Answer:
4 and 5
Step-by-step explanation:
write an equation of the line that passes through the given points (3,1) (0,10)
Answer:
y = -3x + 10
Step-by-step explanation:
10-1/0-3 = -3
y = -3x + b
1 = -3(3) + b
1 = -9 + b
10 = b
check your answer:
10 = -3(0) + 10
10 = 10
b should be 10
12b2 - 27 = 0
what is the solution
12b² - 27 = 0 / : 3
4b² - 9 = 0
4b² = 9 / : 4
b² = 2,25
b = 1,5 and b = -1,5
a=960 rounded to the nearest 10
b=89.0 rounded to 1 DP
Find the minimum (to 2 DP) of a÷b
Step-by-step explanation:
a÷b=960÷89=10.78651685=10.79 or 17.8
Ram gives his son 100 naira on one day, 50 naira on the second day, 25 naira on the third day and so on. What will be the total amount given by Ram to his son starting from the first day, if he lives forever?
Answer:
175+(25*∞d)
Step-by-step explanation:
So d will represent the days which we don't know yet
100 + 50 + 25 + 25d
175+25d
and in this case it will be infinite the amount of days so
175+(25*∞d)
The total amount given by Ram to his son starting from the first day, if he lives forever is 200 nairas.
Given,
Ram gives his son 100 nairas on one day, 50 nairas on the second day, 25 nairas on the third day, and so on.
We need to find what will be the total amount given by Ram to his son starting from the first day if he lives forever.
What is a geometric sequence?It is a sequence where each term after the first term is found by multiplying the previous terms by a common ratio.
Example:
2, 4, 8, 16, 32
Common ratio = 4/2 = 8/4 = 16/8 = 2
The sum of the nth term of a geometric sequence is given by:
S = a [ [tex]r^{n}[/tex]- 1 ) / ( r - 1 ) ] if r > 1 ______(1)
S = a [ 1 - [tex]r^{n}[/tex] ) / ( 1 - r ) ] if r < 1 _______(2)
We see that,
Ram gives his son 100 nairas on one day, 50 nairas on the second day, 25 nairas on the third day, and so on.
This is a geometric sequence.
Find the sequence.
100, 50, 25, ,,,,,,, ∞
Here,
The common ratio is:
r = 50 / 100 = 25/50 = 1/2
i.e r < 1
Find the sum of at ∞.
Now,
a = 100
r = 1/2
n = ∞
From (2)
S = a [ 1 - [tex]r^{n}[/tex] ) / ( 1 - r ) ]
S = 100 [ 1 - 0 ] / (1 - 0.5 ) ]
S = 100 [ 1 / 0.5 ]
S = 100 / 0.5
S = 200
Thus the total amount given by Ram to his son starting from the first day, if he lives forever is 200 nairas.
Learn more about geometric sequences here:
https://brainly.com/question/11266123
#SPJ2
Question 16
What is the slope of a line passing through (2, 2) and (3,5)?
5 because of slope equation
a car accelerates from 25 km/hr to 55 km/hr in 30 seconds. what is its accelerates ?
Here's link to the answer:
tinyurl.com/wpazsebu
james bought an ipad for $450 his friends carl buys the same one for 12% off how much did carl pay
Answer:
$365.99
Step-by-step explanation:
$450 - 12% = $365.99
Given the equation of the line -6x + 2y = 10
Answer:
x= 1 /3 y+ −5 /3
y=3x+5
Step-by-step explanation:
brainliest?
Answer:
Give my man brainliest
Step-by-step explanation:
Don't report this
Order the following numbers from least to greatest : 2.67 5.28 1.73 4.92 2.56
Answer:
is this helpful i hope it is
John runs 6.5 miles in 30 minutes. If he continues at this rate for 1 hours, determine his rate of change .
Answer: 13 miles
Step-by-step explanation:
30 min plue 30 min is 1 hour
if he runs 6.5 in 30 you just have to add 6.5 and 6.5 which equals 13
Convert the equation into standard form.
25x2 – 9y2 + 200x + 18y + 166 = 0
StartFraction (x minus 8) squared Over 9 EndFraction minus StartFraction (y + 2) squared Over 25 EndFraction = 1
It's D on edge
Answer:
d
Step-by-step explanation:
it says it in the question lol
Answer:
The answe is D on edge
Step-by-step explanation:
A train travels 20 miles in 15 minutes. how far will it travel in an hour and a half
Answer:
120
Step-by-step explanation:
One hour is 90 minutes 90/15=6 then you take 20X6=120miles
Answer:
It will travel 120 miles
Step-by-step explanation:
First, convert the hour and half to minutes: 90 minutes.
Then divide 90 with 15: 6
Then since there are 6 sections of 15 minutes, you would multiply 20 times 6 which is 120.
Please hurry this is 7th grade hon
Answer:
1. place the circle on -1
2. open circle
3. Left
Step-by-step explanation:
There are 12 girls at a slumber party. 2/3 of the girls brought a sleeping bag. How many girls brought a sleeping bag?
Answer:
8 girlies
Step-by-step explanation:
12/3=4
4x2=8
Answer:
8
Step-by-step explanation:
since there are 12 girls we have an x amount of girls who brought sleeping bags and 12-x for those who didn't. so
x/12=2/3
multiply both sides by 12
(x/12)12=(2/3)12
x=8
Hope that helps :)
HELP PLEASE!! need this asap.
y = 4x + 3
y = -x - 2
Answer:pls check out the image. The answer is in the image ans hope this helps and can u give me brainliest
Step-by-step explanation:
El costo de un teléfono celular con un descuento del 30% sobre el precio de lista, está dado por p(x)= x-0.30x. El impuesto a pagar por un artículo que cuesta x pesos está dado por i(x)= 0.15x.
a) Hallar e interpretar i(p(x))
b) ¿cuánto pagarás por un teléfono cuyo precio de lista es de $1,200?
PLISS ANSWER :C DONT ANSWER IF YDK THAnKSSS
*also pls look at both images :)*
Answer:
First image: (6, -1)
2nd image: y = 63
Explanation:
1)
2x + y = 11
1/2x - 5y = 8
y = -2x + 11
1/2x - 5(-2x + 11) = 8
1/2x + 10x - 55 = 8
10.5x - 55 = 8
10.5x = 63
x = 6
2x + y = 11
2(6) + y = 11
12 + y = 11
y = -1
(x , y) = (6, -1)
2)
1/4(8y - 4.8) = 2 (0.9y + 5.4) + 3/5
2y - 1.2 = 1.8y + 10.8 + 0.6
0.2y - 1.2 = 11.4
0.2y = 12.6
y = 63
Justin went out to lunch. His bill was $3.18. If he gave the waitress $10.00, how much change should he receive? A. $7.82 B. $5.82 C. $6.82 D.
A organização de um novo campeonato de futebol recebereu inscrição de 14 equipes.Se cada equipe tinha 12 jogadores,quantos atletas se inscreveram?
Answer:
168 jugadores.
Step-by-step explanation:
De la pregunta anterior:
Tenemos 14 equipos
1 equipo = 12 jugadores
14 equipos = x jugadores
Multiplicar cruzada
1 equipo × x jugadores = 14 equipos × 12 jugadores
x jugadores = 14 equipos × 12 jugadores / 1 equipo
x jugadores = 168 jugadores
Por tanto, se unirán 168 jugadores.
pls help! ill give brainless to the best answer !!
what is 25% of 75? show your work.
Answer:
18.75
Step-by-step explanation:
25% of 75 =
0.25 x 75 =
18.75
Hope that helps!
Answer:
18.75
Step-by-step explanation: I don't really know what work to show it was all mental
A shop has a slae that offers 20% off all prices On the final day they reduce all the sale prices by 25% Linz buys a radio on the final day Work out the overall percentage reduction on the price of the radio
Answer:
40%
Step-by-step explanation:
We would use an example
assume the price of the radio is 100
After the initial price reduction, it would be worth (100 - 20%) 80% of the price
0.8 x 100 = 80
After second price reduction it would be worth (100 - 25% ) 75% of the price
0.75 x 80 = 60
Price change = (new price after all the discounts / original price) - 1
(60/100) - 1 = -0.4
what is the exact value of cos5pie/12
Answer:
Exact Form: −e12
Decimal Form: −0.22652348…
Step-by-step explanation:
write a unit rate for 25 pounds in 10 weeks
Step-by-step explanation:
Answer:
= 2.5 Pounds per Week
Showing Work
This is a fraction equal to
25 Pounds ÷ 10 Weeks
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 10
25 Pounds ÷ 10
10 Weeks ÷ 10
=
2.5 Pounds÷1 Week
=
2.5 Pounds
__________
Week
= 2.5 Pounds per Week
Triangle JKL is shown below.
K
24
L
28
Which equation should be used to find the
length of JK?
Find the smallest value of m such that the LCM of m and 34 is 374.
Answer:
11
first you use a number tree
34 374
/\ /\
2 17 2 187
/\
11 17
express the numbers in prime factors
374=2×11×17
34 =2×17
in finding LCM you use the highest prime factors in this case the highest prime factors are 2, 11 and 17
So m factors are 2 and 11
which means m is 2×11=22
22 in its smallest form is 11
Plz, answer this question plz!
Answer:
the second option im pretty sure
Answer:
4/48. I don't know for sure, but I think B is the correct answer
What does S in Math means?
Step-by-step explanation:
subtract
i think this
Help, Help, Please
[tex] \sf find \: the \: value \: of \: \theta \: when \: \theta \: is \: acute\: angle[/tex]
[tex] \sf \cos^{2}(\theta) - \sin^{2}(\theta) =2-5 \cos(\theta) [/tex]
[tex]\text{note:explanation is a must}[/tex]
Answer:
θ = [tex]\frac{\pi }{3}[/tex] (60° )
Step-by-step explanation:
Using the identity
sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x
Given
cos²θ - sin²θ = 2 - 5cosθ
cos²θ - (1 - cos²θ) = 2 - 5cosθ
cos²θ - 1 + cos²θ = 2 - 5cosθ
2cos²θ - 1 = 2 - 5cosθ ( subtract 2 - 5cosθ from both sides )
2cos²θ + 5cosθ - 3 = 0 ← in standard form
(cosθ + 3)(2cosθ - 1) = 0 ← in factored form
Equate each factor to zero and solve for θ
cosθ + 3 = 0
cosθ = - 3 ← not possible as - 1 ≤ cosθ ≤ 1
2cosθ - 1 = 0
cosθ = [tex]\frac{1}{2}[/tex] , so
θ = [tex]cos^{-1}[/tex] ([tex]\frac{1}{2}[/tex] ) = [tex]\frac{\pi }{3}[/tex] ( or 60° )
Answer:
[tex] \huge \boxed{ \boxed{\blue{ { \theta = 60}^{ \circ} }}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:trigonometryPEMDASlet's solve:[tex] \sf \: rewrite \: \sin ^{2} ( \theta) \: as \: 1 - \cos ^{2} ( \theta) : \\ \sf \implies \: \cos ^{2} ( \theta) - (1 - \cos ^{2} ( \theta)) = 2 - 5 \cos( \theta) [/tex][tex] \sf \: remove \: parentheses \: and \: change \: its \: sign : \\ \sf \implies \: \cos ^{2} ( \theta) - 1 + \cos ^{2} ( \theta)) = 2 - 5 \cos( \theta) [/tex][tex] \sf \: add : \\ \sf \implies \: 2\cos ^{2} ( \theta) - 1 = 2 - 5 \cos( \theta) [/tex][tex] \sf \: move \: left \: hand \: sides \: expression \: to \: right \: hand \: sides \: : \\ \sf \implies \: 2\cos ^{2} ( \theta) + 5 \cos( \theta) - 1 -2 = 0[/tex][tex] \sf \: rewrite \: 5\cos( \theta) \: as \: 6 \cos( \theta) - \cos( \theta) : \\ \sf \implies \: 2\cos ^{2} ( \theta) + 6 \cos( \theta) - \cos( \theta) - 3 = 0[/tex][tex] \sf \:factor \: out \: 2 \cos( \theta) \: and \: - 1 : \\ \sf \implies \: 2\cos ( \theta)( \cos( \theta) + 3 ) -1( \cos( \theta) + 3) = 0[/tex][tex] \sf \: group: \\ \sf \implies \: (2\cos( \theta) - 1) ( \cos( \theta) + 3 ) = 0[/tex][tex] \sf \: rewrite \: as \: two \: seperate \: equation: \\ \sf \implies \: \begin{cases}2\cos( \theta) - 1 = 0\\ \cos( \theta) + 3 = 0 \end{cases} [/tex][tex]\sf add \: 1 \: to \: the\: first \: equation \: and \: substract \: 3 \: from \: the \: second \: equation: \\ \sf \implies \: \begin{cases}2\cos( \theta) = 1\\ \cos( \theta) = - 3 \end{cases} [/tex][tex] \sf the \: second \: eqution \: is \: false \: \\ \sf because \: - 1 \leqslant \cos( \theta) \leqslant 1 \: \\ \sf but \: we \: can \: still \: work \: with \: the \: second \: equation[/tex]
[tex] \sf substract \: both \: sides \: by \: 2 : \\ \implies\frac{ 2\cos( \theta) }{2} = \frac{1}{2} \\ \implies\cos( \theta) = \frac{1}{2} \\ \therefore \: \theta \: = {60}^{ \circ} [/tex]may i get someone who can answer this question. Ruth has 12 feet of ribbon.
She uses 7 feet of it for a craft project and gives 28 inches of it to her sister.
How many inches of ribbon does she have left?
Answer:
2ft 8in
Step-by-step explanation:
Text if you want explanation. Welcome❤
HELP ME!!! I WILL GIVE BRAINLIEST AND 15 POINTS!!!!!!!!
Evaluate each expression for n = 3, p = 10.5, t = -2, y = 4.
Solve
1.) 3n + 2t
2.) ny - 6 + p