See image thanks so much!!! it’s about dilations

Julie and Eric row their boat (at a constant speed) downstream for 40 miles in 4 hours, helped by the current. Rowing at the sam

Liula [17]

Answer: 3 miles per hour

Step-by-step explanation:

Use the formula "distance (d) = rate (r) x time (t)" to create a system of equations.

Let "r" represent the rate they are rowing

Let "c" represent the current

time rate distance EQUATION

Downstream: 4 hours r + c 40 miles 4(r + c) = 40

Upstream: 10 hours r - c 40 miles 10(r - c) = 40

Distribute, then eliminate r to solve for c:

Down: 4r + 4c = 40 → 5(4r + 4c = 40) → 20r + 20c = 200

Up: 10r - 10c = 40 → -2(10r - 10c = 40) → -20r + 20c = -80

40c = 120

÷40 ÷40

c = 3

4 0

3 years ago

( 3 x 2 ) ^ 4 x 3 ^ -3 / 2 ^ 3 x 3 = Simplify the exponential expression

Korvikt [17]

Answer:

2

Step-by-step explanation:

$\frac{(3*2)^4*3^{-3}}{2^3*3}$

we start simplifying by removing the parenthesis

Multiply the exponents inside the the parenthesis

3^4 * 2^4

$\frac{3^4*2^4*3^{-3}}{2^3*3}$

Now we apply exponential property

a^m * a^n = a^ (m+n)

3^4 * 3^-3 = 3^ (4-3) = 3^1

3 or 3^1 are same

$\frac{3^1*2^4}{2^3*3^1}$

3^1 at the top and bottom so we cancel it out

\frac{2^4}{2^3}

we apply log property . a^m / a^n = a^m-n

Now subtract the exponents

2^(4-3) = 2^1 = 2

4 0

3 years ago

Write a function for the situation discribed and find the value after 5 yrs. A $12,500 car depreciates 9% each year. Please help

sweet [91]

$\bf \qquad \textit{Amount for Exponential Decay}\\\\
A=P(1 - r)^t\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{initial amount}\to &12500\\
r=rate\to 9\%\to \frac{9}{100}\to &0.09\\
t=\textit{elapsed time}\\
\end{cases}
\\\\\\
A=12500(1-0.09)^t\implies A=12500(0.91)^t
\\\\\\
\textit{after 5 years t = 5}\qquad A=12500(0.91)^5$

and surely you know how much that is.

5 0

3 years ago

In this assignment, your team is managing a software development project with a total project budget of $178,500. Total work eff

gavmur [86]

Answer:

im lost good luck

Step-by-step explanation:

4 0

3 years ago

Sue has 18 sweets.

Rufina [12.5K]

Answer:

s = 13 - x

t = $\frac{18+x}{2}$

Step-by-step explanation:

To start out with:

s = 18

t = 18

Sue gives Tony x sweets

s = 18 - x

t = 18 + x

Sue then eats 5 of her sweets

s = 18 - x - 5 = 13 - x

t = 18 + x

Tony eats half of his sweets

s = 13 - x

t = $\frac{18+x}{2}$

(Possible constraint that $x\mod 2 = 0$ )

4 0

3 years ago