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djverab [1.8K]
3 years ago
13

Lisa is standing on a dock beside a lake. She drops a rock from her hand into the lake. After the rock hits the surface of the l

ake, the rock's distance from the lake's surface changes at a rate of −2 inches per second. If Lisa holds her hand 5 feet above the lake's surface, how far from Lisa's hand is the rock 4 seconds after it hits the surface?
Mathematics
2 answers:
Lemur [1.5K]3 years ago
7 0

Answer:

  • 5 ft 8 in or 68 in

Step-by-step explanation:

<u>In 4 seconds the rock will be at:</u>

  • 2*4 = 8 in from the surface

<u>Add 5 feet to this to get the required distance:</u>

  • 5 ft + 8 in = 5*12 in + 8 in = 68 in
luda_lava [24]3 years ago
3 0

Distance after 8s:-

\\ \rm\longmapsto 4(-2)=-8in

Now

Distance:-

\\ \rm\longmapsto 5-(-8)

\\ \rm\longmapsto 5ft+8in

  • 1ft=12in

\\ \rm\longmapsto 5ft+3/4ft

\\ \rm\longmapsto 23/4ft

\\ \rm\longmapsto 5.7ft

  • Convert to in

\\ \rm\longmapsto 5.7\times 12

\\ \rm\longmapsto 68in

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Explain how you can use doubles when multiplying with 4 to find 4x8
STALIN [3.7K]
You can figure out what four times eight is by adding eight and eight(16) and doubling it (32)
8 0
3 years ago
Help!! (You will get 100 points! &amp; Brainliest if you are correct)
Dafna1 [17]

Answer: The first number that appears in both sequences is 28.

Step-by-step explanation:

Let's write down numbers from each of the sequences

Sequence 1) We need to start from 7 and multiply 4

7x4=28, 28x4=112

The sequence is 7,28,112...

Sequence 2) We need to start from 8 and add 5

5+8=13, 13+5=18, 18+5=23, 23+5=28

The sequence is 8,13,18,23,28...

They both have 28

5 0
2 years ago
Read 2 more answers
Solve for m.<br><br> m + 7 ≥ 20<br><br><br><br> A. m ≥ 27<br> B. m ≥ 13<br> C. 13 ≥ m<br> D. 27 ≥ m
diamong [38]
The answer would be C
7 0
3 years ago
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A cylindrical piece of iron pipe is shown below. The wall of the pipe is 0.75 inch thick, and the pipe is open at both ends:
Gnesinka [82]

Answer:

(A)398 cubic inches

Step-by-step explanation:

Given a cylindrical piece of iron pipe with the following dimensions:

  • Height = 12 inches
  • Diameter = 8 inches

Therefore: External radius =4 Inches

Since the wall of the pipe is 0.75 inch thick,

Internal Radius =4-0.75 =3.25 Inches

Volume of a Cylinder = \pi r^2 h

Inside Volume of the Pipe

= \pi*3.25^2*12\\=398$ cubic inches

The correct option is A.

6 0
3 years ago
This is for algebra 2 can someone tell me if I’m right and can someone explain how do you get a= ?
algol13

Answers:

a = 2

h = 3

k = -3

You have the correct h and k values. Nice work so far.

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

Explanation:

(h,k) is the vertex. So (h,k) = (3,-3) meaning h = 3 and k = -3

To get the value of 'a', we need to plug in some point on the red graph. Each point is of the form (x,y). We can pick any point we want that isn't the vertex.

Let's pick (0,3) which is the y intercept. I'm picking this because 0 is an easy number to work with

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

y = a|x-h| + k

y = a|x-3| + (-3) .... plug in the h,k values

y = a|x-3| - 3

3 = a|0-3| - 3 .... plug in (x,y) = (0,3)

3 = a|-3| - 3

3 = a*3 - 3

3 = 3a - 3

3a-3 = 3

3a = 3+3 ... adding 3 to both sides

3a = 6

a = 6/3 ... divide both sides by 3

a = 2

The value a = 2 indicates that the parent function y = |x| has been stretched vertically by a factor of 2. So it is twice as tall as before. Then it has been shifted to place the vertex at (3,-3) as shown in the graph.

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

You may be wondering why you can't pick on the vertex for (x,y)

Let's see what happens if we use (x,y) = (3,-3)

y = a|x-3| - 3

-3 = a|3-3| - 3 ... plug in (x,y) = (3,-3)

-3 = a|0| - 3 ... uh oh, we get 0 here

-3 = a*0 - 3

-3 = 0 - 3

-3 = -3

We get a true statement, which is nice, but it doesn't tell us anything about what the value of 'a' is. That 'a' term goes away entirely. So I avoided using x = 3 to prevent x-3 from being 0.

4 0
3 years ago
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