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
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
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)
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.
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!
find the slope hurry pleaseeee
Answer:
I think the answer is ¼, im not 100% aure tho.
Step-by-step explanation:
what is the scale factor of each model?
Answer:
5 inches
-I really tried
Which statement about the two triangles is correct?
Answer:
The second choice
Step-by-step explanation:
i dunno how to explain it
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:
I need help what is y over 5>= 8
Answer:
3 i think
Step-by-step explanation:
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
Please I will give brainliest
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 :)❤
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]
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
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
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:
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
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
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:
Please help, round to the nearest thousandth
Answer: 188.5
Step-by-step explanation:
A=2(πrh)+2(πr^2) (formula)
188.49556
PLEASEEEE SOMEONE HELP ME WITH THIS ITS DUE IN A COUPLE HOURS!!!!! FOR trigonometry
Answer:
I think the last one is the answer
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%.
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
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
Evaluate: (4/25)^1/2
What are the real or imaginary solutions of each polynomial equation?
If you can answer both questions thank you
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
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
Can someone help me pleasee :)
Answer:
ill help you
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.