Answer:
Point A(9, 3)
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) Functions Function Notation Terms/Coefficients Anything 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
Identify
[tex]\displaystyle y = \sqrt{x}[/tex]
[tex]\displaystyle y' = \frac{1}{6}[/tex]
Step 2: Differentiate
[Function] Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle y = x^{\frac{1}{2}}[/tex]Basic Power Rule: [tex]\displaystyle y' = \frac{1}{2}x^{\frac{1}{2} - 1}[/tex]Simplify: [tex]\displaystyle y' = \frac{1}{2}x^{-\frac{1}{2}}[/tex][Derivative] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle y' = \frac{1}{2x^{\frac{1}{2}}}[/tex][Derivative] Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle y' = \frac{1}{2\sqrt{x}}[/tex]Step 3: Solve
Find coordinates of A.
x-coordinate
Substitute in y' [Derivative]: [tex]\displaystyle \frac{1}{6} = \frac{1}{2\sqrt{x}}[/tex][Multiplication Property of Equality] Multiply 2 on both sides: [tex]\displaystyle \frac{1}{3} = \frac{1}{\sqrt{x}}[/tex][Multiplication Property of Equality] Cross-multiply: [tex]\displaystyle \sqrt{x} = 3[/tex][Equality Property] Square both sides: [tex]\displaystyle x = 9[/tex]y-coordinate
Substitute in x [Function]: [tex]\displaystyle y = \sqrt{9}[/tex][√Radical] Evaluate: [tex]\displaystyle y = 3[/tex]∴ Coordinates of A is (9, 3).
Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
Loagn used the net below to design a nylon tent
Answer:
Part A: The tent is shaped like a square pyramid
Part B: a 36ft tent
Step-by-step explanation:
Answer:
Step-by-step explanation:
i don’t know
What is the percent for 82?
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Arun sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below. 128 visitors purchased no costume. 3 visitors purchased exactly one costume. 5 visitors purchased more than one costume. Based on these results, express the probability that the next person will purchase exactly one costume as a fraction in simplest form.
Answer:
3/136
Step-by-step explanation:
128 + 3 + 5 = 136
= 3/136 (simplest form)
Um..Please help me with this...
Answer:
2,1 4,2 6,3 8,4 10,5 12,6 14,7 16,8 18,9 20,10 etc.
Step-by-step explanation:
what's equivalent to (9 7/8 + 2 4/5) - 1/2
Answer:
12.175
Step-by-step explanation:
also
Step-by-step explanation:
C) 9 7/8 - (- 2 4/5) - (- 1/2) =
= 9 7/8 + 2 4/5 + 1/2 (F)
D) - (- 9 7/8 + 2 4/5) - 1/2) =
= 9 7/8 - 2 4/5 - 1/2 (F)
E) 9 7/8 - (- 2 4/5 - 1/2) =
= - 7/8 + 2 4/5 + 1/2 (F)
Answer:
12 7/40
Step-by-step explanation:
9 7/8 = 9 35/40
2 4/5 = 2 32/40
add: 11 67/40
67/40 = 1 27/40
11 + 1 27/40 = 12 27/40
12 27/40 - 20/40 = 12 7/40
Expand and simplify (x – 2)(2x + 3)(x + 1)
Answer:
Step-by-step explanation:
(x-2)(2x+3)(x+1)
=x(2x+3)-2(2x+3)(x+1)
=(2x^2+3x-4x-6)(x-1)
=(2x^2-x-6)(x-1)
=2x^2(x-1)-x(x-1)-6(x-1)
=2x^3-2x^2-x^2+x-6x+6
=2x^3-3x^2-5x+6
( x - 2 )( x + 1 )( 2x + 3 ) =
( x^2 - x - 2 )( 2x + 3 ) =
2x^3 - 2x^2 - 4x + 3x^2 - 3x - 6 =
2x^3 + ( -2 + 3 )x^2 + ( - 4 - 3 )x - 6 =
2x^3 + x^2 - 7x - 6
A freezer was set at 0 C, sophia reset it to 8.5 C. Would the temperature in the freezer likey rise or drop? By how many degrees?
Answer:
Step-by-step explanation:
1) the temperature rise, because 8.5 is C higher than 0 C
2) 8.5 - 0 = 8.5
So it rised by 8.5 degrees ( to know how many dgrees is is rised subtract the second number from the first number)
make sure answer is in degrees.
sin^-1(sin 17°)
Answer:
uhm 0 degrees
Step-by-step explanation:
The value of the inverse trigonometric expression sin⁻¹(sin 17°) will be 17°.
What is inverse trigonometry?Simply put, inverse trigonometric operations are the opposites of the fundamental trigonometric parameters sine, cosine, secant, cosecant, tangent, and cotangent.
The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The inverse trigonometric expression is given below.
⇒ sin⁻¹(sin 17°)
We know that the value of sin⁻¹(sin θ) is θ.
Then the value of the inverse trigonometric expression will be
⇒ sin⁻¹(sin 17°)
⇒ 17°
Thus, the value of the inverse trigonometric expression sin⁻¹(sin 17°) will be 17°.
More about the inverse trigonometry link is given below.
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someone help me please i need this by today
Answer:
In the picture above
Step-by-step explanation:
I solved all questions except no.7 ; I don't know how can be solved.
I hope that its a clear solution. Goodluck
What is the measure of XZ?
A. 36°
B. 144°
C. 72°
D. 18°
Answer:
C.72
Step-by-step explanation:
angle XYZ is an inscribed angle and arc XZ is the arc it intercepts
If you didn't know the measure of an inscribed angle is equal to half the measure of its arc it intercepts or an intercepted arc equals twice the measure of its inscribed angle
Hence, angle XYZ * 2= arc XZ
If Angle XYZ = 36
then 36 * 2 = arc XZ
36 * 2 = 72
hence the answer is C
The measure of arc is 72 degree, the correct option is C.
What is an arc?An arc is formed by two radii and their intercepted part on the circumference.
According to the theorem of arc and subtended angles, the central angle subtended by the arc is double the angle subtended by it on the circumference.
The angle subtended by arc XZ on the circumference is 36 degree.
The angle subtended by the arc at the center is = 2 * 36 = 72 degree.
The arc subtended by the arc at the center of the circle is the measure of the arc.
To know more about Arc
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PLZZZZZZZZZZZZ
She had a coupon for 15% off. The tax rate was 7.75%. If the subtotal was $35, how much money did Ms. Morel actually pay in total (after the discount and tax)? *
Answer:32.05
Step-by-step explanation:
SO after tax the total would be $37.71.With original price $37.71 and 15% discount,
Price after discount: $32.05
You saved: $5.66
Can anyone help me with this problem
Answer:3^2
Step-by-step explanation:
I think it is 3 with exponent of 3 because if its asking for side length of 9 then 3 x 3=9
Determine whether the triangle with the given side lengths is acute,
right, obtuse or not a triangle 3,8,15
Answer:
Step-by-step explanation:
Not a triangle, because the leg lengths 8 and 3 add up to 11, not to 15.
The sum of the leg lengths must be greater than the length of the 3rd side for a triangle to exist.
I need answer Immediately pls!!!!!!!!
Step-by-step explanation:
write what you know
the flat fee doesnt chamge no matter how much he uses his data
the charge for every gigabyte does change
Ex: if he uses 3 gigabytes of data in one month, that's
5 + 5 + 5 = $5 x 3 = $15
So taking this into consideration youd write the following
$41.50 + $5x = $52.50 (since this is what we want to equal)
then solve for x
Please answer this for me correctly. THANK YOU!!
Answer:
The answer is <MQL.
iq scores are normally distributed with a mean of 100 and a standard deviation of 15. What percentage of people have an IQ between 130 and 100 a)13.5% b)47.5% c)95% d)27%
Answer:
"approximately 47.%"
Step-by-step explanation:
Using the statistical function normalcdf( on my old TI-38 calculator:
normalcdf(100,130, 100, 15) returns the fraction 0.477,
so the final answer here is "approximately 47.%"
quick please
7.find the area of the shaded region of the rectangle:
Answer:
6x+2
-2x+1
=
4x+1
just find the area of each and subtract the non-shaded one from the shades area.
In a Triangle,2angles are 56°and 45°,then find the third angle
Answer:e answer is 79
Step-by-step explanation:
to find the third angle subtract the angles from
180
=56°+45°
=99
third angle=180°-99°
=81°
HOW TO DO THIS QUESTION PLEASE
Answer:
34
Step-by-step explanation:
[tex]\frac{2}{5}*85[/tex]
Long way
multiply the two numeratorsmultiply the two denominatorssimplify the new fractions[tex]\frac{85}{1}*\frac{2}{5} \\ \\ \frac{170}{5} \\ \\ =34[/tex]
short way
-can be simplified before mulitplying
factor out common factors in the numerator and denominator[tex]\frac{85}{1} *\frac{2}{5} \\ \\ \frac{17}{1}*\frac{2}{1} =34[/tex]
Think 85 and 5 as nickels. You need 20 nickels to make 100. Subtract 100 by 85 to get 15. You get 3 nickels and 17 nickels. 17 is the common factor. Multiply 17 by 2 to get your answer.
The solution of the quadratic equation 3x^2=4x is written by a student as the following: According to you, is this students solution correct or not? Explain your answer with reasons?
Solution:
Step 1:3x2 = 4x
Step 2: 3xx = 4x
Step 3:3x = 4
Step 4: x = 4/3
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
x=34
Step-by-step explanation:
Again we are given an angle's ( x to be more specific ) opposite side length and the adjacent side length so we will use trig ratio tangent
Recall that tan = opposite over hypotenuse
[tex]tan(x)=\frac{29}{43}[/tex]
* multiply each side by the inverse of tan ( [tex](tan)^-^1[/tex] )
[tex]tan(x)*tan^-^1=x\\tan^-1*\frac{29}{43} =33.99645915\\x=33.99645915[/tex]
Finally we round to the nearest tenth of a degree and get that x = 34
what is the area of the triangle.
Answer:
A=hbb= 2
Step-by-step explanation:
your welcome plz brainlist
Answer:
21.75u2
Step-by-step explanation:
first use pythag for this
use rule c2=b2+a2
reverse the rule so that
b2=c2-a2
b2=100-81
b2=19
b=4.35
how u got the height of the triangle
use formula bh/2
10x4.35/2
=43.5/2
=21.75u2
The length of a rectangle flower bed is 5ft longer than its width. A sidewalk with a width of 3ft surrounds the bed. If the total area of the bed and sidewalk is 546ft^2, what are the dimensions of the flower bed ?
Answer:
[tex]W=15ft[/tex]
[tex]L=20ft[/tex]
Step-by-step explanation:
From the question we are told that:
Length of Bed [tex]L=5+W[/tex]
Width of sidewalk [tex]W_s=3ft[/tex]
Area of the bed and sidewalk [tex]A_t= 546ft^2[/tex]
Generally the equation for Area of the bed and sidewalk[tex]A_t[/tex] is mathematically given by
[tex]Area=L*B[/tex]
[tex]A_t=((3+3)+L)*((3+3)+W)[/tex]
Therefore
[tex]546=((3+3)+(5+W))*((3+3)+W)[/tex]
[tex]0=((6+(5+W))*((6)+W)-546[/tex]
[tex](11+W)*(6+W)-546=0[/tex]
[tex]W^2+17B-480=0[/tex]
Solving the Quadratic Equation
[tex]W=15ft[/tex] (Using only positive root)
Generally the Length L is mathematically given by
[tex]L=5+15[/tex]
[tex]L=20ft[/tex]
The Spanish Club has 40 members, 5 girls and 35 boys. What is the ratio of
girls to boys in the Spanish Club?
O A. 1:4
B. 1:7
C. 7:1
Answer:
B. 1:7
Please give me brainliest, thank you!
Step-by-step explanation:
Information given and needed:
- 40 members
- 5 girls
- 35 boys
Solve:
girls to boys
5 to 35
(You can now simplify)
1 to 7
Answer:
B. 1:7
Answer:
1:4
Step-by-step explanation:
Which is the answer ? Please help
Answer:
C
Step-by-step explanation:
1/2 is equal to 2/4 so 1/2 is greater than 1/4
Answer:
C
Step-by-step explanation:
A)
[tex]\frac{1}{2} = \frac{4}{8}[/tex]
[tex]\frac{4}{8} < \frac{1}{8}\ is\ wrong!\ Therefore\ A\ is\ wrong[/tex]
B)
[tex]\frac{2}{1} = \frac{4}{2}[/tex]
[tex]\frac{1}{2} = \frac{4}{2}\ is\ wrong!\ Therefore\ B\ is\ wrong[/tex]
C)
[tex]\frac{1}{2} = \frac{2}{4}[/tex]
[tex]\frac{2}{4} > \frac{1}{4}\ is\ correct!\ Therefore\ C\ is\ correct[/tex]
D)
[tex]\frac{1}{2} = \frac{2}{6}[/tex]
[tex]\frac{2}{6} < \frac{1}{6}\ is\ wrong!\ Therefore\ D\ is\ wrong[/tex]
Find the distance between (-7, -2) and (13, -23)
Answer:
5,030?
Step-by-step explanation:
A.)17.5
B.)20
C.)18
D.)17
Answer: A
Step-by-step explanation: 35 / 2 = 17.5
Answer:
C. is correct
Step-by-step explanation:
i hope this helps :) brainliest please?
As you can tell I’m back to help my idiotic Brother just do the first 3 ty
1:plus 4 2: times 2 3:minus 10
3. Graph the following exponential function and
label the asymptote. (9 pts)
y = - 3(2)
(x, y)
-2
-1
X
Х
2012
Answer:
y=3(2)
(x:y)
-3-2÷(-2-(-1)
=-5÷2
A small town has two local high schools. High School A currently has 750 students and is projected to grow by 45 students each year. High School B currently has 850 students and is projected to grow by 25 students each year. Let A represent the number of students in High School A int years, and let B represent the number of students in High School B after t years. Write an equation for each situation, in terms of t, and determine after how many years, t, the number of students in both high schools would be the same.
Answer: A=750 +75*t
B=900 +25*t
There would be 975 students in each high school in year 3 when they are expected to have the same number of students.
Step-by-step explanation:
A = B
750 +75*t=900 + 25*t
Solving:
75*t -25*t= 900 - 750
50*t= 150
t=3
This indicates that in year 3 both High Schools are projected to have the same number of students. To get that amount, you simply replace this value in the expressions:
A=750 +75*t= 750 +75*3= 975
B=900 + 25*t=900 + 25*3= 975
There would be 975 students in each high school in year 3 when they are expected to have the same number of students.