Answer:
Jo's age = x = 8 years
Step-by-step explanation:
Let
Jo's age = x
Jo's mother, Anne's age = 4x
In four years time, Anne will be three times as old as Jo.
Jo's age =3( x + 4)
Jo's mother, Anne's age = 4x + 4
How old is Jo?
Equate Jo's age and his mother's age
3(x + 4) = 4x + 4
3x + 12 = 4x + 4
3x - 4x = 4 - 12
-x = - 8
Divide both sides by -1
x = 8
Therefore,
Jo's age = x = 8 years
If you're just integrating a vector-valued function, you just integrate each component:


The first integral is trivial since
.
The second can be done by substituting
:

The third can be found by integrating by parts:



Answer:
81.12 cm²
Step-by-step explanation:
The area for a semicircle can be figured with this formula: (πr²)/2. The triangle's area formula is bh/2.
(3.14 * 4²)/2 + (14 * 8)/2 <em>(Work the operations in parentheses first.)</em>
(3.14 * 16)/2 + 112/2
50.24/2 + 112/2 (<em>Divide 50.24 by 2. Do the same for 112.)</em>
25.12 + 56 (<em>Add 25.12 & 56.)</em>
81.12 cm²
The area of the figure is 81.12 cm².
Answer: Su hermano tiene que estar dormido.
Step-by-step explanation:
Su is a possessive adjective and in this sentence estar English translates to be like he has to be sleeping meaning a guess a present tense guess
Answer: Y = 2 ; 3 ; 4
Step-by-step explanation:
Given the rule : y=1/4x + 1
X = 4, 8, 12
When x = 4
y = 1/4(4) + 1
y = 1 + 1
y = 2
When x = 8
y = 1/4(8) + 1
y = 8/4 + 1
y = 2 + 1
y = 3
When x = 12
y = 1/4(12) + 1
y = 12/4 + 1
y = 3 + 1
y = 4
Therefore ;
X - - - 4 - - - 8 - - - 12
Y - - - 2 - - - 3 - - - 4