what is exponential decay
Answer:
Exponential decay is the decrease in a quantity according to the law. (1) for a parameter and constant (known as the decay constant), where is the exponential function and is the initial value.
Answer:
When a population or group of something is declining, and the amount that decreases is proportional to the size of the population, it's called exponential decay. In exponential decay, the total value decreases but the proportion that leaves remains constant over time.
Step-by-step explanation:
You randomly survey men and women about whether they plan to watch a football game on Sunday afternoon. A total of 40 men plan to watch a football game and a total of 17 women do not plan to watch a football game. A total of 45 women are surveyed. A total of 33 people do not plan to watch a football game. How many people did you survey?
Answer: 101
Step-by-step explanation:
45 women total
17 women will not watch the game
So 33 people did not want to watch the game and 17 are women
33-17 = 16 men who won’t watch the game
So 40 men who will and 16 men who won’t equals 56 men and 45 women
56+45= 101
2. Sumara Kato's savings account has a balance of $1663. After 19 years, how much interest
will she have eamed if her rate is 5.5% compounded annually?
Answer:
Step-by-step explanation:
interest = Amount - principal
A = P(1+r)^t
r = 5.5% = 5.5/100 = 0.055
A = 1663(1+ 0.055)^19
A = 1663 (1.055)^19
A = 4,599.270812203411
Let’s say A = 4,599
interest = 4,599-1663 = 2,936
whats 21/40 in equivalent decimals
what is m if 9/7m= 1/7
Answer: [tex]m=\frac{1}{9}[/tex]
Step-by-step explanation:
[tex]\frac{9}{7}m=\frac{1}{7}[/tex]
Multiply by the reciprocal to isolate m.
[tex](\frac{7}{9} )\frac{9}{7}m=\frac{1}{7}(\frac{7}{9} )[/tex]
[tex]m=\frac{1}{9}[/tex]
The radius of a cylindrical water tank is4.5ft , and its height is12ft . What is the volume of the tank? Use the value for , and round your answer to the nearest whole number. Be sure to include the correct unit in your answer.
Answer:
[tex]763 ft^3[/tex] or 763 cubic feet.
Step-by-step explanation:
The tank is cylindrical and the volume of a cylinder is given as:
[tex]V = \pi r^2h[/tex]
where r = radius and h = height
The radius, r, of the tank is 4.5 ft and the height, h, of the tank is 12 ft.
Therefore, the volume of the cylindrical water tank is:
[tex]V = \pi * 4.5^2 * 12\\V = 763.407 ft^3[/tex]
Approximating to whole number, the volume of the tank is [tex]763 ft^3[/tex] or 763 cubic feet.
Researchers once surveyed students on which superpower they would most like to have. The following two-way table displays data for the sample of students who responded to the survey.
What percent of students in the sample were male?
Round your answer to the nearest percent.
Answer:
14/50 or 28%
Step-by-step explanation:
THERE ARE 14 MALES WHO CHOSE INVISIBILITY AND 50 MALES IN TOTAL.
EZPZ
Find the surface area.
Any help will be appreciated thank you
Answer:
Find the area of the shape
First the two triangles
3 x 4 = 12 so the area of both triangles is twelve
Now it is only 1 big rectangle left
The side lengths can be added 3 + 4 + 5 = 12
12 x 11 = 132
132+12=144
144 is the surface area/area
If you have any questions please ask
Step-by-step explanation:
Frank measured 56 cm. The actual length was 61 cm. Which expression shows his percent error?
Answer: 8.54701% difference
Step-by-step explanation: (61-56)/[(61+56)/2] x 100= 8.55%
What is the first step to solving the quadratic equation x2=9over 16
Answer:
divide both sides by 2
Step-by-step explanation:
divide both sides by 2 then simplify and get x = 9 over 32
Answer:
Transposing square to rhs,it becomes root
Step-by-step explanation:
[tex]x^{2} =9/16[/tex]
[tex]x=[/tex][tex]\sqrt{9}/\sqrt{16\\[/tex] (transposing square to rhs,it becomes root)
[tex]x= 3/4[/tex]
Hope it helps...Pls mark as Brainliest!!!
y = 2 - 2
y = 3x +4
Is (4, 2) a solution of the system?
Choose 1 answer:
А)
Yes
B
No
Answer:
B. No
Step-by-step explanation:
In order to see if (4, 2) is a solution, we have to plug 4 in for x and 2 in for y in the equations. If it's a true statement, then we know that the point is a solution.
One of the equations is y = 3x + 4. Plug in 4 for x and 2 for y:
y =? 3x + 4
2 =? 3 * 4 + 4
2 =? 12 + 4
2 ≠ 16
Thus, we know that (4, 2) is not a solution and the answer is B.
~ an aesthetics lover
If P(A)=35, P(B)=13, and P(A∩B)=18, are A and B independent?
Select the option that provides both the correct answer and the correct reason.
No, because 35(13)≠18.
Yes, because 35(13)=18.
Yes, because 35+13=18.
No, because 35÷13≠18.
No, because 35+13≠18.
Answer:
P(A) x P(B) = 35 x 13 = 455
P(A∩B) = 18
=> P(A) x P(B) ≠ P(A∩B).
=> A and B are not independent.
=> Option A (No, because 35(13)≠18) is correct.
Hope this helps!
:)
A and B are not independent because 35(13)≠18), the correct option is A
What is the independent probability?Independent events and probability can be defined as those occurrences that are not dependent on any specific event.
P(A)=35, P(B)=13, and P(A∩B)=18, are A and B independent.
It is to note here that A and B are the odd number outcome and multiples of 3 respectively. So, P (A ∩ B) = 18
P(D│E) = P (D ∩ E)/ P(B)
P(D│E) = 18/13
Here P(D) = P(D│E) = 18/13, which entails that the occurrence of event E will not be affected by the probability of event D’s occurrence.
Taking A and B as independent events, then P(D│E) = P(D).
Here, A and B are not independent because 35(13)≠18), the correct option is A.
Learn more about probability here;
https://brainly.com/question/11234923
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Find the percent of all values in a normal distribution for which z ≤ 1.00, to the nearest tenth of percent.
Answer:
84.1% of all values in a normal distribution have z ≤ 1.00.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
The percent of all values in a normal distribution for which z ≤ 1.00.
This is the pvalue of Z = 1.
Z = 1 has a pvalue of 0.8413.
Converting to percentage, to the nearest tenth.
84.1% of all values in a normal distribution have z ≤ 1.00.
Scarlett bought 9 chicken wings for $3. What was the cost of the wings in wings per dollar? Express your answer in simplest form.
Answer:
3
Step-by-step explanation:
To find how much you can get for one dollar, you have to divide 9 by 3. If you have to find how many units can you get for one dollar, (you need to divide the larger number by the smaller)
Divide 9 by 3.
9/3=3
So, with $1, you can get 3 chicken wings.
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Answer:
8
Step-by-step explanation:
7*4=28
2*4=8
Answer:
c=8
Step-by-step explanation:
Using cross. multiplication
multiply 2 by 28 2x28=56
Multiple c by 7 cx7=7c
divide both sides by 7
c=8
When we plot all the points that satisfy an equation or inequality we __ it.
-4x = -1/2(10x + 18)
Answer:
x = -9
Step-by-step explanation:
-4x = -1/2(10x + 18)
Distribute
-4x= - 5x -9
Add 5x to each side
-4x+5x = -5x+5x -9
x = -9
Emter 2/2/8 as an inpropper fraction
Answer:
The answer is 9/4
Step-by-step explanation:
A washer and a dryer cost 1021 combined. The washer costs 71 more than the dryer. What is the cost of the dryer?
Answer:
475
Step-by-step explanation:
1021-71
950/2
The high for Monday was 0 degrees Fahrenheit and the low was -4 degrees Fahrenheit. What is the difference between the high and low temperature?
Beth participated in a free throw contest. She took 10 shots, and she made 6 of them.
Beth wants to know how to describe the number of baskets she made.
Answer:
Beth made 60% of her shots.
Step-by-step explanation:
Given:
Total shots take = 10
Total goal = 6
Find:
Best describer this number.
Computation:
Converting goal numbers into percentage:
⇒ Total goal percentage = [Total goal/Total shots take]100
⇒ Total goal percentage = [6/10]100
⇒ Total goal percentage = 60%
Beth made 60% of her shots.
Answer:
6:10 is the ratio
Step-by-step explanation:
as a fraction it would be 6/10
as a decimal it would be 0.60 or 0.6
and she made 60% of her shots
What is 2/3 ÷ 4/5 = ?
Answer:
5/6
Step-by-step explanation:
2/3 ÷ 4/5 = ⇒ changing division to multiplication by reciprocal of the second fraction2/3 × 5/4 = ⇒ simplify and multiply numerators and denominators5/6 ⇒ here is the answerPlease help!! A box contains 7 yellow, 5 blue, and 4 red balls. Three balls are drawn at random. What is the probability that exactly two balls are yellow?
Answer:
7/16 or (if you are looking for a word) likely
Step-by-step explanation:
Find the value of "Y" if;
Y-3 [4-2Y] = 16
Answer:
y=4
Step-by-step explanation:
hello :
Y-3 (4-2Y) = 16
y-12+6y = 16
7y-12=16
so :7y =12+16
7y=28
y=28/7 =4
Which of the following values is a solution to the inequality? 12 – 5x > -8
Answer:
x < 4
Step-by-step explanation:
12 – 5x > -8
Subtract 12 from each side
12-12 – 5x > -8-12
-5x> -20
Divide each side by -5, remembering to flip the inequality
-5x/-5 < -20/-5
x < 4
Please help asap! Will give brainliest! Please answer correctly! No guessing. Check all that apply.
Answer:F
Step-by-step explanation:
Answer:
i honestly think that its A, C, D, F.
Step-by-step explanation:
for the A i think that you need to write down the facts so you dont forget and you remember when someone asks you a question.
For C you should gather your resources so you can do the experiment again if your not satisfied with the first result.
For D you should draw a diagram so you can keep track of your information that you used to get the final solution.
For F, you should always make sure that you didn't mess up and that you can redo it to double check.
Find the slope and y-intercept of the graph of the linear equation.
12. y= 4x
Answer:
Slope = 4, y-intercept = (0,0)
Step-by-step explanation:
This problem is written in slope-intercept form. Meaning it is in the form y=mx+b. "M" is the slope, and "B" is the y-intercept. With that information, we easily see that 4 is the slope of the graph (it will go up 4 points for everyone one point it goes right). It seems that there is no y-intercept though, that is because we are expected to know that y=4x is the same as y=4x+0. Meaning, the problem can also be written this way and the y-intercept must be 0.
a, b , c and d are four integers.
their mean is 8.
their mode is 7.
their median is 7.5.
find the four integers
The four integers are 7, 7, 8, 10
What are the integers ?
Four integers are a, b, c, d
Mean = Sum of integers/Total number of integers
= (a+b+c+d)/4
According to the question,
Mean = 8
i.e. (a+b+c+d)/4 = 8
⇒ a+b+c+d = 32 ......(1)
Median (for even no. of integers) = ([tex]\frac{n}{2}^{th} +(\frac{n}{2}+1)^{th}[/tex] term)/2
= (2nd+3rd term)/2
= (b+c)/2
According to the question,
Median = 7.5
i.e. (b+c)/2 = 7.5
⇒ b+c = 15 .....(2)
We know that, most frequent data is the mode.
So, mode = 7 means the number 7 occurs most frequently.
7 is not more than 2 times, because if 7 occurs 3 times, then 2nd & 3rd term will be 7 & median will be (7+7)/2 i.e. 7, so 3rd term must be larger than 7 to adjust the median value, which is 7.5
Then 1st two integers are 7 & 7
i.e. a = b = 7
Now, from (2), b+c = 15
⇒ 7+c=15
⇒ c =15-7
⇒ c = 8
Now, from (1) we get, a+b+c+d = 32
⇒ 7+7+8+d = 32
⇒ 22+d = 32
⇒ d = 32-22
⇒ d = 10
So, a = 7, b = 7, c = 8, d = 10
Learn more about mean, median, mode here :
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What is the value of x?
Answer: x = 9, y = 5
Step-by-step explanation:
If all of the sides are equal, it is an equilateral triangle. Equilateral triangles are also equiangular. The angles of a triangle add up to 180 degrees, so each angle must equal 60 degrees.
set the equation equal to 60 to solve for x
7x - 3 = 60
add three to both sides
7x = 63
divide both sides by 7
x = 9
find y by setting the equation equal to 60
11y + 5 = 60
subtract 5 from each side
11y = 55
divide both sides by 11
y = 5
-189=4x-3(-4x+15) help me i need help badly
Answer:
Step-by-step explanation:
−189=4x−3(−4x+15)
−189=16x−45
16x−45=−189
16x−45+45=−189+45
16x=−144
16x /16
= −144 /16
x=−9
Good luck honey !!
Answer:
x=-9
Step-by-step explanation:
-3×-4= 12x -3×15=-45
4x+12x-45=-189
4x+12x=16x
16x-45=-189
16x=-144
x=-9
