Answer:
About 0.6548 grams will be remaining.
Step-by-step explanation:
We can write an exponential function to model the situation. The standard exponential function is:
[tex]f(t)=a(r)^t[/tex]
The original sample contained 510 grams. So, a = 510.
Each half-life, the amount decreases by half. So, r = 1/2.
For t, since one half-life occurs every 38 days, we can substitute t/38 for t, where t is the time in days.
Therefore, our function is:
[tex]\displaystyle f(t)=510\Big(\frac{1}{2}\Big)^{t/38}[/tex]
One year has 365 days.
Therefore, the amount remaining after one year will be:
[tex]\displaystyle f(365)=510\Big(\frac{1}{2}\Big)^{365/38}\approx0.6548[/tex]
About 0.6548 grams will be remaining.
Alternatively, we can use the standard exponential growth/decay function modeled by:
[tex]f(t)=Ce^{kt}[/tex]
The starting sample is 510. So, C = 510.
After one half-life (38 days), the remaining amount will be 255. Therefore:
[tex]255=510e^{38k}[/tex]
Solving for k:
[tex]\displaystyle \frac{1}{2}=e^{38k}\Rightarrow k=\frac{1}{38}\ln\Big(\frac{1}{2}\Big)[/tex]
Thus, our function is:
[tex]f(t)=510e^{t\ln(.5)/38}[/tex]
Then after one year or 365 days, the amount remaining will be about:
[tex]f(365)=510e^{365\ln(.5)/38}\approx 0.6548[/tex]
HELP DUE VERY SOON!!!
Answer: The answer is the second option.
Step-by-step explanation:
Answer:
$12.60 is a better deal
Step-by-step explanation:
hope this helps
Use the function h(x)=3x-5, for what value of x will h(x)=28
Answer:
x = 11
Step-by-step explanation:
3 x 11 = 33
33-5 = 28
x = 11
Answer:
10
Step-by-step explanation:
Given
h(x) = 3x - 5
h(x) = 25
3x - 5 = 25
3x = 25 + 5
3x = 30
x = 30 / 3
x = 10
PLEASE HELP!!!! EASY 50 POINTS!! WILL MARK BRAINLIEST!!
1. Which graph has the y-intercept -2?
2. Which statement describes the y-intercept of the graph of aproportional relationship?
A: It is equal to the x-intercept of the line.
B: It is greater than the x-intercept of the line.
C: The line intersects the y-axis of the graph at the origin.
D: The line intersects the y-axis of the graph above the origin.
Answer:
For 1 it is D
For 2 it is A
Hope this helps :)
Step-by-step explanation:
Answer:
#1
Option D
Y intercept-2 means line passes through the downward y-axis.#2
As
[tex]\\ \sf\longmapsto x\propto y[/tex]
It is equal to the x-intercept of the line.
Option A is correct
Here is a right-angled triangle.
Diagram NOT
accurately drawn
6.5 cm
B
6.3 cm
AC = 6.5 cm.
BC = 6.3 cm.
Angle ABC = 90°
Calculate the length of AB.
(3 marks)
It is given that, ABC BC =6.5cm CA=6.3cm AB=4.8cm Steps involved in construction Step 1: First draw a line segment AB = 4.8cm using pencil and ruler And mark one end A and other end B Step 2: From the point A draw an cm Step 3: From the point B draw an arc of length 6.5 cm Step point of intersection of these arc as C. Step 5: Join A and C & B and C. Now the triangle ABC is ready with BC =6.5cm CA=6.3cm AB=4.8cm
Find the area of each. Use your calculator's value of p. Round your answer to the nearest tenth.
will mark as brainiest
please
Step-by-step explanation:
22/7*9*9=254.5714286
A ball is shot from a cannon into the air. The equation that's gives the height (h) of the ball of any time (t) is: h(t)= -16t^2 + 40t + 1.5
Answer:
26.5 units
Step-by-step explanation:
The height of the ball at any time t is given by :
[tex]h(t)= -16t^2 + 40t + 1.5[/tex] ...(1)
We need to find the maximum height of the ball.
For maximum height, put [tex]\dfrac{dh}{dt}=0[/tex]
i.e.
[tex]\dfrac{d( -16t^2 + 40t + 1.5)}{dt}=0\\\\-32t+40=0\\\\t=\dfrac{40}{32}\\\\t=1.25\ s[/tex]
Put t = 1.25 in equation (1) to find the maximum height.
So,
[tex]h(t)= -16(1.25)^2 + 40(1.25) + 1.5\\\\=26.5\ units[/tex]
So, the maximum height reached by the ball is 26.5 units.
The following exchange rate is given: £1 = 1.11 euros. Convert £8 into euros.
Answer:
= 8.88
Step-by-step explanation:
£1 = 1.11 x £8 = 8.88 (euro)
I need help please. Also check out my other question
Answer:
8 Km.Explanation:
I'm going to turn the fractions into decimals2 ½: 2.5
3 ⅕: 3.2
Formula for the area of a parallelogram: A = b(h)Base: 3.2
Height: 2.5
3.2 · 2.5 = 8
The area of the parallelogram is 8 Km.can someone please help me quickly??
Answer:
i think your answer would be 35
Step-by-step explanation:
oh sorry it's answer is 42.
calculate by adding all the individuals less than 40
A rectangle has an area of 274.5m
One of the sides is 4.5m in length.
Work out the perimeter of the rectangle.
131m
Step-by-step explanation:
274.5÷4.5=61
4.5m×2=9m
61m×2=122
122m+9m=131m
Answer:
Perimeter = 131 m
Step-by-step explanation:
Area=Length x Width so:
274.5 = 4.5 x Width
Width = 274.5/4.5 = 61 m
Perimeter = 2 Widths + 2 Lengths so:
Perimeter = 2(4.5)+2(61 )= 131 m
Claire buys a new car for £5700
She pays a deposit of 12%
She then pays the rest of the cost in 15 equal monthly payments.
Answer:
68 dollors
Step-by-step explanation:
i calculated
please help me please will give brainliest
Answer:
12) You should "Never drop trash on the ground"
13) I believe "Everyone should be aware about littering"
14) I believed "that everyone should know littering is bad "
15) Do you think "Littering is bad?"
16) I can't stand "when people do not care about littering "
17) It is important "to be aware about littering and the effect it has on the world"
Step-by-step explanation:
a fruit company delivers its fruit in two types of boxes large and small a delivery of five large boxes and two small boxes have a total weight of 88kg delivery of three large boxes in 8 small boxes has a total of 97 kg how much does each type of box weigh
Answer:
Large boxes:19 kg
Small boxes:5 kg
Round 608,897 to the nearest ten
Answer:
608,900
Step-by-step explanation:
it is hard to explain, but here is the answer
The number 608,897 to the nearest tens is 608,900.
What is Rounding Off?Rounding off is the method of simplifying a number to the next closest number by maintaining it's value.
Rounding can be done for decimals as well as whole numbers. Rounding can be done to different place values like tens, hundreds, and in decimals, tenths, hundredths, etc. can be done.
The given number is 608,897.
We have to round this to the nearest ten.
For that, we have to consider the digits in the place values ones and tens.
The digit in the ones is 7. Replace it with 0.
Since the digit in the ones is greater than 5, the digit in the tens column get increased by 1. So 9 in the tens column become 10. By keeping 0 at the tens column 1 is given to the next place value, hundreds. So the digit on the hundreds value which is 8 get increased by 1 and become 9.
Thus the number 608,897 is rounded to 608,900.
Hence the number 608,897 can be rounded off to the nearest tens as 608,900.
Learn more about Rounding Off here :
https://brainly.com/question/13391706
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what does 74% of 160
Equal
Answer:
Step-by-step explanation:
74% of 160 = 118.4
Answer:
118.4
Step-by-step explanation:
74/100 is 0.74
0.74 x 160 = 118.4
Hope this helps :)
2. What is the slope. Make sure you reduce
Answer:-4/5
Step-by-step explanation:
(3,3)
(-2,-1)
Y2-y1/x2-x1
3- (-1)/ -2 -3
4/-5
Answer:
4 over 5 (4/5)
Step-by-step explanation:
Its extremely simple. You need to start from the lower point, and count up until you get to the same lime as the other point. Starting from the lower point, you count up 4 to get on the same line. Then, since its on the right, you count to the right 5, till you get to the dot, and you get 4/5. All you have to do is just count
Find m < E (Image Below)
Answer:
uiuiuiui86767
Step-by-step explanation:
your answer is e330408384
What is the best way to study Geometry?
Answer:
diagramming, knowing your properties well, understand and know the angles, and have a good math understanding
Step-by-step explanation:
hope this helps
(no fake answers) please help !
Answer:
19.4 units
Step-by-step explanation:
if perimeter is 2p+2w then the equation is
(2x6.2)+(2x3.5)
12.4+7
19.4 units
hope this helps have a blessed day :)
Find the shaded area.
Answer: ≈ 21.46 m²
Step-by-step explanation:
Area of square = 10 x 10 = 100 m²
Area of circle = π(5²) = 25π m²
Area of total = 100 - 25π = 21.46018366
≈ 21.46 m²
What's the diffrence between an Arithmatic sequence and a Geometric sequence?
Answer:
An arithmetic sequence has a constant difference between each term.
A geometric sequence has a constant ratio.
how many terms are in 3x+8y ?
Answer: 2
Step-by-step explanation:
Answer:
Two
Step-by-step explanation:
There are two sides to the equation-
Its quite simple.
You can buy six cans of root beer for $18. How much will she pay for 27
cans?
Answer:
162$$
Step-by-step explanation:
The difference between 3/4 of a number (n) and 8 is 5/8 of the number. Wut is the number
Answer:
n = 64
Step-by-step explanation:
3/4n - 8 = 5/8n
-8 = 5/8n - 6/8n
-8 = -1/8n
-n = -64
n = 64
The unknown number is 64.
Important information:
The difference between [tex]\dfrac{3}{4}[/tex] of a number [tex](n)[/tex] and 8 is [tex]\dfrac{5}{8}[/tex] of the number.Linear Equation:[tex]\dfrac{3}{4}[/tex] of a number [tex](n)[/tex] is [tex]\dfrac{3}{4}n[/tex].
Difference between [tex]\dfrac{3}{4}[/tex] of a number [tex](n)[/tex] and 8 is [tex]\dfrac{3}{4}n-8[/tex].
[tex]\dfrac{5}{8}[/tex] of the number is [tex]\dfrac{5}{8}n[/tex].
Using the given information form a linear equation.
[tex]\dfrac{3}{4}n-8=\dfrac{5}{8}n[/tex]
Now, solve the equation.
[tex]\dfrac{3}{4}n-\dfrac{5}{8}n=8[/tex]
[tex]\dfrac{6n-5n}{8}=8[/tex]
[tex]\dfrac{n}{8}=8[/tex]
Multiply both sides by 8.
[tex]n=64[/tex]
Therefore, the unknown number is 64.
Find out more about 'Linear Equation' here:
https://brainly.com/question/7244488
Spendthrift Steve found a splendid interest rate of 11.5% for his $2500 investment. If interest is
compounded contiuously, how much will Steve have after 4 years, when he needs the money for college?
Answer:
Step-by-step explanation They will have a 11.5 they have 2000 but you di511.5÷2
Bonnie bought 14 sponges. There were s sponges in each package. Choose the expression that shows how many packages Bonnie bought.
Answer:
14/s
Step-by-step explanation:
Bonnie bought 14 sponges. There were s sponges in each package. Choose the expression that shows how many packages Bonnie bought.
Number of sponges = Number of packages
Hence:
s sponges = 1 Package
14 sponges = x
Cross Multiply
s × x = 14 × 1
x = 14/s
Therefore, the expression that shows how many packages Bonnie bought.is given as
14/s
Does the point (1, –9) satisfy the equation y = 3x − 6?
Answer:
No.
Step-by-step explanation:
Well, is the points (1, -9) does satisfy the equation y = 3x - 6. Then, substituting the values of x, and, y, into the equation y = 3x - 6, we should get a true equation.
y = 3x - 6
-9 = 3 * 1 - 6
-9 = 3 - 6
-9 = -3.
So, the points (1, -9) does not satisfy the equation y = 3x - 6.
An arctic woolly-bear caterpillar lives for 7 years and spends 90% of its life frozen. How many days of its life is the arctic woolly-bear frozen?
Answer:
There are 365 days in a year, which means there are 2555 days in 7 years.
If the caterpillar spends 90% of its life frozen, it will spend about 2300 days of its life frozen.
Let me know if this helps!
Answer:
6.3 years
Step-by-step explanation:
90 divided by 100 times 7
[tex] \frac{7}{9} \times \frac{5}{6} [/tex]
what is the answer to this?
Answer:
[tex]\frac{35}{54}[/tex]
Step-by-step explanation:
When multiplying two fractions, you multiply across always. We have two fractions :
7/9 and 5/6
So multiply across :
[tex]\frac{7 * 5}{9 * 6}[/tex]
[tex]\frac{35}{54}[/tex]
Plzzzzz help meee plz due today soon
Answer:
a
Step-by-step explanation:
Answer:
the answer is no. a.so ,please make sure u have given the right answer