A farmer wants to fence a small rectangular yard next to a barn. Fence for side parallel to the barn will cost 55 per foot and the fence for the other two sides will cost 45 per foot. The farmer has a total of 1650 dollars to spend on the project. Find the dimensions for the yard that will have the largest possible area.

Answer:

d≈12.73cm

Step-by-step explanation:

Using the formulas

C=2πr

d=2r

Solving for d

d = c/[tex]\pi[/tex] = 40/[tex]\pi[/tex] ≈12.7324cm

Answer:

9 Inches

Step-by-step explanation:

1 feet is 0.75 inches

12 feet will be 0.75 * 12 = 9 inches

Therefore,it 9 inches.

Answer:

9 inches

Step-by-step explanation:

12 * 0.75 = 9

Answer: 9

Answer:

Step-by-step explanation:

y = 2x + 8

She know 8 songs. 8 will be the y-intercept and each month she learns 2 songs which will be the slope of the function.

Answer:

y=2x+8

Step-by-step explanation:

It's for how many songs he knows in total

2 songs a month so

songs he knows=2(number of months)+the 8 he already knows

Answer:

the slope is 2 and a=8 b=6

Step-by-step explanation:

Part (i)

I'll use H in place of T to represent the heat of the object. That way there isn't a clash of variables lowercase t vs uppercase T.

The equation we're working with is updated to:

H(t) = 22 + a*2^(bt)

Plugging in t = 0 as the initial time value should lead to the temperature being H = 86 degrees Celsius.

So,

H(t) = 22 + a*2^(bt)

86 = 22 + a*2^(b*0)

86 = 22 + a*2^0

86 = 22 + a*1

86 = 22 + a

a+22 = 86

a = 86-22

a = 64

=====================================================

Part (ii)

We'll use the value of 'a' we found earlier. Plus we'll use the fact that H = 28 when t = 0.5 (since 30 min = 30/60 = 0.5 hr).

H(t) = 22 + a*2^(bt)

28 = 22 + 64*2^(b*0.5)

28-22 = 64*2^(0.5b)

64*2^(0.5b) = 6

2^6*2^(0.5b) = 6

2^(6+0.5b) = 6

log(  2^(6+0.5b)   ) = log(6)

(6+0.5b)*log(2) = log(6)

6+0.5b = log(6)/log(2)

6+0.5b = 2.5849625

0.5b = 2.5849625-6

0.5b = -3.4150375

b = -3.4150375/(0.5)

b = -6.830075

Answer:

[tex]\sf\longmapsto \: ( \sqrt{3} - 2)x + (2 \sqrt{3 } + 1)y = - 1 + 8 \sqrt{3} [/tex]

Step-by-step explanation:

It is given that –

Slope of the first line is–

[tex]\sf\longmapsto \: m_{1} = 2[/tex]

Let,

the slope of the Another line be –

[tex]\sf\longmapsto \: m _{2}[/tex]

Now,

The angle between the two lines is 60°.

Let's start solving!

[tex]\sf\longmapsto \: \tan(60°) | \frac{ m_{1} - m_ {2} }{1 + m_{1} m_ {2}} | [/tex]

[tex]\sf\longmapsto \: \sqrt{3} = | \frac{2 -m_{2} }{1 + 2m_{2}} | [/tex]

[tex]\sf\longmapsto \: \sqrt{3} = ± \: \: ( \frac{2 -m_{2} }{1 + 2m_{2}} )[/tex]

[tex]\sf\longmapsto \: \sqrt{3} = \frac{2 -m_{2} }{1 + 2m_{2}} [/tex]

[tex]\sf\longmapsto \: \sqrt{3} (1 + 2m_{2}) = 2 - m_{2}[/tex]

[tex]\sf\longmapsto \: \sqrt{3} + 2 \sqrt{3} m_{2} + m_{2} = 2[/tex]

[tex]\sf\longmapsto \: m_{2} = \frac{2 - \sqrt{3} }{(2 \sqrt{3} + 1) } [/tex]

The equation of line passing through point (2,3) and having a slope of –

[tex]\sf\longmapsto \: m_{2} = \frac{(2 - \sqrt{3} )}{2 \sqrt{3} + 1 } [/tex]

is–

[tex]\sf\longmapsto \: (y - 3) = \frac{2 - \sqrt{3} }{2 \sqrt{3} + 1 } (x - 2)[/tex]

[tex]\sf\longmapsto \: ( 2\sqrt{3} + 1)y - 3(2 \sqrt{3} + 1) = (2 - \sqrt{3} )x - 2(2 - \sqrt{3} [/tex]

[tex]\sf\longmapsto \: ( \sqrt{3} - 2)x + (2 \sqrt{3 } + 1)y = - 1 + 8 \sqrt{3} [/tex]

Hence the equation of the other line is -

[tex]\sf\longmapsto \: ( \sqrt{3} - 2)x + (2 \sqrt{3 } + 1)y = - 1 + 8 \sqrt{3} [/tex]

Answer:

[tex]7.15*10^{-4}[/tex]

Step-by-step explanation:

[tex](8.1*10^{-4})-(9.5*10^{-5})=0.00081-0.000095\\\\=0.000715 = 7.15*10^{-4}[/tex]

Answer:

532,000

Step-by-step explanation:

10^5= 100,000

100,000 x 5.32

Move the decimal place 5 spaces to the right.

It gives you 532,000

Answer:

Step-by-step explanation:

5.32 × 10^5 =

532/100 × 100000 =

133/25 × 100000 =

532000

Answer:

1/81 I think now 100% sure though

The expected value of a dataset is the mean of the dataset.

The complete text is: Pamela can expect to see 1 red car and 1 green car on her way to office.

Expected value is calculated as:

[tex]\mathbf{E(x) =\sum x \times P(x)}[/tex]

For the red cars, we have:

[tex]\mathbf{Red = 0 \times 0.43 + 1 \times 0.31 + 2 \times 0.14 + 3 \times 0.10 + 4 \times 0.02}[/tex]

[tex]\mathbf{Red = 0.97}[/tex]

Approximate

[tex]\mathbf{Red = 1}[/tex]

For the green cars, we have:

[tex]\mathbf{Green= 0 \times 0.45 + 1 \times 0.17 + 2 \times 0.22 + 3 \times 0.07 + 4 \times 0.09}[/tex]

[tex]\mathbf{Green= 1.18}[/tex]

Approximate

[tex]\mathbf{Green= 1}[/tex]

Hence, the expected values of red and green is 1.

Read more about expected values at:

https://brainly.com/question/22097128

Answer:

t=5x=3049

Step-by-step explanation:

Answer:

The answer is cos=(-1/2, square root -3/2)

Step-by-step explanation:

Answer:

there is no question if you provide one in comments I will edit my answer to answer the question

Step-by-step explanation:

Answer:ok here u go

Step-by-step explanation  the reason its no solutions is because there is no x and that makes the problem no solution

Answer:

pretty sure it's 11

Step-by-step explanation:

Substitute x with -44

Answer:

11

Step-by-step explanation:

f(x) = f(-44) plug in -44 for x

10 -  -44/44

10 - (-1)

I do something called KFC, keep flip change

10 + 1 = 11  

The inequality that represents the situation is:

[tex]3q + 3 > 51[/tex]

The first assignment had at least 17 questions.

The total number of questions is:

[tex]T = q + q + 1 + q + 2 = 3q + 3[/tex]

Since the total is greater than 51, the inequality is:

[tex]3q + 3 > 51[/tex]

Solving the inequality, we have that:

[tex]3q > 48[/tex]

[tex]q > \frac{48}{3}[/tex]

[tex]q > 16[/tex]

Thus, it is found that the first assignment had at least 17 questions.

A similar problem is given at https://brainly.com/question/24514895

Answer:

The answer is 27.15

this is your equation to your answer step by step

4.40+ 3.25=

7.65

7.65+3.25=10.9

10.9+3.25=14.15

14.5+3.25=17.4

17.4+3.25=20.65

20.65+3.25=23.9

23.9+3.25=

Answer: Not all Functions have a inverse

Happy To Help :)

Step-by-step explanation:

Yes it is.

Use the Pythagorean Theorem:

a²+b²= c²

So, 17²+144²=145²

289+20736=21025

289+20736=21025

21025=21025

Answer:

a) 4x+4

b) 7x-14

c) 12x +18

d) 10x-10y

Answer:

4x+4

7x-14

12x+18

10x-10y

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

E to A is 3 and D to A is 2 so you add the two together and get 5 which is B.

Let me know if I'm wrong.

Answer:

D

Step-by-step explanation:

cause 8÷4 =2 and ×2 =4

5x1=5-1=4

3×3=9-5=4

3×2=6-1=5

The odd one is the different one cause every other one answer is 4 expecet d ....d answer is 5

Answer:

6=7y-8

6+8=7y-8+8(addition inverse operation)

14=7y

14/7=7y/7(division inverse operation)

2=y

Step-by-step explanation:

Answer:

y=2

Step-by-step explanation:

6=7y-8

(to get all the numbers on the right side and the letters on left side we can swap 6 with 7y)

-7y= -6-8

(since both were positive before we used the inverse method to turn both into a negative number)

-7y= -14

÷7 ÷7

(to get y on its own we divide both sides by 7)

y=2

Hope this helped you- have a good day bro cya)

Now, the R² value comes out as 0.996 and it is an exponential model and it is close to 1. Hence, option A is correct.

What is an exponential model?

Quantity rises over time through a process called exponential growth. It happens when the derivative, or instantaneous rate of change, of a quantity with respect to time is proportionate to the original quantity. A quantity that is growing exponentially is referred to as an exponential function of time, meaning that the exponent is the variable that represents time (in contrast to other types of growth, such as quadratic growth).

The amount declines over time and is said to be experiencing exponential decay if the constant of proportionality is negative. It is also known as geometric growth or geometric decay when the discrete domain of definition has equal intervals since the function values form a geometric progression.

Given that a fitness trainer is tracking the combined weight loss of several new customers.

She is recording for 6 months.

Now, we have to find the best mathematical model with the corresponding R² value

Given, the combined weight loss are - 175, 120, 95, 63, 44 and 30.

The formula for coefficient of determination R² = (x-x')(y-y')/√∑(x-x')²(y-y')²

≈ 0.996

Now, the R² value comes out as 0.996 and it is an exponential model and it is close to 1. Hence, option A is correct.

To know more about exponential model:

brainly.com/question/28596571

#SPJ1

Answer:

3x+2=16

Step-by-step explanation:

Answer:

the answer is most likely to be rather the first or second choice, but i choose B

Step-by-step explanation:

*Hope this helps*

based on what i understood, 3 green rectangles (or whaever that shape is), the 2 red squares, and the 16 small yellow squares. and the answer choices have

3x - 2 = 16

3x +2 = 16

3x + 4 = 20

3x = 24

and i dont think its 3x + 4 = 20 or 3x = 24 because there isn't any shapes to represent the 4, 20, and 24.

I might be wrong but i hope its right...