Answer:
Area of Parallelogram = 120 in square
Area of Trapezoid =21.25cm square
Step-by-step explanation:
For Parallelogram A=15in x 8in
= 120in square
For Trapezoid
A=1/2*5(6+2.5)
=2.5(8.5)
=21.25cm square
A=P(1+r)^t
r=rate in decimal
A=future amount
P=present amount
t=time in years
A=850(1+0.08)^5
A=850(1.08)^5
A=1573.29
C probably because a numerical expression uses numbers and does not have any equal signs at the end and it seems like the best answer
Answer:
28mph
Step-by-step explanation:
Let the speed at which Pat drives be xmph.
Now, we know John travels 32mph faster than Pat. Hence, John's speed is (x + 32)mph
The total distance is 440 miles.
Distance = Speed × Time
The distance traveled by each of them after 5 hours is given as follws;
Pat = 5 × x = 5x miles
John = 5(x + 32) miles
Now, if we add both distances, we get the total of 440 miles.
Hence, 5x + 5(x + 32) = 440
5x + 5x + 160 = 440
10x + 160 = 440
10x = 440 - 160 = 280
10x = 280
Hence, x = 280/10 = 28mph
Answer:
<em>Domain ⇒ All Real Numbers, Range ⇒ y < 0; Option D</em>
Step-by-step explanation:
Take a look at the procedure below;
First simplify f ( x ) = - 4 * ( 8 )^x, such that it is ⇒
f ( x ) = - 2^2 * 8^x,
f ( x ) = - 2^2 * ( 2^3 )^x,
f ( x ) = - 2^2 * 2^3x,
f ( x ) = - 2^2 + 3x,
Now if we take a look at the domain we can see that it has no undefined points nor domain constraints, thus;
- ∞ < x < ∞
However, the range of the function is present in the form - c * n^ax + b, where f ( x ) < k, and k = 0;
f ( k ) < 0, y < 0
<em>Solution; Domain ⇒ All Real Numbers, Range ⇒ y < 0; Option D</em>
