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

Find the slope of the line that passes through (-5,-6), (-14,10)

Answers

Answer:

[tex]m=-\frac{4}{3}[/tex]

Step-by-step explanation:

Formula

[tex]m=\frac{rise}{run}=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

Solve

[tex]m=\frac{10+6}{-14+5}=\frac{16}{-9}=-\frac{4}{3}[/tex]

Answer:

Step-by-step explanation:

A=(-5, -6) = (x1 , y1)

B= (-14, 10)= (x2 , y2)

slope= y2 - y1/ x2- x1

=10+6/ -14+5

= 16/ -9

= 4 / -3

Alexia had $80.45 in her bank account on Monday. She deposited $20.50 on Tuesday. She then withdrew $37.25 on Wednesday. How much did Alexia have left in her account on Thursday?

Answers

Answer:$80.45=Monday $20.50=Tuesday$37.25=Wednesday ..................=Thursday $80.45+$20.50

---------------------

$100.95

-------------------

$100.95-$37.25-----------$63.70-----------She has $63.70 left on Thursday

I really need help I will mark brainliest

Answers

Answer:

is there a question orrrr

A architect made a scale drawing of a house to be built. The scale is 2 inches to 3 feet. The house in the drawing is 24 inches tall. How tall is the actual house?

Answers

Answer:

36 feet.

Step-by-step explanation:

2 goes into 24 12 times, 12 times 3 is 36 therefore the actual house is 36 feet tall.

Let z = z = 8 (cosine (StartFraction pi Over 3 EndFraction) + I sine (StartFraction pi Over 3 EndFraction) ) and w = 3 (cosine (StartFraction pi Over 6 EndFraction) + I sine (StartFraction pi Over 6 EndFraction) ).

Which statement describes the geometric construction of the product zw on the complex plane?

Stretch z by a factor of 3 and rotate StartFraction pi Over 2 EndFraction radians counterclockwise.
Stretch z by a factor of 3 and rotate StartFraction pi Over 6 EndFraction radians counterclockwise.
Stretch z by a factor of 24 and rotate StartFraction pi Over 2 EndFraction radians counterclockwise.
Stretch z by a factor of 24 and rotate StartFraction pi Over 6 EndFraction radians counterclockwise.

Answers

Answer:

c on edge

Step-by-step explanation:

fr

Answer:

(B) Stretch z by a factor of 3 and rotate π/6 radians counterclockwise.

Step-by-step explanation:

edge:2022 Happy new year!

I need to find the missing angle for this triangle

Answers

Answer:

44 degrees

Step-by-step explanation:

Because a right angle triangle if added all angles will=to 180 degrees

so 46+90=136

180-136=44

Answer:

44

Step-by-step explanation:

You add 46 to the 90 degree angle (right angle) and get 136. Then, because the angles of a triangle add up to 180 degrees all the time, you would do 180-136 and get 44.

David has 574 cereal bars that he wants to fit in bags of 10 and bags of 8. The number of bags of 8 is 2 more than the number bags of 10. How many bags of 8 and 10 can david pack the cereal bar into

Answers

Answer: lol have the same question

Step-by-step explanation:

574 = 8(x+2) + 10x
574 = 8x + 16 + 10x
574 = 18x + 16
558 = 18x
31 = X

31 bags of 10
33 bags of 8

Graphing combined functions! (25 points)

Answers

Step-by-step explanation:

toke a while to finish it, but there you go

cheers and have a good night :D

Write 81% as a fraction. There is no need to simplify your answer.​

Answers

Answer:

81/100

Step-by-step explanation:

Answer:

81/100

Step-by-step explanation:

Find mo 8 5 m n o
Mo=

Answers

Answer:

MO is 13 units

Step-by-step explanation:

If point lies on a segment, then this point divides the segment into two parts, the sum of their lengths equals the length of the segment

Point N ∈ segment MO

→ That means point N divide segments MO to two parts MN and NO

∴ Point N divides segment MO into two parts MN and NO

→ That mans the length of segment MO equals to the sum of

   lengths of MN and NO

MO = MN + NO

∵ MN = 8 units

∵ NO = 5 units

∴ MO = 8 + 5

MO = 13 units

The angles shown above form a linear pair. Show all of your work for full credit.
A. What is the angle relationship between these two angles?
B. Set up an equation and solve for n.
C. Substitute your values into the equation and find the measurements of both angles.

Answers

Answer:

A. [tex] (4n + 22) + (8n - 10) = 180 [/tex]

B. [tex] n = 14 [/tex]

C. 78° and 102°

Step-by-step explanation:

A. The relationship between the two angles that are a linear pair is: their sum gives us 180°. That is:

[tex] (4n + 22) + (8n - 10) = 180 [/tex]

B. [tex] (4n + 22) + (8n - 10) = 180 [/tex]

Solve for n.

[tex] 4n + 22 + 8n - 10 = 180 [/tex]

Collect like terms

[tex] 12n + 12 = 180 [/tex]

Subtract 12 from both sides

[tex] 12n + 12 - 12 = 180 - 12 [/tex]

[tex] 12n = 168 [/tex]

Divide both sides by 12

[tex] \frac{12n}{12} = \frac{168}{12} [/tex]

[tex] n = 14 [/tex]

C. Plug in the value of 14 to get the measurement of both angles

[tex] (4n + 22) = 4(14) + 22 = 56 + 22 = 78 [/tex]

[tex] (8n - 10) = 8(14) - 10 = 112 - 10 = 102 [/tex]

How many liters are in 120 quarts?

1 qt ≈ 0.95 L

Answers

Answer:

114 liters

Step-by-step explanation:

120 x 0.95 = 114

If a =
3
5
, b = 3, c = 1, d = 5, which equality is true?

A)
d
a
=
b
c
B)
a
b
=
c
d
C)
b
a
=
c
d
D)
a
d
=
b
c

Answers

Answer:

I'm nauseous, I'm dyin'

(She ripped my heart right out)

Can't find her, someone to

(My eyes are all cried out)

Lost it, riots

Gunfire inside my head, I've

Lost it, riots

Gunfire inside my head  78tt566786876

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

just took this test

A random sample of 17 hotels in Boston had an average nightly room rate of $165.40 with a sample standard deviation of $21.70. The critical value for a 98% confidence interval around this sample mean is ________.

Answers

Answer:

153.158 ; 177.642

Step-by-step explanation:

Given the following:

Sample mean (m) = 165.40

Sample standard deviation (s) = 21.70

Sample size (n) = 17

α = 98%

Confidence interval = m ± z(SE)

z at 98% = 2.326

SE = s/√n

SE = 21.70/√17 = 5.2630230

Hence,

Confidence interval = 165.40 ± 2.326(5.2630230)

165.40 - 12.241791498 OR 165.40 + 12.241791498

153.158 ; 177.642

How many solutions does this equation have

2x + 1 = 2x – 1

Answers

Wait by x do you mean times or? If you don’t mean times then it’s 4x

Can someone please help me, ty!! (Will mark brainliest)

Answers

Answer:

im gonna say 4 if im wrong its my fault

Explain the phrase conservation of energy and provide an example.

Answers

Answer:

Conservation of energy, principle of physics according to which the energy of interacting bodies or particles in a closed system remains constant. ... For example, when a pendulum swings upward, kinetic energy is converted to potential energy.

Step-by-step explanation:

The red-tailed tropic bird, Phaethon rubricauda, is an extremely rare sea bird that nests on several islands of the Queensland coast of Australia. As part of a conservation e ort to manage these endangered birds, every nesting pair was measured and weighed. Below are the body weights of these birds (in kg).

Female 2.45 2.57 2.81 2.37 2.01 2.50 2.32
Male 2.86 2.65 2.75 2.60 2.30 2.49 2.84

Required:
a. Determine the following descriptive characteristics for the weights of the females: mean, variance, and standard deviation. Is this a sample or population? Again, pay attention to number of decimal places and appropriate units.
b. Determine the mean, variance, and standard deviation for the male weights.

Answers

Answer:

This is a population

a) Female

Mean : 2.432857143kg

Variance: 0.05162040817kg

Standard deviation: 0.2272012504kg

b) Male

Mean : 2.641428571kg

Variance : 0.03432653062kg

Standard deviation: 0.1852742039kg

Step-by-step explanation:

a. Determine the following descriptive characteristics for the weights of the females: mean, variance, and standard deviation. Is this a sample or population? Again, pay attention to number of decimal places and appropriate units.

a) Female: 2.45 2.57 2.81 2.37 2.01 2.50 2.32

Mean

The formula = Sum of term/ Number of terms

Mean = 2.45 + 2.57 + 2.81 + 2.37 + 2.01 + 2.50 + 2.32/7

17.03/7

= 2.432857143kg

Variance

This is a population

Hence: The formula for Population variance =

= (X - Mean)²/N

Where N = Number of terms = 7

= (2.45 - 2.432857143)² + (2.57 -2.432857143)² + (2.81 -2.432857143)² + (2.37- 2.432857143)²+ (2.01 - 2.432857143)²+ (2.50 - 2.432857143)² + (2.32 - 2.432857143)² /7

= 0.0002938775509 + 0.01880816325 + 0.1422367347 + 0.003951020409 + 0.1788081633 + 0.004508163265 + 0.0127367347/7

= 0.3613428572/7

= 0.05162040817kg

Standard Deviation

Formula = √Variance

= √0.05162040817

= 0.2272012504kg

b. Determine the mean, variance, and standard deviation for the male weights

Male 2.86 2.65 2.75 2.60 2.30 2.49 2.84

Mean

The formula = Sum of term/ Number of terms

= 2.86 + 2.65 + 2.75 + 2.60 + 2.30 + 2.49 + 2.84/7

= 18.49/7

= 2.641428571 kg

Variance

= ( 2.86 -2.641428571)² + (2.65 - 2.641428571)² + (2.75 -2.641428571)² + (2.60 +2.641428571)² + (2.30 - 2.641428571)² + (2.49+2.641428571)² (2.84 + 2.641428571)²/7

= 0.0477734694 + 0.00007346938775 + 0.01178775511 + 0.001716326531 + 0.1165734694 + 0.02293061224 +! 0.03943061226/7

= 0.2402857143/7

= 0.03432653062kg

Standard Deviation

= √Variance

= √0.03432653062

= 0.1852742039kg

Simplify powers of i.
ASSIGNMENT
Simplify each of the following powers of i.
I^32

Answers

Answer:

i^15=-i

i^32=1

1^99=-i

i^22=-1

hope this helps :)

im sorry for the late answer, i put all the answers incase some one needs them, have a nice day!

Step-by-step explanation:

Answer: The answer is "1".

Step-by-step explanation:

Correct on edgen.

Which of the following lists the numbers shown below in order from least to
greatest? Please hurry

Answers

-63/8, -7.8, 4 √5, √51

SOMEONE HELP PLZ BRAINLIEST

Answers

Answer:

f = 3n = -16h = -10z = 7.5x = 54v = -12[tex]d = -\frac{417}{25}[/tex]  w = -27.6t = -5w = 43

I hope this helps!

Answer:

F=3

n= -16

h= -10

z =7.5

x=54

v= -12

d= -416÷25

w= -27.6

t= -5

w= 43

some wanna look at this and help me ?​

Answers

21x+1+14x+4=180
35x+5=180
35x=175
X=5
21(5)+1
105+1
Answer

I only have 30 minutes left​

Answers

Answer:

what is the question?

Step-by-step explanation:

U only posted a picture of a half paragraph

What’s the question
I can’t see the whole thing

What is the solution set of the quadratic inequality x^2-5<0

Answers

Answer:

-√5 < x <  √5 .

Step-by-step explanation:

x^2 - 5 < 0

Solving x^2 - 5 = 0

x = √5 and -√5

These are the critical points

The coefficient of x^2 is positive so the graph ( which is a parabola) opens up.

so the region when x^2 - 5 is < 0 is  when  x >  -√5  and < √5

                 

Answer:

D

Step-by-step explanation:

Which of the following statements describes the value of the expression 35 – 2x, when x = 6?

Answers

Answer:

35-2(6)

= 23

Prime number

Step-by-step explanation:

Answer:

23 . It is a prime number.

Step-by-step explanation:

[tex]35 - 2x \\ x = 6 \\ \\ 35 - 2(6) \\ = 35 - 12 \\ [/tex]

Simplify

[tex]23[/tex]

Which is one of the transformations applied to the graph of f(x) = x2 to produce the graph of p(x) = –50 + 14x – x2? a shift down 1 unit a shift left 7 units a shift right 1 unit a shift up 7 units

Answers

Answer:

Shift down one unit

Step-by-step explanation:

Correct for e2020

The transformation applied to the graph of f(x) to produce the graph of p(x) is:

A). a shift down 1 unit and a shift left 7 units.

What is transformation on the graphs?

Let the functions f(x) and g(x) be two real functions.

And g (x) = f (x) + k, where k is real numbers.

The function can be sketched by shifting f (x), k units vertically.

The direction of shift can be found by the value of k:

if k > 0, the base graph shifts k units up, and

if k < 0, the base graph shifts k units down.

The function provided by the basic function f(x) and the constant

g(x) = f(x - k),

may be drawn by horizontally moving the f(x) k unit coordinates.

The shift's direction depends on the value of k. Specifically,

The base graph moves k units to the right if k > 0, and

The base graph moves k units to the left if k < 0.

To determine the transformation applied to the graph of f(x) = x² to produce the graph of p(x) = –50 + 14x – x², we can compare the general forms of the two functions:

f(x) = x²

p(x) = –x² + 14x - 50

The function p(x) can be written as,

p(x) = –(x² - 14x + 49) - 1

p(x) = -(x - 7)² - 1

Therefore, the transformation applied to the graph of f(x) to produce the graph of p(x) is:

A). a shift down 1 unit and a shift left 7 units.

So, the correct answer is A).

To learn more about the transformation on the graphs;

https://brainly.com/question/19040905

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Determine wheather the given lines are parallel or not. Write the reasons .​

Answers

Answer:

yes it is parallel because the alternate interior angles are equal

The equation of a circle is (x−2)2+(y+6)2=100. Find the equation of a circle that is externally tangent to the given circle and has a center at (18, −6).

Answers

Answer:

(x-18)^2+(y+6)^=36

Step-by-step explanation:

circle basic equation is (x-h)^2+(y-k)^2=r^2

center is (18,-6) it is also externally tangent

so

(x-18)^2+(y+6)^2=36 answer

The equation of a circle that is externally tangent to the given circle and has a center at (18, −6) is [tex](x-18)^2+(y+6)^=36[/tex]

What is an equation of a circle?

A circle can be characterized by its center's location and its radius's length. Let the center of the considered circle be at (h,k) coordinate.

Let the radius of the circle be 'r' units.

Then, the equation of that circle would be:

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

Given that the circle basic equation is [tex](x-2)^2+(y+6)^2=100[/tex]

The center is (18,-6) it is also externally tangent;

Therefore,

[tex](x-18)^2+(y+6)^2=36[/tex]

Therefore, the equation of a circle that is externally tangent to the circle is; [tex](x-18)^2+(y+6)^2=36[/tex]

Learn more about equation of a circle here:

https://brainly.com/question/10165274

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Nancy has $700 and is spending $30 per week. Libby has $200 and is saving $20 per week. In how many weeks will Nancy and Libby have the same amount of money?

Answers

Simple Answer

Nancy and Libby will have the same amount on week ten.

Expiation

you can dived, repetitive subtraction, or use a number line(s) to get the same answer.

f(x) = -x^2 + 9x +4
Find f(-8)​

Answers

Answer:-132

Step-by-step explanation:

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