Round 45.8 to the nearest whole number

Answer:

4c + 5 = R

Step-by-step explanation:

This should help you

Answer: 67.1375

Step-by-step explanation:

I just used a calculator:)

x = 58.62 feet

y = 85.3 feet

Given that,

The cost of exterior walls is $140 per linear foot.

The cost of interior walls is $100 per linear foot.

  xy = 5000

⇒ y = 5000/x

For the exterior walls, we have 2(x + y)(110)

For the interior wall, we have 100x

The cost function = C

⇒ C = 2(x + y)(110) + 100x

⇒ C = 220(x + y) + 100x

      = 220x + 240y + 100x

      = 320x + 240y

Recall that y = 5000/x

C = 320x + 220(5000/x)

C = 320x + 1100000/x

Differentiate C with respect to x

C'(x) = 320 - 1100000/x²

       = (320x² -1100000) / x²

To minimize cost

C'(x) = 0

(320x² -1100000) / x² = 0

320x² -1100000 = 0

⇒ 320x² = 1100000

⇒ x² = 1100000/320

⇒ x = √1100000/320

⇒ x = 58.62 feet

Recall that y = 5000/x

y = 5000/58.62

y = 85.3 feet

Learn more about minimize:

https://brainly.com/question/13014022

#SPJ4

Answer: A

Step-by-step explanation:

If you plug in the numbers from the x column into the equation in the place of x, you can figure out the answer.

Example:    -10x - 15

                   -10(1) - 15 = -25

                   -10(2) - 15 = -35 and so on...

You're Welcome! :)

Step-by-step explanation:

it still remains 125 it doesn't change

Answer:

Step-by-step explanation:

Trace a linha de 8cm, daí você vai dividir ela no meio, ou seja, no 4. Aí é só contar 2 cm para cada lado, que vai ser o 1, as pontas vão ser o 2. Tendeu? Daí é só marcar os pontos no -3/7(~-2,3), 1,6, 7/5(1,4), -1 e 0

Answer:

5.048

5.48

5.4871

5.7

Step-by-step explanation:

5.48 is 0.0071 less than 5.4871

David can best improve his investigation by including a control group. A control group is a group that does not receive any treatment or intervention and is used as a benchmark to compare the results of the experimental group. In this case, the control group would be a third young elm tree that is planted near the other two but does not receive any water or fertilizer. David can measure the height and trunk girth of the control tree every week for a year as well.

In scientific research, it is important to include a control group to ensure that the results of the experimental group are due to the treatment or intervention and not due to other factors. In this case, David is investigating the factors that affect plant growth, and he is manipulating the amount of water and fertilizer that the two elm trees receive. However, there could be other factors that affect plant growth, such as soil quality, sunlight exposure, temperature, and pests. If David only measures the height and trunk girth of the two elm trees that receive water and fertilizer, he cannot be sure if any changes in their growth are due to the treatment or due to other factors.

To improve his investigation, David can plant a third young elm tree near the other two and not give it any water or fertilizer. This third tree will serve as the control group, and David can measure its height and trunk girth every week for a year as well. By comparing the growth of the experimental group (the two elm trees that receive water and fertilizer) to the growth of the control group (the third elm tree that receives nothing), David can be more confident that any changes in the growth of the experimental group are due to the treatment and not due to other factors.

David can best improve his investigation by including a control group, which will serve as a benchmark to compare the results of the experimental group. The control group should be a third young elm tree that is planted near the other two but does not receive any water or fertilizer. David can measure the height and trunk girth of the control tree every week for a year as well. By comparing the growth of the experimental group (the two elm trees that receive water and fertilizer) to the growth of the control group (the third elm tree that receives nothing), David can be more confident that any changes in the growth of the experimental group are due to the treatment and not due to other factors.

To know more about control group visit:

brainly.com/question/14359748

#SPJ11

The solutions to the equation are x = -1, x = -8, and x = 1/2.

The equation 4x³ + 32x² + 42x - 16 = 0 can be divided throuh by 2 as follows:

2x³ + 16x² + 21x - 8 = 0

We can test each of these possible roots by substituting them into the equation and seeing if we get 0. When we substitute -1, we get 0, so -1 is a root of the equation. We can then factor out (x + 1) from the equation to get:

(x + 1)(2x² + 15x - 8) = 0

We can then factor the quadratic 2x² + 15x - 8 by grouping to get:

(x + 8)(2x - 1) = 0

This gives us two more roots, x = -8 and x = 1/2.

Therefore, the solutions to the equation are x = -1, x = -8, and x = 1/2.

Learn more about equations on

https://brainly.com/question/2972832

#SPJ1

Based on the given options, the errors Amy made in simplifying the complex fraction problem include not using the reciprocal of the divisor and not simplifying the resulting fraction.

To analyze the errors made by Amy in simplifying the complex fraction problem, let's go through each option:

1. She converted the mixed number to the wrong improper fraction: This error is related to the specific problem at hand and cannot be determined without the actual problem statement. Please provide the specific complex fraction problem so that I can assess this error.

2. She did not use the reciprocal of the divisor: This error suggests that Amy did not take the reciprocal of the divisor (denominator) when dividing by a fraction. This error would be applicable if the problem involved dividing by a fraction. However, without the specific problem, it is difficult to confirm this error.

3. She added the numerators: This error indicates that Amy added the numerators of the complex fraction instead of performing the appropriate operations on them. This error can occur if the problem required multiplication, subtraction, or other operations instead of addition.

4. She added the denominators: This error implies that Amy added the denominators of the complex fraction instead of performing the necessary operations. This error can occur if the problem involved addition or if the denominators needed to be combined differently.

5. She did not simplify: This error suggests that Amy did not simplify the resulting fraction to its simplest form after performing the operations. This error can occur if the fraction can be further reduced or simplified.

Learn more about complex fraction problem:

brainly.com/question/100396

#SPJ11

The solutions to the quadratic equation \(2x^2 + 6x - 1 = 0\), obtained by completing the square, are x = -3 + √10 and x = -3 - √10.

To solve the quadratic equation\(2x^2 + 6x - 1 = 0\)by completing the square, follow these steps:

Ensure that the coefficient of \(x^2\) is 1. In this case, it is already 2, so we don't need to make any changes.

Move the constant term to the other side of the equation. Add 1 to both sides:

\(2x^2 + 6x = 1\)

Divide the coefficient of x by 2 and square it. In this case, (6/2)^2 = 9.

Add the result from step 3 to both sides of the equation:

\(2x^2 + 6x + 9 = 1 + 9\)

Simplifying, we get:

\(2x^2 + 6x + 9 = 10\)

Write the left side of the equation as a perfect square trinomial. In this case, it is \((x + 3)^2.\)

\((x + 3)^2 = 10\)

Take the square root of both sides:

\(√[(x + 3)^2] = ±√10\)

Simplifying:

\(x + 3 = ±√10\)

Solve for x by subtracting 3 from both sides:

x = -3 ± √10

So, the solutions to the quadratic equation \(2x^2 + 6x - 1\)= 0, obtained by completing the square, are x = -3 + √10 and x = -3 - √10.

Learn more about quadratic equation here:

https://brainly.com/question/30098550

#SPJ11

Answer:

∠C

Step-by-step explanation:

The angle in blue has C as its vertex.

Vertex is a point where 2 rays intersect to form an angle.

________

Hope it helps ⚜

Answer:

B

Step-by-step explanation:

Answer:

B only one angle is a right angle and the other two are acute

Step-by-step explanation:

its clear from looking at an angle lol

Answer:

a. 1.26

b. 0.1038

Step-by-step explanation:

The p-value is 1.0000 (rounded to four decimal places). This means that we fail to reject the null hypothesis, which in this case would be that the population mean is equal to the sample mean of 26.2.

To find the test statistic, we need to use the formula:

test statistic = (sample mean - population mean) / (standard deviation / square root of sample size)

Since the population standard deviation is given as 6, we can plug in the values:

test statistic = (26.2 - population mean) / (6 / √40)

To find the population mean, we can use the fact that the sample mean is an unbiased estimator of the population mean, so:

population mean = sample mean = 26.2

Plugging in the values, we get:

test statistic = (26.2 - 26.2) / (6 / √40) = 0

The test statistic is 0.

To find the p-value, we need to use a t-distribution table or calculator. Since we have a sample size of 40, we can use the t-distribution with 39 degrees of freedom.

Using a calculator or table, we can find that the area to the right of 0 (since the test statistic is 0) is 0.5. Since this is a two-tailed test, we need to double this value to get the p-value:

p-value = 2 * 0.5 = 1.0000
Learn more about test statistic here: brainly.com/question/14128303

#SPJ11

Reason:

The equation is t = 1.5p

The input p leads to the output t.

The domain only cares about the input. It's the set of allowed inputs. Since p refers to a number of something, we can only work with whole numbers {0,1,2,3,4,...} which is why Bonnie is correct.

Unfortunately Buffy is incorrect because something like p = 2.7 isn't allowed in the domain. It's a real number, but not a whole number. It doesn't make sense to have a fractional or decimal amount of pens.

Answer:

x= 5/9 or 0.5556

Step-by-step explanation:

|2x-5| = -3x+4

|5x-5|=4

|5x|=9

|x|=5/9 or 0.5556

x= 5/9 or 0.5556

Answer:

Solution given:

2y+1=17

subtracting both side by 1

2y+1-1=17-1

2y=16

dividing both side by 2

2y/2=16/2

y=8

Answer:

all you have to do is mach the variables with the words im not good on a computer but on the paper and pencil im a god so please hit me up

Step-by-step explanation:

Answer:

B) Solve the equation for x: 5X-10+X 8290. 6x-18=90. +18 +18. 60x = 108 ... angle measure of each: Angle A. 524. 3x-35. 3(24)-35. 72-35. 37 m ZA = NM M.:

Answer:

1 x + 3y=-27

should be correct

y = -1/3x + 9

answer: x + 3y = 27

Answer

Your saviour has come!

The answer is A

Step-by-step explanation:

Based on the orthocenter of a triangle, the value of x in the figure is: x = 4.

The orthocenter of a triangle is the point where perpendicular lines from the sides of a triangle intersect each other. These lines are therefore congruent to each other.

Lines RS and RT are perpendicular lines that are drawn from the sides of the given triangle in the figure attached below, which intersect at the orthocenter T, therefore:

RS = RT

RS = 3(x - 4) + 9

RT = 3(3x - 9)

Substitute

3(x - 4) + 9 = 3(3x - 9)

3x - 12 + 9 = 9x - 27

3x - 3 = 9x - 27

3x - 9x = 3 - 27

-6x = -24

Divide both sides by -6

x = 4

Learn more about the orthocenter of triangle on:

https://brainly.com/question/20378111

#SPJ1

Answer:

see the attachment photo!

Answer:

the answer is 7! hope this helps

Step-by-step explanation:

slope is

9-(-1)/-2-3

10/(-5)

=-2

slope is -2

\(\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}\)

     What is the slope of the line containing (-2, 9) and (3, -1)?

\(\dashrightarrow\large\textsf{\textbf{\underline{Answer and how to solve:-}}}\)

We can find the slope using the following formula:-

\(\boxed{\frac{y_2-y_1}{x_2-x_1}}\)

\(\bigstar\) substitute the numbers in lieu of the letters:-

\(\boxed{\frac{-1-9}{3-(-2)}}\)

\(\dagger\) On simplification,

\(\boxed{\frac{-10}{3+2}}\)

\(\dagger\) On further simplification,

\(\boxed{\frac{-10}{5}}\)

\(\dagger\) Which simplifies to

\(\boxed{Slope=-2}\)

\(\rule{300}{1}\)

Part a: The probability of selecting a dictionary is 1/3

Part b: The probability of selecting 2 novels and 1 poem book is 5/14

Number of novels = 5

Number of poem books = 3

Number of dictionary = 1

Total number of books = 9

Part a:

Number of ways to select 3 books from 9 books = C(9,3) = 84

Probability of selecting the dictionary = C(1,1) = 1

The other two books can be selected amongst any of the remaining 8 books, the probability = C(8,2) = 28

So, probability = 28*1/84 = 1/3

Part b:

Probability of selecting two novels = C(5,2) = 10

Probability of selecting 1 poem book = C(3,1) = 3

Probability = 10*3/84 = 5/14

Learn more about probability:

https://brainly.com/question/11234923

#SPJ4

Answer:

1st side= 4m

2nd side= 8m

3rd side= 12m

Step-by-step explanation:

Let the first, second and third side of the triangle be a, b and c meters respectively.

a= b -4 -----(1)

c= 3a -----(2)

Perimeter of triangle

= a +b +c

= 24

a +b +c= 24 -----(3)

From (1): b= a +4 -----(4)

Subst. (2) and (4) into (3):

a +(a +4) +3a= 24

3a +a +a +4= 24

5a +4= 24

5a= 24 -4

5a= 20

Divide both sides by 5:

a= 20 ÷5

a= 4

Substitute a= 4 into (4):

b= 4 +4

b= 8

Substitute a= 4 into (2):

c= 3(4)

c= 12

Thus, the lengths of the first, second, and third side of the triangle are 4m, 8m and 12m respectively.

Answer:

the range is -5>-9    

the domain is 44

Step-by-step explanation: