Answer:
Point N(4, 1)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Coordinates (x, y)FunctionsFunction NotationTerms/CoefficientsAnything to the 0th power is 1Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex] Exponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Calculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle y = \sqrt{x - 3}[/tex]
[tex]\displaystyle y' = \frac{1}{2}[/tex]
Step 2: Differentiate
[Function] Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle y = (x - 3)^{\frac{1}{2}}[/tex]Chain Rule: [tex]\displaystyle y' = \frac{d}{dx}[(x - 3)^{\frac{1}{2}}] \cdot \frac{d}{dx}[x - 3][/tex]Basic Power Rule: [tex]\displaystyle y' = \frac{1}{2}(x - 3)^{\frac{1}{2} - 1} \cdot (1 \cdot x^{1 - 1} - 0)[/tex]Simplify: [tex]\displaystyle y' = \frac{1}{2}(x - 3)^{-\frac{1}{2}} \cdot 1[/tex]Multiply: [tex]\displaystyle y' = \frac{1}{2}(x - 3)^{-\frac{1}{2}}[/tex][Derivative] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle y' = \frac{1}{2(x - 3)^{\frac{1}{2}}}[/tex][Derivative] Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle y' = \frac{1}{2\sqrt{x - 3}}[/tex]Step 3: Solve
Find coordinates
x-coordinate
Substitute in y' [Derivative]: [tex]\displaystyle \frac{1}{2} = \frac{1}{2\sqrt{x - 3}}[/tex][Multiplication Property of Equality] Multiply 2 on both sides: [tex]\displaystyle 1 = \frac{1}{\sqrt{x - 3}}[/tex][Multiplication Property of Equality] Multiply √(x - 3) on both sides: [tex]\displaystyle \sqrt{x - 3} = 1[/tex][Equality Property] Square both sides: [tex]\displaystyle x - 3 = 1[/tex][Addition Property of Equality] Add 3 on both sides: [tex]\displaystyle x = 4[/tex]y-coordinate
Substitute in x [Function]: [tex]\displaystyle y = \sqrt{4 - 3}[/tex][√Radical] Subtract: [tex]\displaystyle y = \sqrt{1}[/tex][√Radical] Evaluate: [tex]\displaystyle y = 1[/tex]∴ Coordinates of Point N is (4, 1).
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
I need this answer quick godbless if u help
7. Rose can type 70 words per minute (wpm). At this rate, how many words can she type in 30 minutes? a. 3100 wpm b. 40 wpm c. 2100 wpm d. 280 wpm
Answer:
a. 3100 wpm
[tex]1 \: minute = 70 \: words \\ 30 \: minutes = (30 \times 70) \: words \\ = 2100 \: words[/tex]
Enter the value of 3 over 4
Answer:
1. Three fourths
2. 3/4
3. 0.75
4. 75%
Step-by-step explanation:
i dont know which one you want
Answer:
.75
Step-by-step explanation:
3 over 4 means [tex]\frac{3}{4}[/tex], and a fraction is just a division problem. 3 ÷ 4 = .75
What is the value of
NICO
?
81
16
16
81
16
81
81
16
2 1/4 divided by 3 1/2
Answer:
9/4 ÷ 7/2
9/4 × 2/7
9/14
plßssssssssssss mark me brianliest
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The equivalent expression is ~
[tex] \boxed{ \frac{9}{14} }[/tex]
[tex] \huge \boxed{ \mathfrak{Explanation}}[/tex]
[tex]2 \frac{1}{4} \div 3 \frac{1}{2} [/tex][tex] \dfrac{9}{4} \div \dfrac{7}{2} [/tex][tex] \dfrac{9}{4} \times \dfrac{2}{7} [/tex][tex] \dfrac{9}{2 \times 7} [/tex][tex] \dfrac{9}{14} [/tex]hii! please help asap. i’ll give brainliest
Answer: D
Step-by-step explanation: The amount of times a number appears is the amount of x's you put over it. D matched it.
what is 6/10 in simplist form
Answer:
3/5
Step-by-step explanation:
both 6 and 10 divide by 2. divide each number by 2 and you get 3/5
Answer:
3/5
Step-by-step explanation:
To find the simplest form of 6/10, you must reduce the fraction.
I did this by dividing both the numerator and denominator by 2, therefore making it 3/5, (because it cannot be reduced evenly anymore).
Hope this helps :)
EASY POINTS!!
The diameter of this circular cutting board is 16 inches.
What is the area of the cutting board in terms of pi?
A. 32 square inches
B. 64 square inches
C. 256 square inches
D. 16 square inches
Answer:
B. 64 square inches
Step-by-step explanation:
you just add
Answer:
Step-by-step explanation:
4
The triangular face of the given prism has an interior angle with a measure of 55° and an exterior angle with a measure of 95°. What is the measure of the marked interior angle?
Answer:
40 degrees
Step-by-step explanation:
sum of angles in a triangle = 180 degrees
if the exterior angle measures = 95, the interior angle beside it would measure 180 - 95 = 85
marked interior angle = 180 - (85 + 55) = 40 degrees
Answer:
As ewomazinoade states 40° should be the correct answer.
Can You Help Me With This Please?
Answer:
Step-by-step explanation:
Thats what i got but you still have to do the other 2 steps i am not sure how, but i hope that helps!
20 POINTS! The managers of an automotive insurance company investigated whether the customers in region A have a higher proportion of speeding tickets than the customers in region B. The managers selected 154
customers from region A at random and found that 79 have had a speeding ticket. The managers also selected 148 customers from region B and found that 67
have had a speeding ticket.
To test whether the results could be explained by random chance, the managers simulated 1,000 rerandomizations of the data and then subtracted the sample proportion of region B from the sample proportion of region A in each of the simulations. The table shows the results of the differences.
SEE PICTURES BEFORE ANSWERING
Answer:
Every year, a pet food company sells its food to stores across the nation. ... In the first month of the new year, the Midwest region secured sales orders from ... Suppose the strategy of the pet food company is to increase the proportion of ... Do you think additional field training is necessary for all of the sales representatives?
Step-by-step explanation:
Please help I give out brainliest .....Kellie bought 8 towels and spent $39.60. Each towel costs the same amount.
Part A
Use the drop-down menus to create an equation that can be used to determine t, the
price, in dollars, of 1 towel.
+
8
39.60
V
Part B
What is the price, in dollars, of 1 towel?
Enter your answer in the box.
Answer:
Each Towel is 4.95 each
Step-by-step explanation:
We can use 8t = 39.60 as our equation
8t = 39.60
Divide 8 on both sides.
t = 4.95
Hope this helps! ^^
plot the numbers -1.5,3/2,-3/2,-4/3 on the number line. label each point with its numeric value.
Answer:
so 3%5+=67K and 9+=-8 is -1
Step-by-step explanation:
What is the volume of the pyramid in the diagram?
9 cm
height = 3 cm
5 cm
S cm
OA 25 cm3
OB.
75 cm
O C.
105 cm
OD. 135 cm
E.
225 cm
Answer:
A. 25 cm^3.
Step-by-step explanation:
Volume = 1/3 * area of base * perpendicular height,
= 1/3 * 5^2 * 3
= 5^3
= 25.
The correct option is A. Volume of the pyramid is 25 cm³ which is option A.
What is the volume of the pyramid?
The volume of a pyramid is given by lbh/3. It is also given by the product of the base area and height of the pyramid and then divided by 3.
The base of the pyramid is in the form of a square as all sides are 5 cm. Find the area of the square that is the base area.
5×5=25 cm²
Now multiply 25 by the height of the pyramid which is 3 cm.
25×3=75 cm³
Divide 75 by 3 to find the volume of the pyramid.
75÷3=25 cm³
Thus, the volume of the pyramid is 25 cm³ which is option A.
Learn more about the volume of the pyramid at https://brainly.com/question/17615619
#SPJ2
Consider the triangle.
Which shows the order of the angles from smallest to
largest?
А
22
12
B
O angle A, angle B, angle C
O angle B, angle A, angle C
O angle B, angle C, angle A
O angle C, angle A, angle B
16
с
Answer:
It's the second answer down : Angle B, A and C
Step-by-step explanation:
The sequence from the smallest to the largest is angle B, angle A, angle C .
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Given AB= 22 units
BC=16 units
AC=12 units
The property of Triangle says, in a triangle, angle opposite to the greater side have greater angle.
That is angle opposite to the shorter side have shorter angle.
Therefore, we have
Therefore,
angle opposite to side AC is angle B,
angle opposite to side BC is angle A,
angle opposite to side AB is angle C,
Therefore, the sequence from the smallest to the largest is angle B, angle A, angle C .
To learn more on Triangles click:
https://brainly.com/question/2773823
#SPJ7
Inscribed angles math lib
Need help with number 2 , 3 , and 4 thank you!!!
Answer:
See solutions below
Step-by-step explanation:
2) angle at the vertex is half that of its intercepted arc;
51 = 1/2(14x-38)
51*2 = 14x-38
102 = 14x-38
14x = 102 + 38
14x = 140
x = 140/10
x = 14
3) 9x+7 = 1/2(68)
9x + 7 = 34
9x = 34-7
9x = 27
x = 27/9
x = 3
4) 114 = 1/2(30-(8x-36+40))
114 = 1/2(360-8x+36-40)
114*2 = 356 - 8x
-8x = 228-356
-8x = -128
x = 128/8
x = 16
Answer:2
Step-by-step explanation:
51+14x-38=180
13+14x=180
14=167
X=12
PLEASE HELP ME ON THIS QUESTION I DONT GET IT
Tim's credit card has a restriction that he must pay either 15 percent of the unpaid balance or $25, whichever is greater
Which will he pay if he has an unpaid balance of $216?
A) $25
B) 15%
Answer:
He has to pay 15% as that is 32 and more than $25
Step-by-step explanation:
If you take 15% out of 216 it will become 32.
HELP I NEED HELP QUICKLY PLEASEEEE
Please help me answer this i’m being timed, tysm ur the best!:)
Answer:
See below.
Step-by-step explanation:
X-intercepts: (-1, 0) & (5, 0)
Y-intercept: (0, -5)
Vertex: (2, -9)
Axis of Symmetry: x = 2
i honestly don’t understand this ::))
Answer:
Answer is 100 sq m
Step-by-step explanation:
A = [tex]a^{2}[/tex]
A = [tex]10^{2}[/tex]
A = 100 sq m
HOPE IT HELPS
(FROM CROSS)
Iliana was part of a group that was working on changing 0.ModifyingAbove 4 with bar to a fraction. Each member of the group had a different answer. Which answer is correct?
Answer:
4 /9
Step-by-step explanation:
All we have to do is evaluate the options in other to compare the result :
4 / 10 = 0.4
4 / 9 = 0.4444444...
9/ 4 = 2.25
What is the correct algebraic representation of the transformation displayed on the graph?
A- (y,-x)
B- (-y,x)
C- (-x,y)
D- (-x,-y)
Answer:
[tex]transformation: (y,-x)[/tex]
----------------------------
hope it helps...
have a great day!!
HELP ME I BEGGGG THANK U PLEASE ITS DUE
Answer:
y=6x+24
Step-by-step explanation:
Please do all four, thanks :)
I'm feeling generous today *40 points*
Step-by-step explanation:
A. x^2-9x+18
B. x^2-8x+16
C. 2x^2-5x-12
D. 12x^2-31x+7
Find two numbers that round to 387.4 when rounded to the nearest tenth. Drag the numbers to the box.
Answer:
hi
Step-by-step explanation:
omhg hi
Find the volume of the rectangular pyramid
Thank you!!
Answer:
72
Step-by-step explanation:
What is the midpoint of (6,3) and (-3,-7)
Answer:
(Xm, Ym) = [ x1+x2/2, y1 + y2/2]
Given (6,3) (-3,-7)
x1 y1 x2 y2
Step-by-step explanation:
(Xm,Ym) =[ 6-3/2, 3-7/4]
= [ 3/2, -1]
4
How would you tell someone to plot (4,-3)?
pick the two best answers
1
go right 4
go left 4
go up 3
go down 3
What I pic
Step-by-step explanation:
go right 4
go down 3
it is the answer
A triangle has sides with length of 11 feet 12 feet and 13 feet. Is it a right triangle
Answer:
No
Step-by-step explanation:
It will be a right triangle if it follows Pyhthagoras Theorem . Where the sum of squares of two smaller sides is equal to the square of the 3rd side. Let's check ,
→ 11²+ 12² = 13²
→ 121 + 144 = 169
→ 265 ≠ 169
Hence the ∆ is not a right angled triangle