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Effectus [21]
3 years ago
12

Factor completely 2n^2+3n-9

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
7 0
The answer is
(2n-3)(n+3)

i hope this helps :)
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About how many molecules of water are in a swimming pool that holds 200 m^3 of water ? Write your answer in scientific notation
ddd [48]
<span>metric is very conveinient
1gram=1cm^3 of water
1m^3=1,000,000,000 grams

water is 18.015 grams per mole
(1,000,000 grams water)/(18.015 grams/mole) = 55509.3 moles

there are 6.02e23 molecules in 1 mole of water so
55509.3 moles * (6.0221E23) = 3.3428E27 molecules of water </span>in 1m^3 of water
so we have200 of those
200 times <span>3.3428E27=6.6856E29 molecules

answer is </span><span>6.6856 times 10^29 mlecules</span>
4 0
4 years ago
Find the value of x. Write the answer as a fraction in simplest form or a decimal rounded to the nearest hundredth
Veronika [31]

Answer:

13.85

Step-by-step explanation:

4 0
3 years ago
. Shanice is making a garden. The area of the garden is 24 ft2. Use the following shape and information to find the base (6−4) a
crimeas [40]

Answer:

The base and height  of the garden are 4.60 ft and 5.60 ft.

Step-by-step explanation:

The area of the garden is, <em>A</em> = 24 ft².

The base height of the garden are:

base (<em>b</em>) = 6x - 4

height (<em>h</em>) = x + 3

Compute the value of <em>x</em> as follows:

A=\frac{1}{2}\times b \times h\\\\24=\frac{1}{2}\times (6x-4) \times (x+3)\\\\48=6x^{2}+18x-4x-12\\\\6x^{2}+14x-60=0\\\\3x^{2}+7x-30=0\\

The last equation is a quadratic equation.

Compute the roots of the quadratic equation as follows:

x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }\\x = \frac{ -14 \pm \sqrt{14^2 - 4(3)(-30)}}{ 2(3) }\\x = \frac{ -14 \pm \sqrt{556}}{ 6 }\\x = \frac{ -14 }{ 6 } \pm \frac{2\sqrt{139}\, }{ 6 }\\x = -\frac{ 7}{  3 } \pm \frac{ \sqrt{139}\, }{  3 }\\x = 1.59661\\x\approx 1.60

The value of base and height are:

\text{base}=6x-4=(6\times 1.60)-4=5.60\ \text{ft}\\\\\text{height}=x+3=1.60+3=4.60\ \text{ft}

Thus, the base and height  of the garden are 4.60 ft and 5.60 ft.

3 0
3 years ago
: Write the equation of the line in Point-Slope Form given the information below. Slope=-2 Point=(1,-1)
natulia [17]

Answer: y+1=-2(x-1)

Step-by-step explanation:

The point-slope formula is y-y_{1}=m(x-x_{1}). Since we know the coordinate and slope, we can directly plug them in.

y-(-1)=-2(x-1)

y+1=-2(x-1)

6 0
3 years ago
How does lack of sleep affect risk of injury?
prohojiy [21]

Answer:

D. It interferes with motor responses

Step-by-step explanation:

Don't ask why I know this

8 0
3 years ago
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