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natta225 [31]
2 years ago
12

Andrea conducts a science experiment and observes that the height of a plant depends on the amount of sunlight it receives. The

plant's height is 37 centimeters, and it grows at a rate of 0.004 centimeter per hour of sunlight. If the number of hours of sunlight is represented by the variable s, which function can represent the height of the plant? A.S(h) = 0.004h – 37 B.F(h) = 37h + 0.004 C.F(s) = 0.004s + 37
Mathematics
2 answers:
GaryK [48]2 years ago
7 0

Answer:

Option C. F(s)=0.004s+37

Step-by-step explanation:

Let

F(s) ----> the plant's height in cm

s -----> the number of hours of sunlight

we know that

The equation of the line in slope intercept form is equal to

y=mx+b

where

m is the slope of rate of change

b is the y-intercept or initial value

In this problem we have

m=0.004 cm/h -----> the slope is the rate of grow

b=37 cm ----> the y-intercept (initial value)

substitute the values in the equation

y=0.004s+37

Convert to function notation

F(s)=0.004s+37

Guest
1 year ago
thank you
laiz [17]2 years ago
4 0

Answer:

f(s) = 0.004s + 37

Step-by-step explanation:

Got it correct, edge2020.

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yaroslaw [1]

The options of the problem are

A. 0\ B. \frac{1}{7}\ C. 2\ D. \frac{7}{3}

we have

9x^{8} +9x^{6} - 12x +7

we know that

<u>The Rational Root Theorem </u>states that when a root 'x' is written as a fraction in lowest terms

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p is an integer factor of <u>the constant term</u>, and q is an integer factor of <u>the coefficient of the first monomial</u>.

So

in this problem

the constant term is equal to 7

and the first monomial is equal to 9x^{8} -----> coefficient is 9

therefore

<u>the answer is the option </u>

D. \frac{7}{3}

7 0
2 years ago
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In the past, 35% of the students at ABC University were in the Business College, 35% of the students were in the Liberal Arts Co
Darya [45]

Answer:

Step-by-step explanation:

Given that in the past, 35% of the students at ABC University were in the Business College, 35% of the students were in the Liberal Arts College, and 30% of the students were in the Education College.

Table is prepared as follows

                            Bus coll.     Lib Arts coll      Educ. coll        Total

Observed                  90                120                 90                  300

Expected p.c.             35                 35                 30                  100

Expected number     105                105                 90                 300

Percent*300/100

Hence expected frequency for business college = 105

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2 years ago
A stick of butter in the shape of a rectangular prism has a length of 8 inches, a width of 3 inches, and a height of 3 inches. W
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Answer:

72in^3

Step-by-step explanation:

the information we know about the shape of the stick of butter:  

length = 8in

width = 3in

height=3in

The formula for the volume of a rectangular prism is:

volume=length*width*height

we find the volume by multiplying ll the measurements of the stick.

So we substitute the values to find the volume and we get the following:

volume=8in*3in*3in\\volume=72in^3

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5 0
2 years ago
Suha is going to buy 150 envelopes.
Katyanochek1 [597]

Suha should buy 150 envelopes from shop 1 because the cost in shop 1 is 0.06 less shop 2.

<u>Step-by-step explanation</u>:

Total number of envelopes = 150

<u>The cost of envelopes :</u>

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<u>Shop 1 :</u>

The number of packs to buy 150 envelopes = 150 /25 = 6 packs

The total cost to buy 6 packs = 6 × 3.49 = 20.94

The cost of 150 envelopes in shop 1 is 20.94

<u>Shop 2 :</u>

The number of packs to buy 150 envelopes = 150 /10 = 15 packs

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The total cost to buy 10 packs = 10 × 2.10 = 21

The cost of 150 envelopes in shop 2 is 21

The difference between shop 2 and shop 1 = 21 - 20.94 = 0.06

Therefore, the cost in shop 1 is 0.06 less than shop 2. So, Suha should buy 150 envelopes from shop 1.

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Answer:

Step-by-step explanation:

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