Create the expression from the data:
The gallon of paint begins as a whole: 8/8
Then he removes 5/8 gallons of paint from the can: - 5/8
Then he adds 5/8 of a different colored paint to the can: + 5/8
Now combine:
8 / 8 - 5 / 8 + 5 / 8 = 8/8
The paint can is full, then he removes an amount from the can. He then pours more paint into the can that is equal to the amount he originally removed. Therefore, the paint can remained full.
Write the first three terms of the sequence defined by the recursive formula if a1=2.
a_n= a_n-1 / 4 - 2
The first three terms of the sequence defined by the recursive formula are 2, -7/2 and -3/2
Given:
[tex]an = \frac{an - 1}{4} - 2[/tex]
where,
n = number of terms
First term, a1 = 2
Second term, a2
[tex]an = \frac{an - 1}{4} - 2[/tex]
a2 = {(2 - 1)/ 4} - 2
= 1/4 - 2
= (1-8) / 4
= - 7/4
Third term, a3
= {(3-1) / 4} - 2
= 2/4 - 2
= 1/2 - 2
= (1-4) / 2
= -3/2
Therefore, the first three terms of the sequence defined by the recursive formula are 2, -7/2 and -3/2
Learn more about sequence:
https://brainly.com/question/6561461
Answer:
a1 = 2
a2 = -3/2
a3 = -19/8
Explanation:
a_n-1 means the last term.
So if a1 = 2, a2-1 is the same thing as a1, which is 2. So a2 = 2/4 - 2. a2 = -3/2
It's the same thing for a3. a3-1 is just the last term, which is a2, -3/2. So a3 = (-3/2) / 4 - 2. a3 = -19/8
find the values of x and y ????
show step plz
Answer:
x= 90 degrees
y= 47 degrees
Step-by-step explanation:
Since the two sides of this triangle are equal in lengths, you know that it is an isosceles triangle.
So with this information, you know that the angle at the bottom left is also 47 degrees.
x would be equal to 90 degrees because it is perpendicular to the bottom of the triangle (assuming).
A triangle has 180 degrees, so add up the lengths we have to solve for the missing angle, y.
90+47+y=180
y= 43
[tex]{\huge{\boxed{\mathfrak{Answer\:With\:Explanation}}}[/tex]
First we can say [tex]x=90[/tex]°, since x is located at the right angle part.
Now we can make an equation
[tex]90+47+y=180[/tex]
subtract 137 from sides.
[tex]y=43[/tex]
_________________________________
[tex]{\huge{\boxed{\mathfrak{Answer}}}[/tex]
[tex]x=90[/tex]° [tex]y=43[/tex]°_________________________________
Calculate the value of 4321 (base 5) + 343 (base 5)
In the "1s" place,
1₅ + 3₅ = 4₅
In the "5s" place,
2₅ + 4₅ = (6)₅ = (5 + 1)₅ = 10₅ + 1₅ = 11₅
In the "25s" place, we carry the leading 1 from the "5s" place,
3₅ + 3₅ + 1₅ = (7)₅ = (5 + 2)₅ = 10₅ + 2₅ = 12₅
In the "125s" place, we carry over the 1 again,
4₅ + 1₅ = (5)₅ = (5 + 0)₅ = 10₅ + 0₅ = 10₅
Putting everything together,
4321₅ + 343₅ = 10214₅
Write an equation in point-slope form of the line that passes through the point (-6,6) and has a slope of m=3/2
Answer:
y=3/2 x+15
Step-by-step explanation:
What is 1+1 because it's obvious that it's 3!!! Duh!!! So hehe
Answer:
IT'S TWOOOOOOOOOOOOOOOO 222222222222222
Omar's net pay is $2,160. Does he make enough money to make the monthly payments for this apartment?
Security Deposit $500
Application Fee
$10
First Month's Rent $550
Electricity
$25 connection fee: $40 per month
Telephone
approximately $36 per month; $40 to connect
Water
$26 per month; a deposit of $50
Yes
No
Answer:
Yes he does. the total to all those numbers is 1277
Step-by-step explanation:
Isaiah is saving 12$ per week from his allowance. after 20 weeks, Isaiah has 240$
Answer: He saved $12 per week
Step-by-step explanation:
I am confused you basically solved your own question but here is the explanation.
Isaiah gets $12 per week in his allowance, every two weeks he gets $24, so in twenty weeks he would have save $240. Here is an equation.
2W*10 = $240
W = weeks
2 weeks = $24*10 = $240
I hope this helps in anyway
6x7 is what i dont know what it is
Answer:
it's 42
Step-by-step explanation:
6 7's
6 12 28 24 30 36 42
4x + 3 = -9 slove the equation
Answer:
x = -3Step-by-step explanation:
4x + 3 = -9=> 4x = -9 - 3=> 4x = -12=> x = -3Conclusion:
Therefore, x = -3
Hoped this helped.
[tex]GeniusUser[/tex]
Calculate 1.25 X (3)
Answer: 3.75 is your answer!
Step-by-step explanation: hope i helped my answer is 100% correct
Joe paid $345 for a vase. He sold it at a profit of 180% of cost price. Find the selling price of the vase?
Answer:
966
Step-by-step explanation:
180% is written as 1.80 as a decimal. You can multiply this by 345 to get the profit he made, and to find the total selling price, add the profit (1.80x345) to the original price (345)
Tell whether each equation has one, zero, or infinitely many solutions.
Solve the equation if it has one solution.
3(y - 2) = 3y - 6 PLZZZZZZ HELPPP
3(y - 2) = 3y - 6
3y - 6 = 3y - 6
3y - 3y = - 6 + 6
0 = 0
It has ∞ solutions.
0 = 0, so 'y' can be replaced with any value & we'll still get the LHS & RHS as 0. So, the equation has ∞ solutions.
_____
Hope it helps ⚜
Answer:
Infinitely Many Solutions
Step-by-step explanation:
3(y - 2) = 3y - 6
3y - 6 = 3y - 6 Distribute 3.
0 = 0 Combine the like terms.
Since we get the end result of 0 = 0, which is a true mathematical statement (i.e. 0 is equal to 0), we can see that regardless of the value of x, the original equation is true. So we have infinitely many equations.
Or, we can see the 2 parts as equations for 2 separate graphs. In other words, assume that we have 2 lines: y = (3x - 2) and y = 3y - 6. Since they both have the same m value (slope) and b value (y-intercept), the 2 lines are actually overlapping. So we have infinitely many solutions because the 2 equations represent the same linear graph.
PLEASE HELP SOMONE.
Suppose you invest $5000 into an account the earns 2% interest compounded quarterly. How much money will you have after 30 years? Use the formula .
Group of answer choices
Answer:
So here is the answer to your question by using the formulae of compound amount.
Initial price( P) = $5000
Interest rate( R) = 2% pa
Time ( T) = 30 years
Compound amount (CA)=?
We have
CA=P(1+R/100)^T
=5000(1+2/100)^30
=$9056.807921
=$9057(Approx)
Thus, the money will be $9057 after 30 years.
If f(x) = -3x - 5 and g(x) = 4x - 2, find (f - g)(x).
A. (f- g)(x) = -7x - 3
B. (f- g)(x) = x - 3
C. (f - g)(x) = -7x + 3
D. (f- g)(x) = x - 7
Answer:
A. (f-g)(x) = -7x -3
Step-by-step explanation:
(f -g)(x) = f(x) -g(x) = (-3x -5) -(4x -2)
= -3x -5 -4x +2
= -3x -4x -5 +2
(f -g)(x) = -7x -3
Which graph or graph shows a proportional relationship
Answer:
C) Graph A and Graph C
Step-by-step explanation:
A proportional relationship has a constant rate of change and goes through the origin. When graphed, the line should be straight and should go through the origin (0,0) as well.
Graph b does not show a straight line so B does not show a proportional relationship.
Graph D shows a straight line but the line does not go through the origin and therefore is not a proportional relationship.
Graphs A and C both show straight lines that go through the origin meaning that they are both proportional relationship.
Thus, the answer is C) Graph A and Graph C
Mr Jibril wants to fill a rectangular container measuring 8 m by 5 m by 2 m completely with gravel. Gravel costs $26 per cubic metre. He has only $1500. How much more money will Mr Jibril need to pay for the gravel?
Describe the end behavior of the function.
f(x)=3(1/5)^x-2
Answer:
The leading coefficient test requires a polynomial.
Not a polynomial
Step-by-step explanation:
Answer:
x → -∞, f(x) → ∞
x → ∞, f(x) → -2
Step-by-step explanation:
f(x) is an exponential function with a base less than 1. It represents decay, so will approach infinity as x approaches negative infinity. It will approach a horizontal asymptote for large positive x.
The -2 added to the exponential term moves the asymptote from y=0 to y=-2.
x → -∞, f(x) → ∞
x → ∞, f(x) → -2
The sales tax on a surfboard is $12 what is the percent of sales tax?
The doctor told her patient that every day he needs
to consume more than 1800 but less than 1900 calories.
Write an inequality representing the possible amount of
calories the patient could cconsume.
First person to answer CORRECTLY will get brainliest and extra points!!
Answer:
y=15
Step-by-step explanation:
Hey can yall help me asap
Answer:
4 pieces of fruit
Step-by-step explanation:
48 divided by 12 = 4
28 divided by 7 = 4
hlo math genius plz help no spam !!! (*°*°)
the area of a rectangle field 1800 m2 .If the ratio of length and breadth is 5:4, find itz perimeter
Let
Length=5xBreadth=4xATQ
[tex]\\ \sf{:}\longrightarrow Area=1800[/tex]
[tex]\\ \sf{:}\longrightarrow Length(Breadth)=1800[/tex]
[tex]\\ \sf{:}\longrightarrow 5x(4x)=1800[/tex]
[tex]\\ \sf{:}\longrightarrow 20x^2=1800[/tex]
[tex]\\ \sf{:}\longrightarrow x^2=900[/tex]
[tex]\\ \sf{:}\longrightarrow x=30[/tex]
Length=L=5(30)=150mBreadth=B=4(30)=120m[tex]\\ \sf{:}\longrightarrow Perimeter=2(L+B)[/tex]
[tex]\\ \sf{:}\longrightarrow Perimeter=2(150+120)[/tex]
[tex]\\ \sf{:}\longrightarrow Perimeter=2(270)[/tex]
[tex]\\ \sf{:}\longrightarrow Perimeter=540m[/tex]
what is 3/4÷2/1=
Explain how you got your answer
Answer:
3/2
Step-by-step explanation:
Use the KCF method.
Keep the first fraction (3/4)
Change the sign (division to multiplication)
3/4*2/1=6/4 or 3/2
Answer:
[tex]=\frac{3}{8} (Decimal: 0.375)[/tex]
Step-by-step explanation:
=[tex]\frac{3}{4*2}[/tex]
[tex]\frac{3}{8}[/tex]
Solve for the value of A
SOMEONE PLEASE HELP ME ILL GIVE YOY BRAINLIST AND POINTS
(6a - 8) + 50 = 90
6a - 8 + 50 = 90
6a + 42 = 90
6a = 90 - 42
6a = 48
a = 48/6
•°• a = 8
Abby rode her bike for 1 and 3/4 hours on Saturday and 1 5/8 hours on Sunday what is the total amount of time she rode her bike on these two days
Answer:
3 3/8 hours
Step-by-step explanation:
Add 1 3/4 and 1 5/8 = 27/8 = 3 3/8
what is 400X600+1200=
Answer: 241,200
just multiply and add hope this helps
Answer:
24,1200
Step-by-step explanation:
400x600=24,000
Then let's add 24,000+1,200 which is 24,1200.
Match the vocabulary word with the correct definition,
1. coefficient
a number, a variable, or the product
of a number and variable(s)
a letter used to represent an
unknown number
The number in front of a variable in
2. constant
3. term
a term
a single term, multiple terms
connected by an addition or subtraction
sign
a number, a term containing no
4. variable
5. expression
variables
TURNITIN
NEXT QUESTION
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ASK FOR HELP
Answer:
Definitions matched below with vocabulary wordsStep-by-step explanation:
A number, a variable, or the product of a number and variable(s)
→ 3. termA letter used to represent an unknown number
→ 4. variableThe number in front of a variable in a term
→ 1. coefficientA single term, multiple terms connected by an addition or subtraction sign
→ 5. expressionA number, a term containing no variables
→ 2. constantGiven the following triangle, what is the cos A?
[tex]\text{Given that, for angle A}\\\\\text{Adjacent side, AB = 7}\\\\\text{Hypotenuse, AC = 25}[/tex]
[tex]\cos A = \dfrac{AB}{AC} = \dfrac{ 7}{25}[/tex]
Which is a central idea of the Railroad that changed america?
What is the total of 6, 4.25, and 7.74?
Answer:
17.99
Step-by-step explanation:
