Lisa can paint a wall in four hours. Sissi needs eight hours to paint the wall. How long will it take if they are helped?

Mathematics

1 answer:

never [62]3 years ago

4 0

Answer:

It will take very less time actually. we cannot say accurately because if two girls start to chat they will till next day

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A diver dives from the board at a local swimming pool. Her height, y, in metres, above the water in terms of her horizontal dist

Aneli [31]

Answer:

4 meters

Step-by-step explanation:

Given a quadratic equation in which the coefficient of $x^2$ is negative, the parabola opens up and has a maximum point. This maximum point occurs at the line of symmetry.

Since the divers height, y is modeled by the equation

$y= -x^2 + 2x + 3$

Step 1: Determine the equation of symmetry

In the equation above, a=-1, b=2, c=3

Equation of symmetry, $x=-\dfrac{b}{2a}$

$x=-\dfrac{2}{2*-1}\\x=1$

Step 2: Find the value of y at the point of symmetry

That is, we substitute x obtained above into the y and solve.

$y(1)= -1^2 + 2(1) + 3=-1+2+3=4m$

The maximum height of the diver is therefore 4 meters.

8 0

3 years ago

Choose the correct simplification of the expression (c2)9.

Lapatulllka [165]

The correct simplification of the expression is 9c^2 i think.

5 0

3 years ago

Read 2 more answers

A country's population in 1994 was 182 million. In 2002 it was 186 million. Estimate the population in 2004 using the exponentia

iogann1982 [59]

$\bf =ae^{kt}\qquad 
\begin{cases}
1994\impliedby \textit{year 0, starting point}\\
t=0\qquad P=182
\end{cases}\implies 182=ae^{k0}
\\\\\\
182=a\cdot e^0\implies 182=a\cdot 1\implies 182=a
\\\\\\
thus\qquad P=182e^{kt}\\\\
-------------------------------\\\\$

$\bf P=182e^{kt}\qquad 
\begin{cases}
2002\impliedby \textit{8 years later}\\
t=8\qquad P=186
\end{cases}\implies 186=182e^{k8}
\\\\\\
\cfrac{186}{182}=e^{8k}\implies ln\left( \frac{93}{91} \right)=ln(e^{8k})\implies ln\left( \frac{93}{91} \right)=8k
\\\\\\
\cfrac{ln\left( \frac{93}{91} \right)}{8}=k\implies 0.0027\approx k\implies \boxed{P=182e^{0.0027t}}$

what's the population in 2004? well, from 1994 to 2004 is 10 years later, so t = 10

plug that in, to get P for 2004

3 0

3 years ago

Generate the first three terms of the following sequence 4n² - 2n + 3

Jet001 [13]

Answer:

=15

=33

Step-by-step explanation:

$n = 1 \\ 4 {n}^{2} - 2n + 3 \\ 4 \times 1 \times 1 - 2 \times 1 + 3 \\ 4 - 2 + 3 \\ 2 + 3 \\ = 5$