Find the volume of a box that has a length of 7 cm, a width of 9 cm, and a height of
11.2 cm.

The correct answer for the intercept c'(100) is 0.04.

According to the question, the given expression for the cost function in terms of intercept is as written below:

\(c(q)=84+0.16q-0.0006q^{2} +0.00000q^{3}\)

Differentiate the given expression and it can be re-written as:

\(c'(q)=0+0.16-0.0006(2q) +0.00000(3q^{2})\)

Now, substituting the value of the variable 'q' as 100:

\(c'(100)=0+0.16-0.0006(2(100)) +0.00000(3(100)^{2})\\ c'(100)=0.16-0.0006(200) +0.00000(30000)\)

⇒c'(100) = 0.16 - 0.12 =

  c'(100) = 0.04

Hence, the correct answer for the intercept c'(100) is 0.04.

What is intercept?

The term intercept can be defined as the point on the y-axis. It is used to calculate the slope of the line. And it is that point from where straight line passes.

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The directional derivative of f(x,y) at point P(1,5) in the direction of PQ is -2√2.

Find the directional derivative of the function f(x,y) = 3x² - y² + 4 at point P(1,5) in the direction of PQ, where P(1,5) as well as Q(4,2), we need to first calculate the gradient of f(x,y) at point P.

The gradient of f(x,y) at P is:

∇f(x,y) = [∂f/∂x, ∂f/∂y] = [6x, -2y]

Evaluating this at point P(1,5), we get:

∇f(1,5) = [6(1), -2(5)] = [6, -10]

Now, we need to find the unit vector in the direction of PQ. This can be calculated as follows:

u = PQ/|PQ|

where PQ = Q - P = [4 - 1, 2 - 5] = [3, -3] and |PQ| = √(3² + (-3)²) = √18 = 3√2

So, u = PQ/|PQ| = [3/3√2, -3/3√2] = [1/√2, -1/√2]

The directional derivative of f(x,y) at P in the direction of PQ is then given by:

D_u f(P) = ∇f(P) · u

where · represents the dot product.

Substituting the values we obtained earlier, wehave:

D_u f(P) = [6, -10] · [1/√2, -1/√2]

D_u f(P) = (6/√2) + (-10/√2)

D_u f(P) = -2√2

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Step-by-step explanation:

the inside expression of an absolute value expression can be positive or negative, but the result is only the positive one.

therefore, for our example here the negative case would be

2.5x - 6.8 = -12.9

which gives us

2.5x = -6.1

x = -6.1/2.5 = -2.44

and the positive case would be

2.5x - 6.8 = 12.9

and that gives us

2.5x = 19.7

x = 19.7/2.5 = 7.88

Answer:

6

Step-by-step explanation:

The two triangles are similar which means the the two length is parallel

.°., the Length of the smaller triangle=6

Answer:

the last answer... i hope this helps

Step-by-step explanation:

Answer:

Twice as many students had 3 brothers or sisters as students who had 1 brother or sister

Step-by-step explanation:

Im certain. Pls mark brainliest

Answer:

Your mother

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

When you multiply \(20\frac{4}{5}\) by \(2\frac{1}{2}\) is 52.

Answer:

A union B is 4,5,6,7!!!!!!!!........

Answer:

(-1,0,1,2)

Step-by-step explanation:

in listing the values of z it will now be (z:z= -1,0,1,2)

Answer:

12

Step-by-step explanation:

\(5(x - 3) + 11 = 4(x + 2) \\or \: 5x - 15 + 11 = 4x + 8 \\ or \: x = 12\)

See picture for math work and answer.

Answer:

15 days

Step-by-step explanation:

It seems that the fines are 10x cents for every x days overdue. Therefore, 10x = 150 (150 because $1.50 is 150 cents) so x = 15 days.

Answer:

positive and odd

Step-by-step explanation:

If a is a negative odd number, then a² can't be negative, because a number squared is always positive.

I'll illustrate this with an example.

Let's choose -7 as an example. Instead of a.

-7² = 49

So we see that the result is positive & odd.

So the words that describe a^2 are positive and odd.

The percent error of the estimate is -2.14%

In this question, the figures are given as

Estimate = 5.5 cm

Actual = 5.62 cm

The percentage of the error is then calculated using the following equation

Error percentage = (Estimate - Actual)/Actual * 100%

Substitute the known values in the above equation, so, we have the following representation

Error percentage = (5.5 - 5.62)/5.62 * 100%

Evaluate

Error percentage = -2.14%

Hence, the error percentage is -2.14%

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Answer:

X=6

Step-by-step explanation:

5x+(x+54)=90

6x+54=90

6x=36

X=6

Answer:

x + 2/x = 9/2

multiply through by x

x2 + 2 = (9/2)x

multiply through by 2

2x2 + 4 = 9x

2x2 - 9x + 4 = 0

We can factor by grouping.  2(4) = 8 ...

taken from coefficient of square term and the constant ...

Factors of 8 that add to -9 are (-8)(-1):

Replace -9x with -8x - x

2x2 - 8x - x + 4 = 0

(2x2 - 8x) - (x - 4) = 0

2x(x - 4) - (x-4) = 0

(2x-1)(x-4) = 0

2x-1 = 0 and x = 1/2

OR

x-4 = 0 and x = 4

Your two answers are {1/2, 4}

Answer:

\(3\)×\(5\)\(=15\)

\(15+1=16\)

Answer:

A and D

Step-by-step explanation:

Answer:

A and D is correct

Step-by-step explanation:

just did test on edg

Answer:i cant draw on brainly

Step-by-step explanation:i cant draw

Answer: -28y^4 - 7y^3 + 62y^2 + 5y - 30

Step-by-step explanation: Just trust me, it's correct

The domain of the function is x ≥ 1 and the range of the function is f(x) ≤ 0.

The given function is:

f(x) = -√(x-6+5)

Simplifying inside the square root gives:

f(x) = -√(x-1)

For this function, the value inside the square root must be non-negative, so we have:

x - 1 ≥ 0

x ≥ 1

So, the domain of the function is all real numbers greater than or equal to 1.

To find the range of the function,

We can note that the square root is always non-positive since it has a negative coefficient.

So, the range of the function is all real numbers less than or equal to 0.

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Answer:

The difference in earnings, over a 30-year career, for men vs women, is $1,200,150

Step-by-step explanation:

Per year.

The average man earns $90,761.

The average woman earns $50,756

So, per year, the difference is:

90,761 - 50,756 = 40,005

Over 30 years:

30*40,005 = 1,200,150

The difference in earnings, over a 30-year career, for men vs women, is $1,200,150

The difference in earnings, over a 30-year career, for men vs women, is $1,200,150.

Given that,

Based on the above information, the calculation is as follows:

Per year difference is 90,761 - 50,756 = 40,005

Now for 30 years, it is  1,200,150

Therefore we can conclude that, the difference in earnings, over a 30-year career, for men vs women, is $1,200,150.

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Using the Venn Diagram principles, the number of customers at the supermarket who purchased both shirts and pants is 26.

A Venn Diagram shows a pictorial or graphical representation of the relationship (similarities and differences) between data sets.

In a Venn Diagram, overlapping circles or other shapes can be used to depict the logical relationships between two or more data sets or items.

The total number of customers at a supermarket = 118

The number of customers who purchased shirts, n(A) = 45

The number of customers who purchased pants, n(B) = 59

The number of customers who purchased neither shirts nor pants = 40

Let the number of customers who purchased both shirts and pants = n(A ∩ B)

n(A ∪ B) = n(A) + n(B) - n(A ∩ B)

n(A) = 45 n(B) = 59 n(A ∪ B) = 118 - 40 = 78

Substituting values:

78 = 45 + 59 - n(A ∩ B)

Solving for n(A ∩ B), we get:

n(A ∩ B) = 45 + 59 - 78 n(A ∩ B) = 26

Thus, using the formula of Venn Diagram, we can conclude that at this supermarket with 118 customers, 26 customers purchased both shirts and pants.

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Answer:

( 2,1) is the center of dilation and -2 is the scale factor

Step-by-step explanation:

We can use the formula

A' = k( x-a) +a, k( y-b)+b  where ( a,b) is the center of dilation and k is the scale factor

(0,0) becomes (6,3)

( 6,3) =  k( 0-a) +a, k( 0-b)+b

6 = -ka+a

3 = -kb+b

We also have

(4,0) becomes (-2,3)

( -2,3) =  k( 4-a) +a, k( 0-b)+b

-2 =4k -ka+a

3 = -kb+b

Using these two equations

6 = -ka+a

-2 =4k -ka+a

Subtracting the top from the bottom

-2 =4k -ka+a

-6 = ka -a

-------------------

-8 = 4k

Divide by 4

-8/4 = 4k/4

-2 = k

Now solving for a

6 = -ka +a

6 = - (-2)a +a

6 = 2a+a

6 = 3a

Divide by 3

6/3 =3a/3

2=a

Now finding b

3 = -kb+b

3 = -(-2)b+b

3 = 2b+b

3 = 3b

b=1

Answer:

hope this helps uh.....

The first four terms of the geometric sequence with a first term of 3 and a common ratio of 2 are 3, 6, 12, and 24.

To find the first four terms of a geometric sequence with a first term (a1) of 3 and a common ratio (r) of 2, we can use the formula for the nth term of a geometric sequence:

\(an = a1 * r^(n-1)\)

Substituting the given values, we have:

a1 = 3

r = 2

Let's calculate the first four terms (n = 1, 2, 3, 4) using the formula:

\(a1 = 3 * 2^(1-1) = 3 * 2^0 = 3 * 1 = 3\\a2 = 3 * 2^(2-1) = 3 * 2^1 = 3 * 2 = 6\\a3 = 3 * 2^(3-1) = 3 * 2^2 = 3 * 4 = 12\\a4 = 3 * 2^(4-1) = 3 * 2^3 = 3 * 8 = 24\)

Therefore, the first four terms of the geometric sequence with a first term of 3 and a common ratio of 2 are 3, 6, 12, and 24.

In summary, the terms of the sequence are obtained by multiplying the first term (a1) by the common ratio (r) raised to the power of (n-1), where n represents the term number.

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Answer:

Step-by-step explanation:

Area of the Velocity-Time graph gives the displacement of the motion .

The loss percentage is 91%.Given that Venessa bought 80 apples for 4$, out of these apples, 25% were rotten and had to be thrown away. Venessa sold the remaining apples at 6 cents per apple.To calculate the profit or loss percentage, we need to determine the cost price, selling price, and the number of apples sold.

Cost price (CP) = 4 $.Selling price (SP) = 80 × 0.75 × 6 cents= 36 cents = 0.36 $.Now, let's calculate the profit.Profit = SP – CP= 0.36 $ – 4 $= – 3.64 $Loss = CP – SP= 4 $ – 0.36 $= 3.64 $.

Therefore, Venessa incurred a loss of $3.64 when she sold 80 apples at 6 cents per apple.Now let's calculate the loss percentage Loss Percentage = (Loss / CP) × 100= (3.64 / 4) × 100= 91%.

Therefore, the loss percentage is 91%.Note: If the result obtained after the subtraction of SP from CP is negative, it means there is a loss, and the percentage of loss can be calculated by (loss/CP) × 100.

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