Ask question

Ask question

All categories

3 years ago

9

Timothy is putting fertilizer on a field after planting some crops. The directions on the barrel state to use 0.75 quarts for ea

ch acre of land. Approximately how much fertilizer will Timothy need for two fields, one that is 22.5 acres and one that is 38.25 acres?

1 answer:

Rzqust [24]3 years ago

3 0

Answer

Find out the how much fertilizer will Timothy need for two fields, one that is 22.5 acres and one that is 38.25 acres .

To proof

As given

Timothy is putting fertilizer on a field after planting some crops.

The directions on the barrel state to use 0.75 quarts for each acre of land.

Timothy need for two fields, one that is 22.5 acres and one that is 38.25 acres

First case

Fertilizer used for the 22.5 acres field = 22.5× 0.75

= 16.875 quarts

Second case

Fertilizer used for the 38.25 acres field = 38.25× 0.75

= 28.6875 quarts

Total fertilizer used in two field = 16.875 quarts + 28.6875 quarts

= 45.5625

= 45.563 quarts ( approx )

Hence proved

You might be interested in

Replace the ? with one of the following symbols (<, >, =, or ≠) for 4 + 3 + 7 ? 7 + 0 +7 A. > B. ≠ C. = D. <

ExtremeBDS [4]

What do you mean as that

6 0

2 years ago

Suppose that \nabla f(x,y,z) = 2xyze^{x^2}\mathbf{i} + ze^{x^2}\mathbf{j} + ye^{x^2}\mathbf{k}. if f(0,0,0) = 2, find f(1,1,1).

lesya [120]

The simplest path from (0, 0, 0) to (1, 1, 1) is a straight line, denoted $C$ , which we can parameterize by the vector-valued function,

$\mathbf r(t)=(1-t)(\mathbf i+\mathbf j+\mathbf k)$

for $0\le t\le1$ , which has differential

$\mathrm d\mathbf r=-(\mathbf i+\mathbf j+\mathbf k)\,\mathrm dt$

Then with $x(t)=y(t)=z(t)=1-t$ , we have

$\displaystyle\int_{\mathcal C}\nabla f(x,y,z)\cdot\mathrm d\mathbf r=\int_{t=0}^{t=1}\nabla f(x(t),y(t),z(t))\cdot\mathrm d\mathbf r$

$=\displaystyle\int_{t=0}^{t=1}\left(2(1-t)^3e^{(1-t)^2}\,\mathbf i+(1-t)e^{(1-t)^2}\,\mathbf j+(1-t)e^{(1-t)^2}\,\mathbf k\right)\cdot-(\mathbf i+\mathbf j+\mathbf k)\,\mathrm dt$

$\displaystyle=-2\int_{t=0}^{t=1}e^{(1-t)^2}(1-t)(t^2-2t+2)\,\mathrm dt$

Complete the square in the quadratic term of the integrand: $t^2-2t+2=(t-1)^2+1=(1-t)^2+1$ , then in the integral we substitute $u=1-t$ :

$\displaystyle=-2\int_{t=0}^{t=1}e^{(1-t)^2}(1-t)((1-t)^2+1)\,\mathrm dt$

$\displaystyle=-2\int_{u=0}^{u=1}e^{u^2}u(u^2+1)\,\mathrm du$

Make another substitution of $v=u^2$ :

$\displaystyle=-\int_{v=0}^{v=1}e^v(v+1)\,\mathrm dv$

Integrate by parts, taking

$r=v+1\implies\mathrm dr=\mathrm dv$

$\mathrm ds=e^v\,\mathrm dv\implies s=e^v$

$\displaystyle=-e^v(v+1)\bigg|_{v=0}^{v=1}+\int_{v=0}^{v=1}e^v\,\mathrm dv$

$\displaystyle=-(2e-1)+(e-1)=-e$

So, we have by the fundamental theorem of calculus that

$\displaystyle\int_C\nabla f(x,y,z)\cdot\mathrm d\mathbf r=f(1,1,1)-f(0,0,0)$

$\implies-e=f(1,1,1)-2$

$\implies f(1,1,1)=2-e$

3 0

3 years ago

What is the value of x?<br><br> 8x−10−4x=−12(12x−20)

madreJ [45]

What is the value of X?

Simplify:
8x - 10 - 4x = - 12(12x - 20)

Simplify both sides:
8x - 10 - 4x = - 12(12x -20)

8x + - 10 + - 4x = (- 12)(12x) + ( -12)(- 20)
(Distribute:)
8x + - 10 + - 4x = 144x 240

(8x + - 4x) + ( -10) = - 144x + 240 (Combine Like Terms:)

4x + - 10 = - 144x + 240

4x - 10 = - 144x + 240

Add - 144x to both sides:

4x - 10 + 144x = - 144x + 240 + 144x

148x - 10 = 240

Add 10 to both sides:

148x - 10 + 10 = 240 + 10

148x = 250

Divide both sides by 148

148x/148 = 250/148

x = 125/74

Answer: x = 125/74 (Decimal: 1.689189)

Hope that helps!!!!

3 0

3 years ago

Convert 17.42 m to customary units. A.57'-17/8" B. 36-10 1/2" C. 442 1/2" D. 367/8" E. None of these answers is reasonable.

mars1129 [50]

Answer:

Option E - None of these answers is reasonable.

Step-by-step explanation:

To find : Convert 17.42 m to customary units ?

Solution :

The customary units is defined as the measure length and distances in the customary system are inches, feet, yards, and miles.

The options belong to feet and inches.

We have to convert meter into inches, feet.

Meter into feet,

$1 \text{ feet} = 0.3048 \text{ meter}$

$1 \text{ meter} = \frac{1}{0.3048}\text{ feet}$

$17.42 \text{ meter} = \frac{17.42}{0.3048}\text{ feet}$

$17.42 \text{ meter} = \frac{174200}{3048}\text{ feet}$

$17.42 \text{ meter} =57 \frac{464}{3048}\text{ feet}$

$17.42 \text{ meter} =57 \frac{58}{381}\text{ feet}$

Now, Feet into inches

$1 \text{ feet} = 12\text{ inches}$

$\frac{58}{381} \text{ feet} = 12\times \frac{58}{381}\text{ inches}$

$\frac{58}{381} \text{ feet} =\frac{232}{381}\text{ inches}$

i.e. $17.42 \text{ meter} =57\text{ feet }\frac{232}{381}\text{ inches}$

or $17.42 \text{ meter} =57'\frac{232}{381}''$

None of these answers is reasonable.

Therefore, Option E is correct.

5 0

3 years ago

Write an equation for this graph please help me I'm begging u

bekas [8.4K]

First, solve for the slope. This can be found by looking at the y and x intercepts. At x = 0, y = 1.5. At x = 2, y = 0.

Slope is defined as Δy/Δx, or the change in y over the change in x. This means that in order to calculate the slope, you must find the difference between the values of y and divide it by the difference in the values of x for the two points to determine the slope between them.

(0 - 1.5)/(2-0) = (-1.5)/2 = -0.75 or -3/4

Now that you have the slope, we can write the equation in slope intercept form, y = mx + b, where m is the slope we calculated and b is the y intercept, 1.5.

y = (-3/4)x + 1.5

4 0

3 years ago