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3 years ago

Is 61/100 bigger than, less than, or equal to 2/5

Mathematics

1 answer:

sergey [27]3 years ago

5 0

$\dfrac{2}{5}=\dfrac{40}{100}$

so $\dfrac{61}{100}$ is bigger

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3(12-3y^2) Help solve this please

HACTEHA [7]

Step 1. Distribute

 $3*12+3*-3 y^{2}$

Step 2. Simplify $3*12$ to $36$

$36+3*-3 y^{2}$

Step 3. Simplify $3*-3 y^{2}$ to $-9 y^{2}$

$36-9 y^{2}$

Done! :)

5 0

3 years ago

How to create every number from 1-50 and I you could only use numbers 1,2,3,4

sergey [27]

1, 2, 3, 4, 1+4, 2+4, 3+4, 4+4, 4+4+1, 4+4+2, 11, 12, 13, 14, 14+1, 14+2, 14+3, 14+4, 14+4+1, 14+4+2, 21, 22, 23, 24, 24+1, 24+2, 24+3, 24+4, 24+4+1, 24+4+2, 31, 32, 33, 34, 34+1, 34+2, 34+3, 34+4, 34+4+1, 34+4+2 ,41,42, 43, 44, 44+1, 44+2, 44+3, 44+4, 44+4+1, 44+4+2

3 0

3 years ago

* 20 points * help me please.?????........???!

lorasvet [3.4K]

$y=ax^2+bx+c$

A parabola is open up if a > 0.
The vertex formula: $y=a(x-h)^2+k$
(h; k) - the coordinates of the vertex
$B.\ y=x^2+10x+24=x^2+2x\cdot5+24=x^2+2x\cdot5+5^2-5^2+24=(x+5)^2-1$
Therefore h = -5 < 0
Answer: B. y = x² + 10x + 24.

3 0

3 years ago

Find the linear approximation of the function f(x, y, z) = x2 + y2 + z2 at (4, 4, 7) and use it to approximate the number 4.022

miss Akunina [59]

Answer:

80.66

Step-by-step explanation:

$L\left( x \right) = f\left( a \right) + f'\left( a \right)\left( {x - a} \right)$

$f(x, y, z) = x^2+y^2+z^2$

Since we have three variables,

$L(x, y,z) = f(a, b,c) + f_x (a, b,c) (x - a) + f_y (a, b,c) (y - b) +f_z(a,b,c)(z-c)$

$f(4, 4, 7) = 4^2+4^2+7^2=81$

$f_x (a, b,c)=2x=2*4=8\\f_y (a, b,c)=2y=2*4=8\\ f_z(a,b,c)=2z=2*7=14$

Therefore:

$L(x, y,z) = 81+ 8(x - 4) + 8 (y - 4) +14(z-7)$

Using the above:

f(4.02, 3.99, 6.97) =81+ 8(4.02 - 4) + 8 (3.99 - 4) +14(6.97-7)=80.66.

The approximation of $4.02^2 + 3.99^2 + 6.97^2$ is 80.66000.

3 0

3 years ago

What is the probability that, after making two rolls with a fair (six-sided) die, you find that one or both of the rolls is grea

Andreyy89

There are 36 total possibilities when one rolls a six sided die.
(1,1)(1,2)(1,3)(1,4)(1,5)(1,6)(2,1)(2,2)(2,3)(2,4)(2,5)(2,6)(3,1)(3,2)(3,3)(3,4)(3,5)(3,6)(4,1)(4,2)(4,3)(4,4)(4,5)(4,6)(5,1)(5,2)(5,3)(5,4)(5,5)(5,6)(6,1)(6,2)(6,3)(6,4)(6,5)(6,6).
Out of these possibilities there are 3 that make 4.4 that make make 5. 5 that make 6. 6 that make 7. 5 that make 8. 4 that make 9. 3 that make 10. 2 that make 11 and 1 that makes 12. Now add the combinations 3+4+5+6+5+4+3+2+1. The answer would be 33.

5 0

3 years ago