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WARRIOR [948]
3 years ago
14

What number best represents the temperature in Anchorage Alaska of below 12 degrees

Mathematics
1 answer:
Sliva [168]3 years ago
8 0
To answer this question, you
would need to understand that if it is a temperature below 12°, this is below 0° making it a negative value. You would show this as -12°.
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Find the positive base $b$ in which the equation $5_b \cdot 23_b = 151_b$ is valid.
DanielleElmas [232]

Answer:

b=7

Step-by-step explanation:

We want to determine the positive base b in which:

5_b \cdot 23_b = 151_b

The easiest way to approach this is to convert all the numbers to base 10.

5_b=5Xb^0=5\\23_b =(2Xb^1)+(3Xb^0)=2b+3\\151_b=(1Xb^2)+(5Xb^1)+(1Xb^0)=b^2+5b+1\\Therefore:\\5_b \cdot 23_b = 151_b\\5(2b+3)=b^2+5b+1\\10b+15=b^2+5b+1\\b^2+5b+1-10b-15=0

b^2-5b-14=0

Next, we factorize the resulting expression.

b^2-5b-14=b^2-7b+2b-14=0\\b(b-7)+2(b-7)=0\\(b-7)(b+2)=0\\b-7=0\: or \: b+2=0\\b=7\: or \: b=-2

The positive value of b for which the equality hold is 7.

3 0
3 years ago
How many distinguishable 11 letter​ "words" can be formed using the letters in MISSISSIPPI​?
SCORPION-xisa [38]
This is given by the multinomial coefficient:

\dbinom{11}{1,4,4,2}=\dfrac{11!}{1!4!4!2!}=34650

If you're not familiar with the multinomial coefficient, you may be able to see it more clearly if you count the number of possible combinations taking each distinct letter n times, where n is the number of times it shows up in the original word.

\underbrace{\dbinom{11}1}_{\text{M}}\underbrace{\dbinom{10}4}_{\text{I}}\underbrace{\dbinom64}_{\text{S}}\underbrace{\dbinom22}_{\text{P}}=\dfrac{11!}{1!10!}\dfrac{10!}{4!6!}\dfrac{6!}{4!2!}\dfrac{2!}{2!0!}=\dfrac{11!}{1!4!4!2!}
4 0
3 years ago
this is due today help please!!!!!! A study involving middle-aged adults was designed to determine the relationship between the
IceJOKER [234]
The answer should be c because the independent variable should not be manipluated. 
4 0
3 years ago
Thời gian để sản xuất một sản phẩm loại A là một BNN tuân theo luật phân phối chuẩn với các tham số m = 15 và s= 2 (đơn vị là ph
ser-zykov [4K]

Answer:

A= -u²n²t²s²arme²

Step-by-step explanation:

Evaluate m, then set it equal to 15.

=15

Evaluate s, the set it equal to 2.

=2

Simplify unitsareminutes.

−u²n²t²s²arme²

List all the solutions.

BN•N=BN²

m=15 ==15

s=2 2==2

8 0
3 years ago
Sylvie is going on vacation. She has already driven 58 miles in one hour. If she then travels for 6 hours at an average speed of
Vlada [557]

The answer would be 360 miles

8 0
3 years ago
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