Using the given function, it is found that:
a) 20 insects were discovered.
b) The population after 5 years will be of 417 insects.
What is the function for the number of insects after t months?As stated in the exercise, it is given by:
[tex]P(t) = \frac{60(1 + 0.4t)}{0.01t + 3}[/tex]
Item a:
[tex]P(0) = \frac{60[1 + 0.4(0)]}{0.01(0) + 3} = \frac{60}{3} = 20[/tex]
20 insects were discovered.
Item b:
5 years = 60 months, hence:
[tex]P(60) = \frac{60[1 + 0.4(60)]}{0.01(60) + 3} \approx 417[/tex]
The population after 5 years will be of 417 insects.
More can be learned about functions at https://brainly.com/question/25537936
A triangle has an area of 54 m² and a height of 9 m.
How long is the base of the triangle?
Enter your answer in the box.
Answer:
base = 3
Step-by-step explanation:
The area of triangle is calculated using the following formula:
1/2*b*h (b: base, h: height)
The area and height is given, to find the base we can make the following equation:
1/2*b*9 = 54
9b/2 = 54 multiply both sides by 2
9b = 27 divide both sides by 9
b = 3
Point q is located on the coordinate grid at (-9.73,-3.32) in which quadrant is point q called
Answer:
III
Step-by-step explanation:
The signs of both x and y are negative in the 3rd quadrant.
__
x-values are negative in the left half-plane.
y-values are negative in the bottom half-plane.
Both coordinates are negative in the lower-left quadrant, number III.
The radius of Circle A is 4 cm. The radius of Circle B is 4 cm greater than the radius of Circle A. The radius of Circle C is 5 cm greater than the radius of Circle B. The radius of Circle D is 3 cm less than the radius of Circle C. What is the area of each circle? How many times greater than the area of Circle A is the area of Circle D?
*There are 4 parts*
Answer:
the area for
a=16pi or 50.26548...
b=64pi or 201.061329...
c= 169pi or 530.929158...
d=100pi or 314.159265
d is 19.7392088... or 6.25pi times greater than a
Step-by-step explanation:
the decimal values are more accurate for the d is greater than circle a
so you start with a=4 in radius then b=a+4, c=b+5, d=c-3
then solve the equation a=4, b=8, c=13, d=10
then you solve for the area using the formula radius squared pi
getting the answers above
as for the second answer you would divide d to a getting the amount of times more above for circle d and circle a
If 3^2x1 = 3^x+5, what is the value of X?
Answer:
2x + 1 = x + 5
x = 5-1
x = 4
Step-by-step explanation:
Smmy pays $2 73 for each gallon of gas, which table best represents the relationship between the number of gallons
purchased, and the amount he pays for gas?
Answer:
Label ELabel E
Step-by-step explanation:
Label ELabel ELabel k
by how much is 5547g greater than 8837 mg
Answer:
5 538 163
Step-by-step explanation:
convert 5547 g to mg
5547×1000=5547000mg
5547000mg-8837mg= 5 538 163mg
Answer:
5538.2
Step-by-step explanation:
convert 8837mg to g
8.8
minus that from 5538=
5538.2
need help with math problm i give 5 star and brainly point
Answer:
59.5 here 4 minute late but i hope it helps
Step-by-step explanation:
Hi can you show me how to do thistles and
Answer:
#6:
Step-by-step explanation:
#6
So these two angles are actually the same. Since the lines l and m are parallels and those angles are opposite from each other, they are the same.
This means you can solve for x by saying:
3x-63 = 2x+2
x = 65
#7
Since the l and m are parallels, and the angles are NOT opposite, when you add the two angles together, you should get 180 degrees
So:
(2x + 20) + (6x + 24) = 180
x = 17
solve this plsssssss
Let's see
LHS
(-8/9×1/-5)+(-8/9×-7/11)Keep it stay
RHS
-8/9(1/-5+-7/11)Use distributive law
(-8/9×1/-5)+(-8/9×-7/11)Hence proved
Jill leaves work from the High School, but has to pick up her friend at the airport before going back home. What is the shortest distance she can travel?
A. 27 miles
B. 21 miles
C. 56 miles
D. 84 miles
Answer:
B. 21 miles
Step-by-step explanation:
The shortest overall route will be the sum of the shortest routes between way points.
The shortest route from the High School to the Airport is the direct route, 15 cm on the map. The shortest route from the Airport to Jill's house is via the High School and City Hall, a total of 15+12+21 = 48 cm on the map.
The shortest distance Jill can travel from work to home via the airport is ...
(15 cm +48 cm)/(3 cm/mi) = 21 miles
Answer:
person above is correct it is 21
PLEASE HELP WILL MARK BRAINLIEST THANK YOU
Whats 0.3(x-5)=7.2 as a numerical
Answer:
x=29
Step-by-step explanation:
0.3(x-5)=7.2
multiply by 10
3(x-5)=72
divide by 3
[tex]x-5=\frac{72}{3} \\x-5=24\\x=24+5\\x=29[/tex]
Camila has a coin collection. She keeps 13 of the coins in her box, which is 10% of the
collection. How many total coins are in her collection?
Answer:
130
Step-by-step explanation:
We need to keep adding 13 together until we have done this 10 times :)
10%: 13
20%: 26
30%: 39
40%: 52
50%: 65
60%: 78
70%: 91
80%: 104
90%: 117
100%: 130
Have an amazing day!!
Please rate and mark brainliest!!
what is the five-number summary of this data set? 852,687,515,986,907,784,967,685,965
Min is 515
What is Q1, Q2,Q3?
Max is 986
Answer:
so q1 is 686 q2 is 852 q3 is 966
Step-by-step explanation:
hope this helps
Need help with this question.Find the value of x
Answer:
x=14
Step-by-step explanation:
According to Thales' theorem, the triangle inside 6,7,8 is similar to the triangle 12,x,16:
[tex]\frac{12}{6}= \frac{16}{8} =\frac{x}{7} =2[/tex]
[tex]x=7(2)=14[/tex]
Hope this helps
Find the Area in yards.
12 mi
6.9 mi
Answer:
82.8
Step-by-step explanation:
multiply the 2
1 2
6.9
9×2=18
9×1=9
10.8
72.0
____
82.8
dado el polinomio de variable "x", identicamente nulo (3n-9)x^5+(m-2)^3+(p+7)=0
entonces halla el valor de
El valor de "n" es
El valor de "m" es:
El valor de (n + m + p) es:
The value of n is 3, value of m is 2 and the value de m + n + p is -2.
How to identify a null polynomialIn this question we must analyze a null polynomial and determine three unknown variables. A null polynomial is those whose coefficients are equal to zero.
Therefore, we must resolve the following system of linear equations:
3 · n - 9 = 0 (1)
m - 2 = 0 (2)
p + 7 = 0 (3)
The solution of this system of linear equations is: n = 3, m = 2, p = -7. The value of n is 3, value of m is 2 and the value de m + n + p is -2. [tex]\blacksquare[/tex]
To learn further on polynomial, we kindly invite to check this verified question: https://brainly.com/question/23542646
2 triangles. One triangle has side lengths x, 3 units, 4 units. The other triangle has side lengths 11 units, y, 8 units. The two figures are the image and pre–image of a dilation. Find the lengths of the missing sides. x = units, y = units
Answer:
5.5 and 6
Step-by-step explanation:
i got it wrong and it told me this was the correct answer
Answer:
5.5 and 6
Step-by-step explanation:
AA culture started with 4000 bacteria. after 5 hours it grew to 4800 bacteria. Predict how many bacteria will be present after 15 hours. Round your answer to the nearest whole number. p=ae^kt
Answer:
p = 6912 after 15 hoursp = 4000·e^(0.036463t)Step-by-step explanation:
We want to model the growth of a population of bacteria using an exponential function. We find it convenient to use an "exact" exponential function that relies directly on the numbers given in the problem statement. That function has the form ...
p(t) = (initial population) × (growth factor)^(t/(growth period))
where the "growth factor" is the multiplying factor of the population in period "growth period."
__
Exponential Function (1)Here, the "growth factor" is 4800/4000 = 1.2, and the corresponding "growth period" is 5 hours. Then the population function can be ...
p(t) = 4000×1.2^(t/5)
__
PopulationThe population after 15 hours is ...
p(15) = 4000×1.2^(15/3) = 4000×1.728
p(15) = 6912
__
Exponential Function (2)To change this to the form ae^(kt), we find the value of k to be ...
k = ln(1.2^(1/5)) = ln(1.2)/5 ≈ 0.036463
Then the desired form of the function for p is ...
p(t) = 4000·e^(0.036463t)
_____
Additional comment
In the form p=ae^(kt) the value of k is often rounded to 3 or 4 decimal places. We believe that best accuracy is obtained if k has at least the number of significant digits expected in the answer. Here, the population of almost 7000 has 4 significant digits, so we choose to express k to 5 significant figures. That still gives a small error relative to the first formula that is only "corrected" by rounding the result to an integer.
please help i will mark as brainlest please help me
the answers are supposed to be
a) 8.37 cm b)54.5 cm c) 10.4 cm
Answer:
A.Step-by-step explanation:
Here is how I found it:
Flip the picture 180°.Then, measure the angle.Required:
The angle is 90°.If you don't pay attention, you might mistake it for a 150° angle.Correct choice is A.
PLSSS HELP WHOEVER DOES THE CORRECT WILL GET BRAINLIEST
Ray is x years old. His brother Ron is y years older than Ray.
How old was Ray 3 years ago?
Answer: x-3
Step-by-step explanation:
It’s a variable
Jeff had $20 he spent 1/5 of his money on lunch how much money does Jeff have left
Answer:
4
Step-by-step explanation:
had to look it up but do 20 x 0.2 (1/5) and u get 4
Which point is on the graph of the inverse function g–1(x)?
(–3, 0)
(0, –3)
(2, 3)
(3, 4)
Answer:
A
Step-by-step explanation:
The answer is (-3,0) which is A.
Answer:
A
Step-by-step explanation:
What the value of q?
Step-by-step explanation:
this is very simple.
you can compare this to the question "in my bag are 70 pieces of fruit. 30 of them are apples. how many pieces of other fruit are there ?"
well, it is 70 - 30 = 40 !
that's it ! that is all there is to it.
so, q = 40°
what is still unclear, please ?
Which prism has the greatest volume?
Show Your Work
Sin
12 in
7
85
O ant
Answer:
D, the last prism, with a volume of 512cm^3
Step-by-step explanation:
A: 5 x 7 x 12 = 420
B: 8.5 x 11 x 3 = 280.5
C: 3 x 13 x 11 = 429
D: 8 x 8 x 8 = 512
512 is the biggest. D.
Please let me know if I mis-read any of the numbers - it's quite hard to see.
If you need further explanation, let me know!
- profparis
can someone pls answer both of these questions
WILL MARK BRAINLIEST
Answer:
Sorry I only know answer to the second question
That is 12000
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
If you roll a dice 500 times how many times do you expect to get a 5?
Answer:
20
Step-by-step explanation:
60%
If tanθ= 2/5 find cosθ using identities. This is in quad. 1.
Answer: 5/2
Step-by-step explanation:
if xy=2√3 the value of x^4+y^4=?
Step-by-step explanation:
wrong question or incomplete question
SU is a midsegment of AQRT.
If OR = z-40 and SU = z - 49, what is the value of z?
I just need one example to understand this because forgot how to do it
Answer:
z = 58
Step-by-step explanation:
Since SU is a midsegment of QRT, the length of SU is one-half the length of RQ.
[tex] \frac{1}{2} (z - 40) = z - 49[/tex]
[tex]z - 40 = 2z - 98[/tex]
[tex]z = 58[/tex]