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Mekhanik [1.2K]
3 years ago
12

Katya measured the growth of a plant seedling. The seedling grew 1/3 inch by the end of the first week and another 5 / 6 inch by

the end of the second week. About how much did the seedling grow in the first 2 weeks? Explain how you made your estimate.
Mathematics
2 answers:
Oksanka [162]3 years ago
8 0

Answer:

The plant grew \frac{7}{6} \ in, the first two weeks.

Step-by-step explanation:

To find how much grew the plant in the first 2 weeks, we just have to sum both growth numbers.

In the first week it grew \frac{1}{3} \ in.

The second week it grew  \frac{5}{6} \ in.

The total growth was:

\frac{1}{3} \ in+ \frac{5}{6} \ in=\frac{6+15}{18}=\frac{21}{18}=\frac{7}{6} \ in

Therefore, the plant grew \frac{7}{6} \ in, the first two weeks.

cupoosta [38]3 years ago
4 0
The seedling grew 1 1/6 inches or approximately 1.16 inches. 1/3 is equal to 2/6, 2/6 + 5/6 = 7/6
7/6 = 1 1/6
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kykrilka [37]

The value of the cosine ratio cos(L) is 5/13

<h3>How to determine the cosine ratio?</h3>

The complete question is added as an attachment


Start by calculating the hypotenuse (h) using

h^2 = 5^2 + 12^2

Evaluate the exponent

h^2 = 25 + 144

Evaluate the sum

h^2 = 169

Evaluate the exponent of both sides

h = 13

The cosine ratio is then calculated as:

cos(L) = KL/h

This gives

cos(L) =5/13

Hence, the value of the cosine ratio cos(L) is 5/13

Read more about right triangles at:

brainly.com/question/2437195

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1 year ago
What is the y-intercept of the function, represented by the table of values
AleksandrR [38]

Answer:

9

Step-by-step explanation:

The table is given below

\left|\begin{array}{c|cc}x&y\\--&--\\-2&15\\1&6\\2&3\\4&-3\\7&-12\end{array}\right|

We can see that the table represents a linear function since by checking its slope.

Using:

  1. Points (-2,15) and (1,6)
  2. Points (1,6) and (2,3)

Slope =\dfrac{6-15}{1-(-2)} =\dfrac{3-6}{2-1}=-3

Therefore, the values represent a linear function.

A linear equation is of the form y=mx+b

Therefore:

y=-3x+b

Using the points (7,-12)

-12=-3(7)+b\\-12=-21+b\\b=-12+21\\b=9

Therefore, the y-intercept of the function, represented by the table of values is 9.

6 0
3 years ago
laura decides to walk to her job. she walks 1 1\2 miles in 3\5 hour. what is laura's walking rate? laura's job is 4 1\2 miles aw
Nuetrik [128]
To find the rate in miles per hour, divide the miles by the hours.

(1 1/2 miles)/(3/5 hour) =

= 3/2 miles * (5/3 hour)

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= 2 1/2 mph

Her walking rate is 2 1/2 mph.

(4 1/2 miles) / ( 2 1/2 mph) =

= 9/2 miles / (5/2 mph)

= 9/2 * 2/5 hours

= 9/5 hours

= 1 4/5 hours

From 9:00 a.m. to 11 a.m., she has 2 hours, but she only needs 1 4/5 hours to walk, so she will make it to work on time.
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2 years ago
Y=-3x + 10<br> y = -2x + 6<br> Substitution method
Nutka1998 [239]

Answer:

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Step-by-step explanation:

y=−3x+10;y=−2x+6

Step: Solve y=−3x+10for y:

Step: Substitute−3x+10foryiny=−2x+6:

y=−2x+6

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−x=−4

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Step: Substitute4forxiny=−3x+10:

y=−3x+10

y=(−3)(4)+10

y=−2(Simplify both sides of the equation)

7 0
2 years ago
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