Answer:
Step-by-step explanation:
6). Surface area of a triangular prism = Area of the triangular bases + (Perimeter of the triangular base)×height
Area of one triangular base =
= 
= 6 km²
Perimeter of the triangular base = (4 + 3 + 5)
= 12 km
Height of the triangular prism = 7 km
Surface area of the given triangular prism = 2(6) + (12)(7)
= 12 + 84
= 96 km²
7). Surface area of a rectangular prism = 2(lb + bh + hl)
Here, l = Length, b = Width and h = Height
By substituting the values from the given question,
l = 9 in, b = 9 in, h = 4 in
Surface area of the rectangular prism = 2(9×9 + 9×4 + 4×9)
= 2(81 + 36 + 36)
= 2(153)
= 306 in²
$9.49; 10% of $9.95 is $0.995 which rounds up to a dollar; $9.95 - $1.00 = $8.95; 6% of $8.95 = $0.537 which rounds up to $0.54, so total paid is $8.95 + $0.54 = $9.49.
Answer:
x is less than or equal to 4
Step-by-step explanation:
One way to test this is by using the equation for Ken on Maureen. Let's say in the first hour,
f(t) = 200(0.976)^1 = 195.2 mg
In the second hour,
f(t) = 200(0.976)^2 = 190.52 mg
In the third hour,
f(t) = 200(0.976)^3 = 186 mg
If you compare this with Maureen's data which is 150, 90 and 54 for the first, second and third hour, respectively, you will see that Maureen's rate is much faster. However, you cannot tell by what factor because the function is exponential, not a multiple. There is no constant difference between their rates. Therefore, we only know that Maureen's rate is much faster.
The answer is <span>Maureen's body eliminated the antibiotic faster than Ken's body.</span>
Y - y₁ = m(x - x₁)
y - 3 = -2¹/₄(x - 4)
y - 3 = -2¹/₄(x) + 2¹/₄(4)
y - 3 = -2¹/₄x - 9
+ 3 + 3
y = -2¹/₄x - 6