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Aleksandr [31]
3 years ago
8

Round 23.12 to the nearest cent

Mathematics
2 answers:
san4es73 [151]3 years ago
8 0
23.12 your welcome if that's what it is
IRINA_888 [86]3 years ago
5 0
23.13819472p17573927572o2
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Solve each system of inequalities by graphing. x>2 y<4​
Snowcat [4.5K]

Answer:

Step-by-step explanation:

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3 years ago
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Solve the inequality.<br> - 6 &lt; 2x - 4 &lt;4
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Answer:

-1 < x < 4.

Step-by-step explanation:

- 6 < 2x - 4 <4

2x - 4 < 4

2x < 8

x < 4.    Also we have:

2x - 4 > -6

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2 years ago
Two number cubes are rolled.
Olegator [25]
Cubes have 6 numbers
3 odd, 3 even

probablity=desiredoutcome/totalpossibleoutcomes
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3 0
3 years ago
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You are a lifeguard and spot a drowning child 60 meters along the shore and 40 meters from the shore to the child. You run along
sukhopar [10]

Answer:

The lifeguard should run across the shore a distance of 48.074 m before jumpng into the water in order to minimize the time to reach the child.

Step-by-step explanation:

This is a problem of optimization.

We have to minimize the time it takes for the lifeguard to reach the child.

The time can be calculated by dividing the distance by the speed for each section.

The distance in the shore and in the water depends on when the lifeguard gets in the water. We use the variable x to model this, as seen in the picture attached.

Then, the distance in the shore is d_b=x and the distance swimming can be calculated using the Pithagorean theorem:

d_s^2=(60-x)^2+40^2=60^2-120x+x^2+40^2=x^2-120x+5200\\\\d_s=\sqrt{x^2-120x+5200}

Then, the time (speed divided by distance) is:

t=d_b/v_b+d_s/v_s\\\\t=x/4+\sqrt{x^2-120x+5200}/1.1

To optimize this function we have to derive and equal to zero:

\dfrac{dt}{dx}=\dfrac{1}{4}+\dfrac{1}{1.1}(\dfrac{1}{2})\dfrac{2x-120}{\sqrt{x^2-120x+5200}} \\\\\\\dfrac{dt}{dx}=\dfrac{1}{4} +\dfrac{1}{1.1} \dfrac{x-60}{\sqrt{x^2-120x+5200}} =0\\\\\\  \dfrac{x-60}{\sqrt{x^2-120x+5200}} =\dfrac{1.1}{4}=\dfrac{2}{7}\\\\\\ x-60=\dfrac{2}{7}\sqrt{x^2-120x+5200}\\\\\\(x-60)^2=\dfrac{2^2}{7^2}(x^2-120x+5200)\\\\\\(x-60)^2=\dfrac{4}{49}[(x-60)^2+40^2]\\\\\\(1-4/49)(x-60)^2=4*40^2/49=6400/49\\\\(45/49)(x-60)^2=6400/49\\\\45(x-60)^2=6400\\\\

x

As d_b=x, the lifeguard should run across the shore a distance of 48.074 m before jumpng into the water in order to minimize the time to reach the child.

7 0
3 years ago
Factor the expression: 14x + 21y – 7z
lozanna [386]

Answer:

7 ( 2x + 3y - z)

Step-by-step explanation:

To factor this expression, you need to find the GCF, which is 7.

7 ( 2x + 3y - z)

7 0
3 years ago
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