Answer:
y intercept is 13
Step-by-step explanation:
y - 3 = 2(x + 5)
To find the y intercept, let x=0 and solve for y
y - 3 = 2(0 + 5)
y - 3 = 2(5)
y -3 =10
y-3+3 = 10+3
y = 13
Answer:
V = (1/3)πr²h
Step-by-step explanation:
The volume of a cone is 1/3 the volume of a cylinder with the same radius and height.
Cylinder Volume = πr²h
Cone Volume = (1/3)πr²h
where r is the radius (of the base), and h is the height perpendicular to the circular base.
_____
<em>Comment on area and volume in general</em>
You will note the presence of the factor πr² in these formulas. This is the area of the circular base of the object. That is, the volume is the product of the area of the base and the height. In general terms, ...
V = Bh . . . . . for an object with congruent parallel "bases"
V = (1/3)Bh . . . . . for a pointed object with base area B.
This is the case for any cylinder or prism, even if the parallel bases are not aligned with each other. (That is, it works for oblique prisms, too.)
Note that the cone, a pointed version of a cylinder, has 1/3 the volume. This is true also of any pointed objects in which the horizontal dimensions are proportional to the vertical dimensions*. (That is, this formula (1/3Bh), works for any right- or oblique pyramid-like object.)
__
* in this discussion, we have assumed the base is in a horizontal plane, and the height is measured vertically from that plane. Of course, any orientation is possible.
Answer:
2,500 different sets
Step-by-step explanation:
According to the scenario, calculation of the given data are as follows,
Let 4-digit PIN code be WXYZ
As first digit is a prime number
So, W = 1, 2, 3, 5, 7
n(W) = 5
X and Y are number from 0 - 9
So, n(X) = 10 & n(Y) = 10
Z makes the whole number divisible by 2.
So, Z must even number
So, Z = 0,2,4,6,8 or n(Z) = 5
We can calculate the number of different sets by using following formula,
n(W) × n(X) × n(Y) × n(Z)
By putting the value, we get
5 × 10 × 10 × 5 = 2,500
Answer:

Step-by-step explanation:
Given the quotient: 
Step 1: Write
in improper fraction.

Therefore:

<u>Step 2:</u> Change the division sign to multiplication by taking the reciprocal of 7

Answer:
The answer is 6.79 dollars
Step-by-step explanation:
The answer is 6.79 dollars because 5 times 1 (she bought 5 eggs for 1 dollar each) + the added basket 1.79 equals $6.79