9514 1404 393
Answer:
170 mph
Step-by-step explanation:
The speed of the airplane can be represented by s. The travel time will be ...
time = distance/speed
925/(s +15) = 775/(s -15)
925(s -15) = 775(s +15)
150s = 25500 . . . . . . . . . add 13875-775s
s = 170
The rate of the plane in still air is 170 mph.
Use the product rule to answer each of the questions below. Throughout, be sure to carefully label any derivative you find by name. It is not necessary to algebraically simplify any of the derivatives you compute.
a. Let m (w) = 3 w^17 4^w. Find m ′(w) .
b. Let h (t) = ( sin (t) + cos (t)) t 4. Find h ′(t).
c. Determine the slope of the tangent line to the curve y = f (x) at the point where a = 1 if f is given by the rule f(x) = e^x sin (x).
d. Find the tangent line approximation L(x) to the function y = g (x) at the point where a = − 1 if g is given by the rule g (x) = ( x^2 + x ) 2^x .
Answer:
A) M'(w) = w^16 * 4^w [ 51 + 3w In4 ]
B) h'(t) = [ cos (t) - sin (t) ] t^4 + [ sin(t) + cos (t) ] 4t^3
C) f'(1) = e' [sin(1) + cos(1) ]
D) g'(a) = 0 - 1/2
L(x) = - 1/2 ( x + 1 )
Step-by-step explanation:
Attached below is the detailed solution of the problem
A) m(w) = 3w^17 * 4^w
M'(w) = w^16 * 4^w [ 51 + 3w In4 ]
B) h(t) = [sin(t) + cos(t) ] t^4
h'(t) = [ cos (t) - sin (t) ] t^4 + [ sin(t) + cos (t) ] 4t^3
C) f(x) = e^x sin (x). at a = -1
f'(1) = e' [sin(1) + cos(1) ]
D) g (x) = ( x^2 + x ) 2^x .
g'(a) = 0 - 1/2
L(x) = - 1/2 ( x + 1 )
To win a trivia game you must score 90 points each correct answer is worth 1 3/4 points, each incorrect point is worth -1/4 points if he gets 58 questions correct and 22 questions incorrect, what is his score?
What is 11/9 as a decimal?
Each square in Figures D and E has a side length of 1 unit. Compare the area of the two figures. Which figure has more area? How much more? Explain or show your reasoning.
Option B has more, if you want to have mathematical work just set each of the square side lengths to 1. In the first figure, you have 4 units square for each square so 2 units sq on the first and 4 on the second. Then since the other shapes are half circles or 1/4 circles we can put them together to get full and partial circles. The first shape had 2 full circles and the second shape has 1.5. SO using 1 as the radius, you get 3.14 units sq per circle. Leaving you with (circles) 6.28 + (squares) 2 leaving you with 8.28 units sq for figure 1 and (circles) 4.71 + (squares) 4 leaving you with 8.71 for figure 2. This leaves you with a .43 difference. Hope this helps
Answer:
The areas of all 3 shaded regions are equal: about 30.96 square units (144 - 36π square units). The area of the entire square is 144 square units, because 12⋅12=144. The area of the 1 large circle is approximately 113.04 square units, because 3.14⋅62=113.04. The area of the 4 medium circles is also 113.04 square units, because 3.14⋅32=28.26, and 28.26⋅4=113.04. The area of the 9 small circles is also 113.04 square units, because 3.14⋅22=12.56, and 12.56⋅9=113.04.
Step-by-step explanation:
solve for g when g=1/6(w+40)
9514 1404 393
Answer:
g = 1/6(w+40)
Step-by-step explanation:
The given equation is already solved for g. Nothing need be done.
g = 1/6(w+40)
a chemical change creates a new
Answer:
A new substance with new and different physical and chemical properties.
Step-by-step explanation:
Chemical reactions involve combining different substances. The chemical reaction produces a new substance with new and different physical and chemical properties. Matter is never destroyed or created in chemical reactions. The particles of one substance are rearranged to form a new substance.
If you find my answer helpful
Pls consider marking my answer as Brainliest! It would mean a lot!
Which expression is equivalent to (5x3)(2x)3
O 10x6
O 30X6
O 40x6
O 1,000x12
Answer:
10[tex]x^{6[/tex]
Step-by-step explanation:
I really hope 5x3 is 5x cubed and 2x3 is 2x cubed.
First multiply the coefficients (5*2)=10
then multiply the variables [tex]x^{3}[/tex]x[tex]x^{3}[/tex]=[tex]x^{6}[/tex]
then multiply them both
10[tex]x^{6[/tex] or option 1
The answer is C: 40x6
Can someone help and explain? 4 + 5x - 1
Answer:
5x+3
Step-by-step explanation:
1. Subtract 1 from 4
4+5x-1
2. Solution
5x+3
2. The assessed value of the Oscar's house is $159,000. The
annual property tax is rate 4.23% of the assessed value.
What is the annual property tax on the Oscar's house?
Answer:
6725.70
Step-by-step explanation:
159000 * 0.0423 = 6725.70
Need answer asap please help
Answer:
5(-3)^2+7
Step-by-step explanation:
Answer:
5(-3)^2+7
Step-by-step explanation:
please this is my true answer dont judge me please..thank...
Which one is right i need this fast
Answer:
The answer for the question is A, D and E
Answer:
a.
Step-by-step explanation:
is b because is answer is b thank you
you want new jeans and there is a sale this week where they are marked down 30%. what is your final cost if the original price is $50?
Answer: 15 dollars
Step-by-step explanation:
0.3 * 50
What does the value of the LCM represent? How many packs of red sticks and blue sticks should Harold purchase?
Answer:
LCM mean least common multiple
Step-by-step explanation:
The red sticks in a pack of 8 so, to get 24 red sticks, Harold needs = 3 packs. The blue sticks come in a pack of 12 to get 24 blue sticks, Harold need = 2 pack
Answer:
the LCM represents the minimum number of sticks of each color that Harold would have to buy to have the same number of blue sticks and red sticks.
The red sticks come in packs of 8. So, to get 24 red sticks Harold need 3 packs.
The blue sticks come in packs of 12, so to get to 12 blue sticks Harold needs 2 packs.
in conclusion Harold should purchase 3 packs of red sticks and 2 packs of blue sticks.
hope this helped ^^
Scientists examined data on mean summer sea‑surface temperatures (in degrees Celsius) and mean coral growth (in millimeters per year) over a several‑year period at locations in the Red Sea.
Temperature (∘C) 29.55 29.96 30.04 30.28 30.34 30.47 30.81
Growth (mm/y) 2.64 2.37 2 .74 2.52 2.34 2.46 2.31
Required:
Use your calculator to find the mean and standard deviation of both sea surface temperature x and growth y and the correlation r between x and y . Then use these basic measures to find the slope and intercept of the least‑squares line for predicting y from x .
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
Temperature (∘C) 29.55 29.96 30.04 30.28 30.34 30.47 30.81
Growth (mm/y) 2.64 2.37 2.74 2.52 2.34 2.46 2.31
Using calculator and treating temperature and growth data as samples :
Temperature :
Mean : ΣX/n
n = sample size
Mean temperature (m) = 211.45 / 7
Mean temperature = 30.21°C
Standard deviation (s) :
Sqrt(Σ(X - m)²/n - 1)
s = 0.403
Growth:
Mean : ΣX/n
n = sample size
Mean growth (m) = 17.38 / 7
Mean growth = 2.483 mm/yr
Standard deviation (s) :
Sqrt(Σ(X - m)²/n - 1)
s = 0.161
Using the correlation Coefficient a calculator : the correlation Coefficient is - 0.6278, This shows that a negative relationship exists between both variables.
The intercept of the graph = 17.812
The slope of the relationship : -0.504
Round to the nearest hundredth 13.459
Answer:
13.46
Step-by-step explanation:
The correct response is 13.46.
Since 9 is greater than 5, we replace the 5 in the hundreths place with a 6.
Jacob is training for a marathon. His plan is to run the same distance for 3 days a week, then increase that distance
by the same amount each week of training. During week 6, Jacob runs 14 miles per day, which is 1.5 miles more per
day than he ran during week 5. Which equation represents the daily running distance, in miles, as a function of time,
t, in weeks?
f(t) = 0.5t + 7
f(t) = 0.5t + 11
f(t) = 1.5t + 5
f(t) = 1.5t + 12.5
Answer:
f(t) = 1.5t + 5
Step-by-step explanation:
each week he will run an extra 1.5 miles and one the first week he started off running 5 miles. 1.5 is your slope and 5 is the y-intercept.
Answer:f(t) = 1.5t + 5
Step-by-step explanation:
Edg 2020
Help APSPP!!!!!!!!!!
Answer:
c is the answer young flyyy
Step-by-step explanation:
Answer:
hhaaaaaaaaaaaahhhhhhhhaaaaaaaaaaaaaaas
Step-by-step explanation:
(a) If A is the area of a circle with radius r and the circle expands as time passes, find dA dt in terms of dr dt . dA dt
Answer:
Step-by-step explanation:
The question is incomplete. Here is the complete question.
If A is the area of a circle with radius r and the circle expands as time passes, find dA/dt in terms of dr/dt. dA dt = dr dt (b) Suppose oil spills from a ruptured tanker and spreads in a circular pattern. If the radius of the oil spill increases at a constant rate of 1 m/s, how fast is the area of the spill increasing when the radius is 25 m?
Area of the circle A = πr²
dA/dr = 2πr where r is the radius of the circle
dA/dt = dA/dr * dr/dt
dr/dt is the rate of increase in radius of the oil spill.
Given
dr/dt = 1m/s
radius r = 25m
Substitute into the formula above;
dA/dt = dA/dr * dr/dt
dA/dt = 2πr * 1
dA/dt = 2π(25) * 1
dA/dt = 50πm²/s
dA/dt = 157.1m²/s
Hence the area of the spill is increasing at the rate of 157.1m²/s
Answer please ? Find the perimeter of the figure ( must include all sides )
Answer:
32 ft
Step-by-step explanation:
First we can add up all the sides we already know as perimeter is the sum of all the lengths of a shape. 9+6+3+4 = 22
There are two unknown side lengths in the diagram, the long one at the top, and the short one between the 3ft side and the 4ft side. Luckily these can be easily found using the given sides. Since this shape is rectangular in nature (all 90-degree angles), the top length is the same as the bottom length. We know the total bottom length to be 7ft (3+4) so the top length must be 7ft as well.
Similarly, all the vertical lengths on the right side must be equal to the 9ft length on the left side, therefore the unknown length is 3ft (9-6).
Adding on these two new lengths and our total perimeter is 22+7+3 = 32ft.
Hope this helped!
f(x) =x^6-3x+9
g(x)=3x^3+2x^2-4x-9
Find (f-g)(x)
Step-by-step explanation:
(f-g)(x)=
[tex]x ^{2} - 3x + 9 - (3 {x}^{3} + 2 {x}^{2} - 4x - 9) = \\ x ^{2} - 3x + 9 - 3 {x}^{3} - 2 {x}^{2} + 4x + 9 = \\ - 3 {x}^{3} - x ^{2} + x + 18[/tex]
Two students missed a lot of school. One student missed every 4 days and the other students missed every 6 days. In 60 days how many times will they miss school at the same time?
LCM
what is the least common denominator of 1/2, 2/3 and 3/8 A. 48 B. 24 C. 16 D. 12
Answer:
B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
HELP!!!!!!!! I LOVE YOU AND ILL EVEN GIVE BRAIN
Which equation has exactly one solution?
А
3(x +1) =3x+ 2
B
3x =r +2.c
C
3x =T +2
3(x +1) =3x +3
Please answer fast
List all subsets of the given set.
B = {Lennon, McCartney}
O {}, {Lennon}, {McCartney}
O {}, {Lennon}, {McCartney}, {Lennon, McCartney}
{}, {McCartney}, {Lennon, McCartney}
{ }, {Lennon}, {Lennon, McCartney}
{Lennon}, {McCartney}, {Lennon, McCartney}
please help!
Answer:
O {}, {Lennon}, {McCartney}, {Lennon, McCartney}
Step-by-step explanation:
Both the empty set and the total set are subsets of the given set.
Hence there are 4 subsets.
Answer:
O {}, {Lennon}, {McCartney}, {Lennon, McCartney}
Step-by-step explanation:
Pete grabbed 18 mixed nuts, StartFraction 2 Over 9 EndFraction of which were almonds. Which equation shows how to determine the number of almonds Pete grabbed? 18 divided by StartFraction 2 Over 9 EndFraction = 81 18 times StartFraction 2 Over 9 EndFraction = 4 StartFraction 2 Over 9 EndFraction divided by 18 = StartFraction 1 Over 81 EndFraction StartFraction 9 Over 2 EndFraction divided by 18 = one-fourth
Answer:
1/4
Step-by-step explanation:
9 divide by 18= 1/4
HELP PLEASE! I WILL GIVE BRAINILEST!
The graph of the function B is shown below. Find B(1).
O-1
01
02
Answer:
id say -1 though not enough details
Step-by-step explanation:
Please answer quickly ASAP: How do you find the area of a trapezoid?
Answer:
To find the area of a trapezoid, multiply the sum of the bases (the parallel sides) by the height (the perpendicular distance between the bases), and then divide by 2.
Step-by-step explanation:
Kevin's wife sends him to the store to buy pickles and ice cream. Ice cream cost 5 dollars per pound and pickles costs 8 dollars per pound. Kevin has 80 dollars in his wallet. Let x be the number of pounds of ice cream and y be the number of pounds of pickles that Kevin purchases. State the inequality that represents his budget, and graph the solution that represents the possible combinations of x and y . Express your answer with the standard form a x + b y on the left side. The budget inequality is _____________________
Answer:
5x+8y≤80
Step-by-step explanation:
trust me ;)
Answer:
5x+8y< 80
Step-by-step explanation:
The total amount should be less than 80 or equal to
N+2=-14-n 46 POINTS WORK SHOWN
Answer:
woah that seems too complicated for my 9th grade brain
Step-by-step explanation:
n+2=−14−n
Move all terms containing n to the left side of the equation.
2n+2=−14
Move all terms not containing n to the right side of the equation.
2n=−16
Divide each term by 2 and simplify.
So the answer is: n=−8