Answer:
762 days
Step-by-step explanation:
Given
[tex]Rate = 200 + 10t + 13t^2[/tex]
Let the rate be R.
So the rate change with time is represented as:
[tex]\frac{dR}{dt} = 200 +10t + 13t^2[/tex]
So:
[tex]dR = (200 + 10t + 13t^2)\ dt[/tex]
To get the number of insects between day 0 and day 3, we need to integrate dR and set the bounds to 0 and 3
i.e.
[tex]dR = (200 + 10t + 13t^2)\ dt[/tex] becomes
[tex]\int\limits^3_0 {dR} \, =\int\limits^3_0 (200 + 10t + 13t^2)\ dt[/tex]
[tex]R =\int\limits^3_0 (200 + 10t + 13t^2)\ dt[/tex]
Integrate
[tex]R = 200t + \frac{10t^2}{2} + \frac{13t^3}{3} [3,0][/tex]
Solve for R by substituting 0 and 3 for t
[tex]R = (200*3 + \frac{10*3^2}{2} + \frac{13*3^3}{3}) - ( 200*0 + \frac{10*0^2}{2} + \frac{13*0^3}{3})[/tex]
[tex]R = (200*3 + \frac{10*9}{2} + \frac{13*27}{3}) - (0 + \frac{10}{2} + \frac{0}{3})[/tex]
[tex]R = (200*3 + 5*9 + 13*9) - (0)[/tex]
[tex]R = 600 + 45 + 117 - 0[/tex]
[tex]R =762[/tex]
The population of insect between the required interval is 762
The required change in the population of insects between day 0 and day 3 is 762.
Given that,
A population of insects increases at the rate of 200++ 10t + 13t2.
We have to determine,
What is the change in the population of insects between day 0 and day 3.
According to the question,
The rate change with time is represented as:
[tex]\frac{dr}{dt} = 200+10t+13t^{2}[/tex]
To determine the change in the population of insects between day 0 and day 3,
Integrating the given function with respect to time with limit 0 days to 3 days.
[tex]\int\limits^3_0 dr = \int\limits^3_0 (200+10t+13t^{2} ). dt\\\\\int\limits^3_0dr =\int\limits^3_0 \, 200dt + \int\limits^3_0 10tdt +\int\limits^3_0{13t^{2} dt\\\\\\\\R = [200t]^3_0 + [5t^{2} ]^3_0 + [\frac{13t^{3} }{3} ]^3_0\\\\R = 200[(3) - (0)] + 5 (3^{2} - 0^{2} ) + \frac{13}{3} [ 3^{3} - 0^{3} ]\\\\R = 200(3) + 5 (9) + \frac{13}{3}(27)\\\\R = 600+45+117\\\\R = 762[/tex]
Hence, The required change in the population of insects between day 0 and day 3 is 762.
To know more about Rate change click the link given below.
https://brainly.com/question/24540629
Find x in the given figure
Answer:
KNow
Step-by-step explanation:
I dont
Answer: x=9
Step-by-step explanation:
I'm pretty sure you make it,
4x+9=2x+27 then calculate
4x-2x=27-9 making 2x=27-9 then bringing it to
2x=18 then divide both sides to get
x=9
The locations of three fish relative to the water’s surface are –13 feet, –33 feet, and 22 feet. Which depth has the least absolute value?
Answer:
i think its -33 feet
Step-by-step explanation:
In the accompanying diagram, transversal EF intersects parallel lines AB and CD at G and H, respectively. If m∠EGB = 2x + 40 and m∠FHC = 3x - 10, what is the value of x
No diagram is provided but we can still work it out (it may vary).
So the from the description, we can tell that m∠EGB = m∠FHC through alternate exterior angles.
So,
m∠EGB = 2x + 40
m∠FHC = 3x - 10
m∠EGB = m∠FHC
2x + 40 = 3x - 10
40 = 3x - 2x - 10
40 = x - 10
40 + 10 = x
50 = x
x = 50
The value of x is 50
Make a frequency table in descending order in inclusive form from the data given below,
Selecting a class-interval of 4 units each :
12 16 17 14 15 17 19 21 23 26
13 19 11 12 13 15 18 20 18 12
16 17 22 14 7 8 9 8 12 11
Answer:
Class interval _ Frequency __cumm /frequency
26 - 23 _________ 2 _______ 2
22 - 19 __________5 ________7
18 - 15 __________ 9 _______ 16
14 - 11 __________ 10 _______26
10 - 7 ___________4 _______ 30
Step-by-step explanation:
Given the data:
12 16 17 14 15 17 19 21 23 26 13 19 11 12 13 15 18 20 18 12 16 17 22 14 7 8 9 8 12 11
Rearranged data:
7, 8, 8, 9, 11, 11, 12, 12, 12, 12, 13, 13, 14, 14, 15, 15, 16, 16, 17, 17, 17, 18, 18, 19, 19, 20, 21, 22, 23, 26
Using a class interval of 4 ; and arranging in descending order :
Class interval _ Frequency __cumm /frequency
26 - 23 _________ 2 _______ 2
22 - 19 __________5 ________7
18 - 15 __________ 9 _______ 16
14 - 11 __________ 10 _______26
10 - 7 ___________4 _______ 30
what is the perimeter of polygon lmnpq
Answer:what is the perimeter of polygon lmnpq
Step-by-step explanation:
PLEASE HELP!!! i’m taking a test rn and i don’t remember learning this!!!!
What shape should you sketch based on the center of the hyperbola and
a,b?
A. triangle
B. circle
C. trapezoid
D. rectangle
Answer:
Rectangle
Step-by-step explanation:
Isabel Briggs Myers was a pioneer in the study of personality types. The personality types are broadly defined according to four main preferences. Do married couples choose similar or different personality types in their mates? The following data give an indication.
Similarities and Differences in a Random Sample of 375 Married Couples
Number of Similar Preferences Number of Married Couples
All four 30
Three 128
Two 124
One 61
None 32
Suppose that a married couple is selected at random.
(a) Use the data to estimate the probability that they will have 0, 1, 2, 3, or 4 personality preferences in common. (Enter your answers to 2 decimal places.)
0 1 2 3 4
1 2 3 4 5
(b) Do the probabilities add up to 1? Why should they?
i. Yes, because they do not cover the entire sample space.
ii. No, because they do not cover the entire sample space.
iii. Yes, because they cover the entire sample space.
iv. No, because they cover the entire sample space.
(c) What is the sample space in this problem?
i. 0, 1, 2, 3 personality preferences in common
ii. 1, 2, 3, 4 personality preferences in common
iii. 0, 1, 2, 3, 4, 5 personality preferences in common
iv. 0, 1, 2, 3, 4 personality preferences in common
Answer:
a. Probability (0) = 36/375 = 0.096
Probability (1) = 61/375 = 0.162
Probability (2) = 124/375 = 0.330
Probability (3) = 128/375 = 0.341
Probability (4) = 30/375 = 0.08
b. iii) Yes, because they cover the entire sample space.
c. Obviously, the sample space in this problem is iv.
iv = {0,1,2,3,4} personality preferences in common.
Step-by-step explanation:
In this question, we are asked to calculated the probability of preferences in common.
As we know, the general formula for probability is:
Probability = Number of favorable outcome/ Total number of favorable outcomes
Data Given:
For 0 = 36
For 1 = 61
For 2 = 124
For 3 = 128
For 4 = 128
Total = 375 Married Couples
Probability (0) = Number of favorable outcomes/ Total Number of Favorable outcomes
Probability (0) = 36/375 = 0.096
Similarly,
Probability (1) = 61/375 = 0.162
Similarly,
Probability (2) = 124/375 = 0.330
Similarly,
Probability (3) = 128/375 = 0.341
Similarly,
Probability (4) = 30/375 = 0.08
b. Total Probability can never be greater than 1 and less than 0.
So, Probabilities of the sample will add up to 1
iii) Yes, because they cover the entire sample space.
Total Probability = P(0) + P(1) + P(2) + P(3) + P(4) = 1
Total Probability = 0.09 + 0.16 + 0.33 + 0.34 + 0.08 = 1
c. Obviously, the sample space in this problem is iv.
iv = {0,1,2,3,4} personality preferences in common.
rewrite the expression using the distributive property
2(4 + X)
Answer:
2(4 + X)
2*4 + 2*X
8+2X
thank you
Step-by-step explanation:
hope my answer is helpful to you
Answer:
EXPRESSION:2(4+X)
REWRITE ANSWER:2(4)+2(x)
⭕ 8+2x or 2x+8
Step-by-step explanation:
correct me if I am wrong
Solve for the value of m.
38°
(8m+4)°
Answer:
m = 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality PropertiesCombining Like TermsGeometry
Complementary Angles - Angles that add up to 90°Step-by-step explanation:
Step 1: Set Up Equation
The 2 angles must add up to 90°.
(8m + 4)° + 38° = 90°
Step 2: Solve for m
Combine like terms: 8m + 42 = 90Isolate m term: 8m = 48Isolate m: m = 6PLEASE HELP 100 POINTS TO WHO HELPS ME
Answer:
1. 13.65, 136.5, 1365
2. 57.14, 5.714, .5714
Step-by-step explanation:
Answer:
Step-by-step explanation:
1.
1.365 x 10^1 = 13.65
1.365 x 10^2 = 136.5
1.365 x 10^3 = 1365
2.
571.4 / 10^1 = 57.14
571.4 / 10^2 = 5.714
571.4 / 10^3 = 0.5714
3.
479 x 10^(-1) = 4.79 * 10^1 = 47.9
479 x 10^(-2) = 4.79 * 10^0 = 4.79
479 x 10^(-3) = 4.79 * 10^(-1) = 0.479
4.
89.15 x 10^3 = 8.95 * 10^4 = 89500
5.
217.5 / 10^2 = 2.175
6.
I can't see if that is a comma or period, so I will do both
4,000 x 10^(-3) = 4 * 10^(0) = 4
4.000 x 10^(-3) = 4 * 10^(-3) = 0.004
7.
89.25 / 10^1 = 8.925
8.
3.107 x 10^1 = 31.07
9.
45.2 / 10^3 = 0.0452
10.
2,100 x 10^(-2) = 2.1 * 10^1 = 21
11.
5.7 / 10^3 = 0.0057
12.
I can't see if that is a 2 or 3, so I will do both. Standard form refers to the usual way that numbers are written. Power to the 3 means move the decimal right 3 places, while power to the 2 means move the decimal right 2 places.
4.26 x 10^(3) = 4260
4.26 x 10^(2) = 426
2 x 10 + 4 x 1 + (7 x 1/10) + (4 x 1/100) + (5 x 1/1000) in standard form
Answer:
4949/200=
Step-by-step explanation:
How many 2 and 2/3 yard pieces of rope can be cut from a bundle that has 21 yards of rope
Answer:
21 divided by 2 and 2/3 = 11.1666667
Step-by-step explanation:
(SAT Prep) Find the value of x
X=25°
................
Click an Item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the
correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
the item to the trashcan. Click the trashcan to clear all your answers.
Create the equation to be used to find the missing lengths. Do not solve the equation. Format your answer in the
sequence: hypotenuse, unknown leg, known leg.
4
8
8
+
234567907
Answer:
8 square = b square + 4 square
This is the answer to your question
Order the following integers from least to greatest:
-25, -41, 36, –38, 28 and 16
Answer:
-41, -38, -25, 16, 28, 36
Step-by-step explanation:
Four numbers have a mean of 10 and a median of 10, but
none of the numbers is 10
What could the four numbers be?
Give an example.
Answer:
vvvhhjjjjjh
Step-by-step explanation:
zfxfxfhvhvhvhvvhhvcg
21.
You work for a carpet cleaning
service and must shampoo the
carpet in the small banquet room
of a local hotel. The dimensions of
the room are 200 feet by 180 feet.
Each bottle of carpet shampoo can
be used to shampoo 320 square
feet of carpet. How many bottles
of shampoo do you need to
complete the job?
The number of bottles of shampoo required to complete the job is, 113
What is area?An area is total space occupied by two-dimensional or flat surfaces. In other words we can say that it is a number of unit squares present in a closed figure. We use various units for measurement of area like, cm², m², ft², mm².
Area of square = a²
Area of rectangle = a × b
Area of circle = πr²
Given that,
The dimensions of the room are 200 feet by 180 feet
Each bottle of carpet shampoo can be used to shampoo 320 square feet of carpet
bottles of shampoo = ?
Total area we need to clean = 200 × 180
= 36000
one bottle can clean area = 320 square feet
number of bottles = Total area /one bottle can clean
number of bottles = 36000/320
= 112.5
≈ 113 bottles
So, The number of bottles required is 113
To know more about area check:
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PLEASE HELP ITS DUE TODAY!!!
6/8 = p/12= tan∅
so p= 9
brainliest
Consider the enlargement of the triangle and use the measurements to calculate the scale factor. 2 triangles have corresponding side lengths of 8 centimeters and 64 centimeters.
Answer:
8
Step-by-step explanation:
7xy2-343x
factorize the expression
Answer:
7x(y - 7)(y + 7)
Step-by-step explanation:
[tex]7x {y}^{2} - 343x \\ \\ = 7x( {y}^{2} - 49) \\ \\ = 7x ( {y}^{2} - {7}^{2} ) \\ \\ = 7x(y - 7)(y + 7)[/tex]
Determine which of the following are the solutions to the equation below.
x2=6
Answer: the answer is b. 6
Step-by-step explanation:
Select the two equations that will help you to solve this problem:
The combined average weight of an okapi and a llama is 450 kilograms.
3 llamas, on average, weigh 190 kilograms more than an average okapi.
You want to find the average weight of each type of animal.
Answer:
An average Ilama weighs 160 kilograms and an average okapi weighs 290 kilograms.
Step-by-step explanation:
Let,
x be the average weight of a Ilamas
y be the average weight of an okapi
According to given statement;
x + y = 450 Eqn 1
3x = y + 190 Eqn 2
From Eqn 2
y = 3x - 190 Eqn 3
Putting this value of y in Eqn 1
x + (3x-190) = 450
x + 3x - 190 = 450
4x = 450 + 190
4x = 640
Dividing both sides by 4
[tex]\frac{4x}{4}=\frac{640}{4}\\x=160\\[/tex]
Putting x = 160 in Eqn 3
y = 3(160) - 190
y = 480 - 190
y = 290
Hence,
An average Ilama weighs 160 kilograms and an average okapi weighs 290 kilograms.
A set of data is normally distributed with a mean of 86 and a standard deviation of 1.5. What percent of the data is in the interval 86-87.5? a 68.3 c. 34.15% b. 47.75 d. 49.85% Please select the best answer from the choices provided
Answer:
Hey mate here's your answer ⤵️
Option C
Hope it was helpfulllAnswer:
C:95.5%
Step-by-step explanation:
edge
3. (04.04 MC)
Part A: A graph passes through the points (0, 2), (1, 3), and (2, 4). Does this graph represent a linear function or a non-linear function? Explain your answer in words
Part B: Write one example of a linear function and one example of a non-linear function.. (Use x and y as the variables) (10 points)
Answer:
Part A:
The graph passes through (0,2) (1,3) (2,4).
If the graph that passes through these points represents a linear function, then the slope must be the same for any two given points. Using (0,2) and (1,3). Write in slope-intercept form, y=mx+b. y=x+2
Using (0,2) and (2,4). Write in slope-intercept form, y=mx+b. y=x+2. They are the same and in graph form, it gives us a straight line.
Since the slope is constant (the same) everywhere, the function is linear.
Part B:
A linear function is of the form y=mx+b where m is the slope and b is the y-intercept.
An example is y=2x-3
A linear function can also be of the form ax+by=c where a, b and c are constants. An example is 2x + 4y= 3
A non-linear function contains at least one of the following,
*Product of x and y
*Trigonometric function
*Exponential functions
*Logarithmic functions
*A degree which is not equal to 1 or 0.
An example is...xy= 1 or y= sqrt. x
An example of a linear function is 1/3x = y - 3
An example of a non-linear function is y= 2/3x
Allan bought a sweater
for $78 and a shirt for
$29. How much more did
the sweater cost than
the shirt
Answer:
49
Step-by-step explanation:
78-29=49
Answer:
its $49
Step-by-step explanation:
i did $78 - $29
2/3 + 1/2
i just want to give some points away
Answer:
7/6 or 1 and 1/6
Hope this helps! <33
Lol I'm answering this so late-
Ira described the data on a dot plot as having a cluster from 0 to 3, a gap at 4, and being skewed right. Which dot plot shows the data that Ira is describing?
Answer: the answer is A
Step-by-step explanation:
A 27 foot plece of wire is connected
from the top of a 24 foot telephone
pole to a stake in the ground. How
far is the stake from the base of
the telephone pole?
Abigail wants to ride her bicycle 30.4 miles this week. She has already ridden 7 miles.
If she rides for 3 more days, write and solve an equation which can be used to
determine m, the average number of miles she would have to ride each day to meet
her goal.
Answer:
3m + 7 = 30.4
m = 7.8
Step-by-step explanation:
3m, where m is the average number of miles per day, will represent how many miles she rides in the next 3 days.
She has already ridden 7 miles, so 7 has to be added to 3m in the equation.
Then, the equation has to be set equal to 30.4, because that is her goal for the week
Put this all together:
3m + 7 = 30.4
Solve for m:
3m + 7 = 30.4
3m = 23.4
m = 7.8
So, Abigail has to ride an average of 7.8 miles per day to meet her goal.
use elimination to solve each system below:
system 1 system 2
4x+3y=4 3x+2y=7
-2x-3y=-8 2x-y=7
enter the value of x and y in the solution for each in the following table
value of x value of y
system 1
system 2
Answer:
SYSTEM 1
[tex]4x + 3y = 4 - - - eqn(i) \\ - 2x - 3y = - 8 - - - eqn(ii) \\ eqn(i) + eqn(ii) \\ = > 4x - 2x = 4 - 8 \\ 2x = - 4 \\ x = \frac{ - 4}{2} \\ x = - 2 \\ in \: eqn(i) \: \: 4x + 3y = 4 \\ but \: x = - 2 \\ = > 4( - 2) + 3y = 4 \\ = > - 8 + 3y = 4 \\ 3y = 12 \\ y = \frac{12}{3} \\ y = 4[/tex]
SYSTEM 2
[tex]3x + 2y = 7 - - - eqn(i) \\ 2x - y = 7 - - - eqn(ii) \\ multiply \: eqn(ii) \: by \: 2 \\ = > 4x - 2y = 14 - - - eqn(iii) \\ eqn(i) + eqn(iii) \\ = > 7x = 21 \\ x = \frac{21}{7} \\ x = 3 \\ in \: eqn(ii) \: 2x - y = 7 \\ but \: x = 3 \\ hence \: \: 2(3) - y = 7 \\ y = 6 - 7 \\ y = - 1[/tex]