Answers
Part (a)
Use the slope formula to compute the slope from x = 4 to x = 6
So effectively we're finding the slope of the line through (4,70) and (6,68)
We get the following
m = (y2-y1)/(x2-x1)
m = (68-70)/(6-4)
m = -2/2
m = -1
Repeat for the points that correspond to x = 6 and x = 8
m = (y2-y1)/(x2-x1)
m = (73-68)/(8-6)
m = 5/2
m = 2.5
Now average the two slope values
We'll add up the results and divide by 2
(-1+2.5)/2 = 1.5/2 = 0.75
The estimate of T'(6) is 0.75
This works because T'(x) measures the slope of the tangent line on the T(x) curve. Averaging the secant slopes near x = 6 will help give us an estimate of T'(6), which is the slope of the tangent at x = 6 on T(x).
Answer: 0.75==============================================
Part (b)
The value T'(6) = 0.75 represents the instantaneous rate of change of the temperature per hour.
More specifically, T'(6) = 0.75 means the temperature is increasing by an estimated 0.75 degrees per hour at the exact instant of x = 6 hours. This instantaneous rate of change is like a snapshot at this very moment in time; in contrast, the slope formula results we computed above measure the average rate of change between the endpoints mentioned.
Related Questions
Nathan usually drinks 38 ounces of water per day. He read that he should drink 66 ounces of water per day. If he starts drinking 66 ounces, what is the percent increase? Round to the nearest percent.
Answers
Answer:
73.6%
Explanation: 38 is the old value and 66 is the new value. In this case we have a positive change of 73.68... percent because the new value is greater than the old value.
What percentage is 26 out of 130?
Answers
Answer: 20%
I hope this helps, and Happy Holidays! :)
Answer:
20 percent
Step-by-step explanation:
26/130=0.2
multiply that by 100 equals 20
Find the slope-intercept equation of the line that
passes through (0,4) and has a slope of 1.
Answers
Answer:
y=1x+4 is the answer :))))
Answer:
y = x + 4
Step-by-step explanation:
slope intercept equation: y = mx + b
m = slope
b = y-intercept(when x =0)
use the points given; (0,4) and m = 1
to find b
y = mx + b
4 = 1(0) + b
4 = b
now put your equation together.
y = 1x + 4
or y = x + 4
Please help me with this question! I would really appreciate it <333
Answers
Answer:
C or D definitely not A or B bc it is too close of a number to 24.75 for 15
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
You want to find out how much it would be for 15 boxes
(5 , 11.25)
this is the first pair on the table multiply both by 3 because 5 x 3 = 15(boxes)
so we need to find how much it costs so now you multiply 11.25 by 3 which will be 33.75.
I have done this problem in my class and it is a believe me!
clout chaser don’t use beauty for hype
Answers
Beauty is hard to accept when you are seeing it in yourself. This is a valid question to ask, however on this sight not exactly. They obviously believe they are not ugly and other people are saying they are. Models use their beauty for hype so it's not a bad thing. In this case all you are doing is giving this person more attention. Without you this wouldn't have been any of my concern. Instead of posting about someone else keep it to yourself because what you have to say about them is irrelevant. This is a homework site so to slow down the pace of things that aren't don't post stuff like this because you are just adding onto it. Thanks for the points have a great day god bless.
Brad has recorded insect activity data for 40 days. He has recorded 1/6 of the data needed for his science fair project. How many total days does he need to record data? Write an equation and explain how you used it to find your answer.
Answers
Answer:
240 days
Step-by-step explanation:
Create an equation where x represents the total number of days
Use the information that 40 days is 1/6 of the total:
40 = 1/6x
Now, solve for x:
40 = 1/6x
Multiply both sides by 6, since it is the reciprocal of 1/6
40 = 1/6x
240 = x
So, the total number of days he has to record data is 240 days.
write an equivalent expression using exponents “abaab”
Answers
Answer: a to the 3rd power and b to the 2nd power.
Step-by-step explanation:
You could do a*a*a and b*b.
Either way it's a3b2
Answer:
[tex]abaab = a^3b^2[/tex]
.
Step-by-step explanation:
[tex]a^n \times a^m = a^{n + m}[/tex]
Paula needed grounded beef to make lasagna for dinner. The ground beef cost $2.09 per pound at Vidalia Market. Write an equation to help Paula determine the total amount, y, she will pay for a given number of pounds of ground beef, x?
A. x = 2.09y
B. 2.09 = y/x
C. y = 2.09x
D. y = x/2.09
Answers
Answer:
C
Step-by-step explanation:
2.09x=y
eq C
Hope this helps plz hit the crown :D
Answer:
I think that it is C. y = 2.09x
Step-by-step explanation:
Hope this helped have an amazing day!
Which is an equation?
A) 6 - x
B) 3/4 x + 2
C) 12(7 - 3)
D) 6x - 6y - 6z
Answers
Answer:
12(7 - 3)
Step-by-step explanation:
All the other do not equal anything.
If –2 and –5 are the roots of the equation ax + bx + 20 = 0, find the values of a and b.
Answers
Answer:
a=2
b=14
Step-by-step explanation:
Step-by-step explanation:
a=2b=14.................
Please help I’ll give you brainliest uwu
Tom and Ana are both
botanists studying
flower pollination. In Tom's garden, the
ratio of roses to tulips is 3 : 1. In Ana's
garden, the ratio of roses to tulips is 5 : 2.
0 Part A: Tom's garden and Ana's garden
each have 30 tulips. H&w many more
roses are in Tom's garden than in Ana's
garden? Explain your reasoning.
Part B: Tom and Ana combined their
flowers into a single garden. What is the
ratio of roses to tulips in the combined
garden?
Answers
Answer:
A: tom has 15 more roses than ana does.
B: 11:4
Step-by-step explanation:
A: there is a 3:1 and 5:2 ratio of roses to tulips. that means that in tom's, there are 3 roses for every tulip and 5 roses for every 2 tulips in ana's.
we know that they each have 30 tulips so now for Tom.
3:1 so to find roses, we need to multiply the value of tulips to 3.
3×30=90 so we know he has a total of 90 roses.
for ana: she also has 30 tulips. BUT now her ratio is 5:2. so for every 2 tulips she has 5 roses. we need to divide the value of tulips by 2 so 30/2=15 and multiply it by 5, 15*5=75
THAT IS NOT THE ANSWER!! to find the rest of the answer, we have to subtract tom's amount by ana's amount: 90-75=15
B: to find this answer, we have to add all of the roses together and all of the tulips together. roses: 90+75=165. tulips: 30+30=60.
the ratio we get is 165:60. and now we need to simplify it.
Helpp I have 50 sec leftttn asappp
Answers
Answer:
The answer would be B) 17 1/3
Evaluate. (-5/2)^2 I totally forgot how to do this
Answers
Answer:
25/4
Step-by-step explanation:
[tex] \bigg( - \frac{5}{2} \bigg)^{2} = \bigg( \frac{5}{2} \bigg)^{2} = \frac{ {5}^{2} }{ {2}^{2} } = \frac{25}{4} \\ [/tex]
what is the interest earned in a savings account after 12 months on a balance of $2000 if the interest rate is 1.5% APY compounded yearly? round your answer to the nearest hundredth.
Interest = $ [?]
Answers
Answer:
$30
Step-by-step explanation:
2000 x .015 = 30
The interest earned in the savings account after 12 months on a balance of $2000 if the interest rate is 1.5% APY compounded yearly is $30
How to calculate compound interest's amount?If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:
[tex]CI = P\left(1 +\dfrac{R}{100}\right)^T - P[/tex]
The final amount becomes:
[tex]A = CI + P\\A = P\left(1 +\dfrac{R}{100}\right)^T[/tex]
For this case, we're specified that:
Initial amount = P = $2000Interest rate 1.5% annually (compound interest), or R = 1.5Time for which interest will be compounded = 12 months = 1 year = T (converted time to year as interest is being compounded annually).Thus, we get the amount of interest as:
[tex]CI = 2000\left(1 +\dfrac{1.5}{100}\right)^1 - 2000\\\\CI = 2000\times \dfrac{1.5}{100} = 30 \: \rm (in \: dollars)[/tex]
Thus, the interest earned in the savings account after 12 months on a balance of $2000 if the interest rate is 1.5% APY compounded yearly is $30
Learn more about compound interest here:
https://brainly.com/question/11897800
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A jet liner flying east with the wind traveled 2800 km in 4 hours 40 minutes. The return trip, flying against the wind, took 7 hours. Find the rate of the wind. *
Answers
Answer:
its pog
Step-by-step explanation:
Answer:
stop cheating on ur WRMS ALgebra 1 math test
Step-by-step explanation:
ik where u live
Simon leaves home at 10:30am. He has return home before 6:15pm. He has to travel to work, which takes 45 minutes; he is working a four hour shift. He wants to meet some friends after work. His journey to his friends is 10 minutes and his return journey home is 42 minutes. What is the maximum amount of time he can spend with his friends?
Answers
Answer:
2 hours and 18 minutes
Step-by-step explanation:
What is the solution to this equation? 7x + 3 = 10x - 5.4 Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answers
Answer:
Step-by-step explanation:
7x + 3 = 10x - 5.4
Bringing like terms on one side
3 + 5.4 = 10x - 7x
8.4 = 3x
8.4/3 = x
2.8 = x
I need help on another question, it keeps saying 7x-7 is wrong.
Answers
Step-by-step explanation:
y = 7x + 1
Slope - Intercept Form
seven and 15 hundredths as a decimal
Answers
Answer:
7.15
I hope this helps!
helppppppppppppppppppppppppppppppppppppp
Answers
Answer:
Step-by-step explanation:
A and C
How many terms are in the expression 4x2 + y - 0 ?
help pleaseeee
Answers
Answer:
3 I did the test to btw
Step-by-step explanation:
did the test
which expression is equal to -3(4x - 2) - 2x?
Answers
Answer:
-14x + 6
Step-by-step explanation:
-12x + 6 - 2x
-14x + 6
please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answers
Step-by-step explanation:
the answer is 15
since the triangle is a 90 degree triangle by the square
Answer:
no problem the answer is 15
What is the slope of the linear function
y=5/2x-4
is it
5/2
-5/2
-4
4
Answers
Answer:
5/2
Step-by-step explanation:
To find slope, just look directly at what is connected to the X. Don’t worry about anything else
what is -8/9 as a decimal
Answers
Answer:
-0.89
Hope I helped
Please help due by tonight EXPLAIN because I don’t want it to be wrong it’s one question. If you don’t know, don’t answer.
Answers
Answer: C
Step-by-step explanation:
Given the arrangement,
* what is the floor’s length? 4x90= ___ cm
* what is the floor’s breadth ___ x 90 = ____ cm
Answers
Answer:
the flooor length 360 and the floor breadth 4x90=360
Step-by-step explanation:
60 students want lemonade and 16 students want iced tea. What is the ratio of the number of students who want iced tea to the number of students who want lemonade?
Answers
Answer:
16:60 = 4/15
Step-by-step explanation:
There are 4,389 dogwood trees in the state park. The park workers are going to plant 342 more trees. How many trees will there be when they are done?
Answers
Answer:
4731
Step-by-step explanation:
4,389+342=4,731
Which statement best explains why the Tenth Amendment reserves some rights and powers to the states? The framers believed in the principle of federalism. The framers wanted the states to be more powerful than the national government. The framers wanted to limit citizens' rights. The framers wanted to control civil liberties.
Answers
Answer:
The farmers believed in the principal of federalism
Step-by-step explanation:
edge 2020
The tenth amendment reserved some powers to the states because the The framers believed in the principle of federalism.
The concept of federalism is a political term that describes the power of states or provinces to share power with the national government or the central government.
The 10th amendment agrees to federalism by providing that all powers that were not given to the federal government by the constitution, belongs to the states or the people.
Read more on https://brainly.com/question/12623993?referrer=searchResults