Answer:
The value of k=1
So, Maura claim is incorrect. The value of k=1 and not k=1/2
Step-by-step explanation:
We need to determine the value of k if 
We are given:
Exponent rule, if bases are equal the exponents are equal
We can write 
Now since the base is same, i,e 2 so, the exponents will be same
So, the value of k=1
So, Maura claim is incorrect. The value of k=1 and not k=1/2
Answer:
Step-by-step explanation:
This is the answer. 20% of 890 =178
Answer: 11x
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Explanation:
Let L be the length of rectangle B
There are two copies of L (along the top and bottom of the rectangle). The vertical pairs of sides are both 7x each.
For the triangle, we have three sides of 12x since this is an equilateral triangle. All three sides are congruent for any equilateral triangle.
The perimeter of the triangle is
P = s1+s2+s3
P = 12x+12x+12x
P = 36x
The perimeter of the rectangle is
P = 2*L+2*W
P = 2L+2*7x
P = 2L+14x
Since both perimeters are the same, this means
perimeter of triangle = perimeter of rectangle
36x = 2L+14x
36x-14x = 2L+14x-14x
22x = 2L
2L = 22x
2L/2 = 22x/2
L = 11x
So the length of the rectangle, in terms of x, is 11x. This is the final answer.
Note: if we knew the value of x, then we could find the numeric value of the length for the rectangle. But since we don't know x, we leave it as 11x.
Answer:
The correct option is d. 0.60
Step-by-step explanation:
Consider the provided information.
At Mike’s favorite coffee shop, the coffee of the day is either a dark roast, a medium roast, or a light roast.
The coffee being a light roast is 0.15 and the probability of the coffee being a dark roast is 0.25.
Pr(Light roast) = 0.15
Pr(Dark roast) = 0.25
We need to find the probability of the coffee of the day not being a light roast or a dark roast on the next day that Mike visits the coffee shop.
Hence, the correct option is d. 0.60
