Well, I have to write 20 words, so... I think this is enough.

Well, I Have To Write 20 Words, So... I Think This Is Enough.

Answers

Answer 1
Answer: Choice Dm = nb = sqrt(pi)*a

=====================================================

Explanation:

Each circle has a radius of 'a'. So r = a.

The area of each circle is pi*r^2 = pi*a^2

The area of each square with side length b is b^2

The two stacks have the same volume only when the circle area is equal to the square area, so whenever pi*a^2 = b^2 is true.

Solving for b leads to b = sqrt(pi*a^2) = sqrt(pi)*a

The stacks must also be the same height for the volumes to be the same, so m = n as well.


Related Questions



Find the circumference of the larger circle if the area of one of the smaller circles is 48 pi in^2.

A. [tex]4\sqrt{3\pi }[/tex] in.
B. [tex]8\sqrt{3 \pi }[/tex] in.
C. [tex]16\sqrt{3\pi }[/tex]in.
D. [tex]24\pi[/tex] in.

Answers

Answer:

C. 16√3π in.

Step-by-step explanation:

Circumference of a circle = 2πr where

r is the radius of the circle.

Given the area of one of the smaller circle to be 48π in², we can get the radius of one of the smaller circle.

If A = πr²

48π = πr²

r² = 48

r = √48 in

The radius of one of the smaller circle is √48.

To get the circumference of the larger circle, we need the radius of the larger circle. The radius R of the larger circle will be equivalent to the diameter (2r) of one of the smaller circle.

R = 2r

R = 2√48 inches

Since C = 2πR

C = 2π(2√48)

C = 4√48π in

C = 4(√16×3)π in

C = 4(4√3)π in

C = 16√3π in

Thw circumference of the larger circle is 16√3π in.

Step-by-step explanation:

Given two circa inscribed side by side inside a big circle, it is notice that the internal two circle are identical and diameter of the one the internal circles is equal to the radius of the big circle

So, we are given the area of one of the small circle, so from their we can find the radius of the small circle.

Area of small circle

A = 48π in²

Area of a circle is given as πr²

A = πr²

48π = πr²

Divide both side by π

48 = r²

Take Square root of both sides

r = √48 = √(16 × 3)

r = 4√3 in

Then, the diameter of the small circle is

d = 2r = 2 × 4√3

d = 8√3

So, the radius of the big circle is

R = d = 8√3

So, we want to find the perimeter of the big circle

The perimeter of a circle is calculated using

Perimeter = 2πr

P = 2πR

P = 2π × 8√3

P = 16π√3 in

So the correct option is C

P = 16√3 π in.

Find the 88th term of the arithmetic sequence 26, 28, 30,...

Answers

Answer:

200

Step-by-step explanation:

Given Arithmetic sequence is: 26, 28, 30,...

First term a = 26

Common Difference d = 2

n = 88

[tex] \because t_n=a +(n-1) d \\ \therefore \: t_{88}=26 +(88-1) \times 2 \\ \therefore \: t_{88}=26 +87 \times 2 \\ \therefore \: t_{88}=26 +174 \\ \huge \red{ \boxed{ \therefore \: t_{88}=200}} \\ [/tex]

Final answer:

The 88th term of the arithmetic sequence 26, 28, 30,... is 200.

Explanation:

The given sequence is an arithmetic sequence, where each term is obtained by adding 2 to the previous term. The first term of the sequence is 26, and the common difference is 2.

To find the 88th term of the sequence, we can use the formula for the nth term of an arithmetic sequence: an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, n is the term number, and d is the common difference.

Plugging in the given values: an = 26 + (88 - 1)2 = 26 + 87*2 = 26 + 174 = 200.

Learn more about Arithmetic sequence here:

https://brainly.com/question/32830972

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Lydia is buying cupcake ls for he brother birthday party. She brought 36 cupcakes total.Of the cupcakes she bought,5/6 of them were vanilla cupcakes, which cost $1.50. The rest of the cupcakes were chocolate, which cost $2.25 each. What was the total Lydia spent on cupcakes

Answers

Answer:

58.50

Step-by-step explanation:

First find out how many were vanilla and chocolate

vanilla: 5/6 * 36 = 30

Chocolate = total - vanilla = 36-30 =6

Cost for vanilla = 1.50*30 =45

Cost for chocolate 2.25*6 =13.5

Add the cost together

45+13.50

58.50

What is the standard form of (x+5)(x+5)

Answers

Answer:

x² + 10x + 25

Step-by-step explanation:

Given

(x + 5)(x + 5)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x + 5) + 5(x + 5) ← distribute both parenthesis

= x² + 5x + 5x + 25 ← collect like terms

= x² + 10x + 25 ← in standard form

Solve for x if cos(2x+60)=-1

Answers

Answer:

x = 60°

Step-by-step explanation:

[tex] \cos \: (2x + 60) = - 1 \\ \cos \: (2x + 60) = \cos \: 180 \degree \\ 2x + 60 = 180 \degree \\ 2x = 180 \degree - 60 \degree \\ 2x = 120 \\ x = \frac{120}{2} \\ \huge \red{ \boxed{ x = 60 \degree}}[/tex]

Hey i need help um pls ill give the crown
um im bad at math so

Rob says that this graph shows a proportional relationship. Is he correct? Explain.

Answers

Answer:

no, both lines increase at different angles

Answer:

No

Step-by-step explanation:

Because both of these functions have a constant, different growth, as one grows the other will grow at a slightly different rate, which will constantly change the ratio between their values. Since a proportional growth is one where the ratio between the values stays constant and this is not the case here, this is not a proportional relationship. Hope this helps!

Paco had 13 cookies. He ate 6 of them. How many cookies does Paco have left? Show how you can solve this problem in 2 different ways.

Answers

Answer:

He has 7 cookies left

Step-by-step explanation:

13-6=7 7+6=13

Answer:

Step-by-step explanation:

The first way you can explain is the simple standard way of subtraction using 13-6=7 or you can count up from 6 to 13 and see how many numbers are found in between.

Rayna found the curve of best fit for a set of data that represents an exponential relationship. The correlation coefficient for her curve of best fit is r= 0.274

The first is growth or decay. The second is is or is not. Which one is correct?

Answers

Answer:

The data set shows exponential GROWTH

raynas curve IS NOT a good fit for the data set

Step-by-step explanation:

Believe

Final answer:

With a correlation coefficient of r = 0.274, Rayna's exponential model is not a strong fit, and without the sign of the rate parameter, we cannot determine whether it represents growth or decay.

Explanation:

When Rayna found the curve of best fit for a set of data representing an exponential relationship with a correlation coefficient of r = 0.274, two aspects can be deduced. First, whether the relationship reflects growth or decay, and second whether the model fits well or not. The value of r indicates the strength and direction of the linear relationship between two variables.

In the context of exponential relationships, if the parameter representing the rate of change (often denoted by 'b') is positive, it indicates exponential growth; if the parameter is negative, it signifies exponential decay. Since we do not have the explicit sign of the parameter, we cannot directly conclude whether Rayna's data is demonstrating growth or decay.

The value of the correlation coefficient r = 0.274 is relatively low and thus, Rayna's exponential model is not a strong fit for the data. This is because the value of r is far from 1, and a higher correlation coefficient would suggest a stronger linear relationship between variables.

in our own words describe 0.32 meters

Answers

Answer:

0.32 meters = 0.32 × 100

32 centimetres

0.32 meters is equivalent to 32 centimetres

Answer:

0.32 meters is a unit of measurement. It is equal to 32 centimeters, 3.2 decimeters, and 0.00032 kilometers. A meter is a unit used to measure length and one meter is around a yard. The width of most doorways is around the length of one meter. Therefore, 0.32 meters is a very small amount.

Which of the following is not a property for all parallelograms?


A. Opposite sides are parallel.

B. All sides have the same length.

C. Opposite angles are congruent.

D. The diagonals bisect each other.

Answers

Answer:

B. All sides have that same length, would be the correct answer.

Step-by-step explanation:

Answers A,C, and D are all properties for all parallelograms.

Final answer:

Option B, which states that all sides have the same length, is not a property for all parallelograms. It is only true for rhombuses, which are a special type of parallelogram.

Explanation:

Among the options given, the one that is not a property for all parallelograms is:

B. All sides have the same length.

This statement is not true for all parallelograms; it is a specific property of a subset of parallelograms known as rhombi (singular: rhombus), where all four sides are congruent. However, a general parallelogram only requires opposite sides to be of equal length, not all four sides. To clarify further:

Opposite sides are parallel - True for all parallelograms.Opposite angles are congruent - True for all parallelograms.The diagonals bisect each other - True for all parallelograms.

The key distinction here is understanding that while rhombi share all the properties of parallelograms, not all parallelograms are rhombi.

Select the statement that describes this expression: 1/2 x (734 − 246).

Answers

Answer:

The value of given expression is 244.

Step-by-step explanation:

The given expression is [tex]\dfrac{1}{2}\times (734 - 246)[/tex].

We need to simply the above expression.

First of all, we will subtract 246 from 734. By doing so, we get 488.

Now, we can divide 488 by 2.

As a result we get 244.

So, the value of given expression is 244.

The required statement is "[tex]\dfrac{1}{2}[/tex] the difference between 734 and 246".

Important information:

The given expression is [tex]\dfrac{1}{2}\times (734-246)[/tex].Phrase for Expression:

(734-246) is the difference between 734 and 246.

[tex]\dfrac{1}{2}\times (734-246)[/tex] is [tex]\dfrac{1}{2}[/tex] the difference between 734 and 246.

Therefore, the required statement is "[tex]\dfrac{1}{2}[/tex] the difference between 734 and 246".

Find out more about 'Phrase for Expression' here:

https://brainly.com/question/25301924

A translation is shown on the grid below. On a coordinate plane, triangle A B C has points (negative 4, 2), (negative 4, negative 2), (negative 1, negative 2). Triangle A prime B prime C prime has points (1, 5), (1, 1), (4, 1). Which are true statements about the translation? The sides of the image and pre-image are congruent. The image is turned 90°. The angles in the image are different from the angles in the pre-image. The image is a slide of the pre-image. The image has a different shape than the pre-image. Each point has moved in a different direction. Each point has moved the same number of units.

Answers

Answer:

  a, d, g

Step-by-step explanation:

Translation is one of the "rigid motions," along with reflection and rotation. Figures subject to rigid motions are congruent. No angles or segment lengths are changed. Translation is accomplished by adding the same vertical and horizontal offsets to every point of the original figure, effectively sliding the figure to a new location. Every image line segment is parallel to its corresponding pre-image line segment.

__

The statements shown in bold are true of any translation.

The sides of the image and pre-image are congruent. The image is turned 90°. The angles in the image are different from the angles in the pre-image. The image is a slide of the pre-image. The image has a different shape than the pre-image. Each point has moved in a different direction. Each point has moved the same number of units.

Answer:

1,4,7

Step-by-step explanation:

1.) The sides of the image and pre-image are congruent.

4.) The image is a slide of the pre-image.

7.) Each point has moved the same number of units.

got 100

. You and a friend have dinner at a restaurant . Your meal costs $15.85 and you leave an 18% tip and your friend's meal cost $14.30 and he leaves a 20% tip. What is the difference in their total bills?

Answers

Answer:

$1.54

Step-by-step explanation:

18% of $15.85 is 2.853, so your total is $18.703

20% of $14.30 is 2.86, so their total is $17.16

So the difference is $1.543, rounded (since your dealing with money) would be $1.54

A water tank composed of a cylinder and 2 half spheres is shown below.

3ft high and 4ft long

The tank is being filled with drinking water by using a bucket that can hold 0.34 cubic feet of water. Emma is able to pour 5 full buckets into the tank every 3 minutes. How long will it take to fill the water tank completely at this constant rate? Use 3.14 for pi and round to the nearest whole minute.

The volume of the tank is __ cubic feet and it will be completely filled with water at the end of __ minutes.

Answers

Answer:

Hey i like your profile pic

Step-by-step explanation:

If x2 + nx + 18 = (x + 9)(x + 2), what is the value of n?

Answers

Foil the right side. Multiply first, outer, inter, and the last terms. The right side is equal to x^2 + 11x + 18x. N is 11.

PLZ HELP ME HAS SOON HAS POSSIBLE?????

Answers

Answer:

- 7/2

Step-by-step explanation:

- sqrt(49/4)

We know that sqrt(a/b) = sqrt(a)/ sqrt(b)

- sqrt(49)/sqrt(4)

- 7/2

The correct answer is -7/2.

Two cars are 400 miles apart when they start moving towards each other. The speed of the first car is 30 mph. The the second car moves 20 mph faster than the first car. After how many hours will the cars meet?

Answers

Answer:

The number of hours it will take before both cars meet is 5 hours

Step-by-step explanation:

Here we have, speed of first car, A = 30 mph

Speed of second car, B = (30 + 20) mph = 50 mph

Therefore, we have

Let the point where both cars meet be X and the time before they meet be Y

Then for car A, 30 × Y = X....................(1)

For car B, 50 × Y = 400 - X..................(2)

From plugging the value of X from equation (1) into equation (2) we have;

50·Y = 400 - 30·Y

80·Y = 400

Y = 5 hours

Therefore the number of hours it will take before both cars meet = 5 hours.

Answer

t = 5 hrs

Step-by-step explanation:

let

speed of the first car = 30 mph

speed of the second car = 20 mph + 30 mph = 50 mph

When the cars meet we know both cars will have traveled a total distance of  400 miles.

Therefore,

let's make a distance equation

speed = distance/time

distance = speed × time

first car + second car = 400 miles

30t + 50t = 400

80t = 400

divide both sides b 80

t = 400/80

t = 5 hrs

Quadrilateral D U C K is inscribed in circle O what is the measure of angle K?

Answers

Answer:

95°

Step-by-step explanation:

Two farmhouses A and B are 10.3 km apart. A third farmhouse C is located such
that angle A=83◦ and angle B=59◦. How far is C from A?

Answers

Answer:

Distance between A to C is 16.62km

Step-by-step explanation:

See attached document to get a better illustration of the angle.

A = 83°

B = 53°

C = ?

180° = 83° + 53° + C (sum of angles in a triangle is equal to 180°)

180° = 142° + c

C = 180 - 142

C = 38°

To find the distance AC, we have to use sine rule.

a / sin(A) = b / sin(B) = c / sin(C)

a / sin(A) = c / sin(C)

a /sin83 = 10.31 / sin38

Cross multiply

10.31 * sin83 = a * sin38

10.23 = (0.61566)a

a = 10.23 / 0.61566

a = 16.616 km

a = 16.62km

The distance between A and C is 16.62km

the difference between Hawaii (12 degree) and south Dakota (-58 degree)​

Answers

Answer:

Hawaii is 80 degrees warmer than Dakota.

Step-by-step explanation:

first you have to make the negative a positive by adding 58 degrees to it making it zero then you add the 12 degrees in Hawaii getting 80 degrees.

Jackson purchases a new car for $48,000. The car's value can be modeled by the
following exponential function: y = 48000(0.76)^t where y represents the car's
value and t represents time in years. What is the decay rate expressed as a
percentage? *

Answers

We have been given that Jackson purchases a new car for $48,000. The car's value can be modeled by the  following exponential function: [tex]y = 48000(0.76)^t[/tex] where y represents the car's  value and t represents time in years. We are asked to find the decay rate as a percentage.

We know that an exponential decay function is in form [tex]y=a\cdot (1-r)^x[/tex], where,

y = Final value,

a = Initial value,

r = Decay rate in decimal form,

x = time.

Upon comparing our given function [tex]y = 48000(0.76)^t[/tex] with standard decay function  [tex]y=a\cdot (1-r)^x[/tex], we can see that [tex]1-r=0.76[/tex].

Let us solve for r.

[tex]1-1-r=0.76-1[/tex]

[tex]-r=-0.24[/tex]

[tex]r=0.24[/tex]

Let us convert 0.24 into percentage.

[tex]0.24\times 100\%=24\%[/tex]

Therefore, the decay rate is 24%.

point
(Circles) What is the circumference of this circle, rounded to the nearest
tenth? Use 3.14 for T.
The radius of the cirde is 6 inches
6
in.
0
15.4 inches
18.8 inches
O
37.7 inches
O
113.0 inches

Answers

Answer:

37.68 or 37.7

Step-by-step explanation:

Circumference of a circle: 2πr

2 x 3.14 = 6.28

6.28 x 6 = 37.68 or 3.7

3) Mrs. Noah’s bill, before tax, is $50. The sales tax rate is 3%. Mrs. Noah decides to leave a 2% tip for the gate keeper based on the pre-tax amount. How much will the total bill be, includingtax and tip?

Answers

Answer:

$52.50

Step-by-step explanation:

Start with       $50

Add 2% Tip:  $1         (50 x 0.02)

Add 3% Tax: $1.5      (50 x 0.03)

Total:            $52.50

Answer:

52.50

Step-by-step explanation:

Because 3+2=5% and 5% of 50 dollars is 2.50 so 50+2.50 =52.50 dollars he is paying in total

Ellie bought 0.7kg of jelly beans from her local food festival for £1.89. She knows that to work out the price of a whole kg she simply needs to divide the price she paid by the quantity she bought.

Work out the price of 1kg of jelly beans.

Answers

Answer:

1.89£÷0.7kg=2.7£

To find the price of a whole kg you need to divide the price she paid by the quantity she bought.

Answer:

x = 2.7

Step-by-step explanation:

To find x

1) 1.89 ÷ 0.7 = 2.7

Thankyou

I’ll make sure to give you a brainliest

Answers

Answer:

Remove D

Step-by-step explanation:

The sum of the values would go from 0 to 3. Because there are 3 values when you remove one, the avg. of that would be 3/3 = +1

Annita is sewing a lace edge around a rectangular quilt She will need 144 inches of lace to do the entire quilt if the quilt is 37
inches wide, how long is the quilt?
OA. 70 inches
OB. 35 inches
c. 33 inches
OD. 72 inches​

Answers

Answer:

B

Step-by-step explanation:

So if she sews along the edge, that means 144 is the perimeter,

The shape is a rectangle, therefore 2 of the sides are 37,

You should add 37 to 37 and that will give you 74

Subtract 74 from 144 to get 70

but we're not done!

The question asked for the length of the quilt, but we only subtracted the length from the total perimeter!

Now you must divide by 2 and you should get 35 inches

Thank me later :)

round 39.473 to the nearest tenth.

I need help fast please

Answers

Answer:

39.5

Step-by-step explanation:

If the number to the right of the number your rounding to is equal to or greater than 5 round up

Answer:

39.5

Step-by-step explanation:

Step 1:  Round to the nearest tenth

39.473

Since the hundredths place is greater or equal to 5, we round up the tenth's place.

39.473

39.5

Answer:  39.5

How many solutions does -103x-6=-6x-103

Answers

Answer:

one solution

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Since this is a linear system, there can be 1, 0, or infinite solutions. In order to determine this, we need to solve this equation.

First, isolate the variables to one side:

0 = 97x -97

97x = 97

x = 1.

Thus there is one solution.

If we had gotten a statement such as 1 = 1, there would have been infinite.

If we had gotten a statement such as 1 = 0, there would have been no solution.

Write the equation for a parabola with a focus at (2, 2) and a directrix at x = 8.

Answers

Answer:

 x = -1/12(y -2)² +5

Step-by-step explanation:

You want the equation of the parabola with focus (2, 2) and directrix x = 8.

Vertex

The directrix is a vertical line to the right of the focus. This means the parabola opens to the left. The vertex is halfway between the focus and the directrix, so its coordinates are ...

  vertex = ((2 +8)/2, 2) = (5, 2)

Leading coefficient

The leading coefficient will be negative for a parabola that opens to the left. Its magnitude is 1/(4p), where p is the distance from the focus to the vertex. Here, that distance is 5 -2 = 3, so the leading coefficient is ...

  -1/(4p) = -1/(4·3) = -1/12

Equation

In vertex form, the equation of the parabola is ...

  x = a(y -k)² +h . . . . . . . . . . . vertex (h, k); leading coefficient 'a'

  x = -1/12(y -2)² +5

The equation of the parabola is [tex]\( (x-5)^2 = 12y \), with focus (2, 2) and directrix \(x = 8\).[/tex]

The standard equation for a parabola with a vertical axis of symmetry is:

[tex]\[ (x-h)^2 = 4p(y-k) \][/tex]

where (h, k) is the vertex of the parabola and p is the distance between the vertex and the focus (or the vertex and the directrix).

Given that the focus is at (2, 2) and the directrix is at x = 8, we can find the distance between the focus and the vertex, which is p. Since the directrix is a vertical line, the vertex's x-coordinate is the midpoint between the x-coordinate of the focus and the x-coordinate of the directrix:

[tex]\[ h = \frac{{x_f + x_d}}{2} = \frac{{2 + 8}}{2} = 5 \][/tex]

So, the vertex is at (5, k). Since the focus is above the vertex, k > 2.

Now, we find the distance between the focus and the vertex, which is equal to p. The distance formula is:

[tex]\[ p = \sqrt{(x_f - h)^2 + (y_f - k)^2} \]\[ p = \sqrt{(2 - 5)^2 + (2 - k)^2} \]\[ p = \sqrt{9 + (2 - k)^2} \][/tex]

Given that p is the distance from the focus to the vertex, we know that [tex]\(p = 3\).[/tex]

So, the equation of the parabola is:

[tex]\[ (x-5)^2 = 12(y-k) \][/tex]

Now, we need to find the value of k. Since the vertex lies on the parabola, we can substitute the coordinates of the vertex into the equation:

[tex]\[ (5-5)^2 = 12(0-k) \]\[ 0 = -12k \]\[ k = 0 \][/tex]

So, the equation of the parabola is:

[tex]\[ (x-5)^2 = 12y \][/tex]

If r is an integer greater than 1, what is the value of (−1)r +1 if:
a) r is an odd integer
b) r is an even integer

I NEED THE ANSWER IN 30 MINS FOR SCHOOL! HELP!!!!!!!!!!!!!!!!!!!!!

Thanks in advance

Answers

Answer:

a is 0, b is 2

Step-by-step explanation:

Ik its late, but it was pretty ez. Just plug in dem numbers.

a. In the case when r is an odd integer so it should be zero.

b. In the case when r is an even integer so it should be two.

Calculation of the value:

a.. In the case when r is an odd integer

So,

[tex]= (-1)^r + 1[/tex]

= -1 + 1

= 0

b. In the case when r is an even integer

So,

= 1 + 1

= 2

Learn more about an integer here: https://brainly.com/question/18274355

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The study shows that $74,000 of the $112,000 in monthly fixed expenses charged to Product X would not be avoidable even if the product was discontinued. If Product X is discontinued, the annual financial advantage (disadvantage) for the company of eliminating this product should be: An important long-term result of the Crusades in the Middle East was the 16. Which of the following pieces of information from the selection from Life on theMississippi is presented in the form of an anecdote?"Othe author's inclusion of technical words used by the apprentice engineerOthe author's account of his first attempt to get a job on a steamboatothe author's long description of the decorations on the packet boatOthe author's description of the residents of his hometown What would be the most likely effect of adding wolves to the park?OA. Increased snowshoe hare populationOB. Decreased balsam fir populationOC. Increased maple populationOD. Increased beaver populationSOMEBODY HELP!!! Other people said the increase of balsam fir but mine says a decrease in a balsam fir floundered to firmer footing figurative language What was an unexpected effect of Eli Whitneys cotton ginA. The reduction of slaveryB. The growth of slaveryC. The creation of slaveryD. The elimination of slavery A/An is a group of organs that work together to perform a common function. A/An is a group of tissues that work together to perform a common function. A/An is a group of organ systems that work together to perform a common function. A/An is a basic unit of structure and function of all living things. A/An is a group of cells that work together to perform a common function. A common physics demonstration is to drop a small magnet down a long, vertical aluminum pipe. Describe the motion of the magnet through the pipe and explain the physical processes that cause this motion. answer please quick The level of elevation zone pyramid below that is labeled with the number one should be titled ______. It represents the _______ climate type.A. Tierra helada . . . polarB. Tierra templada . . . moderateC. Tierra calienete . . . tropicalD. Tierra fria . . . dry Use the drop-down menus to answer the questions. Which organism begins this food chain and is a producer? Which organism gains energy from eating the frog? Which organism has the most available energy in this food chain? Which option is an example of a compound sentence?A. The practice of an animal testing should be stopped, and the labs should be dismantled.B. Because animal testing is so cruel, it should be stopped immediately.C. Animal testing is cruel way to advance the progress of science. D. Animal testing is cruel because animals suffer horrible deaths. Nicotiana attenuata is subject to damage by both generalist and specialist herbivores. The production of nicotine is not effective against one specialist, M. sexta. If an individual of N. attenuata is being eaten by both M. sexta and a generalist herbivore, what would you expect to happen? how many papers are in the gcse business exam What is Kb for C5H5N(aq) + H2O() = C5H5NH+(aq) + OH(aq)? The angular velocity of a 755-g wheel 15.0 cm in diameter is given by the equation (t) = (2.00 rad/s2)t + (1.00 rad/s4)t 3. (a) Through how many radians does the wheel turn during the first 2.00 s of its motion? (b) What is the angular acceleration (in rad/s2) of the wheel at the end of the first 2.00 s of its motion? Your patient is a child weighing 45 pounds. The doctor has ordered Achromycin syrup 0.02 gm per pound q.i.d. The bottle you have on hand is labeled 125 mg per tsp. How many ml will the child receive PER DAY?