The required equation that represent or approximate the population is:
[tex]\mathrm P(t) = 1,500 \times 3^{(1/7)}^t[/tex]
To represent the population, P, as a function of time in days, t, we need to find an exponential growth equation.
Since the population grows exponentially by a factor of 3 every week, we need to convert the weekly growth to daily growth.
Let's break down the problem step by step:
The population grows by a factor of 3 every week.There are 7 days in a week, so the daily growth factor can be calculated by taking the 7th root of 3. (Growth factor per day = [tex]3^{(1/7)[/tex])The initial population is 1,500.Now, we can represent the population, P, as a function of time, t, using the exponential growth equation:
[tex]\mathrm P(t) = \mathrm{Initial \ Population} \times \mathrm {Growth \ Factor}^t[/tex]
where:
Initial Population (Po) = 1,500 (given)
Growth Factor per day = [tex]3^{(1/7)[/tex]
So, the equation representing the population as a function of time in days is:
[tex]\mathrm P(t) = 1,500 \times 3^{(1/7)}^t[/tex]
Hence the required equation that represent or approximate the population is:
[tex]\mathrm P(t) = 1,500 \times 3^{(1/7)}^t[/tex]
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25 points
A triangular prism has a height of 5.5 yards and a triangular base with the following dimensions.
What is the value of B?
41.25 yd 2
40 yd 2
120 yd 2
60 yd 2
Answer:
60 sq yd
Step-by-step explanation:
B = area of the base of the prism = area of the triangle
= bh/2 b = 15 h = 8
= 8*15/2
= 60 sq yd
A national manufacturer of ball bearings is experimenting with two different processes for producing precision ball bearings. It is important that the diameters be as close as possible to an industry standard. The output from each process is sampled and the average error from the industry standard is measured in millimeters. The results are presented next.
Process A Process B
Sample mean 2.0 3.0
Standard deviation 1.0 0.5
Sample size 12 14
The researcher is interested in determining whether there is evidence that the two processes yield different average errors. The population standard deviations are unknown but are assumed equal. If What is the decision if we use 1% level of significance?
a. Fail to reject the null hypothesis and conclude the means are different.
b. Reject the null hypothesis and conclude the means are different.
c. Fail to reject the null hypothesis and conclude the means are the same.
d. Reject the null hypothesis and conclude the means are the same.
Answer:
b). Reject the null hypothesis and conclude the means are different.
Step-by-step explanation:
A hypothesis is characterized as null when the data/statistics display that there is no distinction between the particular features of the groups. As per the details provided, the decision would be to 'reject/deny the null hypothesis and deduce that the means of the processes are different.' This shows that there is no association among the variables due to the distinction in the means of the two processes and other data provided. Thus, option b is the correct answer.
Which of the following set of angle measures represents the measures of the angles of a triangle?
One radius of a circle is the same length as any other radius of the same
circle.
A. True
B. False
A. True
In a circle, all radii have the same length. The radius is the distance from the center of the circle to any point on its circumference. Since the center is equidistant from all points on the circumference, all radii will have the same length. Therefore, the statement is true.
Help set up the equation :D the answer in the answer box is wrong
Options are:
80
45
90
100
=>x+45+45=180°
=>x+90=180°
=>x=180°-90°
=>x=90°
Question 5(Multiple Choice Worth 5 points)
(07.04 LC)What is the solution to the equation 1/4x=5?
9514 1404 393
Answer:
x = 20
Step-by-step explanation:
Multiply both sides of the equation by 4 to make the coefficient of x be 1. This will show you the solution.
4(1/4)x = 4(5)
x = 20
A researcher wishes to test whether the mean of a normally distributed population is greater than 1.06 at the 5% significance level. Based upon 22 independent observations, she observes a sample mean of 1.77 and a sample standard deviation of 0.84. Determine the critical value of the test rounded to the nearest hundredth. (Rounding counts!).
Answer:
t- critical value =1.721
Step-by-step explanation:
Given
Sample size =n=22
Degree of freedom = sample size -1 = 22-1 =21
The significance level is 5%. This indicates that the test is right tailed.
The alpha value = 0.05
For given right tailed test, with value of alpha = 0.05 and degree of freedom = 21, the t- critical value =1.721
OKK PLEASE HELP if correct will give brainliest help and 5 star pls help by 1230 pt
List the side lengths from shortest to longest. (20 points)
Answer:
b, a, c
Step-by-step explanation:'
The side opposite of the smallest angle(50) is always the smallest, which means b is the smallest
Hope this helps!
Answer:
b ,a ,c
Step-by-step explanation:
The side opposite the smallest angle is the shortest
The smallest
x = 180 - 70 -62 = 48
48 is the smallest angle so b is the smallest side
The side opposite the largest angle is the longest side
70 is the largest angle so c is the longest side
b ,a ,c
help will give max points and branlisest plls HELP ASAP BY 1230pt thanks ;]
Answer:
120cm^3
Step-by-step explanation:
Solve for p.
p + 36 = 73
p =
Answer:
p=37
Step-by-step explanation:
to get p by its self, you would do:
p+36=73
-36=-36
p=37
Answer:
37
Step-by-step explanation:
Does the commutative property work for subtraction and division?
no
yes
Answer:
NO!
Step-by-step explanation:
:-p
someone please help!! will reward brainliest!
Add 7 to both sides seems like the best next step.
If not then add 9.
Tell me if i'm wrong
Answer:
Add 7 to both sides
I think that's the answer
what is 75 as a fraction of 125? give your answer in its simplest form.
75 as a fraction of 125 would be 75/125
Now Lets simplify
75/25=3
125/25=5
We get 3/5
We can not reduce 3/5 anymore, so the answer is 3/5
A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25. 75 is 3/5 fraction of 125.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
Let 75 be x fraction of 125. Therefore, we can write the statement as,
x × 125 = 75
x = 75/125
x = 3 /5
Hence, 75 is 3/5 fraction of 125.
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45 basketball players participate in a tournament there are a total of 15 teams that will play write and solve an equation of number players on each team
Answer:
3
Step-by-step explanation:
45 players / 15 teams = 3 people per team
125
Solve for <1.
41 = [?]
21
37°
88°
Answer:
<1+125=180°{linear pair}
<1=180-125
<1=55
5. What is the value of 8 in the unit circle below?
30°
600
b.
45°
d.
90°
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Answer:
θ = 60°
Step-by-step explanation:
The angle is more than 45° and less than 90°. The only viable choice is ...
θ = 60°
__
We can only read the x-coordinate of the point on the terminal ray. It is 1/2, which is the cosine of 60°. The angle must be 60°.
Gordon types 2,508 words in 38 minutes. Find the unit rate. Gordon types words per minute.
Answer:
66 words per minute
Step-by-step explanation:
In 38 minutes , words that can be typed by Gordon = 2508 words
In 1 minute, words that can be typed by Gordon = 2508/38
= 66 words
Therefore Gordon types 66 words per minute.
hope it helps :)
Answer:
66
Step-by-step explanation:
To find the unit rate you would need to find how many words Gordon can type in one minute. To do that, all you need to do is divide 2,508 by 38 (which would get you 66 words). If you set up a proportion to solve this it would look somewhat like 2,508/28 = 66/1.
~ ~
plz help me this for my grade
Answer:
[tex]\text{Equation: }V=5\cdot 4\cdot 6,\\\text{Volume: }120\:\mathrm{in^3}[/tex]
Step-by-step explanation:
The volume of a rectangular prism is given by [tex]V=l\cdot w\cdot h[/tex].
Thus, we have the equation:
[tex]V=5\cdot 4\cdot 6[/tex]
Solving, we get:
[tex]V=5\cdot 4\cdot 6=\boxed{120\:\mathrm{in^3}}[/tex].
Answer:
120
Step-by-step explanation:
length time width time height
6 times 4 times 5
would be you equation the 120 would be your volume
Which statement is the best reason that the author includes conversations with the dog in the book Travels with Charley? A. It shows that a dog really is a man’s best friend. B. This dog is unusually responsive to people. C. It presents an alternative way for the author to show his thoughts. D. The author cannot find any people to talk to.
Answer its b because im right
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
What is the value of r, in inches?
7 in.
B
1403
30°
D
21
X
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Answer:
A. 7√3
Step-by-step explanation:
The side length ratios in a 30°-60°-90° triangle are 1 : √3 : 2. Here, the shortest side is 7, and x is the next-longer side.
x = 7√3
One pipe fills an empty tank in 3 hours. A second pipe fills the same tank in 6 hours. A third pipe can empty the full tank in 5 hours. If all three valves were left open, how long would it take to fill the empty tank?
Help guys plzzzz I’ll part you brainlist !!!!
Answer:
> is the answer because 10 × X > 80
Solve for x in this equation: 3/4+ |5-x| = 13/4
Answer:
x = 2.5 or 7.5
Step-by-step explanation:
Subtract 3/4.
|5 -x| = 10/4 = 2.5
This resolves to two equations:
5 -x = 2.5 ⇒ x = 5 -2.5 = 2.55 -x = -2.5 ⇒ x = 5 +2.5 = 7.5The solutions are x = 2.5 or 7.5.
Use summation notation to write the series -1+2-4+8-16... for 12 terms
Answer:
The first 12 terms of the series are represented by:
[tex]f(12) = \Sigma\limits_{i = 1}^{12} [(-1)^{n}\cdot 2^{n-1}] = -1 + 2 - 4 + 8 - 16 + 32 - 64 + 128 -256 + 512 - 1024 + 2048[/tex]
Step-by-step explanation:
The summation notation for the series [tex]-1 + 2 -4 + 8 -16...[/tex] is represented by the expression [tex]f(n) = \Sigma\limits_{i = 1}^{n} [(-1)^{n} \cdot 2^{n-1}][/tex].
The first 12 terms of the series are represented by:
[tex]f(12) = \Sigma\limits_{i = 1}^{12} [(-1)^{n}\cdot 2^{n-1}] = -1 + 2 - 4 + 8 - 16 + 32 - 64 + 128 -256 + 512 - 1024 + 2048[/tex]
WILL
GIVE
BRAINLIST
...
..
MATH
Answer:
+213
Because its above sea level it means positive but if it is below sea level it is negative.
A mathematics textbook has 6 pages of instruction for every 2 pages of practice problems. How many pages of instruction does it have for every page of practice problems? (NO LINKS, IF I SEE A LINK I'LL TAKE IT DOWN
Answer:
3 pages of instruction for every practice problem
Step-by-step explanation:
HURRYYYYYYYY
If x 3 = -27, then what is x?
-9
-3
3
9
Answer:
Step-by-step explanation:
x/3=—27/3
Therfore, x=-9
A
Please help me find 'x' your help would be much appreciated
-Thanks
Answer:
x=25.
Step-by-step explanation:
We know because of corresponding angles, the sum of the angle adjacent to (2x-5) and (2x-5) is 180 degrees
2x-5+5x+10=180
7x+5=180
7x=175
x=25