What is the value of this expression 1/4−3 ? 12 1/12 64 1/64

To the nearest cent, what is the cost of 10.2 gallons of gasoline at $2.439 per gallon

Daniel [21]

$2.439*10.2$
Multiply without the decimal points, then put the decimal point in the answer
$2439*102=248778$
2.439 has 3 decimal places
10.2 has 1 decimal place
Therefore, the answer has 4 decimal places
$= 24.8778$

7 0

4 years ago

Read 2 more answers

Ben bought 4 pairs of jeams and a tshirt that cost 7 he had a cupon for 3 off the price of each pair of jeans amd spent a total

Nimfa-mama [501]

The dependent variable is the cost of the jeans since it depends on how many jeans Ben bought. An equation that represents the situation is (4j - 12) + 7 = 92

8 0

3 years ago

A model used for the yield Y of an agricultural crop as a function of the nitrogen level N in the soil ) (measured in appropriat

il63 [147K]

Answer:

A nitrogen level of 1 gives the best yield.

Step-by-step explanation:

We are given the following:

Yield Y of an agricultural crop as a function of the nitrogen level N in the soil

$Y(N) = \displaystyle\frac{kN}{1+N^2}$

First, we differentiate Y(N) with respect to N, to get,

$\displaystyle\frac{d(Y(N))}{dN} = \displaystyle\frac{d}{dN}\Bigg(\displaystyle\frac{kN}{1+N^2}\Bigg)\\\\= \frac{(1+N^2)k-kN(2N)}{(1+N^2)^2}\\\\=\frac{k-kN^2}{(1+N^2)^2}$

Equating the first derivative to zero, we get,

$\displaystyle\frac{d(Y(N))}{dN} = 0\\\\\Rightarrow \frac{k-kN^2}{(1+N^2)^2} = 0$

Solving, we get,

$\displaystyle\frac{k-kN^2}{(1+N^2)^2} = 0\\\\k-kN^2 = 0\\k(1-N^2) = 0\\k \neq 0\\1-N^2 = 0\\N = \pm 1\\N \neq -1\\N = 1$

Again differentiation Y(N), with respect to N, we get,

$\displaystyle\frac{d^2(Y(N))}{dN^2} = \displaystyle\frac{2kN(N^2-3)}{(1+N^2)^3}$

At N = 1

$\frac{d^2(Y(N))}{dN^2} < 0$

Thus, by double derivative test, the maximum value of Y(N) occurs at N = 1.

Thus, largest yield of crop is given by:

Y(1) =

$Y(N) = \displaystyle\frac{k(1)}{1+(1)^2} = \frac{k}{2}$

6 0

4 years ago

What’s the inequality of 4n-8<40

Akimi4 [234]

Answer:

n < 12

Step-by-step explanation:

Step 1: Add 8 to both sides to get n by itself

4n - 8 + 8 < 40 + 8

4n < 48

Step 2: Divide both sides by 4 to get n by itself

4n / 4 < 48 / 4

n < 12

Answer: n < 12

3 0

3 years ago

Help ASAP GeOMETRY find X,Y,Z pleasee

Romashka-Z-Leto [24]

The tangent and the line form two supplementary angles.
Since one angle measures 123 deg, angle z measures 180 - 123 = 57
z = 57

To find x:

123 = (1/2)x

x = 246

To find y:

z = (1/2)y

y = 2z = 2(57) = 114

Answers:
x = 246
y = 114
z = 57

4 0

3 years ago