Below is a graph of p, an insect population, w weeks after it was first measured. The population grows exponentially.
Write an approximate domain and range for this situation.
Write an equation relating p and w.
Answers
The range and the domain of the graph are the sets of non-negative real numbers, while the equation relating p and w is [tex]p = 300 * 3^w[/tex]
From the graph, we have the following ordered pairs
(1,900) and (3,8100)
An exponential function is represented as:
[tex]p = ab^w[/tex]
At the point (1,900), we have:
ab = 900
At the point (3,8100), we have:
ab^3 = 8100
Divide both equations
[tex]\frac{ab^3}{ab} = \frac{8100}{900}[/tex]
Evaluate the quotients
[tex]b^2 = 9[/tex]
Take the square roots of both sides
b = 3
Recall that:
ab = 900
So, we have:
3a = 900
Solve for a
a= 300
Hence, the equation is:
[tex]p = 300 * 3^w[/tex]
Read more about exponential equations at:
https://brainly.com/question/11464095
Related Questions
Which question can be represented by the equation 4÷27=?
1. How many 2/7s are in 4?
2. What is 4 groups of 2/7?
3. What is 2/7 of 4?
4. How many 4s are in 2/7?
Answers
Answer:
I think number 4is the answer.
A property's value decreased by 15%. If is was worth 189,000, what is worth now?
Answers
15% of 189000 = [tex] \frac{15}{100} \times 189000 = 28350 \\ [/tex]
So, now it's worth[tex] = 189,000 - 28,350 \\ = 160,650[/tex]
The current worth of the property is $160,650.
What is percentage?Percentage, is a relative value indicating hundredth part of any quantity.
Formula for percent decreasePercent decrease = ( decreased value/ original value) × 100
Therefore,
Decreased value = Original value - new value
According to the question
We have
Percent decrease = 15%
Original value of the property = $ 189,000
So, 15% 0f $189,000 = [tex]\frac{15}{100}[/tex] × 189000
⇒ 15% of 189000 = $28350
Therefore, the decreased value of the property = $189000 - $28350
Decreased value of property = $160,650
Hence, the current worth of the property is $160,650.
Learn more about the percentage here:
https://brainly.com/question/2913116
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If 4 tickets to a show cost $9, find the cost of 14 tickets.
Answers
Answer:
$31.50
Step-by-step explanation:
You would divide 9/4 which gets you 2.25, then you multiply 14x2.25 to get 31.5
Answer:
31.50
Step-by-step explanation:
We can write a ratio to solve
4 tickets 14 tickets
----------------- = ------------------
9 dollars x dollars
Using cross products
4x = 9*14
4x =126
Divide each side by 4
4x/4 = 126/4
x =31.50
Noah and his friends are going to an amusement park. The total cost of admission for 8 students is $100, and all students share the cost equally. Noah brought $13 for his ticket. Did he bring enough money to get into the park?
1. Yes, and he will have .75 left over.
2. No, he is .50 short.
3. No, he is .75 short.
4. Yes, and he will have .50 left over.
Answers
Step-by-step explanation:
4. yes, and he will have .50 left over
A rectangular box is designed to have a square base and an open top. The volume is to be 2048in.3
What is the minimum surface area that such a box can have?
Answers
Answer:
x=y=z in 3 dimensions. So, you have x2y=4=x3⟹x=y=3√4.
Step-by-step explanation:
Answer:
hi
Step-by-step explanation:
Let x = the length of the sides of the base and h = the height:
Volume = (area of base)(height)
V = x2h
2048 = x2h
2048/x2 = h
Surface Area = area of base + 4(area of vertical side)
SA = x2 + 4xh
Eliminate the h by using 2048/x2 = h:
SA = x2 + 4x(2048/x2)
SA = x2 + 8192 x-1
Take the derivative of SA wrt x, set it to zero, solve for x. Plug that value of x into the surface area equation to find the minimum surface area.
I need this answer in 30 minutes please help !!
**WILL MARK THE FIRST PERSON BRAINLIEST**
Answers
HelLPPP”””**!!!
MEeEeeee”**!
PLEASEEEEEE””**!!!
Answers
Can’t see the full picture on the second one. I can answer in the comments if you type the question.
hey help help pls help quick help
Answers
Answer:
D
Step-by-step explanation
you see 6 squrs and One whole.
Answer: D
Step-by-step explanation: since its not asking for the answer if you look at both fractions are separated on the model and on the left is 1/6 and then on the right is 1/2 and if your looking for the answer its 3! Hope this helps!
what is 3438 x 24 + 24 -24 divided by 4
Answers
Answer:
82512
Step-by-step explanation:
Answer:
(3,438 x 24) + 24 - (24 / 4)
82,512 + 24 - 6
82,536 - 6
= 82,530
PLease help me ill give brailiest n if you can put an explaination TvT im not that great with math
Answers
Answer:
/24
Step-by-step explanation:i am not that good but to me looks like /24 i hope it is a good A :}
Answer:
Square Root of 26 = 5.9
Square Root of 20 = 4.7
Square Root of 24 = 4.8
Square Root of 27 = 5.1
So, C, Square Root of 24 is the correct one!
Find the volume of the composite figure.
Write with the correct unit of measurement, such as 5 cm^2.
Answers
Answer:
?
Step-by-step explanation:
ill give brain if u give me brain 2
Answers
Answer: 1 brain
Step-by-step explanation:
If one person has a brain, the number of brains they have, x, is 1.
Then, upon giving a brain to another person, x decreases by 1, becoming 0.
Then, when given a brain, x increases by 1, settling at 0.
Hope it helps :)
[tex]_{lol}[/tex]
Answer:
Meaning don't get you please
Find the area of the blue shaded region.
Fill in the blank. The blue shaded region is ____ square units
Answers
Answer:
There is no blue shaded regions/ no photo or link
Step-by-step explanation:
Answer: photo or link ?
What is the sum of the fractions? Use the number line and equivalent fractions to help find the answer.
1
2
3
or
4
Answers
Answer:
C. -3/4
Step-by-step explanation:
-5/4 + 1/2
-5/4 + 2/4
-3/4
Hope this helps!
The temperature changes by 22°F every hour for 4 hours. What is the total temperature change in 4 hours? How does the number line in problem 2b show this?
Answers
Answer:
88
Step-by-step explanation:
help if you know pls and thanks
Answers
Good luck on the test lol-
HELP PASKAJAJ MEEEEE PLEASE
Answers
Which proportion can be used to find 220% of 318?
Answers
times 318 by 2 because we need to find 200% then divide 318 by 5 which will be 20% there's your answer ;)
Step-by-step explanation:
Which of the following numbers is between - 3/4 and 5/8 ?
Answers
Answer:
I believe that the answer is -1/2
Step-by-step explanation:
The number which falls under the inequality -3/4 < x < 5/8 is when x = -1/2
The correct answer is Option D.
Given data:
The number x is between -3/4 and 5/8.
So, the inequality is -3/4 < x < 5/8.
When comparing fractions, we consider their relative positions based on their magnitudes. Starting from the left, -3/4 represents a point closer to negative infinity, followed by -1/2, and then 5/8, which is closer to positive infinity.
Visually, imagine the number line where -3/4 is to the left, 5/8 is to the right, and -1/2 is positioned between them. Since -1/2 is greater than -3/4 and less than 5/8, it falls within the specified range. The choice -1/2 satisfies the condition and can be identified as the number between -3/4 and 5/8.
Hence, the number is x = -1/2.
To learn more about inequality equations, refer:
https://brainly.com/question/11897796
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The complete question is attached below:
Which of the following numbers is between - 3/4 and 5/8 ?
A) -1
B) 7/8
C) 0.9
D) -1/2
Hellppp MEEEEEEE pleaseeeeee
Answers
Answer: 31 in.
Step-by-step explanation:
Because if you split 62 in half it’ll equal 31.
31+31=62
Answer:
29.5 inches
Step-by-step explanation:
Eva is 1.5 inches shorter than half of Maria's height, so to determine Eva's height, we would subtract 1.5 from 31, half of Maria's height. Our difference is 29.5. Eva is 29.5 inches tall.
(this was edited because I'm apparently blind)
don't add links please.
Answers
Answer:
Im pretty sure its D
Step-by-step explanation:
The diameter of the rear tire of a bike is 34 inches. In low gear, you need to rotate the pedals 3 times to make the rear tire rotate 360° all the way around. How far will you travel in low gear each time you rotate the pedals? (Hint: find the circumference of the tire, then divide it by the number of rotations needed of the pedals.) Round the answer to the nearest hundredth.
Answers
Answer:
120
Step-by-step explanation:
360÷3 =120
36÷3=12+0=120
check
120×3=360 correct!!!!!!!
how can you use properties of operations to evaluate expressions?
Answers
[tex] \huge \underline { \bf {Answer :-}}[/tex]
When evaluating an expression, proceed in this order:
parentheses are done first.exponents are done next.multiplication and division are done as they are encountered from left to right.Addition and subtraction are done as they are encountered from left to right.♡hope it helps~
HELPPPPP
TEACHER:In problem 1 part B is correct. Part A for the estimate was not completed. For problem 2, is GCF or LCM what you would use? I like the problem you made up in problem 3. To solve it would you divide or subtract?
Answers
Answer:
Use LCM (Least Common Multiple) for this.You will find the answer much easier.
Hope this helps!
Please help me! I can't figure out the answer!
Answers
Answer:
...
Step-by-step explanation:
A pair of parallel lines is cut by another pair of parallel lines as shown in the figure. Which angles are congruent to angle K?
*then it’s the picture*
A. angles P, Q, and R
B. angles M, E, and C.
C. angles G, A, and B
D. angles D, E, and C
E. angles M, N, and P
Answers
Answer:
B. angles M, E, and C.
Step-by-step explanation:
Angles are congruent by being corresponding angles, or vertical angles, or alternate interior or exterior angles.
Answer: B. angles M, E, and C.
I just need help with these few questions... please give me actual answers.
Answers
Answer:
Step-by-step explanation:
1. -7 = w + 5
w = -12
(-12 + 5 = -7)
2. -4p + 38 = 10
-38 -38
-4p = -28
/-4 /-4
p = 7
3. -3 1/2 = -1 1/4b
/1.25 /1.25
-2 4/5 = -b
2 4/5 = b
or
2.8 = b
Answer:
Step-by-step explanation:
Question 1:
-7 = w + 5
- 5 - 5
-12 = w
w = -12
Question 2:
-4p + 38 = 10
- 38 - 38
-4p = -28
----- ----- fraction bar... -4p divided by -4, -28 divided by -4
-4 -4
p = 7
Question 3:
-3 1/2 = -1 1/4b
- 7 = - 5
----- ----- b
2 4
4 -7 -5 4
---- x ----- = ------ x ----- b
-5 2 4 -5
-28
---- = b
-10
-28 2 14
----- divided by ---- = -----
-10 2 5
b = 2 4/5
hope this helps !
mark me brainliest :D
Complete the following to show how the expression can be simplified using the Commutative and Associative Properties of Multiplication.
Enter the correct numbers in the boxes.
(−0.5)(−7)(2)= ( )( )(2)
=(−7)[( )( )]
=(−7)( )
=
Answers
Answer:
[tex](-0.5)(-7)(2)= (-7 )(-0.5 )(2)\\=(-7)[( -0.5)(2 )]\\=(-7)( -1)\\=7[/tex]
Step-by-step explanation:
[tex](-0.5)(-7)(2)= (-7 )(-0.5 )(2)[/tex] Here you apply the commutative law ([tex]ab = ba[/tex]).
[tex](-7)[( -0.5)(2 )][/tex] Here apply the associative law ([tex]a(bc) = (ab)c[/tex]).
[tex](-7)( -1) = 7[/tex] A negative number by a negative number is equal to positive.
=(-7)[(-0.5)(2)]
=(-7)(-1)
=-7
The graph below shows the relationship between the number of ice cubes made and the number of ice trays used:
A graph is shown. The values on the x axis are 0, 1, 2, 3, 4, 5. The values on the y axis are 0, 16, 32, 48, 64, 80. Points are shown on ordered pairs 0, 0 and 1, 16 and 2, 32 and 3, 48 and 4, 64. Only the point on the ordered pair 3, 48 is labeled as A. These points are joined by a line. The label on the x axis is Ice Trays. The title on the y axis is Ice Cubes.
Which statement best describes point A on the graph?
One ice tray makes 32 ice cubes.
One ice tray makes 48 ice cubes.
Three ice trays make 16 ice cubes.
Three ice trays make 48 ice cubes.
Answers
Answer:
Three ice trays make 48 ice cubes.
Step-by-step explanation:
Each point on the y-axis is the amount of ice cubes and each point on the x-axis is each ice tray.
format:
(x, y)
(ice tray, ice cubes)
example:
(3, 48)
(3 ice trays, 48 ice cubes)
example:
(6, 96)
(6 ice trays, 96 ice cubes)
6.7 more than the quantity x divided by 2.1 is greater than or equal to b.
How is this word sentence written as an algebraic inequality?
Answers
Answer:
6.7 + x/2.7 ≥ b
Step-by-step explanation:
(6.7) (more) (than the quantity x divided by 2.1) (is greater than or equal to) (b)
6.7 + x / 2.1 ≥ b
6.7 + x/2.7 ≥ b
Answer:what is the anwser
Step-by-step explanation: