Answer:
see below
Step-by-step explanation:
27.
We can use ratios to solve
152 dollars 532 dollars
---------------- = ----------------
4 days x days
Using cross products
152x = 4*532
152x =2128
Divide each side by 152
152x/152 = 2128/152
x =14
14 days
29.
1 inch 2/3 inches
------------ = ----------------
6.5 ft x ft
Using cross products
1x = 2/3 * 6.5
x = 4.333333
c = 4 1/3 ft
The polynomial is (mx^3+3)(2x²+5x+2)-(8x^5 +20x^4)
if it is reduced to 8x^3+6x²+15x+6, so we can find the value of m
(mx^3+3)(2x²+5x+2)-(8x^5+20x^4) = <span>8x^3+6x²+15x+6
</span>2mx^5+5mx^4+2mx^3+6x²+15x+6-8x^5-20x^4=<span>8x^3+6x²+15x+6
</span>2mx^5+5mx^4+2mx^3=8x^3+6x²+15x+6-6x²-15x-6+ <span>8x^5+20x^4
</span>= 8x^5+20x^4+<span>8x^3= 4(2x^5+5x^4+2x^3)
finally
</span>m(2x^5+5x^4+2x^3)=<span>4(2x^5+5x^4+2x^3), and after simplification
</span>
C: m=4
<span>4. When the expression is factored x²-3x-18 completely,
</span>
one of its factor is x-6
<span>x²-3x-18=0
</span>D= 9-4(-18)= 81, sqrtD=9 x=3-9/2= -6/2= -3, and x=3+9 / 2= 6
so <span>x²-3x-18= (x-6)(x+6)
</span>
Hello!
To find the volume of the water, we would need to use the density formula. The density formula is d = m/V.
In this formula, d is the density, m is the mass and V is the volume.
1. To find the volume of 100 grams of ice, we substitute the appropriate values into the formula and solve for the volume using basic algebra.
0.92g/cm³ = 100g/V (multiply both sides by V)
0.92g/cm³ · V = 100g (divide both sides by 0.92g/cm³)
V = 108.69 cm³.
The volume of 100 grams of ice is about 108.69 cm³.
2. To find the volume of the completely melted ice, we would use the same formula, but the density is now 1.00 g/mL.
1.00g/mL = 100g/V (multiply both sides by V)
1.00g/mL · V = 100g (divide both sides by 1.00g/mL)
V = 100 mL
Therefore, the volume of the melted ice is 100 mL.
<u>Final answers</u>:
- 108.69 g/cm³
- 100 mL
First let's get rid of the parenthesis:
12 - 4x + 3x = 4 + 10 + 2x
Now group the x's on the left and the numbers on the right
-4x + 3x - 2x = 4 + 10 - 12
...and simplify
-3x = 2
divide by -3 to isolate x
x = -2/3
Answer:
Search to find the detailed rainfall collections if you want more detailed rainfall intensity data. If all available is monthly average in mm, take the monthly average and divide by number of hours in that month. So if you had 300 mm in April, take 360 mm/(30 days * 24 hours) = 0.5 mm/hour average monthly intensity. so that's it
