Please help asap!!! due tonight!!

A rock is dropped off a 500-foot cliff. After 1 second the rock is traveling 32 feet per second then after 4 seconds the rock st

kozerog [31]

Answer:

A. The equation describing the relationship between speed and time is:

s = 32t

Ordered pairs of the form (speed, time) are:

(32, 1)

(64, 2)

(96, 3)

(128, 4)

B.

Using s = 32t, we have:

s = 32 * 5 = 160 feet per second

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Height of the cliff = 500 feet

Speed after one second = 32 feet per second

Speed after four seconds = 128 feet per second

2. Assume the relationship between time, t, and speed, s, is linear and write an equation describing the relationship. Use ordered pairs of the form (speed, time)

The equation describing the relationship between speed and time is:

s = 32t

Ordered pairs of the form (speed, time) are:

(32, 1)

(64, 2)

(96, 3)

(128, 4)

3. Use the equation to determine the speed of the rock 5 seconds after is dropped.

s = 32t

s = 32 * 5 = 160 feet per second

Note: Same answer to question 14436233, answered by me today.

4 0

3 years ago

State the domain and range of both the function and the inverse function. f(x) = 8 x + 8 f -1(x) = Domain of f(x): Range of f(x)

Katena32 [7]

Answer:

$f^{-1}(x) = \frac{x+8}{8}$

Domain of f(x): All real values.

Range of f(x): All real values.

Domain of f -1(x): All real values.

Range of f -1(x): All real values

Step-by-step explanation:

We are given the following function:

$f(x) = 8x + 8$

Since it is a line, we have that both the domain is the range is the real set.

Inverse function:

The domain of the inverse function is the range of the original function, and the range of the inverse function is the domain of the original function.

Finding the inverse function:

Exchange x and y in the original function, and isolate y. So

Original

$y = 8x + 8$

Exchanging:

$x = 8y - 8$

Isolating y:

$8y = x + 8$

$y = \frac{x+8}{8}$

$f^{-1}(x) = \frac{x+8}{8}$

5 0

3 years ago

A 2-pound box of spaghetti costs $2.50. Philip says that the unit cost is 2 over 250 = $0.80 per pound. Explain his error

7nadin3 [17]

Phillip forgot to put a period between 2 and 50

4 0

3 years ago

Find the percent increase. Round to the nearest percent. From 13 friends to 16 friends

larisa86 [58]

The percentage increase; you'll need to take the new value and subtract it by the old value.

16 - 13 = 3

Next, you'll divide 3 by the original value.

3 ÷ 13 = 0.23

And multiply by 100

The percentage increase of friends is 23%

8 0

3 years ago

Help me please ahhhhh

Cerrena [4.2K]

<h3>Answers:</h3>

ST = 23
RU = 8
SV = 5
SU = 10

====================================================

Explanation:

Focus on triangles SVT and UVT.

They are congruent triangles due to the fact that SV = VU and VT = VT. From there we can use the LL (leg leg) theorem for right triangles to prove them congruent.

Since the triangles are the same, just mirrored, this means ST = UT = 23.

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

Following similar reasoning as the previous section, we can prove triangle RVU = triangle RVS.

Therefore, RS = RU = 8

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

SV = VU = 5 because RT bisects SU.

Bisect means to cut in half. The two smaller pieces are equal.

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

SU = SV + VU = 5+5 = 10

Refer to the segment addition postulate.

3 0

2 years ago

Read 2 more answers