Answers
9514 1404 393
Answer:
b) -9.8t +18
Step-by-step explanation:
b) The instantaneous rate of change is the derivative of the height function. The power rule is separately applied to each term, and the results added.
power rule: d/dx(x^n) = nx^(n-1)
Then the derivative is ...
dh/dt = 2(-4.9t^1) +18(1 ·t^0)
dh/dt = -9.8t +18
__
If you haven't been introduced to derivatives as such, then you find the instantaneous rate of change by finding the average rate of change over a vanishing interval.
[tex]\dfrac{dh}{dt}=\displaystyle\lim\limits_{h\to 0}{ \dfrac{h(t+h)-h(t)}{h}}\\\\\dfrac{dh}{dt}=\lim\limits_{h\to 0}\dfrac{(-4.9(t+h)^2+18(t+h)+23)-(-4.9t^2+18t+23)}{h}\\\\\dfrac{dh}{dt}=\lim\limits_{h\to 0}\dfrac{-4.9(2th+h^2)+18h}{h}=\lim\limits_{h\to 0}{(-9.8t +18 -4.9h)}\\\\ \boxed{\dfrac{dh}{dt}=-9.8t +18}[/tex]
Related Questions
Harry got a raise. He now makes 105% of his old salary.
If his old salary was $55,000, what is his new salary?
helppp
Answers
Answer:
we simply do - 55,000*105/100
Which is 55,000*1.05
And that is 57750
So his new salary is $57750
Thanks and mark me brainliest becuz i have good answer :)
Lorenzo's lovely lamp land buys a lava lamp for $24. They sell the lamp to the end customer for $50.40. What is the markup percent?
Answers
Answer:
110%
Step-by-step explanation:
100%->24
1%-> 0.24
50.40 -24 = 26.40
26.40÷0.24=110%
252.8 x 63.4 please I need help
Answers
Answer:
16027.52
Step-by-step explanation:
In solving quadratic equation, if the constant term is missing what is the best method to
use?
Answers
Step-by-step explanation:
If you are looking for its roots, try completing the square method, and factoring out the common terms. These two is what I usually use.4. Sarah, Toby, and their mother run an online store called Unique Bracelets that sells handmade bracelets consisting of unique, individually-painted charms. Each bracelet they sell consists of 12 small charms and 5 large charms. Each order also gets 5 blank spacer charms to use to separate charms or fill in the bracelet. They do not sell charms separately and do not sell bracelets in parts. (f) Write an equation showing the number of charms, y, needed for x bracelets purchased in an order. Describe what the equation means in a real-world context.
Answers
Complete question :
Sarah, Toby, and their mother run an online store called Unique Bracelets that sells handmade bracelets consisting of unique, individually painted charms. Each bracelet they sell consists of 12 small charms and 5 large charms. Each order also gets 5 blank spacer charms to use to separate charms or fill in the bracelet. They do not sell charms separately and do not sell bracelets in parts.
(a) Write an equation showing the number of charms, y, needed for x bracelets purchased in an order. Describe what the equation means in a real-world context.
(b) Sarah’s and Toby’s mother says the order she is filling needs 158 charms. How many bracelets were purchased in this order?
(c) Toby says they don’t have enough charms to fill an order that needs 264 charms. Sarah says it’s notpossible for an order to need 264 charms. Is Sarah right? Why or why not? Justify your answer.
Answer:
y = 17x + 5 ;
9 bracelets ;
Sarah is right
Step-by-step explanation:
Contents per bracelet :
Small charms per bracelet = 12
Large charms per bracelet = 5
Blank spacer charms per order = 5
Number charms, y needed for X bracelets in an order ;
1 order ; x bracelets
12 + 5 = 17 small and large charms
5 = black spacer charms per order
y = 17x + 5
B.)
Order requiring 158 charms, number of bracelets :
y = 158
158 = 17x + 5
158 - 5 = 17x
153 = 17x
x = 153 / 17
x = 9 bracelets
Order requiring 264 charms
y = 264
264 = 17x + 5
264 - 5 = 17x
259 = 17x
x = 259 / 17
x = 15.23 bracelets
Sarah is right, the number of bracelets should be a positive integer and not a decimal.
Charlotte has 85 stickers. Her brother has x times more stickers than her. Write
an expression to show how many stickers her brother has.
?
Answers
Step-by-step explanation:
Her brother has 85 * x stickers.
In the number 8246315 what sigit is in the ones place
Answers
Answer:
5
Step-by-step explanation:
The ones place is the one most to the right that isn't after a decimal point.
Answer:
5, since it is all the way to the right
Step-by-step explanation:
if you ever have a big number, the number in thes ones place is ALWAYS on the far right, except if its a decimal !
i hope this helps !! :D
A round swimming pool has a radius of 12 feet. What is its circumference?
Answers
c=2πr
=2*3.14*12
=75.36 m
it's circumference is 75.36 m
Answer:
about 452.16
Step-by-step explanation:
c = pi r²
12²= 144
pi is about 3.14
144 × 3.14 = 452.16
An observer (O) spots a plane flying at a 42° angle to his horizontal line of sight. If the plane is flying at an altitude of 15,000 feet, what is the distance (x) from the plane (P) to the observer (O)?
A right triangle is shown with angle O marked 42 degrees, hypotenuse marked x, and height marked 15,000 feet.
10,035 feet
16,648 feet
20,188 feet
22,417 feet
Answers
Answer:
22,417
Step-by-step explanation:
Just took the test.
Pythagoras theorem states that for a right angle triangle the square of the hypotenuse is equal to the sum of the other two sides of the plane. The distance (x) from the plane (P) to the observer (O) is 22417.75 feet.
Given information-The observer angle to the plane is 42 degrees.
The height of the plane is 15000 feet.
As angle O is 42 degree and the height is 15000. Let suppose the base is y feet long. Thus angle O can be given as,
[tex]\begin{aligned} \tan42^o&=\dfrac{15000}{y} \\ y&=\dfrac{15000}{\tan42^o} \\ y&=16660\\ \end[/tex]
Thus the base of the right triangle is 16660 feet.
Pythagoras theoremPythagoras theorem states that for a right angle triangle the square of the hypotenuse is equal to the sum of the other two sides of the plane.
For the given problem the the hypotenuse side is x feet.
[tex]\begin{aligned}\\ x^2&=15000^2+16660^2\\ x&=22417.75\\ \end[/tex]
Thus the distance (x) from the plane (P) to the observer (O) is 22417.75 feet.
Learn more about the Pythagoras theorem here;
https://brainly.com/question/343682
get and f =½ then g-4f equals
Answers
Answer:
i dont know
Step-by-step explanation:
bye
find the sum −10t−7−10t−7
Answers
Answer:
-20t-14
Step-by-step explanation:
-10t-10t= -20t
-7-7= -14
Question 11
A house is currently worth $120,000 and is increasing in value at a rate of 6% per year
Which explicit expression would model the value of the house after 3 years?
A
120,000(0.94)3
B
120,000(1.06)
120,000 + 0.94 (3)
120,000 + 1.06 (3)
D
Answers
B
If it increases 6% after 3 years it would be something like B
1440 tons of grain where brought to a silo over two days. On the second day 80 percent of the amount of the amount of the grain delivered during the first day where brought in. How many tons where delivered on the first day
Answers
Answer:
1152 tons of grains
Step-by-step explanation:
We are told in the above question:
Total number of grains = 1440 tons of grain
On the second day 80 percent of the amount of the amount of the grain delivered during the first day where brought in.
Hence,
The number of grains brought in during the first day = 80% × 1440 tons
= 80/100 × 1440 tons
= 1152 tons of grains
Four students are reading books with different numbers of pages. The table shows the number of pages each student has read. Drag each name to order the students from the lowest percentage of their book read to the highest percentage of their book read. Pages Read Total Number of Pages Elliot 105 175 = Elliot Frankie 165 300 Hayden 88 220 = Frankie Ruth 117 260 = Hayden = Ruth
Answers
Answer:
i think is 434.54
Step-by-step explanation:
Answer:
434.54
Step-by-step explanation:
help me please will mark you brainliests
Answers
Answer:
tommorow what time exam you have you help me with answers iil help you back
Step-by-step explanation:
your answer is 180-2x hope it helps u
estimate the difference
7 3/4 subtracted by 2 2/5
show your work
Answers
(7-2)+(3/4-2/5)
5+7/20
5 and 7/20 or 5.35
Answer:
5 7/20
Step-by-step explanation:
basically, you are going to want to turn these into improper fractions
7 3/4 = 28/4 + 3/4
= 31/4 (no further simplification)
2 2/5 = 10/5 + 2/5
= 12/5
now get common denominator to subtract
31/4 - 12/5
155/20 - 48/20 = 107/20
if you want this back into mixed fraction then convert
107/20 = 5 7/20
Please Help!
if these two shapes are similar, what is the measure of missing length q?
Answers
5 / 8 = 25 / q
5*q = 8 * 25
5q = 200
q = 40
Check:
60 / 96 = 25 / 40
5/8 = 5/8 :)
Answer:
40
Step-by-step explanation:
96 ÷ 60 = 1.6
25 × 1.6 = 40
Disclaimer: Yay, okay. The person above me got the same answer so this is right.
Alana completed a problem where she had to find the sum of the polynomials (3x^2+8x-4) and (-8x^3-3x+4) Her answer is 0. Describe and correct her mistake. When graphed, how many times does the sum change directions?
Answers
Answer:
la pregunta está en blanco, ¿podría repetirla?
Step-by-step explanation:
If F(x)=-x+6 and g(x)=3x^2-x+3 find the value of (g•f)(8)
Answers
9514 1404 393
Answer:
-374
Step-by-step explanation:
f(8) = -8 +6 = -2
g(8) = (3x -1)x +3 = (3·8 -1)8 +3 = 23·8 +3 = 187
Then the product is ...
(g•f)(8) = g(8)•f(8) = 187·(-2)
(g•f)(8) = -374
Kiran's family took a road trip to Niagara Falls. Kiran slept through the last 62% of the trip. If the total length of the trip was 1000 miles, how many miles had they traveled when Kiran fell asleep?
Answers
Answer:
380 miles
Step-by-step explanation:
First, find 62% of 1,000:
1,000 • .62 = 620 miles
Next, subtract 620 from 1,000:
1,000 - 620 = 380 miles
The family had traveled 380 miles before Kiran fell asleep
Given that ƒ(x) = x2 + 1 and g(x) = –3, multiply the functions (g · ƒ)(x).
Answers
Answer:
(2+1×-3)(x) = 3×(-3)(x) =-9x
Answer:
(g · ƒ)(x) = –3x2 – 3
Step-by-step explanation:I took the test
Farias car is worth 22000. Of the value of the car decreases by 8% what will her car be worth next year?
Answers
Answer:
$17600
Step-by-step explanation:
BRAINLIEST GOES TO THE CORRECT ANSWER!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
11.99
Step-by-step explanation:
3x-4y=-14 6x+3y=27 don’t understand how to solve
Answers
tama Ang kanyang sagot
plato de Leonardo tiene 0.2 kg de arroz y el de su hermana Leticia tiene 0.3 kg si quieren que los dos tengan lo mismo y los juntan para después repartirse los en partes iguales cuánto tendrá cada plato
Answers
Answer:
0.5 kg
Step-by-step explanation:
Solve for x
x^2 - 7x + 10 = 0
Answers
Answer:
Step-by-step explanation:
x²-7x+10=0
(x-2)(x-5)=0
x=2 or x=5
Answer:
Step-by-step explanation:
x2−7x+10=0
Step 1: Factor left side of equation.
(x−2)(x−5)=0
Step 2: Set factors equal to 0.
x−2=0 or x−5=0
x=2 or x=5
(You can confirm this by plugging in the numbers yourself)
Need help ASAP pls help
Answers
Answer: The correct answers are B, D, and F.
Step-by-step explanation: B is correct because 8 x 5 is 40, and 40-5 is less than or equal to 36. C is correct because if you plug in 41/8, the answer is 36. Anything higher than 41/8 is greater than 36. F is correct because 5 is a solution and 5 is less than 41/8. Therefore, the correct answers are B, D, and F.
Calculate the simple interest on $ 6400 at 10% p.a. for 9 months.
Answers
Step-by-step explanation:
SI=P×T×R÷100
SI= 6400×9×10÷100
SI=576000÷100
SI=5760
write : what’s the algebraic expression for the difference of 9 and x
Answers
Answer:
9-x
Step-by-step explanation:
ez dub
Answer:
9-x
Step-by-step explanation:
the difference of (tells you to subtract) 9 and x (9-x)
hope this helps have a blessed
(need help fast)
Which of the following is an open statement?
A)
An angle that measures 95° is an obtuse angle.
B)
An angle that measures 95° is an acute angle.
C)
An angle that measures 40° is an acute angle.
D)
∠XYZ is an acute angle.
Answers
Answer:
D) is the right answer.
Hope it helps!
Thanks!
Answer:
I believe the correct answer is C) An angle that measures 40° is an acute angle. I'm not 100% sure if this is the correct answer.
