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ZanzabumX [31]
3 years ago
5

Arrange the steps in the correct order to perform this subtraction problem 1.1 ( 10 3 ) − 4.9 ( 10 2 ) = 610

Mathematics
1 answer:
Norma-Jean [14]3 years ago
7 0

We are given :  Expression 1.1 ( 10^3 ) − 4.9 ( 10^2 ) = 610.

Solution: In order to solve above given expression, we need to apply order of operations.

We can apply order of operations according to PEMDAS rule.

PEMDAS stands for Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.

In the given problem, we need to simplify Parentheses first.

We have 10^3 and 10^2 in Parentheses.

10^3 = 10*10*10 = 1000.

10^2 = 10*10 = 100.

Substituting those values in original expression.

1.1 ( 1000 ) − 4.9 ( 100 ).

Now, we need to apply multiplication operation in 1.1*1000 and 4.9*100.

We get 1.1*1000 = 1100 and 4.9*100 = 490.

Substituting those values in above result we got.

1100-490.

Now, we can perform subtraction operation.

On subtracting 1100-490, we get 610.

And that is equal to 610.



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What is the area of the squares with sides (2x-3)feet?​
LUCKY_DIMON [66]

Answer:

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Step-by-step explanation:

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FOIL

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5 0
2 years ago
Read 2 more answers
The degree measure of an angle and its supplement are consecutive odd integers. Find the measure of each angle.
Daniel [21]

Answer:

89

91

Step-by-step explanation:

Supplementary means the pair of angles that have this relationship add up to 180 degrees.

If you assume n is odd, then the very next odd number is n+2.

Example 5 is odd and the next odd number after 5 is 7. This fits the pattern of n and n+2 when n=5.

So we are given the degree measurement of an angle and it's supplement are consecutive odd integers.

So let's pretend the supplement of A is B. This means A+B=180.

We are also given A and B are consecutive odd integers, so this means we are going to let A=n and B=n+2.

Let's put this into our equation for A+B=180:

(n)+(n+2)=180

n  + n+2 =180

2n     +2 =180

Subtract 2 on both sides:

2n          =178

Divide both sides by 2:

 n           =178/2

Simplify right hand side:

 n           =89

If n=89, then n+2=89+2=91.

Does 89+91=180? Yep.

Are 89 and 91 consecutive odd numbers?  Yep.  

Here are some consecutive numbers including those: 89,90,91

Yes 91 is the next odd number after 89.

3 0
2 years ago
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Hey can you please help me posted picture of question
aleksandrvk [35]
The correct answer is D. Graph D

Find the Vertex of   <span>y = 3x2+7x+2

</span>Parabolas have a highest or a lowest point called the Vertex .   Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) .   <span>We know this even before plotting </span> "y" <span> because the coefficient of the first term,</span> 3 , is positive (greater than zero).<span> 

 </span><span>Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two </span> x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.<span> 

 </span>Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.<span> 

 </span>For any parabola,<span>Ax2+Bx+C,</span><span>the </span> x <span>-coordinate of the vertex is given by </span> -B/(2A) <span>. In our case the </span> x <span> coordinate is </span> -1.1667 <span> 

 </span><span>Plugging into the parabola formula </span> -1.1667 <span> for </span> x <span> we can calculate the </span> y -coordinate :<span> 
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</span><span>or </span><span>  y = -2.083
</span>Parabola, Graphing Vertex and X-Intercepts :

Root plot for : <span> y = 3x2+7x+2</span>
Axis of Symmetry (dashed)  {x}={-1.17} 
Vertex at  {x,y} = {-1.17,-2.08}  
 x -Intercepts (Roots) :
Root 1 at  {x,y} = {-2.00, 0.00} 
Root 2 at<span>  {x,y} = {-0.33, 0.00} </span>

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3 years ago
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