One cell phone company offers a plan that costs $25.99 and includes unlimited night and weekendminutes. Another company offers a plan that costs $14.99 and charges $0.35 per minute during nights
and weekends. For what numbers of night and weekend minutes does the second company's plan cost
more than the first company's plan?

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Related Questions

What is the factored form of 27d^6 + 8g^12
Let P(n) be the statement that a postage of n cents can be formed using just 4-cent and 7-cent stamps. Use strong induction to prove that P(n) is true for all integers greater than or equal to some threshold x.
An object is launched at 20 m/s from a height of 65 m. The equation for the height (h) in terms of time (t) is given by h(t) = -4.912 + 20t + 65. What is theobject's maximum height?
28Here are two rectangles.РeBDSRQR = 20 cmBC = PQThe perimeter of ABCD is 52 cmThe area of PQRS is 90 cm?Find the length of AB.
Find the value of each trigonometric ratio

The table represents a linear function. What is the slope of the function?

Answers

Slope is the change in y over the change in x.

Using the first and last value, the change in x would be the change from -4 to 4 which is 8

The change y y would be the change from -16 to 24 which is 40

The slope would be 40/8 which reduces to 5

The answer is 5

The hypotenuse of the triangle shown below is 12 inches. What is the lengthof a side in inches?

Answers

Can you send a picture of the triangle ?

Let S be the sphere of radius 1 centered at (2, 4, 6). Find the distance from S to the plane x + y + z = 0.

Answers

Answer:

5.928

Step-by-step explanation:

Given that:

The relation of the plane x+y+z= 0

Suppose (x,y,z) is any point on the plane.

Then the difference between (2,4,6) to (x,y,z) is:

$d^2 = (x-2)^2 + (y -4)^2 + ( z -6)^2 \n \n d^2 = (x^2 -4x+4) + ( y^2-8y +16) +(z^2 -12z + 36)$

$d^2 = x^2 + y^2 +z^2 -4x -8y -12z +4 +16 +36$

$d^2 = x^2 +y^2 + z^2 -4x -8y -12z +56$

∴

$f(x,y,z) =d^2 = x^2 + y^2 + z^2 - 4x -8y - 12 z +56 - - - (1)$

To estimate the maximum and minimum values of the function f(x,y,z) subject to the constraint g(x,y,z) = x+y+z =0

By applying Lagrane multipliers;

If we differentiate equation (1) with respect to x; we have:

f(x,y,z) = 2x -4

If we differentiate equation (1) with respect to y; we have:

f(x,y,z) = 2y - 8

If we differentiate equation (1) with respect to z; we have:

f(x,y,z) = 2z - 12

Differentiating g(x,y,z) with respect to x, we have:

$g_x(x,y,z) = 1$

Differentiating g(x,y,z) with respect to y, we have:

$g_y(x,y,z) = 1$

Differentiating g(x,y,z) with respect to z, we have:

$g_z(x,y,z) = 1$

Calculating the equations $\bigtriangledown f = \lambda \bigtriangleup g \ \ \ \& \ \ \ g(x,y,z) =0$

$f_x = \lambda g_x\n$

$2x - 4 = \lambda (1)$

$2x= 4 + \lambda$

$x= 2 + (\lambda )/(2) --- (2)$

$f_y = \lambda g_y$

$2x -8 = \lambda(1)$

$2x = 8+ \lambda$

$x = 4+(\lambda)/(2) --- (3)$

$f_z = \lambda g_z$

$2x -12 = \lambda (1)$

$x = 6 + (\lambda )/(2) --- (4)$

x+y+z = 0 - - - (5)

replacing x, y, z values in the given constraint

x + y + z = 0

$2+(\lambda)/(2)+4+(\lambda)/(2)+6+(\lambda)/(2)=0$

$12 + (3 \lambda )/(2)=0$

$(3 \lambda )/(2)=-12$

$3 \lambda=-12 * 2$

$3 \lambda=-24$

$\lambda=(-24)/(3)$

$\lambda=-8$

Therefore, from equation (2)

$x=2 +( \lambda )/(2)$

$x=2 +( -8 )/(2)$

x = 2 - 4

x = - 2

From equation (3)

$x=4 +( \lambda )/(2)$

$x=4 +( -8 )/(2)$

x = 4 - 4

x = 0

From equation (3)

$x=6 +( \lambda )/(2)$

$x=6 +( -8 )/(2)$

x = 6 -4

x = 2

i.e (x,y,z) = (-2, 0, 2)

∴

$d^2 = (x-2)^2 +(y-4)^2 + (z -6)^2$

$d^2 = (-2-2)^2 +(0-4)^2 + (2 -6)^2$

$d^2 = 16 +16 + 16$

$d^2 =48$

$d =√(48)$

$d= \pm 6.928$

since we are taking only the positive integer because distance cannot be negative, then:

The distance from the center of the sphere to the plane is 6.928.

However, the distance from the surface S to the plane is:

6.928 - radius of the sphere.

where;

the radius of the sphere is given as 1

Then:

the distance from the surface S to the plane is:

6.928 - 1

= 5.928

5×(10÷10×10)+(8×3-23)=

Answers

Answer:

Step-by-step explanation:

5 ×(10 :10 ×10) +(8 ×3 - 23) =

5 ×(1 ×10) +(24 - 23) =

5 ×10 +1 =

50 +1 =

A recipe for trail mix uses 7 ounces of almonds with 5 ounces of raisins. (Almonds and raisins are the only ingredients.)1. How many ounces of almonds would be in a one-pound bag of this trail mix?

2. Explain or show your reasoning. (OPTIONAL)

Answers

Answer:

Step-by-step explanation:

when you combine the amount of almonds and raisins, you get 12 ounces. so out of those 12 ounces, 7 is going to be almonds. aka $(7)/(12)$ . now you just have to multiply that by 16 (since there are 16 ounces in a pound) and you'll get roughly 9.333

The ordered pairs in the table below represent a linear function. x y 6 2 9 8 What is the slope of the function? One-fourth One-half 2 4

Answers

Answer:

The answer is C) 2

Step-by-step explanation: I hope you get this right also.

Answer:

Step-by-step explanation:

Other Questions

(12pts) Inequalities please help me !?

Can someone please answer c. I’ve been trying for 30 mins and can’t understand it

If j and k are intersecting lines, A and B are points on j, and C and D are points on k, how many planes contain points A, B, C, and D? A. Infinitely many B. We can't determine from the given information. C. Exactly one D. None

Please help me with some math im stuck