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3 years ago

The rectangular floor of a classroom is 40 feet in length and 32 feet in width. A scale

Mathematics

1 answer:

m_a_m_a [10]3 years ago

5 0

Answer:

82 inches

Step-by-step explanation:

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Subtract the cube root of the product of h and 3k from the square of the sum of p and q

ehidna [41]

Answer:

(p + q)² - ∛(h·3k) or (p + q)² - ∛(h·3k)

Step-by-step explanation:

Cube root of x: ∛x

Product of h and 3k: h·3k

Sum of p and q: p + q

*****************************

From (p + q)² subtract ∛(h·3k) This becomes, symbolically:

=> (p + q)² - ∛(h·3k)

3 0

3 years ago

Find the value of x and y in parallelogram WXYZ.

navik [9.2K]

Answer:

x = 13, y = 7

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, thus

x - 7 = 6 ( add 7 to both sides )

x = 13

and

2y - 6 = 8 ( add 6 to both sides )

2y = 14 ( divide both sides by 2 )

y = 7

3 0

3 years ago

The graph above shows the cost of renting a scooter. If Jessica drove the scooter 2 miles, how much did it cost to rent a scoote

ella [17]

A) 1.00

Just look at where the slope crosses 2 miles and then look left on the y-axis where the price is given

5 0

3 years ago

1) Use power series to find the series solution to the differential equation y'+2y = 0 PLEASE SHOW ALL YOUR WORK, OR RISK LOSING

iogann1982 [59]

$y=\displaystyle\sum_{n=0}^\infty a_nx^n$

then

$y'=\displaystyle\sum_{n=1}^\infty na_nx^{n-1}=\sum_{n=0}^\infty(n+1)a_{n+1}x^n$

The ODE in terms of these series is

$\displaystyle\sum_{n=0}^\infty(n+1)a_{n+1}x^n+2\sum_{n=0}^\infty a_nx^n=0$

$\displaystyle\sum_{n=0}^\infty\bigg(a_{n+1}+2a_n\bigg)x^n=0$

$\implies\begin{cases}a_0=y(0)\\(n+1)a_{n+1}=-2a_n&\text{for }n\ge0\end{cases}$

We can solve the recurrence exactly by substitution:

$a_{n+1}=-\dfrac2{n+1}a_n=\dfrac{2^2}{(n+1)n}a_{n-1}=-\dfrac{2^3}{(n+1)n(n-1)}a_{n-2}=\cdots=\dfrac{(-2)^{n+1}}{(n+1)!}a_0$

$\implies a_n=\dfrac{(-2)^n}{n!}a_0$

So the ODE has solution

$y(x)=\displaystyle a_0\sum_{n=0}^\infty\frac{(-2x)^n}{n!}$

which you may recognize as the power series of the exponential function. Then

$\boxed{y(x)=a_0e^{-2x}}$

7 0

3 years ago

A model of a human heart is 14 ft tall. If the scale used is 1 ft: 1/4 inch, how tall is the actual heart?

Simora [160]

The actual height of the heart is 3.5 inches

14 * .25 = 3.5 inches

I hope this helps :)

6 0

3 years ago