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3 years ago

I really don’t know what to do someone help ASAP

Mathematics

2 answers:

Archy [21]3 years ago

5 0

Answer:

0.001

Step-by-step explanation:

-BARSIC- [3]3 years ago

3 0

Answer:

5.5

Step-by-step explanation:

The volume of a sphere is represented by the formula 4/3πr^3. So, if we set 4/3πr^3 equal to 2048/3, we can start solving. Start by multiplying both sides by 3/4, the reciprocal of 4/3 to get rid of the fraction. This gives us πr^3 = 512. Divide 512 by π to get 163.1 (when rounded to the nearest tenth). This leaves us with r^3 = 163.1; find the cubic root of 163.1, which is 5.5, to get r

(a more exact answer is 5.4631958645870141851784948846314‬)

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Find the measure of DF

WITCHER [35]

Answer:

144 = arc DF

Step-by-step explanation:

Inscribed Angle = 1/2 Intercepted Arc

72 = 1/2 arc DF

Multiply by 2

2*72 = arc DF

144 = arc DF

4 0

3 years ago

* Which expression is equivalent to 7(p + 5) *

luda_lava [24]

Answer:

7(p+5)

=7p+35

this two be equivalent since when you expand it's the sama

7 0

3 years ago

Solve the linear programming problem. Minimize and maximize Upper P equals negative 20 x plus 30 y Subject to 2 x plus 3 y great

Alika [10]

Answer:

Maximum = 540 at (6,14)

Minimum = 300 at (0,10) or (12,2).

Step-by-step explanation:

The given linear programming problem is

Minimize and maximize: P = 20x + 30y

Subject to constraint,

$2x+3y\ge 30$ .... (1)

$2x+y\le 26$ .... (2)

$-2x+3y\le 30$ .... (3)

$x,y\geq 0$

The related equation of given inequalities are

$2x+3y=30$

$2x+y=26$

$-2x+3y=30$

Table of values are:

For inequality (1).

x y

0 10

15 0

For inequality (2).

x y

0 26

13 0

For inequality (3).

x y

0 10

15 0

Pot these ordered pairs on a coordinate plane and connect them draw the corresponding related line.

Check each inequality by (0,0).

$2(0)+3(0)\ge 30\Rightarrow 0\ge 30$ False

$2(0)+(0)\le 26\Rightarrow 0\le 26$ True

$-2(0)+3(0)\le 30\Rightarrow 0\le 30$ True

It means (0,0) is included in the shaded region of inequality (2) and (3), and (0,0) is not included in the shaded region of inequality (1).

From the below graph it is clear that the vertices of feasible region are (0,10), (6,14) and (12,2).

Calculate the values of objective function on vertices of feasible region.

Point P = 20x + 30y

(0,10) P = 20(0) + 30(10) = 300

(6,14) P = 20(6) + 30(14) = 540

(12,2) P = 20(12) + 30(2) = 300

It means objective function is maximum at (6,14) and minimum at (0,10) or (12,2).

7 0

3 years ago

Find a homogeneous linear differential equation with constant coefficients whose general solution is given by

frez [133]

Answer:

$y" + 2y' + 2y = 0$

Step-by-step explanation:

Given

$y=c_1e^{-x}cosx+c_2e^{-x}sinx$

Required

Determine a homogeneous linear differential equation

Rewrite the expression as:

$y=c_1e^{\alpha x}cos(\beta x)+c_2e^{\alpha x}sin(\beta x)$

Where

$\alpha = -1$ and $\beta = 1$

For a homogeneous linear differential equation, the repeated value m is given as:

$m = \alpha \± \beta i$

Substitute values for $\alpha$ and $\beta$

$m = -1 \± 1*i$

$m = -1 \± i$

Add 1 to both sides

$m +1= 1 -1 \± i$

$m +1= \± i$

Square both sides

$(m +1)^2= (\± i)^2$

$m^2 + m + m + 1 = i^2$

$m^2 + 2m + 1 = i^2$

In complex numbers:

$i^2 = -1$

So, the expression becomes:

$m^2 + 2m + 1 = -1$

Add 1 to both sides

$m^2 + 2m + 1 +1= -1+1$

$m^2 + 2m + 2= 0$

This corresponds to the homogeneous linear differential equation

$y" + 2y' + 2y = 0$

6 0

3 years ago

A regular meal at a restaurant costs $6. A deluxe meal at the restaurant costs $3 than a regular meal. A group visits the restau

wolverine [178]

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3 years ago