I need this please help me
Answer:
s' = (3,2) t' = (2,4) u' = (1,1)
Step-by-step explanation:
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It takes 3 hour 15 minutes to fly from city a to city b at constant speed. Find how long the journey takes if
A) the speed is 1×1÷2 times of the original speed and
B) if the speed is three-quarters of the original speed.
Answer:
a) t= 2hours and 10 minutes
b) t=4hours and 20 minutes
v1t1=v2t2
Answer:
Step-by-step explanation:
rate = distance / time distance is constant (a-b) so call it D
time = distance / rate rate = speed (ie miles per hour = mph)
time = distance / speed
A) if the new speed is 1.5 of the original speed
original time = 3.25 hours or 195 minutes
3.25 = D / 1 new time = D/1.5 find new time
3.25 is to D as new time is to D/1.5
3.25/D = new time / D/1.5 multiple D/1.5 on both sides
(3.25/D) ( D/1.5) = new time the distance D cancels
3.25 (D / D) / 1.5 = new time
3.25 / 1.5 = 2.167 hours or 2 hours and 10 minutes
B) if the speed is 3/4 the original speed
original time = 3.25 hours or 195 minutes
3.25 = D / 1 new time = D/(3/4) find new time
3.25 is to D as new time is to D/0.75
3.25/D = new time / D/0.75 multiple D/0.75 on both sides
(3.25/D) ( D/0.75) = new time
3.25 (D / D) / 0.75 = new time
3.25 / 0.75 = 4.333 hours or 4 hours and 20 minutes
What is the slope of the line tangent to the curve square root (x) +square root (y) = 2 at the point ( 9/4, 1/4 )? (photo attached of answer choices)
Answer:
B. [tex]\displaystyle -\frac{1}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Terms/CoefficientsExponential 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
The definition of a derivative is the slope of the tangent line
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Implicit Differentiation
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \sqrt{x} + \sqrt{y} = 2[/tex]
[tex]\displaystyle (\frac{9}{4}, \frac{1}{4})[/tex]
Step 2: Differentiate
Implicit Differentiation
[Function] Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle x^{\frac{1}{2}} + y^{\frac{1}{2}} = 2[/tex][Function] Basic Power Rule: [tex]\displaystyle \frac{1}{2}x^{\frac{1}{2} - 1} + \frac{1}{2}y^{\frac{1}{2} - 1}\frac{dy}{dx} = 0[/tex][Derivative] Simplify: [tex]\displaystyle \frac{1}{2}x^{\frac{-1}{2}} + \frac{1}{2}y^{\frac{-1}{2}}\frac{dy}{dx} = 0[/tex][Derivative] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle \frac{1}{2x^{\frac{1}{2}}} + \frac{1}{2y^{\frac{1}{2}}}\frac{dy}{dx} = 0[/tex][Derivative] Isolate [tex]\displaystyle \frac{dy}{dx}[/tex] term [Subtraction Property of Equality]: [tex]\displaystyle \frac{1}{2y^{\frac{1}{2}}}\frac{dy}{dx} = -\frac{1}{2x^{\frac{1}{2}}}[/tex][Derivative] Isolate [tex]\displaystyle \frac{dy}{dx}[/tex] [Multiplication Property of Equality]: [tex]\displaystyle \frac{dy}{dx} = -\frac{2y^{\frac{1}{2}}}{2x^{\frac{1}{2}}}[/tex][Derivative] Simplify: [tex]\displaystyle \frac{dy}{dx} = -\frac{y^{\frac{1}{2}}}{x^{\frac{1}{2}}}[/tex]Step 3: Evaluate
Find slope of tangent line
Substitute in point [Derivative]: [tex]\displaystyle \frac{dy}{dx} \bigg| \limit_{(\frac{9}{4}, \frac{1}{4})} = -\frac{(\frac{1}{4})^{\frac{1}{2}}}{(\frac{9}{4})^{\frac{1}{2}}}[/tex][Slope] Exponents: [tex]\displaystyle \frac{dy}{dx} \bigg| \limit_{(\frac{9}{4}, \frac{1}{4})} = -\frac{\frac{1}{2}}{\frac{3}{2}}[/tex][Slope] Simplify: [tex]\displaystyle \frac{dy}{dx} \bigg| \limit_{(\frac{9}{4}, \frac{1}{4})} = -\frac{1}{3}[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Differentiation - Implicit Differentiation
Book: College Calculus 10e
What is the slope of the line?
Answer:
1
Step-by-step explanation:
What is the answer to this question
Mr. Antle is trying to find the median temperature of Portland. If the Histogram is the only information he is given, which range of temperatures most accurately the median temperature?
A. 4-7
B. 7-9
C. 10-12
D. 1-3
Eeéeeeeeeeeeé KCc heck is eh KCc we if wd if weed
What is the value of b in ax - by = -5
A. b= (ax-5)/y
B. b= 5-ax
C. b= ax-5y
D. Cant isolate b
Answer:
D,
Step-by-step explanation:
the is the value of b in ax -by =-5
D , cant isolate b
Allison and Sean were splitting nachos. If Allison ate 5/12 of the nachos and Sean ate 1/5 of the nachos, what fraction of the nachos did they eat together?
Answer:
thank for points
Step-by-step explanation:
Answer:
37/60
Step-by-step explanation:
Because 5/12+1/5=37/60
16. Under the Christmas tree at my house, there are five presents for my wife, three presents for me, and 8
presents for my son. (Hint: How many packages are under the tree in total?)
a) What percentage of the presents are for my wife?
b) What percent of the presents are for my son?
c) What percent of the presents are for me?
Answer:
a) 31.25%
b) 50%
c) 18.75%
Rosa wants to buy a new TV priced at 499.99 The TV is on sale for 15% off but the cashier informs her that if she applies for a store credit card she can have an additional 10% off. How much will Rosa pay after the discounts and 6% tax have been applied? Write and solve an equation to find the final price.
PLEASE ANSWER AS SOON AS POSSIBLE
Answer:
$405,44
Step-by-step explanation:
First of all we have to find how much the tv cost after 15% of discount.
we can use this proportion
15 : 100 = x : 499.99
x = (15*499.99)/100 = $74.9985
then we have to subtract the initial value to the value of the discount
499.99-74.9985 = $424,9915
thanks to the card we can apply another 10%
10 : 100 = x : 424,9915
x = (424,9915 *10)/100 = $42,49915
424,9915-42,49915 = $382,49235
now we have to apply taxes
6:100 = x : 382,49235
x = $22,949541
382,49235 + 22,949541 = $405,441891
that can be rewrite as $405,44
If we want to write an equation to solve this problem we can use this
499.99 - (499.99 * 15/100) - 1/10[499.99-(499.99*15/100)] + 6/100{1/10[499.99-(499.99*15/100) = x
Matthew rakes leaves to earn money. The points in this graph represent the total amount of money Matthew earns based on the number of hours he rakes leaves. Matthew wants to purchase sneakers that costs $48. How many hours does Matthew need to rake leaves to earn enough money to buy the sneakers?\
Answer:
it will take him 6 hours to earn enough money to buy the sneakers
Step-by-step explanation:
I took the test
Answer:
The answer should be 6
Step-by-step explanation:
I took the test too
PLEASE ANSWER ASAP !!! 90 POINTS AND BRAINLIEST!!!!!!!
( -5) + (+8) =
(+5) + (+4) =
( -3) + (+1) =
( -8) + ( -7) =
( -6) + (+3) =
Answer:
-5+8=-3
5+4=9
-3+1=-2
-8+-7=-15
-6+3=-3
Answer:
( -5) + (+8) = 3
(+5) + (+4) = 9
( -3) + (+1) = - 2
( -8) + ( -7) = - 15
( -6) + (+3) = 7
y-step explanation:
hope this helps!! and is it right? and make me brainliest pleaseee
pls help me i’ll give u brainlest if correct
Answer:
0%
Step-by-step explanation:
there is only one card with a 6; if you select the 6 card and do not replace it there is zero possibility of selecting another 6 card
How much is 1/3 cup of butter equivalent measurement?
Answer: equal 5 tablespoons plus 1 teaspoon butter.
Step-by-step explanation:
Answer:
1/3 cup would equal 5 tablespoons plus 1 teaspoon butter
Step-by-step explanation:
i Hope this was the answer you was looking for. If not just go to one of my questions and take the points that you need to gain back!!!
What is the slope of the line that passes through the points (-2,-3), and (5, 4)?
a. 3
b. -1
c. 1
d. -3
Answer:
I believe its A
Step-by-step explanation:
A. 3
Hope this helps
You moved 7 units left, 8 units up, and ended at point W
Where did you begin?
OA) (1.8)
OB) (9.1)
OC) (81)
OD) (9.8)
Please help me I’m tired
Answer:
C. (8,1)
Step-by-step explanation:
Please help meeeeeeeeeeeee
Answer:
The first one is D and the second one is B
Step-by-step explanation:
The first is D because the volume of a cylinder is v = π (pi) times the radius squared times the height of the cylinder.
so (π)(16^2)(7) =5629.73 ft^3
Then 1 ft^3 is = 7.5 gallons of water, so you multiple 5629.73 by 7.5 and round. Which gets you 42223
Find the value of x.
6
14
3x-12
21
x = [?]
what is photosynthesis
Answer:
writing m thoda problem h lakin samagh lena
Answer:
Photosynthesis is the process by which plants make there own food.
Step-by-step explanation:
Hope this will help you!
What is the equation of the exponential function??
Anthony's mom bought a new Prius in 2018 that cost
$28,000. She looked up the current value and saw that
it was only $22,000 after two years! She is worried
about how much her car will be worth in 3 more years.
What is the exponential equation?
1
How much will the car be worth in 3 years?
Submit
Answer:
$19500Step-by-step explanation:
Let the depreciation rate is x per year, then we have:
28000*x² = 22000x² = 22000/28000x² = 0.7857x = √0.7857 x = 0.8864Exponential function for this case is:
V(t) = 28000*0.8864^t, where V(t) - future value, t- number of yearsValue of the car after 3 years:
V(3) = 28000*0.8864^3 V(3) = 19500g(x) = 3x2 – 2x + 7 2x + 5 Find g(-1)
Answer:
2x+5= g(−1)=12
Step-by-step explanation:
Simplify is simple
A sequence is defined by the formula f(n+1)=f(n)-3. If f(4)=22, what is f(1)?
A. 10
B. 13
C. 31
D. 34
9514 1404 393
Answer:
C. 31
Step-by-step explanation:
The recursive definition tells us the 4th term is 22 and the common difference is -3. This lets us write an explicit formula for the n-th term:
f(n) = f(4) +d(n -4)
f(n) = 22 -3(n -4) = 34 -3n
Substituting n=1 into this formula, we get ...
f(1) = 34 -3(1) = 31
The first term is f(1) = 31.
Answer:
31
Step-by-step explanation:
- If A = 2x + 4 and B = 5x – 10 what is the value of
B-A?
Answer:
3x - 14Step-by-step explanation:
5x-10 - (2x+4)
= 5x - 10 -2x - 4
=3x-14The circumcenter is the center of the __________ circle.
Question 2 options:
A)
obtuse
B)
circumscribed
C)
inscribed
D)
congruent
Judy bought 20 apples at the store, and the total weight was 2 kilograms. If the apples all had about the same weight, how much did each apple weigh?
100 grams
200 grams
2,000 grams
500 grams
Answer:
100 grams
Step-by-step explanation:
Because I listened to someone on this question with the answer being 200 grams but it was wrong and the correct answer is 100 grams.
Charlie made hamburgers
for his family and they
each had a diameter of 7
cm. If he made 12
hamburgers. What is the
total area for all 12?
Answer:
461.58
Step-by-step explanation:
Find the slope of a line that contains the two points 0, 1 and 1, 3
Answer:
The slope is 2.
Step-by-step explanation:
Use the slope formula:
m = y2 - y1 / x2 - x1
Plug in the numbers from the ordered pairs:
m = 3 - 1 / 1 - 0
m = 2/1
Simplify:
m = 2
Helpp click on picture
express -17/8 in decimal form
Answer:
-2.125
Step-by-step explanation:
Find the surface area of the Triangular prism.
A = bh
A = 1/2(bh)
Answer:
Surface area of triangular prism =1/2(bh)
=1/2(3*4)
=6