Which of the values below has two significant figures?A. 98.57B. 2200C. 4.01D. 5280

a) The quantity to be minimized is the cost of materials, given by the function C = 20x^2 + 80xh + 40h^2.

(b) The condition that x and h must satisfy is that the container has a volume of 20 cubic meters, which gives h = 20/x^2.

(c) Using the condition to replace h by x in C, we get C(x) = 20x^2 + 1600/x.

(d) The domain of C is (0, infinity).

(e) The critical number of C in the domain is x = 4sqrt(10).

(f) The dimensions of the container that require the lowest cost for materials are base length x = 4sqrt(10) meters and height h ≈ 0.79 meters.

The lowest cost of materials for making such a container is $113.14.

(a) The quantity to be minimized is the cost of materials, given by the function C = 20x^2 + 80xh + 40h^2.

The base costs $20 per square meter, so the cost of the base is 20x^2.

The sides and lid cost $10 per square meter, so the total area of the sides and lid is 4xh, and the cost of the sides and lid is 10(4xh) = 40xh.

The volume of the container is 20 cubic meters, so x^2h = 20 and h = 20/x^2.

Substituting this expression for h into the equation for C, we have C = 20x^2 + 80x(20/x^2) + 40(20/x^2)^2 = 20x^2 + 1600/x.

(b) The condition that x and h must satisfy is that the container has a volume of 20 cubic meters, which gives x^2h = 20 or h = 20/x^2.

(c) Using the condition to replace h by x in C, we get C(x) = 20x^2 + 1600/x.

(d) The domain of C is (0, infinity).

(e) To find the critical number of C, we take the derivative and set it equal to zero: C'(x) = 40x - 1600/x^2 = 0. Solving for x, we get x = 4sqrt(10) ≈ 12.65.

To classify this critical point using the second derivative test, we need to find the second derivative of C: C''(x) = 40 + 3200/x^3. At x = 4sqrt(10), we have C''(4sqrt(10)) = 40 + 3200/(4sqrt(10))^3 ≈ 28.98, which is positive. Therefore, x = 4sqrt(10) is a relative minimum of C.

(f) Finally, plugging x = 4sqrt(10) into the equation for h, we get h = 20/(4sqrt(10))^2 ≈ 0.79. Therefore, the dimensions of the container that require the lowest cost for materials are base length x = 4sqrt(10) meters and height h ≈ 0.79 meters.

The lowest cost of materials for making such a container is C(4sqrt(10)) ≈ $113.14.

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Answer:

\( \frac{3}{x} \times \frac{4}{7} = \frac{3}{14} \\ \frac{12}{7x} = \frac{3}{14} \\ 21x = 168 \\ x = \frac{168}{21} \\ x = 8\)

Answer:

The exponential function is

\(y = {2}^{x} \)

Answer:

is b or c I hope this help

Answer: 1152 sq m

Step-by-step explanation: 24x24=576+ 24x24=576 so 576+576

Step-by-step explanation:

Create a right triangle with the hypotenuse = 2400in (same as 200ft) and angle from horizontal =15 degrees

you can create the equation to find the opposite line (y-value)

2400sin(15) =

621 in

Answer:

I suggest you use Socratic, it solves questions like this.

Step-by-step explanation:

Larry wants to do everything possible to be in a position to detect that a treatment he has designed is effective given that it is actually effective. use an alpha (a) of .05 instead of .01 and decrease the population standard deviation. Option B and C are correct .

How to interpret a standard deviation?

With a standard deviation of 1, 68% of the population is within the average plus or minus the standard deviation. Consider a scenario where the standard deviation is three inches and the average male height is 5 feet 9 inches. As a result, 68% of all guys are between 5' 6" and 6', 5'9" plus or minus 3 inches.

What makes standard deviation so special?

Karl Pearson is credited with giving SD the name "standard deviation". I wouldn't imagine anything more than that he intended to suggest it as a benchmark. If anything, standardization-related references either stand alone or make references to SD itself.

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Answer:

-3pq -3p²q²

Step-by-step explanation:

Refer to attachment.

Hope it helps :)

Answer:

5 I think l to n is 10,so it will be half of it

Answer:

Step-by-step explanation:

Here are the "winning" rolls

1/6 * 5/6 = 5/36

5/6 * 1/6 = 5/36

1/6 * 1/6 = 1/36

There are three tosses out of 36 that are successful.

11/36 = 0.306

The answer is explained below.

In order to be considered a language, a system of communication must have vocabulary, grammar, syntax, and people who use and understand it. Mathematics meets this definition of a language. Linguists who don't consider math a language cite its use as a written rather than spoken form of communication.

Mathematics is pure language - the language of science. It is unique among languages in its ability to provide precise expression for every thought or concept that can be formulated in its terms. In a spoken language, there exist words, like "happiness", that defy definition.

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Answer:

30

Step-by-step explanation:

2(n+3y)

Plug in the numbers

2(3+3(4))

2(3+12)

2(15)

30

Step-by-step explanation:

Hope you can correct you question

Given the frequency and number of possible outcomes, the number of days that must pass before it becomes probable that Janice will have had to pick up lunch at least once is 8.

Note that the probability of any of the staff at the office picking the food is 1/8.

Even if She does not pick up lunch on her first day or second, the number of days that must pass to make sure that Janice picks up lunch AT LEAST once is 1 in 8 days.

The formula to compute the probability of an event is equivalent to the ratio of favorable outputs to the total number of outputs. It is to be noted that probabilities always range between 0 and 1.

The expression is given as:

P (E) = f/O; where

P(E) is the Probability of an event E happening;

f =  The number of possible outcomes for an event (frequency)

n = Total number of outputs that are likely

Hence,

P(E) = 1/8

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The probability that an antigen test comes back positive is approximately 0.05225, or about 5.225%.

We have,

To find the probability that an antigen test comes back positive, we need to consider both the true positive rate (probability of a positive test given that the person is infected) and the false positive rate.

Now,

Prevalence of coronavirus in California: 3 out of 1000

False positive rate of the antigen test: 0.05 (5 out of 100)

Let's calculate the probability of a positive test result.

The true positive rate can be calculated as 1 minus the false negative rate (probability of a negative test given that the person is infected):

True positive rate = 1 - 0.2 = 0.8 (or 80 out of 100)

The probability of a positive test result can be calculated using Bayes' theorem:

P(Positive test) = P(Positive test | Infected) x P(Infected) + P(Positive test | Not Infected) x P(Not Infected)

P(Positive test) = (0.8 x 3/1000) + (0.05 x 997/1000)

P(Positive test) = 0.0024 + 0.04985

P(Positive test) = 0.05225

Therefore,

The probability that an antigen test comes back positive is approximately 0.05225, or about 5.225%.

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\(\dfrac{1}{8}\cdot \dfrac{1}{8} = \dfrac{1}{8^2} = \left(\dfrac{1}{8}\right)^2 = \left(\dfrac{1}{8}\cdot 1\right)^2 = \left(\dfrac{1}{8}\cdot \dfrac{2}{2}\right)^2 = \left(\dfrac{2}{16}\right)^2\)

Answer:

A;A

B;C

C:D

D;B

Step-by-step explanation:

The nonlinear- function which represents b(9)=4 is given by b(x)=72/x - 4 .

In mathematics and physics, a nonlinear system is one in which the change in the output is not proportional to the change in the input. Engineers, biologists, physicists, mathematicians, and many other scientists are interested in nonlinear problems since the majority of systems are inherently nonlinear.

Nonlinear function graphs don't resemble lines at all. It contains the formula f(x) = ax + b. Its equation can take any form, with the exception of f(x) = ax + b. The slope of the curve is the same between any two points. The point pairs on the graph do not all have equal slopes.

Of all the given options: the only equations which imply that b(9)=4  are :

i) b(x)=72/x - 4 and  (iv) b(x)=4

Of this two options only the first option is non-linear.

Hence the required option is  b(x)=72/x - 4 .

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Disclaimer:

The missing options are:

i)   b(x) = 72/x - 4

ii) b(x) = √x + 7

iii)b(x)  = 2x+1

iv) b(x) = 4

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Answer:

23.10

Step-by-step explanation: Each large necklace is 4.10 There are only 1 largfe necklace he sold so we multiply 4.10 by 1 which is 4.10. A small necklace is 3.80 and he sold 5 of them so we multiply 5 by 3.80. 3.80 times 5 is 19. Then we add the large and small necklace product.

19+ 4.10=23.10

Answer:

23.1

Step-by-step explanation:

(4.10*1)+(3.80*5)

4.10*1=4.10

3.80*5=19

4.10+19=$23.1

Hello!

We will go tu use the pythagorean theorem!

So:

BA² = BC² + AC²

AC² = BA² - BC²

AC² = 52² - 20²

AC² = 2304

AC = √2304

AC = 48

Answer:  $130 money did Brenda and Hazel have all together before buying decorations and snacks.

Here, we have,

You want to know Brenda and Hazel's combined money when the ratio of their remaining balances is 1 : 4 after Brenda spent $58 and Hazel spent $37. They had the same amount to start with.

Setup

Let x represent the total amount the two women started with. Then x/2 is the amount each began with, and their fnal balance ratio is ...

 (x/2 -58) : (x/2 -37) = 1 : 4

Solution

Cross-multiplying gives ...

 4(x/2 -58) = (x/2 -37)

 2x -232 = x/2 -37 . . . . . . eliminate parentheses

 3/2x = 195 . . . . . . . . . . . . add 232-x/2

 x = (2/3)(195) = 130 . . . . . multiply by 2/3

Brenda and Hazel had $130 altogether before their purchases.

Alternate solution

The difference in their spending is $58 -37 = $21.

This is the same as the difference in their final balances.

That difference is 4-1 = 3 "ratio units", so each of those ratio units is $21/3 = $7.

Their ending total is 1+4 = 5 ratio units, or $35.

The total they started with is $58 +37 +35 = $130.

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complete question:

Brenda and Hazel decide to throw a surprise party for their friend, Aerica. Brenda and Hazel each go to the store with the same amount of money. Brenda spends $58 on decorations, and Hazel spends $37 on snacks. When they leave the store, the ratio of Brenda’s money to Hazel’s money is 1 : 4. How much money did Brenda and Hazel have all together before buying decorations and snacks?

Answer: B

Step-by-step explanation: Trust me bro

In using quarterly time series data, Quarter two  can serve as the base period for interpretation of dummy variables.

What do you mean by interpretation?

The process of interpreting anything involves elaborating, rephrasing, or otherwise demonstrating your own understanding of it.

                           Because they are explaining what someone is saying to someone who doesn't understand, a person who translates one language into another is known as an interpreter.

What are examples and variables?

A trait that is measurable and capable of taking on several values is known as a variable. A few examples of variables are height, age, income, province of birth, school grades, and kind of dwelling.

                                 The two primary categories of variables are categorical and numeric.

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Answer

-2 - (-7) = 5

Explanation

-2 - (-7)

(minus multiplied by minus gives plus)

-2 - (-7)

= -2 + 7

= 5

Hope this Helps!!!

it's good but if u r hard-working

Answer:

15 sandwiches

Answer:

60

Step-by-step explanation: