Answer:
Step-by-step explanation:
Y = mx + b
-1/2 x + 3y = -3
3y = 1/2 x -3
y = 1/6 x - 1
Where slope m = 1/ 6and y intercept b = -1
Answer:166.7 milliliters
Step-by-step explanation:
height(h)=13cm
Radius(r)=diameter ➗ 2
r=7 ➗ 2
r=3.5cm
π=3.14
Volume=(π x r^2 x h) ➗ 3
Volume=(3.14 x (3.5)^2 x 13) ➗ 3
Volume=(3.14x3.5x3.5x13) ➗ 3
Volume=500.045 ➗ 3
Volume=166.7cm^3
1 cm^3=1mL
Therefore 166.7cm^3=166.7mL
Answer:
492,800
Step-by-step explanation:
Given ith term of an arithmetic sequence as shown:
ai = a(i-1)+2
and a1 = 5
When i = 2
a2 = a(2-1)+2
a2 = a1+2
a2 = 5+2
a2 = 7
When i = 3
a3 = a(3-1)+2
a3 = a2+2
a3 = 7+2
a3 = 9
It can be seen that a1, a2 and a3 forms an arithmetic progression
5,7,9...
Given first term a1 = 5
Common difference d = 7-5= 9-7 = 2
To calculate the sum of the first 700 of the sequence, we will use the formula for finding the sum of an arithmetic sequence.
Sn = n/2{2a1+(n-1)d}
Given n = 700
S700 = 700/2{2(5)+(700-1)2}
S700 = 350{10+699(2)}
S700 = 350{10+1398}
S700 = 350×1408
S700 = 492,800
Therefore, the sum of the first 700 terms in the sequence is 492,800
Answer:
12
+ x³ + 6x² - 35x - 10
Step-by-step explanation:
(3x² - 5)(4x³ + 7x + 2)
Each term in the second factor is multiplied by each term in the first factor, that is
3x²(4x³ + 7x + 2) - 5(4x³ + 7x + 2) ← distribute parenthesis
= 12 + 21x³ + 6x² - 20x³ - 35x - 10 ← collect like terms
= 12 + x³ + 6x² - 35x - 10
Answer:
Can You Show more
Step-by-step explanation:
