The radius of a circle is 5 cm (to the nearest cm). What is the smallest value
that the circumference could have?

Answers

Answer 1

Answer: 31 cm.

explanation:

Given, Radius = 5 cm (near to)

this means the radius is near 5 cm. It can be 4.9, 4.99, 4.999.....or 5.01,5.001,5.001...... and so on.

So, the circumference of the circle is given by:-

Circumference = 2× [tex]\pi[/tex] × r

2 × 22/7 × 5    (for the smallest value, we'll consider r as 5 and then round off the circumference to the smallest value)

⇒ 220/7 ≈ 31.43 cm

rounding off to the smallest integer, we have

Circumference = 31 cm.

Answer 2

The smallest value that the circumference could have is 10 [tex]\pi[/tex]cm

Using Formula,

Circumference = 2 [tex]\pi \\[/tex] r

Radius = 5 cm

So, C = 2 [tex]\pi[/tex] 5

C = 10 [tex]\pi[/tex]cm

Therefore circumference is 10 [tex]\pi[/tex]cm.

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Related Questions

Can somebody help me

Answers

Step-by-step explanation:

first function, f(x) = 5x-3 goes with option B

2nd function, 4- 4x goes with option A

3rd function goes with option D

4th goes with option C

Which is the graph of 2x - 4y > 6?
-4 -2
2
-2
2
RUTA
4-2
414
2
O
W
4 -4-2
414
2
-2
O
2
RY
4
-2
2
211

Answers

Answer:

  (d)  see attached

Step-by-step explanation:

There are a couple of quick checks you can do to identify the correct graph.

__

shading and line style

Find a variable with a positive coefficient, and write that in the given relation to the inequality symbol:

  x >

This tells you ...

shading is to the right of the line (where x-values are greater)the line is dashed (the = case is not included)location of the line

The x-coefficient is a factor of the constant, so the x-intercept of the boundary line is easily found. Set y=0, and you have ...

  2x = 6

  x = 3

The boundary line you're looking for has an x-intercept at x=3.

__

The correct graph is shown in the attachment.

Genesis throws a ball up in the air. The graph below shows the height of the ball hh in meters after tt seconds. Find the interval for which the ball’s height is decreasing.


help please

Answers

We conclude that the interval in which the function decreases is (1.5, 3]

In which interval is the ball's height decreasing?

The ball is decreasing when the graph, reading from left to right, is going downwards.

Particularly, in this parabola that opens downwards, the graph will decrease after the vertex.

And we can see that the vertex is at x = 1.5

And we also see that the graph of the function ends at x = 3.

Then we conclude that the interval in which the function decreases is (1.5, 3]

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Denise and Stacey went to a carnival. The admission fee was $6 per person. Each ride at the carnival costs c dollars. The game booths charged g dollars for each game. Both Denise and Stacey went on 7 rides each. Stacey played 3 games, while Denise played 2 games. Which expression represents the total amount of money that Denise and Stacey spent at the carnival?

Answers

The total amount of money that Denise and Stacey spent at the carnival is 12 + 14c + 5g dollars.

What is total amount?

The amount that you get when you add several numbers or things together.

The total amount of money that Denise and Stacey spent at the carnival will be money spent on admission + ride + game.

Total amount = 2 * 6 + 2 ( 7 * c ) +  ( 3 * g + 2 * g )

                      = 2 * 6 + 14 * c + 5 * g

                      = 12 + 14c + 5g dollars.

Therefore, the total amount of money that Denise and Stacey spent at the carnival is 12 + 14c + 5g dollars.

The questions seems incomplete, its option could be:

12 + 14c + 5g 12 + 14g + 5c 12 + 7g + 5c 12 + 7c + 5g.

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find the x intercepts of the following linear function 3x-5y=-15

Answers

Answer:

(-5, 0)

Step-by-step explanation:

The y value of an x intercept is always 0. Therefore, we can substitute 0 for y in the equation to find the x intercept:
3x - 5(0) = -15
3x = -15
x = -5
The x intercept is (-5, 0)

I got (-5,0) not 100% sure it’s right could be (5,0) but I think it’s the first one more!!

Solve for x in the triangle. Round your answer to the nearest tenth.
14
x
68
X

Answers

Answer:

x=15.1

Step-by-step explanation:

Side definitions

In a right triangle, the side across from the right angle is always the hypotenuse.

The other two sides are termed "legs".

Once one of the other two angles is chosen as the angle to work from, then the two legs can be defined as the "opposite" and the "adjacent"

The leg touching the angle is the "adjacent" leg (or adjacent side), and the leg across from the angle is the "opposite" leg (or opposite side).

Trigonometric function definitions

[tex]\sin(\theta)=\dfrac{\text{opposite side}}{\text{hypotenuse}}[/tex]

[tex]\cos(\theta)=\dfrac{\text{adjacent side}}{\text{hypotenuse}}[/tex]

[tex]\tan(\theta)=\dfrac{\text{opposite side}}{\text{adjacent side}}[/tex]


The given situation

In this situation, the given angle is in the bottom right.  A value is given for the side opposite the given angle, and the requested value is on the hypotenuse.

So, the two sides of interest are the "opposite" and the "hypotenuse".  The trigonometric function that relates these two sides is the sine function.

Calculating x

[tex]\sin(\theta)=\dfrac{\text{opposite side}}{\text{hypotenuse}}[/tex]

[tex]\sin(68^o)=\dfrac{(14)}{(x)}[/tex]

Evaluating the sine function in a calculator (in degree mode):

[tex]0.9271838546...=\dfrac{14}{x}[/tex]

Multiply both sides by x:

[tex](0.9271838546...)x=\left (\dfrac{14}{x} \right)x[/tex]

[tex](0.9271838546...)x=14[/tex]

Divide both sides by the decimal number:

[tex]\left (\dfrac{(0.9271838546...)x}{0.9271838546...} \right)=\dfrac{14}{0.9271838546...}[/tex]

[tex]x=15.0994864...[/tex]

Rounded to the nearest tenth, x=15.1

I need helpppppp asap

Answers

Answer:

graph A

Step-by-step explanation:

When looking at a graph, there are two different axes. The vertical values--marked by the center up/down line--are "y-values"; and this is called the "y-axis"

The horizontal values--marked by the left/right line--are "x-values"; and this is called the "x-axis"

For the x-axis, values to the left side of the origin (the place where the y-axis and x-axis intercept) are smaller than 0--they are all negative values.

Values to the right side of the origin are positive--greater than 0.

For the y-axis, positive numbers are on the top half [once again, the midpoint / 0 is where the two lines are both = to 0; the origin] and negative numbers are on the bottom half.

Ordered pairs (points) are written as (x,y)

(x-value, y-value)

We are looking for a graph that decreases (along the y-axis), hits a point below the origin, and goes flat/stays constant.

When a graph is decreasing (note: we read graphs from left to right), the line of the graph is slanted downwards (it looks like a line going down).

So, if we look at the graphs, we can see Graph A descending, crossing the y-axis {crossing the middle line /vertical line / y-axis} at a value of -7, and then staying constant (it is no longer increasing or decreasing because the y-values stay the same)

hope this helps!!

one phone company charged 65% of its normal long-distance rate after 5 p.m. A day-rate long-distance call from Houston to Chicago costs 20 cents per minute. How much is an 11-minute call between these two cities after 5 p.m. ?

Answers

The cost of 11-minute call between these two cities after 5 p.m is: 142.

Cost

Given:

Charges for long distance=65% or .65

Cost=20 cents per minutes

Number of call minutes=11 minutes

Hence:

Cost =20 cents ×11 minutes times 0.65

Cost =143 cents

Therefore the cost of 11-minute call between these two cities after 5 p.m is: 142.

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PLEASE HELP ASAP PLEASEEEEEEE PLEASEEEEEEEEE EASY 20 POINTS

Answers

The transformation of a function may involve any change. The function with the graph are given below.

How does the transformation of a function happen?

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming horizontal axis is input axis and vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units:  y=f(x+c) (same output, but c units earlier)Right shift by c units: y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + dDown by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k \times f(x)Horizontal stretch by a factor k: y = f\left(\dfrac{x}{k}\right)

The real graph of the function is f(x)=x², now if the graph of the given function can be found by using the transformation rule as shown above. The function with the graph are given below.

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Find the solutions to x² = 8.
A. x- +4√6
B. x- +4√√2
C. x=+2√4
D. x=+2√2

Answers

Answer:

D. 2√2

Step-by-step explanation:

x² = 8

x = √8

x = √4 x √2

x = 2√2

Step-by-step explanation:

[tex] x {?}^{2} \sqrt{2 \times 2 \times 2} \\ \\ x { }^{2} = 2 \sqrt{2} [/tex]

What are the possible values of x in 8x² + 4x=-1? OA 2+1√2 3 -1±i 16 SOB. OC -1t с. 4 OD. 11 4 OE. 1ti√2 1+1/2 4 What are the possible values of x in 8x² + 4x = -1 ? OA 2 + 1√2 3 -1 ± i 16 SOB . OC -1t с . 4 OD . 11 4 OE . 1ti√2 1 + 1 / 2 4​

Answers

Answer:

4

Step-by-step explanation:

4

The possible values of x are:

x = -1/2 + i/2

x = -1/2 - i/2

What is a quadratic equation?

A basic quadratic equation, or a second-order polynomial equation with a single variable, is represented by the equation x : ax² + bx + c = 0, where a≠0 for the variable x. As it is a second-order polynomial equation, which is ensured by the algebraic fundamental theorem, it must have at least one solution.

To find the possible values of x in equation 8x² + 4x = -1, we need to solve for x.

First, we can rearrange the equation to get:

8x² + 4x + 1 = 0

We can solve this quadratic equation using the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

where a, b, and c are the coefficients of the quadratic equation in standard form (ax² + bx + c).

In this case, a = 8, b = 4, and c = 1. Substituting these values into the quadratic formula, we get:

x = (-4 ± √(4² - 4(8)(1))) / 2(8)

x = (-4 ± √(16 - 32)) / 16

x = (-4 ± √(-16)) / 16

x = (-4 ± 4i) / 16

where i is the imaginary unit, which is defined as the square root of -1.

Therefore, the possible values of x are:

x = (-4 + 4i) / 16

x = (-4 - 4i) / 16

These values can also be simplified as:

x = -1/2 + i/2

x = -1/2 - i/2

So the possible values of x are complex numbers, specifically x = -1/2 ± i/2.

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Christina knits a scarf for each of her 7 friends. Altogether, the scarfs had a total length of 39.9 ft. if each scarf has the same length. how long was each scarf? write answer in inches

Answers

The length of each scarf knitted for the 7 friends given the total length of the scarf altogether is 5.7 ft

Length of each scarfNumber of friends = 7Total length of scarf = 39.9 ft

Length of each scarf = Total length of scarf / Number of friends

= 39.9 ft / 7

= 5.7 ft

Therefore, the length of each scarf knitted for the 7 friends given the total length of the scarf altogether is 5.7 ft

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Select the correct answer. Consider this function. Which graph represents the inverse of function f? The linear function on a coordinate plane passes through (4, 3), and (2, 2) which intercepts the axis at (0, 1), and (minus 2, 0). W. The linear function on a coordinate plane passes through (minus 4, 4), and (2, 1) which intercepts the axis at (4, 0), and (0, 2). X. The linear function on a coordinate plane passes through (3, 4), and (minus 1, minus 4) which intercepts the axis at (1, 0), and (0, minus 2). Y. The linear function on a coordinate plane passes through (minus 1, 4), and (2, minus 2) which intercepts the axis at (0, 2), and (0, 1). Z. A. W B. X C. Z D. Y

Answers

Answer:

A , C , D  , i thinks it another one but ionk

Step-by-step explanation:

What is the solution to this equation? 2ln4+lnx=3ln2+ln(x+1)

Answers

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

Given equation:

[tex]2 \ln 4+\ln x=3 \ln 2+\ln(x+1)[/tex]

[tex]\textsf{Apply the power law}: \quad n \ln x = \ln x^n[/tex]

[tex]\implies \ln 4^2+\ln x=\ln 2^3+\ln(x+1)[/tex]

Simplify:

[tex]\implies \ln 16+\ln x=\ln 8+\ln(x+1)[/tex]

Subtract ln 8 from both sides:

[tex]\implies \ln 16+\ln x- \ln 8=\ln(x+1)[/tex]

Subtract ln x from both sides:

[tex]\implies \ln 16-\ln 8=\ln(x+1)-\ln x[/tex]

[tex]\textsf{Apply the quotient law}: \quad \ln x - \ln y = \ln \frac{x}{y}[/tex]

[tex]\implies \ln \left\dfrac{16}{8}\right = \ln \left(\dfrac{x+1}{x}\right)[/tex]

Simplify:

[tex]\implies \ln 2 = \ln \left(\dfrac{x+1}{x}\right)[/tex]

[tex]\textsf{Apply the equality law}: \quad \textsf{if }\: \ln x= \ln y\:\textsf{ then }\:x=y[/tex]

[tex]\implies 2=\dfrac{x+1}{x}[/tex]

Multiply both sides by x:

[tex]\implies 2x=x+1[/tex]

Subtract x from both sides:

[tex]\implies x=1[/tex]

which relation describes the graph?

Answers

Answer:

A.

Step-by-step explanation:

The other graphs answers have a point at (3, 1) which is not on the graph.

If f(n)= n²-n, then f(-4) is
O-20
12
-12
20

Answers

Answer: 20

Step-by-step explanation:

f(-4) = -4² - (-4)

f(-4) = 16 + 4

f(-4) = 20

Tim earns 96pounds for 16 hours. Tim earns 'time and a half' for overtime. he works 4 hours of overtime in addition to his normal 16 hours. how much does he earn altogether​

Answers

find hourly rate:

96 / 16 = 6 pounds per hour

6 x 1.5 = 9 pounds per hour for overtime.

9 x 4 = 36 pounds


96 + 36 = 132 pounds total

132

196/16 = 6 per hr
overtime = 6*1.5=9
96 + (9*4) = 132

Question 2 of 11
What system of equations would you use to solve the problem below?
A test is worth 100 points. Multiple-choice questions are worth 3 points and
short-answer questions are worth 5 points. If the test has 28 questions, how
many multiple-choice questions are there?

Answers

If the number of multiple-choice questions is x and the number of short answer questions is y, then:

[tex]x+y=28\\\\3x+5y=100[/tex]

A car travels at 80 km an hour. How far will it travel in 2 1/2 hours?​

Answers

200 km
or if it’s miles it’d be approximately 124 miles, or 124.3008079552517 miles

Katie divided a drink with a volume
of 3½ cups into ½ cup servings.
How many servings did she have?

Answers

Answer:

Step-by-step explanation:

she has 7 servings. Add 1/2 + 1/2 until you get 3 1/2 and it equals 7

Briana monitors the number of E. coli infections reported in a certain
neighborhood in a given week. The recent numbers are shown in
this table:

According to her reports, the reported infections are growing at a
rate of 50%.

If the number of infections continues to grow exponentially,what
will the number of infections be in week 6?

Answers

An equation is formed of two equal expressions. The number of infections in 6 weeks is 456.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.


The general equation of an exponential function is written as,

y = A(B)ˣ

Since the infection is increasing at a rate of 50%, therefore, the rate of growth will be,

B = 1.50

Substitute any value then we will get,

40 = A(1.50)⁰

A = 40

Thus, the exponential equation of the growth will be,

y = 40(1.50)ˣ

Now, the number of infections in 6 weeks will be,

y = 40(1.50)⁶

y = 455.625 ≈ 456

Hence, the number of infections in 6 weeks is 456.

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Need help please answer!!!

Answers

It can be modeled by an exponential function because each time x increases by 1, f(x) is multiplied by 4.

This means the base of the exponential function is 4, and since f(x)=3 when x=0, [tex]f(x)=3(4)^{x}[/tex]

A pattern has 38 black squares to every 24 red squares. What is the ratio of black squares to red squares?

Answers

Step-by-step explanation:

the answer is 38/24 so the final answer is 19/12

What is the surface area of the figure? 9 ft 9 ft 15 ft 15 ft 4 ft

Answers

The surface area of the given composite figure is; 528 ft²

How to find the area of a composite figure?

To get the surface area of the attached composite shape, we will have to break the object down into smaller shapes to get;

Surface area 1 = 2(15 * 4) = 120 ft²

Surface area 2 = 2(9 * 4) = 72 ft²

Surface area 3 = 2(6 * 4) = 48 ft²

Surface area 4 = 2((15 * 15) - (9 * 9)) = 288 ft²

Thus;

Total surface area = 120 + 72 + 48 + 288

Total surface area = 528 ft²

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Please help it is 10th grade Equations of lines and circles 7. Michael is hanging out in the park and needs to keep his so
a. If Michael is standing at the coordinate (5, 2), and each unit represents a foot, what
equation could be used to show the proper social distance needed?
-6-5 -3-2
12 3456
b. If Jake is standing on the coordinate (1, 1), are the two friends properly distanced?
2
45

Answers

Step-by-step explanation:

1) the required equation in common form is:

(x-x₀)²+(y-y₀)²=r², where (x₀;y₀) - coordinates, where Michael is standing; r - the social distance;

According to the common form and given coordinates (x₀=-5; y₀=2; r=6) it is possible to make up the required equation:

(x+5)²+(y-2)²=6².

2) if the distance between two friends is:

[tex]d=\sqrt{(-5-1)^2+(2-1)^2}=\sqrt{37}, \ then[/tex]

this distance is longer than social (6 ft). For more info see the attachment.

Find the value below using your calculator. Round to the nearest hundredth. e³ Find the value below using your calculator . Round to the nearest hundredth . e³​

Answers

The value of e³ = 20.079.

What is Euler's number , e ?

e is an irrational number , It is a numerical constant used in mathematical constant .

The value of e = 2.718

It is asked in the question to determine the value of e³

Therefore

e³ = ( 2.718)³

e³ = 20.079

Therefore the value of e³ = 20.079.

The image of the calculation is attached with the answer.

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Pls help why did she flip the sign i dont understand

Answers

Answer:

See below

Step-by-step explanation:

When you multiply or divide both sides of an inquality equation by a NEGATIVE number , it reverses the symbol to see this in action:

- 4n >36       Instead of dividing by -4   let's ADD - 4n to both sides

0 > 36 + 4n    now SUBTRACT 36 from both sides

-36 > 4n       re-arrange just a little

4n < -36       <======== see how the symbol has reversed ???

n < -9        

Hii!

___________________________________________________________

Answer:

'Cause both sides were divided by a negative number! ^^

Step-by-step explanation:

The sign of the inequality was flipped because you divided both sides of the inequality by -4, which is a negative number.

When we divide, or multiply, both sides of an inequality by a negative number, we flip the inequality sign.

--

Hope that this helped! Best wishes.

--

Find two functions f(x) and g(x) such that h(x) = ( f∘ g)(x) , if h(x) = √ + 5

f(x) = ____________________

g(x) = ____________________

Answers

If we know that h(x) = (f ° g) (x) = √x + 5, then f(x) = x + 5 and g(x) = √x by applying the binary operation of composition between two functions.

How to find the two functions behind a composed function

Let be f and g two functions, h is a composition of f with respect to g when the input variable of f is equal to g.  The composed function is h(x) = √x + 5 and there may be more than a solution. One of these solutions are f(x) = x + 5 and g(x) = √x.

If we know that h(x) = (f ° g) (x) = √x + 5, then f(x) = x + 5 and g(x) = √x by applying the binary operation of composition between two functions.

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42+48/6=?
48/6 meaning a fraction not division

Answers

Answer:

50

Step-by-step explanation:

Fractions are division problems. :) You have to complete that first to solve the equation (PEMDAS).

48/6 = 8

42 + 8 = 50

pls someone help me asap

Answers

Answer:

Area: 15.53 square inches

Perimeter: 15.71 inches

Step-by-step explanation:

Area:

So the area of the rectangle is pretty easy to find and is just the width * height. In this case it's 4 * 3 which is 12. Now the area of a circle is [tex]\pi r^2[/tex]. But since this is a semi circle it's half of that which is [tex]\frac{\pi r^2}{2}[/tex]. The diameter of the semicircle is 3 as it sits on top of the rectangle. The radius is half of the diameter so the radius is 1.5. Now plug that into the equation and you get [tex]\frac{(3.14) (1.5)^2}{2} = 3.5325[/tex]. Now add that to 12 and you get 15.5325. Round that number to the nearest hundredth and you get 15.53. So that's the area.

Perimeter:

Pi is the ratio of any circle's circumference to the diameter. Or in other words the circumference is equal to the diameter * 3.14. The diameter is 3 which you multiply by 3.14 to get the circumference of a circle. This will get you 9.42 but since it's a semicircle, the circumference is half of this value which is 4.71. The perimeter of the rectangle is just 2 times the width + 2 times the height. This is not completely the case in this shape since one of the sides of the rectangle is not a side of the two shapes joined together. Which is the side that is parallel to the side of length 3 inches. So the perimeter is going to be 2(4) + 3. This gives you 11 which you add to the 4.71 and get 15.71

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What would happenif you went to the Moon?OA. Your mass would decrease.OB. Your weight would increase.OC. Your mass would increase.OD. Your weight would decrease.SUBMIT find the perimeter. What are the parts of speech? How many are these? Write about each part in detail. what is the equation of the following line? be sure to scroll down first to see all the answer options Simplify completely.3 189x5y7/7xy3 A . Choose the correct option. 1. Vaccine for smallpox is discovered by a) Louis Pasteur b) Alexander Fleming c) Edward Jenner d) John Mendal 2. Mushroom belongs to a) Algae b) Virus c) Fungi d) None of these 3. Malaria is caused by a) Protozoa b) Virus c) Algae d) Bacteria 4. Microorganisms are a) Unicellular b) Multi-cellular c) Both d) None of these 5. Penicillium is a a) Algae b) Fungus c) Bacteria d) Yeast 6. Rhizobium bacteria a) Help in digestion b) Help in nitrogen fixation c) Cause diseases d) All of the above 7. In order to take precautionary steps to control dengue, we must take measures to stop the breeding of a) Aedes mosquito b) Fleas c) Fire ants d) Anopheles mosquito 8. The bacterium present in curd is a) Aspergillus b) Lactobacillus c) Penicillin d) Vibrio cholera 9. While baking cakes, yeast reproduces rapidly and produces ___ gas. a) Hydrogen b) Oxygen c) Carbon dioxide d) NitrogenWhich among the following statements is not associated with food preservation? a) Prevention of decay or spoilage b) Decreased shelf life c) Air-tight sealing d) Storage for future use Cory drinks water from a bottle during a bike ride. The average amount of water, inounces, in his water bottle can be represented by the equation y = -8x+32, where y is the amount of water remaining after x hours. Based on the equation, what amount of water, in ounces, will remain in the bottle after Cory rides for 2 1/2 hours? which addresses represent valid local loopback addresses? check all that apply. What term describes the legal ways to use copyrighted material without permission? A certain aircraft can fly 1330 miles with the wind in 5 hours and travelthe same distance against the wind in 7 hours. What is the speed of thewind? How does Montaigne handlediffering views in theunderlined passage of Section2?A. He attempts to establish commonground with selfish people.B. He presents a logical argumentsupporting his stance about profit anddamage.C. He presents an emotional appeal to hisreaders to persuade them to agree with hisviews. You will need a fork, knife, and a spoon for the "predators" to "catch" the "prey". For the "prey" you will need three different objects (3 of each). Consider beans, uncooked pasta, or cotton balls.Answer the following questions.Which prey type do you think will avoid capture more often than the other prey types?Which predator do you think will succeed in capturing the most prey? Endosymbiosis is considereda(n)...A. state.B. experiment.C. law.D. theory. State five importance of socializat 1The consent form is signed by the participant but is missing the participant's initials in several places. Which strategy helps to prevent this from occurring in the future with other participants? A. Conduct consent interviews in a quiet, separate room with no distractions or interruptions. B. The person obtaining the participant's consent must be present when the form is signed. C. Create and use a checklist to ensure that every detail in the informed consent process is completed. D. All of the above. Students in a reading class have three options for their book project: making a brochure, writing a news article, or designing a computer presentation. from past years, the teacher has determined that 20% of students usually choose to make a brochure, 30% of students usually choose to write a news article, and the remaining students usually choose to design a computer presentation. if the teacher uses 20 colored chips in three different colors to model this situation, how many colored chips should she use to represent each book project option? making a brochure: blue chips writing a news article: yellow ships designing a computer presentation: red chips