Answer:
<h2>3 + 4(n - 1)</h2>
Step-by-step explanation:
let r be the common differenc of the sequence
Term 12 - Term 7 = (12 - 7)r
then
47 - 27 = 5r
then
20 = 5r
then
r = 4
term 7 = term 1 + (7 - 1)r
then
27 = term 1 + 6r = term 1 + 24
then
Term1 = 27 - 24 = 3
<em><u>therefore </u></em>
the standard explicit formula of the sequence is :
term 1 + (n - 1)r = 3 + 4(n - 1)
Answer:
(-4;2)
Step-by-step explanation:
1. if y=1/2 x+4, then 2y=x+8; it is possible to re-write as x-2y+8=0;
2. if x+4y=4, it is possible to re-write it as x+4y-4=0;
3. if x-2y+8=0 and x+4y-4=0, then x-2y+8=x+4y-4; ⇒ -2y+8=4y-4; ⇒ 6y=12; ⇔ y=2.
4. if y=2, then it is possible to substitute its value into any equation given in the condition:
x+4y=4 (substitution y=2); ⇒ x+8=4; ⇒ x= -4.
5. finally x= -4; y=2. It means (-4;2)
PS. the suggested solution is not the only way to resolve this task.
Answer:
Yes
Step-by-step explanation:
Radius = 2÷2 = 1
Volume of sphere
= (4/3)×3.14×1³ = 314/75 in³
(4.18666767 in³)
Volume of cone
= ⅓×3.14×1²×5 = 157/30 in³
(5.2333333 in³)
Since the volume of cone is greater than the scoop, it will be able to hold melted icecream
Answer:
1/10
Step-by-step explanation:
The answer is 1/10 because multiply the numerator and got 2 and then the denomi actors and got 20.
So it would be 2/20.
Then you simplify 2/20 to 1/10
2÷2=1
20÷2÷10
Then you get 1/10.
Hope i helped
Answer:
the slope to the line perpendicular to the original equation is 
the slope to the given equation is
i hope this helps! :)
Step-by-step explanation:
given 8x - 3y = -1
move the 8x over to the other side making the 8x a negative -3y = -8x -1
divide everything by 3 -y = 
transfer the negative from the y to everything else y = 
the slope is
pic below to show the lines are the same to all the equations
what is the slope of the line perp. to the original equation?
with every slope in an equation you flip the reg. slope around so you have 
to 
