Answer:
About 5043.58
Step-by-step explanation:
The standard form for an exponential decay after t time is:
[tex]\displaystyle f(t)=a(r)^{t/d}[/tex]
Where a is the initial value, r is the rate decay, t is the time that has passed, and d is the amount of time it takes for 1 cycle.
The initial value is 9800. So a = 9800.
The quantity cuts in half. So, r = 1/2.
And it cuts in half every 6 days. For this question, we will convert this to hours. 6 days = 144 hours. So, we can let d = 144, where t will be in hours.
Therefore, our function is:
[tex]\displaystyle f(t)=9800\Big(\frac{1}{2}\Big)^{t/144}[/tex]
Where t is the amount of time that has passed, in hours.
Then the quantity left after 138 hours will be:
[tex]\displaystyle f(138)=9800\Big(\frac{1}{2}\Big)^{138/144}\approx 5043.58[/tex]
An arithmetic sequence has the following properties:
The sum of its 18 term and 4th term is 29
1) The sum of its oth and 8th terms is 74
Find a formula for the nth term T of this sequence.
Answer:
Easy peasy
Step-by-step explanation:
7+(n-1)5
Jin surveyed 300 of the students in his school about their favorite color. Students could choose between red and purple. 207 students said their favorite color was purple. What percentage of the surveyed students said their favorite color was red
Answer:
31%
Step-by-step explanation:
12+22+32+...+102 =?
Answer:
750 is the answer. Hope it helps!
ABCD∼EFGH
The value of x is
Answer
didn't know there was an image
Marcus wants to save $378 in order to buy a new electronic keyboard. He plans to save $15.75 every week from his paycheck. Right and solve an equation to find how many weeks Marcus will need to save save.
Answer:
15.75 * 24 = 378
Step-by-step explanation:
15.75x = 378. We need to first isolate the variable. x = 24. Using this we can make the equation. 15.75 * 24 = 378
Jammy invests $4,000 at a rate of 8% (simple interest). What is the amount of interest at the end of
the first year?
a. $320
b. $4320
c. $5000
d. $3200
Pls hurry and help!!!!! 3х + 3 = Зу
2x – 6у = 2. Solve the equations by using elimination (adding) show work
Answer:
Step-by-step explanation:
3x - 3y = -3
2x - 6y = 2
-6x + 6y = 6
2x - 6y = 2
-4x = 8
x = -2
-4 - 6y = 2
-6y = 6
y = -1
(-2, -1)
if you have 60 G of fluorescent powder and 124 cups of medium base paint, and the ratio is one part powder to five parts paint how many cups of paint can I make with fluorescent powder
Answer:
1.268 cups
Step-by-step explanation:
60 G=0.2536 cups (I found a G to cup converter on the internet)
0.2536x5=1.268 cups of paint it would mix with at a 1 to 5 ratio
15. Hatice Hanım, 3 çocuğuna birer
ayakkabı almıştır. Ayakkabılar için satıcıya
500 TL veren Hatice Hanım, 5 TL para
üstü almıştır. Ayakkabıların fiyatları eşit
olduğuna göre bir ayakkabının fiyatı kaç
liradır?
A) 150
B) 155
C) 160
D) 165
Answer:
D
Step-by-step explanation:
Merhaba!
500-5=495
bir ayakkabı=495/3=165
Good work ;)
the quotient of k and ten
Answer:
k/10
Step-by-step explanation:
Quotient of k and 10 simplified to k/10
Select the correct answer.
What is the difference of the values of the two variables in this system of equations?
y=2x+1
x+3y= 10
OA. 0
OB. 1
Ос.
2
OD. 3
Answer:
C. 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Terms/CoefficientsSolving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = 2x + 1
x + 3y = 10
Step 2: Solve for x
Substitution
Substitute in y: x + 3(2x + 1) = 10Distribute 3: x + 6x + 3 = 10Combine like terms: 7x + 3 = 10[Subtraction Property of Equality] Subtract 3 on both sides: 7x = 7[Division Property of Equality] Divide 7 on both sides: x = 1Step 3: Solve for y
Define original equation: y = 2x + 1Substitute in x: y = 2(1) + 1Multiply: y = 2 + 1Add: y = 3Step 4: Find difference
y = 3
x = 1
Subtract: 3 - 1 = 2Oliva used 1/2 pound of peppers and 1/15 pound of cheese to make 3 pizzas if she uses the same recipe to make 5pizza, how much cheese is needed
Answer:
oliva needs 5 pounds of cheese
Step-by-step explanation:
A rectangle has an area of 24 square feet and a length of 6 feet. Calculate the perimeter of the rectangle.
Solve for x. Round to the nearest tenth if necessary.
Answer:
x = 19
Step-by-step explanation:
Since, both the triangles (small and large) given in the picture are similar,
Their corresponding sides will be in the same ratio.
By applying this property,
[tex]\frac{20}{36}= \frac{30}{30+(x+5)}[/tex]
[tex]\frac{5}{9}= \frac{30}{x+35}[/tex]
5(x + 35) = 9 × 30
5x + 175 = 270
5x = 270 - 175
5x = 95
x = [tex]\frac{95}{5}[/tex]
x = 19
what’s the slope of the line?
Answer:
4/3
Step-by-step explanation:
You use Rise over Run.
It runs 3 blocks to the left (+).
It rises 4 blocks up (+).
Answer:
is the change in y over the change in x
I need question 4 and 5
Answer:
4) x=14
Step-by-step explanation:
multiply the area by 2 to get 140then devide by 10 to find x
what is the answer to 3x + 7 = 82?
Answer:
x=25
Step-by-step explanation:
Answer:
x = 25
Step-by-step explanation:
3x + 7 = 82
3x + 7 - 7 = 82 - 7
3x = 75
3x/3 = 75/3
x = 25
Jennie charges $200 per passenger for a sunset sailing
tour on her catamaran, while Paul charges $250 per
passenger. We can define the amount of money each
person earns per cruise as a random variable.
Let A = the amount of money Jennie earns and let B =
the amount of money Paul earns.
What is the mean of the sum and the mean of the
difference of the amount of money that Jennie and
Paul earn on a randomly selected cruise?
MA+B= $
HA-B = $
A = 200X and B = 250Y
|--234.163
PA= $730, CA = $192.62
Mg = $962.5, o= $253.425
-232.5
272.687
1692.5
Answer:
1692.5 and -232.5
Step-by-step explanation:
The mean of the sum would be as follows:
1692.5
The difference of the amount of money earned by Jennie and Paul would be:
-232.5
Mean
Given that,
Money earned by Jennie(A) [tex]= 200X[/tex]
Money earned by Paul(B) [tex]= 250Y[/tex]
μ[tex]_{A}[/tex] = $[tex]730[/tex] & σ[tex]_{A}[/tex] = $ [tex]192.62[/tex]
μ[tex]_{B}[/tex] [tex]=[/tex] $[tex]962.5[/tex] & σ[tex]_{B}[/tex] [tex]=[/tex] $ [tex]253.425[/tex]
So,
The mean of the sum [tex]= 1692.5[/tex]
The difference of the amount of money [tex]= -232.5[/tex]
Learn more about "Mean" here:
brainly.com/question/521501
I need help with this question this question is worth 25 points.
Answer:
i hope it help you :)
Step-by-step explanation:
1)x=25 ,m<KOL=m<DOA=80ْ
2)x=13 ,m<UOT=m<VOS=93ْ
3)x=8 , m<KOL=m<NOM=142ْ
4)x=20 ,m<HOG=m<EOF=46ْ
5)x=53 ,m<ROS=m<QOP=10ْ
6)x=14 , m<LOM=m<KOJ=127
Lisa has $150 at most to spend on clothes. She wants to buy a pair of jeans for $58 and will spend the rest on t-shirts that cost $14 each.
Then on the way to the register, Lisa notices a cool pair of shoes that cost $39. If she wants those shoes and the jeans, how many t-shirts will she be able to purchase? Create an inequality to represent the number of t-shirts that Lisa can purchase?
Answer:
To determine the number of shirts that Lisa can buy, knowing that each one is worth $ 14, that she can spend a maximum of $ 150 and that she will also buy a pair of jeans for $ 58 and a pair of shoes for $ 39, the following calculation must be performed:
(150 - 58 - 39) / 14 = X
53/14 = X
3.78 = X
53 - (14 x 3) = X
11 = X
Therefore, Lisa can buy 3 T-shirts, and she will have 11 dollars left over.
help me solve this please.
Which list of points are solutions to the graph of y = c – 2?
A
(8,4), (10,5), (12, 6)
B
С
(20,8), (30, 13), (40, 18)
(-20, -8), (-30, -13), (-40, -18)
(-8,-10), (-10,-12), (-12, -14)
D
HELP ME PLEASEE
Step-by-step explanation:
(-8,-10) (-10,-12) (-12,-14)
just plug them into the formula and see that it works.
What is a probability that rolling a six-sided die results in 2 or 3?
The probability of rolling a 2 would be 1/6
The probability of rolling a 3 would be 1/6
The probability of rolling a 2 or a 3 would be 1/6 + 1/6 = 2/6, which reduces to 1/3
The answer is 1/3
4/9 X (-1/8) SIMPLIFY
Answer:
-0.05555555555
Step-by-step explanation:
What is x/3 + x/5 ? Give the correct answer
Answer:
[tex]\dfrac{x}{3}+\dfrac{x}{5}[/tex] =
Step-by-step explanation:
We need to find the value of [tex]\dfrac{x}{3}+\dfrac{x}{5}[/tex]
The LCM of 3 and 5 is 15. So,
[tex]\dfrac{x}{3}+\dfrac{x}{5}=\dfrac{5x+3x}{15}[/tex]
[tex]=\dfrac{8x}{15}[/tex]
So, the value of [tex]\dfrac{x}{3}+\dfrac{x}{5}[/tex] is equal to [tex]\dfrac{8x}{15}[/tex].
Find the slope of the line below. If necessary, use a slash (/) to indicate a
division bar.
(4,3)
(-6,-3)
m =
Answer:
3/5
Step-by-step explanation:
As we move (right) from the first point to the second, we see x (the run) increasing by 10 and y (the rise) by 6. Thus, the slope of the line shown in the diagram is
m = rise / run = 6/10 = 3/5
If you subtract 14 from twice a number, the result is 6. What is the number?
The equation for this statement:
2x – 14 = 6
=> 2x = 6 + 14
=> 2x = 20
=> x = 20/2
=> x = 10
mark and heather starr are celebrating their 25th anniversary by having a reception at local reception hall. they have budget 4500 for their reception. if the reception hall charges 50 cleanup fee plus 30 per person find the greatest number of people they may invite
Answer:
Step-by-step explanation:
The $50 cleanup fee is a "fixed cost."
The "$30 per-person fee is a "variable cost." That is, it varies with the number of people.
"within" means "less than or equal to"
Cost = $50 + $30x [where x = number of people]
Cost ≤ $4500 ["stay within their budget"]
$50 + $30x ≤ $4500 [substitute for cost]
$30x ≤ $4450 [subtract $50 from both sides retains sense of inequality]
x ≤ 148.3333 [divide by +$30 retains sense of inequality]
Mark and Heather may invite up to 148 guests.
[note: to be "≤," always truncate, never round up]
Check:
148 people for $30 each + $50 is $4440+$50 = $4490.
One more person makes it $4520 -- that is too much.
There we go, my bad
Answer:
Step-by-step explanation:
First we need a linear equation for the situation. 50 cleanup fee applies regardless of how many people they have. Even if NOBODY shows up, they will be charged $50, so $50 is our y-intercept. If they are charged $30 per person, and we are looking for the number of people they can invite, x will represent the number of people and y will represent the cost of everything. The linear equation is
y = 30x + 50. If they have 4500 to spend, then
4500 = 30x + 50, and now solve it for x:
4450 = 30x and now divide by 30 to get
148 1/3 = x. Now, you can't invite a third of a person, so it would be safe to invite 148 people and you won't go over your budget.
2 + 3 + 4= ( 2 + 3) +4
Answer:
It equals 9 or it is true
Step-by-step explanation:
Answer:
yes they are the same
Step-by-step explanation:
they both equal 9
What is 9.52 rounded to the nearest tenth?
o 9.0
9.5
o 9.6
O 10.0
I need this fast
Answer:
9.5
Step-by-step explanation:
When rounding to the nearest tenth, check to see what the hundredths place value is.
If it is 0.05 or greater, we will round the tenths place up one.
If not, the tenths place will remain the same.
Since 9.52 has a hundredths place value of 0.02, we will keep the same tenths place value.
So, the correct answer is 9.5