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beks73 [17]
3 years ago
8

PLease help and best gets brainliest.

Mathematics
2 answers:
gizmo_the_mogwai [7]3 years ago
6 0
1) Yes, the relationship in the table is proportional. If, when you've been walking for 10 minutes, you are 1.5 miles away from home, and when you've been walking for 20 minutes, you are 1 mile away from home, and when you've been talking 30 minutes, you are 0.5 miles away from home, then we can see that there is a proportion that happens here. For every 10 minutes you walk, you get 0.5 miles closer to your home.

2) We know that you've been walking 10 minutes already at the start of this problem, and we know that you walk at a steady pace of 0.5 miles every 10 minutes, so we just need to add 0.5 miles to our starting point to get the distance from the school to home, which makes it 2 miles away.

3) An equation representing the distance between the distance from school and time walking could be something like this:

t = 20d

Where t is the amount of time it takes to get home (in this case, t = 40 minutes) and d is the distance you can walk in 10 minutes (in this case, 0.5 miles)

The equation is lame, but that's the best I could do :\
Hope that helped =)
Degger [83]3 years ago
4 0

<u>Part 1)</u> Is the relationship in the table proportional?

Let

y-------> your distance from home in miles

x-------> the time in minutes

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

Let

A(10,1.5)\\B(20,1)

<u>Find the slope AB</u>

the slope is equal to

m=\frac{(y2-y1)}{(x2-x1)}

Substitute the values

m=\frac{(1-1.5)}{(20-10)}

m=\frac{(-0.5)}{(10)}

m=-0.05

<u>Find the equation of the line with m and the point A</u>

y-y1=m(x-x1)

y-1.5=-0.05*(x-10)

y=-0.05x+0.5+1.5

y=-0.05x+2

therefore

<u>The answer part 1) is</u>

the relationship in the table is not proportional

<u>Part 2)</u> Find your distance from school fro each time in the table

for

x=10\ minutes\\y=1.5\ miles\\ distance\ from\ school= 2-1.5=0.5\ miles

for

x=20\ minutes\\y=1\ miles\\ distance\ from\ school= 2-1=1\ miles

for

x=30\ minutes\\y=0.5\ miles\\ distance\ from\ school= 2-0.5=1.5\ miles

<u>Part 3)</u> Write an equation representing the relationship between the distance from school and time walking

Let

y-------> your distance from school in miles

x-------> the time in minutes

A(10,0.5)\\ B(20,1)

<u>Find the slope AB</u>

the slope is equal to

m=\frac{(y2-y1)}{(x2-x1)}

Substitute the values

m=\frac{(1-0.5)}{(20-10)}

m=\frac{(0.5)}{(10)}

m=0.05

<u>Find the equation of the line with m and the point A</u>

y-y1=m(x-x1)

y-0.5=0.05*(x-10)

y=0.05x-0.5+0.5

y=0.05x

therefore

<u>the answer part 3) is</u>

y=0.05x

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5(p+3)

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Other than 1, what are the perfect square factors for 792? From least to greatest.
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Answer:

Factors of 792: 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792. Factor pairs: 792 = 1 x 792, 2 x 396, 3 x 264, 4 x 198, 6 x 132, 8 x 99, 9 x 88, 11 x 72, 12 x 66, 18 x 44, 22 x 36 or 24 x 33.

Step-by-step explanation:

7 0
3 years ago
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What is the solution to this equation?<br> (1/4)x+1 =32<br> A. -7/2<br> B. -2<br> C. 3/2<br> D. 2
ANEK [815]
(1/4)x+1=32
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7 0
2 years ago
A baseball is thrown with an upward velocity of 32 feet per second. The equation h=-16t^2+32t gives the height of the ball t sec
AnnZ [28]

Answer:

The function of height has a maximum value.

Step-by-step explanation:

Maximum or Minimum:

A given function f(x).

  1. Find out f'(x) and f''(x)
  2. Then set f'(x)=0 which gives x=a.
  3. f''(a) > 0 , then at x=a , f(x) has minimum value.
  4. If f''(a)<0 , then at x=a, f(x) has maximum value.

Given that, a baseball is thrown with with an velocity of 32 feet per second.

The equation of height is

h=-16t^2+32t

Differentiating with respect to t

h'=-32 t+32

Again differentiating with respect to t

h''=-32

Next, we set h'=0

-32 t+32=0

\Rightarrow 32t=32

\Rightarrow t=1

Now h''|_{t=1}=-32

Since at t=1, h''<0.

The function of height has a maximum value.

The maximum of h is = -16.(1)²+32

                                     = -16+32

                                     =16 feet

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3 years ago
What is the correct Unit Rate for 54 pints of juice in 3 containers? *
PilotLPTM [1.2K]

Answer:

0.0555 containers

Step-by-step explanation:

We need to find the unit rate for 54 pints of juice in 3 containers. It means we need to find quantity of juice in 1 container.

54 pints = 3 containers

1 pint = \dfrac{1}{18}\ \text{containers}

or

1 pint = 0.0555 containers

So, unit rate is 0.0555 containers.

7 0
3 years ago
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