To compare the average rate of change between hours 4 and 8 to the average rate of change between hours 0 and 4, we need to calculate the average rate of change for both time intervals using the given formula. The correct option can be determined by comparing these two average rates of change.
Explanation:To compare the average rate of change between hours 4 and 8 to the average rate of change between hours 0 and 4, we need to calculate the average rate of change for both time intervals. The formula for average rate of change is:
Average Rate of Change = (f(b) - f(a)) / (b - a)
For the interval between hours 4 and 8, the average rate of change is:
Average Rate of Change = (f(8) - f(4)) / (8 - 4)
Substituting the values into the formula:
Average Rate of Change = (80 * (1.5)^8 - 80 * (1.5)^4) / (8 - 4)
For the interval between hours 0 and 4, the average rate of change is:
Average Rate of Change = (f(4) - f(0)) / (4 - 0)
Substituting the values into the formula:
Average Rate of Change = (80 * (1.5)^4 - 80) / 4
Comparing these two average rates of change, we can determine which option is correct.
what is three equivalent ratios for 9/2?
To find three equivalent ratios for 9/2, you can multiply both the numerator and denominator of the given ratio by different numbers.
Explanation:When finding equivalent ratios, you need to multiply or divide both the numerator and denominator of the given ratio by the same number. In this case, we have 9/2. To find three equivalent ratios, we can multiply the numerator and denominator by different numbers. Here are three equivalent ratios for 9/2:
18/4 (multiply both 9 and 2 by 2) 27/6 (multiply both 9 and 2 by 3) 45/10 (multiply both 9 and 2 by 5)
The net change for a certain stock is the dollar value change in the stock's closing price from the previous day's closing price. The net changes of three stocks were -3, 1, and -2. Which net change has the greatest absolute value?
The net change with the greatest absolute value is -3.
Explanation:The net change with the greatest absolute value is -3.
To determine the absolute value, we ignore the negative sign.
So among the given net changes of -3, 1, and -2, the net change of -3 has the greatest absolute value.
Learn more about net change here:https://brainly.com/question/29989249
#SPJ2
Zoe's pizza cost $12.99. She gave a tip of $2.00. What percent did Zoe leave as a tip?
The percentage of money Zoe leave as a tip is 15.39%.
What is a linear function? What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that Zoe's pizza cost $12.99. She also gave a tip of $2.
Assume that the percentage of money Zoe leave as a tip is [x]. So, we can write -
[x] = 2% of 12.99
[x] = (2/12.99) x 100
[x] = 15.39%
Therefore, the percentage of money Zoe leave as a tip is 15.39%.
To solve more questions on functions, expressions and polynomials, visit the link below -
brainly.com/question/17421223
#SPJ6
Solve for t.
3/4t = 1/4
Answer:
1/3
Step-by-step explanation:
Randall had $75 in his bank account. He made 3 withdrawals of $18 each. Answer True or False for each statement
____ The change in Randall's balance is -$54.
____ The account balance is equal to $75 - 3(-$18).
____ Randall now has a negative balance.
Is the question is x(x2-2) then what would be the answer
3.752 rounded to the nearest hundredth
Explain why you would make one of the addends a ten number when solving a addition problem
What are four equivalent expressions for 42+18
$145 coat; 6.25% tax find the answer
Which values from the given replacement set make up the solution set of the inequality? m+7 < 18 ; {8,9,10,11}
A. {8,9}
B. {10,11}
C. {8,9,10}
D. {9,10,11}
The correct answer is C.
8 + 7 = 15 < 18
9 + 7 = 16 < 18
10 + 7 = 17 < 18
So the correct answer is C.
Brainliest Please!
what is the area of a isosceles triangle
can you guys answer this
5m+7/2=-2m+5/2
What's m?
Austin buy 4 boxes of nails for his project. there are 30 nails in each box. how many nails does Austin Buy in all
8 – q = -7 + 4q
answer plz for algebra????
a wireless company offers two cell phone plans. Plan A charges 24.95 per month plus 0.10 per minute for calls. Plan B charges 19.95 per month plus 0.20 per minute. Use the questions to find when the two plans cost the same.
To find when the two plans cost the same, set up an equation equating the cost of Plan A and Plan B. Solve for the number of minutes used when the two plans cost the same.
Explanation:To find when the two plans cost the same, we need to set up an equation where the cost of Plan A is equal to the cost of Plan B. Let x be the number of minutes used. For Plan A, the cost is $24.95 + $0.10x. For Plan B, the cost is $19.95 + $0.20x. Setting these two expressions equal to each other, we get:
$24.95 + $0.10x = $19.95 + $0.20x
Now, we can solve for x:
$0.10x - $0.20x = $19.95 - $24.95
$-0.10x = -$5
x = -$5 / -$0.10
x = 50
Therefore, the two plans cost the same when 50 minutes are used.
Learn more about finding when two plans cost the same here:
https://brainly.com/question/32284895
#SPJ11
Which equation shows the substitution method being used to solve the system of linear equations?
x – y = 7
x = y + 3
A.
(y + 3) – y = 7
B.
x – (y + 3) = 7
C.
x – y = y + 3
D.
x = (7 – x) + 3
If 15/x is equal to 75/100 what is x
What is $15 for 3 pounds wrote as a unit rate
Marta uses 1 piece of paper and 1 piece of ribbon to make kites. The paper comes in packs of 3 pieces and the ribbon comes in packs of 4 pieces. What is the least number of kites Marta can make without any supplies left over?
Answer:
The least number of kites Marta can make without any supplies left over is 12.She uses four packs for paper and only three packs for ribbons.Step-by-step explanation:
Givens:
Martha needs 1 piece of paper and 1 piece of ribbon.Paper is in packs of 3 pieces, and ribbon is in packs of 4 pieces.If Martha needs 1 piece of paper and ribbon, then she need to use 4 packs of paper and 3 packs of ribbons, because when she uses one pack of paper, she use it all, but from the pack of ribbons, it remains some.
First pack.From the first pack Marta has 3 papers and 4 ribbons. So, she uses all 3 papers, and 3 ribbons, and there remains 1 ribbons without use.
Second pack.From the second pack, Marta uses 3 papers but only 2 ribbons, because she also uses the one ribbon that left from the first pack. So, from the second pack, she only uses 2 ribbons, and there are 2 ribbons left.
Third pack.From the third pack, she again uses all three papers, but only 1 ribbon, so there is three ribbons left.
Fourth pack.From the fourth pack she uses three papers agains, but she doesn't need a new pack of ribbons, because she has three from the third pack.
Now, specifically, the least common number refers to the least common multiple of 3 and 4, which is 12, because if we write down the multiples for both numbers, we have:
3, 6, 9, 12, 15, ...
4, 8, 12, 16, 20,...
As you can see, the least common number is 12.
Therefore, the least number of kites Marta can make without any supplies left over is 12.
use distributive property to rewrite 4u(u + 3)
HALP me with this question Nicole is making 1,000 bows for people who donate to the library book sale.She needs a piece of ribbon that is 0.75 meter long for each bow.How many meters of ribbon does Nicole need to make the bows?
Explain how to find the answer and what's the anwer?
Nicole needs 750 meters of ribbon to make 1,000 bows, with each bow requiring 0.75 meters of ribbon. This is calculated by multiplying 1,000 by 0.75.
To determine how many meters of ribbon Nicole needs to make 1,000 bows where each bow requires 0.75 meters of ribbon, we need to perform a simple multiplication. Given:
1. Number of bows = 1,000
2. Length of ribbon per bow = 0.75 meters
We multiply these two values:
1,000 bows × 0.75 meters per bow = 750 meters
Thus, Nicole needs 750 meters of ribbon to make all the bows.
Let’s break down the process step-by-step:
Identify the number of bows Nicole wants to make (1,000).Identify the length of ribbon needed for each bow (0.75 meters).Perform the multiplication: 1,000 × 0.75.The result gives the total meters of ribbon required (750 meters).how many times does 6 go into 96 by steps
Juan unloads 29 bags of pine mulch from each of his fathers 2 trucks. Together, the truck holds 2,262 pounds of pine mulch. What is the weight of each bag of pine mulch Juan unloads?
Jared made 4 bird houses in 3 days. How many days will Jared work to make 20 bird houses
The number of days Jared will take to make 20 bird houses, when he can make 4 bird houses in 3 days, is 15 days.
What is the relation between work and time?The total time taken is inversely proportional to the rate of work. If a unit of work is done in total n number of days, then the total work done in a day can is,
[tex]W=\dfrac{1}{n}[/tex]
Jared made 4 bird houses in 3 days. Thus, the number of bird houses made by Jared in 1 day is,
[tex]n=\dfrac{4}{3}[/tex]
Thus, the Jared made 4/3 housed in a single day. By this rate the total time required to Jared to make 20 bird housed is,
[tex]t=\dfrac{20}{\dfrac{4}{3}}\\t=\dfrac{60}{4}\\t=15\rm\;days[/tex]
Hence, the number of days Jared will take to make 20 bird houses, when he can make 4 bird houses in 3 days, is 15 days.
Learn more about the work and time here;
https://brainly.com/question/25572872
A race car travels at a speed of 230 miles per hour. The race track on which the car is competing is 400 miles long. About how long does it take for the car to finish, disregarding pit stops and yellow flags?
A) 174 minutes
B) 345 minutes
C) 1 hour 45 minutes
D) 2 hours 14 minutes
Answer:
Option(c)
Step-by-step explanation:
The race track on which the car is competing miles= 400 miles
A car travels with speed= 230 miles per hour
We have to find time taken for the car to finish
As we know,
Time taken to cover certain distance=[tex]\frac{Distance}{Time}[/tex]
Time taken to cover certain distance=[tex]\frac{400}{230}[/tex]
Time taken to cover certain distance=[tex]\frac{40}{23}[/tex]
Time taken to cover certain distance=1 hour 45 minutes
Hence, the correct answer is option(c)
Several pennies are tossed in the air. Twelve land heads up and fifteen land tails up. Which of the following ratios are correct?
12 heads to 27 coins
15 tails to 12 heads
5 tails to 9 coins
12 heads to 15 tails
Universal Travel Inc. borrowed $500,000 on November 1, 2013, and signed a 12-month note bearing interest at 6%. Interest is payable in full at maturity on October 31, 2014. In connection with this note, Universal Travel Inc. should report interest payable at December 31, 2013, in the amount o
To _____ is to create a strategy or come up with a plan or idea, or to express an idea in a clear, concise way.