The Thai Pepper has a hotness rating of 7.5×104
7.5
×
10
4
on the Scoville scale.
The Red Savina Habanero has a hotness rating of 4.6×105
4.6
×
10
5
on the Scoville scale.
How many times hotter is the Red Savina Habanero than the Thai Pepper?
(1 point)
Responses
Multiply (7.5×104)⋅(4.6×105)=(7.5×4.6)⋅(104+5)=34.5×109=3.45×1010
(
7.5
×
10
4
)
⋅
(
4.6
×
10
5
)
=
(
7.5
×
4.6
)
⋅
(
10
4
+
5
)
=
34.5
×
10
9
=
3.45
×
10
10
times hotter
Multiply open paren 7 point 5 times 10 to the 4th power close paren times open paren 4 point 6 times 10 to the 5th power close paren is equal to open paren 7 point 5 times 4 point 6 close paren times open paren 10 raised to the 4 plus 5 power close paren is equal to 34 point 5 times 10 to the 9th power is equal to 3 point 4 5 times 10 to the 10th power times hotter
Divide (4.6×105)(7.5×104)=4.67.5×105−4=0.613×101=6.13
(
4.6
×
10
5
)
(
7.5
×
10
4
)
=
4.6
7.5
×
10
5
−
4
=
0.613
×
10
1
=
6.13
times hotter
Divide (4.6×105)(7.5×104)=4.67.5×105−4=0.613×101=6.13
(
4.6
×
10
5
)
(
7.5
×
10
4
)
=
4.6
7.5
×
10
5
−
4
=
0.613
×
10
1
=
6.13
times hotter
Divide (7.5×104)(4.6×105)=7.54.6×104−5=1.63×101=16.3
(
7.5
×
10
4
)
(
4.6
×
10
5
)
=
7.5
4.6
×
10
4
−
5
=
1.63
×
10
1
=
16.3
times hotter
Divide (7.5×104)(4.6×105)=7.54.6×104−5=1.63×101=16.3
(
7.5
×
10
4
)
(
4.6
×
10
5
)
=
7.5
4.6
×
10
4
−
5
=
1.63
×
10
1
=
16.3
times hotter
Multiply (7.5×104)⋅(4.6×105)=(7.5×4.6)⋅(104⋅5)=34.5×1020=3.45×1021
(
7.5
×
10
4
)
⋅
(
4.6
×
10
5
)
=
(
7.5
×
4.6
)
⋅
(
10
4
⋅
5
)
=
34.5
×
10
20
=
3.45
×
10
21
Multiply open paren 7 point 5 times 10 to the 4th power close paren times open paren 4 point 6 times 10 to the 5th power close paren is equal to open paren 7 point 5 times 4 point 6 close paren times open paren 10 raised to the 4 times 5 power close paren is equal to 34 point 5 times 10 to the 20th power is equal to 3 point 4 5 times 10 to the 21th power
times hotter
Therefore, the Red Savina Habanero is approximately 6.13 times hotter than the Thai Pepper.