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3 years ago

7

the grade 6 class harvested 3 1/4 kg tomatoes, 5 3/4 kg of eggplant and 2 1/2 kg of green pepper from their "gulsyan sa paaralan

". how many kilograms of vegetables did they harvest in all?

1 answer:

Sonbull [250]3 years ago

6 0

3 1/4 + 5 3/4 + 2 1/2 = x
Convert 2 1/2 to a fraction over 4

3 1/4 + 5 3/4 + 2 2/4 = 10 6/4 = 11 2/4 = 11 1/2 kg of vegetables

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he radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the bones from a mastodon had lost

elena-s [515]

Answer:

The bones were 12,485 years old at the time they were discovered.

Step-by-step explanation:

Amount of the element:

The amount of the element after t years is given by the following equation, considering the decay rate proportional to the amount present:

$A(t) = A(0)e^{-kt}$

In which A(0) is the initial amount and k is the decay rate, as a decimal.

The radioactive element carbon-14 has a half-life of 5750 years.

This means that $A(5750) = 0.5A(0)$ , and we use this to find k. So

$A(t) = A(0)e^{-kt}$

$0.5A(0) = A(0)e^{-5750k}$

$e^{-5750k} = 0.5$

$\ln{e^{-5750k}} = \ln{0.5}$

$-5750k = \ln{0.5}$

$k = -\frac{\ln{0.5}}{5750}$

$k = 0.00012054733$

So

$A(t) = A(0)e^{-0.00012054733t}$

A scientist determined that the bones from a mastodon had lost 77.8 % of their carbon-14. How old were the bones at the time they were discovered?

Had 100 - 77.8 = 22.2% remaining, so this is t for which:

$A(t) = 0.222A(0)$

Then

$0.222A(0) = A(0)e^{-0.00012054733t}$

$e^{-0.00012054733t} = 0.222$

$\ln{e^{-0.00012054733t}} = \ln{0.222}$

$-0.00012054733t = \ln{0.222}$

$t = -\frac{\ln{0.222}}{0.00012054733}$

$t = 12485$

The bones were 12,485 years old at the time they were discovered.

8 0

3 years ago

The relationship between the input values (x) and the output values (y) is :'y is one less than a quarter of x'

sattari [20]

An equation in the form of y is y = x/4 - 1

<h3>An equation in the form y = ...</h3>

The statement is given as:

'y is one less than a quarter of x'

A quarter of x means x/4

So, we have:

y = x/4 - 1

Hence, an equation in the form of y is y = x/4 - 1

<h3>Number sentences</h3>

From the question, we have:

x = -4, -2,0, 2 and 4

Substitute these values in y = x/4 - 1

-4/4 - 1 = -2

-2/4 - 1 = -1.5

-0/4 - 1 = -1

2/4 - 1 = -0.5

4/4 - 1 = 0

The above represents the number sentences

<h3>The flow diagram</h3>

This is represented as:

x Computation y

-4 -4/4 - 1 -2

-2 -2/4 - 1 -1.5

-0 -0/4 - 1 -1

2 2/4 - 1 -0.5

4 4/4 - 1 0

<h3>The table of values</h3>

This is represented as:

x y

-4 -2

-2 -1.5

-0 -1

2 -0.5

4 0

<h3>Ordered pairs of numbers.</h3>

This is represented as:

(-4, -2), (-2, -1.5), (0, -1), (2, 0.5) and (4, 0)

Read more about linear functions at:

brainly.com/question/15602982

#SPJ1

8 0

11 months ago

Andy estimated that he would need 79 feet of lumber for a tree house project. He later found that the actual amount of lumber ne

Radda [10]

Answer:

Step-by-step explanation:

79 divided by 68 is your answer

You can do the math

5 0

3 years ago

Which pair of triangles is congruent by asa?

ladessa [460]

I believe it would be D.

6 0

3 years ago

Read 2 more answers

Evaluate the question

mylen [45]

Answer:

A) 5/6

B) -67/30 (or) -2 7/30

A) -9/2 (or) -4 1/2

Step-by-step explanation:

A) 2/3(5)-5/2=3 1/3-5/2 = 10/3-5/2 = 20/6-15/6= 5/6

B) 2/3(2/5)-5/2= 4/15-5/2 = 8/30-75/30 = -67/30

A) 2/3(-3)-5/2=-2-5/2= -4 1/2

7 0

2 years ago