Afrozen yogurt shop offers 10 different flavors of yogurt and 15 different toppings. how
many double­dip sundae combinations can be created with 1 topping? one yogurt
flavor may be used for both dips.

The number of double dip sundae that can be created with 1 topping is:

                                     825

Step-by-step explanation:

Since, there are 10 different flavors and same flavor can be used for both the dips.

Also, there are a total of 15 different toppings.

Hence, the number of different double dip sundae that can be created with 1 topping is:

                                825

( Since, the order in which the two sundae are placed does not matter. Hence, we need to use the method of combination.

As denotes the number of ways of choosing of 2 different toppings from the 10 flavors and the addition 10 term represent the 10 cases case in which both the dips are of same flavor

Hence,

)

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2

step-by-step explanation:

given expression is .

now we need to simplify the given expression .

we know that square root is equivalent to the power 1/2. so that means we can take half of the exponents to get the square root of given expression.

expanding that will give a very very large number so let's keep answer in exponent form.