Question
Evaluate the expression for p = 2, q = 4.9, and r = 3.5.
Write your answer as a decimal or whole number.
pqr
Write your answer as a decimal or whole number.
pqr
Answers
GPT-4o mini
To evaluate the expression \( pqr \) given the values \( p = 2 \), \( q = 4.9 \), and \( r = 3.5 \), we simply multiply the three numbers together:
\[
pqr = 2 \times 4.9 \times 3.5
\]
First, we calculate \( 2 \times 4.9 \):
\[
2 \times 4.9 = 9.8
\]
Next, we multiply the result by \( 3.5 \):
\[
9.8 \times 3.5 = 34.3
\]
Thus, \( pqr = 34.3 \).
The final answer is:
\[
\boxed{34.3}
\]
\[
pqr = 2 \times 4.9 \times 3.5
\]
First, we calculate \( 2 \times 4.9 \):
\[
2 \times 4.9 = 9.8
\]
Next, we multiply the result by \( 3.5 \):
\[
9.8 \times 3.5 = 34.3
\]
Thus, \( pqr = 34.3 \).
The final answer is:
\[
\boxed{34.3}
\]
Evaluate the expression for h = –1.4, j = –17, and k = –14.8.
Write your answer as a decimal or whole number.
hj − j + k =
Write your answer as a decimal or whole number.
hj − j + k =
GPT-4o mini
To evaluate the expression \( hj - j + k \) with the given values \( h = -1.4 \), \( j = -17 \), and \( k = -14.8 \), we will calculate each part step by step.
1. Calculate \( hj \):
\[
hj = (-1.4) \times (-17) = 23.8
\]
2. Now substitute this result into the expression:
\[
hj - j + k = 23.8 - (-17) + (-14.8)
\]
3. Simplify \( -(-17) \) to \( +17 \):
\[
= 23.8 + 17 - 14.8
\]
4. Next, calculate \( 23.8 + 17 \):
\[
= 40.8
\]
5. Finally, subtract \( 14.8 \) from \( 40.8 \):
\[
40.8 - 14.8 = 26
\]
Thus, the final answer is:
\[
\boxed{26}
\]
1. Calculate \( hj \):
\[
hj = (-1.4) \times (-17) = 23.8
\]
2. Now substitute this result into the expression:
\[
hj - j + k = 23.8 - (-17) + (-14.8)
\]
3. Simplify \( -(-17) \) to \( +17 \):
\[
= 23.8 + 17 - 14.8
\]
4. Next, calculate \( 23.8 + 17 \):
\[
= 40.8
\]
5. Finally, subtract \( 14.8 \) from \( 40.8 \):
\[
40.8 - 14.8 = 26
\]
Thus, the final answer is:
\[
\boxed{26}
\]
Evaluate the expression for g = –3.8 and h = 3.
Write your answer as a decimal or whole number.
gh2 − 1 =
Write your answer as a decimal or whole number.
gh2 − 1 =
GPT-4o mini
To evaluate the expression \( gh^2 - 1 \) with the given values \( g = -3.8 \) and \( h = 3 \), we will proceed step by step.
1. Calculate \( h^2 \):
\[
h^2 = 3^2 = 9
\]
2. Now substitute \( h^2 \) into the expression:
\[
gh^2 - 1 = g \cdot 9 - 1
\]
3. Substitute \( g = -3.8 \):
\[
= -3.8 \cdot 9 - 1
\]
4. Calculate \( -3.8 \cdot 9 \):
\[
-3.8 \cdot 9 = -34.2
\]
5. Finally, subtract 1:
\[
-34.2 - 1 = -35.2
\]
Thus, the final answer is:
\[
\boxed{-35.2}
\]
1. Calculate \( h^2 \):
\[
h^2 = 3^2 = 9
\]
2. Now substitute \( h^2 \) into the expression:
\[
gh^2 - 1 = g \cdot 9 - 1
\]
3. Substitute \( g = -3.8 \):
\[
= -3.8 \cdot 9 - 1
\]
4. Calculate \( -3.8 \cdot 9 \):
\[
-3.8 \cdot 9 = -34.2
\]
5. Finally, subtract 1:
\[
-34.2 - 1 = -35.2
\]
Thus, the final answer is:
\[
\boxed{-35.2}
\]
Evaluate the expression for j = –5 and k = –1.9.
Write your answer as a decimal or whole number.
j2k + k =
Write your answer as a decimal or whole number.
j2k + k =
GPT-4o mini
To evaluate the expression \( j^2k + k \) with the given values \( j = -5 \) and \( k = -1.9 \), we will follow these steps:
1. Calculate \( j^2 \):
\[
j^2 = (-5)^2 = 25
\]
2. Now substitute \( j^2 \) into the expression:
\[
j^2k + k = 25k + k
\]
3. Combine the terms:
\[
= 25k + k = 26k
\]
4. Substitute \( k = -1.9 \):
\[
= 26 \times (-1.9)
\]
5. Perform the multiplication:
\[
26 \times (-1.9) = -49.4
\]
Thus, the final answer is:
\[
\boxed{-49.4}
\]
1. Calculate \( j^2 \):
\[
j^2 = (-5)^2 = 25
\]
2. Now substitute \( j^2 \) into the expression:
\[
j^2k + k = 25k + k
\]
3. Combine the terms:
\[
= 25k + k = 26k
\]
4. Substitute \( k = -1.9 \):
\[
= 26 \times (-1.9)
\]
5. Perform the multiplication:
\[
26 \times (-1.9) = -49.4
\]
Thus, the final answer is:
\[
\boxed{-49.4}
\]
Evaluate the expression for v = 5, w = –1.3, and x = –14.3.
Write your answer as a decimal or whole number.
vw2 − x =
Write your answer as a decimal or whole number.
vw2 − x =
GPT-4o mini
To evaluate the expression \( vw^2 - x \) with the given values \( v = 5 \), \( w = -1.3 \), and \( x = -14.3 \), we will follow these steps:
1. Calculate \( w^2 \):
\[
w^2 = (-1.3)^2 = 1.69
\]
2. Now substitute \( w^2 \) into the expression:
\[
vw^2 - x = v \cdot w^2 - x
\]
Substituting \( v = 5 \) and \( w^2 = 1.69 \):
\[
= 5 \cdot 1.69 - x
\]
3. Calculate \( 5 \cdot 1.69 \):
\[
5 \cdot 1.69 = 8.45
\]
4. Now substitute \( x = -14.3 \):
\[
= 8.45 - (-14.3)
\]
5. Simplify the expression:
\[
= 8.45 + 14.3 = 22.75
\]
Thus, the final answer is:
\[
\boxed{22.75}
\]
1. Calculate \( w^2 \):
\[
w^2 = (-1.3)^2 = 1.69
\]
2. Now substitute \( w^2 \) into the expression:
\[
vw^2 - x = v \cdot w^2 - x
\]
Substituting \( v = 5 \) and \( w^2 = 1.69 \):
\[
= 5 \cdot 1.69 - x
\]
3. Calculate \( 5 \cdot 1.69 \):
\[
5 \cdot 1.69 = 8.45
\]
4. Now substitute \( x = -14.3 \):
\[
= 8.45 - (-14.3)
\]
5. Simplify the expression:
\[
= 8.45 + 14.3 = 22.75
\]
Thus, the final answer is:
\[
\boxed{22.75}
\]