Answer:
[tex]\displaystyle \frac{dy}{dx} = 4[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Derivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Step-by-step explanation:
*Note:
Treat k as an arbitrary constant.
Step 1: Define
Identify
[tex]\displaystyle y = 4x + k[/tex]
Step 2: Differentiate
Derivative Property [Addition/Subtraction]: [tex]\displaystyle y' = \frac{d}{dx}[4x] + \frac{d}{dx}[k][/tex]Rewrite [Derivative Property - Multiplied Constant]: [tex]\displaystyle y' = 4 \frac{d}{dx}[x] + \frac{d}{dx}[k][/tex]Basic Power Rule: [tex]\displaystyle y' = 4[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
Evaluate: (4/25)^1/2
Find the distance between the pair of points. (4,1) and (9,6)
Answer:
5√2 or 7.07 units
Step-by-step explanation:
To find the distance between two points, we want to use the distance formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]
Plug in the given values of (4,1) and (9,6)
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
d = √[(9 - 4)² + (6 - 1)²]
Simplify the parentheses.
d = √[(5)² + (5)²]
Simplify the exponents.
d = √[25 + 25]
Add.
d = √[50]
Evaluate the radical.
5√2 or 7.07
Round the decimal.
5√2 or 7.07 units
Hope this helps!
what is the scale factor of each model?
Answer:
5 inches
-I really tried
Please help on these two question it is due today please help me.
Answer: 7 is 6 feet by 21 feet
8 is 12 inches
Step-by-step explanation:
Help please, and don't comment just to get the points :(
Answer:
60 degrees
Step-by-step explanation:
As the triangle is similar angle don't change so 50+70=120 and the angle of a triangle total to 180 so 180-120=60
Answer:
60°
Step-by-step explanation:
As it is said that the triangles are similar so In the similar triangles corresponding angles are equal so
< A = 50°
<E = 70°
< B = < E = 70° { being corresponding angles of similar triangles }
Now
< A + <B + < C = 180° {Being sum of angles of triangle }
50° + 70° + < C = 180°
< C = 180° - 120°
< C = 60°
Hope it will help :)❤
What is the area of this figure?
Enter your answer in the box.
8 m
m2
p>
5 m
9 m
Answer:
81m²
Step-by-step explanation:
I took the quiz :)
Answer:
81
Step-by-step explanation:
got it right
Given the first term and common ratio: Find the 10th Term. The first term is equal to 1 and the common ratio is
equal to -2.
Answer:
-512
Step-by-step explanation:
The appropriate general formula for a geometric series is a(n) = a(1)*r^(n - 1).
In this problem the first term, a(1) = 1, and the common ratio is r = -2. The pertinent geometric series is thus:
a(n) = (-2)^(n - 1), and the 10th term is a(10) + (-2)^(10 - 1) = -512 = a(10)
Please I will give brainliest
Mike walked 5/8 of the way to school before it started raining.how many percent of the trip did he get before it rained
Answer:
62.5%
Step-by-step explanation:
To find the percent, divide 5 by 8, and multiply it by 100:
5/8
= 0.625
0.625(100)
= 62.5
So, Mike walked 62.5% of the trip
Answer:
62.5%
Step-by-step explanation:
5/8 As A Decimal Is 0.625
So Inequalify 5/8. So, 62.5/100
then convert 0.625 by 5/8, Which is 62.5.
So your answer is 62.5%.
Solve for x. -4x + 6(6– 2x) = -7x – 36 Select one:
a. -7
b.15
c.8
d.3
Answer:
8
-4x+6(6-2x) = -7x - 36
-4x+36-12x = -7x-36
-16x+36 = -7x-36
-16x +7x = -36-36
-9x = -72
x = 72/9
x = 8
WHAT IS THISSSSSSSSSSSSS
Answer:
1 is to 2
Ie
1/2
Step-by-step explanation:
hope it helps
Answer:
2 to 1
which equals 2
Step-by-step explanation:
if you look at point B (2,1) and B’ (4,2)
we can see that each value is multiplied by 2
its 94 i said it first tho so does that mean i get brainliest
Answer:
YA if you said it first ya you are supposed to get brainlies ONLY if the question says will give brainliest if your right
Step-by-step explanation:
How long does it take $6,000 to quadruple if it is invested at 9.1% interest compounded annually?
a
15.9 years
b
17.8 years
c
37 years
d
222,222.22 years
Answer:
1. 15.9 years
Step-by-step explanation:
You must solve this equation:
[tex]6000 \cdot 1.091^n > 24000[/tex]
So [tex]1.091^n > 4[/tex]
Take the log left and right:
[tex]\log 1.091^n > \log 4[/tex]
use the log property that you can put the exponent in front:
[tex]n \cdot \log 1.091 > \log 4[/tex]
[tex]n > \frac{\log 4}{\log 1.091}[/tex]
n > 15.917
find the slope hurry pleaseeee
Answer:
I think the answer is ¼, im not 100% aure tho.
Step-by-step explanation:
Please help, round to the nearest thousandth
Answer: 188.5
Step-by-step explanation:
A=2(πrh)+2(πr^2) (formula)
188.49556
15 POINTS!!!!!
Choose the postulate used to prove the triangles are congruent. If they are not congruent, choose "Not Congruent"
A. SAS
B. AAS
C. ASA
D. SSA
E. Not Congruent
Answer:
A. SAS
the triangle is congruent by side angle and side
In a class there are 15 students. 8 of them like playing soccer, 6 of them like swimming, and 2 like both and swimming and playing soccer. How many students do not like playing soccer and do not like swimming?
Answer:
6+8-2=12, 15-12=3 answer=3
HURRYY I ONLY HAVE 15 MINS!!! Find (a) the perimeter and (b) the area of the figure. Use $3.14$ or $\frac{22}{7}$
for $\pi$ . Round your answer to the nearest hundredth, if necessary.
Answer:
I only know the area sorry it is 7.065 ft2
Answer:
Perimeter: 7.712
Area: 3.534
Step-by-step explanation:
A= [tex]\pi*r^{2}/2\\[/tex]
L=[tex]\pi *r/2\\[/tex]
Will give brainliest plz help!
Answer:
6.28cm
Step-by-step explanation:
I think for me the easiest would be to find the circumference and divide by 4, since the arc is 1/4 of the circumference of the circle.
C=2πr
C=2(3.14)(4)
C = 25.12cm
25.12cm/4 = 6.28
Write an equation of the line shown in the graph in slope intercept form (y = mx + b). Show
your work for full credit.
(4,6)
(2, 2)
Answer:
y = 2x - 2
Step-by-step explanation:
Points on graph: (4,6) and (2, 2)
Slope:
m=(y2-y1)/(x2-x1)
m=(2-6)/(2-4)
m=(-4)/(-2)
m = 2
Slope-intercept:
y - y1 = m(x - x1)
y - 6 = 2(x - 4)
y - 6 = 2x - 8
y = 2x - 2
6, 18, 54, 162
What is the common ratio
Answer:
3
Step-by-step explanation:
The common ratio is 3 because 6 x 3 = 18 , 18 x 3 = 54 , and 54 x 3 - 162
I need help please ASAP lm really stuck on this question
Answer:
y=2x+3
Step-by-step explanation:
slope is rise over run. goes up to and over one so your slope is 2/1 or 2.
the c part of the equation of the line is your y-intercept(where the line crosses the y-axis) this is at 3.
so, y=2x+3
PLEASEEEE SOMEONE HELP ME WITH THIS ITS DUE IN A COUPLE HOURS!!!!! FOR trigonometry
Answer:
I think the last one is the answer
determine the geometric mean of 8 and 12, to the nearest tenth.
Answer:
is 10
Step-by-step explanation:
i can not figure it out
Answer:
1,3,5,7,10
Step-by-step explanation:
To lease a new car, you must make a down payment when you sign the lease, then pay $199 per month. Six months after signing his lease, Mr. Scott had paid $2,694. Write and solve an equation to find the total amount he will have paid after 2 years.
The solution for this problem is:
Let x be the number of months; and
Let y be the amount paid
We know that m is $199 per month and the two other given are 6 months and 2694.
y = 199 (x -6) + 2694
y = 199 (36 -6) + 2694
y = 199 (30) + 2694
y = 8664
Mr. Scott paid $8664 after 3 years.
Look at the figure. Find the value of x
Answer:
x=15
Step-by-step explanation:
This is an Isosceles Triangle, so that means there are two angels that are the same. So we could rearrange the equations to get:
[tex]3x=5x-30\\\text{ subtract 5x on both sides }\\\\-2x=-30\\\text{ divide by two on both sides }\\x=15\\[/tex]
Hope it helps.
Which statement about the two triangles is correct?
Answer:
The second choice
Step-by-step explanation:
i dunno how to explain it
I need help what is y over 5>= 8
Answer:
3 i think
Step-by-step explanation:
What are the real or imaginary solutions of each polynomial equation?
If you can answer both questions thank you
Can someone help me pleasee :)
Answer:
ill help you
Step-by-step explanation: