The function representing the mass of Element X after t days is [tex]{\text} M(t) = 390 * (0.41)^t[/tex], and the percentage rate of change per hour is 2.46%.
Given:
Initial mass = 390 grams
Rate of decay = 59% = 0.59
The general form of an exponential decay function is:
[tex]{\text}y = a (1 - r)^t[/tex]
So, the function to represent the mass of the sample after t days would be:
[tex]{\text} (t) = 390 * (1 - 0.59)^t[/tex]
Simplifying this equation gives
[tex]M(t) = 390 * (0.41)^t[/tex]
Now, the hourly rate of change is
Hourly rate of change = 0.59 / 24
= 0.024583
= 2.46% per hour.
Therefore, the function is [tex]{\text} M(t) = 390 * (0.41)^t[/tex]and the rate of change is 2.46%.
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Ran has 17 cameras to clean. He cleans 10 cameras.Then rah finds 8 more cameras to clean. How many cameras does ran has to clean now?
Answer:
total of 25 to clean.
did 10
has 15 left
Answer: 15
Step-by-step explanation:
Ran Needs to clean 17 cams... he already cleaned 10, so subtract 17-10... it would be 7
he finds 8 cams to clean... so we add 8+7... and it becomes 15...
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Need help question #3. Show steps please
Answer:
B.
Step-by-step explanation:
We are given:
[tex]\displaystyle \int \sqrt{x}\Big(9x^3-2\sqrt{x}+\frac{8}{x}\Big)\, dx[/tex]
And we want to select its equivalent form.
Note that A is not valid. No integration property allows us to separate factors unless that factor is a constant.
We can simply rewrite and then distribute. First, by rewriting:
[tex]\displaystyle =\int x^{1/2}\Big(9x^3-2x^{1/2}+8x^{-1}\Big)\, dx[/tex]
Distribute. Recall exponent properties;
[tex]\displaystyle =\int(9x^{3+1/2}-2x^{1/2+1/2}+8x^{-1+1/2})\, dx[/tex]
Simplify:
[tex]\displaystyle=\int9x^{7/2}-2x+8x^{1/2}\, dx[/tex]
This can then be separated (since its addition/subtraction) and integrated individually.
Hence, our answer is B.
PLEASE I NEED HELP CLICK ON THIS IMAGE
Answer:
Mean: 10
Median: 10.5
Mode: none
Step-by-step explanation:
there is no mode, mean is 10 and median is 10.5
The work of a student to solve a set of equations is shown: Equation A: y = 4 − 2z Equation B: 4y = 2 − 4z Step 1: −4(y) = −4(4 − 2z) [Equation A is multiplied by −4.] 4y = 2 − 4z [Equation B] Step 2: −4y = 4 − 2z [Equation A in Step 1 is simplified.] 4y = 2 − 4z [Equation B] Step 3: 0 = 6 − 6z [Equations in Step 2 are added.] Step 4: 6z = 6 Step 5: z = 1 In which step did the student first make an error? (5 points)
Answer:
The student made the first mistake in step 2.
Step-by-step explanation:
The work of a student to solve a set of equations first make an error in step 2 .
What is elimination method?The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with multiplication or division of coefficients of the variables.
According to the question
Equation A: y = 4 − 2z
Equation B: 4y = 2 − 4z
Solving equation by elimination method
Step 1:
[Equation A is multiplied by −4.]
−4(y) = −4(4 − 2z)
Equation B: 4y = 2 − 4z
Step2:
[Equation A in Step 1 is simplified.]
-4y = -16 + 8z
Equation B: 4y = 2 − 4z
Step 3:
Both equation A and B is added
-4y = -16 + 8z
4y = 2 − 4z
=> 0 = -14 + 4z
Step 4:
4z = 14
z = 3.5
Hence, the work of a student to solve a set of equations first make an error in step 2 .
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plzzzz help will
get brainliest
I need help with this
Answer:
1/5
Step-by-step explanation:
because u divied
Helppp! Is Figure A’B’C’D’ a reflection of Figure ABCD? Explain. *
Question 7
(04.03 MC)
The graph below shows the price of different numbers of swim bags at a store:
A graph is shown. The values on the x axis are 0, 2, 4, 6, 8, 10. The values on the y axis are 0, 15, 30, 45, 60, and 75. Points are shown on ordered pairs 0, 0 and 2, 15 and 4, 30 and 6, 45 and 8, 60. These points are connected by a line. The label on the x axis is Number of Bags. The title on the y axis is Price in dollars.
Which equation can be used to determine p, the cost of b swim bags? (5 points)
a
p = 7.50 + b
b
b = 7.50 + p
c
p = 7.50b
d
b = 7.50p
Answer:
IT's p=7.50b
Step-by-step explanation:
i took a test with this question
Which of the following modifications to an electromagnet would be most likely to
decrease the strength of its magnetic field?
Answer:
Fewer coils, lower voltage, alloyed core with less iron
Step-by-step explanation:
What is the lowest term of 75/60 as an improper fraction?
Answer:
The lowest term 75/60 as an improper fraction is 5/4.
GEOMETRY!!! Will give brainliest
Answer:
circle
Step-by-step explanation:
Derek answered 42 out of 60 questions correct on the last test. What was his score as a percent?
Answer:
70%
Step-by-step explanation:
42/60 = 7/10
Please help me !!!!!!!!!!!!!
simplify by distributive property 9-5b+5m
Answer and Step-by-step explanation:
This is as far as the expression can be simplified.
The undistributed version of the expression is:
9 -5(b - m)
#teamtrees #PAW (Plant And Water)
what is 3/10(x+2)=12
X=38
Hope I helped :]
Pleaseee I need this now!
Answer:
54000 cube cm
Step-by-step explanation:
Let height be the height of the box kite,
Also the length of one face = 30 cm,
Hence, the total area of the kite box that is covered by the fabric
= 4 × Area of one face
= 4 × 30 × height
= 120 h
According to the question,
120 height = 7200
height = 60 cm
Hence, the height of the box = 60 cm,
The volume inside the kite = The base area of the box × Its height
= 30² × 60
= 900 × 60
= 54000 cm³
At burns high school 3/5 of the students are females of the female students 1/3 of them play volleyball what fraction of the students in burn high school are girls that play volleyball
3/5 of 1/3 means 3/5 x 1/3
[tex]\frac{3}{5} \times \frac{1}{3} = \frac{3}{15}[/tex]
3/15 simplifies to 1/5
So 1/5 of the students in the high school are girls who play volleyball
Help plzshsvddvdvvdb
9514 1404 393
Answer:
12 days
Step-by-step explanation:
The time is found by dividing the quantity by the rate of usage.
(3 gal)/(1/4 gal/day) = 3·4 day = 12 day
The tea will last for 12 days.
pentru triunghiurile congruente ijk si lmn sau scris cate trei congruente ale elementelor acestora scrie congruentele lipsa
i am just doing this so I can get more answers
Step-by-step explanation:
16.
C с
6.1 cm
А
B
120°
3.5 cm
o
Fig. 4.77 Circle
For the figure above:
(a) Calculate the area of the circle, centre 0.
(b) Calculate the area of the minor sector
АОВС.
(c) Calculate the area of the triangle AOB.
(d) Determine the area of the segment ABC
22
7
d determine the are of the segment ABC 22 7
Sarah has 31.2 pounds of dog food. She divides the food into bags that will hold 5.2 pounds each.
How many bags will Sarah fill with dog food?
Answer: 6
Step-by-step explanation:u divide 31.2 and 5.2
what is the equivalent fractions for 3/6 and 4/6
Answer: 1/2 and 2/3
Step-by-step explanation:
Two cards are drawn without replacement from a standard deck of 5252 playing cards. What is the probability of choosing a heart and then, without replacement, a spade? Express your answer as a fraction or a decimal number rounded to four decimal places
Answer:
[tex]\frac{13}{204}[/tex] ≈ 0.0637
Step-by-step explanation:
Given: Two cards are drawn without replacement from a standard deck of 52 playing cards.
To find: probability of choosing a heart and then, without replacement, a spade
Solution:
Probability refers to chance of occurrence of any event.
Probability = Number of favorable outcomes ÷ Total number of outcomes
Total number of cards = 52
Number of hearts = 13
So,
probability of choosing a heart = [tex]\frac{13}{52}=\frac{1}{4}[/tex]
Number of remaining cards = [tex]52-1=51[/tex]
Number of spades = 13
Probability of choosing a spade = [tex]\frac{13}{51}[/tex]
Events consisting of choosing a heart and spade are independent.
So,
Probability of choosing a heart and then, without replacement, a spade =
Probability of choosing a heart × Probability of choosing a spade
= [tex]\frac{1}{4}(\frac{13}{51})=\frac{13}{204}[/tex] ≈ 0.0637
You are going on a long trip and wants to calculate your miles per gallon. When you start your trip your odometer read 91709 miles. At the end of your trip your odometer reads 91961 miles. You started with a full tank and to return you put 7 gallons of gas total. What is your miles per gallon?
Answer:
36 miles per gallon
Step-by-step explanation:
91961 - 91709 = 252 miles driven
252 miles / 7 gallons = 36 miles per gallon
Find the area of the shaded polygons
Answer:
8
Step-by-step explanation:
you can find matches that make 1 and add them all up
Answer:
8 because of rsm
Step-by-step explanation:
I need the scale factor of this please, its due today:)
Answer: The scale factor is 3:1 because if you look at the T Point to T', it has a space of 3. Pardon for any mistakes. Good Luck!
Step-by-step explanation:
HURRY IM TIMED
WILL GIVE BRAINLIEST FOR RIGHT ANSWER
Which equation can be used to find 55 percent of 900?
[tex] \frac{55 \times 1}{900 \times 1} = \frac{55}{900} \\ \\ \frac{100 \times 16.36}{55 \times 16.36} = \frac{1636}{899.8} \\ \\ \frac{900 \times 9}{100 \times 9} = \frac{8100}{900} \\ \\ \frac{55 \times 9}{100 \times 9} = \frac{495}{900} [/tex]
Answer: The last one
Just find it regularly by multiplying .55 by 900 to get the answer then choose the one that will give said answer.
Also eliminate the ones that are over 100% like the 2nd and 3rd one
Since its over 50% we know 55 isnt 1/2 of 900.
Can y’all help me on a question 15?!
Please need help thank
Answer:
1
Step-by-step explanation:
One member in the graph only went one time which is fewer than two times.
3 2/5 + 4 2/7 = _________
2 5/8 + 6 1/6 = _________
4 8/10 + 5 2/6 =________
6 7/12 + 3 19/14 = _______