All categories

3 years ago

Use the table

Mathematics

1 answer:

Katyanochek1 [597]3 years ago

3 0

A) Basketball and Football

B) Soccer

C) ???

You might be interested in

suppose y varies directly with the square root of x and inversely with z. when x=4 and z=3, then y=10. find y if x=49 and z=3

lyudmila [28]

$\bf \qquad \qquad \textit{double proportional variation}\\\\
\begin{array}{llll}
\textit{\underline{y} varies directly with \underline{x}}\\
\textit{and inversely with \underline{z}}
\end{array}\implies y=\cfrac{kx}{z}\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------$

$\bf \begin{array}{llll}
\textit{y varies directly with}\\
\textit{the square root of x and inversely with z}
\end{array}\qquad y=\cfrac{k\sqrt{x}}{z}
\\\\\\
\textit{we also know that }
\begin{cases}
x=4\\
z=3\\
y=10
\end{cases}\implies 10=\cfrac{k\sqrt{4}}{3}\implies 30=k2
\\\\\\
\cfrac{30}{2}=k\implies 15=k\qquad \qquad \boxed{y=\cfrac{15\sqrt{x}}{z}}
\\\\\\
\textit{when x = 49 and z = 3, what is \underline{y}?}\qquad \qquad y=\cfrac{15\sqrt{49}}{3}$

$\bf y=\cfrac{15\cdot 7}{3}\implies y=\cfrac{15}{3}\cdot 7\implies y=5\cdot 7\implies y=35$

5 0

4 years ago

Cesar is 35 years old. He has $370 in a checking account$2900 in a savings account$13,000 in a retirement account, and owns a ca

antoniya [11.8K]

Answer:

A. $3770

Step-by-step explanation:

The correct answer must be $3770 (not $3270), checking accounts and savings accounts are liquid assets. However, cars are not liquid assets because liquid assets are things that can be quickly turned into cash without losing much if any of their inherent value. In this case, the retirement account is not a liquid asset as it is designed to hold your money until retirement age, and given that Cesar is 35 years old so he has not reached retirement age.

8 0

4 years ago

Find the explicit solution for:<br> dX/dt=(x-1)(2x-1), ln(2x-1/x-1)=t

LiRa [457]

$\dfrac{\mathrm dx}{\mathrm dt}=(x-1)(2x-1)$

is a separable ODE, as

$\dfrac{\mathrm dx}{(x-1)(2x-1)}=\mathrm dt$

Decompose the left side into partial fractions:

$\dfrac1{(x-1)(2x-1)}=\dfrac1{x-1}-\dfrac2{2x-1}$

Then integrating both sides gives

$\displaystyle\int\left(\frac1{x-1}-\frac2{2x-1}\right)\,\mathrm dt=\int\mathrm dt$

$\ln|x-1|-\ln|2x-1|=t+C$

Solve for $x(t)$ :

$\ln\left|\dfrac{x-1}{2x-1}\right|=t+C$

$\dfrac{x-1}{2x-1}=e^{t+C}=Ce^t$

$x-1=(2x-1)Ce^t$

$x(1-2Ce^t)=1-Ce^t$

$\implies\boxed{x(t)=\dfrac{1-Ce^t}{1-2Ce^t}}$

8 0

3 years ago

Look at the shaded triangle. Describe two ways of drawing the square design below using any combination of translations, reflect

Hatshy [7]

<span>We have to describe two ways of drawing the square from the shadded figure: 1. Reflect the figure ( triangle ) across the x-axis, after that rotate it around the origin 90 degrees clockwise and than reflect over the y-axis. 2 . Rotate the figure around the origin 90 degrees clockwise. Then reflect across y-axis. Finally, rotate it around the origin 90 degrees counterclockwise. </span>

7 0

3 years ago

Read 2 more answers

Let x=-11/4 and y=-11/8

zmey [24]

Answer:

x= -2 3/4

y = -1 3/8

Step-by-step explanation:

3 0

2 years ago