Answer and explanation:

(x + 6)(x + 7)
List the multiples of 42
42: 1 2 3 6 7 14 21 42
Then see which of the multiples add up to 13
1 x 42 = 42 --> 1 + 42
13
2 x 21 = 42 --> 2 + 21
13
3 x 14 = 42 --> 3 + 14
13
6 x 7 = 42 --> 6 + 7 = 13
Got me there but i think its 325500
Answer:

Step-by-step explanation:
Since, the surface area of a cylinder,
................(1)
Where,
r = radius,
h = height,
If 



( by middle term splitting )


By zero product property,
r = 3 or r = - 6 ( not possible )
Thus, radius, r = 3 meters,
Now, differentiating equation (1) with respect to t ( time ),

∵ h = constant, ⇒ dh/dt = 0,

We have,




Now,
Volume of a cylinder,

Differentiating w. r. t. t,

Answer:
1. single sample design
2. matched pairs
3. two independent samples.
Step-by-step explanation:
the response variable is known as the dependent variable, it is the variable that the researcher is interested i finding. the response variable is the x variable that responds to changes in the independent variable.
1.
In this question the researcher has only one sample that is the specimen. that is the reference specimen that she obtained. Therefore it is a single sample design.
the response variable here is the measurement of concentration.
2. In this question we have two pairs, men and women. The researcher is interested in comparing attitudes as she interviews them. so response variable is attitude or behavior
3. this is a 2 independent sample design. The researcher is using two different methods to test and their average is being compared.
Answer:
{8 cm, 15 cm, 17 cm}
Step-by-step explanation:
we know that
The length sides of a right triangle must satisfy the Pythagoras Theorem
so

where
c is the greater side (the hypotenuse)
a and b are the legs (perpendicular sides)
<u><em>Verify each case</em></u>
case 1) we have
{5 cm, 15 cm, 18 cm}
substitute in the formula

----> is not true
therefore
Sean cannot make a right triangle with this set of lengths
case 2) we have
{6 cm, 12 cm, 16 cm}
substitute in the formula

----> is not true
therefore
Sean cannot make a right triangle with this set of lengths
case 3) we have
{5 cm, 13 cm, 15 cm}
substitute in the formula

----> is not true
therefore
Sean cannot make a right triangle with this set of lengths
case 4) we have
{8 cm, 15 cm, 17 cm}
substitute in the formula

----> is true
therefore
Sean can make a right triangle with this set of lengths