Answer:
The quadratic equation 
has no real solution.
Step-by-step explanation:
Rewrite the quadratic equation in the standard form 
:
, for which:
The quadratic discriminant of is 
. The quadratic discriminant of would be:
.
Since the quadratic discriminant of this equation is negative, this quadratic equation has no real solution.
<span>The word problem gives a rate of oil consumption at a rate of 25 gallons per 3 hours and 45 minutes. 3 hours and 45 minutes can be displayed as 3.75 hours. so you can say the generator consumes oil at a rate of 25 gallons per 3.75 hours. The following equation give you the oil consumption on a per hour basis; 25/3.75 and that gives you 6.67 gallons per hour. In 6 hours the generator will consume 40 gallons.</span>
Answer:
736cm²
Step-by-step explanation:
The surface area of a regular pyramid is equal to:
area of the square base + 1/2ps
where p is the perimeter of the base and
s is the height of the slant line of the pyramid.
In your drawing s = 15cm and the base has four equal lengths of 16cm
So first find the area of the base. Since this is a square, the area is just the
length x the width or 16cm x 16cm = 256cm²
(p) is the perimeter of the base. Find this by adding all four side of the bottom square together which is 16cm + 16cm + 16cm + 16cm or 4 x 16cm which is 64cm.
You already were given (s) which is the height of the slanted side from the base to the pointed top. The drawing gives you this as 15cm.
So plugging all this into the formula, you get:
Surface Area = Area of Base + 1/2 p s
= 256 cm² + [1/2 ( 64cm )(15cm)]
= 256 cm² + {1/2 ( 960 cm²)]
= 256 cm² + 480 cm²
= 736 cm²
Answer:
25 + x = 44
Step-by-step explanation:
Substitute the words with the math symbols.
25 more than a number x is the same as 44
more than means to +
is the same as means =
25 more than a number x is the same as 44
25 + x = 44
25 + x = 44
Answer:
f(x) = 86(1.04)x; grows approximately at a rate of 0.4% daily
Step-by-step explanation:
The base of the exponential function is 1.29 for 7 days, as in
f(x) = 86*(1.29)^x
The new rate for days can be calculated by dividing x by 7 (where x remains the number of weeks), namely
f(x) = 86*1.29^(x/7)
Using the law of exponents, b^(x/a) = b^(x*(1/a)) = (b^(1/a))^x
we simplify by putting b=1.29, a=7 to get
f(x) = 86*(1.29^(1/7))^x
f(x) = 86*(1.037)^x since 1.29^(1/7) evaluates to 1.037
Rounding 1.037 to 1.04 we get a (VERY) approximate function
.
.
.