The explicit rule will be an = 1/3 + (n - 1)
An explicit formula for a sequenceGiven the following information
a1 = 1/3an = an-1 + 1a2 = a1 + 1
a2 = 4/3
For the third term
a3 = a2 + 1
a3 = 4/3 + 1
a3 = 7/3
The resulting seqence is 1/3, 4/3, 7/3
The sequence is an arithmetic sequence
a = 1/3
d = 1
The explicit rule will be an = 1/3 + (n - 1)
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The width of a rectangular lot is 100 feet less than the length. If the perimeter is 1000 feet, what
are the dimensions of the lot?
Answer:
length = 300 feet , width = 200 feet
Step-by-step explanation:
Let the length of the lot be x feet
Then the width shall be ( x - 100 ) feet
perimeter of rectangle formula: 2 ( length + width )1000 : 2 ( x + x - 100 )
1000 : 2 ( 2x - 100 )
1000 : 4x - 200
1000 + 200 : 4x
x : 1200 / 4
x : 300
Then the length is 300 feet
The width is ( x -100 ) = 300 - 100 = 200 feet
Answer:
W = 200 ft.L = 300 ft.Step-by-step explanation:
We know that:
W = L - 100 P = 1000 feetSolution:
P = 1000 feet=> L + W + L + W = 1000 ft.=> L + L - 100 + L + L - 100 = 1000 ft.=> 4L - 200 = 1000 ft.=> 4L = 1200 ft.=> L = 300 ft.=> W = L - 100 => W = 300 - 100=> W = 200 ft.Hence, the length and the width of the rectangular lot is 300 ft. and 200 ft. respectively.
PLZ HELP ME WITH NUMBERS 5 AND 6
ITS DUE TOMORROW!!!!!!!!
Answer:
5. 3,2 is not | 0,1 is | 9,-1 is not | 6,-2 is | 5,0 is not
6. The line is gonna be y= 1/3 - 2
Step-by-step explanation:
For 5 just plug in the numbers for x and y.
Sebastian buys a gift which costs £18.20 He pays with a £20 note. (a) How much change does he receive?
Answer:
1.80
Step-by-step explanation:
i think
QUESTION ON PIC‼️❓THX
Answer:
78.54 ft^2
Step-by-step explanation:
The area of a circle is pi*r^2
R is the radius, which is half the diameter, so 5.
5^2 is 25, and that times pi is about 78. 54. Because this is feet and area is squared, our unit is ft^2
Hope this helps!
88% of the fish in a pet store are freshwater fish. The pet store has 350 fish. How many of their fish are freshwater? You can use a ratio table to help solve.
Question 1 options:
47
262
308
Answer:
308
Step-by-step explanation:
i used my calculator and got 308
One minus the quotient of one and a number x.
Answer:
1 - 1/x
Step-by-step explanation:
1 - 1/x
Answer:
1 - 1/X
Step-by-step explanation:
Quotient of A and B can be expressed as
A/B
Hence, the expression is
1 - 1/X
What is the perimeter of a rectangle with length 8 and area=72 please show work
Answer:
Area = length x width. Solution : Area = 5 x 10. Area = 50 in². Area & Perimeter of a Rectangle calculator uses length and width of a rectangle, and calculates the perimeter, area and diagonal length of the rectangle. It is an online Geometry tool requires two length sides of a rectangle.
Step-by-step explanation:
Helppppp!!!14) There is a proportional relationship between grapefruit and
their cost. If Ana bought x grapefruit for $4, then how
many
grapefruit can Tracy buy if she has $12?
F 12x
G 3
H 2x
J 3x
Answer:
The answer is J, 3x.
Step-by-step explanation:
Hi. I will help. Work is shown below.
x grapefruit = $4
y grapefruit = $12
How do we get from 4 to 12? We multiply by 3. Since we multiply by 3 on one side, we have to do the same to the other side, so 3 times x. That's 3x. Therefore, the answer is 3x.
Please mark brainliest if possible and i hope you get a good grade on your homework ;)
I just need someone to convert those numbers to percentages. Thank you!
Answer:
Middle school High school
93% 36%
31% 54%
Step-by-step explanation:
this is over 100% btw
27 solid iron spheres,each of radius x cm are melted to form a sphere with radius y cm ,find the ratio of x:y
Radius of 1 solid iron sphere =r
→ Volume =34πr3
→ Volume of 27 solid iron
spheres =27x34πr3
→ 34πr'3=27x34πr3
r'3=2πr3
→r'=3r
(ii) Surface area =4+πr2
SA r'=4πr'2
=4π(3r)2=36πr2
S'S=36πr24πr2=91=1:9
IN A triangle has side lengths of (6v + 2) centimeters, (6v +5) centimeters, and (3w - 2) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
Answer:
3 rd choice
Step-by-step explanation:
perimeter = sum of all sides
= 6v+2+6v+5+3w-2= 12v+3w+5
15 is 60% of what number?
please hurry !
Answer:
15 is 60% of 25
Step-by-step explanation:
Hope it helps and have a great day! =D
~sunshine~
the probability that Olivia will make a free throw is 0.6, what is the probabilty that olivia makes the first free throw and then misses the second free throw
Answer:
1.2/2
Step-by-step explanation:
If the probability is 0.6 to make one of 2 then you just add those together getting 1.2
Hannah walked 0.75 of a mile between 7:35 am and 7:47 am. At what speed, in miles per hour, did she walk during this time interval?
State one assumption that had to determine Hannah's speed.
0.75 miles in 12 minutes
0.75 * 5 miles in one hour
15 / 4 miles in an hour
she walked at 3.75 mph
this assumes she walks at the same pace for the whole time
please give brainliest
Zacharias is using the quadratic formula to solve the equation 0 = –2x2 + 5x – 3. He begins by substituting as shown.
Quadratic formula: x = StartFraction negative b plus or minus StartRoot b squared minus 4 a c EndRoot Over 2 a EndFraction
Substitution:
What error did Zacharias make?
The –5 should be 5.
The 52 should be –52.
The 2 in the numerator should be –2.
The 2 in the denominator should be –2.
Answer: C.
Step-by-step explanation:
The 2 in the numerator should be –2.
In the queston given, we have a quadratic equation which we are asked to solve only with quadratic formula. The solution of the equation are 1 and 3/2
Data;
a = -2b = 5c = -3What is Quadratic formula?Quadratic formula is used to solve quadratic equations and it is given as
[tex]x = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}[/tex]
Let's substitute the values and solve the quadratic equation.
[tex]x = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}\\x = \frac{-5 +- \sqrt{5^2 - 4*(-2)*(-3)} }{2*(-2)} \\x = \frac{-5+-\sqrt{25-24} }{-4} \\x = \frac{-5+- \sqrt{1} }{-4} \\x = \frac{-5+1}{-4} \\x= \frac{-4}{-4} = 1\\or\\x = \frac{-5-1}{-4} \\x = \frac{3}{2}[/tex]
From the calculations above, the solutions to this equation are 1 or 3/2
Learn more on quadratic formula here;
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Find the value of the variable in the parallelogram.
Answer:
i have the answer
Step-by-step explanation:
Two angles are supplementary. The difference of the angle measures is 74°. Find the measure of each angle.
Answer:
The angles are 53° and 127°.
Step-by-step explanation:
Supplementary angles add up to 180°. So now that we know that, we must now use algebra.
I will use x and x-74 in my equation.
So the equation:
x+x-74=180.
=2x-74=180
2x=180+74
2x=254
x=127°
So the other angle is 127-74=53
The angles are 53 and 127.
Help math math math
write -4(7+ (-1)) as an equivalent expression.
Answer:
4(-7+ (1))
Step-by-step explanation:
how do I solve
graph y=In(x)
Answer:
replace the value of x but x cannot be 0 or a negative number
Step-by-step explanation:
for example:
replace x with 1===> y will be =0 cuz ln(1) = 0
replace x with 2==> y will be = 0.7 cuz ln(2)= 0.7
replace x with 3==> y will be = 1.1 cuz ln(3)= 1.1
replace x with 4==> y will be = 1.4 cuz ln(4)= 1.4
but the graph of ln(x) is famous
check it on the web
To help their patients, psychologists seek to control them, that is, to make the
patient conform to behavioral standards set up by the psychologist.
true or false ?
Answer: true
Step-by-step explanation:
Consider in the figure below.
The perpendicular bisectors of its sides are , , and . They meet at a single point .
(In other words, is the circumcenter of .)
Suppose , , and .
Find , , and .
Note that the figure is not drawn to scale.
Let's solve
in ∆GNK
GN=130GJ=94GK=GJ/2=47Apply pythagorean theorem
[tex]\\ \sf\longmapsto NK^2=GN^2-GK^2=130^2-47^2=16900-2209=14691[/tex]
[tex]\\ \sf\longmapsto NK=\sqrt{14691}[/tex]
[tex]\\ \sf\longmapsto NK=121(Approx)[/tex]
If you observe the traingle
GN=NJ=130[tex]\\ \sf\longmapsto LJ^2=JN^2-LN^2[/tex]
[tex]\\ \sf\longmapsto LJ^2=130^2-78^2[/tex]
[tex]\\ \sf\longmapsto LJ^2=16900-6084[/tex]
[tex]\\ \sf\longmapsto LJ^2=10816[/tex]
[tex]\\ \sf\longmapsto LJ=\sqrt{10816}[/tex]
[tex]\\ \sf\longmapsto LJ=104[/tex]
LH=LJ =104So
in ∆HNL
[tex]\\ \sf\longmapsto HN^2=104^2+78^2[/tex]
[tex]\\ \sf\longmapsto HN^2=10816+6084[/tex]
[tex]\\ \sf\longmapsto HN^2=16900[/tex]
[tex]\\ \sf\longmapsto HN=\sqrt{16900}[/tex]
[tex]\\ \sf\longmapsto HN=130[/tex]
Done .
PLZ HELP ILL MARK BRAINLEIST
How to graph this Inequality
Answer:
x ≤ 2
Step-by-step explanation:
3y - 2x = 9 slope intercept form
Answer:
[tex]y=\frac{2}{3}x+3[/tex]
Step-by-step explanation:
[tex]3y-2x=9\\\\3y=2x+9\\\\y=\frac{2}{3}x+3[/tex]
You are gifted a laptop upon your graduation that cost $3200. The laptop depreciates at a rate of 18% per year. After your second year of college you want to sell the laptop. How much can you reasonably sell it for?
Answer:
first off you were gifted a cruddy cheap laptop that was "free"
yo can sell it for around 900$ at a pawn shop and that high balling the price
Write an explicit function for the line that contains the points: (-7,5) and (6, -21).
[tex](\stackrel{x_1}{-7}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{-21}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-21}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{(-7)}}}\implies \cfrac{-26}{6+7}\implies \cfrac{-26}{13}\implies -2[/tex]
[tex]\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}{5}=\stackrel{m}{-2}(x-\stackrel{x_1}{(-7)}) \\\\\\ y-5=-2(x+7)\implies y-5=-2x-14\implies y=-2x-9[/tex]
I think it’s B. But I’m not sure
If it’s not can someone explain why?
Answer:
C
Step-by-step explanation:
| x | > 10
Has solutions that go infinitely high to the right and infinitely low to the left on the number line.
That is x > 10 or x < - 10
This is indicated on Graph C
PLSSSSSSS HELPPPP SOMEBODYYYY
Answer:
64%
Step-by-step explanation:
there are 16 people aged 21 or under out of a total of 25
[tex]\frac{16}{25} (100)=64[/tex] %
Hope this helps
Help please!!!!!!!!!