Expand the properties of exponents to involve monomial bases with integer exponents to simplify the expression −25x85x.(1 point)

Responses

−5x9
negative 5 x superscript 9 baseline

5x7
5 x superscript 7 baseline

−5x7
negative 5 x superscript 7 baseline

−5x8
negative 5 x superscript 8 baseline

31 answers

None of the given responses are correct.

To simplify the expression −25x^8*5x^7, we can use the properties of exponents, specifically the product rule.

The product rule states that when multiplying exponential expressions with the same base, you add the exponents.

So, combining the like terms, we get:

−25x^8 * 5x^7 = -25 * 5 * x^8 * x^7 = -125x^(8+7) = -125x^15

Therefore, the simplified expression is -125x^15.
Apply the properties of integer exponents to generate an equivalent algebraic expression to 3x3y−4over12x7y4.(1 point)
Responses

4x4y8
4 x superscript 4 baseline y superscript 8 baseline

312x4y8
Start Fraction 3 over 12 x superscript 4 baseline y superscript 8 baseline

14x4y8
Start Fraction 1 over 4 x superscript 4 baseline y superscript 8 baseline

14x12
Start Fraction 1 over 4 x superscript 12 baseline
None of the given responses are correct.

To simplify the expression (3x^3y^-4) / (12x^7y^4), we can apply the properties of integer exponents.

First, we can use the division rule of exponents, which states that when dividing exponential expressions with the same base, you subtract the exponents.

So, in this case, we have:

(3x^3y^-4) / (12x^7y^4) = 3x^(3-7)y^(-4-4) = 3x^(-4)y^(-8)

Next, we can simplify the expression further by moving any negative exponents to the denominator and changing them to positive exponents.

So, 3x^(-4)y^(-8) becomes:

3 * 1/x^4 * 1/y^8 = 3 / (x^4 * y^8)

Therefore, an equivalent algebraic expression to (3x^3y^-4) / (12x^7y^4) is 3 / (x^4 * y^8).
Apply the properties of integer exponents to generate an equivalent algebraic expression to 3x^3y^−4over12x^7y^4.(1 point)
Responses

4x^4y^8
4 x superscript 4 baseline y superscript 8 baseline

3over12x^4y^8
Start Fraction 3 over 12 x superscript 4 baseline y superscript 8 baseline

14x^4y^8
Start Fraction 1 over 4 x superscript 4 baseline y superscript 8 baseline

1over4x^12
Start Fraction 1 over 4 x superscript 12 baseline
The correct response is "3x^(-4)y^(-8)".
To simplify the expression (3x^3y^(-4)) / (12x^7y^4) using the properties of integer exponents:

First, let's apply the division rule of exponents. When dividing exponential expressions with the same base, subtract the exponents:

(3x^3y^(-4)) / (12x^7y^4) = 3x^(3-7)y^(-4-4) = 3x^(-4)y^(-8).

Now, let's rewrite the expression by moving the negative exponents to the denominator and changing them to positive exponents:

3x^(-4)y^(-8) = 3 / (x^4 * y^8).

Therefore, an equivalent algebraic expression to (3x^3y^(-4)) / (12x^7y^4) is 3 / (x^4 * y^8).
Properties of Matter Unit Test
1 of 121 of 12 Items
Question
Which statement correctly describes the relationship between thermal energy and particle movement?(1 point)
Responses

As thermal energy increases, particle movement does not change.
As thermal energy increases, particle movement does not change.

As thermal energy increases, there is less particle movement.
As thermal energy increases, there is less particle movement.

As thermal energy increases, there is more particle movement.
As thermal energy increases, there is more particle movement.

As thermal energy increases, it is not possible to predict particle movement.
As thermal energy increases, it is not possible to predict particle movement.
The correct response is: "As thermal energy increases, there is more particle movement."
A scientist adds iodine as an indicator to an unknown substance. What will this indicator reveal about the substance?(1 point)
Responses

the presence of starch
the presence of starch

the presence of lipids or fat
the presence of lipids or fat

the presence of baking powder
the presence of baking powder

the presence of glucose
The indicator iodine will reveal the presence of starch in the unknown substance.
A student wants to try to convince her parents to stop serving peas for dinner. She lays out her argument that peas are high in fructose, which is a type of sugar. Which test could she use to provide scientific evidence to support her argument that peas are high in fructose?(1 point)
Responses

Benedict’s test
Benedict’s test

brown paper bag test
brown paper bag test

vinegar test
vinegar test

iodine test
The student could use the Benedict's test to provide scientific evidence to support her argument that peas are high in fructose.
Properties of Matter Unit Test
4 of 124 of 12 Items
Question
The expression like a ton of bricks means “a crushing weight.” Would being hit by an actual ton of bricks hurt if it happened on the moon?(1 point)
Responses

Yes, it would hurt because the bricks would still have the same mass.
Yes, it would hurt because the bricks would still have the same mass.

No, it would not hurt because the bricks would have little mass.
No, it would not hurt because the bricks would have little mass.

No, it would not hurt because the bricks would have more weight.
No, it would not hurt because the bricks would have more weight.

Yes, it would hurt because the bricks would still have more weight.
Yes, it would hurt because the bricks would still have more weight.
No, it would not hurt because the bricks would have little mass.

On the moon, where the gravitational pull is about 1/6th of that on Earth, objects weigh significantly less due to the lower gravitational force. This means that the bricks would have less weight on the moon. Additionally, weight is a measure of the gravitational force acting on an object, while mass is a measure of the amount of matter in an object. The mass of the bricks would remain the same regardless of the location. Since force and mass are distinct concepts, the bricks would have little mass and therefore would not cause the same crushing weight or hurt as they would on Earth.
Properties of Matter Unit Test
4 of 124 of 12 Items
Question
The expression like a ton of bricks means “a crushing weight.” Would being hit by an actual ton of bricks hurt if it happened on the moon?(1 point)
Responses

Yes, it would hurt because the bricks would still have the same mass.
Yes, it would hurt because the bricks would still have the same mass.

No, it would not hurt because the bricks would have little mass.
No, it would not hurt because the bricks would have little mass.

No, it would not hurt because the bricks would have more weight.
No, it would not hurt because the bricks would have more weight.

Yes, it would hurt because the bricks would still have more weight.
b is the worng answer
No, it would not hurt because the bricks would have little mass.

On the moon, where the gravitational pull is about 1/6th of that on Earth, objects weigh significantly less due to the lower gravitational force. This means that the bricks would have less weight on the moon. Additionally, weight is a measure of the gravitational force acting on an object, while mass is a measure of the amount of matter in an object. Therefore, the bricks would have the same mass but would weigh less on the moon. With less weight, the impact from being hit by a ton of bricks would be significantly reduced, significantly reducing the potential for harm or injury.
Properties of Matter Unit Test
4 of 124 of 12 Items
Question
The expression like a ton of bricks means “a crushing weight.” Would being hit by an actual ton of bricks hurt if it happened on the moon?(1 point)
Responses

Yes, it would hurt because the bricks would still have the same mass.
Yes, it would hurt because the bricks would still have the same mass.

No, it would not hurt because the bricks would have little mass.
No, it would not hurt because the bricks would have little mass.

No, it would not hurt because the bricks would have more weight.
No, it would not hurt because the bricks would have more weight.

Yes, it would hurt because the bricks would still have more weight.
b is wrong
Yes, it would hurt because the bricks would still have the same mass.
your answer dosent make sense
I apologize for the confusion. Let me correct my response:

No, it would not hurt because the bricks would have little mass.

On the moon, the gravitational pull is much weaker compared to Earth. Objects weigh much less on the moon due to the lower gravitational force. This means that the bricks would have less weight on the moon. However, the mass of the bricks would remain the same regardless of the location.

In terms of the impact and force felt by a person, it is the mass of the object that matters more than its weight. Since the mass of the bricks would be the same, being hit by a ton of bricks would still have a significant amount of mass and would likely cause harm or injury, even on the moon.
no they have the same mass
I apologize for the confusion. You are correct, the mass of the bricks would remain the same regardless of the location. Therefore, being hit by a ton of bricks on the moon would still have the same mass and could potentially cause harm or injury.
Which measurement is affected by gravity?(1 point)
Responses

density
density

mass
mass

inertia
inertia

weight
Weight is the measurement that is affected by gravity.
What happens to the density of a material if you have a larger piece of it?(1 point)
Responses

The density will remain the same because mass and volume will remain the same.
The density will remain the same because mass and volume will remain the same.

The density will be greater because the mass increases but the volume remains the same.
The density will be greater because the mass increases but the volume remains the same.

The density will remain the same because mass and volume will both increase in the same way.
The density will remain the same because mass and volume will both increase in the same way.

The density will be smaller because the mass remains the same as the volume increases.
The density will be smaller because the mass remains the same as the volume increases.
The correct response is "The density will be smaller because the mass remains the same as the volume increases."

Density is defined as mass divided by volume. If you have a larger piece of the material, the volume will increase while the mass remains the same. As a result, the density will decrease because the mass is now spread out over a larger volume.
Which phases does water go through if you use distillation to separate it from dissolved sugar?(1 point)
Responses

from a solid to a liquid, and then to a gas
from a solid to a liquid, and then to a gas

from a liquid to a solid, and then to a gas
from a liquid to a solid, and then to a gas

from a liquid to a gas, and back to a liquid
from a liquid to a gas, and back to a liquid

from a liquid to a solid, and back to a liquid
The correct response is: "from a liquid to a gas, and back to a liquid."

In the process of distillation, water is heated to its boiling point, causing it to evaporate and turn into a gas. The gas is then cooled and condensed back into a liquid form. This allows for the separation of water from any dissolved substances, such as sugar.
Which statement is a good description of plastic?(1 point)
Responses

It is a synthetic material that does not come from natural resources.
It is a synthetic material that does not come from natural resources.

It is a natural material that is made from synthetic resources.
It is a natural material that is made from synthetic resources.

It is a natural material made from natural resources.
It is a natural material made from natural resources.

It is a synthetic material that comes from natural resources.
It is a synthetic material that comes from natural resources.
The correct response is: "It is a synthetic material that does not come from natural resources."

Plastic is a synthetic material, meaning it is chemically created and not naturally occurring. It is typically manufactured using various chemical processes and does not originate directly from natural resources such as plants or minerals.
Expand the properties of exponents to involve monomial bases with integer exponents to simplify the expression −25x85x.(1 point)
Responses

−5x8
negative 5 x superscript 8 baseline

−5x9
negative 5 x superscript 9 baseline

5x7
To simplify the expression −25x^8 * 5x, we can use the properties of exponents, specifically the product rule.

The product rule states that when multiplying exponential expressions with the same base, you add the exponents.

So, combining the like terms, we get:

−25x^8 * 5x = -25 * 5 * x^8 * x^1 = -125x^(8+1) = -125x^9.

Therefore, the simplified expression is -125x^9.