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murzikaleks [220]

2 years ago

8

I need help with this

1 answer:

SSSSS [86.1K]2 years ago

4 0

Answer:

-26

Step-by-step explanation:

Use the given formula to find the next terms.

c(1) = 6 . . . . . . given

c(2) = c(1) -16 = 6 -16 = -10

c(3) = c(2) -16 = -10 -16 = -26

The third term in the sequence is -26.

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A contractor combined x tons of a gravel mixture that contained 10 percent gravel G, by weight, with y tons of a mixture that co

White raven [17]

Answer:

The value of x would be $\frac{3}{5}y$ or $\frac{3}{8}z$

Step-by-step explanation:

Given,

x tons of 10% gravel G mixture is mixed with y ton of 2% gravel G to obtain 5% gravel mixture,

Thus, gravel G in x ton + gravel in y ton = gravel G in the resultant mixture,

⇒ 0.1x + 0.02y = 0.05(x+y),

0.1x - 0.05x = 0.05y - 0.02y

0.05x = 0.03y

$\implies x = \frac{0.03}{0.05}y=\frac{3}{5}y----(1)$

Now, resultant mixture is z ton,

i.e. $z=x+y$

$\implies y = z - x$

From equation (1),

$x=\frac{3}{5}(z-x) = \frac{3}{5}z-\frac{3}{5}x$

$x+\frac{3}{5}x=\frac{3}{5}z$

$\frac{8}{5}x=\frac{3}{5}z$

$x=\frac{3}{8}z$

3 0

3 years ago

12. When 64 is divided by x, the quotient is a negative

sergey [27]

J. -8 is the correct answer

8 0

3 years ago

EXAMPLE 5 Find the maximum value of the function f(x, y, z) = x + 2y + 9z on the curve of intersection of the plane x − y + z =

geniusboy [140]

The Lagrangian,

$L(x,y,z,\lambda,\mu)=x+2y+9z-\lambda(x-y+z-1)-\mu(x^2+y^2-1)$

has critical points where its partial derivatives vanish:

$L_x=1-\lambda-2\mu x=0$

$L_y=2+\lambda-2\mu y=0$

$L_z=9-\lambda=0$

$L_\lambda=x-y+z-1=0$

$L_\mu=x^2+y^2-1=0$

$L_z=0$ tells us $\lambda=9$ , so that

$L_x=0\implies-8-2\mu x=0\implies x=-\dfrac4\mu$

$L_y=0\implies11-2\mu y=0\implies y=\dfrac{11}{2\mu}$

Then with $L_\mu=0$ , we get

$x^2+y^2=\dfrac{16}{\mu^2}+\dfrac{121}{4\mu^2}=1\implies\mu=\pm\dfrac{\sqrt{185}}2$

and $L_\lambda=0$ tells us

$x-y+z=-\dfrac4\mu-\dfrac{11}{2\mu}+z=1\implies z=1+\dfrac{19}{2\mu}$

Then there are two critical points, $\left(\pm\frac8{\sqrt{185}},\mp\frac{11}{\sqrt{185}},1\pm\frac{19}{\sqrt{185}}\right)$ . The critical point with the negative $x$ -coordinates gives the maximum value, $9+\sqrt{185}$ .

8 0

4 years ago

I NEED HELPP PLEASEE!!!

Mnenie [13.5K]

Answer:

26.4

31.2

33.3

These are the easy questions, the rest will have a square root and a a number outside.

8 0

3 years ago

Write this in equation form 5 less than risk equal to 16

dolphi86 [110]

Risk - 5 = 16. It is just mathematical language.

7 0

4 years ago