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3 years ago

How many four-digit positive integers are multiples of 3?

Mathematics

1 answer:

Musya8 [376]3 years ago

7 0

Answer:

3000

Step-by-step explanation:

There are 9000 positive 4-digit numbers (all between 1000 and 9999, inclusive). 1/3 of those are multiples of 3, so there are ...

3000 four-digit multiples of 3

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Is quadrilateral ABCD a square? Show your work.

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Answer:

yes

Step-by-step explanation:

yes, the slope and distance from each side is equal to another

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The recycling center collected 48,000 ounces of

Leona [35]

Answer: 1.5 tons

Step-by-step explanation:

Given

The recycling center collected 48,000 ounces of aluminum can

An ounce is the unit of weight and it can be expressed in tons as

$1\ \text{ounce}=3.125\times 10^{-5}\ \text{tons}$

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2 years ago

F(t)=t^2+19t+60<br> What are the zeros of the function and what is the vertex of the parabola?

SVEN [57.7K]

Answer: $-4,-15;\ \left(-\dfrac{19}{2},-\dfrac{121}{4}\right)$

Step-by-step explanation:

Given

Function is $F(t)=t^2+19+60$

Zeroes of the function are

$t^2+19t+60=0\\\\\Rightarrow t=\dfrac{-19\pm\sqrt{19^2-4\times 1\times 60}}{2\times 1}\\\\\Rightarrow t=\dfrac{-19\pm \sqrt{121}}{2}\\\\\Rightarrow t=\dfrac{-19\pm 11}{2}\\\\\Rightarrow t=-4,-15$

Using completing the square method

$y=t^2+2\times \dfrac{19}{2}t+\dfrac{19^2}{2^2}-\dfrac{19^2}{2^2}+60\\\\y=\left(t+\dfrac{19}{2}\right)^2+60-\dfrac{361}{4}\\\\y=\left(t+\dfrac{19}{2}\right)^2-\dfrac{121}{4}\\\\y+\dfrac{121}{4}=\left(t+\dfrac{19}{2}\right)^2\\\\\left(y-(-\dfrac{121}{4}\right)=\left(t-(-\dfrac{19}{2})\right)^2\\\\\text{The vertex is }\left(-\dfrac{19}{2},-\dfrac{121}{4}\right)$

4 0

2 years ago

How to solve this problem

ANTONII [103]

Answer:

B: (2, -1)

Step-by-step explanation:

1) First isolate the y in both equations

2) Set the equations equal to each other

3) Solve for x (you should get 2 and 5)

4) Insert the x values back in to get your y values

5) You should have gotten (2, -1) and (5, 2)

These are your two answers, but the question is only asking for one solution and (5,2) isn't one of the options, so it has to be (2,-1).

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3 years ago