Libby Owens
2022-07-26
Answered

Senior class sold slices of pizza for 75 cents each and hamburgers for $1.35 each. They sold 40 more slices of pizza than hamburgers, and sales totaled $292.50. How many slices of pizza did they sell?

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asked 2021-05-13

A movie stuntman (mass 80.0kg) stands on a window ledge 5.0 mabove the floor. Grabbing a rope attached to a chandelier, heswings down to grapple with the movie's villian (mass 70.0 kg), whois standing directly under the chandelier.(assume that thestuntman's center of mass moves downward 5.0 m. He releasesthe rope just as he reaches the villian).

a) with what speed do the entwined foes start to slide acrossthe floor?

b) if the coefficient of kinetic friction of their bodies withthe floor is 0.250, how far do they slide?

asked 2020-10-18

Find a least squares solution of Ax=b by constructing and solving the normal equations.

$A=\left[\begin{array}{cc}3& 1\\ 1& 1\\ 1& 4\end{array}\right],b\left[\begin{array}{c}1\\ 1\\ 1\end{array}\right]$

$\stackrel{\u2015}{x}=$ ?

asked 2021-02-27

Solve the following differential equations:

$\frac{dy}{dx}=\frac{x-{e}^{-x}}{y+{e}^{y}}$

asked 2021-09-11

Write the logarithmic equation as an exponential equation.

${\mathrm{log}}_{5}3125=5$

asked 2022-08-04

Solve each system using matrix notation. Express the solution using vectors.

a) 3x +6y = 18

x + 2y = 6

b) 2b + b - c = 2

2a + c = 3

a - b = 0

a) 3x +6y = 18

x + 2y = 6

b) 2b + b - c = 2

2a + c = 3

a - b = 0

asked 2021-09-19

Replace the Cartesian equation with equivalent polar equations.

${(x-3)}^{2}+{(y+1)}^{2}=4$

asked 2020-10-27

Which of the following equations have the same solution set? Give reasons for your answers that do not depend on solving the equations.

l.$x-5=3x+7$

ll.$3x-6=7x+8$

lll.$15x-9=6x+24$

lV.$6x-16=14x+12$

V.$9x+21=3x-15$

Vl.$-0.05+\frac{x}{100}=3\frac{x}{100}+0.07$

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