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Makovka662 [10]
3 years ago
13

Emma says the GCF of 16 and 12 is 48. Her friend Grace says the answer is 4. Who is right? Explain.

Mathematics
2 answers:
Anastasy [175]3 years ago
8 0

Grace is correct.  The greatest common FACTOR of 16 and 12 is 4.

Emma gave the correct answer to a different question. 48 is the least
common MULTIPLE of 16 and 12, not their greatest common factor.

Alexus [3.1K]3 years ago
6 0
Grace is correct because emma is found the LCM (least common multiple) 
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3 years ago
95. Because atoms, molecules, and ions are very small, they are counted in units of moles, where 1 mole = 6.022 × 1023 molecules
Galina-37 [17]

Answer:

There are 10⁻⁷ hydrogen ions in one-liter water

Step-by-step explanation:

Hi there!

a. If the pH = 7.0, then:

-log(H) = 7.0

multiply both sides of the equation  by -1

log(H) = -7.0

Apply 10ˣ to both sides

10^(log (H)) = 10⁻⁷

(H) = 10⁻⁷

There are 10⁻⁷ hydrogen ions in one-liter water.

Why 10^(log (H)) = (H)?

Let´s consider this function:

y = 10^(log x)

(Apply log to both sides)

log y = log 10^(log x)

(Apply logarithmic property: log xᵃ = a · log x)

log y = log x · log 10

(log 10 = 1)

log y = log x

y = x

(since y =  10^(log x) and y = x):

10^(log x) = x

That´s why 10^(log (H)) = (H)

7 0
2 years ago
Black walnut trees contain chemicals that inhibit the growth of other plants. In a simple experiment to test whether this is tru
solong [7]

Answer:

<em>Height of tomato plant is the </em><u><em>dependent variable</em></u>

<em>Presence of walnut leaves in the soil is the </em><u><em>independent variable</em></u>

<em>Tomato plants grown without walnut leaves is the </em><u><em>control</em></u>

<u><em></em></u>

Step-by-step explanation:

<em>An independent variable is the variable in an experiment that can be altered to test for a certain result. It is independent, or does not change with change in other factors in the experiment.</em> In this case, the presence or absence, or quantity of walnut available in the soil is the independent variable in the experiment.

<em>A dependent variable varies, and depends on the independent variable. It is what is measured in the experiment.</em> In this case, the height of the tomato plants is the dependent variable that depends on the presence, absence or quantity of walnut in the soil.

<em>A control in an experiment, is a replicate experiment, that is manipulated in order to be able to test a single variable at a time.</em> Controls are variables are held constant so as to minimize their effect on the system under study. In this case, some of the tomato plants are planted without walnut in the soil, to test the effect of the absence of the walnut in the soil.

5 0
3 years ago
The area of a rectangular patio is (12x - 4) square units. What are possible dimensions of the patio?
MAVERICK [17]
You need two terms that multiply to (12x-4). The term on the outside needs to be a common multiple of 12 and 4. The common factors are 1, 2, and 4. Here are the following possible dimensions:
1(12x-4)
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4(3x-1)
Hope this helps. 
4 0
3 years ago
What is the value of the expression x + (–y) when x = –2.3 and y = –5.9? A. –8.2 B. –3.6 C. 3.6 D. 8.2
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Now it would be
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now just add those two together
and u get -8.2
So the answer is A
7 0
2 years ago
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