#8: Donovan publishes a magazine of short stories. He keeps
track of the number of copies (y) of the magazine he has sold
after each of the first x days. After 1 day,
Donovan had sold 20 copies of his magazine. After 2 days, he
had sold 32 copies of his magazine. He connects these two
points with a straight line to estimate his
future sales. What is the equation of the line Donovan drew?
A.Y-20= 12(x - 2)
B.Y-32= 12(x - 20)
C.Y-2012(x - 1)
D.Y-2 = 12(x - 1)

The centroidal is the Y-Y centroidal axis will need to use the transfer formula (1 = 1. + ada) to calculate the moment of inertia relative to the centroid for the given shape below. The moment of inertia of the rectangular section and two pipe sections are to be calculated separately and then added together to find the total moment of inertia.

The centroid of the rectangular section is given and that of pipe sections can be calculated using parallel axis theorem. The formula for moment of inertia of a rectangle about centroidal X-axis is

1/12 * b*h³.

Hence,

I = 1/12 * 0.5 * 4³

\(= 2.67 in^4.\)

The centroid of pipe sections is at a distance of 2 inches from the centroid of the rectangular section. The moment of inertia of a pipe section about a centroidal axis is

π/64 (OD⁴ – ID⁴).

Hence, the moment of inertia of both pipe sections about the centroidal X-axis is

\(2 * π/64 * (2 * 2^4 - 2 * 1.68^4) = 17.9 in^4.\)

The total moment of inertia about centroidal X-axis is 20.6 in^4.Question 10: The moment of inertia of the rectangular section and two pipe sections are to be calculated separately and then added together to find the total moment of inertia. The centroid of the rectangular section is given and that of pipe sections can be calculated using parallel axis theorem. The formula for moment of inertia of a rectangle about centroidal Y-axis is 1/12 * h*b³.

Hence, I

\(= 1/12 * 5 * 0.5³ = 0.0521 in^4.\)

The centroid of pipe sections is at a distance of 2.5 inches from the centroid of the rectangular section.

The moment of inertia of a pipe section about a centroidal axis is π/64 (OD⁴ – ID⁴). Hence, the moment of inertia of both pipe sections about the centroidal Y-axis is 2 *\(π/64 * (2.5^4 - 1.68^4) = 262 in^4.\)

To know more about centroidal axis visit:-

https://brainly.com/question/30465455

#SPJ11

45 mins

Step-by-step explanation:

A quarter of an hour is 15 mins. If jasper walks 1/2 a mile in 15 mins then in 1.5 miles is 3 times that. 15x3 is 45.

Answer:

11

Step-by-step explanation:

H =V/(LxW)/3

H = 297/(9x9)/3

H = 297/(81)/3

H = 297/27

H = 11

Therefore, the height of the pyramid is 11ft square

Answer:

normal force decreases

Step-by-step explanation:

N=mgcosθ, and cosine decreases as theta increases

consider joining our disc*rd server for unlimited hw help! we also have an active giveaway rn. code: RPEdT3erFm <3

Answer:

A) decreases

Step-by-step explanation:

As the angle of the incline increases, the normal force decreases, which decreases the frictional force. The incline can be raised until the object just begins to slide.

A rectangular pigpen is to be built against a wall so that only three sides will require fencing and if p feet of fencing are to be used, the area of the largest possible pen is (p/4)²

A rectangular pigpen is to be built against a wall so that only three sides will require fencing. If p feet of fencing are to be used. To Find: the area of the largest possible pen. Solution: Let ABC be a rectangular pen with A on the wall and the other vertices B and C on the ground.

Let AB = x, BC = y and AC = h (height of the pen)∴ p = x + y + h...[Given]⇒ h = p - (x + y) ...(i)Area (A) of the rectangular pen ABC = xy ...(ii)From equation (i) ⇒ h = p - (x + y) ...(i)By substituting this value in equation (ii) we get:⇒ A = x(p - x - y)⇒ A = px - x² - xy .....

(iii)To maximize A, we take the derivative of (iii) w.r.t x and equate it to zero.⇒ dA/dx = p - 2x - y = 0 ⇒ y = p - 2x .....(iv)Substituting equation (iv) in equation (i), we get⇒ h = 2x - p Substituting x = p/4 in equation (iii), we get the area of the largest possible pen.⇒ A = (p/4)²

Therefore, the area of the largest possible pen is (p/4)².Hence, option (C) is the correct answer.Note: This is a maximization problem of a function of two variables, given the relationship between those two variables. Therefore, the first step is to set up an equation that relates the variables.

Then find a function that you want to maximize or minimize and proceed accordingly.

To know more about maximize  refer here:

https://brainly.com/question/30072001#

#SPJ11

Answer

Dude my name is Lara and my fourth grade teacher was mrs. Watson..... but the dress shop is the answer.... guess my boutique just wasn’t it huh:

Step-by-step explanation:

Step-by-step explanation:

Use Pythagorean theorem to find the base of the right triangle

221^2 = 195^2 + b^2

b = 104 km

triangle area = 1/2 base * height =  1/2 * 104 * 195 = 10140 km^2

Now multiply by the height to find volume

10140 km^2  * 15 km  = 152100 km^3

Answer:

On a coordinate plane, a straight line crosses the y-axis at (0, 0)

Step-by-step explanation:

Required

Which represents a proportion

For a graph to represent a proportion, the line of the graph must pass through the origin (i.e. it must pass through (0,0))

From the list of options, only option (a) passes through (0,0).

Other options (b - d) pass through points other than the origin.

Hence, (a) is correct

Answer:

sorry i cannot do this

Step-by-step explanation:

i am sorry

The group of volunteers can make a total of 200 masks out of 25 yards of fabric.

To calculate the number of masks that can be made, we divide the total amount of fabric (25 yards) by the amount of fabric required per mask (1/8 yard). To do this, we first convert the fraction 1/8 to decimal form, which is 0.125. Then, we divide the total fabric (25 yards) by the fabric required per mask (0.125 yards). This can be done by dividing 25 by 0.125, which equals 200. Therefore, the group of volunteers can make a total of 200 masks out of 25 yards of fabric. Each mask requires 1/8 yard of fabric, so dividing the total fabric by the fabric required per mask gives us the total number of masks that can be made.

Calculation steps:
1. Convert the fraction 1/8 to decimal form: 1/8 = 0.125.
2. Divide the total fabric (25 yards) by the fabric required per mask (0.125 yards):
  25 / 0.125 = 200.


To know more about decimal visit:

https://brainly.com/question/2362378

#SPJ11

Flight will reach Auckland at 11:22 am with respect to Auckland time.

We have the following given information which states as follows

A flight to Sydney to Auckland takes 3 hours and 12 minutes.

∴ Total journey time = 3hr 12min.

Auckland times is 2 hours ahead of Sydney's time.

∴ Change in time will be 2hr

The flight departed Sydney at 10:10 am

∴ Flight will reach Auckland after the journey time

∴ Flight will reach Auckland after 3hr 12min

∴ Flight will reach Auckland at 01:22 pm

But Auckland times is 2 hours ahead of Sydney's time.

∴ Change in time will be 2hr

∴ Flight will reach Auckland 2hr less than the considered reach time with respect to Sydney.

∴ Flight will reach Auckland at 11:22 am.

For more about time zone visit the link below

https://brainly.com/question/14708564

#SPJ9

Answer:

it is -2

Step-by-step explanation:

Answer:

52a² - 39a

Step-by-step explanation:

Step 1: Write out expression

3a(4a - 5) - 4a(6 - 10a)

Step 2: Distribute

12a² - 15a - 24a + 40a²

Step 3: Combine like terms (a²)

52a² - 15a - 24a

Step 4: Combine like terms (a)

52a² - 39a

Answer:

THE answer is y= -2x²+16x-24

Step-by-step explanation:

OK, so the standard form for an equation is ax²+bx+c

When you look at the equation we see that there is a -2 all by itself so we need too bring it within the parenthesis, so we'll distribute it..... so now instead of 2(x-6), we have -2x-12..........Why? because (2 times x is 2x and 2 times six is 12)

next when you write it ALL out, you get (-2x+12)(x-2) now we need to put this in the standard form by using the FOIL method  

F- first O-outer I-inner L-last..... so multiplying the First from both equations we get -2x², Outer is -2x times -2 which is 4 because two negatives make a positive, Inner is 12 times x which is 12x, Last is 12 times -2 whchis -24. Put them all together and you get. 2x²+12x+4x- 24, now we combine like terms (in bold) and we get -2x²+16x-24. Look at the standard form i gave above and see how the final answer matches

-2x²+16x-24

ax² +bx   + c

Answer:

4 CD's cost $30.40, so one CD costs:

80% of the regular price is $7.60

If the regular price is r, we have:

3 CD's at regular price cost:

Since $25 < $28.5, we can't buy 3 more CD's.

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

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

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

Learn more about Scheduling here:

brainly.com/question/30012511

#SPJ4

Only when b = 0 or k = 1.

If f(x) = mx + b, then

f (kx) = m (kx) + b = mkx + b

while

k f(x) = k (mx + b) = kmx + kb

The two expression are identical only if

kb = b   ===>   kb - b = 0   ===>   b (k - 1) = 0   ===>   b = 0 or k = 1

The arc length of the sector is 7.85 meters whose circumference is 20π meters.

In geometry, a sector is a part of a circle enclosed by two radii and an arc. The arc of a sector is a portion of the circumference of the circle. Sectors are often used in geometry and trigonometry to calculate areas, angles, and other measurements.

The equation for a circle's circumference is:

C = 2πr

Since we know the circumference of the circle, we can solve for the radius:

20π = 2πr

Dividing both sides by 2π, we get:

r = 10

Arc length = (central angle / 360°) x 2πr

where r is the radius and the central angle is in degrees.

Plugging in the given values, we get:

Arc length = (45° / 360°) x 2 x 3.14 x 10

Arc length = (1/8) x 62.8

Arc length = 7.85 meters

Therefore, the arc length of the sector is 7.85 meters.

To know more about sector visit:

https://brainly.com/question/15591260

#SPJ1

Answer:

9 days

Step-by-step explanation:

because if you turn 7 ⅞ into 63/8 then do 63÷7 you get 9

Answer:

9 days.

write 7/8x9, and put a 1 under it.

7x9=63

8x1=8

63/8 simplified is 7 7/8

Step-by-step explanation:

Step-by-step explanation:

Line C does not follow the trend of points. Lines A and B have an excess number of points above their lines. Only Line D has a relative equal number of points above and below the line.

The answer is D.

The solution is, The graph that best approximates the line of best fit is option D.

Here, we have,

we know that,

Line of Best Fit:

This refers to the line that is used in a scatter plot to show and indicate a relationship between the points so that the number of points above the line is equal to the points below the point.

Line C does not follow the trend of points. Lines A and B have an excess number of points above their lines. Only Line D has a relative equal number of points above and below the line.

Hence, from the given illustration of graphs, we can see that using the eyeball method, we can see that the number of points in option D is best balanced between the line above and below.

The answer is D.

Read more about the line of best fit here:

brainly.com/question/15340339

#SPJ7

The evaluated limit is 1/4.

a) To find the derivative of the implicit function T(x+y)y-2? = (x+2), we can differentiate both sides of the equation with respect to x using the chain rule and product rule.

Differentiating the left side:

d/dx [T(x+y)y-2] = d/dx [(x+2)]

Applying the product rule, we have:

[T(x+y)] * (dy/dx) * y^(-2) + (x+y) * d/dx [y^(-2)] = 1

Now, let's solve for (dy/dx):

[T(x+y)] * (dy/dx) * y^(-2) + (x+y) * (-2y^(-3)) * (dy/dx) = 1

Rearranging the equation and factoring out (dy/dx):

(dy/dx) * [T(x+y)y^(-2) - 2(x+y)y^(-3)] = 1

Finally, we can solve for (dy/dx) by dividing both sides by the expression in brackets:

dy/dx = 1 / [T(x+y)y^(-2) - 2(x+y)y^(-3)]

b) To evaluate the limit using L'Hopital's Rule for lim(x->2+) ln(x-2) / ln(x^2-4), we can apply the rule to the numerator and denominator separately.

Taking the derivative of the numerator and denominator:

lim(x->2+) [d/dx ln(x-2)] / [d/dx ln(x^2-4)]

The derivative of ln(x-2) is simply 1/(x-2), and the derivative of ln(x^2-4) is 2x/(x^2-4).

Substituting these derivatives back into the limit expression, we have:

lim(x->2+) [1/(x-2)] / [2x/(x^2-4)]

Now, we can evaluate the limit by substituting x = 2:

lim(x->2+) [1/(2-2)] / [2(2)/((2^2)-4)]

= 1 / 4

Therefore, the evaluated limit is 1/4.

Know more about Derivatives  here:

https://brainly.com/question/25324584

#SPJ11

Answer:

The probability that a patient’s condition will not worsen after the procedure is 100% - 4% = 96%. Since the procedure is independent for each patient, the probability that none of the 5 patients’ conditions will worsen is 0.96^5 ≈ 81.5%. So, the best answer from the choices provided is 81.5%.

Step-by-step explanation:

To calculate the length of the curve defined by r(t) = 〈2 cos(t), 2 sin(t)〉 with the domain -π/2 ≤ t ≤ π/2, we need to find the arc length using the following formula:

Arc length = ∫(from a to b) ||r'(t)|| dt

First, let's find the derivative r'(t) of the given vector function r(t):

r(t) = 〈2 cos(t), 2 sin(t)〉
r'(t) = 〈-2 sin(t), 2 cos(t)〉

Next, find the magnitude ||r'(t)|| of the derivative vector:

||r'(t)|| = √((-2 sin(t))^2 + (2 cos(t))^2)
||r'(t)|| = √(4 sin^2(t) + 4 cos^2(t))

Factor out 4:

||r'(t)|| = √(4(sin^2(t) + cos^2(t)))

Since sin^2(t) + cos^2(t) = 1:

||r'(t)|| = √(4) = 2

Now, we can find the arc length by integrating ||r'(t)|| over the given domain:

Arc length = ∫(from -π/2 to π/2) 2 dt

To integrate, simply multiply the constant by the difference in t:

Arc length = 2(π/2 - (-π/2)) = 2(π) = 2π

So, the length of the curve is 2π.

Lear more about length of the curve from : brainly.com/question/31376454

#SPJ11

The inequality 54x/64 ≥ 49x/59 simplifies to x ≥ 0. Thus, the solution for x is greater than or equal to zero.

To solve the inequality 54x/64 ≥ 49x/59, we can begin by cross-multiplying:

(54x)(59) ≥ (49x)(64)

3186x ≥ 3136x

Next, we can subtract 3136x from both sides:

3186x - 3136x ≥ 0

50x ≥ 0

Finally, we divide both sides by 50:

x ≥ 0/50

x ≥ 0

Therefore, the solution to the inequality is x ≥ 0.

To learn more about inequality visit:

https://brainly.com/question/30238989

#SPJ11

Answer: 22( w + 2 ) =77 and the amount of the water bottle would be 1.50

Step-by-step explanation: i dont know what to write??

The subset S = {0} is a commutative unital subring of the matrix ring M₂(R) over a commutative ring R with 1.

To show that S = {0} is a commutative unital subring of M₂(R), we need to verify three properties: closure under addition, closure under multiplication, and the existence of an additive identity (zero element).

Closure under Addition:

For any A, B ∈ S, we have A = B = 0. Thus, A + B = 0 + 0 = 0, which is an element of S. Therefore, S is closed under addition.

Closure under Multiplication:

For any A, B ∈ S, we have A = B = 0. Thus, A · B = 0 · 0 = 0, which is an element of S. Therefore, S is closed under multiplication.

Additive Identity (Zero Element):

The zero matrix, denoted by 0, is the additive identity element in M₂(R). Since 0 is an element of S, it serves as the additive identity element for S.

Additionally, since S contains only the zero matrix, it is trivially commutative, as matrix addition and multiplication are commutative operations.

Therefore, S = {0} satisfies all the requirements of being a commutative unital subring of M₂(R).

To learn more about commutative ring visit:
brainly.com/question/30972673

#SPJ11

Answer: f(4) = 8,                     f(-5) = -19,                 f(2-x) = -3x+2

Step-by-step explanation:

Let's start by analyzing what we are given:

f(x)=3x-4

In this equation, f is the name of the function.

The number in the parentheses represents x.

The 3x-4 tells us what the equation does. In this instance, we multiply x by 3 and then subtract 4.

Let's start with (a).

f(4)

Since we have established that the number in the parentheses is x, we can plug 4 in for x into the equation f. We must abide by the order of operations. Therefore, we can obtain the following:

f(4) = 3(4) -4

f(4) = 12 -4

f(4) = 8

We can continue this for part (b).

f(-5) = 3(-5) -4

f(-5) = -15-4

f(-5) = -19

Part (c) is slightly different, but applies the same principles we established previously. On this part, we must recall the distributive property. The 3 multiples the 2 and the x. We must also remember to combine like terms.

f(2-x) = 3(2-x) -4

f(2-x) = 6 - 3x -4

f(2-x) = -3x +2

Answer:

1.47

Step-by-step explanation:

Use the multiplication method.

Answer:

Hello!

_______________________-

4.9 x 0.3 = 1.47

Step-by-step explanation: Multiply 4.9 by 0.3 then you get 1.47.

Hope this helped you!

This expression yields: 4x^8 = 4 * (1/4)^(8/3)

If the expression 4x^3 is equal to 1 for some value of x, we can find the value of x by solving the equation:

4x^3 = 1

Dividing both sides of the equation by 4, we get:

x^3 = 1/4

Taking the cube root of both sides, we find:

x = (1/4)^(1/3)

Now, to determine the value of the expression 4x^8 for the same value of x, we substitute the value of x into the expression:

4x^8 = 4 * ((1/4)^(1/3))^8

Simplifying this expression yields:

4x^8 = 4 * (1/4)^(8/3)

Further simplification depends on whether you want an exact answer or an approximation. If you need an approximate value, please provide the desired level of precision.

Learn more about  expression from

brainly.com/question/1859113

#SPJ11