Please help due soon. The choices are plan a,b,c, and non of them

Suppose that farmers grew an unexpectedly large number of tomatoes this year. How would this increase in production affect the p

Stella [2.4K]

Then, the rate of tomatoes would decrease......

6 0

3 years ago

Read 2 more answers

Jalene lost 12 pounds in the first 3 weeks of his diet if he lost a total of 84 pounds how many weeks did it take him

sertanlavr [38]

Answer:

21 weeks.

Step-by-step explanation:

To start, you have to get the pounds lost per week.

12/3=4

4 pounds lost per week.

Next, find out how many weeks it takes by solving this equation,

4x=84

Divide 84/4=21

Therefore, it took 21 weeks to lose 84 pounds.

6 0

2 years ago

A norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular. Find the dimensions of a norman

Yanka [14]

Answer:

$W\approx 8.72$ and $L\approx 15.57$ .

Step-by-step explanation:

Please find the attachment.

We have been given that a norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular. The total perimeter is 38 feet.

The perimeter of the window will be equal to three sides of rectangle plus half the perimeter of circle. We can represent our given information in an equation as:

$2L+W+\frac{1}{2}(2\pi r)=38$

We can see that diameter of semicircle is W. We know that diameter is twice the radius, so we will get:

$2L+W+\frac{1}{2}(2r\pi)=38$

$2L+W+\frac{\pi}{2}W=38$

Let us find area of window equation as:

$\text{Area}=W\cdot L+\frac{1}{2}(\pi r^2)$

$\text{Area}=W\cdot L+\frac{1}{2}(\pi (\frac{W}{2})^2)$

$\text{Area}=W\cdot L+\frac{\pi}{2}(\frac{W}{2})^2)$

$\text{Area}=W\cdot L+\frac{\pi}{2}(\frac{W^2}{4})$

$\text{Area}=W\cdot L+\frac{\pi}{8}W^2$

Now, we will solve for L is terms W from perimeter equation as:

$L=38-(W+\frac{\pi }{2}W)$

Substitute this value in area equation:

$A=W\cdot (38-W-\frac{\pi }{2}W)+\frac{\pi}{8}W^2$

Since we need the area of window to maximize, so we need to optimize area equation.

$A=W\cdot (38-W-\frac{\pi }{2}W)+\frac{\pi}{8}W^2$

$A=38W-W^2-\frac{\pi }{2}W^2+\frac{\pi}{8}W^2$

Let us find derivative of area equation as:

$A'=38-2W-\frac{2\pi }{2}W+\frac{2\pi}{8}W$

$A'=38-2W-\pi W+\frac{\pi}{4}W$

$A'=38-2W-\frac{4\pi W}{4}+\frac{\pi}{4}W$

$A'=38-2W-\frac{3\pi W}{4}$

To find maxima, we will equate first derivative equal to 0 as:

$38-2W-\frac{3\pi W}{4}=0$

$-2W-\frac{3\pi W}{4}=-38$

$\frac{-8W-3\pi W}{4}=-38$

$\frac{-8W-3\pi W}{4}*4=-38*4$

$-8W-3\pi W=-152$

$8W+3\pi W=152$

$W(8+3\pi)=152$

$W=\frac{152}{8+3\pi}$

$W=8.723210$

$W\approx 8.72$

Upon substituting $W=8.723210$ in equation $L=38-(W+\frac{\pi }{2}W)$ , we will get:

$L=38-(8.723210+\frac{\pi }{2}8.723210)$

$L=38-(8.723210+\frac{8.723210\pi }{2})$

$L=38-(8.723210+\frac{27.40477245}{2})$

$L=38-(8.723210+13.70238622)$

$L=38-(22.42559622)$

$L=15.57440378$

$L\approx 15.57$

Therefore, the dimensions of the window that will maximize the area would be $W\approx 8.72$ and $L\approx 15.57$ .

8 0

3 years ago

I need answers to all of these. Please help!! I suck at math..

RSB [31]

1) (-4) + (-9) = -13

2) 5 + (-12) = -7

3) -6 + 5 = -1

4) -7 + 7 = 0

5) -7 + 2 ___ 3 + (-9)

- 5 ____ - 6

-7 + 2 > 3 + (-9)

6) 4 + (-8) ___ 6 + (-8) + (-6)

- 4 ____ - 8

4 + (-8) > 6 + (-8) + (-6)

7) $66

8) -$12

6 0

3 years ago

Suppose that the probability that a customer plans to make a purchase is 0.32. Suppose that the probability of responding to an

Elanso [62]

Answer:

0.6495

Step-by-step explanation:

This is question based on conditional probability

The probability that a customer plans to make a purchase = 0.32.

The probability that a customer plans not to make a purchase = 1 - 0.32

= 0.68

The probability of responding to an advertisement given that the customer plans to make a purchase = 0.63

The probability of responding to an advertisement given that a person does not plan to make a purchase = 0.16.

Given that a person responds to the advertisement, what is the probability that they plan to make a purchase is calculated as:

0.32 × 0.63/(0.32 × 0.63) + (0.16 × 0.68)

= 0.2016/ 0.2016 + 0.1088

= 0.2016/0.3104

= 0.6494845361

Approximately = 0.6495

8 0

3 years ago

Please help due soon.The choices are plan a,b,c, and non of them