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]
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Related Questions
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.
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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
Chung-Li is making cupcakes. He made the table below showing the amount of each ingredient needed for a certain number of cupcakes. Chung-Li plotted the data using the number of slices of strawberry as the x-coordinate and the number of slices of banana as the y-coordinate. He then drew a line to connect the points. Which point could be on the line that Chung-Li drew?
Answers
Answer:
C. (2,3)
Step-by-step explanation:
4 to 6 = 2 to 3
Find the sum.
20+(−5)
Answers
Answer:
[tex]20 + ( - 5) = > 20 - 5 \\ = > 15[/tex]
hope helpful <3
Answer:
15
Step-by-step explanation:
Please answer the picture
Answers
Answer:
B is the correct answer
Step-by-step explanation:
help me please i need to find out what the sum is and what the product is and the remaining qotient
Answers
Answer:
Quotient 5/6
Product 8b
Sum 5/6+8b
Step-by-step explanation:
Sum is addition and there is only one expression of the three that has addition. So sum goes with 5/6+8b.
Quotient is division or fraction so 5/6 is the expression to go with quotient.
Product is times so 8b is the expression that goes with that because 8b means 8 times b.
Answer:
Quotient 5/6
Product 8b
Sum 5/6+8b
Step-by-step explanation: pls follow and star
The histogram shows the performance of students on a midterm test.
15
Select the correct answer.
How many students answered fewer than 20 questions correctly?
A.
8
B.
10
C.
12
D.
14
Reset Next
Answers
Answer:
12 kids
Step-by-step explanation:
First look at the bars that are behind 20 as you can see 10 and 0 are behind 20. Then you count the numbers on the left up on the bars. 0 has 8 kids, and 10 has 4 kids
don't add links please
Answers
Answer:
B
Step-by-step explanation:
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
Please help me with this I need the answer soon!
Drag each angle measure to the correct location on the image. Each angle measure can be used more than once.
In the figure, two parallel lines are cut by two other parallel lines. The measures of one of the angles is labeled. Find the measures of the other angles and label them.
137° 52° 128° 38°
*then it’s the picture*
Answers
A bank pays 7% interest on 3-year certificates of deposit. What is the value of a $500 certificate after one year? Give your answer to the nearest cent.
Answers
The value after one year will be $535.
What is interest?Interest, in its most simple form, is calculated as a percent of the principal. For example, if you borrowed $100 from a friend and agree to repay it with 5% interest, then the amount of interest you would pay would just be 5% of 100: $100(0.05) = $5.
Interest is most often reflected as an annual percentage of the amount of a loan. This percentage is known as the interest rate on the loan. For example, a bank will pay you interest when you deposit your money in a high-yield savings account.
given:
amount= $500
interest rate = 7% on 3-year certificates of deposit.
So, after one year the value will be
=500 x 7% + 500
=500 x 0.07 + 500
= 35 + 500
= $535
Hence, the value will be $535.
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Show your work
1. A cylindrical jar has a radius of 5 inches and a height of 9 inches. The jar is filled with marbles that have a volume of 20 in3. Use 3.14 for pi. Show work. Complete sentences.
a. What is the volume of the jar?
b. How many whole marbles can fit in the jar?
Answers
help if you know pls
Answers
Answer:
c. 16/35
Step-by-step explanation:
2/5 divided by 7/8
2/5 x 8/7
stay change flip
WILL MARK BRAINLIEST IF CORRECT!!!!
Determine whether the following statement is true or false. Give an example or counterexample to justify your answer.
ALL BINOMIALS THAT HAVE A PERFECT SQUARE IN EACH OF THE TWO TERMS CAN BE FACTORED.
pls answer correct, I will also give a 5 star rating and a thanks on ur answer
Answers
Answer:
the greatest commen factor
Step-by-step explanation:
Though many different types of expressions can be classified as binomials, not all of them can be factored. In order to be factorable, a binomial has to have a difference of two squares, a difference of cubes, a sum of cubes, or a greatest common factor
I figured out the first part only need help with the second part.I need help ASAP
Answers
Answer:
the answer would be 112.5min
Explanation:
I believe you have the equations wrong. 1 equation you can use is t=15d, and the other equation you can use is d=t/15. then if you plug 7.5 for d in one of the equations you can get the answer
T= 30
And d=2
Now we need an equation that links together.
So to get d (2) equal to t (which is 30) we need to multiply by 15.
So t = 15d
Or if you make d the subject
D = 15/t
So if this Titus walks 7.5 miles
T = 15 x distance
Time = 15 x 7.5
So the time is 112.5
Hope it helps
Question One : 6.4 x 1.2
Question Two : 3.5 x 4.9
Question Three: 8.4 x 5.2
pls SOLVE and EXPLAIN how you got it
And pls don't put files in here
Answers
What is the value of 7³ ?
Answers
Answer:
343
Step-by-step explanation:
7 x 7 x 7 = 343
Hope it help and if it its correct please give brainliest
Stay Safe And Healthy
Thank You
Answer:
The answer is: 7³ = 343Solution:
7x7x7 = 343Question 1 (Essay Worth 2 points)
A coordinate graph is shown. The label on the x axis is Weight in pounds. The label on the y axis is Total cost in dollars. There is a line connecting the points 0, 0 and 10, 5.
The graph shows the relationship between pounds of dog food and total cost, in dollars, for the dog food.
Which statement(s) about the graph is/are true?
A. Point (0, 0) shows the cost is $0 for 0 pound of dog food.
B. Point (1, 0.5) shows the cost is $1 for 0.5 pound of dog food.
C. Point (2, 1) shows that 2 pounds of dog food cost $1.
D. Point (4, 2) shows the cost is $4 for 2 pounds of dog food.
E. Point (10, 5) shows that 10 pounds of dog food costs $5.
Answers
Answer:
mu answer is A
Step-by-step explanation:
because if an point shows (0,0) shows the cost is $0 for 0 pound of dog food
hope this helps
For which problem situation could the equation 45x + 55x = 350 be used?
A 350 mile telephone cable costs $55 per mile for one section and $45 per mile for a different section. What is the total cost of the cable?
A car, traveling 45 mph, leaves Dallas heading for Odessa 350 miles away. At the same time, a truck leaves Odessa for Dallas traveling 55 mph on the same road. When will the two vehicles meet?
A 350 mile telephone cable is cut so the shorter piece is 45/55 of the whole cable. How long is each piece?
Two vehicles start from the same point traveling in the same direction. One vehicle travels 55 miles per hour (mph) and the other 45 mph. When will the two vehicles be 350 miles apart?
Answers
Answer:
45 x + 55 x = 350
x increases until the total equals 350
45 + 55 = 100 = relative speed of approach
(B) traveling cars meet this equation's specifications (x = 3.5)
The correct statement is option B)
What is the speed of an object?Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time
Given here: The equation as 45x+55x=350
A car, traveling 45 mph, leaves Dallas heading for Odessa 350 miles away. At the same time, a truck leaves Odessa for Dallas traveling 55 mph on the same road.
Therefore the relative speed of the two trucks is given by 45+55=100
and let the time taken to meet is x then we can construct an equation as follows x=350/100
or, 45x+55x=350
Hence, The correct statement is option B)
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Evalute 8a -1+0.5b when a =1/4 and b= 10 how dose this work i need help..
Answers
8a -1+0.5b
Replace a nd b with the given values:
8(1/4) -1 + 0.5(10)
8 x 1/4 = 2
0.5 x 10 = 5
Now you have:
2 -1 + 5
2-1 = 1 +5 = 6
Answer is 6
Answer:
6
Step-by-step explanation:
Substitute the value of the variable into the expression and simplify.
On a biology test, Travis got 29 questions correct but did not pass. On a second attempt, he got 38 questions correct. What was the percent of increase? Round to the nearest tenth of a percent.
Answers
We know that his first attempt he got 29 questions correct, yet he didn’t pass & the second attempt he got 38 questions correct.
So, If i’m not wrong the percentage increase is 10% [Rounded].
Explanation:
38 - 29 = 9
9 rounded to the nearest tenth is 10%.
Forgive me if I’m wrong, good luck! ^^
Answer:
Step-by-step explanation:
to find percent increase or change :
big -small ÷ original
Insert:
38-29 ÷ 29
0.31 *rounded
So, it would be a 31% increase.
Hope this helps:)
help fast!!!!!!!!!!
How does a parallel circuit change when a branch is added? The total resistance increases, so the current in the circuit decreases. The total resistance decreases, so the current in the circuit increases. The total resistance increases, so bulbs shine at a lower brightness. The total resistance decreases, so bulbs shine at a higher brightness.
Answers
Answer:
A decrease in resistance creates an increase in current.
Step-by-step explanation:
Answer:
The total resistance decreases, so the current in the circuit increases.
Describe in detail how you would create a number line with the following points: 4, 1.25, the opposite of 3, and – (–2fraction of one-half). Please be sure to describe on which tick marks each point is plotted and how many tick marks are between each integer. It may help for you to draw this number line by hand on a sheet of paper first. brainleist for right answere if u dont answer propoly i will report!
Answers
Answer:
Given : points 4 , 1 ,25 , opposite of 3 , -1/2
To Find : draw on Number Line
Solution :
Numbers with a negative sign are less than zero
Right of zero represented by ‘+’ sign and to the left of zero represented by ‘–’ sign.
+ sign numbers can be denoted as simply numbers
On a number line the number increases as we move to the right and decreases as we move to the left.
1 : Draw a line and mark some points at equal distance on it as shown in the figure below Mark a point as zero on it. Points to the right of zero are positive integers and are marked simply 1, 2, 3 and so on , while points to the left of zero are negative integers and are marked – 1, – 2, – 3 and so on
2. Go 4 unit on right sides from Zero to show 4
3. Go 3 units on Left from zero to show opposite of 3
4. Divide number line between 1 & 2 in 4 Equal parts and go 1 part right of 1
5. Divide number line between 0 & -1 in 2 Equal parts and go 1 part left of 0
Step-by-step explanation:
is 4x-6=1/2(-12+8x) one solution, no solution, or infinite? show work
Answers
=(1/2)(-12)+(1/2)(8x)
=-6+4x=4x-6
Ok done :>>>
please help with this (JK)
Answers
Answer:
8 miles
Step-by-step explanation:
A 1500 vacation was discounted 21% off. What is the total cost of the vacation?
Answers
Answer:
1185
Step-by-step explanation:
21 percent off of 1500
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!
Will give 20 points to whoever can answer all of the questions.
Answers
Answer: (im going left, right, down, left, right, down,etc)
Number 1.part 1: is 3 and 4/7 part 2: 13/17, number 2: 26 and 1/4
Number 3: 907,120, Number 4: 725, Number 5: 7/30, Number 6: 7/36
Number 7: 1,893, Number 8: 263, Number 9: 1768.89, Number 10: 93, Number 11: 36, Number 12: on day 15, Number 13: 9 to 3(9:3), Number 14: 1.15, Number 15: 48, Number 16: 8:1, 16:2, 24:3, 32:4
Step-by-step explanation:
I was doing wensday, thursday, wensday, thursday
1. 25/7 = 3 and 4/7, 39/51 = 13/17
2. 4930 * 184 = 907,120
3. Jamie will give each friend 7/30 pound of chicken to each friend
4. 28395 ÷ 15 = 1893
5. 840.89 + 928 = 1768.89
6. GCF of 72 and 36 is 12
7. 3 : 1
8. Jamie can eat 48 hot dogs in 12 minutes
9. 3^3-(60 ÷ 10) ÷ 8 = 26.25
10. 31900 ÷ 44 = 725
11. 7/9 ÷ 4 = 7/36
12. There are 263 trees on every acre of land
13. 74.4 ÷ 0.8 = 93
14. On the 15th day
15. One burger would cost $1.15
16. 24 marbles -- 3 bags,
and 32 marbles -- 4 bags
S - How many positive integers are between - 7/3 and 5/2?
E. 0
F. 1
G. 2.
H. 3
Answers
Answer:
The positive integers between -7/3 and 5/2 are 1 and 2.
Step-by-step explanation:
"How many positive integers are between - 7/3 and 5/2?" can be written as "How many positive integers are between - 2 1/3 and 2 1/2?" This rewriting makes it easier to identify the positive integers in question. They are 1 and 2.
The number of positive integers between -7/3 and 5/2 is 3 (option H).
To determine the number of positive integers between -7/3 and 5/2, we need to find the positive integers greater than -7/3 and less than 5/2.
Converting -7/3 to a decimal, we have:
-7/3 ≈ -2.333
Converting 5/2 to a decimal, we have:
5/2 = 2.5
Now, let's check which positive integers lie between -2.333 and 2.5.
The positive integers greater than -2.333 and less than 2.5 are 0, 1, and 2.
Therefore, there are three positive integers between -7/3 and 5/2. The correct answer is option H. 3.
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DUE AT 8 MT!!! HELP ASAP!!!
Define a variable, set up an equation, then solve.
Max is already 224 miles into his road trip. If he is averaging 52 miles per hour and the trip is 640 miles total, how many more hours does he have left to drive?
x - hours left to drive
Answers
Answer:
8 hours.
Step-by-step explanation:
1. Subtract 640-224=416
2. Divide 416/52
3. 8 hours
8 hours.
Step-by-step explanation:
We have been given that Max is averaging 52 miles per hour and the trip is 640 miles total. Max is already 224 miles into his road trip.
Let us find the remaining distance of trip by subtracting the distance already covered from total distance.
Remaining Distance = 640 miles - 224 miles
Remaining Distance = 416 miles
We will use formula: Time = Distance/Speed to find the number of hours Max still have to drive.
Time = 416 miles/52 miles/hour
Time = 416 miles/52 × hour/miles
Time = 416/52 hour
Time = 8 hours
Therefore, Max have left 8 more hours to drive.