Answer:
y = 45
Step-by-step explanation:
y = k x^2
500 = k * 10^2
500 = k*100
k = 5
y = 5*x^2
x = 3
y = 5*3^2
y = 45
8^x = 2
8 is 2 cubed
So
2^3^x = 2
2^3x = 2
3x = 1
x = 1/3
Answer:
Explanation:
So you want to start by finding the area of the big square.
We know the width of the big square is 60cm. The length of the big square is
19
+
24
+
13
=
56
Big square
A
r
e
a
=
L
⋅
W
=
56
⋅
60
=
3360
Now let’s find the little square inside the bigger square. We see from the picture that the width is 34 and the length is 24cm. Using the same formula, we can find the area of the little square.
Little square
A
r
e
a
=
L
⋅
W
=
24
⋅
34
=
816
The area enclosed in the area of the big square minus the area of the little square.
3360
−
816
=
2544
So the area enclosed is
2544
c
m
2
Step-by-step explanation:
Answer:
She would make $734 in a work week if she sold $4,300 worth of merchandise.
Step-by-step explanation:
First, you should calculate the amount she would receive on comissions by multiplying the amount she sold for 8%:
$4,300*8%=$344
Now, you have to add the weekly salary plus the amount she receives for the comission on sales:
$390+$344=$734
According to this, the answer is that she would make $734 in a work week if she sold $4,300 worth of merchandise.
Answer:

Step-by-step explanation:
Given that a sphere has one diameter having endpoints (2,1,4) and (4,3,10)
We can find the mid point of these two points and that would be the centre
If we find distance between these two points that would be twice radius.
Distance = 2r = 
So radius = 
Centre of sphere = mid point of two points
= (3, 2, 7)
Using centre radius formula sphere has equation as
