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Mama L [17]
3 years ago
10

How to rotate 90 degree counterclockwise

Mathematics
1 answer:
Stella [2.4K]3 years ago
3 0
Rotate once to the left side
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An evergreen nursery usually sells a certain shrub after 7 years of growth and shaping. The growth rate during those 7 years is
neonofarm [45]

Answer:

(a)h(t)=\frac{1.3t^2}{2} + 2t +17

(b)62.85cm

Step-by-step explanation:

The growth rate of the shrub is given as:

\frac{dh}{dt} = 1.3t + 2

Where t=time in years, h=height in centimeters

(a)First, we solve for the height h(t) by integrating.

\int \frac{dh}{dt} dt= \int (1.3t + 2)dt\\h(t)=\frac{1.3t^2}{2} + 2t +C, $  C a constant of Integration$\\$We sunstitute the initial value to find the value of C$\\$When t=0, h=17cm$\\17=C\\Therefore:\\h(t)=\frac{1.3t^2}{2} + 2t +17

(b)The shrub are sold after 7 years of growth. Therefore, we determine the value of h(t) when t=7 years.

h(t)=\frac{1.3t^2}{2} + 2t +17\\h(7)=\frac{1.3*7^2}{2} + 2(7) +17\\=31.85+14+17\\h(7)=62.85cm

The Shrubs are 62.85cm tall when they are sold.

4 0
3 years ago
Match the name of the sampling method descriptions given.
Sladkaya [172]
A. simple random
b. systematic
c. cluster
d. stratified
e.convenience
6 0
3 years ago
A diver jumps off a 20 foot high diving board with an initial upward velocity of 4 feet per second. Use the vertical motion mode
Pachacha [2.7K]

The height is represented by h = -16t² + 4t + 20 and There is only one solution, because the solutions indicate time and time cannot be negative.

<h3>How to solve vertical motion models?</h3>

We are given the vertical model of the diver's jump as;

h = -16t² + vt + s

where;

h is height

t is time

v is velocity

s is distance

A) We are given;

Distance; s = 20 ft

velocity; v = 4 ft/s

Thus;

h = -16t² + 4t + 20

B) The solution of the model is gotten from;

-16t² + 4t + 20 = 0

Solving this quadratic equation gives;

t = 1.25 seconds or -1 second

C) B. There is only one solution, because the solutions indicate time and time cannot be negative.

Read more about Vertical Motion Models at; brainly.com/question/27526920

#SPJ1

7 0
2 years ago
Raphael paid $656 for a camera during a 20% off sale. What was the camera's regular price?
Alchen [17]
$820.

If you divide 656 by 8 (since it's 80% of the total price), you get 82.
Multiplying 82 by 10 would equal the original price.
8 0
2 years ago
|60|____ |-60| <br><br> = <br><br> &lt; <br><br> &gt;
madreJ [45]
|60| = |-60|

Since modulus function always gives positive output so both numbers will be equal
5 0
3 years ago
Read 2 more answers
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