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Katyanochek1 [597]
3 years ago
9

Consider the following statement: ∀ integers n, if n2 is even then n is even. Which of the following are equivalent ways of expr

essing this statement? a. All integers have even squares and are even. b. Given any integer whose square is even, that integer is itself even. c. For all integers, there are some whose square is even. d. Any integer with an even square is even. e. If the square of an integer is even, then that integer is even. f. All even integers have even squares
Mathematics
1 answer:
Leni [432]3 years ago
6 0

Answer:

B, D, E, F.

Step-by-step explanation:

In the statement, the square of an even integer is even. From the options provided, we have to select the ones that provide similar ways of expressing this.

Options B, D, E, F provided with the question and reproduced below convey the same statement in different ways:

B: Given any integer whose square is even, that integer is itself even.;

D: Any integer with an even square is even.;

E: If the square of an integer is even, then that integer is even and  

F: All even integers have even squares.

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Water continuously moves between ____________ and _____________ parts of an ecosystem. Question 1 options: Biotic, Autotrophs Ab
borishaifa [10]

Answer:

Biotic, Abiotic

Step-by-step explanation:

Interconnected pathways through which water is recycled through the biotic and abiotic components of the biosphere.

The water cycle is driven by the Sun’s energy. The sun warms the ocean surface and other surface water, causing liquid water to evaporate and ice to sublime—turn directly from a solid to a gas. These sun-driven processes move water into the atmosphere in the form of water vapor.

Over time, water vapor in the atmosphere condenses into clouds and eventually falls as precipitation, rain or snow. When precipitation reaches Earth's surface, it has a few options: it may evaporate again, flow over the surface, or percolate—sink down—into the ground.

In land-based, or terrestrial, ecosystems in their natural state, rain usually hits the leaves and other surfaces of plants before it reaches the soil. Some water evaporates quickly from the surfaces of the plants. The water that's left reaches the soil and, in most cases, will begin to move down into it.

In general, water moves along the surface as runoff only when the soil is saturated with water, when rain is falling very hard, or when the surface can't absorb much water. A non-absorbent surface could be a rock in a natural ecosystem or asphalt or cement in an urban or suburban ecosystem.

Water evaporates to form the ocean surface and forms clouds by condensation. Water in clouds may fall as precipitation over either the land or the sea. Clouds formed over the sea may move over the land. When rain falls over the land, it may flow along the surface, infiltrate the soil—move into it from above ground—and percolate through the soil, moving downward to become groundwater. Groundwater in upper levels may flow into rivers, lakes, or oceans. Water near the soil surface may be taken up by plants and move out of their bodies through transpiration from the leaves. Snowmelt runoff and sublimation of snow and ice are other processes that contribute to the water cycle.

Water evaporates to form the ocean surface and forms clouds by condensation. Water in clouds may fall as precipitation over either the land or the sea. Clouds formed over the sea may move over the land. When rain falls over the land, it may flow along the surface, infiltrate the soil—move into it from above ground—and percolate through the soil, moving downward to become groundwater. Groundwater in upper levels may flow into rivers, lakes, or oceans. Water near the soil surface may be taken up by plants and move out of their bodies through transpiration from the leaves. Snowmelt runoff and sublimation of snow and ice are other processes that contribute to the water cycle.

Image credit: The water cycle by NOAA National Weather Service Jetstream, CC BY 2.0

Water in the upper levels of the soil can be taken up by plant roots. Plants use some of the water for their own metabolism, and water that's in plant tissues can find its way into animals’ bodies when the plants get eaten. However, most of the water that enters a plant's body will be lost back to the atmosphere in a process called transpiration.

4 0
3 years ago
Write the slope-intercept form of the equation of the line described.
Svetach [21]

Answer:

1) y = 2/3x - 2

2) y = -1/2x + 3

Step-by-step explanation:

1) Parallel lines have the same slopes. Write it in standard form (y = mx + c), then substitute the values of the coordinates into the equation.

y = 2/3x + c

0 = 2/3(3) + c

0 = 2 + c

0 - 2 = c

- 2 = c

Therefore, the slope-intercept form for the first part is y = 2/3x - 2.

2) Parallel lines have the same slopes. Write it in standard form (y = mx + c), then substitute the values of the coordinates into the equation.

y = -1/2x + c

1 = -1/2(4) + c

1 = -2 + c

1 + 2 = c

3 = c

Therefore, the slope-intercept form for the second part is y = -1/2x + 3.

5 0
2 years ago
Please help 14 points
Andrews [41]

Answer: 32

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Step-by-step explanation:

2^5 = 2x2x2x2x2 were the five is how much times you multiply the number by it self

8 0
3 years ago
Read 2 more answers
Linda and juan went shopping. Linda spent $19 less than Juan. If we let x represent how much juan spent, write an algebraic expr
Agata [3.3K]
The answer to this question would be x-19
5 0
3 years ago
Plz answer only if u know ur correct. tyvm. will give brainliest to best answer
N76 [4]

Slope is 1/2. Give brainly or I wont answer another one of your questions

5 0
3 years ago
Read 2 more answers
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