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swat32
3 years ago
10

2,072 divided by 86 show work

Mathematics
1 answer:
PtichkaEL [24]3 years ago
3 0
First, set up long division like so;
     ____
86|2072

Calculate 207 divided by 86, which is 2 with a remainder of 35.   
          2
     ____
86|2072
     172
     ------
       35

Bring down the 2.
          2   
     ____
86|2072
     172
     ------  
       352

Calculate 352 divided by 86, which is 4 with a remainder of 8
          24
     ____
86|2072 
     172
     ------
       352
       344
      -------
            8

Therefore, 2072 divided by 86 is equal to 24 with a remainder of 8.

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Does cold salty water sink or rise along the ocean floor as deep as a current​
rewona [7]

Answer:

In cold regions, such as the North Atlantic Ocean, ocean water loses heat to the atmosphere and becomes cold and dense. When ocean water freezes, forming sea ice, salt is left behind causing surrounding seawater to become saltier and denser. Dense-cold-salty water sinks to the ocean bottom.

Step-by-step explanation:

7 0
3 years ago
Explain the steps to finding the vertex of g(x) = 3x2 + 12x + 15
RUDIKE [14]

Answer:

The vertex of this parabola, (-2, 3), can be found by completing the square.

Step-by-step explanation:

The goal is to express this parabola in its vertex form:

g(x) = a\, (x - h)^2 + k,

where a, h, and k are constants. Once these three constants were found, it can be concluded that the vertex of this parabola is at (h,\, k).

The vertex form can be expanded to obtain:

\begin{aligned}g(x)&= a\, (x - h)^2 + k \\ &= a\, \left(x^2 - 2\, x\, h + h^2\right) + k = a\, x^2 - 2\, a\, h\, x + \left(a\,h^2 + k\right)\end{aligned}.

Compare that expression with the given equation of this parabola. The constant term, the coefficient for x, and the coefficient for x^2 should all match accordingly. That is:

\left\lbrace\begin{aligned}& a = 3 \\ & -2\,a\, h = 12 \\& a\, h^2 + k = 15\end{aligned}\right..

The first equation implies that a is equal to 3. Hence, replace the "a\!" in the second equation with 3\! to eliminate \! a:

(-2\times 3)\, h = 12.

h = -2.

Similarly, replace the "a" and the "h" in the third equation with 3 and (-2), respectively:

3 \times (-2)^2 + k = 15.

k = 3.

Therefore, g(x) = 3\, x^2 + 12\, x + 15 would be equivalent to g(x) = 3\, (x - (-2))^2 + 3. The vertex of this parabola would thus be:

\begin{aligned}&(-2, \, 3)\\ &\phantom{(}\uparrow \phantom{,\,} \uparrow \phantom{)} \\ &\phantom{(}\; h \phantom{,\,} \;\;k\end{aligned}.

8 0
3 years ago
Rewrite the equation by completing the square.<br> 4x2 + 28x + 49 = 0<br> (x+) =
Vlada [557]

Answer: x = - 3.5

Step-by-step explanation:

Rewrite the equation by completing the square.

4x2 + 28x + 49 = 0

Completing the square method :

Divide through by the Coefficient of x^2

x^2 + 7x + (49/4) = 0

a = 1, b = 7, c = 49/4

Move c to the right side of the equation

x^2 + 7x = - 49/4

Complete the square on the left hand side by squaring its half of the x term

(7/2)^2 = (49/4)

Add the output to both sides of the equation

x^2 + 7x + (49/4) = - (49/4) + (49/4)

(x + 7/2)^2 = 0

Square root of both sides

x + 7/2 = 0

x = - 7/2

x = - 3.5

4 0
3 years ago
What is the value of x?<br><br> a. 25<br> b. 12<br> c. 7<br> d. 5
s2008m [1.1K]
A^2+b^2=c^2
4 squared and 3 squared =25
square root of 25 is 5
answer is d
6 0
3 years ago
When measuring volume of a cone, if the line goes all the way across the base, define this current value (what is the term for t
krek1111 [17]

Answer: the line across the circle is the diameter, you find diameter by multpyling radius by two

Step-by-step explanation:

6 0
3 years ago
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