Bob is hiking down a 12-mile country trail. He could hike at 3 mph for the first two hours and then go the rest of the way at 5 mph or he could just go the whole way at 4 mph. How long would each of these options take? Which option is the faster?
Answer:
The first option would take:
The second option would take:
The faster option is the:

Answers

Answer 1

Answer: The first option would take: 3.2 hr

The second option would take: 3 hr

The faster option is the: second

Step-by-step explanation:

Answer 2

Answer:

Below in bold.

Step-by-step explanation:

Speed = distance / time.

First option:

Walking  at 3mph for 2 hours will give 2*3 = 6 miles.

So for 6 miles travelling at 5 mph he will take 6/5 = 1.2 hours.

Total time = 3.2 hours.

Second option:

Walking for 12 miles at 4 mph will take him 12/4 = 3 hours.

The fastest option is the second one.


Related Questions

f(x) =x^6-3x+9
g(x)=3x^3+2x^2-4x-9
Find (f-g)(x)

Answers

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]

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?

Answers

Answer:

6725.70

Step-by-step explanation:

159000 * 0.0423 = 6725.70

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?

Answers

Answer: 15 dollars

Step-by-step explanation:

0.3 * 50

What is 11/9 as a decimal?

Answers

1.2

hope this helped:))

you could put a - over the 2 to show it continues because it’s 1.22222222 and so on

Please answer quickly ASAP: How do you find the area of a trapezoid?

Answers

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:

(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

Answers

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

- 7/8 k = -21
Please show the steps... :(

Answers

Answer:

Your answer is: k = 24

Solve for  k  by simplifying both sides of the equation, then isolating the variable.

Step-by-step explanation:

Hope this helped : )

-7/8k = -21

Step 1: Multiply both sides by 8/(-7).

(8/-7) x -7/8k = -21 x (8/-7)

Answer= k = 24


Which expression is equivalent to (5x3)(2x)3
O 10x6
O 30X6
O 40x6
O 1,000x12

Answers

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

what is the least common denominator of 1/2, 2/3 and 3/8 A. 48 B. 24 C. 16 D. 12

Answers

Answer:

B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer please ? Find the perimeter of the figure ( must include all sides )

Answers

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!

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 _____________________

Answers

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

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 .

Answers

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

Which one is right i need this fast

Answers

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

Help APSPP!!!!!!!!!!

Answers

Answer:

c is the answer young flyyy

Step-by-step explanation:

Answer:

hhaaaaaaaaaaaahhhhhhhhaaaaaaaaaaaaaaas

Step-by-step explanation:

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 .

Answers

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 )

solve for g when g=1/6(w+40)​

Answers

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)​

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

Answers

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

. A snack bar is having a sale on hamburgers. At 9:00AM, the snack bar has sold 28 hamburgers. At 12:00PM, the snack bar discovers that it has sold 103 hamburgers. What is the average rate of change between 9:00AM and 12:00PM?

Answers

Answer:

75

Step-by-step explanation:

The average rate of change between 9:00 AM and 12:00 PM is 25 if a snack bar is having a sale on hamburgers. At 9:00 AM,

What is the rate of change?

It is defined as the change in values of a dependent variable with respect to the independent variables.

It is given that:

A snack bar is having a sale on hamburgers. At 9:00 AM, the snack bar sold 28 hamburgers.

At 12:00 PM, the snack bar discovers that it has sold 103 hamburgers.

The average rate of change between 9:00 AM and 12:00 PM:

= (103 - 28)/(12 - 9)

= 75/3

= 25

Thus, the average rate of change between 9:00 AM and 12:00 PM is 25 if a snack bar is having a sale on hamburgers. At 9:00 AM,

Learn more about the rate of change here:

brainly.com/question/12786410

#SPJ2

N+2=-14-n 46 POINTS WORK SHOWN

Answers

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

In one particular suburb, there are 10 families that own a labrador. If there are a total of 20 families that own a dog in general, then what percentage of dog owners have a labrador?

Answers

10 your welcome thanks

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

Answers

I’m pretty sure that it’s b

a chemical change creates a new

Answers

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!

I don't understand with this question, can you help me with this pls?

Answers

Answer:

By moving the decimal at the end of the number to the correct amount of places for x 10 you move it once to the right for x 100 you move it right twice.

Step-by-step explanation:

Suppose f(x)=2x−5 and g(x)=|−3x+1|. Find the value of f(x−2)

Answers

Answer:

2x-9

Step-by-step explanation:

f(x)=2x-5

to find f(x-2) we substitute x-2 in place of x

hence,f(x-2)=2(x-2)-5=2x-4-5

=2x-9

am i correct?

What does the value of the LCM represent? How many packs of red sticks and blue sticks should Harold purchase?

Answers

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 ^^

What is the value to the expression -2.1(4.7+(-7.4))

Answers

The correct answer is 5.67
Someone said 5.67 so

5|7+4x|-7=48
Please help

Answers

Answer: 1.2

Step-by-step explanation:

first multiply 5 by 7 to get 35, and 5 by 4x to get 20x. Then add negative 7 to 35 and we have 28 subtract 28 from both sides getting 20x=20, so x is 1

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.

Answers

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:

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!

Answers

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:

Can someone help and explain? 4 + 5x - 1

Answers

Answer:

5x+3

Step-by-step explanation:

1.  Subtract 1 from 4

4+5x-1

2. Solution

5x+3

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