
Answer: 76 mph
Step-by-step explanation: speed is distance divided by time so 475 : 6.25 = 76 (mph)
Answer:
76 mph
Step-by-step explanation:
To find the answer, you would divide the miles she drove: 475 by the amount of time it took to get there: 6 1/4 hours. Convert the fraction to a decimal: 1/4= .25 so your problem would look like this...
475 / 6.25 = 76
How can 863.141 be written in expanded form?
Answer:
800 + 60 + 3 + 0.1 + 0.04 + 0.001
Diana works in a building that is 130 feet tall. She is outside, looking up at the building at an angle of 37° from her feet to the top of the building.
Let x be her initial distance from the building, then tan 37 = 130/x
x = 130/ tan 37 = 130/0.7536 = 172.5 feet
Let y be her distance from the building after moving forward, then
tan 40 = 130/y
y = 130/tan 40 = 130/0.8391 = 154.9
After moving forward, she is 172.5 - 154.9 = 17.6 ft closer.
Answer:
172.5 feet to the nearest tenth.
Step-by-step explanation:
I guess you need the distance between Diana and the bottom of the building.
tan 37 = 130 / d where d is this distance
d * tan 37 = 130
d = 130 / rtan 37
= 172.5158 feet