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Kaylis [27]
2 years ago
7

Write the least common multiple of 16 and 24.

Mathematics
1 answer:
larisa [96]2 years ago
7 0
Hopes this helps:

Answer: 48
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There are three consecutive even integers. If twice the first integer added to the second is 268,244, find all three integers.
r-ruslan [8.4K]

Answer:

89414,89416,89418

Step-by-step explanation:

Let n bet the positive integer and then 2n is an even integer because multiplying n with 2 makes it an even integer.

Now, 2n+2, 2n+4 are the next integers.

Therefore, three consecutive integers are: 2n, 2n+2, 2n+4.

It is given that twice the first integer added to the second is 268,244 that means:

2(2n)+(2n+2)=268244

4n+2n+2=268244

6n=268242

n=44707

Therefore, three consecutive integers are:

2n=89414, 2n+2=89416, 2n+4=89418

8 0
3 years ago
Absalom states that 0 is a rational number. Which is a correct explanation for this statement? The number 0 is a whole number, w
lubasha [3.4K]
<span>0 is a natural number, which is part of the rational numbers.</span>
8 0
3 years ago
Read 2 more answers
Two objects were lifted by a machine. One object had a mass of 2 kilograms and was lifted at a speed of 2m/sec. the other had a
OLga [1]
Sadly, after giving all the necessary data, you forgot to ask the question.
Here are some general considerations that jump out when we play with
that data:

<em>For the first object:</em>
The object's weight is (mass) x (gravity) = 2 x 9.8 = 19.6 newtons
The force needed to lift it at a steady speed is 19.6 newtons.
The potential energy it gains every time it rises 1 meter is 19.6 joules.
If it's rising at 2 meters per second, then it's gaining 39.2 joules of
     potential energy per second.
The machine that's lifting it is providing 39.2 watts of lifting power.
The object's kinetic energy is 1/2 (mass) (speed)² = 1/2(2)(4) = 4 joules.

<em>For the second object:</em>
The object's weight is (mass) x (gravity) = 4 x 9.8 = 39.2 newtons
The force needed to lift it at a steady speed is 39.2 newtons.
The potential energy it gains every time it rises 1 meter is 39.2 joules.
If it's rising at 3 meters per second, then it's gaining 117.6 joules of
     potential energy per second.
The machine that's lifting it is providing 117.6 watts of lifting power.
The object's kinetic energy is 1/2 (mass) (speed)² = 1/2(4)(9) = 18 joules.

If you go back and find out what the question is, there's a good chance that
you might find the answer here, or something that can lead you to it.

4 0
3 years ago
.. pls help me....!!!!! Determine whether the point (-2,4) satisfy y&lt;3x+5,y=3x+5 or y &gt;3x+5..​
nasty-shy [4]

Answer:

y > 3\cdot x + 5

Step-by-step explanation:

Let A(x,y) = (-2,4) and y = 3\cdot x + 5. Now we evaluate the given function at x = -2:

y = 3\cdot x + 5 (1)

y = 3\cdot (-2)+5

y = -6 +5

y = -1

Which means that y is less than the y-component of A. Therefore, the right answer is y > 3\cdot x + 5.

7 0
3 years ago
Find the​ fourth-degree polynomial function with zeros 4​, -4, 4i ​, and -4i . Write the function in factored form.
Iteru [2.4K]

Given:

A fourth-degree polynomial function has zeros 4​, -4, 4i ​, and -4i .

To find:

The fourth-degree polynomial  function in factored form.

Solution:

The factor for of nth degree polynomial is:

P(x)=(x-a_1)(x-a_2)...(x-a_n)

Where, a_1,a_2,...,a_n are n zeros of the polynomial.

It is given that a fourth-degree polynomial function has zeros 4​, -4, 4i ​, and -4i. So, the factor form of given polynomial is:

P(x)=(x-4)(x-(-4))(x-4i)(x-(-4i))

P(x)=(x-4)(x+4)(x-4i)(x+4i)

P(x)=(x-4)(x+4)(x^2-(4i)^2)           [\because a^2-b^2=(a-b)(a+b)]

On further simplification, we get

P(x)=(x-4)(x+4)(x^2-4^2i^2)

P(x)=(x-4)(x+4)(x^2+16)                [\because i^2=-1]

Therefore, the required fourth degree polynomial is P(x)=(x-4)(x+4)(x^2+16).

6 0
3 years ago
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