Answer:
2.47g
Step-by-step explanation:
Given that Ao=14
A(t)= Aoe^kt
k =2yrs
Considering the function where Ao is the initial substance, k is the rate of decay and t is the time.
At the 2nd year A(t) is 7
That is,
7 = 14e^2k
Solve for k
7/14 = e^2k
In(7/14) = 2k
k = In(7/14)÷2
k = In(0.5)/2
k = -0.34657
Hence, A(t)= 14e^-0.34657
So, when t is 5
A(5) = 14e^-0.34657×5
= 2.4749
Approx = 2.47g
What is the quotient of 8/9 ÷ 16/9
Answer:
1/2 or 0.5
Step-by-step explanation:
HELP!!!!!!!!!!!!!!!!!
Answer:
b
-8
Step-by-step explanation:
PLEASE HELP ASAP!!!
Which of the following statements have the same result? Explain each step in solving each one.
1. f(2) when f(x) = 4x + 2
II. (2) when f(x) = 2x-4/5
III. 2y + 11 = 3y + 1
10 points)
Answer:
1.)10 2.)0 3.)10
Step-by-step explanation:
1.) 4 (2) = 8 + 2 = 10
2.) 2(2) - 4/5 = 0
3.)2y + 11/-11 = +3y/-3y +1
2y - 3y = 1 - 11
-1y/-1 = -10/-1 = 10
jesuseduardomontiel0 avatar
jesuseduardomontiel0
3 days ago
Mathematics
High School
Daniel has 4.8 pounds of ground beef. He makes 8 burgers of equal amounts. Daniel draws this model to show how much each burger will weigh. Daniel's model correct? Why or why not?
WOW JIMMY. THATS A BIG . BIG. BIG. NUT SACK
while working at the school store, john sold a jacket for $40.00 and notebooks for $1.50 each.If he collected $92.50, how many notebooks did he sell?
Answer:
35 Notebooks
Step-by-step explanation:
$1.50x35=52.5
$52.5+$40=$92.5
or $92.50 - 40=$52.5
35x1.5=52.5
Answer:
35 notebooks
Step-by-step explanation:
let notebook as be 'x'
here, $40.00+x($1.50)=$92.50
x($1.50)=$92.50-$40.00
x($1.50)=$52.50
x=$52.50/$1.50
x=35
pls help me if you do geometry and really good at this
Please help me Asp with this
Answer:
13/24 more
Step-by-step explanation:
Dina = 5/6
Natasha = 11/8
Find the LCF
6| 6, 12, 18, 24
8| 8, 16, 24
Get each fraction to have a denominator of 24
5/6 = 20/24
11/8 = 33/24
Subtract 20/24 from 33/24
33/24 - 20/24 = 13/24
You decide to take your mom to a restaurant for her birthday lunch. Your bill came to $26.53. You need to leave a tip for your waitress who was exceptional in her service (so 18% tip is good!). What is the total of your bill with the tip? *
Answer:
$31.30 is the total bill
Step-by-step explanation:
if you multiply 26.53 by 18% you get 4.77. then when you add the 26.53 by 4.77 you would get $31.30. Your welcome (pls give brainliest)
To rent a booth at the county fair-grounds costs $42(per day plus a
one-time equipment fee of $85. Write and solve and equation to find the
number of days Ms. Williams rented a booth if she paid a total of $337
Answer:
85 + 42x = 337
x = 6
Step-by-step explanation:
For the equation:
We know there is a one-time fee plus 42 times the number of days you rent the booth for and that the total of the equation should be 337 as that is the total she paid for. We start with the one-time fee (85) and add the county fair-grounds cost (42) multiplied by the number of days you rent the booth for. Since we don't know how many days that is, we will make that our variable which we will call x.
So far we have: 85 + 42x
Now we should set the equation equal to the total amount of money Ms. Williams paid.
This will give us: 85 + 42x = 337
To solve the equation:
Our goal is to find x since that is the number of days Ms. Williams rented the booth for.
First, we subtract 85 from both sides of the equation.
42x = 252
Then, we divide both sides by 42 to isolate our variable, x.
x = 6
X is the number of days Ms. Williams rented the booth for. Therefore, Ms. Williams rented a booth at the county fair for 6 days.
the angles of a triangle are in the ratio 2:3:4 find the size of each angle
Answer:
40:60:80
Step-by-step explanation:
2x+3x+4x=180 (sum of ang. In tri. Is 180)
X=20
2x is 40
3x is 60
4x is 80
40 plus 60 plus 80 is 180.
The position of a particle moving along the x-axis is given by a twice-differentiable function x(t). If x(2) < 0, x'(2) < 0, and x''(2) <0, which of the following statements must be true about the particle at time t=2?
a. The particle is moving toward the origin at a decreasing speed.
b. The particle is moving toward the origin at an increasing speed.
c. The particle is moving away from the origin at a decreasing speed.
d. The particle is moving away from the origin at an increasing speed.
e. The particle is moving away from the origin at a constant speed.
Answer:
c. The particle is moving away from the origin at a decreasing speed.
Step-by-step explanation:
Since x(2) which represents the particles position is less than zero, that is, x(2) < 0, it shows that the particle is at the left of the origin at t = 2.
Also, x'(2) which represents the particle's speed at t = 2 is less than zero, that is, x(2) < 0, the particles speed is negative at t = 2.
Finally, since x"(2) which represents the particle's acceleration at t = 2 is less than zero, that is, x"(2) < 0, the particle's acceleration is negative at t = 2 and thus decreasing.
So, combining these three conditions together shows that the particle is moving away from the origin at a decreasing speed at time, t = 2.
Since [tex]x(2)[/tex], which represents the subatomic particle location, is below zero, that is, [tex]x(2) <0[/tex], it indicates that the particles are to the left of the origin at [tex]t = 2.[/tex]
Therefore, [tex]x'(2)[/tex], which represents the particle's speed at [tex]t = 2[/tex], is less than zero, implying that[tex]x(2) <0[/tex], the subatomic particle speed at [tex]t=2[/tex], is negative.Furthermore, because [tex]x"(2)[/tex], which represents that particle's acceleration at [tex]t = 2[/tex], is less than zero, [tex]x"(2)< 0[/tex], the particle's acceleration at [tex]t = 2[/tex] is negative and consequently declining.Considering these three requirements reveals that at the moment [tex]t = 2[/tex], the particle is moving away from the nucleus at a decreasing speed.Therefore, the answer is "Option C".
Learn more:
brainly.com/question/18800858
g(x)=x^2-3 and h(x)=2x+5
find h(g(x))
We know that [tex]g(x) = x^2-3[/tex] and [tex]h(x) = 2x+5[/tex]. So, [tex]h(g(x))[/tex] is equal to [tex]h(x^2-3)[/tex], which is [tex]2(x^2-3)+5[/tex]. This can be simplified to [tex]2x^2-1[/tex].
pls help i don’t know how to simplify lol
Answer:
the first one is 5/12 and the second one is 6/28. Hope this helps and have a nice day:)
Answer: 5/12, 3/14
Step-by-step explanation:
first problem:
first, we just reduce the numbers.
5/4 x 1/3
then, we simply multiply.
5/12
second problem:
again, we just reduce the numbers.
3/2 x 1/7
and then multiply.
3/14
Type the missing number in this sequence:
58, 65, 72, ___, 86, 93
Answer:
79
Step-by-step explanation:
Answer:
79
Step-by-step explanation:
Each number has a 7 numerical difference
Plzzzz help right answer gets a brainly!
Answer: A, The line starts at 9 and ends at 29
Please help please please
Help if you know please
Answer:
D, F, C
I hope this helps you out! :D
Answer:
A and E
Step-by-step explanation:
I have attached the graph of the problem.
A class has 11 seniors and 7 juniors. If two students are chosen at random, what is
the probability that the students chosen will be a senior and a junior?
Answer:
Seniors: 11/18
Juniors: 7/18
Step-by-step explanation:
11+7=18
What is the answer to 2W-12-5
Answer: 2W-17
Step-by-step explanation: HOPE THIS HELPS
95 points!!!! please help
When Deema begins her drive, she is 400 mi from home. She drives at an average rate of 50 mph until she gets home.
Draw a graph to represent this situation?
Answer:the sum of the first 20 terms of the sequence 50, 100, 150,.... is equal to
Step-by-step explanation:
Answer:
Just subtract, 400 - 50 = 350, 350 - 50 = 300....etc until you reach (8,0) point on the graph. Graph a straight line down from starting point (0,400) on graph to (8,0). This is your answer subtract 50 from 400 until you reach 0. Starting point (0,400) and ending point (8,0), it's a straight line down ward..
Step-by-step explanation:
John is standing on a set of bleachers and throws a baseball into the air. the baseball lands on the field. the height of the ball, in meters, is modeled by the function shown in the graph. what's the average rate of change of the height of the ball from the point when John throws it to its maximum height?
Answer:
2 m/s
Step-by-step explanation:
Given the graph of the baseball thrown into air.
John throws the baseball into the air from a given height and then the baseball reaches a maximum height and then comes back to ground.
The height of the baseball (in metres) is modeled by the function graph with respect to time.
To find:
The average rate of change of height of the ball from the point the ball is thrown to the maximum height.
Solution:
Here, the average rate of change can be found by dividing the distance between the two points with the change in time.
The starting time is 0 seconds.
The starting height is 3 metres.
The ending time is 2 seconds i.e. at which the ball reaches the maximum height.
The height is 7 metres.
Therefore, the average rate of change is:
[tex]\dfrac{\text{Change in height}}{\text{Change in time}}\\\Rightarrow \dfrac{7-3}{2-0}\\\Rightarrow \dfrac{4}{2}\\\Rightarrow 2\ m/s[/tex]
Answer:
2 meters per second
Step-by-step explanation: I took the test
Each week as part of her workout, Monica walks 0.5 mile, runs 1.6 miles, and then walks 0.75 mile.
How many total miles will Monica walk and run in a year? Reminder: there are 52 weeks in a year.
Answer:
She will walk and run 148.2 miles in a year
Step-by-step explanation:
She walks: 0.75+0.5=1.25 miles each week
And: 1.25 *52=65 miles a year
She runs : 1.6 miles a week
And: 1.6*52 =83.2 miles a year
Total miles : 83.2+65=148.2 miles
Calculate the speed of a wave with a frequency of 2 Hz, amplitude of 3m, and a wavelength of 10m
The speed of a wave is the product of the wavelength and its frequency.
The speed of the wave is 20m/s
Given
[tex]\lambda = 10m[/tex] --- the wave length
[tex]f =2Hz[/tex] --- the frequency
[tex]A = 3m[/tex] --- the amplitude
The speed of wave (v) is calculated as follows:
[tex]v =f\lambda[/tex]
Substitute values for f and [tex]\ambda[/tex][tex]\lambda[/tex]
[tex]v = 2Hz \times 10m[/tex]
[tex]v = 20ms^{-1}[/tex]
Hence, the speed of the wave is 20m/s
Read more about waves at:
https://brainly.com/question/10715783
To clear both of the fractions from fox + 7 = 5 – x, we can multiply both sides of
the equation by which of the following numbers?
6, 10, 16, 30
6 or 10
16 or 30
30 only
6, 10, or 30
Answer:
6,10,or 30 is your answer
Which shows the result of a correct substitution for the system y=2x+3 and 3x+2y=9?
Answer:
The result of the correct substitution gives:
x = 3/7 and y = 27/7
Step-by-step explanation:
From the given information:
y = 2x + 3 ---- (1)
3x + 2y = 9 ---- (2)
By using substitutional method
Substitute the value of y = 2x +3 into equation (2)
So,
3x + 2(2x + 3) = 9
3x + 4x + 6 = 9
7x = 9 - 6
7x = 3
x = 3/7
From equation (1), let replace the value of x to be 3/7
So,
y = 2x + 3
y = 2(3/7) + 3
y = 6/7 + 3
y = 27/7
Write the equation of a line in point-slope form that is parallel to the line y=2x-5 and goes through the point (-1,4)
(y-4) = 2(X+1)
Step-by-step explanation:
Hey there!
The given eqaution is; y = 2x-5.......(i)
Now; As the eqaution is in the form of y= mx+b.
Slope(m1) = 2.
As per the condition of parallel lines, slope of the 1st equation (m1) = slope of 2nd eqaution (m2).
Therefore, m1= m2= 2
Now, use one point formula for finding the eqaution of the line which passes through the point.
(y-y1) = m2(x-x1)
~ Put all values.
(y-4) = 2(X+1)
You can simply write upto here. But it you want to make it simplified form then, (look below)
~ simplify it.
y = 2x +2+4
The eqaution of the line which is parallel to y = 2x -5 and point (-1,4) is y = 2x + 6.
Hope it helps.....
Answer: y - 4 = 2(x + 1)
Step-by-step explanation:
The point slope form formula says that y - b = m(x-a) where m is the slope,b is the y coordinate of a given point , and a is the x coordinate of the same point.
Remember that parallel lines have the same slopes but different y-intercepts, meaning that m will equal to 2 because the slope for the line y=2x-5 is 2.
m will be 2, b will be 4 , and a will be -1.
y - 4 = 2(x - (-1) which reduces to
y - 4 = 2(x + 1)
All of the following statements are all true except
a. The quotient of c and b is negative.
b. The quotient of 0 and c is 0.
c. The quotient of a and b is positive.
d. The quotient of 0 and a is undefined.
Answer: The answer is B and C
Step-by-step explanation:
Answer:
c. The quotient of a and b is positive.
Step-by-step explanation:
Sophia, Aiden, and Jaiden had a challenge to see who could bike the farthest in one day. Sophia biked 13 miles, Aiden biked 2 times as many miles as Jaiden and Jaiden biked 3 times as many miles as Sophia. How many miles did Aiden bike?
Answer:
78 is the answer
Step-by-step explanation:
ok so look below for steps to solve it!
step 1: it says Jaiden did 3* as many so multiply 3*13=39
step 2: then multiply 39*2=78
step 3: thus, the answer is 78
please give me brainliest! have a great day!
Answer:
Its 78
Step-by-step explanation:
The prime factorization of
___
Answer:
80
Step-by-step explanation:
Answer:
The correct answer is 80.
Step-by-step explanation:
=2^4×5
=2×2×2×2×5
=4×2×2×5
=8×2×5
=16×5
=80#
5. Jane can paint the office by herself in 7 hours. Working with an associate, she can paint the office in 3 hours. How long would it take her associate to do it working alone?
Answer:
5.3 hours
Step-by-step explanation:
Jane can paint the office by herself in 7 hours.
with an associate, she can paint the office in 3 hours.
The combined work rate is 3 hours per office
Required
the work rate for the associate
Step two:
let the expression for the wok rate be
1/A+1/B= 1/T
1/7+1/B=1/3
1/B=1/3-1/7
1/B= 8-4/21
1/B= 4/21
B= 21/4
B=5.3 hours
the work rate for the associate is 5.3 hours