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2 years ago

6

which inequality represents all values for x for which the quotient below is defined? square root of 8x squared divided by the s

quare root of 2x

1 answer:

Strike441 [17]2 years ago

3 0

The answer is D, x > 0

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If a population of 100 cells triples every hour, which function represents p(t), the population after t hours?

tia_tia [17]

Exponential functions are in the form $f(x)=a*b^x$ , where <em>a</em> is the initial value, <em>b</em> is the growth rate (percent increase) + 1, and <em>x</em> is the number of time periods. Our initial value is 100, and we're given the growth rate + 1 (tripling is the same as increasing by 200%; 200%=2.0; 2.0+1=3). Therefore our function is $p(t)=100*3^t$ .

6 0

3 years ago

(1 point) A tank contains 2640 L of pure water. A solution that contains 0.09 kg of sugar per liter enters the tank at the rate

OverLord2011 [107]

Answer:

t=0 Sugar = 0 Kg

t=1min Sugar=0.27 Kg

Step-by-step explanation:

Data

Tank = 2640 L (pure water)

Sol=0.09kg Sugar per liter

Vin = Vout = 3L/min

Sugar in the beginning = ?

if beginning is t = 0min Amount of sugar = 0, this is due to the fact that at the moment of entering the tank the content is only water , but if beginning is t= 1min then;

$\frac{3L}{min}*\frac{0.09Kg}{L}=0.27kg/min$

7 0

3 years ago

Read 2 more answers

Find the area of the shaded region.

kolbaska11 [484]

Answer:

$\boxed{ \tt\longrightarrow \: Area \: Of \: Shaded \: region \: =\boxed{ \tt 39 \: in²}}$

Step-by-step explanation:

<u>Given:</u>

The Dimensions of Parallelogram are 12 in.(Base) and 7 in.(Height)

<em>And,</em>

The Dimensions of Rectangle are 9 in.(Length) and 5 in.(Breadth).

<u>To Find</u>:

The Area of Shaded region

<u>Solution:</u>

When the dimensions of parallelogram and the dimensions of rectangle are given, we need to find the Shaded region using this formula:

$\boxed{\tt \longrightarrow Area = (Parallelogram - Rectangle)}$

We know that the formula of Parallelogram is base*height[b×h] and the formula of rectangle is length*breadth[l*b] .

$\tt\longrightarrow \: Area =B×h-l×b$

Put their values accordingly:

$\longrightarrow \tt Area = (12 \times 7 - 9 \times 5)in {}^{2}$

<u>Simplify it.</u>

<em>[</em><em>Follow BODMAS Rule strictly while </em><em>simplifying]</em>

$\tt\longrightarrow \: Area = (84 - 45 ) in {}^{2}$

$\tt\longrightarrow \: Area = 39 \: {in}^{2}$

Hence, the Area of Shaded region would be 39 in² or 39 sq. in. .

$\rule{225pt}{2pt}$

I hope this helps!

8 0

2 years ago

Read 2 more answers

erik [133]

Answer:

47

Step-by-step explanation:

the lines are parrele which explains

why its 47

7 0

3 years ago

What is the area of a triangle

Lady bird [3.3K]

The area of a triangle is 1/2 b/h. So what you do is you find base and height, multiply them together and whatever answer you got, you divide by 2.

Example:
A= 1/2 (b x h)
A= 1/2 (4 x 6)
A= 1/2 (24)
A= 12

Hope this helps!

7 0

3 years ago