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kenny6666 [7]
3 years ago
14

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:

<h3>n=1,</h3>

=5

<h3>n =2,</h3>

=15

<h3>n=3</h3>

=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

n = 2 \\ 4 {n}^{2}  - 2n + 3 \\ 4 \times 2 \times 2 - 2 \times 2 + 3 \\ 16 - 4 + 3 \\ 12 + 3 \\ =  15

n = 3 \\ 4 {n}^{2}  - 2n + 3 \\ 4 \times 3 \times 3 - 2 \times 3 + 3 \\ 36 - 6 + 3 \\36 - 3 \\  = 33

8 0
3 years ago
If measure of angle 1 = 2x+6 and measure of angle 2 = 8x+4 where angles 1 and 2 are supplementary, then how much is the actual m
nlexa [21]

Answer:

The actual measure of ∠1 = 40°

Step-by-step explanation:

We are given: ∠1 = 2x+6 and ∠2 = 8x+4

and both angles are supplementary. we need to find the actual measure of ∠1

Supplementary angles: If the angles are supplementary their sum is equal to 180°

In our case ∠1 +∠2 = 180°

2x+6+8x+4=180

Solving the equation to find x, then we can find the actual measure of ∠1

2x+6+8x+4=180\\10x+10=180\\10x=180-10\\10x=170\\x=170/10\\x=17

So, value of x = 17

Now, finding actual measure of ∠1 by putting x=17 in equation 2x+6

\angle1=2(17)+6\\\angle1=34+6\\\angle1=40

So, the actual measure of ∠1 = 40°

8 0
3 years ago
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