To evaluate the given expression [tex]\( jk^2 + m \)[/tex] for [tex]\( j = 4 \)[/tex], [tex]\( k = 2.7 \)[/tex], and [tex]\( m = -10 \)[/tex], follow these steps:
1. Square the value of [tex]\( k \)[/tex]:
[tex]\[
k^2 = 2.7^2
\][/tex]
[tex]\[
2.7^2 = 7.29
\][/tex]
2. Multiply [tex]\( j \)[/tex] by [tex]\( k^2 \)[/tex]:
[tex]\[
j \times k^2 = 4 \times 7.29
\][/tex]
[tex]\[
4 \times 7.29 = 29.16
\][/tex]
3. Add [tex]\( m \)[/tex] to the previous result:
[tex]\[
jk^2 + m = 29.16 + (-10)
\][/tex]
[tex]\[
29.16 - 10 = 19.16
\][/tex]
Therefore, the value of the expression [tex]\( jk^2 + m \)[/tex] when [tex]\( j = 4 \)[/tex], [tex]\( k = 2.7 \)[/tex], and [tex]\( m = -10 \)[/tex] is:
[tex]\[
19.16
\][/tex]