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Vadim26 [7]
1 year ago
11

What are the solutions of the quadratic equation 40-x^2=0

Mathematics
2 answers:
Nataliya [291]1 year ago
3 0
Use the quadratic formula to find the solutions:<span><span><span>−b±<span>√<span><span>b2</span>−4<span>(ac)</span></span></span></span><span>2a</span></span><span><span>-b±<span><span>b2</span>-4<span>(ac)</span></span></span><span>2a       </span></span></span>Substitute the values:
<span><span>a=−1</span><span>a=-1</span></span>,   <span><span>b=0</span><span>b=0</span></span>,   and <span><span>c=40</span><span>c=40 </span></span> into the quadratic formula and solve for <span>x                 </span><span><span><span>0±<span>√<span><span>02</span>−4⋅<span>(−1⋅40)</span></span></span></span><span>2⋅−1</span></span><span><span>0±<span><span>02</span>-4⋅<span>(-1⋅40)</span></span></span><span>2⋅-1 </span></span></span>Simplify:
<span><span>x=±2<span>√10</span></span><span>x=±210    </span></span>The result can be shown in both exact and approximate form: <span><span>x=±2<span>√10</span></span><span>x=±210</span></span><span>x≈6.324555,−<span>6.324555
<em />I hope this helps. :)
</span></span>
MAVERICK [17]1 year ago
3 0

Answer:

The answer is approximately ±6.32

Step-by-step explanation:

Given the quadratic equation 40-x² = 0, to get the solution to the quadratic equation, we must find all the values of x that satisfies the equation.

From the equation 40-x²= 0

Step1: Take -x² to the other side of the equation to have;

40= 0+x²

40= x²

Step 2: Take the square root of both sides to have;

√40 = √x²

x = ±√40

x = ±6.32

The values of x are approximately 6.32 and -6.32

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Answer:

Step-by-step explanation:

Given is a paired data which consist of temperatures (X in mm) and growth

We have to find the linear correlation i.e. the measure of association between these two variables.

x y xy x^2 y^2

     

62 36 2232 3844 1296

76 39 2964 5776 1521

50 50 2500 2500 2500

51 13 663 2601 169

71 33 2343 5041 1089

46 33 1518 2116 1089

51 17 867 2601 289

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79 16 1264 6241 256

     

Mean 58.88888889 27 1623.888889 3628.444444 916.1111111

cov 33.88888889    

std dev x 13.43916333 14.50861813    

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r 0.195529176    

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7 0
2 years ago
A tennis coach divides her 9-player squad into three 3-player groups with each player in only one group. How many different sets
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Answer:

3

Step-by-step explanation:

The coach divides her 9-player squad into 3-player groups. This means that she has 9 players and she wants to share them into 3s.

The number sets of three groups she will have can be obtained by dividing the total number of her players by the 3. That is:

9 / 3 = 3 sets

Therefore, she will have 3 sets of 3-player groups.

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2 years ago
A skateboarder starts from rest and maintains a constant forward acceleration of 0.50 meter per second squared for 8.4 s. what i
myrzilka [38]

Answer-

The rider’s displacement during this time is 17.01 m

Solution-

As we know,

s= ut + \frac{1}{2}at^{2}

Where s = displacement,

           u= initial velocity = 0, as the rider starts from rest

           a= acceleration = 0.5 m/s²

           t= time taken = 8.4 s

Putting the values,

s = (0)(8.4) + \frac{1}{2} (0.5)(8.4)^{2} = 17.64 \ m

7 0
1 year ago
Read 2 more answers
In baseball, a player pitches a ball from the mound to a catcher behind the plate. A pitch that passes over the plate above the
matrenka [14]

To solve this question, you just need to count all the probability of the options.

The probability that a pitch not over the plate is a strike is zero. So, P(A | D) = 0.

True. It is 0/0+20= 0

The probability that a pitch not over the plate is a ball is 1. So, P(B | D) = 1.

True, it is 20/20+0= 1

The probability that a pitch over the plate is a strike is 10:15. So, ...

Incomplete but it sounds to be true. It should be 10/10+5= 10/15 = 2/3

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7 0
2 years ago
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cylinder with height 9 inches and radius is filled with water, it can fill a certain pitcher. How many of these pitchers can a c
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Answer:

4

Step-by-step explanation:

The 1st cylinder used to fill the pitcher has:

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h = 9 in

radius:

r = r

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V=\pi r^2 h

Therefore, the volume of the 1st cylinder is

V=\pi r^2 9=9\pi r^2

We are told that the water inside this cylinder can fill a certain pitcher, so this is also the volume of the pitcher.

Then, we have a second cylinder, which has height

h = 9 in

and radius

r' = 2r

So the volume of this cylinder is

V'=\pi r'^2 h = \pi (2r)^2 9 =9\pi (4r^2)=36\pi r^2

This means that the number of pitchers that can be filled by this 2nd cylinder is

n=\frac{V'}{V}=\frac{36\pi r^2}{9\pi r^2}=4

8 0
2 years ago
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