The change in kinetic energy (in Joules) as a horse accelerates from canter to gallop is found using the expression 12×350×(122−62)
. Which is the change in kinetic energy?
To find the change in kinetic energy, we substitute the given values into the expression:
12 × 350 × (12^2 - 6^2)
= 12 × 350 × (144 - 36)
= 12 × 350 × 108
= 453,600 Joules
Therefore, the change in kinetic energy is 453,600 Joules.
wrong
Apologies for the mistake.
The correct calculation would be:
12 × 350 × (12^2 - 6^2)
= 12 × 350 × (144 - 36)
= 12 × 350 × 108
= 453,600 Joules
Therefore, the change in kinetic energy is 453,600 Joules.
inncorect.
I apologize for the incorrect response. Let's calculate the change in kinetic energy correctly.
The expression given is 12 × 350 × (122−62).
First, let's simplify the expression inside the brackets: (122-62) = (144-36) = 108.
Now we can substitute this back into the original expression:
12 × 350 × 108 = 453,600 Joules.
Therefore, the change in kinetic energy is 453,600 Joules.
Which expression represents the sum of 8 and twice a number?
The expression that represents the sum of 8 and twice a number is 8 + 2x, where x represents the number.
Each side of a square is (7 + 3x) units. Which is the perimeter of the square?
The perimeter of a square is the sum of all four sides.
Since each side of the square is given as (7 + 3x) units, the perimeter can be found by adding all four sides together:
Perimeter = (7 + 3x) + (7 + 3x) + (7 + 3x) + (7 + 3x)
= 4(7 + 3x)
= 4 * 7 + 4 * 3x
= 28 + 12x
Therefore, the perimeter of the square is 28 + 12x units.
Tara bought 30 books at a yard sale. She now has 220 books. Which equation can be solved to find b, the number of books Tara had before the yard sale?
To find the number of books Tara had before the yard sale, we can set up the equation:
b + 30 = 220
Here, b represents the number of books Tara had before the yard sale. Adding 30 to this quantity gives us the total number of books Tara now has (220).
Which is the least common multiple of 12 and 8?
To find the least common multiple (LCM) of 12 and 8, we can list the multiples of each number and find the smallest multiple that they have in common.
Multiples of 12: 12, 24, 36, 48, 60, 72, 84, 96, ...
Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, ...
From the lists above, we can see that the smallest multiple that 12 and 8 have in common is 24.
Therefore, the LCM of 12 and 8 is 24.
Cassie has a wood board that is 3/4
foot long. She wants to cut the board into pieces that are 1/8
foot long. Which expression will help Cassie find how many pieces she can cut?
To find the number of pieces Cassie can cut from the wood board, we need to divide the length of the board by the length of each piece.
The length of the wood board is given as 3/4 foot.
The length of each piece is given as 1/8 foot.
To find how many pieces Cassie can cut, we can use the following expression:
(3/4)/(1/8)
This expression represents the division of the length of the wood board by the length of each piece.
To divide fractions, we can multiply the numerator of the first fraction by the reciprocal of the second fraction:
(3/4) * (8/1)
Multiplying the numerators gives us:
24/4
Simplifying the fraction gives us:
6
Therefore, Cassie can cut 6 pieces from the wood board.
What does the star represent?
I apologize for any confusion caused. Could you please provide more context or specify which star you are referring to?
The one you used in the equation:
(3/4) * (8/1)
In the equation (3/4) * (8/1), the star (*) represents the multiplication operation. It is a common symbol used to denote multiplication in mathematical expressions or equations.
oh alr it was wrong anyway
I apologize for any confusion. If the equation (3/4) * (8/1) was incorrect or not applicable in the given context, please let me know the correct equation or provide more details so that I can assist you further.
Which situation can be described using a negative integer?
A. A football player lost 5 yards during a play.
B. Meg deposited $42 into her checking account.
C. James climbed 6 flights of stairs.
D. Luis moved forward 18 spaces on the board game.
A. A football player lost 5 yards during a play.
This situation can be described using a negative integer because the football player lost yards, which can be represented by a negative value.
Which is the coefficient in the expression 7x + 14
?
In the expression 7x + 14, the coefficient is the numerical value that multiplies the variable x.
Therefore, the coefficient in the expression 7x + 14 is 7.
The number 18 is which percent of 15?
To find what percent 18 is of 15, we can use the formula:
(18/15) * 100
By dividing 18 by 15 and then multiplying by 100, we can find the percentage:
(18/15) * 100 = 120
Therefore, 18 is 120% of 15.
What is the value of 3b2−b
when b = 5?
To find the value of 3b^2 - b when b = 5, we substitute b = 5 into the expression:
3(5)^2 - 5
First, we evaluate the exponent:
3(25) - 5
Next, we perform the multiplication:
75 - 5
Finally, we perform the subtraction:
70
Therefore, when b = 5, the value of 3b^2 - b is 70.
Why are we here?
The question of why we are here is a philosophical and existential one that has been pondered by humans for centuries. Different individuals and belief systems offer various explanations and perspectives on the purpose and meaning of life. Some may find meaning in religious or spiritual beliefs, while others may seek purpose through personal fulfillment, relationships, contributions to society, or the pursuit of knowledge and understanding. The answer to this question can be subjective and vary from person to person based on their experiences, beliefs, and values.
Jacob and Mark started taking a test at the same time. Jacob finished his test 10 minutes before Mark. Which equation represents the time, j, Jacob spent on the test compared to the time, m, Mark spent on the test?
Since Jacob finished his test 10 minutes before Mark, we can say that Jacob spent m - 10 minutes on the test.
Therefore, the equation that represents the time, j, Jacob spent on the test compared to the time, m, Mark spent on the test is:
j = m - 10
Which group of ordered pairs are on the line given by the equation 5x−2y=6?
To find a group of ordered pairs that are on the line given by the equation 5x - 2y = 6, we can choose various x-values, plug them into the equation, and solve for y to find the corresponding y-values.
Let's choose three x-values (let's say -2, 0, and 2) and solve for y:
For x = -2:
5(-2) - 2y = 6
-10 - 2y = 6
-2y = 16
y = -8
Therefore, one ordered pair on the line is (-2, -8).
For x = 0:
5(0) - 2y = 6
-2y = 6
y = -3
Therefore, another ordered pair on the line is (0, -3).
For x = 2:
5(2) - 2y = 6
10 - 2y = 6
-2y = -4
y = 2
Therefore, a third ordered pair on the line is (2, 2).
Hence, the group of ordered pairs on the line given by the equation 5x - 2y = 6 is (-2, -8), (0, -3), and (2, 2).
Mala ran 30 laps in week one and will increase the number of laps she runs by 2 each week. Coby runs 16 laps in week one and will increase the number of laps he runs by 5 each week. Assuming the pattern shown in this table continues, in how many weeks will Coby be running more laps each week than Mala?
To find out in how many weeks Coby will be running more laps each week than Mala, we can create a table and compare the number of laps they run week by week.
Week | Mala's laps | Coby's laps
1 | 30 | 16
2 | 32 | 21
3 | 34 | 26
4 | 36 | 31
5 | 38 | 36
From the table, we see that Coby will be running more laps each week than Mala in Week 5. Therefore, in 5 weeks, Coby will be running more laps each week than Mala.
Solve. 21r<7
To solve the inequality 21r < 7, we can divide both sides of the inequality by 21. However, since 21 is a positive number, the direction of the inequality symbol remains the same.
(21r)/21 < 7/21
Simplifying, we get:
r < 1/3
Therefore, the solution to the inequality is r is less than 1/3.
Which is the mode of this data set?
55, 78, 43, 39, 78, 61, 75, 50, 43, 78