a man walks for 45 minutes at a rate of 3 mi/h then jogs for 75 minutes at a rate of 5 mi/h then rests for 30 minutes and finally walks for 90 minutes at a rate of 3 mi/h. Write a piecewise-defined function expressing the distance he traveled as a function of time.

Answers

Answer 1

Answer:

Sorry need points

Step-by-step explanation:


Related Questions

A stone is launched into the air from a height of 240 feet. The height, h, of the stone, in feet, t seconds after launch is given by
the formula h = 16t^2 + 32t+ + 240. After how long will the stone hit the ground?

Answers

A projectile is an object launched into space, and moving under the influence of gravity and momentum. The stone here is an example. Thus, the time taken for the stone to reach the ground is 10 seconds.

On launching of the stone into space, it behaves as a projectile. Thus moving under the influence of gravity and its momentum. Its momentum is the product of its mass and velocity.

The height h, is given as:

h = 16[tex]t^{2}[/tex] + 32t + 240

Differentiating the expression with respect to t, we have;

32t + 32 = 0

t = -1 seconds

Substitute the value of time, t, in the equation for the height;

h = 16 - 32 + 240

  = 224

h = 224 m

Total height, S = 240 + 224

                         = 464

S = 464 m

The total height covered by the stone is 464 m.

From the second equation of free fall,

S = Ut + [tex]\frac{1}{2}[/tex]g[tex]t^{2}[/tex]

S = [tex]\frac{1}{2}[/tex]g[tex]t^{2}[/tex]

464 = [tex]\frac{1}{2}[/tex]*9.8*[tex]t^{2}[/tex]

[tex]t^{2}[/tex] = [tex]\frac{928}{9.8}[/tex]

  = 94.694

t = [tex]\sqrt{94.694}[/tex]

 = 9.7311

t 10 seconds

The time taken for the stone to hit the ground is 10 seconds.

Thus option A is the required answer.

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a small square garden has an area of 25 square yards. how long is each side of the garden?

Answers

Answer:

Step-by-step explanation:

A square has an area of base times height which is identical to base.

If x is the length of a side, A = x•x = x²

x² = 25

x = √25

x = 5 yards

I really need help. Giving brainliest to the real answer. Please my grade closes tomorrow (don’t mind the writing I tried doing it myself)

Answers

Answer:

1. B

2. D

3. E

4. C

5. A

6. F

solve pls brainliest

Answers

Answer:

40

Step-by-step explanation:

LCD = 40
9/8 and 1/10 = 45/40 and 4/40

How
many different possible outcomes are there if you spin 6 spinners labeled Red,
Blue, Yellow?

Answers

Answer:

Step-by-step explanation:

Five more than the difference of two numbers

Answers

Answer: (x - y) + 5

Step-by-step explanation: Difference of two numbers means subtraction so we know its x - y. Then, we need five more so addition which means (x - y) + 5.

Would appreciate brainly <3

Identify the domain and range of each relation. Is the relation a function?
x y
5 3
8 6
10 11

Answers

Answer:

No

Step-by-step explanation:

Considering domain and range of a function, we first have to create the function based off the given points.

So this would mean first having to find the slope of the equation, which would be using the slop/point formula of [tex]\frac{y_{1} -y_{2} }{x_{1} -x_{2} }[/tex]

Taking the first 2 points, it would make the equation as follows:

[tex]\frac{y_{1} -y_{2} }{x_{1} -x_{2} } = \frac{6-3}{8-5} = \frac{3}{3} = 1[/tex]

To be sure, we take the 2nd pair of points (point 2 and point 3) and make the equation with those as well.

[tex]\frac{y_{1} -y_{2} }{x_{1} -x_{2} } = \frac{11-6}{10-8} = \frac{5}{2} = 2.5[/tex]

Since these 2 slopes do not match, this set of relations cannot be a function, and therefore a domain/range cannot be found.

What is 2x=6 pls answer fasttt

Answers

[tex]2x = 6 \\ x = \frac{6}{2} = 3[/tex]

Answer:

×=6/2=3

Step-by-step explanation:

problem referred below
pls help

Answers

Answer:

B

7 less than 3 times a number (X) is (3x-7), and then the sum of these two numbers means we have (3x-7)+X, and then we know this equals 109, leaving us with:

(3x-7)+x = 109

Find total cost to the nearest cent.$1500 computer; 7% tax

Answers

Answer:

Total Cost = $1605

Step-by-step explanation:

Total Cost = Cost of the Computer +  (Cost of the computer × tax %)

Total Cost = $1500 + ($1500 × .07)

Total Cost $1500 + $105

Total Cost = $1605

Saturn the ring system around saturn has a diameter of 170000miles. find the circumference of the ring system.

Answers

Answer:

534,070.75 miles

Step-by-step explanation:

The circumference formula is [tex]d\pi[/tex] or [tex]2r\pi[/tex].

But since we're given the diameter, 170,000, all we have to do is multiply it by [tex]\pi[/tex].

[tex]170000*\pi = 534070.75 (Rounded)[/tex]

Pease someone help me with this.

I just need two more tiles to create but I don't know how they would look like.

I will show below what I have filled and what the question is asking.

Question: How many different layouts are possible for a path that is five feet long? Draw them all here:

Answers

Answer:

go get that girl

Step-by-step explanation:

sike  you use what you got the first time

Answer:

If the path is 5 feet long, then you could only have a limited amount of layouts...so- you could only have 5 limited spaces in one layout, making it 5 DIFFERENT LAYOUTS.

(I don't know what they're really asking, but I did what makes sense, SORRY if I'm wrong, I'm going to try and solve it better/draw it.)

PLS HELP ASAP
x^2 - 4x-1=0
Solve using formula

Answers

X1=2-Square root 5 x2=2+ Square root 5

2x ( x - 2x) = 1

2x= 1

x = 0.5

x-2x = 1

-x = 1

x = -1

How do you multiply 47.5 by 28

Answers

Answer: uhhhh

Step-by-step explanation:

Answer:

Step-by-step explanation:

1330 is the answer

Solve the inequality -3p + 7 < -2p+8​

Answers

p  >  −  1

............................................................................................

What is the equation of the line that passes through the point (2, -6) and
has a slope of – 3/2
-
-

Answers

y= -3/2x - 3

putting them firstly in the point slope formula and then distributing ...... I can't really explain what I did so here is the picture

If g(t) = 5t^2 - 3t - 3 and h(t) = 7t^2 + 9t - 8, find g(t) + h(t)

Answers

[tex]g(t) + h(t)\\\\=(5t^2 -3t -3)+(7t^2 +9t -8)\\\\=12t^2+6t-11[/tex]

On a family trip to Oman, Tarek drove 300 km in 5 hours. This is an example of a unit rate or a rate? Please tell the correct answer.

Answers

Answer:

300 km in 5 hours is the rate

unit rate is how much in one unit

in this case the unit is one hour

60km / hour

What should be done to both sides of the equation in order to solve -5m = -40?


A. Multiply by -5.
B. Divide by -5.
C. Multiply by -40.
D. Divide by -40.

Answers

Answer
B. Divide by -5

Answer:

B.Divide by -5

Step-by-step explanation:

-5m= -40

divide bothe sides by -5

m= -40/-5

m= 8

A circle has a diameter of 18 inches. Which is the following is closet to the circumference of the circle?

Answers

Answer:25.13

Step-by-step explanation:

use the formulas

C=2πr

d=2r

a car traveling at 49 ft/sec decelerates at a constant 7 feet per second squared. how many feet does the car travel before coming to a complete stop?

Answers

Answer:

7feet I hope this help you.

A linear function is defined by the equation f(x)=-2(x+5). The table below represents another linear function ,g(x). What is the distance between the y-intercept of f(x) and the y-intercept of g(x) ?

Answers

Answer:

b. 3

Step-by-step explanation:

find equation of g(x):

(-16-(-10))/(-3-(-1))=-6/-2=3

apply a point

-16=3(-3)+n

-16=-9+n

n=-7

g(x)=3x-7

find equation of f(x):

f(x)=-2(x+5)

simplify

f(x)=-2x-10

subtract y intercepts

-7-10=3

3

sunny earns $12 per hour delivering cakes. She worked for x hours this week. Unfortunately, she was charged $15 for a late delivery on Tuesday ?

Answers

Answer:

12x-15 dollars

Step-by-step explanation:

She worked for x hours, and earned $12 for every hour. This would be 12x. Then, she got charged $15 dollars, so -15. It would then be 12x-15 dollars.

Solve by factoring
Y^2+5y+6=0

•-3
•4,8
•2,3
•-4,3

Answers

Step-by-step explanation:

y²+5y+6=0

y²+2y+3y+6=0

y(y+2)+3(y+2)=0

(y+2)(y+3)=0

:. y=2,3

option C.

hope this helps you.

Answer:

Step-by-step explanation:

Y^2+5y+6=0

5^2 - 4*2*6

25-48

23 i

-5 +4.79i =>   -0.21  =>      0.5i

2*2                     4

-5 +4.79i =>   -9.79  =>      2.44i

2*2                     4

If a ½ gallon of paint covers ⅙ of a wall, continuing at this rate how much paint is needed for the entire wall?

Answers

Answer:

3 gallons

Step-by-step explanation:

math help me please n

Answers

Answer:

Step-by-step explanation:

21x1/12=1.75 cm

1.75x10=17.55 mm

17.55 mm

(PLEASE HELP ME I NEED THIS VERY QUICKLY)
find the value of x in the rhombus ​

Answers

Answer:

1/2 and -5/2

Step-by-step explanation:

Assuming all sides are equal just put the equations equal to each other and solve

Solve the following questions: 17 x 10 = 24 x 100 = 6 x 1000 =

Answers

Answer:

17 x 10= 170

24 x 100= 2,400

6 x 1000= 6000

Step-by-step explanation:

pls pls help!!! brainliest!!
Chris got a new cell phone and wanted to download some music. The graph shows the storage on his cell phone as a function of
-intercept in terms of this problem.

A. The x-intercept shows that he can download 53 songs before running out of storage on his phone
B. The x-intercept shows that he started with 16 songs downloaded before adding more.
C. The x-intercept shows that he has 53 GB of storage on his phone.
D. The x-intercept shows that he can download 16 songs before running out of storage on his phone.

Answers

Answer: the answer is A. The x-intercept shows that he can download 53 songs before running out of storage on his phone

Step-by-step explanation:

Chris got a new cell phone and wanted to download some music. The graph shows the storage on his cell phone as a function of

-intercept in terms of this problem.

A. The x-intercept shows that he can download 53 songs before running out of storage on his phone

B. The x-intercept shows that he started with 16 songs downloaded before adding more.

C. The x-intercept shows that he has 53 GB of storage on his phone.

D. The x-intercept shows that he can download 16 songs before running out of storage on his phone.

What is: 17/21 + 1/3 - 5/7 as a fraction in simplest form?

(Giving brainliest, 5 stars and a thanks)

Answers

Answer:

3/7

Step-by-step explanation:

it is -1/21 as a fraction
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