Larry Monroe
The Derivative-Equation of tangent line
Jan 01, 10:09:06 PM
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Given the function f(x) = 324 – 2,5, determine the derivative of f at x = 1 using
the limit shown below. You do not have to simplify your answer.
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Answer: lim
h-0
T
attempt 1 out of 2
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Answers
Step-by-step explanation:
Using the limit definition of a derivative, we have
[tex]\frac{f(1+h)-f(1)}{h} = \frac{(3(1+h)^{4} - 1^{5}) - (3*1^{4} - 1^{5})}{h}[/tex]
Related Questions
The surface area of a cube is represented by the expression below, where s is the side length of the cube. Find the surface area of a cube-shaped jewelry gift box with a side length of 9 centimeters.
Answers
Answer:
486 centimeters³
Step-by-step explanation:
Surface area of a cube = 6s²
Where,
s = side length
Find the surface area of a cube-shaped jewelry gift box with a side length of 9 centimeters.
s = 9 centimeters
Surface area of a cube = 6s²
= 6 × 9²
= 6 × 81
= 486 centimeters³
Surface area of a cube-shaped jewelry gift box with a side length of 9 centimeters 486 centimeters³
30 points each answer Math
After being rearranged and simplified, which of the following equations could be solved using the quadratic formula? Check all that apply.
Choices are in picture. Please only real answers.
Answers
Answer:
B and D (another answer but not sure about the other one)
Answer: A and B
Step-by-step explanation: I just did it
If J is the centroid of cde, de=52, fc=15, he=14, find each missing measure
Answers
Answer:
[tex]DG = 26[/tex]
[tex]GE = 26[/tex]
[tex]DF = 15[/tex]
[tex]CH = 14[/tex]
[tex]CE = 28[/tex]
Step-by-step explanation:
The figure has been attached, to complement the question.
[tex]DE = 52[/tex]
[tex]FC = 15[/tex]
[tex]HE = 14[/tex]
Given that J is the centroid, it means that J divides sides CD, DE and CE into two equal parts respectively and as such the following relationship exist:
[tex]DF = FC[/tex]
[tex]CH = HE[/tex]
[tex]DG = GE[/tex]
Solving (a): DG
If [tex]DG = GE[/tex], then
[tex]DE = DG + GE[/tex]
[tex]DE = DG + DG[/tex]
[tex]DE = 2DG[/tex]
Make DG the subject
[tex]DG = \frac{1}{2}DE[/tex]
Substitute 52 for DE
[tex]DG = \frac{1}{2} * 52[/tex]
[tex]DG = 26[/tex]
Solving (b): GE
If [tex]DG = GE[/tex], then
[tex]GE = DG[/tex]
[tex]GE = 26[/tex]
Solving (c): DF
[tex]DF = FC[/tex]
So:
[tex]DF = 15[/tex]
Solving (d): CH
[tex]CH = HE[/tex]
[tex]CH = 14[/tex]
Solving (e): CE
If [tex]CH = HE[/tex], then
[tex]CE = CH + HE[/tex]
[tex]CE = 14 + 14[/tex]
[tex]CE = 28[/tex]
Ms. Buback is competing in a race in which she both runs and rides a bike. She runs 5 kilometers in 0.5 hours and rides her bike 20 kilometers in 0.8 hours. At the rate given, how many kilometers can she bike in one hour?
Answers
Answer:
25.02 km/h
Step-by-step explanation:
60 min × 0.8 = 48 min
20 km÷48 = 0.417 km/min
0.417 × 60 = 25.02 km
combine the like terms to make a simplified expression: -2w - 5w
I really suck at these types of math im sorry
Answers
Answer:
-7w
Step-by-step explanation:
-2w - 5w are like terms because they both have "w"
-2 - 5 = -7
Point M is the midpoint of point A and point B. Find the coordinates of point B .
A(-7,-10) M( -19/2 , -9/2)
Answers
Answer:
coordinate of point b is 12,1 by midpoint formula
Step-by-step explanation:
take mp formula and evaluate by putting value it will give you x again same process then it will give you u
how do you solve this equation k=4L-7
Answers
Answer:
l=k/4+7/4
Step-by-step explanation:
Which of the following statements are true of 12 and -12?
They are the same distance from zero.
They are a zero pair.
They are equivalent.
They are opposites.
Answers
Answer:
your answer would be A.
Step-by-step explanation:
They are the same distance from zero.
Answer:
They are the same distance from zero
zero pairs
and opposites
3/4 divided by 1/5
Please answer soon
Answers
Answer:
15
Step-by-step explanation:
im in algebra two so you can trust my answer. happy holidays and stay safe!
3.75
forgive me if i’m wrong but i’m positive it’s correct
How does the graph change between point A and point C?
O The graph increases, then decreases.
O The graph decreases, then remains constant.
O The graph decreases, then increases.
O The graph increases, then remains constant.
Answers
Answer:
The answer is option D. Best of luck
Answer:
the last one
the graph increases , then remains constant
#2: Given the geometric sequence 200, 100, 50, 25... (This one is tricky)
Write the explicit formula.
• Determine the 15th term of the sequence?
Answers
Açık formülü yazın.
• Dizinin 15. terimini belirleyin?
Answer:
see explanation
Step-by-step explanation:
The explicit formula for a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 200 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{100}{200}[/tex] = [tex]\frac{1}{2}[/tex] , then
[tex]a_{n}[/tex] = 200 [tex](\frac{1}{2}) ^{n-1}[/tex] ← explicit formula
The 15 th term is then
a₁₅ = 200 × [tex](\frac{1}{2}) ^{14}[/tex]
= 200 × [tex]\frac{1}{16384}[/tex]
= [tex]\frac{200}{16384}[/tex] ← divide numerator/ denominator by 8
= [tex]\frac{25}{2048}[/tex]
Find the solution of the system of equations.
- 7x – 4y = -44
7x - 3y = 16
Answers
Answer:
{x,y} = {5,8}
Step-by-step explanation:
[1] 7x-3y+5=16
[2] 4y=3x+17
[1] 7x - 3y = 11
[2] -3x + 4y = 17
// Solve equation [2] for the variable y
[2] 4y = 3x + 17
[2] y = 3x/4 + 17/4
// Plug this in for variable y in equation [1]
[1] 7x - 3•(3x/4+17/4) = 11
[1] 19x/4 = 95/4
[1] 19x = 95
// Solve equation [1] for the variable x
[1] 19x = 95
[1] x = 5
// By now we know this much :
x = 5
y = 3x/4+17/4
// Use the x value to solve for y
y = (3/4)(5)+17/4 = 8
A shirt is priced at $12. What is the price after a 15% discount and 7% sales tax?
Answers
the total, end price is $10.91
15% of 12 = 1.8 which makes it 10.2
7% of 10.2 = 0.714 which makes 10.91
the end price is $10.91
May I have brainliest please? :)
Pls help
y = 2x + 2
4x - y = -6
Answers
Answer:
x = - 2, y = - 2
Step-by-step explanation:
Given the 2 equations
y = 2x + 2 → (1)
4x - y = - 6 → (2)
Substitute y = 2x + 2 into (2)
4x - (2x + 2) = - 6 ← distribute and simplify left side
4x - 2x - 2 = - 6
2x - 2 = - 6 ( add 2 to both sides )
2x = - 4 ( divide both sides by 2 )
x = - 2
Substitute x = - 2 into (1) and evaluate for y
y = 2(- 2) + 2 = - 4 + 2 = - 2
solution is x = - 2, y = - 2
I need these 2 questions please!!! And if you can do the bottom one I’ll give you brainliest
Answers
Answer:
for the first one the answer is .50 . for the second one you put for every .50 there is 3.50 and for number 3 for 7 is 49
Sarah and her friends ordered a pizza. Sarah ate 5 1 of the pizza. Her friend John ate 20% and her friend Jules ate half of the pizza. How much pizza is left over?
Answers
Given:
Sarah ate [tex]\dfrac{1}{5}[/tex] of the pizza.
Her friend John ate 20%.
Her friend Jules ate half of the pizza.
To find:
The remaining part of the pizza.
Solution:
We have,
Sarah ate = [tex]\dfrac{1}{5}[/tex] of the pizza.
John ate = [tex]20\%[/tex] of the pizza.
= [tex]\dfrac{20}{100}[/tex] of the pizza.
= [tex]\dfrac{1}{5}[/tex] of the pizza.
Jules ate = [tex]\dfrac{1}{2}[/tex] of the pizza.
Total part of a pizza they ate = [tex]\dfrac{1}{5}+\dfrac{1}{5}+\dfrac{1}{2}[/tex]
= [tex]\dfrac{2+2+5}{10}[/tex]
= [tex]\dfrac{9}{10}[/tex] of the pizza.
Now, the remaining pizza is
Remaining pizza = 1 - Total part of a pizza they ate
= [tex]1-\dfrac{9}{10}[/tex] of the pizza.
= [tex]\dfrac{10-9}{10}[/tex] of the pizza.
= [tex]\dfrac{1}{10}[/tex] of the pizza.
Therefore, the remaining pizza is [tex]\dfrac{1}{10}[/tex] of the pizza.
Denis let go of a penny at the top of a well and the penny fell straight down to the bottom of the well the top of the well was 1 1/2 meters above ground . The bottom of the well was 11 meters below ground .what does -12 1/2 tell us
Answers
Answer:
The distance between the top of the well and the bottom of the well was 12 1/2
Step-by-step explanation:
(a.k.a B) i did it and got it right :)
My equation equals 180. With the 3 variables missing
Answers
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, and it needs additional information before it can be answered.
However, a possible question could be that we generate an equation that has 3 variables and equals 180.
A possible question is:
The sum of three consecutive numbers is 180. What is the highest number?
And the solution is as follows:
Let the three numbers (in order of smallest to greatest) be x, y and z
So, the sum is:
[tex]x + y + z = 180[/tex]
Since the numbers are consecutive, then the following relationship exist:
[tex]y = x + 1[/tex]
[tex]x = x + 2[/tex]
Substitute x + 1 for y and x + 2 for z in [tex]x + y + z = 180[/tex]
[tex]x + x + 1 + x + 2 = 180[/tex]
Collect Like Terms
[tex]x + x + x = 180 - 3[/tex]
[tex]3x = 177[/tex]
Solve for x
[tex]x = 177/3[/tex]
[tex]x = 59[/tex]
The value of the highest being is:
[tex]z = x + 2[/tex]
[tex]z = 59 + 2[/tex]
[tex]z = 61[/tex]
You can generate as many equation as possible
A teacher starts on a salary of $25000. each year the teacher gets a pay rise of $1500. the teacher is employed for 30 years.
a)Find their salary in their final year
b)Find the total they have earned during their teaching career.
c)If the inflation rate is on average 1.5% each year, find the real value of their final salary at the end of their final year in terms of the value at the beginning of their career, giving your answer to the nearest $100.
Answers
Answer:
A bachelor's degree with a licensure in your state is enough to be a teacher, but it is also the most basic qualification and will earn you the most basic salary. Teachers looking to increase their salary may benefit from a ...
The solution of the equation is —
Answers
Answer:
x=5
Step-by-step explanation:
4(x+3)=32
4x+12=32
4x+12-12=32-12
4x=20
x=5
Find the slope of the line that contains (7, -4) and (3, -3).
Answers
Answer:-1/4
Step-by-step explanation:because that is the answer i got
Answer:
1 , 3
Step-by-step explanation:
Try using rise over run
Tim buys a torch and a battery. The torch costs 11 times as much as the battery. Tim pays with a £10 note and gets £4.84 change. How much did the battery cost?
Answers
A school basketball team has an expense account and a fundraising account. After t weeks, the balance of the expense account is (450−70t) dollars and the balance of the fundraising account is (275+48t) dollars.
a. Write an expression in simplest form that represents the total amount (in dollars) in both accounts after t weeks.
Answers
Answer: 707$ because
Step-by-step explanation: if you do the math you can only get this number the wrong and right way
chuck was chopping wood.when he was done he had 25 kg of firewood what was most likely the weight of the wood before he chopped it
Answers
Answer:
The weight of the wood before he chopped it is 245 N
Step-by-step explanation:
The law of conservation of mass states that for a given isolated system, mass (or matter) can not be created neither can it be destroyed, but it can be transformed into different forms
Therefore, whereby all the wood Chuck chops is taken as firewood, (wood which is dry is about 100% consumable as firewood) the mass of the wool before he chopped the wood = The mass of the firewood he had after chopping the wood = 25 kg
Weight = Mass × The acceleration due to gravity, g
g = Constant = 9.8 m/s²
The weight of the wood before he chopped it = 25 kg × 98 m/s² = 245 N.
Answer:
as much as it wants
Step-by-step explanation:
The measured of angle C is ___ degrees, and the measure of angle D is ___ degrees
Answers
Answer:
angle c is 40° where angle d is75°
How come nobody answers my questions? Like wth, I'm stuck but everyone else is getting their questions answered left and right.
Answers
Answer:
That is a good question and it might be your question you are trying to find the answer and maybe your question looks hard
Hope this help :)
Step-by-step explanation:
Costs of homes can be very different in different parts of the United States. a. A 450-square-foot apartment in New York City costs $540,000. What is the price per square foot? Explain or show your reasoning. b. A 2,100-square-foot home in Cheyenne, Wyoming, costs $110 per square foot. How much does this home cost? Explain or show your reasoning.
Answers
Answer:
The cost of homes per square foot differs in different part of the United states. The cost of homes per square foot is gotten by using the formula:
cost of homes per square foot = Cost of apartment / area of apartment
1) Cost of apartment = $540000, area of apartment = 450 ft²
cost of homes per square foot = Cost of apartment / area of apartment = $540000/ 450 ft² = $1200 / ft²
2) cost of homes per square foot = $110/ ft², area of apartment = 2100 ft²
cost of homes per square foot = Cost of apartment / area of apartment
$110 / ft² = Cost of apartment / 2100 ft²
Cost of apartment = $110 / ft² × 2100 ft² = $231000
Step-by-step explanation:
Hope this helps plz mark brainiest
The other person that answered this never got their brainliest bc there was only one answer so now you can give them a brainliest plz do.
I need help please!!!!!!
Answers
Please give the correct answer and the solution if you can
Answers
Answer:
the answer is b the solution is 6
The machine that Holley operates tightens 40 bolts every 3 minutes. The bolts are delivered to her machine station in boxes containing 1,000 bolts each. Which equation can be used to determine t, the number of minutes it takes Holley's machine to tighten a box of 1,000 bolts at the same tightening rate?
Answers
Answer:
75
Step-by-step explanation: