Simplify 5 (7r - 2) - 14r + 4.
To simplify this expression, we will use the distributive property.
First, we distribute the 5 to the terms inside the parentheses:
5 * 7r = 35r
5 * -2 = -10
So the expression becomes: 35r - 10 - 14r + 4.
Next, we combine like terms:
35r - 14r = 21r
-10 + 4 = -6
So the simplified expression is: 21r - 6.
simplify 17d - 33 + 9 (2d + 6) - 11
To simplify this expression, we will continue using the distributive property.
First, we distribute the 9 to the terms inside the parentheses:
9 * 2d = 18d
9 * 6 = 54
So the expression becomes: 17d - 33 + 18d + 54 - 11.
Next, we combine like terms:
17d + 18d = 35d
-33 + 54 - 11 = 10
So the simplified expression is: 35d + 10.
Simplify 6 (3q - 4) + 18 - 12q - 7 (4q + 5)
To simplify this expression, we will continue using the distributive property.
First, we distribute the 6 to the terms inside the parentheses:
6 * 3q = 18q
6 * -4 = -24
So the expression becomes: 18q - 24 + 18 - 12q - 7(4q + 5).
Next, we distribute the -7 to the terms inside the parentheses:
-7 * 4q = -28q
-7 * 5 = -35
So the expression becomes: 18q - 24 + 18 - 12q - 28q - 35.
Next, we combine like terms:
18q - 12q - 28q = -22q
-24 + 18 + (-35) = -41
So the simplified expression is: -22q - 41.
simplify -5 + 3/4(8h + 12) - 10h
To simplify this expression, we will continue using the distributive property.
First, we distribute the 3/4 to the terms inside the parentheses:
(3/4) * 8h = 6h
(3/4) * 12 = 9
So the expression becomes: -5 + 6h + 9 - 10h.
Next, we combine like terms:
6h - 10h = -4h
-5 + 9 = 4
So the simplified expression is: -4h + 4.
Factor 24n - 32 using GCF
To factor 24n - 32 using the greatest common factor (GCF), we will find the GCF of the two terms.
The prime factorization of 24 is 2 * 2 * 2 * 3, and the prime factorization of 32 is 2 * 2 * 2 * 2 * 2.
The common factors between 24 and 32 are 2 * 2 * 2, which is equal to 8.
Now, we can factor out the GCF from both terms:
24n - 32 = 8(3n - 4)
Therefore, 24n - 32 can be factored as 8(3n - 4) using the greatest common factor.
will increasing speed increase kinetic energy
Yes, increasing speed will increase kinetic energy.
Kinetic energy (KE) is directly proportional to the square of an object's speed (v). The formula for kinetic energy is KE = 1/2 mv^2, where m represents the mass of the object.
When speed is squared, it has an exponential effect on kinetic energy. Thus, increasing the speed of an object will result in a greater increase in kinetic energy.
will increasing an objects mass increase kinetic energy
Yes, increasing an object's mass will increase its kinetic energy.
The formula for kinetic energy is KE = 1/2 mv^2, where m represents the mass of the object and v represents its velocity or speed.
As we can see from the formula, kinetic energy is directly proportional to mass. When the mass of an object increases, the kinetic energy also increases. This means that an object with a greater mass will have more kinetic energy than an object with a smaller mass, assuming the velocities of the two objects are the same.
Which option describes the purpose of adding graphics and multimedia to informational texts?
to remove difficult vocabulary from a text
to make a report look good
to reduce the amount of information for the reader
to clarify certain kinds of information for ease of understanding
The correct option is: to clarify certain kinds of information for ease of understanding.
Adding graphics and multimedia to informational texts can help enhance understanding by presenting information in a visual or interactive format. Graphics, such as charts, graphs, and diagrams, can help visualize data or processes. Multimedia elements, such as images, videos, and animations, can provide further clarification and engagement for the reader. Overall, incorporating graphics and multimedia can help to convey complex or abstract concepts in a more accessible and engaging manner.