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
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si la medida de un angulo es tres veces la medida de su suplemento cual es la medida del angulo
Answer:
El ángulo lo representaremos por A
Su suplemento es 180-A
A=3(180-A)
A=540-3A
3A+A=540
4A=540
A=540/4
A=135°
Step-by-step explanation:
135=3(180-135)
135=3(45)
135=135
The measure of the angle is 135 degrees when the measure of an angle is three times the measure of its supplement.
Let's denote the measure of the angle as x.
The supplement of an angle is the angle that, when added to the given angle, equals 180 degrees. So, the measure of the supplement of the angle is 180 - x.
According to the given information, the measure of the angle is three times the measure of its supplement. Mathematically, we can express this as:
x = 3( 180 - x )
Now, let's solve this equation to find the measure of the angle:
x = 3( 180 - x )
x = 540 - 3x
4x = 540
x = 540 / 4
x = 135
Therefore, the measure of the angle is 135 degrees.
To know more about supplement click here :
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The question is in Spanish question in English is :
If the measure of an angle is three times the measure of its supplement, what is the measure of the angle?
How many times larger is 3.6 x 106 than 720,000
Answer:
720,000 is 719,618.4 larger than 3.6 x 106
Step-by-step explanation:
In the triangle CDE, point Y is the midpoint of segment CD and point X is the midpoint of segment DE,
Solve for x
A, 8
B. 6
C. 10
D-10
Answer:
Option A. 8 will be your answer
Step-by-step explanation:
hope it helps you
have a great day!!!
Use distributive property. 4 x 63 = ??
Answer:
(4) * (63)
252
(*￣3￣)╭
The sales tax rate in Connecticut is 6.35%. Megan wants to buy a jacket with a $45.00 price tag. She has a gift card to the store she wants to use. What amount needs to be on the gift card for Megan to be able to buy the jacket using only the gift card?
Answer:
$47.86
Step-by-step explanation:
A tax is a compulsory amount levied by the government or an agency of the government on goods and services
Taxes increases the price of goods and services. Thus, the amount paid would increase by the tax rate
Amount that needs to be on the gift card = amount of tax + price of the jacket
Price of the jacket = $45
Amount of tax = percentage tax rate x price of the jacket
0.0635 x $45 = $2.86
$45 + $2.86 = $47.86
four ways on how save water
Which lines are perpendicular to 3x + 6y = 5? Select all that apply.
A. 3x + 6y = 10
B. y = 2x - 1
C. y - 4 = 2(x + 7)
D. x - 2y = -6
The lines which are perpendicular to 3x + 6y = 5 are; Choice B and C; y = 2x - 1 and y - 4 = 2(x + 7).
Perpendicular linesFrom the task content, it follows that the given equation is; 3x+ 6y = 5.
By rewriting the equation in slope intercept form; it follows that; y = (-1/2)x +5/6. Hence, the slope of the line is; -1/2.
From line geometry, it follows that two lines are perpendicular if; m1 × m2 = -1.
Therefore, a line perpendicular to the given line will have a slope of 2.
From the given option, the lines which are perpendicular to 3x + 6y = 5 upon conversion to the Slope-intercept form are; Choice B and C.
Read more on perpendicular lines;
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(BRAINLIEST!!) Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
The polygons are similar, but not necessarily drawn to scale. Find the value of x.
question 3/4
Answer:
i am having trouble with that too
Step-by-step explanation:
Answer:
Since we are told that the two given polygons are said to similar, their corresponding side lengths are proportional to each other.
so to solve
(x - 3)/2.5 = 16/4
(x - 3)/2.5 = 4
Multiply both sides by 2.5
x - 3 = 4 × 2.5
x - 3 = 10
Add 3 to both sides
x = 10 + 3
x = 13
So the value of x is 13.
hope this helps
Work out the value of x.
Jimmy is on the driving team at his school the quadratic function graphed on the coordinate plane below represents on of jimmy dives. Where x represent the horizontal distance , in feet that he is from the diving board and y represent his height , in feet above the water level . Explain the meaning of the meaning of x and y intercept in terms of context
Look at the picture :)
Answer:
X on the graph represents horizontal distance, the x intercept represents when he ends his dive and lands in the water. The x intercept = 8 meaning he is 8 feet away from the diving board when he lands in the water. The y-intercept of y = 13 means the starting point of his dive.
Good luck! :)
Credits: Xin for part A
You are planning a flower garden consisting of three square plots surrounded by a 1-ft border. The total area of the garden is 150 ft^2. What is the side length x of each plot
Answer:
56
Step-by-step explanation:
56 is the answer
Points g and h are located at (15,7) and (-9,7) on the coordinate plane. What is the distance between the 2 -oints
Answer:
24 unit
Step-by-step explanation:
From the question,
The 2 points is given as g (15,7) and h (-9,7)
The distance between two point is given as
d = √[(x₂-x₁)²+(y₂-y₁)²]...........................
Given: x₂ = -9, x₁ = 15, y₂ = 7, y₁ = 7
Substitute these values into equation 1
d = √[(-9-15)²+(7-7)²]
d = √[(-24)²+(0)²]
d = √576
d = 24 unit.
The volume of a Toblerone candy bar is 275 cm3. If the candy bar is 11 cm long, what is the area of the base?
Answer:
275 - 11=264
Step-by-step explanation:
Natalie lost her job through no fault of her own. She had worked there for two years and the last year she earned $27,500. She has applied for unemployment insurance. What will her weekly benefit be?
Answer:
it should be around $527
Step-by-step explanation:
Answer:
550
Step-by-step explanation:
426 per week up to 26 weeks
Two small bubbles that each have a radius of 3
centimeters collide and merge into one large bubble. The area of
the large bubble is equal to the sum of the areas of the two small
bubbles. To the nearest centimeter, what is the radius of the large
bubble?
Use 3.14 for Pi
find area of 1 small bub
πr² = 3.14 × 3²
= 28.26 cm
area of 2 small bub
28.26 × 2 = 56.52 cm
area of big bub = area of 2 small bub
= 56.52
find radius by using formula
πr² = 56.52
r² = 56.52 ÷ 3.14
r² = 18
r = √18
r = 4.24 cm
round off to nearest cm
4.24 ≈ 4 cm
what is the measure of the angle
Answer:
70
Step-by-step explanation:
all angles that are triangles= to 180 so 180-110=70
Fill in the missing value for the coordinate pair that lies on the graph of the function
y = 2^x
(5,___)
simplify 2(5+3x)+(x+10)
20+7x
just use the distributive property on 2(5+3x) then add x and 10
If one inch represents 3 units, what dimensions would you use to draw a rectangular field that is 20 units by 14 units?
Answer:
Step-by-step explanation:
If 1 inch = 3 units,
Therefore 1 unit = ⅓ inches, so to answer your question we have to
Multiply it by 20, to have :
20 units = 20× ⅓ = 20÷3
20 units = 6.66
Therefore we can use the same principle in that of 14 units.
14 units = (14 × ⅓) inches
14 units = 4.66 inches
PLEASE GIVE BRAINLIEST.
could someone pls help me with this math problem?
What is the equation of the line that passes through the point (-6,3) and has a
slope of -1/6?
Answer:
y = -1/6x + 2
Step-by-step explanation:
Put it in point-slope form:
y - 3 = -1/6(x + 6)
y -3 = -1/6x - 1
y = -1/6x + 2
Mr. Dietrch's class is 17/25 boys. What percentage of the class is boys? 
Answer:
I believe it's 44% could be wrong tho sorry-
I need help solving this worksheet for corrections, I’m stuck.
Answer:
wasting ur time like u wasted mine
Step-by-step explanation:
A cast member is selling balloons on Main Street. He has 8
princess balloons, 5 blue Mickey balloons, and 7 red Mickey
balloons. He sells one balloon, and then another (no replacing).
Find the probability of selling one blue balloon followed by
another blue balloon and show the equation used.
Answer:
4/76 or simplified as 1/19
Step-by-step explanation:
5/20 is for the probability of the first balloon
4/19 is for the probability of the second balloon
5/20 can be simplified to 1/4 so 1/4 x 4/19 = 4/76
4/76 can also be simplified to 1/19
PLEASE HELP !! DUE SOON ! :(
Answer:
-3
Step-by-step explanation:
W = -3
X = 3
Z = -9
Y = 6
-3 + 3 = 0
-9 + 6 = -3
-3 + 0 = -3
A circle with its dimensions, in centimeters (cm) is shown.
5 cm
What is the circumference, in centimeters, of the circle? Use 3.14 for. Round your answer to the nearest tenth
ANSWET FOR BRAINLIEST NOW
Step-by-step explanation:
add the radii to get the diameter then multipy by pi
10 (3.14) =31.4
Mr. and Mrs. Doran have a genetic history such that the probability that a child being born to them with a certain trait is 42%. If they have five children, what is the probability that at least two of their five children will have that trait? Round your answer to the nearest thousandth.
ANSWER IS 0.697
Answer:
answer is 0.697 !
Step-by-step explanation:
find the value of given expression
[tex] \sqrt{369 \times 369} [/tex]
Answer:
√{369×369}=√369²=369 is your answer
Answer:
your answer will be 369
Step-by-step explanation:
......
HELP PLEASE!!
If Jocelyn missed the target 5 times in 40 shots, what is the probability that her next shot will miss?
Answer:
Not 100% sure but I think that would be 12.5% hit rate. Meaning it is a 87.5% chance that she misses her next shot if her accuracy continues.
Step-by-step explanation:
Answer:
5:40 I think????????
Step-by-step explanation:
Is negative 40 greater than 12
Answer:
No, 12 is greater than -40
Step-by-step explanation:
Answer: I think your question is: Is negative forty greater than positive 12. It is not greater. Even if it was negative 40 and negative 12 it still would not be greater. Hope this helps :)
Step-by-step explanation: