Which of the following constants can be added to x2 - 10x to form a perfect square trinomial?

A company rents out 11 food booths and 24 game booths at the county fair. The fee for a food booth is $175 plus $5 per day. The

AURORKA [14]

11(175+5d) + 24(50+7d)

3 0

2 years ago

Dy/dx= y^4 and y(2)= -1. Y(-1)=

cupoosta [38]

It looks like you're asked to find the value of y(-1) given its implicit derivative,

$\dfrac{dy}{dx} = y^4$

and with initial condition y(2) = -1.

The differential equation is separable:

$\dfrac{dy}{y^4} = dx$

Integrate both sides:

$\displaystyle \int \frac{dy}{y^4} = \int dx$

$-\dfrac1{3y^3} = x + C$

Solve for y :

$\dfrac1{3y^3} = -x + C$

$3y^3 = \dfrac1{-x+C} = -\dfrac1{x + C}$

$y^3 = -\dfrac1{3x+C}$

$y = -\dfrac1{\sqrt[3]{3x+C}}$

Use the initial condition to solve for C :

$y(2) = -1 \implies -1 = -\dfrac1{\sqrt[3]{3\times2+C}} \implies C = -5$

Then the particular solution to the differential equation is

$y(x) = -\dfrac1{\sqrt[3]{3x-5}}$

and so

$y(-1) = -\dfrac1{\sqrt[3]{3\times(-1)-5}} = \boxed{\dfrac12}$

6 0

2 years ago

Composite Figures Question 9. A. 57 ft B. 288 ft C. 208 ft D. 264 ft

Elden [556K]

Answer:

D

Step-by-step explanation:

find area of first rectangle

18 x 6 = 108

find area of second rectangle

20 x 5 = 100

find area of two triangles

7 x 8 =56

56/2 = 28

each triangle has an area of 28

28+28+100+108 = 264ft

8 0

3 years ago

Let u = <-6, 3>, v = <1, 9>. Find u - v. (5 points)

jeyben [28]

Answer:

u - v = <-7, -6>

Step-by-step explanation:

<-6,3> <1,9>

To get the result you just subtract the components of v from the components of u

<-6 - 1, 3 - 9>

<-7, -6>

8 0

3 years ago

Read 2 more answers

The diameter of a circle is 6 m. Find its area in terms of pi

Pie

<h2>Answer:</h2><h2>9 pi m^2</h2>

Solution,

Diameter=6 m

Radius= 6/2=3m

Area of circle= pi r ^2

 = pi *(3)^2

 = pi*9

 =9 pi metre^2

Hope it helps

Good luck on your assignment

7 0

3 years ago

Read 2 more answers