Answers
Answer:
M(13)=14.3 gram
Step-by-step explanation:
Exponential Decay Function
The exponential function is used to model natural decaying processes, where the change is proportional to the actual quantity.
An exponential decaying function is expressed as:
[tex]C(t)=C_o\cdot(1-r)^t[/tex]
Where:
C(t) is the actual value of the function at time t
Co is the initial value of C at t=0
r is the decaying rate, expressed in decimal
The element has an initial mass of Mo=970 grams, the decaying rate is r=27.7% = 0.277 per minute.
The equation of the model is:
[tex]M(t)=M_o\cdot(1-r)^t[/tex]
[tex]M(t)=970\cdot(1-0.277)^t[/tex]
Operating:
[tex]M(t)=970\cdot 0.723^t[/tex]
After t=13 minutes the remaining mass is:
[tex]M(13)=970\cdot 0.723^{13}[/tex]
Calculating:
M(13)=14.3 gram
Related Questions
Question 1 (1 point)
A mail carrier divides 4,830 envelopes into boxes. Each box can hold a maximum of 50 envelopes.
What is the minimum number of boxes the mail carrier must use?
Answers
Answer:
97 boxes
Explanation:
4,830÷50= 96.6
You then have to round 96.6 up and you get 97.
To check your answer:
97×50= 4,850
Even though having 97 boxes leaves more room for envelopes, having 96 boxes will leave all the boxes full with remaining envelopes. 96 boxes isn't enough for 4,830 envelopes.
Identify the two missing sides of the 45-45-90 triangle
Answers
y= 8root2
........................
How do I graph these parabolas
Answers
The graph of any quadratic equation y=ax2+bx+c y = a x 2 + b x + c , where a, b, and c are real numbers and a≠0 a ≠ 0 , is called a parabola.
When graphing parabolas, find the vertex and y-intercept. ...
Use the leading coefficient, a, to determine if a parabola opens upward or downward.
Solve. Explain your answers in the box below.
a. Travis estimated the product of 602 and 341 to be 1,800. His work is shown below. Find and explain Travis's error.
600×300
6 hundreds × 3 hundreds =18 hundreds
600×300=1,800
b. Margaret said the exact product of 602 and 341 is 205,282. Is she correct? Use paper and the standard algorithm to support your reasoning.
Answers
Answer:
Travis estimated the product of 602 and 341 to be 1,800. His work is shown below. Find and explain Travis's error. 600×300 6 hundreds × 3 hundreds =18 hundreds 600×300=1,800 b. Margaret said the exact product of 602
Step-by-step explanation:
i hoped it was right!
Write the equation of the line in slope-intersect form with the given two points: (-5,11) and (-2,1)
Answers
Answer:
y = -10/3x - 17/3
Suppose commute times in a large city are normally distributed and that 63.70% of commuters in this city take more than 22 minutes to commute one-way. If the standard deviation of such commutes is 6.3 minutes, what is the mean commute?
Answers
Answer:
The mean is 24.205
Step-by-step explanation:
Firstly, we need to get the z-score
From the question, the probability we have is the probability that commuters take more than 22 minutes to commute one-way
So the probability we had was;
P( x > 22)
So we need the z-score corresponding to 63.70% or simply 0.637
We can use the standard normal distribution table to get this
Mathematically, from the standard normal distribution table this is -0.35
z-score = (x- mean)/SD
-0.35 = (22-mean)/6.3
22-mean = -2.205
mean = 22 + 2.205 = 24.205
A bag contains 120 marbles. Some are red and the rest are black.There are 19 red marbles for every black marble.How many red marbles are in the bag?
Answers
Answer:
there are 114
Step-by-step explanation:
Ratio of red marbles to black marbles is 19:1. (Data from 3rd sentence)
19+1= 20
20 units= 120 (Data from 1st sentence)
1 unit= 120/20= 6
19 units= 120-6= 114 (Values solved in working above)
Ans: There are 114 red marbles.
Answer:
101
Step-by-step explanation:
1/3-5/15-2/8+1/6=
(2/5-4/3):(5/4-2/6)+9/12)=
Answers
Answer:
is 13 giv brainliest PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
Step-by-step explanation:
What is an equation of the line that passes through the points (6, -7)(6,−7) and (-6, 3)(−6,3)? Put your answer in fully reduced form.
Answers
Given:
A line passes through the points (6,-7) and (-6,3).
To find:
The equation of line.
Solution:
If a line passes through two points [tex](x_1,y_1)\text{ and }(x_2,y_2)[/tex], then the equation of line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
The line passes through the points (6,-7) and (-6,3). So, the equation of line is
[tex]y-(-7)=\dfrac{3-(-7)}{-6-6}(x-6)[/tex]
[tex]y+7=\dfrac{3+7}{-12}(x-6)[/tex]
[tex]y+7=\dfrac{10}{-12}(x-6)[/tex]
[tex]y+7=-\dfrac{5}{6}(x-6)[/tex]
Using distributive property, we get
[tex]y+7=-\dfrac{5}{6}(x)-\dfrac{5}{6}(-6)[/tex]
[tex]y+7=-\dfrac{5}{6}x+5[/tex]
Subtract 7 from both sides.
[tex]y=-\dfrac{5}{6}x+5-7[/tex]
[tex]y=-\dfrac{5}{6}x-2[/tex]
Therefore, the equation of line is [tex]y=-\dfrac{5}{6}x-2[/tex].
A recipe uses 4 cups of milk to make 12 servings. If the same amount of milk is used for each serving, how many servings can be made from three gallons? Before you try that problem, answer the question below. How many cups will you need to find the number of servings for?
Answers
Answer:
144 servings
Step-by-step explanation:
Step 1
We convert 3 gallons to cups
1 gallon = 16 cups
3 gallons = x cups
x = 3 × 16 cups
x = 48 cups
Step 2
If
4 cups of milk = 12 servings.
48 cups of milk = x servings
Cross Multiply
4 × x = 48 × 12
x = 48 × 12/4
x = 144 servings
Therefore, 3 gallons of milk(48 cups) = 144 servings
Which is the slope of the line that passes through the points (-2, 4) and
(5, -1)?
Answers
There are 45 students who play a woodwind instrument in the school band. Of these, 18 play the saxophone. What percent of the woodwind musicians play the saxophone?
Answers
18/45= .4 = 4/10*10/10= 40/100= 40%
The area of the rectangular sheet is 500cm square. If the length of the sheet is 25cm, what is its width? Also find the perimeter of the rectangular sheet.
Answers
Answer:
20cm Perimeter: 90
Step-by-step explanation:
Hope this helps!(^-^)
Step-by-step explanation:
area of rectangular sheet is 500 CM square
length =25cm
area =l×b
500cm2=25cm×b
500cm2÷25cm=b
20cm=b
b=20cm
again,
perimeter =2(l+b)
perimeter =2(25cm+20)
perimeter =2×45
perimeter =90cm
A square has a side length 9cm. What is its area in square centimeters? A square has a side length 9cm2. What is its area in square centimeters?
Answers
Answer:
Step-by-step explanation:
A.
Given parameter:
Side length = 9cm
Unknown;
Area of the square = ?
Solution:
The shape given is a square.
Area of a square = L²
L is the side length
Insert the parameters and solve;
Area of the square = 9² = 81cm²
B.
Given parameters:
Area of the square = 9cm²
Unknown:
Side length = ?
Solution:
The shape is a square;
Area of a square = L²
9 = L²
L = √9 = 3cm
Which of the following is a true statement concerning the use of a placebo?
A.
B.
C.
D.
Answers
Answer:
its B
Step-by-step explanation:
Please help! I’ll mark you as brainliest if correct!!!!
Answers
Answer:
20Step-by-step explanation:
The equation of shifted function y = ax² is y = a(x-h)²+k, where h tells us how many units we move left (h<0) or right (h>0) and k tells how many units up (k>0) or down (k<0)
y = x² - 20 = 1(x - 0)² + (-20) ⇒ k = -20<0
So it's shifted 20 units down.
What is meant by the term observed frequencies (O)?
a. The frequencies found in the population
b. The frequencies that are hypothesized for the population being examined
c. The frequencies calculated from the null hypothesis
d. The frequencies found in the sample
Answers
Answer:
The term observed frequencies are found in the sample.Hence, option 'd' is correct.
Step-by-step explanation:
Unlike the expected frequency which is obtained based on prediction, the observed frequency is the actual frequency that is determined from the experiment.
Therefore, we conclude that
The term observed frequencies are found in the sample.Hence, option 'd' is correct.
Will give brainiest!
Answers
Answer:
680 oranges
15 levels
Step-by-step explanation:
Add 2, add 3, add 4, add 5.....
1+3+6+10+15+21+28+36+45+55+66+78+91+105+120=680
15 levels
He can’t add a 16th level, because it would have 136 oranges, which would put him over 800.
Answer:
15 levels, 680 oranges.
Step-by-step explanation:
Guess an check. The first 15 add to 680. The 16th is 136. 680+136=810, which is over 800.
Gabby accumulated $12,000 in credit card debt. If the interest rate is 4% per year and she does not make any payments for 8 years, how much will she owe on this debt in 8 years by compounding continuously?
Answers
Answer:
$16,525.53.
Step-by-step explanation:
A=Pe^rt
P=$12,000
r=0.04
t=8 years
What is The Base Change Property?
Answers
Step-by-step explanation:
A formula that allows you to rewrite a logarithm in terms of logs written with another base. This is especially helpful when using a calculator to evaluate a log to any base other than 10 or e. Assume that x, a, and b are all positive.
is one prime or composite?
Answers
It's neither prime or composite.
1 only has a single factor which is 1, so you can't really say.
One is a prime number because it can only be gotten in multiplication equation by using 1x1 to get 1! If it was 12 where multiple equations could get it like 3x4 then it would be composite!
Hope this helps, if not, comment below please!!!
reflecting the graph of y = cos x across the y-axis is the same as not reflecting it at all
Answers
Answer:
The graph of the equation x2+y2=0 in the three dimensional space is (A) x-axis (B) y-axis (C) z-axis (D) xy-plane
Step-by-step explanation:
please mark me as the brainliest answer and please please pleaseeee follow me
HELP ASAP
Find the 15th term or the geometric sequence 7, -21, 63,
Answers
33480783
Step-by-step explanation:Finding the Common Ratio:
We know that the formula for the common ratio of a GP is:
r = aₙ / (aₙ₋₁) (Where n is any integer)
replacing the values, taking n=2
r = -21 / 7
r = -3
Solving for the 15th Term:
We know that the Formula for the nth term of a GP:
G(n) = a * r ⁿ⁻¹ (where a is the first term and r is the common ratio)
replacing the values (taking n = 15 since we need the 15th term)
G(15) = 7 * (-3)¹⁴
G(15) = 33480783
Hence, the 15th term of the given GP is 33480783
what is the equation of a line thag has a slope of -5 and a y-intercept of -7?
fill in the blanks: y=____x+____
Answers
Answer:
y= -5x + -7 is your answer
how many grams in 1.7x 10^7 ug
Answers
Answer:
17 grams
Step-by-step explanation:
At the local sandwich shop, employees earn double time for any hours worked in addition to their regular 39-hour
week. Last week, Cooper Jones worked his regular 39 hours plus 9 hours of overtime. Cooper is paid $23.90 per
hour. What is his total pay for the week?
Answers
Answer:
8,030.4
Step-by-step explanation:
Answer:
$287.04
Step-by-step explanation:
add 39 and 9 multiply the sum by $23.90 and then multiply by two and boom, $287.04
Question 8 (2 points)
15 is 25% of
Brank 1:
HELPPP MEEE
Answers
Answer:
15 is 25% of 60
Step-by-step explanation:
15 x 4 = 60
25% x 4 = 100%
Answer:
I think that might be 60
Step-by-step explanation:
Examine the system of equations.
y = negative one-fourth x minus 2
x = 4
What is the solution to the system?
(–3, –2)
(4, –3)
(4, –2)
(4, –1)
Answers
The answer is 4,-3
Irfcdxsaacd d
Answer:
4,-3
Step-by-step explanation:
Consider a collection of envelopes consisting of 3 red , 3 blue , 1 green , and 2yellow . If three envelopes are selected at random, without replacement, determine the probability that at least one envelope is a red envelope.
Answers
Answer:
The probability is 31/35
Step-by-step explanation:
What is the solution to the system of equations graphed below
(2,-3)
(-3,2)
(-2,3)
(3,-2)
Answers
Answer: The answer will be (2,-3) it’s 2 to the right and 3 down.
Step-by-step explanation: yay