Write an equation in slope-intercept form for the line with slope -4 and y-intercept 6 . Then graph the line.

A circle has a circumference of 289 pi. what is the radius

SIZIF [17.4K]

<span>2π289 = 1815.84 is your Answer</span>

6 0

3 years ago

How many solutions are there to the equation x1 + x2 + x3 + x4 + x5 + x6 = 25 in which each xi is a non-negative integer and … (

prohojiy [21]

Answer:

The equation x1 + x2 + x3 + x4 + x5 + x6 = 25 in which each xi is a non-negative integer and … Will have:

(a) 6 solutions where there are no other restrictions.

(b) 4 Solutions for xi ≥ 3 for i = 1, 2, 3, 4, 5, 6(x3 + x4 +x5 + x6 = 25)

(c) 4 Solutions for 3 ≤ x1 ≤ 10

( x3 + x4 + x5 + x6 = 25)

(d) 5 Solutions for 2 ≤ x2 ≤ 7

Step-by-step explanation:

The equation have 6 unknown variables . This means it will have 6 solutions when no condition is imposed as in (a) above. The number of unknown variables in the equation will give the numbers of solutions

When the conditions are imposed, the numbers of unknown variables will give the number of solutions.

In (b) and (c), the equation will reduce to x3 + x4 +x5 + x6 = 25) and the unknown variables are 4, giving 4 solutions

In (d), the equation will reduce be 5 unknown variables(x2 + x3 + x4 +x5 + x6 = 25) and the solution is 5

8 0

2 years ago

A right triangle has side lengths d, e and f as shown below use the lengths to find sin x cos x and tan x

Monica [59]

Answer:

sin is d/f

cos is e/f

tan is d/e

Step-by-step explanation:

sin is opposite over hypotenuse

cos is adjacent over hypotenuse

tan is opposite over adjacent

Some old hippie, caught another hippie, tripping on acid

3 0

3 years ago

Petco makes a profit of $9 per bag on its line of natural cat food. If the store wants to make a profit of at least

Nata [24]

Answer:

x ≥ 767

The number of bags sold must be greater than or equal to 767 to make a minimum profit of $6900.

Step-by-step explanation:

If they want a profit of at least $6900, then the total amount earned would have to be ≥ 6900. You can always earn more than $6900, but the lowest should be equal to $6900.

So if we use x as the number of bags sold, and we know that each bag will earn $9, then x • 9 ≥ 6900.

If we divide both sides by 9, then the number of bags sold must be ≥ 767.

8 0

3 years ago

Use Stokes' theorem to evaluate ∬S(∇×F)⋅dS where F(x,y,z)=−3yzi+3xzj+14(x2+y2)zk and S is the part of the paraboloid z=x2+y2 tha

Usimov [2.4K]

Stokes' theorem says the integral of the curl of $\vec F$ over $S$ is equal to the integral of $\vec F$ along the boundary of $S$ , with counterclockwise orientation (when viewed from above). This boundary is the circle $x^2+y^2=1$ set in the plane $z=1$ .