The exponential function f(x) = 3^x, when x has a value of 2 increases by 9.
What is an exponential function?An exponential function is a function that is in the form: m = ab^x
Where:
a = initial value b = rate of increase x = number of yearsF(x) = 3^x
3^2 = 9
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A bag of cement weighs 50 kg. A lorry carrying 5 t of cement breaks down. the cement is then transported in a pick up which can carry 10 bags at a time. how many trips does the pick-up make?
Answer:
10 trips
Step-by-step explanation:
50kg in a bag, 4535.92 kg in 5 tons
4535.92kg/50kg = 90.7184
90/10 = 9 trips
but there's still 0.7184 bag left, so the pick-up would need to make 10 trips.
Element X decays radioactively with a half life of 8 minutes. If there are 170
a
grams of Element X, how long, to the nearest tenth of a minute, would it take
the element to decay to 5 grams?
y = a(.5)
A time of 40.7 minutes is taken for 170 grams of element X to decay to 5 grams.
How to analyze a radioactive decay caseLet suppose that element X experiments a simple radioactive decay, that is, that the element X becomes gradually into another less radioactive stable element in time.
We know that decay behaves exponentially and follows this model:
[tex]m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }[/tex] (1)
Where:
[tex]m_{o}[/tex] - Initial mass, in gramst - Time, in minutesτ - Time constant, in minutesm(t) - Current mass, in gramsThe time constant can be described in terms of half-life ([tex]t_{1/2}[/tex]), in minutes, through the following expression:
[tex]\tau = \frac{t_{1/2}}{\ln 2}[/tex] (2)
If we know that [tex]t_{1/2} = 8\,min[/tex], [tex]m_{o} = 170\,g[/tex] and [tex]m(t) = 5\,g[/tex], then the time needed for the decay is:
τ ≈ 11.541 min
[tex]t = -\tau \cdot \ln \frac{m(t)}{m_{o}}[/tex]
t ≈ 40.698 min
A time of 40.7 minutes is taken for 170 grams of element X to decay to 5 grams. [tex]\blacksquare[/tex]
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Please help me complete this chart. No URLS
Your class of 96 students is going on a field trip to the aquarium.
You filled one school bus, and the second school bus had 6 seats left
over. Write and solve an equation to determine how many students
s can fit on one school bus.
Answer:
51 seats
Step-by-step explanation:
96 = 2 buses minus six seats
96 = 2x -6
102 = 2x
102/2 = x
51 seats
solve pls brainliest
Answer:
$645.89
Step-by-step explanation:
The price of a train ticket consists of an initial fee of $5dollar sign, 5 plus a fee of $2.75dollar sign, 2, point, 75 per stop. Julia has $21 dollar sign, 21 and would like to travel 50 kilometers. She wants to know the largest number of stops she can afford to buy on a ticket.
Answer:
17 stops on 1 ticket
Step-by-step explanation:
Answer:
17 stops on 1 ticket
Step-by-step explanation:
Someone help with this i beg!
[tex]==================================[/tex]
the rule for the first sequence is "add 1"
so we add 1 in order to get to the next term.
the rule for the next sequence is "add 5"
here, we add 5 in order to get to the next term.
the rule for the next sequence is "subtract 2"
in this sequence, we subtract 2 every time.
the rule for the next sequence is "add 7"
so we add 7 (13+7 does equal 20):)
the rule for the fifth sequence is "multiply by 2"
so this is a geometric sequence, because we use multiplication in order to get to the next term.
the rule for the sixth sequence is "subtract 6"
- we subtract 6 each time :)
the rule for the 7th sequence is "add 2"
the rule for the 8th sequence is "subtract 3"
the rule for the 9th sequence is "multiply by 7"
[tex]\rule{200}{2}~\rule{100}{2}[/tex]
Let's write down the next 2 terms for each sequence.
(the terms are highlighted in bold)
1, 2, 3, 4, 5, 6, 7, 8, 9, 10
4, 9, 14, 19, 24, 29, 34, 39
32, 30, 28, 26, 24, 22, 20, 18
6, 13, 20, 27, 34, 41, 48, 55
3, 6, 12, 24, 48, 96, 192, 384
36, 30, 24, 18, 12, 6, 0, -6
-13, -11, -9, -7, -5, -3, -1
48, 45, 42, 39, 36, 33, 30
1, 7, 49, 343, 2401, 16807, 117649
[tex]\rule{200}{2}[/tex]
note:-Hope everything is clear; if you need any more explanation, kindly ask me; I will comment and/or edit my answer.What are the y-intercept and the horizontal asymptote of g(x) = 4x + 3?
(0, 3); y = 4
(0, 4) ; y = 3
(0, 5) ; y = 4
(0, 7) ; y = 3
Using exponential function concepts, it is found that that the y-intercept and the horizontal asymptote are given by, respectively:
(0, 3); y = 4
What is an exponential function?It is modeled by:
[tex]y = ab^x + c[/tex].
In which:
a is the initial value.b is the rate of change.y = c is the horizontal asymptote.In this problem, the equation is:
[tex]y = 4^x + 3[/tex].
Hence the horizontal asymptote is y = 3, and the y-intercept is y when x = 0, hence:
[tex](0,y) = (0, 4^0 + 3) = (0, 4)[/tex]
Which means that the first option is correct.
More can be learned about exponential function concepts at https://brainly.com/question/25537936
Answer:
B. (0, 4) ; y = 3
Step-by-step explanation:
I took the exam for algebra 2
Four roommates want to split the price of a computer. How much will each roommate pay? Write an equation and solve it by using the information in the table. A 2-column table with 4 rows. Column 1 is labeled Electronics with entries Mp3 player, computer, tablet, smart phone. Column 2 is labeled Sale Price in dollars with entries 39, 299, 199, 78. $49. 75 $74. 75 $156 $1196.
The division is one of the four fundamental arithmetic operations. The amount that is needed to be paid by each friend is $74.75.
What is Division?Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
As it is given that the total cost of the computer is $299, it is needed to be split between four friends. Therefore, the price will be paid by the four friends equally which can be written as,
[tex]\text{Amount paid by each friend}=\dfrac{\text{Total cost of computer}}{\text{Number of friends}}\\\\\\\text{Amount paid by each friend}=\dfrac{\$299}{4} = \$74.75[/tex]
Thus, the amount that is needed to be paid by each friend is $74.75.
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Gerard has 365 baseball cards he puts as many of them into piles of 100 how many piles of 100 does he make
Help pleaseeeeeeeeeeee
Answer:
C. 72
Step-by-step explanation:
your are given the adjacent length of 2.4 cm and the hypotenuse of 7.8cm
so we know cos = adjacent/ hypotenuse
so to find the angle of cos you use the inverse of cos^-1(2.4/7.8)
after typing into calculator you should get about 72
Answer:
C
Step-by-step explanation:
cos(0)= Adjacent/Hypotenuse
cos(0)= n/p
cos(0)=2.4/7.8
cos(0)=4/13
(0)=cos‐¹(4/13)
(0)=72.07978686
(0)=72°
angle (0)= 72°
Which of the following tables represents a proportional relationship?
A
y=4x
8/2=4. .and the rest too have the same value
Y^2-9y+2. Y=6 evaluat the expression
[tex] \huge\mathbb\orange{ANSWER} [/tex]
[tex] \mathsf\green{y = 6}[/tex]
[tex] \mathsf \purple{{y}^{2} - 9y + 2}[/tex]
[tex] \mathsf \pink{ {6}^{2} - 9(6) + 2}[/tex]
[tex] \mathsf \purple{36 - 54 + 2}[/tex]
[tex] \mathsf \pink{ - 16}[/tex]
[tex] \mathbb\green{Hope\:It\:Helps} [/tex]
Three playing cards in a row. Can you name them with these clues? There is a two to the right of a king. A diamond will be found to the left of a spade. An ace is to the left of a heart. A heart is to the left of a spade. Now, identify all three cards.
Answer:
Ace of Diamonds, King of Hearts, Two of Spades ( hope this helps)
What is the solution to y=-2x+7 and y=5x-7
Answer:
x-2,y= 3, it can also be written as (2 ,3)
Step-by-step explanation:
2x-7y=5x-7-2x-7=5x-75x+2x=
7+77x=14x=2y=5x-7=5*2-7=10-..
Debbie has 65 tubs of yogurt and 16 boxes of granola. All four kids continue to eat the same amount of food each morning. Which kind of food will get used up first?_________
show your calculations and explain how you figured it out.
The kind of food that will finish and get used up first is the boxes of granola.
What is word problem?Word problem in mathematics is the use of critical understanding of the problem which then employs basic arithmetic operations, fractions, ratios, algebraic expression, etc to solve real-life problems.
From the parameters given:
Debbie has = 65 tubs of yogurtThe boxes of granola = 16The number of kids that consume the same quantity of both food types = 4The time at which the 65 tubs of yogurt will finish:
= 65/4
= 16th rounds with a remainder of 1 tub
The time at which 16 boxes of granola will finish:
= 16/4
= 4th round
A tub of yogurt is roughly 17 ounces while a box of granola is 1 ounce.
Therefore, we can conclude that the kind of food that will finish and get used up first is the boxes of granola.
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Help me due in 5 mins!
The times of all 15 year olds who run a certain race are approximately normally distributed with a given mean mu = 18 sec and standard deviation sigma = 1.2 sec. what percentage of the runners have times less than 14.4 sec? 0.15% 0.30% 0.60% 2.50%
The percentage of the runners having times less than 14.4 sec is 0.15%. Then the correct option is A.
What is normal a distribution?It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.
The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.
The times of all 15 years old who run a certain race are approximately normally distributed with a given mean μ = 18 sec and standard deviation σ = 1.2 sec.
The percentage of the runners has times less than 14.4 sec.
Then the z-score will be given as
[tex]\rm z = \dfrac{X - \mu}{\sigma }\\\\\\z = \dfrac{14.4 - 18}{1.2}\\\\\\z = -3[/tex]
Then the percentage will be
[tex]\rm P(z < -3)=0.00135 = 0.135 \% \approx 0.15 \%[/tex]
More about the normal distribution link is given below.
https://brainly.com/question/12421652
Answer:
A. 0.15%
Step-by-step explanation:
edge 2022
Find M angle B.
Round to the nearest degree.
Answer: 41
Step-by-step explanation:
Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels. what is the complement of mariah choosing three mysteries?
The probability is the ratio of the favorable event to the total number of events. Then the probability of choosing three mysteries books is 0.877%.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.
Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels.
The total number of books will be
Total books = 5 + 7 + 8
Total books = 20
The total number of the event will be
[tex]\rm Total \ event = \ ^{20}C_3 \\\\\\Total \ event = \dfrac{20!}{(20-3)!3!}\\\\\\Total \ event = 1140[/tex]
The favorable event will be
[tex]\rm Favorable \ event = \ ^{5}C_3 \\\\\\Favorable \ event = \dfrac{5!}{(5-3)!3!}\\\\\\Favorable \ event = 10[/tex]
The probability of choosing three mysteries books will be
[tex]\rm P = \dfrac{10}{1140}\\\\\\P = 0.00877 \ or \ 0.877\%[/tex]
More about the probability link is given below.
https://brainly.com/question/795909
Answer:
D
Step-by-step explanation:
Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels. What is the complement of Mariah choosing three mysteries?
not choosing a mystery
choosing at least one mystery
choosing three mysteries
not choosing all mysteries
D is the right answer
Pls pls pla help it lol
Multiply. Write your answer in simplest form. 2 5/6x2/5
Answer:
17/15
Step-by-step explanation:
2 5/6 x 2/5
convert 2 5/6 into improper fraction
17/6 x 2/5
cancel out the greatest common factor which would be the 6 and the 2
17/3 x 1/5
multiply straight across
17/15
could also be written as 1 2/15 or 1.13
Mr. Ramirez made 5 sandwiches. He cut each sandwich in half. How many half sandwiches does he have?
Answer:
10
Step-by-step explanation:
If you cut each sandwich in half and count how many halves there are, you are essentially multiplying it by 2. 5 times 2 is 10. Therefore, your answer is 10. Hope this helps:)
i only need help finding the radius that’s all thanks
Answer:
3
Step-by-step explanation:
from the center to the edge of circle, just counts 3
is 0.7070707070 is an irrational number.
Answer:
No
Step-by-step explanation:
numbers with decimals that terminate or repeat are not irrational. they are rational.
What the answer rate you 5 star
Answer:
This is a net
Step-by-step explanation:
Good Luck!!
what are the x- intercepts of the graph that represents y=(x+1)(x+5)
Answer:
x= -1 and x= -5
Explanation
y=(x+1)(x+5)
set both equations equal to 0
x+1=0 and x+5=0
subtract each constant from the appropriate side
x= -1 x=-5
What is a line? What is an angle? How do you describe a line and an angle? How do we know if an angle is right? obtuse? acute? or a full circle?
Answer:
A line is something that goes on endlessly in both directions. An angle is the number of degrees at a point where two rays meet. We know if an angle is right if there is a right angle that measures up to 90°. An obtuse is any angle that measures over 90° and an acute angle is under 90°. Hope this helps! :)
Step-by-step explanation:
HELP ME PLEASE! 20 POINTS!!!
In terms of π, what is the volume of the sphere? Refer to your STAAR 8th Grade Math Reference Sheet for the appropriate formula.
Question 6 options:
360π cubic feet
1800π cubic feet
27000π cubic feet
36000π cubic feet
Answer:
is in the shape of a sphere
diameter = 60 feet
radius = r = 60/2 = 30 feet
Step-by-step explanation:
volume of sphere = 4/3 × π × r³
= 4/3 × π × 30³
=4/3π × 27,000
= 36000π cubic feet
Answer:
36000π cubic feet
Step-by-step explanation:
Given :
Diameter of sphere = 60 feetSolving :
Volume = 4/3πr³But 2r = d or r = d/2Therefore, volume is :⇒ 4/3π(d/2)³⇒ 4/24πd³⇒ 1/6πd³⇒ 1/6 x 60 x 60 x 60 x π⇒ 10 x 3600π⇒ 36000π cubic feetDetermine if S could lie on the perpendicular bisector of QR with the given coordinates
Q(-5 , 4), R(8 ,3) , S(-2,-5)
Step-by-step explanation:
The distance between two points, and is given by:
The endpoints are: Q(-5, -1), R(3, 7)
Point S is (4,-2).
The distance of S to Q is:
The distance of S to R is: