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just olya [345]

3 years ago

12

When energy from the Sun heats up the a puddle of water, the water in the puddle _________ into the air. A) runs off B) condense

s C) evaporates D) precipitates

2 answers:

irina1246 [14]3 years ago

7 0

Answer:

c-evaporates

Step-by-step explanation:

creativ13 [48]3 years ago

3 0

Answer:

The puddle of water will evaporate

Step-by-step explanation:

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Last month, a carpenter made 2 tables. This month, he made 50% fewer tables. How many tables did the carpenter make this month?

blsea [12.9K]

Answer:

1

Step-by-step explanation:

2 divided by 2

8 0

2 years ago

Read 2 more answers

-10b + 5 = 7b + 5 .<br> ANSWER ASAP<br> Show step by step on paper please.

Lynna [10]

Answer:

your answer should be b= 17

3 0

3 years ago

Pam has 90 m of fencing to enclose an area in a petting zoo with two dividers to separate three types of young animals. The thre

andrew-mc [135]

Answer:

The area function is

$A=\frac{135}{2}x-\frac{9}{2}x^2$ .

The domain and range of A is $(0,15m)$ and $(0, 253.125 m^2]$ .

Step-by-step explanation:

The given length of fencing is $90 m$ .

Let the length and width of each pen be $x$ and $y$ respectively as shown in the figure.

As there are 3 pens, so, the total area,

$A= 3 xy \;\cdots (i)$

From the figure the total length of fencing is $6x+4y$ .

Here, for a significant area for the animals, $x>0$ as well as $y>0$ as $x$ and $y$ are the sides of ben.

From the given value:

$6x+4y=90\;\cdots (ii)$

$\Rightarrow y=\frac {45}{2}-\frac{3x}{2}$

Now, from equation (i)

$A=3x\left(\frac {45}{2}-\frac{3x}{2}\right)$

$\Rightarrow A=\frac{135}{2}x-\frac{9}{2}x^2\;\cdots (iii)$

This is the required area function in the terms of variable $x$ .

For the domain of area function, from equation (ii)

$x=15-\frac{2y}{3}$

$\Rightarrow x$ [as y>0]

So, the domain of area function is $(0,15m)$ .

For the range of area function:

As $x \rightarrow 0$ or $y\rightarrow 0$ , then $A\rightarrow 0$ [from equation (i)]

$\Rightarrow A>0$

Now, differentiate the area function with respect to $x$ .

$\frac {dA}{dx}=\frac{135}{2}-9x$

Equate $\frac {dA}{dx}$ to zero to get the extremum point.

$\frac {dA}{dx}=0$

$\Rightarrow \frac{135}{2}-9x=0$

$\Rightarrow x=\frac{15}{2}$

Check this point by double differentiation

$\frac {d^2A}{dx^2}=-9$

As, $\frac {d^2A}{dx^2}$ , so, point $x=\frac{15}{2}$ is corresponding to maxima.

Put this value back to equation (iii) to get the maximum value of area function. We have

$A=\frac{135}{2}\times \frac {15}{2}-\frac{9}{2}\times \left(\frac {15}{2}\right)^2$

$\Rightarrow A=253.125 m^2$

Hence, the range of area function is $(0, 253.125 m^2]$ .

4 0

3 years ago

Based on the scale drawing, what is the length, in feet, of the actual parking lot? On the drawing they have the width 12.8 cm a

aleksandrvk [35]

Answer:

The width of 48 feet is represented by 12.8cm; the length represented by 1cm is 48/12.8 = 15/4 = 3.75 feet.

The length on the drawing is 3.2cm, which is exactly 1/4 of the width of 12.8cm; therefore the length of the actual parking lot is 48/4 = 12 feet.

5 0

3 years ago

Share £40 in the ratio 1:4 between Tim and Sam

lesantik [10]

Answer:

$\£8:\£32$

Step-by-step explanation:

$\frac{40}{1+4}$

$\frac{40}{5}$

$=8$

$1:4$

$1 \times 8:4 \times 8$

$8:32$

7 0

3 years ago

Read 2 more answers