Volume is a measure if the amount of space occupied by that object, and every 3D shapes have volume. To find volume, you need three dimensions which are length, width, and height :D
Answer:
x=8
z=132
Step-by-step explanation:
We know that 6x and 4x+16 are vertical angles, so they are equal
6x= 4x+16
Subtract 4x from each side
6x-4x = 4x-4x+16
2x =16
Divide each side by 2
2x/2 =16/2
x =8
We also know that 6x and x form a straight line
6x+z = 180
6(8) + z =180
48+z =180
Subtract 48 from each side
48-48 +z =180-48
z = 132
Answer:
16ᵗʰ Term of the sequence is 1010
Step-by-step explanation:
7.)
Here,
First Term = a₁ = 5
Common Difference = d = 67
Now, For 16ᵗʰ term, n = 16
<em>aₙ = a + (n - 1)d</em>
a₁₆ = 5 + (16 - 1) 67
a₁₆ = 5 + 15 × 67
a₁₆ = 5 + 1005
a₁₆ = 1010
Thus, 16ᵗʰ Term of the sequence is 1010
<u>-TheUnknownScientist</u>
Answer:
f(-4) = 33
f(7) = -154
Step-by-step explanation:
In this question, you will solve the function by plugging in the given value.
Solve:
f(-4) = 7 - 2(-4) -3(-4)²
= 7 - 2(-4) - 48
= 7 + 8 - 48
= 7 - 40
f(-4) = 33
----------------------------------
f(7) = 7 - 2(7) -3(7)²
= 7 - 2(7) - 147
= 7 - 14 - 147
= 7 - 161
f(7) = -154
Answer: b. $22.75
Step-by-step explanation:
Given : A large pizza with no toppings costs $14.00. A large pizza with 2 toppings costs $17.50.
Let x denotes the number of toppings and y be the cost of that pizza.
Then, 
, m= cost per topping and c= cost of pizza without any topping.
From the given information.
c= $14
Function of cost becomes = 
For x= 2 and y= 17.50, we have
tex]3.50=m(2)[/tex] [Subtract 14 from both sides]
[Divide both sides by 2]
For c= 14 and m =1.75 , our function becomes.
Now, for x= 5
Hence, the cost of a pizza with 5 toppings = $22.75
