Answer:
Explicit rule, because you can find the 40th term directly using the explicit rule. You would need to find the first 39 terms before finding the 40th terms using recursive rule.
hope this helps...
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We know that:
9x + 4 and 3x + 16 are equivalent because of alternate inner angles.This means that:
[tex]9x + 4 = 3x + 16[/tex]Step-by step calculations:
Subtract 3x both sides.
[tex]9x + 4 = 3x + 16[/tex]⇒ [tex]9x - 3x + 4 = 3x - 3x + 16[/tex]⇒ [tex]6x + 4 = 16[/tex]Subtract 4 both sides.
⇒ [tex]6x + 4 = 16[/tex]⇒ [tex]6x + 4 - 4 = 16 - 4[/tex]⇒ [tex]6x = 12[/tex]Divide 6 both sides.
⇒ [tex]\frac{6x}{6} = \frac{12}{6}[/tex]⇒ [tex]x = 2[/tex]*Note that:-
9x+4= 3x+16 [Alternate interior angles]Using this equation we will solve for x and then find each angle...
[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]
[tex]9x + 4 = 3x + 16 \\ 9x + 4 - 3x = 16 \\ 9x - 3x = 16 - 4 \\ 6x = 12 \\ x = 2[/tex]
Now,[tex]\large{|\underline{\mathsf{\red{1}\blue{ ^{s} }\orange{^{t} }\pink{ \: }\blue{a}\purple{n}\green{g}\red{l}\blue{e}\orange{ \: }\green{↯}\red{}\purple{}\pink{}}}}[/tex]
[tex] \pmb{9x + 4} \\ \pmb{9 \times 2 + 4} \\ \pmb{18 + 4} \\ \boxed{ \tt \: ∠1 = 22 \degree }[/tex]
[tex]\large{|\underline{\mathsf{\red{2}\blue{ ^{n} }\orange{^{d} }\pink{ \: }\blue{a}\purple{n}\green{g}\red{l}\blue{e}\orange{ \: }\green{↯}\red{}\purple{}\pink{}}}}[/tex]
[tex] \pmb{3x + 16} \\ \pmb{3 \times 2 + 16} \\ \pmb{6 + 16} \\ \boxed{ \tt \: ∠2 = 22 \degree }[/tex]
What value for x is the solution to the following equation
10+2x-4
Answer:
-3
Step-by-step explanation:
10+2X-4= 0
2X= -10 + 4
2X = -6
X = -3
Fiona can type 60 words a minute. How many words can be typed in 10.5 minutes
Answer:
630
Step-by-step explanation:
Answer:
630
Step-by-step explanation:
1 minute = 60 words multiply everything by 10.5
10.5 minutes = 10.5(60) = 630 words
Olivia is making bead bracelets for her friends. She can make 3 bracelets in 15 minutes.Find the constant of proportionality in terms of minutes per bracelet.
Answer:
The constant of proportionality is 5 minutes per bracelet
Step-by-step explanation:
If x and y are proportion, then y = k x, where
k is the constant of proportionalityWe can find k by dividing y by x ⇒ k = [tex]\frac{y}{x}[/tex]Let us solve our question
∵ Olivia is making bead bracelets for her friends
∵ She can make 3 bracelets in 15 minutes
We need to find the constant of proportionality in terms of minutes per bracelet, which means y represents the minutes and x represents the bracelet
∴ y = the time in minutes
∴ x = the number of bracelets
∵ y proportion with x
∴ k = [tex]\frac{y}{x}[/tex]
∵ y = 15 and x = 3
∴ k = [tex]\frac{15}{3}[/tex]
∴ k = 5
∴ The constant of proportionality is 5 minutes per bracelet
find the percentage increase in area of a triangle if its each side is doubled
First of all, to find the area of a triangle you multiply the base * height and divide the result by two (2).
Let's use a triangle which sides are all 2 inches. To find the area, you do 2*2/2 which equals 2.
Now, double each side and each side of the triangle is now 4.
We do 4*4/2 which now equals 8.
The percentage increase from 2 --> 8 is 600%.
The percentage of the old area to the new area is 800%
ANSWER: 600%
IN
-
Change this fraction to a decimal:
9
Answer: 9 over 10
Step-by-step explanation:
A video game that usually costs $30.65 is marked down 60%. Kelvin determined that the new price of the game would be $18.39. Look at Kelvin’s work and find his error.
which statement best represents the relationship in the scatterplot below?
Answer:
C. As the children's weight increased, their height decreased
Step-by-step explanation:
This is your answer becuse you can see here that the height is increasing as the weight is increasing
Thanks!
Mark me brainliest!
Examplelt: A wall of length 10 m was to be built across an open ground. The height of the wall is 4 m and thickness of the wall is 24 cm. If this wall is to be built up with bricks whose dimensions are 24 cm x 12 cm x 8 cm, how many bricks would be required?
Answer :
4167 bricks.Explanation :
Since the wall with all its bricks makes up the space occupied by it, we need to find the volume of the wall, which is nothing but a cuboid.
Here,
[tex]{\qquad \dashrightarrow{ \sf{Length=10 \: m=1000 \: cm}}}[/tex]
[tex]\qquad \dashrightarrow{ \sf{Thickness=24 \: cm}}[/tex]
[tex]\qquad \dashrightarrow{ \sf{Height=4 m=400 \: cm}}[/tex]
Therefore,
[tex]{\qquad \dashrightarrow{ \bf{Volume \: of \: the \: wall = length \times breadth \times height}}}[/tex]
[tex]{\qquad \dashrightarrow{ \sf{Volume \: of \: the \: wall = 1000 \times 24 \times 400 \: {cm}^{3} }}}[/tex]
Now, each brick is a cuboid with Length = 24 cm, Breadth = 12 cm and height = 8 cm.
So,
[tex]{\qquad \dashrightarrow{ \bf{Volume \: of \: each \: brick = length \times breadth \times height}}}[/tex]
[tex]{\qquad \dashrightarrow{ \sf{Volume \: of \: each \: brick = 24 \times 12 \times 8 \: {cm}^{3} }}}[/tex]
So,
[tex]{\qquad \dashrightarrow{ \bf{Volume \: of \: bricks \: required = \dfrac{volume \: of \: the \: wall}{volume \: of \: each \: brick} }}}[/tex]
[tex]{\qquad \dashrightarrow{ \sf{Volume \: of \: bricks \: required = \dfrac{1000 \times 24 \times 400}{24 \times 13 \times 8} }}}[/tex]
[tex]{\qquad \dashrightarrow{ \sf{Volume \: of \: bricks \: required = \bf \: 4166.6} }}[/tex]
Therefore,
The wall requires 4167 bricks.A rental car company charges $77.50 per day to rent a car and $0.10 for every mile driven. Sydney wants to rent a car, knowing that:
Answer:
Step-by-step explanation:
answer: owen can afford to keep and drive the car for 4 days.
The total owing on the car rental is R(d) = ($77.25/day)d + ($0.12/mile)m ≤ $330. Substitute 1 for d (that is, the rental is for 1 day) and 175 for m:
R(d) = ($77.25/day)(d days) + ($0.12/mile)(175 miles) ≤ $330
= $77.25d + $21 ≤ $330
This simplifies to $77.25d + $21 ≤ $330, or
$77.25d ≤ $309
Solving this by dividing both sides of the above equation by $77.25, we get
d = ($309)/($77.25) = 4
Find the measure of the missing angles
Answer:
b=119, and c=119
Step-by-step explanation:
this is because b+61 equal 180 degrees and b and c are congruent angles
Gordan was thinking of a number. Gordan adds 2 then divides by 3 to get an answer of 1. What was the original answer?
Answer:
1
Step-by-step explanation:
x is the number
x+2 is divided by 3
x+2 ÷ 3 =1
Multiple 3 on both sides
x=1
Which quadratic function is best represented by this graph?
A.) f(x)=x^2−6x−8
B.) f(x)=x^2−6x+8
C.) f(x)=x^2+8
D.) f(x)=x^2+6x+8
? Pick one graph
Step-by-step explanation:
There's no graph visible
f(x) is the same as y
Hope this helps!
omg help pls and tysm :)
Answer:
150 why? is 4 times xd 150×4 is 600 that's it
Answer:
150
Step-by-step explanation:
35% of the tickets sold at a school carnival were early-admission tickets. If the school sold 40 tickets in all, how many early-admission tickets did it sell?
Answer:14
Step-by-step explanation:440 X .35 = 114. You have tto Turn 35% into a decimal. Move over 2 times now you get .35
Given that the area of a rectangle is 4 2/3 in and the is 1 1/2 find the width
Answer:
3 1/9
Step-by-step explanation:
divide 4 2/3 and 1 1/2 together to find width
this is my question. i’m terrible at this.
Answer:
what is this question...
The function f(x)=x^2+2x+6 is graphed in the xy-coordinate plane shown .Based on the graph of the function ,which of the following statements are true select all that apply
Unfortunately your graph is wrong(Correct one is attached)
Correct ones are
f is increasing while x<0 f is increasing while 0<x<1f is increasing while 1<x<3Note
if you make the function y=-x^2+2x+6 then the rest two are correct
Answer:
f is increasing on the interval x < 0
f is increasing on the interval 0 < x < 1
Step-by-step explanation:
From inspection of the graph, the curve is increasing when x < 1 and the curve is decreasing when x > 1
Therefore, the following are true statements:
f is increasing on the interval x < 0f is increasing on the interval 0 < x < 1The right answer of this question is B or D
Find a and b if the point p(6,0) and Q(3,2) lie on the graph of ax+ by=12
to get the equation of any straight line we only need two points off of it, hmmm let's use P and Q here and then let's set the equation in standard form, that is
standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
[tex](\stackrel{x_1}{6}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{6}}}\implies \cfrac{2}{-3}\implies -\cfrac{2}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{-\cfrac{2}{3}}(x-\stackrel{x_1}{6})[/tex]
[tex]\stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3(y-0)~~ = ~~3\left( -\cfrac{2}{3}(x-6) \right)}\implies 3y=-2(x-6) \\\\\\ 3y=-2x+12 \implies \stackrel{a}{2} x+\stackrel{b}{3} y=12[/tex]
HELP??????? I DO NOT UNDERSTAND
Answer:
y ≥ 1, (meaning y can be greater than 1/infinite numbers or just 1)
x ≥ 2, (meaning x can be greater than 2/infinite numbers or just 2)
Solve for x in the following numbers
4x squared + 1 =4x
Answer: x = 1/2
Step-by-step explanation: Set it equal to zero by subtracting 4x from both sides:
4x² - 4x + 1 = 0
Now, factor it:
(2x - 1)(2x - 1)
Set each one equal to zero, but since they’re the same, you only need to do it once:
2x - 1 = 0
Add 1 to both sides:
2x = 1
Divide both sides by 2:
x = 1/2
Hope this helps!
Answer:
x=1/2
Step-by-step explanation:
4x^2+1=4x
or,4x^2-4x+1=0
or,(2x)^2 - 2*2*x+(1)^2 =0
or,(2x-1)^2 =0
or,2x-1 =0
or,2x=1
Therefore, x=1/2
2x-8+3x+2=4x+10+3x-6 what is X equaled too?
answer and explain plz i am lost!!!
HELP ASAP
Answer:
Step-by-step explanation:
2x-8+3x+2=4x+10+3x-6
5x-6=7x+4
minus 7x from both sides, add 6 to both dies
-2x=10
divide by -2
x=-5
Please help asap
find 140% of 82
Answer:
114.8
Step-by-step explanation:
What is the following product?
3V2(5V6-7V3)
Answer:
st-2f u
Step-by-step explanation:
so the essay 2+1=2
HELP
ASAP
!!!!!!!!!!!!
Answer:
Step-by-step explanation:
Area of the figure = area of semicircle + area of rectangle
Rectangle:
length = 11.25 in
width = 7.5 in
Area of rectangle = length * width
= 11.25 * 7.5
= 84.375 in²
Semicircle:
diameter = width of the rectangle
d = 7.5 in
r = diameter 2 = 7.5/2 = 3.75 in
[tex]Area \ of \ circle = \dfrac{1}{2}\pi r^{2}\\\\[/tex]
[tex]=\dfrac{1}{2}*3.14*3.75*3.75\\\\= 22.08 \ in^{2}[/tex]
Area of the figure = 84.375 + 22.08
= 106.455
= 106.46 in²
You have a new pool and want to know its volume. The pool is 5 feet deep and has a radius of 7 feet. About how much water can the pool hold?
Answer:
Vol = 769.7 cubic ft
Step-by-step explanation:
"radius" is the distance from the center of a circle to the circle. So let's assume your pool is a circular pool with radius = 7ft and height = 5ft. It's a cylinder.
Volume of a cylinder:
Vol =
Base area•height
= pi•r^2 • h
= pi(7)^2•5
= pi•49•5
= pi • 245
= 245pi
Now, 245pi cubic ft is a perfectly good answer. But your teacher/text/class, may be asking for a decimal approximation.
If you use calculator pi (that's a lot of decimals) you get
Vol ~= 769.69 (to the hundredths place)
Vol ~= 769.7(to the tenths place)
If you were told to use 3.14 for pi
then you get
Vol ~= 769.3 cubic ft
But if you were told to convert units to gallons or liters there are more calculations (message, i can edit in these)
10^7/10^5 as a single exponent
Luigi is an Urban Planner. As an independent contractor he charges a $140 fee plus $25 per hour for each contract with the city.
Write a function to represent this scenario where y represents the total amount he changes for a project and x represents the number of hours worked on a project.
(Please also tell me the "Amount earned for 10. hours of work")
PLEASE ANSWER THIS I NEED HELP!!!
The total amount earned in 10 hours of work is $390.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Given that, an independent contractor he charges a $140 fee plus $25 per hour for each contract with the city.
Here, y represents the total amount he changes for a project and x represents the number of hours worked on a project.
Now, y=140+25x
Amount earned for 10 hours of work is
y=140+25×10
= 140+250
= $390
Therefore, the total amount earned in 10 hours of work is $390.
To learn more about the function visit:
https://brainly.com/question/28303908.
#SPJ3
Solve forx in the literal equation -16 = xy + z.
Plzzzz help
Answer:
X=[tex]\frac{-16-Z}{Y}[/tex]
Step-by-step explanation:
XY+Z=-16
Subtract both sides by Z
XY=-16-Z
Divide both sides by Y
X=[tex]\frac{-16-Z}{Y}[/tex]