Answers
Answer:
(B) 15
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationCalculus
Derivatives
Derivative Notation
Derivative 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
h(x) = f(g(x))
h'(1) = ?
Step 2: Differentiate
Chain Rule: h'(x) = f'(g(x)) · g'(x)Step 3: Evaluate
Substitute in x [Derivative]: h'(1) = f'(g(1)) · g'(1)[Values] Substitute in function values: h'(1) = f'(3) · -3[Values] Substitute in derivative function values: h'(1) = -5 · -3Multiply: h'(1) = 15Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
Related Questions
PLEASE HURRY! i’ll give brainliest
Answers
The answer is boxplot
which equation can be used to solve for x in the following diagram ?
Answers
5x=90-35
x=55/5
x=11
Hope this helped
simplify -5 1/4 - (-7 1/2) please
also ignore my tabs pls
Answers
Answer: 1/8
Step-by-step explanation:
1/2 x 1/4 = 1 x 1/2 x 4
Triangle PQR is similar to triangle DEF as shown.*
A.
B.
D.
C.
Answers
A quilt is made of 15 red squares and 35 blue squares. Find the ratio, in lowest terms of:
Someone help pls :D
Answers
The ratio of red squares to blue squares is 3 : 7
The ratio of blue squares to total squares is 7 : 10
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the proportion be represented as A
The number of red squares = 15
The number of blue squares = 35
Now , the total number of squares is N = 50 squares
a)
The ratio of red squares to blue squares is = number of red squares / number of blue squares
The ratio of red squares to blue squares is = 15 / 35
The ratio of red squares to blue squares is = 3 : 7
b)
The ratio of blue squares to total squares is = number of blue squares / total number of squares
The ratio of blue squares to total squares is = 7 : 10
Hence , the proportion is solved
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The complete question is :
A quilt is made of 15 red squares and 35 blue squares. Find the ratio, in lowest terms of:
a) The ratio of red squares to blue squares
b) The ratio of blue squares to total squares
(4x2 - X - 5) + (6x2 + x)
Answers
Answer:
10x2 - 5 (the 2 has to be small too.)
Is 8 a solution to 48 < 4x?
plz need answers quickly
Answers
Answer:
No
Step-by-step explanation:
We need to tell that whether 8 satisfies the given inequality. The inequality is ,
[tex]:\implies[/tex] 48 < 4x
now substitute x 12 is equal to 8 and check whether if it satisfies the given inequality.Putting x = 8
[tex]:\implies[/tex] 48 < 4x
[tex]:\implies[/tex] 48 < 4 * 8
[tex]:\implies[/tex] 48 < 32
this is not possible as 48 is greater than 32. x is equal to 8 is not a solution of the given inequality .No it is not a solution .[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{48 < 4x}[/tex]
[tex]\large\textsf{TURN the given EQUATION}[/tex]
[tex]\mathsf{4x > 48}[/tex]
[tex]\large\textsf{DIVIDE 4 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{4x}{4}>\dfrac{48}{4}}[/tex]
[tex]\large\textsf{CANCEL out: }\mathsf{\dfrac{4}{4}}\large\textsf{ because that gives you 1}[/tex]
[tex]\large\textsf{KEEP: }\mathsf{\dfrac{48}{4}}\large\textsf{ because it helps us compare to the x value.}[/tex]
[tex]\mathsf{x >\dfrac{48}{4}}[/tex]
[tex]\mathsf{\dfrac{48}{4}}\\\\\mathsf{= 48\div4}\\\\\mathsf{\boxed{\bf = 12}}[/tex]
[tex]\boxed{\mathsf{x > 12}}[/tex]
[tex]\boxed{\boxed{\large\text{Answer: \bf NO, because }\mathsf{\bf x < 12}\large\text{ \bf \& it is an O.P.E.N. circle shaded}}}\\\boxed{\boxed{\large\text{\bf the right}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Find the measure of angle 1
HELP
Answers
Answer:
75°
Step-by-step explanation:
The chord- chord angle is half the sum of of the arcs intercepted by the angle and its vertical angle, then
∠ 1 = [tex]\frac{1}{2}[/tex] (110 + 40)° = 0.5 × 150° = 75°
The curve
[tex]y = \sqrt{x - 3} [/tex]
has a tangent with gradient
[tex] \frac{1}{2} [/tex]
at point N.
Find the coordinates of N.
Answers
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
A spaceship traveled 81 billion miles. In scientific notation that is _____ miles.
8.1 × 10 10
8.1 × 10 -9
8.1 × 10 9
8.1 × 10 -10
plz help it's being timed
Answers
Answer:
A (8.1 x 10^10)
Step-by-step explanation:
1. 1 billion is 1,000,000,000 or 10^9
2. 81 Billion should be 81 x 10^9, but the correct notation should always show a single digit number, so you need to also divide 81 per 10
3. Thus, the answer is 8.1 x 10^10
Answer:
8.1 × 10^10
:)
I need with the volume!!!
Answers
Answer:
Tim read 81 pages.
Step-by-step explanation:
If he read 3 pages on Monday and tripled the amount of pages he red based of off the amount of pages he read the previous day, he would have read 3 pages on Monday, 9 pages on Tuesday, 27 pages on Wednesday, and 81 pages on Thursday.
Monday: 3
Tuesday: 3 x 3 = 9
Wednesday: 9 x 3 = 27
Thursday: 27 x 3 = 81
I hope this helps you! :D
Type the missing number that makes these fractions equal: 4/?=8/14
Answers
Answer:
4/7 = 8/14
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
[tex]\frac{4}{x} =\frac{8}{14} \\[/tex]
cross multiply
8x = 14 x 4
8x = 56
x = 7
A rectangular prisim has a base with an area of 200cm squared. The volume of the prism is 3,000cm cubed. What is the height of the prism?
Answers
Answer:
[tex]Height = 15cm[/tex]
Step-by-step explanation:
Given
[tex]Base\ Area = 200cm^2[/tex]
[tex]Volume = 3000cm^3[/tex]
Required
The height
Volume is calculated as:
[tex]Volume = Base\ Area * Height[/tex]
Make Height the subject
[tex]Height = \frac{Volume}{Base\ Area}[/tex]
This gives
[tex]Height = \frac{3000cm^3}{200cm^2}[/tex]
[tex]Height = \frac{3000}{200}cm[/tex]
[tex]Height = 15cm[/tex]
what does 5 out of 7 equal to??
Answers
Answer:
5 out of seven is 71%
THank Go oGle
write the equation of the circle in standard form: Center (7,0) R=1
Answers
Answer:
[tex](x-7)^2+y^2=1[/tex]
Step-by-step explanation:
Hi there!
Equation of a circle: [tex](x-h)^2+(y-k)^2=r^2[/tex] where the circle is centered at (h,k) and the radius is r
1) Plug in the given center (7,0)
[tex](x-7)^2+(y-0)^2=r^2\\(x-7)^2+y^2=r^2[/tex]
2) Plug in the radius (1)
[tex](x-7)^2+y^2=1^2\\(x-7)^2+y^2=1[/tex]
I hope this helps!
HELP ME IM STUCK PLEASE QUICK
Answers
Answer:
C) 24>x
Step-by-step explanation:
The inequality is just turned around. 24>x is thw same thing as x<24.
Hope this helped :)
Answer:
D
Step-by-step explanation:
x+3≥12
<=> x≥8
so 8 is less than x
x is less than 24 means 24>8 but in this case we must follow a model so x is less than 24 can be write 24≥x (read x is less than 24 or is equal to 24)
Jamal's friends toss 12 balls to him at the same time. Three balls are red, 3 are green, 3 are blue, and 3 are white. Jamal manages to catch 5 of the balls.
What is the probability that he catches 2 red balls and 1 ball of each of the other colors?
Answers
Answer:
81/792 or 9/88 or 10.2%
Step-by-step explanation:
Possibility: nCr(12,5) = 792
Red: nCr(3,2) = 3
Blue, Green, White: nCr(3,1) = 3
3 * 3 * 3 * 3 = 81
81/792 simplified is 9/88 percentage is 10.22%
The probability that Jamal will catch 2 red balls and 1 ball of each of the other colors is 0.1025.
What is probability?Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.
The probability of any event always lies in the close interval of 0 and 1 [0,1].
The zero value of probability indicates that the event will not happen while its value equal to one indicate that it will happen.
The total numbers of balls are 12.
Each color has 3 balls.
If total 12 balls are tossed, the number of ways of catching 5 of them is,
¹²C₅ = 792
The number of ways of catching 2 red balls out of 3 is ³C₂ = 3
The number of ways of catching 1 green ball out of 3 is ³C₁ = 3
The number of ways of catching 1 blue ball out of 3 is ³C₁ = 3
The number of ways of catching 1 white ball out of 3 is ³C₁ = 3
Thus, the probability as per the question is given as follows,
(3 × 3 × 3 × 3)/792
= 81/792
= 0.1025
Hence, the probability of catching 2 red balls and 1 ball of each of the other colors is 0.1025.
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I need helpp! I needdd help
Answers
Ms. Benton drew a right angle and split it into 2 angles. one of the labels inside was labeled 5x and the other angle was labeled 4x. what does x equal?
Answer choices:
5°
10°
15°
20°
please help
Answers
Answer:
B-10⁰
Step-by-step explanation:
5 x 10 is 50, 4 x 10 is 40, add those and you get 90⁰
A rectangular red sticker has a perimeter of 26 millimeters and an area of 30 square millimeters. What are the dimensions of the sticker? (blank) millimeters by (blank) millimeters
Answers
Answer:
3 millimeters by 10 millimeters
Step-by-step explanation:
it takes luis 4.5 minutes to read 3 pages. how long will it take him to read 32 pages?
Answers
Answer:
48 minutes
Step-by-step explanation:
4.5/3 = 1.5
1.5 x 32 = 48
A hiking trail is 2 3/5 miles long. Lucy walks 1/2 of the trail before stopping for a water break. How many miles does Lucy walk before stopping?
Answers
Answer:
look at the picture I have sent
Answer:
1.3
Step-by-step explanation:
First you simplify 2 3/5, which can be 2.6. You will find half of it so 2.6 divided by 2 equals 1.3. She traveled 1.3 miles or 1 3/10 miles before she stopped.
!!!!NEED HELP ASAP!!!! NO LINKS OR REPORT
Answers
Answer:
x = -11 5/17
Step-by-step explanation:
3x + 2y = 12
2x - 3y = -57
5x + y = -45
y = -5x - 45
2x - 3 (-5x - 45) = -57
2x + 15x + 135 = -57
17x + 135 = -57
17x = -192
x = -11 5/17
Which triangle makes this statement true?
Answers
Answer:
A.
Step-by-step explanation:
i pretty sure
I will give brainiest
Answers
Answer:
there should be 4 points below the trend line
Step-by-step explanation:
4
Joseph runs 2 miles on Monday. Each day after that, he runs the same 1 1/3 mile route every
morning. His goal is to run at least 6 miles by the end of the week.
Which inequality represents the least number of days after Monday that Joseph needs to run
to reach his goal? *
Answers
Answer:
2 + 1 1/3x ≥ 6
x ≥ 3 days
Step-by-step explanation:
Monday = 2 miles
Other days = 1 1/3 miles
x = least number of days after Monday that Joseph needs to run
to reach his goal
Total miles = 6 miles
The inequality is
2 + 1 1/3x ≥ 6
1 1/3x ≥ 6 - 2
1 1/3x ≥ 4
4/3x ≥ 4
Divide both sides by 4/3
4/3x ÷ 4/3 ≥ 4 ÷ 4/3
x ≥ 4 × 3/4
x ≥ 3 days
I will give brainiest
Answers
Answer:
2
Step-by-step explanation:
Step by step explanation:
Whats 100,000,000 Divided by 100,000?
Im curious and i dont have the time to solve
Answers
Answer:
1000
Step-by-step explanation:
Answer:
1000
Step-by-step explanation:
your welcomeeeeeee
What is an equation of the line that passes through the point (6,-2)) and is parallel to the line 5x+3y=6
Answers
Answer:
[tex]hope it help you\left \{ {{y=2} \atop {x=2}} \right.[/tex]
Step-by-step explanation:
is -7 less the -8
is -8 less then or equal to -8
Answers
Here’s the answer
-7>-8
-8=-8