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Aleonysh [2.5K]
3 years ago
5

I need help ASAP!!!!!!!

Mathematics
1 answer:
aleksandrvk [35]3 years ago
8 0

Answer:

  15.5 cm

Step-by-step explanation:

You want the difference between the values of x that make y=0. Solving for those values, we get ...

  0 = -0.1(x -1)^2 +6

  0 = (x -1)^2 -60 . . . . . . . . . multiply by -10

  60 = (x -1)^2 . . . . . . . . . . . add 60

  ±√60 = x -1 . . . . . . . . . . . . take the square root

At this point, it should be obvious that the difference between the two solutions will be 2√60 = 4√15. If it is not, we can find the two solutions and take their difference:

  x1 = 1 +√60

  x2 = 1 -√60

Then the difference is ...

  x1 -x2 = (1 +√60) -(1 -√60) = 2√60

60 has a square factor (4), so we can simplify this radical to ...

  x1 -x2 = 4√15 ≈ 15.4919 ≈ 15.5

The ends of the rainbow are about 15.5 cm apart.

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Brilliant_brown [7]
1. The area of a circle is
a = \pi {r}^{2}
\pi = 3.14 \\ r =  \frac{3.4}{2}  = 1.7
a = (3.14) {(1.7)}^{2}  \\  = 9.0746
The area is 9.07 cm^2.

2. The volume of a cube is
v =  {s}^{3}
s = 4.5
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7 0
3 years ago
A salad bar offers vegetable platters in 4 sizes (small, medium, large, and super-sized) and 6 different vegetables to choose fr
quester [9]

Answer: She could create 60 platters.

Step-by-step explanation:

Given: A salad bar offers vegetable platters in 4 sizes (small, medium, large, and super-sized) and 6 different vegetables to choose from.

Number of combinations of selecting <em>r</em> things from <em>n</em> things is given by:-

^nC_r=\dfrac{n!}{r!(n-r)!}

So, the number of combinations of selecting 2 different vegetables from 6 = ^6C_2=\dfrac{6!}{2!4!}=\dfrac{6\times5}{2}=15

Now, By Fundamental counting principle, the number of different platters she could create = (number of ways of selecting 2 different vegetables from 6) x (Number of sizes)

= 15 x 4

= 60

Hence, she could create 60 platters.

6 0
3 years ago
Please help!!!!! It's urgent
Evgesh-ka [11]
       2b                     2a
----------------- +  -----------------
   (b+a)^2            (b^2 - a^2)

            2b                     2a
= ----------------- +  -------------------
      (b+a)(b+a)         (b+a)(b-a)

         2b(b - a) +  2a(b + a)
= ------------------------------------
           (b+a)(b+a)(b-a)


         2b^2 - 2ab  +  2ab + 2a^2
= ---------------------------------------
           (b+a)(b+a)(b-a)

         2b^2 + 2a^2
= ------------------------
        (b+a)(b+a)(b-a)

         2(b^2 + a^2)
= ------------------------
        (b+a)^2 (b-a)

Answer:

Numerator:        2(b^2 + a^2)
Denominator:    (b+a)^2 (b-a)
7 0
4 years ago
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6 0
3 years ago
Read 2 more answers
Find the value of x to the nearest tenth.
Tju [1.3M]

Answer:

around 4.1

Step-by-step explanation:

Using Pythaogrean theorem we get <em>sqrt 32</em> or <em>4sqrt2 </em>for the diagonal of the square.

To get x we can use Pythagorean theorem again to set up an equation,

32 + x^2 = 49

This gives us x = <em>sqrt17,</em> which is approximately 4.1231 or around 4.1

4 0
3 years ago
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