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kodGreya [7K]
3 years ago
11

Recall that an integer 'd' is said to be a divisor of an integer 'a', if 'a/d' is also an integer. For how many integers 'a' bet

ween -200 and -1 inclusive is the product of the divisors of a negative?
Mathematics
1 answer:
Pepsi [2]3 years ago
3 0

Answer:

The integers are -1,-2,-4,-5,-8,-10,-20,-25,-40,-50,-100,-200

Step-by-step explanation:

Step1. To get negative integers between -200 and -1, obtain the factors of -200,that is negative numbers that can divide -200 without a remainder. Whatever negative number that can divide -200 are the required integers.

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What is the simplified form of the expression 5d^6 x d^-12
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Simplified Form: \frac{5}{d^6}
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A valve in a full 6000 gallon water tank is slowly opening. Water flows out of the tank through the valve. The flow rate in gall
Wittaler [7]
The volume of the gallon is 6000 gallon
the rate of water flow per min is f(t)=300t^2
a] amount of water that flowed in the first 7 minutes=7/60 hours will be:
f(7)=300(7/60)^2
solving the above we get
f(7)=7/12 gallons

b] The time taken for the tank to be empty will be as follows:
amount of water that will flow out for the tank to be empty will be 6000 gallons
thus,
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3 years ago
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On March 9, 2018, NCAA fans across the world were shocked when the Retrievers of the University of Maryland, Baltimore County (U
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Answer:

UMBC scored 10,14 and 12 one - point free throws, two point baskets and three point baskets respectively.

Step-by-step explanation:

Let's start defining the variables.

X : ''Number of 1 - point free throws''

Y : ''Number of 2 - point baskets''

Z : ''Number of 3 - point baskets''

UMBC scored a total of 74 points. Therefore,

X.1+Y.2+Z.3=74 (I)

Where X.1 represents the total points from 1 - point free throws.

Where Y.2 represents the total points from 2 - point baskets.

And finally Z.3 represents the total points from 3 - point baskets.

Reading the exercise, we can write two more equations :

Y=Z+2\\Z=X+2

Let's write Y and X in terms of Z

Y=Z+2 (II)

Z=X+2 ⇒ X=Z-2 (III)

Replacing (II) and (III) in (I) :

(Z-2).1+(Z+2).2+Z.3=74

Z-2+2Z+4+3Z=74

6Z+2=74\\6Z=72\\Z=12

We find that the variable Z is 12. Replacing this value in (II) and (III) ⇒

Y=12+2=14\\Y=14

X=12-2=10\\X=10

Finally, UMBC scored 10 baskets from 1 - point free throws,14 baskets from of 2 - point and 12 baskets of 3 - point.

We can verify by replacing X = 10 , Y = 14 and Z = 12 in equation (I) :

10.1+14.2+12.3=74\\10+28+36=74\\74=74

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3 years ago
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Ruben is collecting cans for the recycling contest at school. He makes two plans to try to collect the most cans.
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The tires on a new compact car have a diameter of 2.0 ft and are warranted for 63,000 miles. (a) Determine the angle (in radians
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Answer:

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4 years ago
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