Answer:
B
Step-by-step explanation:
-5[ (x³+1)(x+4) ] = -5[ x³*(x+4) + 1*(x+4) ]
= -5 [ x³*x + x³*4 + 1*x + 1*4 ]
= -5 [ x⁴ + 4x³ + x + 4]
= -5*x⁴ + (-5)*4x³ + (-5)*x + (-5) * 4
= -5x⁴ - 20x³ - 5x - 20
To find volume of a cylinder, you must find the area of the base and multiply it by the height of the object.
V=Bh where B=area of the base. Since the base is a circle, we must find area of the circle. A=pi(r^2)
A=3.14(6^2) Since it gave us the diameter, we take half for radius. Solve A=3.14(36)
A= 113.04 square cm
Now to find volume.
V=113.04•11
V=1243.44 cubic cm
Now find volume of the cone on top.
V=1/3Bh again with B= area of the base (pi)(r^2)
Since the two objects share a base, we can use the area of the cylinder as above.
V=1/3(113.04)9
We have to do a little simple math to determine the height of just the cone. Total height is 20-11 height of the cylinder. The difference is 9.
V=1/3(113.04)9 multiply
V=339.12 cubic cm
Now add the two volumes together to find total volume.
Total V=1243.44+339.12
V=1582.56 cubic cm
The answer is ∠BED by vertical angles theorem.
Answer:
In $80.00 , we get 102 apples.
Step-by-step explanation:
As given, 8 pound apples costs = $20.00
so,
If we double the cost given , then we get double the times of apple given
⇒ we get 16 pound apple for = $40.00
Again, double the cost , gets double the apple
⇒ we get 32 pound apple for = $80.00
As,
1 pound= 16 ounces
⇒32 pound apple = 32×16 = 512 ounces
Now,
given that
1 apple = 5 ounces
⇒5 ounce = 1 apple
⇒1 ounce = 
apple
⇒512 ounces = ×512 = 102.4 ≈ 102 apples
∴ we get
In $80.00 , we get 102 apples.
Answer:
x = 6
y = -9
x = -25
Step-by-step explanation:
<u>1st Equation</u>
Step 1: Write out equation
3(4x - 3) - 19 = 8x - 4
Step 2: Solve
12x - 9 - 19 = 8x - 4
12x - 28 = 8x - 4
4x - 28 = -4
4x = 24
x = 6
<u>2nd Equation</u>
Step 1: Write out equation
-6y + 14 = 32 - 4y
Step 2: Solve
-2y + 14 = 32
-2y = 18
y = -9
<u>3rd Equation</u>
Step 1: Write out equation
-28 + 5 - 3x = 2 - 2x
Step 2: Solve
-23 - 3x = 2 - 2x
-23 = 2 + x
-25 = x
x = -25
