a rectangular storage container without a lid is to is to have a volume of 10 cubic meters. the length of its base is thrice the width. material for the base costs $20 per square meter. material for the sides cost $10 per square meter. find the cost of material for the least expensive box

The derivative of f(x) is f'(x) = 12(7x^5 + 2)^2 * 35x^4 * ((7x^5 + 2)^3 + 6)^3.

To find the derivative of the function f(x) = ((7x^5 + 2)^3 + 6)^4 + 3, we can use the chain rule.

Let's start by applying the chain rule to the outermost function, which is raising to the power of 4:

f'(x) = 4((7x^5 + 2)^3 + 6)^3 * (d/dx)((7x^5 + 2)^3 + 6)

Next, we apply the chain rule to the inner function, which is raising to the power of 3:

f'(x) = 4((7x^5 + 2)^3 + 6)^3 * 3(7x^5 + 2)^2 * (d/dx)(7x^5 + 2)

Finally, we take the derivative of the remaining term (7x^5 + 2):

f'(x) = 4((7x^5 + 2)^3 + 6)^3 * 3(7x^5 + 2)^2 * (35x^4)

Simplifying further, we have:

f'(x) = 12(7x^5 + 2)^2 * (35x^4) * ((7x^5 + 2)^3 + 6)^3

Therefore, the derivative of f(x) is f'(x) = 12(7x^5 + 2)^2 * 35x^4 * ((7x^5 + 2)^3 + 6)^3.

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Answer: 1320 ways.

Step-by-step explanation:

For this problem you should use the formula for variations in combinatorics. You use this when choosing a few objects from a group in which the order of the objects is of importance:

\(P^{12} _{3}=\frac{12!}{(12-3)!}=\frac{12 \cdot 11\cdot 10\cdot ...\cdot 1}{9 \cdot 8 \cdot ... \cdot 1} = 12 \cdot 11 \cdot 10 = 1320\)

where ! stands for factorial.

The correct option is option (B) .

In a Multiple regression Model , the value of adjusted r-Squared is positive.

Adjusted r-Squared :

Adjusted r-squared is a modified version of r-squared adjusted for the number of predictors in the model. The fitted r-squared increases only if the new term improves the model beyond what would be expected by chance. This is reduced if the predictor happens to not improve the model more than expected.

The formula for r-squared,

Adjusted r-squared= 1 - [ ( 1 -r²)(n-1)/(n-k-1)]

where

N --> number of points in the data sample.

K --> number of independent regressors, i. number of variables in the model excluding or constant.

r²--> Indicates how well a term (data point) fits a curve or line.

r-squared values range from 0 to 1 and are commonly stated as percentages from 0% to 100%.

100% r-squared means that all movements in the security are completely explained by movements in the index.

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Answer:

it will be 44 degree because all angles in rhombus are equal

Answer:

I need the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

The sample is the part of the population that somebody wants to study. therefore, the sample is the 100 male students interviewed

Answer:

What percent of 9 is 18 = 200% and for the second part it is B.

Step-by-step explanation:

I just know that is the answer.

Step-by-step explanation:

so, let me retype this.

horizontal asymptote : y = 2

that means lim x going to ±infinity f(x) = 2.

vertical asymptotes :

x = 3

x = -4

that means the function must have these 2 points, where the expression leads to a division by 0 or something similar that would make the result undefined.

we got 4 functions :

A) y = x²/(x² + x - 12)

B) y = x²/(x² - x - 12)

C) y = 2x²/(x² + x - 12)

D) y = 2x²/(x² - x - 12)

so, for which ones we have y = 2 as limit when x goes against + or - infinity ?

that would be C and D.

A and B lead to x²/x² = 1 as limit for gigantic numbers.

C and D lead to 2x²/x² = 2 as limit.

remember, when x gets really, really big, the "±x - 12" part becomes irrelevant.

so, we look at C and D.

which one lead to a division by 0 at x = 3 and x = -4 ?

that would be C.

for x = 3

x² + x - 12 = 3² + 3 - 12 = 9 + 3 - 12 = 12 - 12 = 0

for x = -4

x² + x - 12 = (-4)² - 4 - 12 = 16 - 4 - 12 = 12 - 12 = 0

D with x² - x - 12 would have x = -3 and x = 4 as zeroes.

these are different asymptotes than requested.

so, C is the right answer.

The unknown angles in the parallel lines are as follows;

x = 28

y = 23

When parallel lines are cut by a transversal line, angle relationships are formed such as linear angles, vertically opposite angles, interior angles, corresponding angles, alternate interior angles, alternate exterior angles etc.

using vertical angles and same side interior angles,

5y - 4 + 3y = 180 (same side interior angles are supplementary)

8y - 4 = 180

8y = 180 + 4

8y = 184

divide both sides by 8

y = 184 / 8

y = 23

Hence,

3y  = 2x + 13(corresponding angles)

corresponding angles are congruent.

Hence,

3(23) = 2x + 13

69 - 13 = 2x

2x = 56

x = 56 / 2

x = 28

Therefore,

x = 28

y = 23

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Answer:

Im letting yall know rn that the answer actually 19 other guys wildn with 14

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

An odd number is a number ending in 1, 3, 5, 7 or 9

In this list the odd numbers are: 25 and 55

There are 6 numbers in this list and 2 of these numbers are odd so the probability is 2/6 which can be simplified to 1/3

Answer:

$283.2

Step-by-step explanation:

Area of the order = Length * Width

7.02×10^3 = 1.17×10^2 * Width

7020 = 117W

W = 7020/117

W = 60feet

Perimeter of the border = 2(L+W

P = 2(117+60)

P = 2 * 177

P = 354 feet

If a border cost $0.80 per foot, 354 feet long border will cost 0.80 * 354 = $283.2

Answer:

It's actually $283.20. I found out by putting the answer the other person put so I got it wrong the correct answer is $283.20 I hope this helps :)

Step-by-step explanation:

Yes, these data support the scientist's belief that large islands are more effective at protecting at-risk species than small islands. To provide statistical justification, we can compare the probability of extinction for each island size: For large islands, the probability of extinction is 19/208, or approximately 0.091. For small islands, the probability of extinction is 66/299, or approximately 0.221.

The data provided can support the scientist's belief that large islands are more effective than small islands for protecting at-risk species. We can use the concept of probability to calculate the likelihood of extinction for both large and small islands.

For the large island, the probability of extinction for any given species is 19/208 or approximately 0.091. For the small island, the probability of extinction for any given species is 66/299 or approximately 0.221.

Comparing these probabilities, we see that the probability of extinction is higher for at-risk species on small islands than on large islands. This supports the scientist's belief that large islands are more effective for protecting at-risk species.

Additionally, we can use statistical tests such as a chi-square test or a two-sample t-test to confirm whether the difference in extinction rates between large and small islands is statistically significant.

These tests would require more information such as sample size and variance, but based on the provided data alone, the probability calculations suggest that the scientist's belief is supported.

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Answer:

Step-by-step explanation:

To find the explicit formula for the sequence 31, 27, 23, ..., we first need to find the common difference between consecutive terms.

We can see that each term is obtained by subtracting 4 from the previous term. Therefore, the common difference is -4.

Using the general formula for an arithmetic sequence:

an = a1 + (n - 1)d

where a1 is the first term, d is the common difference, and n is the index of the term we want to find.

In this sequence, a1 = 31 and d = -4. So, we have:

an = 31 + (n - 1)(-4)

Simplifying, we get:

an = 35 - 4n

Therefore, the explicit formula for the n-th term of the sequence 31, 27, 23, ... is an = 35 - 4n.

Considering that y is between x and z, we have that:

We consider that y is between x and z, hence the length of the segment is given by:

xz = xy + yz

The separate lengths are given as follows:

Hence:

4k + 38 = 3k - 2 + 7k + 4.

4k + 38 = 10k + 2

6k = 36

k = 6.

Hence the length of yz is given by:

yz = 7k + 4 = 7(6) + 4 = 42 + 4 = 46 units.

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An inequality represents two unequal variables, two or more inequalities are system of inequalities, a restricting condition is a constraint and divider of the coordinate plane is called boundary.

When two or more mathematical expressions are compared to one another or weighed against one another and it is discovered that they are not equal, an inequality usually results.

An inequality is a claim that links two variables using the inequality symbol.

Constraints are limitations or restrictions on a problem's solution or solutions.

Systems of Linear Inequalities are two or more linear inequalities involving the same variables.

The boundary is a line that divides the coordinate plane into three sets of points.

The open half-plane is one of the two areas where a boundary line divides the coordinate plane.

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11 1/4

Step-by-step explanation:

the yards have to be converted to feet

1 yards = 3 feet

5 yards x 3 = 15 feet

Area of a rectangle = length x width

15 x 2 1/4

15 x 9/4 = 33 3/4

33 3/4 x 1/3 = 135 /12 = 11 1/4

There were 50 more in August compared to October.

Answer:

50

Step-by-step explanation:

400-350=50

there are 50 soft drink bottles

Answer:

8

Step-by-step explanation:

1/10 bottle of paint covers 2/5 of box

2 bottles of paint will cover x of box

Using cross multiplication :

1/10 = 2 / 5

2 = x

(1 / 10)x = 2/5 * 2

x / 10 = 4 / 5

Cross multiply :

5x = 40

Divide both sides by 5

x = 40/5

x = 8

Hence, 2 bottles of paint will be used to paint 8 boxes

Step-by-step explanation:

by deleted user on here.

Answer:

y = -4/7x - 46/7

Step-by-step explanation:

4x+7y=11

7y=11-4x

y=-4/7x + 11/7

Slope or parallel line: -4/7

Point=(-1,-6)

y+6 = -4/7(x+1)

y = -4/7x - 46/7

:]

Answer:-2.3,11.,11.,-0.25 or  x2 - 10x - 25- -5

Step-by-step explanation:

u just go in a TI-nspire CX calculator and type in in how it looks

Answer:

  x = 3

Step-by-step explanation:

You want the equation of the line through points (3, -3) and (3, -6).

The two points have the same x-value, indicating the line through them is a vertical line. That will have an equation of the form x = c.

The x-value of the given points is 3, so the equation is ...

  x = 3

__

Additional comment

We note that the answer box is pre-filled with "y =". There is no "y =" equation that will go through these points. The slope is undefined, so the slope-intercept form of the equation cannot be used.

James has $37.67 now after all his expenses

James had $x, his brother had $y, and his sister had $z when the morning began.

By using algebra,

James's sibling had twice as much money as James.

Now, x =y/2..... (i)

James had $27 fewer dollars than his sister did.

So, x = z - 27 ........ (ii)

⇒  {From equation (1)}

⇒ y/2 = z -27

⇒ y = 2z - 54

⇒ 2z - y =54 ..........(3)

Now, James and his sister each received $12 from his brother.

James now has $(x + 12), his brother now has $(y -24), and his sister now has $(z + 12).

Given that James' sister has twice as much money as James' brother after payoff,

So, z+12/2 = y-24

⇒ z + 12 = 2y - 48

⇒ 2y - z = 50 ......... (4)

The result of resolving equations (3) and (4) is

3y = 54 + 100 = 154

⇒ y =  51.33.

The result of equation (3) is now z = 52.67.

And from equation (1), x = 51.3/2= 25.67

So, now, James has (25.67 + 12) = $37.67

Hence, James has $37.67 now after all his expenses

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Answer: 24 years old

Formulas for Laplace Transform of 1st and 2nd Derivative is L{f'(t)} = -f(0)e^(-st) + sL{f(t)} and L{f"(t)} = -sf(0)e^(-st) + s2L{f(t)}

a. L{ f'(t)}

1: Apply the definition of Laplace transform to the first derivative of a function:

L{ f'(t)} = {∫f'(t)e^(-st)dt}

2: Apply the Integration by Parts Rule on the equation above

L{ f'(t)} = -(f(t)e^(-st))|_0^∞ + s ∫f(t)e^(-st)dt

3: Apply the definition of Laplace Transform to f(t)

L{f'(t)} = -f(0)e^(-st) + sL{f(t)}

b. L{f"(t)}

1: Apply the definition of Laplace transform to the second derivative of a function:

L{f"(t)} = {∫f"(t)e^(-st)dt}

2: Apply Integration by Parts rule on the equation above

L{f"(t)} = (f'(t)e^(-st))|_0^∞ + s ∫f'(t)e^(-st)dt

3: Apply the definition of Laplace Transform to f'(t)  

L{f"(t)} = f'(0)e^(-st) + sL{f'(t)}

4: Apply the definition of Laplace Transform to f(t)

L{f"(t)} = f'(0)e^(-st) + s(-f(0)e^(-st) + sL{f(t)})

L{f"(t)} = -sf(0)e^(-st) + s2L{f(t)}

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Answer:

AC = √105 ≈ 10 cm (nearest whole number)

Step-by-step explanation:

Use Pythagoras' Theorem: a² + b² = c²

(where a and b are the legs, and c is the hypotenuse of a right triangle)

Give one of the legs = 4cm and the hypotenuse = 11 cm:

⇒ 4² + AC² = 11²

⇒ 16 + AC² = 121

⇒ AC² = 121 - 16

⇒ AC² = 105

⇒ AC = ±√105

As distance is positive, length of AC = √105 ≈ 10 cm (nearest whole number)

Step-by-step explanation:

AB²=BC²+CA²

(11)²=(4)²+ CA²

121=16 + CA²

121-16= CA²

105=CA²

√105=CA

10.2=CA

hope this helps you

have a good day

Answer:

x = -8

Step-by-step explanation:

x + 6y = 16

→ Substitute in y = 4

x + 24 = 16

→ Minus 24 from both sides

x = -8