(brainliest is gonna begiven answer correctly please) Use the formula V = s³, where V is the volume and s is the edge length of the cube, to solve this problem.

A cube-shaped bin has an edge length of 12 yard.

What is the volume of the container?



Enter your answer, as a fraction in simplest form, in the box.

Step-by-step explanation:

You will have to use the limit defition of the derivative. Brainly does not have calculus symbols, which is very unfortunate, so I can only use my words. Take the limit as the change in 'x' approaches zero. You will have:

[tex] \frac{sin(x + {x}^{.} ) - sin(x)}{ {x}^{.} } [/tex]

If you let "x dot" equal zero as the limit requires, you will get 0/0 which is indeterminate. Break up the first term using the formula for the sine of a sum. You get:

[tex] \frac{sin(x)cos( {x}^{.} ) + sin( {x}^{.})cos(x) - sin(x) }{ {x}^{.} } [/tex]

Factor a sin(x) from the first and third term to get:

[tex] \frac{sin(x)(cos( {x}^{.}) - 1 ) + sin( {x}^{.})cos(x) }{ {x}^{.} } [/tex]

Use the linearity to break the limit into two parts:

[tex] \frac{sin(x)(cos( {x}^{.}) - 1 )}{ {x}^{.} } + \frac{sin( {x}^{.} )cos(x)}{ {x}^{.} } [/tex]

First term converges to zero, second term converges to cosine. Therefore proving the derivative of sine is cosine

Answer:

15

Step-by-step explanation:

Joyce reserved number 1 for herself

Of all  the possible combinations,

1 and  15 is a perfect match for a perfect square

So,Joyce dinner partner was number 15.

The height of the container that will be able to minimize the cost will be 3.08cm.

The volume of the box will be:

= (3x)(4x)h

= 12x²h

From the information given, we are told that the container must contain 48in³. Therefore,

48 = 12x²h

h = 4/x²

The function cost will be:

= 3.50(2)(12x²) + 4.40(14x)h

= 84x² + 61.6x(4/x²)

= 84x² + 246.4/x

We'll use the first derivative. This will be:

dC/dx = 168x - 246.4/x²

x = 1.14.

Therefore, the height will be:

h = 4/x² = 4/1.14² = 3.08cm

In conclusion, the height is 3.08cm.

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Answer:

Options D, E, F

Step-by-step explanation:

Given the following system of linear inequalities in two variables:

[tex]\displaystyle\sf\ System\:of\:Linear\:Inequalities = \begin{cases}\displaystyle\sf\ 2x < y} \\\displaystyle\sf\ y > 7}\end{cases}[/tex]

We can substitute the given ordered pairs to see whether they satisfy both linear inequalities.

[tex]\displaystyle\sf\ System\:of\:Linear\:Inequalities = \begin{cases}\displaystyle\sf\ 2x < y} \\\displaystyle\sf\ y > 7}\end{cases}[/tex]

2x < y

 ⇒  2(8) < 2

 ⇒  16 < 2  (False statement).  

y > 7

 ⇒  2 > 7 (False statement).  

 ⇒  (8, 2) is not a solution to the system.  

[tex]\displaystyle\sf\ System\:of\:Linear\:Inequalities = \begin{cases}\displaystyle\sf\ 2x < y} \\\displaystyle\sf\ y > 7}\end{cases}[/tex]

2x < y

 ⇒  2(0) < 2

 ⇒  0 < 2  (True statement).  

y > 7

 ⇒  0 > 7 (False statement).  

 ⇒  (0, 0) is not a solution to the system.  

[tex]\displaystyle\sf\ System\:of\:Linear\:Inequalities = \begin{cases}\displaystyle\sf\ 2x < y} \\\displaystyle\sf\ y > 7}\end{cases}[/tex]

2x < y

 ⇒  2(5) < 5

 ⇒  10 < 2  (False statement).  

y > 7

 ⇒  5 > 7 (False statement).  

 ⇒  (5, 5) is not a solution to the system.  

[tex]\displaystyle\sf\ System\:of\:Linear\:Inequalities = \begin{cases}\displaystyle\sf\ 2x < y} \\\displaystyle\sf\ y > 7}\end{cases}[/tex]

2x < y

 ⇒  2(1) < 9

 ⇒  2 < 9  (True statement).  

y > 7

 ⇒  9 > 7 (True statement).  

 ⇒  (1, 9) is a solution to the system.  

[tex]\displaystyle\sf\ System\:of\:Linear\:Inequalities = \begin{cases}\displaystyle\sf\ 2x < y} \\\displaystyle\sf\ y > 7}\end{cases}[/tex]

2x < y

 ⇒  2(17) < 50

 ⇒  34 < 50  (True statement).  

y > 7

 ⇒  50 > 7 (True statement).  

 ⇒  (17, 50) is also a solution to the system.  

[tex]\displaystyle\sf\ System\:of\:Linear\:Inequalities = \begin{cases}\displaystyle\sf\ 2x < y} \\\displaystyle\sf\ y > 7}\end{cases}[/tex]

2x < y

 ⇒  2(-1) < 10

 ⇒ -2 < 10  (True statement).  

y > 7

 ⇒  10 > 7 (True statement).  

 ⇒  (-1, 10) is also a solution to the system.  

Therefore, Options D, E, and F are the solutions to the given system of linear inequalities.  

Linear Inequalities in two variables

System of linear inequalities  

________________________________

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Answer:

The answer is 12/5.

Step-by-step explanation:

5 + 2/5=

10/5 + 2/5=

12/5

The distance between the boat and the ocean's floor is 19m

We can see this as a right triangle, where the rope with the anchor is the hypotenuse. So we already know that the hypotenuse measures 30m.

We also know an angle, it measures 39°, and we want to get the opposite cathetus to said angle (the height).

Then we use the relation:

Sin(a) = (opposite cathetus)/(hypotenuse).

Replacing the values that we know, we get:

Sin(39°) = d/30m

sin(39°)*30m = d = 18.9m ≈ 19m

The distance between the boat and the ocean's floor is 19m.

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The surface area of a right rectangular prism is the amount of space on it.

Muna's claim is incorrect

The surface area of a right rectangular prism is calculated as:

A = 2 * (lw + lh + wh)

So, we have:

A = 2 * (8 * 16 + 8 * 12 + 16 * 12)

The above expression implies that Muna's claim is incorrect

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Answer:

[tex] \rule{40pt}{99999pt}[/tex][tex] \rule{40pt}{99999pt}[/tex]

Answer:

D , F and G

Step-by-step explanation:

D, F and G are true in this case

Answer:

Burger: 9.00

18%tip: 2.16

total with tip: 14.16

Salad: 8.00

Tatal: 11.00

Total with tip: 12.00

Water: 1.19

total: 9.19

18% tip: 2.02

Step-by-step explanation:

I am unsure of the salad pretty sure it's 8 dollars but I am unsure

I've attached my written workings :)

Answer:

OPTION A

Step-by-step explanation:

we start by multiplying both roots.

we then get negative 3 times the third root of: 40 × x^9 × y^3

we then simplify to get:

-24 × x^3 × y × third root of 5

[tex]\\ \rm\Rrightarrow -\sqrt[3]{2x^4y^2}\times 3\sqrt[3]{20x^5y}[/tex]

[tex]\\ \rm\Rrightarrow -3\sqrt{40x^9y^3}[/tex]

[tex]\\ \rm\Rrightarrow -3(6x^3y\sqrt[3]{5}[/tex]

[tex]\\ \rm\Rrightarrow -24x^3y\sqrt[3]{5}[/tex]

Answer:

3. 7kg

4. 100kg

5. 13kg more

6. $64

7. 200kg

Answer: 49.2 or 49[tex]\frac{1}{5}[/tex]

Step-by-step explanation:

The formula for surface area of a rectangular prism is [tex]2(wl+hl+hw)[/tex]

Where

w is width (5 for this)

l is length ([tex]1\frac{1}{5}[/tex] for this)

h is height (3 for this)

Now lets sub in the values and solve

[tex]2(wl+hl+hw)\\2[(5)(1\frac{1}{5}) +(3)(1\frac{1}{5})+(3)(5)]\\2[6+3.6+15]\\2[9.6+15]\\2[24.6]\\49.2[/tex]

answer: 49.2

step-by-step :

the width is 5

the length is 1  1/5

the height is 3

Answer:

Step-by-step explanation:

Given

We are asked to find F(-1).

This can be done by substituting -1 in place of x in the function.

Answer: B

Step-by-step explanation: Churchill reminds the world that there is still a war, and still many people suffering. But he hopes that they can set aside their evil ways, and celebrate Christmas.

A problem that can be solved using the frequency table is "what is the total amount earned for the 14 days of the sale?".

A frequency table is used to display the frequencies of different outcomes in a sample.

Looking at the frequency table, total amount earned can be determinined by adding the multiplication in the third column together.

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Answer:

0.44 is the correct answer

Answer:

.44

Step-by-step explanation:

11/25

Multiply the top and bottom by 4

11*4

-------

25*4

44

-----

100

The decimal is .44

Answer:

C) 14

Step-by-step explanation:

3x-6=36

3x=36+6

3x=42

x=42/3

x=14

Answer:

40 square centimeters

Step-by-step explanation:

so if the density is 9 grams per square centimeter (for every 9 grams, there is 1 square centimeter):

360/9=40

40 cm squared

Answer:

(8*d)-14 8/9

Step-by-step explanation:

14 8/9 less than means: -14 8/9

product of 8 and a number d means: 8*d

It says 14 8/9 less than the product meaning the multiplying must be done first: (8*d)-14 8/9

This all comes down to order of the equation, and logic to understand meanings of phrases.

Answer:

-19

Step-by-step explanation:

The sequence is going down by 4

Answer:

59

Step-by-step explanation:

I answered got it wrong and found the answer

The height 59 inches in most likely closest to the average height of the population.

The correct answer is an option (C)

"It is the ratio of the sum of all given observations to the total number of observations. "

For given question,

We have been given the average heights of four samples taken from a population of students.

The mean(average) of the average height of the population would be,

[tex]\bar{X}=\frac{63+54+57+59}{4}\\\\ \bar{X}=58.25\\\\\bar{X}\approx 59[/tex]

Therefore, the height 59 inches in most likely closest to the average height of the population.

The correct answer is an option (C)

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Answer:

$310.04

Step-by-step explanation:

you do 389.99 time .75 then you do the number you get from there times 1.06 to get your answer.

The pounds of food that Sand Hill Crane Elementary  needs to collect more in order to reach their goal is 1202 pounds.

The first step is to convert tons to pounds.

1 ton = 2000 pounds

2 tons x 2000 = 4000 pounds.

The second step is to subtract the pounds of food collected so far from the goal.

4000 - 2798 = 1202 pounds.

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The amounts of Federal and State taxes that the couple will owe will be $25100 and $7500 respectively.

A tax simply means a compulsory levy that's paid to the government by individuals and businesses.

In this case, the standard deduction for married couples that are filing jointly is $25100. Also, the state tax will be:

= 5% × $150000

= 0.05 × $150000

= $7500

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Answer:

C. 4

Step-by-step explanation:

the slope is always the factor of x.

Answer:

21

Step-by-step explanation:

think about it this way. if the first group takes 17 hours, and the second group takes 4 hours more than the first group, then how long does the second group take?

It yields a straight line almost

Slope:-

But it's not accurate and somehow wrong as it's exponential and our slope must be in log form

But thing we get that slope is positive so association is positive

Answer:

b)  Since the y-values increase as the x-values increase, the scatter plot shows a positive association.

Step-by-step explanation:

In a scatter plot:

Correlation measures how closely two variables are linked.

The given scatter plot shows the y-variable increasing as the x-variable increases.  Therefore, this shows a positive correlation.

Therefore, the solution is:

b)  Since the y-values increase as the x-values increase, the scatter plot shows a positive association.