Make r the subject - picture underneath
Answer:
The answer is r = 6a / (5m² - 1).
Step-by-step explanation:
The steps are :
[tex]m = \sqrt{ \frac{6a + r}{5r} } [/tex]
[tex] {m}^{2} = \frac{6a + r}{5r} [/tex]
[tex]5r {m}^{2} = 6a + r[/tex]
[tex]5r {m}^{2} - r = 6a[/tex]
[tex]r(5 {m}^{2} - 1) = 6a[/tex]
[tex]r = \frac{6a}{5 {m}^{2} - 1 } [/tex]
Answer:
r = [tex]\frac{6a}{5m^2-1}[/tex]
Step-by-step explanation:
Given
m = [tex]\sqrt{\frac{6a+r}{5r} }[/tex] ( square both sides )
m² = [tex]\frac{6a+r}{5r}[/tex] ( multiply both sides by 5r )
5rm² = 6a + r ( subtract r from both sides )
5rm² - r = 6a ← factor out r from each term on the left side
r(5m² - 1) = 6a ← divide both sides by (5m² - 1)
r = [tex]\frac{6a}{5m^2-1}[/tex]
find the given questions
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Answer:
next term: 15an = n(n+1)/2Step-by-step explanation:
Each term is the previous term with the current term number added. The 5th term will be 5 + (4th term) = 5 + 10 = 15.
The next term is 15.
_____
The sequence of triangular numbers is given by the explicit formula ...
an = n(n+1)/2
__
Finding the Formula
The sequence of first differences is ...
3 -1 = 2
6 -3 = 3
10 -6 = 4
And the sequence of second differences is ...
3 -2 = 1
4 -3 = 1
These are constant, indicating the sequence is described by a polynomial function of 2nd degree.
There are several ways to find the coefficients of the quadratic function. One is to solve for them using a system of equations.
n = 1
a1 = 1 = a(1)^2 +b(1) + c
n = 2
a2 = 3 = a(2)^2 + b(2) +c
n = 3
a3 = 6 = a(3)^2 +b(3) +c
To solve, we can subtract each equation from the next:
a2 -a1 = (3) -(1) = a(4 -1) +b(2 -1) +c(1 -1)
2 = 3a +b
and
a3 -a2 = (6) -(3) = a(9 -4) +b(3 -2) +c(1 -1)
3 = 5a +b
Now we can subtract the first of these equation from the second:
(3) -(2) = a(5 -3) +b(1 -1) ⇒ 1 = 2a ⇒ a = 1/2
Then ...
2 = 3(1/2) +b
1/2 = b
1 = a + b + c ⇒ 1 = 1/2 + 1/2 + c ⇒ c = 0
So, the quadratic function describing the sequence of triangular numbers is ...
an = (1/2)(n^2 +n)
an = n(n+1)/2
C. No, Bretts claim is incorrect because the pythagorean can only be used with a right triangle
D. No, Bretts claim it is incorrect because the pythagorean theorem can only be used when the side length of a triangle are equal
CAN SOMEBODY PLEASE HELP
Answer:
C. The answer is C, as pythagorean theorem only works on right triangles.
Does anyone know the answer?
Answer:
6i+9j-15k
Step-by-step explanation:
multiply every thing by 3
Area of a Parallelogram
Answer:
P=28
Step-by-step explanation:
a=bh
24= 12x
24 divided by 12=2
12 +2+12+2= 28
20 large plastic bottles can be recycled to 1 fleece jacket.
How many fleece jackets can be made with 280 large plastic bottles?
Answer:
14 jackets
Step-by-step explanation:
20 plastic bottles=1 fleece jacket
280 plastic bottles=?
(280×1)÷20
=14
A headache medicine has a flush rate of 25% after 24hrs since a patient took it. James was prescribed a 35mg dose of the medicine. How much mg of the medicine will be in James' bloodstream at the start of day 6?
a
61.25mg
b
80.94mg
c
115.08mg
d
132.12mg
please help me,
11x13 = _ x 13+5 x 13
what is the number that goes in the blank
Answer:
14508 if I'm wrong I'm sorry
Representa en la recta numérica los siguientes grupos de números enteros e identifica entre ellos cual es el menor y el mayor. a). (-8, -6, -7, 3) b). (-9, -5, 2, 5,9) c). (-1, -8, - 5, -3, 1) d). (12,-5,0,-1,-10)
Answer:
sorry but i don't understand.
Step-by-step explanation:
A man is 32 years older than his son. Ten years ago he was three times as old as his son. find the present age of each?
What is the solution to the following system of linear equations?
Y=-31-9
2x + 3y = -13
A. (-3,-2)
B. (-3,0)
C. (2,3)
D. (-2,-3)
Answer:
x=107/2, y=-40. (107/2, -40).
Step-by-step explanation:
y=-31-9=-40
2x+3(-40)=-13
2x-120=-13
2x=-13+120
2x=107
x=107/2
What is 591x37+125-16
Instant brainliest to HXH fans, proof if you name the 6 most important characters and the full name of the show
Answer:
Leorio, Gon, Killua, Kurapika, Hisoka, and Ging
Step-by-step explanation
Answer:
It's 21976 Gon! >:3
well- in my opinion i think its u, lol me killua, Leorio //side note: ofc the doctor//coOk kURAPIKA, HISOKA- //bUNGee gUM// i dont gaf about my brother illumi so the lost father //gINg// is it >:3
Step-by-step explanation:
:3
Padma buys a coat for $32.95 and a pair of shoes for $16.45. She is charged 5% sales tax.
What is the total cost of Padma’s purchases?
A. $47.81
B. $51.87
C. $53.46
D. $57.92
Find the area of a circle with radius 36 cm. Use = 3.14.
A.226.08 cm
B.2,034. 72 cm?
C.4069. 44 cm
D.8,138.88 cm?
Answer:
4071.5cm²
i'm sorry if this is wrong is it supposed to be the EXACT number?.
[Help asap, will mark brainliest] In the figure, line a is parallel to line b.
Answer:
m <5 = 65°
m<8 = 115°
Step-by-step explanation:
m<2= m<5 = 65° (vertically opposite angles are equal)
m<5 + m<4 = 180 (co-int angles, parallel lines)
65+ m<4 =180
m<4 = 115°
Therefore
m<4=m<8 = 115° (vertically opposite angles are equal)
Answer:
m<5 = 65 degrees m<8 = 115 degrees
Step-by-step explanation:
m<2 = 65 degrees
m<2 = m<5 so
m<5 = 65 degrees
A line is 180 degrees, so
180 degrees - 65 degrees = 115 degrees
m<8 = 115 degrees
Select all the true statements.
(1048 – 876) ÷ 4 is four times as large as (1048 – 876).
(1048 – 876) + 24 is 24 times as large as (1048 – 876).
(1048 – 876) – 17 is seventeen less than (1048 – 876).
1/2 × (1048 – 876) is half as large as (1048 – 876).
(1048 – 876) × 4 is four more than (1048 – 876).
Answer:
C and D are are the true statements
Guthrie made the input-output table shown below.
Input (x)
1
2
3
Output (v)
4
7
10
13
4
Which of the following equations is true for all values in Guthrie's input-output table?
AI +3 = y
B :+7=y
C 3x+1=y
D) 4.1 - 1=y
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Answer:
C 3x +1 = y
Step-by-step explanation:
x-values increase by 1 from row to row.
y-values increase by 3 from row to row.
The slope of the linear function is the ratio of the y-increase to the x-increase:
m = ∆y/∆x = 3/1 = 3
The only offered choice with an x-coefficient of 3 is ...
C 3x +1 = y
__
If you check this against the table entries, you find it fits.
3(1) +1 = 4
3(2) +1 = 7
and so on.
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
192
Step-by-step explanation:
8²+x²=16²
x=y
[tex]x = \sqrt{192} [/tex]
I really need help with this one, I've been asking the same question like three or four different kinds. Can someone please help me I can't figure it out
Answer:
140
Step-by-step explanation:
The sum of one interior angle and one exterior angle is 180
180-40=140 so an interior angle of the regular polygon would be equal to 140
If XY is 4 m and WZ is 9 m, the exact volume of the cone is ___π square meters.
Answer:
[tex] 48\pi \: {m}^{3} [/tex]
Step-by-step explanation:
Radius of the cone (r) = XY = 4 m
Height of the cone (h) = WZ = 9 m
[tex]V_{cone} = \frac{1}{3} \pi {r}^{2}h \\ \\ = \frac{1}{ \cancel3} \pi {(4)}^{2}( \cancel9) \: \: \red{ \bold 3 }\\ \\= \pi \times 16 \times 3 \\ \\\purple {\bold {V_{cone} = 48\pi \: {m}^{3}}} [/tex]
Write the word sentence as an inequality. Then solve the inequality.
The product of −2 and a number x is greater than 30.
Step-by-step explanation:
divide by 2 then reverse
Holly was asked to estimate the solution of the system of equations. She incorrectly said the solution is (-5,-2.5) . Estimate the solution of the system by graphing the equations. What mistake might Holly have made?
y-2x=0
y=6x+10
Answer:
answer is 10++; huuj vidi ogivj viici
Find the value of x in the triangle shown below.
2
7
x
Answer:
[tex] {2}^{2} + {x}^{2} = {7}^{2} \\ {x}^{2} = 49 - 4 \\ x = \sqrt{45} \\ x = 6.708[/tex]
Answer:
By using Pythagoras theorem we get
H²=p²+b²
7²=2²+x²
X²=7²-2²
X=√(49-4)=√45=3√5
Step-by-step explanation:
In Ms. Perron’s class, 25% of the class are boys. There are 6 boys in the class. What is the total number of students in Ms. Perron’s class?
Answer:
24
Step-by-step explanation:
25%= 1/4 of the class
1/4 *x=6
x=24
Apostrophes are used to indicate __________.
long quotations
lists
appositives
possession
possessions because lists use commas and appositives replace nouns.
---
hope it helps
Answer:
DDDDDD possession
Step-by-step explanation:
a store bought an aquarium at a cost of $60 and marked it up 50%. Later on the store marked it down 30%. What was the discount price?
Answer:
$27
Step-by-step explanation:
0.50 * 60 = 30
60 + 30 = 90
0.30 * 90 = 27
On a map, 1 inch equals 15 miles. Two cities are 3 inches apart on the map. What is the actual distance between the cities?
Actual distance = distance on map x the scale:
3 inches x 15 miles per inch = 45 actual miles.
At a sale, suits were sold for $72 each. This price was 45% of a suit's original price. How much did a suit originally cost?
Answer:
$160
Step-by-step explanation:
Let the original cost of suit be x
If the suits were sold for $72 each and this price was 45% of a suit's original price, then;
72 = 45% of x
72 = 0.45x
x = 72/0.45
x = 160
Hence the original price of the suit is $160
Answer:
160
Step-by-step explanation:
got it correct ig lol
The first time Jane went to the fitness center she exercised for 20mins. She adds 10 mins to her exercise program every other day after that. how many days will it take Jane to build her exercise program every other day after that. how may days will it take Jane to build her exercise program up to an hour in length?
Answer:
9 days
Step-by-step explanation:
Day 1 20 min
Day 2 20 min
Day 3 30 min
Day 4 30min
Day 5 40 min
Day 6 40 min
Day 7 50 min
Day 8 50 min
Day 9 60 min
The author also uses _________ to describe the building and to give the reader a sense of "forbidding" or imposing fear.
repetition
imagery
irony
personification
Answer:
Imagery
How:
By describing the building through imagery, explaining it's appearance/past/history/story (and assuming it's bad), gives the listener a feeling of "forbidding" or imposing fear.
DEFINITIONS:Forbidding: Unfriendly or threatening in appearance.
Imposing fear: Someone noticeably feared by something/someone.