Answer:
Combination
Step-by-step explanation:
Here by 10C7 we actually mean, 
And the formula for evaluating mCn is
Therefore
10C7 =
Where m! is called m factorial and can be evaluated as
m!= m*(m-1)*(m-2)*(m-3)*.......3*2*1
Hence
10!= 10*9*8......*3*2*1
7!= 7*8*6.....3*2*1
3!=3*2*1
With these we can evaluate
10C7
Hence the answer is D
Answer:
she can make 16 batches
Step-by-step explanation: simply multiply 5 by 3 and add 1(for the fraction)
(-1,1) (6,9)
distance = root (x1-x2)²+(y1-y2)²
so root (-1-6)²+(1-9)²= root 113 or 10.6 ≈11
the answer is B. 11.18 units
Like terms
<span>D) Terms that have identical variable parts.</span>
An equation has the following parts:
1) Coefficient
2) Variable
3) Operator
4) Constants
4x + 3 = 11
4 is the coefficient
x is the variable
3 and 11 are the constants
4x - 3x + 8x ⇒ like terms ; they have identical variable parts, x.
Answer:
1/10 per sec
Step-by-step explanation:
When he's walked x feet in the eastward direction, the angle Θ that the search light makes has tangent
tanΘ = x/18
Taking the derivative with respect to time
sec²Θ dΘ/dt = 1/18 dx/dt.
He's walking at a rate of 18 ft/sec, so dx/dt = 18.
After 3seconds,
Speed = distance/time
18ft/sec =distance/3secs
x = 18 ft/sec (3 sec)
= 54ft. At this moment
tanΘ = 54/18
= 3
sec²Θ = 1 + tan²Θ
1 + 3² = 1+9
= 10
So at this moment
10 dΘ/dt = (1/18ft) 18 ft/sec = 1
10dΘ/dt = 1
dΘ/dt = 1/10 per sec
