Jason studied how quickly ants consume things. He counted the number of ants on a banana peel at the end of each minute for five minutes. His results formed the pattern below.

12, 19, 26, 33, 40

Let n represent the number of minutes since Jason began his study. Which expression could be used to predict the number of ants on the banana peel after n minutes?

5+7n
7+5n
12n
7n

Answers

Answer 1

The expression that could be used to predict the number of ants on the banana peel after n minutes is given as follows:

5 + 7n.

What is an arithmetic sequence?

An arithmetic sequence is a sequence of values in which the difference between consecutive terms is constant, being called common difference d.

The nth term of an arithmetic sequence is given by the explicit formula presented as follows:

[tex]a_n = a_1 + (n - 1)d[/tex]

In this problem, the difference between consecutive terms is of 7, meaning that it represents an arithmetic sequence with a common difference of 7.

The first term is of 12, hence we obtained the explicit formula as follows:

12 + 7(n - 1) = 12 + 7n - 7 = 5 + 7n.

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Related Questions

What is the function’s average rate of change from x=-1 to x=1

Answers

Answer:

The average rate of change of the function from x=-1 to x=1 is 6.

Step-by-step explanation:

The average rate of change of a function from x=-1 to x=1 is the change in the output of the function (y-value) divided by the change in the input of the function (x-value). In other words, it is the slope of the line connecting the two points (x=-1 and x=1).

Multiply. (4x-3) (2x − 6)
8
8x²-30x+18
6x² +18x - 9
6x²-30x + 18
08x²-18x + 18

Answers

Answer:

8x²-30x+18

Step-by-step explanation:

8x²-24x-6x+18

8x²-30x+18

Answer:

[tex]8x^{2} -30x+18[/tex]

Step-by-step explanation:

[tex]8x^{2} -24x-6x+18[/tex]

[tex]8x^{2} -30x+18[/tex]

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers

T.A. =

Answers

To clear all your answers and start over, click the trashcan icon. Remember to always be accurate, professional, and friendly in your responses.

To answer a student question on Brainly, first, carefully read the question and understand what is being asked. Then, click on an item from the list or group of pictures provided at the bottom of the problem. Hold down the mouse button and drag the item into the correct position in the answer box.

Release the mouse button when the item is placed. If you change your mind, drag the item to the trashcan. Simply click the garbage button to start anew after clearing all your answers. Always be sure to respond with accuracy, professionalism, and friendliness.

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abet level 4 Life orientation 2023 final​

Answers

The textbook includes it

4. The fence around a circular pool is 75 ft long.
Diameter:0ft
Radius:0ft
Is it radius diameter or circumference

Answers

The resultant values are as follows:

Radius = 11.94 ft; Diameter: 23.87 ft; Circumference = 75 ft

What is the circumference?

The circumference of a circle or ellipse in geometry is its perimeter.

That is, if the circle were opened up and straightened out to a line segment, the circumference would be the length of the arc.

The curve length around any closed figure is more often referred to as the perimeter.

The length of a circle's outline is referred to as its circumference, and the length of a form with straight sides is referred to as its perimeter.

So, since the fence around the circular pool is given, then it will also be the value of the circumference of the pool.

Circumference = 75 ft

Radius:

2πr = 75

r = 75/2π = 75/(2×3.14) ≈ 11.937

radius = 11.94 ft

Diameter:

2r = 2×11 ≈ 23.87 ft

Therefore, the resultant values are as follows:

Radius = 11.94 ft; Diameter: 23.87 ft; Circumference = 75 ft

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Complete question:

The fence around a circular pool is 75 ft long. Find: Radius, Diameter, and Circumference.

100 POINTS + BRAINLIEST!!

Answers

Answer:

The figure has an area of ​​70 cm² and is a trapezium

Step-by-step explanation:

The figure is a rectangular trapezoid, and this answers one question, the second question is the area, which we find by making the major base plus the minor base multiplied by the height and we divide everything by two, the two bases are the parallel ones (12 and 8) and the height is 7.

Then it is resolved with this expression

Area = [(12 + 8) ×  7] : 2

Area = (20 × 7) : 2

Area = 140 : 2

Area = 70 cm²

What is the likelihood
that all 21 students in a class share the same birthday? Explain.

Quick please!

Answers

Answer:

it is not likey bc inless the class have over 2 mil ppl in it itis doouptfull

Step-by-step explanation:

video
Let the region R be the area enclosed by the function f(x) = ln (x) + 1 and
g(x)=x-1. If the region R is the base of a solid such that each cross section
perpendicular to the a-axis is a semi-circle with diameters extending through the
region R, find the volume of the solid. You may use a calculator and round to the
nearest thousandth.

Answers

The volume of the solid is approximately 0.558 cubic units.

To find the volume of the solid, we need to integrate the area of the semi-circles along the a-axis.

We know that the diameter of each semi-circle is the distance between the functions f(x) and g(x), which is:

d(a) = f(a) - g(a) = ln(a) + 1 - (a-1) = ln(a) - a + 2

The radius of each semi-circle is half of the diameter, which is:

r(a) = (ln(a) - a + 2) / 2

The area of each semi-circle is π times the square of its radius, which is:

[tex]A(a) = πr(a)^2 = π/4 (ln(a) - a + 2)^2[/tex]

To find the volume of the solid, we integrate the area of each semi-circle along the a-axis, from a = e to a = 2:

V = ∫[e,2] A(a) da

V = ∫[e,2] π/4 [tex](ln(a) - a + 2)^2 da[/tex]

V ≈ 0.558 (rounded to the nearest thousandth)

Therefore, the volume of the solid is approximately 0.558 cubic units.

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Consider the table shown at left . What is the value of g( f ( -1) )

Answers

Answer:

4

Step-by-step explanation:

f(-1) = 2

g(2)= 4

i need help on part d.

Answers

Answer:

  d.  6 seconds

  e.  12 seconds

Step-by-step explanation:

Given that a projectile has an altitude of 320 feet at 2 seconds and 10 seconds after launch, you want to know the time to maximum height and the time the projectile lands on the ground.

d. Symmetry

The parabolic path is symmetrical about the vertical line through its vertex. So, the time at maximum height is the average of the two times at which the height is 320 ft:

  (2 s + 10 s)/2 = (12/2) s = 6 s

The projectile is at maximum height 6 seconds after launch.

e. Landing

The projectile is launched from ground level at t=0, so will reach ground level again an equal time after reaching maximum height.

  2 × (6 s) = 12 s

The projectile will land after 12 seconds.

work out the product of 1 and 3/3 and 1 and 2/6 give your answer in its simplest form ​

Answers

Answer:

To multiply 1 3/3 by 1 2/6, we can first convert these mixed numbers to improper fractions, then multiply them together, and finally simplify the result to its simplest form.

1 3/3 can be written as 4/3 (since 1 whole and 3/3 is equivalent to 4/3)

1 2/6 can be written as 8/6 (since 1 whole and 2/6 is equivalent to 8/6)

Now, we can multiply these two fractions together:

4/3 x 8/6 = (4 x 8) / (3 x 6) = 32/18

To simplify this fraction, we can divide the numerator and denominator by their greatest common factor, which is 2:

32/18 = (2 x 16) / (2 x 9) = 16/9

Therefore, the product of 1 3/3 and 1 2/6 is 16/9, or 1 and 7/9 in mixed number form, in its simplest form.

solve using the standard algorithm. check your quotient and remainder and by using multiplication and addition 93÷7​

Answers

In the standard algorithm

Reminder = 2

quotient  = 13

What does quotient in mathematics mean?

The number being divided is known as the dividend, in this case, 15. The number being divided is known as the divisor (in this case, 3). The remainder following division is the quotient.

                                When we divide two integers, the result is a quantity known as the quotient. As an example, since the division resulted in the number 2, the quotient in the equation 8 4 = 2 is 2.

= 93÷7​

Reminder = 2

quotient  = 13

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ALGEBRA HW!! I WILL GIVE BRAINLYEST

please answer both questions parts.

Answers

The table of original value and rounded values are

x        y

0.2    0

0.5     1

0.9     1

1.08    1

1.49     1

1.72     2

2.3      2

2.94    3

The graph is attached

How to make the graph

The graph is made in a cartesian coordinate by tracing the point of intersection of the two points

The table is represented as ordered pair as (original value, rounded value) for the given x and y values:

(0.2, 0), (0.5, 1), (0.9, 1), (1.08, 1), (1.49, 1), (1.72, 2), (2.3, 2), (2.94, 3)

The graph is a scattered plot and its attached

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What is the measure of ∠m

Answers

Answer:

26° 180 -81 - 73 = 26

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

triangle= 180

81 + 73 = 154

180 - 154= 26

HELPPP ASAP IM AWARDING 80 POINTS!!!!
A cylindrical candle has a radius of 4 cm and a height of 10.4 cm.

What is the exact surface area of this candle?


32.0π cm²


83.2π cm²


91.2π cm²


115.2π cm²

Answers

Answer:

D) 115.2π cm².

Step-by-step explanation:

The surface area of a cylinder can be calculated using the formula:

Surface Area = 2πr² + 2πrh

where r is the radius and h is the height of the cylinder.

In this case, r = 4 cm and h = 10.4 cm. Substituting these values in the formula, we get:

Surface Area = 2π(4)² + 2π(4)(10.4)

Surface Area = 2π(16) + 2π(41.6)

Surface Area = 32π + 83.2π

Surface Area = 115.2π

Therefore, the exact surface area of the candle is 115.2π cm².

The answer is (D) 115.2π cm².

Answer: The answer is D, 115.2π cm²

Step-by-step explanation: When we use the formula of 2πrh+2πr2=2·π·4·10.4+2·π·42 to get the surface area, which equals 361.91

We can divide this by pi to get 115.2π cm²

Hope this helped!

Help ASAP DUE IN 30 MINUTES ​

Answers

Answer:

53 in2 is the answer for this question

Answer:

53

Step-by-step explanation:

If you divide the figure into two parts by extending the 4 in side, you get a right triangle and a rectangle.

Area of rectangle:

6*8 = 48 in²

Area of triangle:

1/2*(13 - 8)*(6 - 4) = 1/2 times 5 times 2 = 5 in²

Total area is:

48 + 5 = 53 in²

hope this helps x

If you place a 26-foot ladder against the top of a building and the bottom of the ladder is 20 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot. help please now.

Answers

Answer: The building is approximately 16.6 feet tall.

Step-by-step explanation:

Use Pythagorean theorem (a²+b²=c²) to solve this.

We know that the ladder is 26 feet long so that would be our hypotenuse (c²). and the distance between the ladder and the building is 20 feet. So, this is the base. The remaining side is x.

Your equation would be: 20²+x²=26²

subtract 20² from 26² --> 276=x²

then take the square root --> 16.6=x

I need help on this

Answers

Answer:

first name is pentagon

second is decagon

third is heptagon

Step-by-step explanation:

first is irregular

second is regular

third is irregular

A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2,120 ft Determine the flag's width and length if the length is 400 ft greater than the width.

The flag's width is and the length is what?

PLEASE HURRY

Answers

Answer:

Step-by-step explanation:

Let's assume that the width of the flag is "w" ft.

According to the problem, the length of the flag is 400 ft greater than the width, which means it can be expressed as:

length = w + 400

Now, we know that the perimeter of the flag is 2,120ft. The perimeter of a rectangle is given by:

perimeter = 2(length + width)

Substituting the values, we get:

2120 = 2[(w+400) + w]

2120 = 2[2w + 400]

2120 = 4w + 800

4w = 1320

w = 330

Hence, the width of the flag is 330ft.

From our equation for the length, we have:

length = w + 400

length = 330 + 400

length = 730

Therefore, the length of the flag is 730ft.

Graph the function blue, green,red.

Answers

The graph of the functions are given as attached.

How do graphs help us to understand functions?

Graphs are visual representations of functions that provide valuable insights into their behavior. They allow us to see the relationship between the input and output of a function, and how it changes over time or across different values.

The relationship between the two functions is that they are reciprocals of each other. Specifically, f(x) = 2sin(2x) + 1 is the reciprocal of f(x) = 2csc(2x) + 1, since csc(2x) is the reciprocal of sin(2x). Therefore, they have the same shape, but their values are inverted. See the attached graph.

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What is an undefined slope

Answers

A line has an undefined slope when it is a vertical line. A vertical line has no horizontal distance to it which is needed to have a positive, negative, or zero slope.

Answer: The slope of a line can be positive, negative, zero, or undefined. A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).

Step-by-step explanation:

I hope it helped! :)

Angles M, N, and P are supplementary.



What is the measure of angle P?

60°

34°

45°

36°

Answers

Step-by-step explanation:

The measure of angle p is 60°

Que volumen debería tener un recipiente para introducir en el 205 kg de mercurio

Answers

the container needs to have a volume of  0.01514 cubic meters to hold 205 kg of mercury.

Define volume

Volume is the measure of the amount of three-dimensional space enclosed by an object or space. It is typically expressed in cubic units, such as cubic meters (m³) or cubic centimeters (cm³).

The density of mercury is approximately 13,534 kg/m³.

We can use the formula:

Volume = mass/density

To find the volume of mercury that has a mass of 205 kg:

Volume = 205 kg / 13,534 kg/m³

Volume ≈ 0.01514 m³

Therefore, the container needs to have a volume of approximately 0.01514 cubic meters to hold 205 kg of mercury.

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The complete question is:

What volume should a container have to hold 205 kg of mercury?

PLS HURRY I AM GIVING BRAINLIEST!!!
the question is in the photo!!

Answers

Jordan spend 25 minutes writing each dayNoHow much time does Jordan spend writing each dayFrom the question, we have the following parameters that can be used in our computation:D + W = 75W + 25 = DSo, we haveW + W + 25 = 75EvaluateW = 25This means that Jordan spends 25 minutes on writing is it possible?Based on the answer in (a), the truth statement is No

What’s the answer to this problem for factoring basic trinomials?
40-22 x +x²

Answers

(x-2)(x-20) is the factored form of the trinomial equation

Factoring trinomials

Given the quadratic equation below

x² - 22x + 40

To factorise this expression, we need to find two factors of 40 that add up to -22.

The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40.

To get a sum of -22, we can choose the factors -2 and -20.

Therefore, we can write:

x² - 22x + 40 = (x - 2)(x - 20)

Thus, the factored form of the expression 40-22x+x² is (x-2)(x-20).

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A certain triathlon consists of a ​2.6 mile ​swim, a ​110 mile bicycle​ ride, and a ​26.2mile run. At one​ point, a participant had completed as many miles as the number of miles left to complete. How many miles had he completed at that​ mark?

Answers

Answer:

Let x be the number of miles completed by the participant before the mark. Then, the total distance of the triathlon is:

2.6 + 110 + 26.2 = 138.8 miles

At the mark, the participant has completed x miles and has the remaining distance to complete, which is:

138.8 - x

According to the problem, x is equal to the remaining distance:

x = 138.8 - x

Solving for x, we get:

2x = 138.8

x = 69.4

Therefore, the participant had completed 69.4 miles at the mark.

Just curious to know

Answers

Therefore, if Jane had left a message on every call, you would have gotten 670 voicemails. The solution is 670.

what is percentage ?

Since "percent" is a slang term for "per hundred," when we discuss percentages, we are speaking to a fraction of a hundred. In a variety of contexts, including math, science, finance, and daily living, percentages are used. The percent sign (%) is commonly used to denote percentages. As an illustration, to determine what proportion of 50 apples are red, you would split the number of red apples by the total number of apples and multiply the result by 100.

given

If Jane had phoned 1,000 times and you had allowed 67% of those calls to go to voicemail, then 67% of those calls would have left voicemails for you.

You can multiply the overall number of calls by the proportion of calls that went to voicemail to determine how many voicemails you would have received:

1000 x 67% = 670

Therefore, if Jane had left a message on every call, you would have gotten 670 voicemails. The solution is 670.

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The complete question is :-  

Jane called one thousand times to tell you she's sorry. If you saw she was calling and let your phone go to voicemail 67% of the time, how many voicemails would you have received if she left one each time?

Possible Answers:

3,700

57,000

67

None of the given answers

670

Suppose P(E)=0.43. Find P (Ec)

Answers

The probability of the complementary event of E occurring is 0.57.

What is probability?

Probability is a branch of mathematics that deals with the study of random events or phenomena. It is a measure of the likelihood or chance of an event occurring, expressed as a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain to happen.

In probability theory, P(E) represents the probability of an event E occurring, while P(Ec) represents the probability of the complementary event of E occurring. The complementary event of E is the event that E does not occur. In other words, it consists of all outcomes that are not in E.

To find P(Ec), we can use the formula:

P(Ec) = 1 - P(E)

where 1 represents the total probability of all possible outcomes.

In this case, we are given that P(E) = 0.43. Substituting this value into the formula, we get:

P(Ec) = 1 - P(E)

P(Ec) = 1 - 0.43

P(Ec) = 0.57

Therefore, the probability of the complementary event of E occurring is 0.57.

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Based on historical data, an insurance company estimates that a particular customer has a 3.3% likelihood of having an accident in the next year, with the average insurance payout being $1500.

If the company charges this customer an annual premium of $120, what is the company's expected value of this insurance policy?

$

Answers

Based on this estimate, the insurance company's projected value of this probability insurance policy is negative, implying that the insurance company will lose money on this policy.

What is probability?

Probabilistic theory is a branch of mathematics that calculates the chance of an event or a claim being true. A risk is a number between 0 and 1, where 1 represents certainty and a probability of about 0 shows how likely an event appears to be to occur. Probability is a mathematical term for the likelihood that a certain event will occur. Probabilities can also be expressed as numbers ranging from 0 to 1, or as percentages ranging from 0% to 100%. The proportion of occurrences among equally likely choices that result in a certain event in compared to all possible outcomes.

The total of the potential payouts multiplied by the odds of each payout occurring equals the anticipated value of the insurance policy. In this scenario, the possible compensation is the $1500 insurance payout, and the likelihood of the client being involved in an accident is 3.3%, or 0.033.

Expected value = (Payout if event happens) x (Probability of event happening) - (Annual premium)

($1500) x (0.033) - ($120) = expected value

Value expected = $49.50 - $120

-$70.50 is the expected value.

Based on this estimate, the insurance company's projected value of this insurance policy is negative, implying that the insurance company will lose money on this policy.

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Find the matrix A such that
A

1 0

−1 3
=

−1 −3

1 6

Answers

A = [-4/3 -1/3; 10 10/3] is the matrix that fulfills the equation A × [1 0; -1 3] = [-1 -3; 1 6].

What in mathematics is a matrix?

Rows and sections of integers are arranged in a matrix. Learn about matrices' lengths and components as you begin your study of them. A rectangle matrix is a grouping of integers into rows as well as columns. The matrix A, for instance, has two rows along with three columns.

To find the matrix A, we need to solve the matrix equation:

A × [1 0; -1 3] = [-1 -3; 1 6]

We can do this by multiplying both sides by the inverse of [1 0; -1 3] on the left:

A × [1 0; -1 3] × [3 0; 1 1/3] = [-1 -3; 1 6] × [3 0; 1 1/3]

Simplifying the left-hand side using the associative and commutative properties of matrix multiplication, we get:

A × [3 0; -1 1] = [-3 -1; 10 3]

Now, we can solve for A by multiplying both sides by the inverse of [3 0; -1 1]:

A × [3 0; -1 1] × [1/3 0; 1/3 1] = [-3 -1; 10 3] × [1/3 0; 1/3 1]

Simplifying the left-hand side using the associative and commutative properties of matrix multiplication, we get:

A × [1 1/3; 0 1] = [-2/3 -1/3; 10/3 3]

Multiplying both sides by the inverse of [1 1/3; 0 1]:

A = [-2/3 -1/3; 10/3 3] × [1 1/3; 0 1]⁻¹

We can easily find the inverse of [1 1/3; 0 1]:

[1 1/3; 0 1]⁻¹ = [1 -1/3; 0 1]

So, substituting this into the equation for A, we get:

A = [-2/3 -1/3; 10/3 3] × [1 -1/3; 0 1]

Multiplying the matrices on the right-hand side, we get:

A = [-2/3 -1/3; 10/3 3] × [1 -1/3; 0 1] = [-4/3 -1/3; 10 10/3]

Therefore, the matrix A that satisfies the equation A × [1 0; -1 3] = [-1 -3; 1 6] is:

A = [-4/3 -1/3; 10 10/3]

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How does this use of surrealism contribute to Pi's emotional state? In your analysis, include the symbolism of the island, his blindness, and his encounter with the Frenchman. true or false a company must change their brand positioning when they introduce a new product. the method of arranging lesson material from the simple to complex, past to present, and known to unknown, is one that? Find the are 22ft 37ft 38. 09ft 109degrees 138degrees what conclusion would you draw if the number of bacterial colonies in figure 13.21 were the same on the control plate and the treatment plate? explain your reasoning. document design techniques to improve readability include . a. typefaces and fonts b. use of white space c. all of these choices what is the fourth step in the six step issue management process? issue evaluation and monitoring issue ranking and prioritization issue strategy issue analysis issue implementation issue identification find the value of x? you are counseling a patient who is to begin a course of tetracycline for the treatment of lyme disease. what instructions would be important to provide to this patient? Makers of generic drugs are required to show that their generic drugs do not differ significantly from the "reference" or brand name drugs that they imitate. One aspect in which the generic drugs might differ is their extent of absorption in the blood. Twelve subjects were available for the study. Six were randomly selected to receive the generic drug first and then, after a washout period, receive the "reference" drug. The remaining six received the "reference" drug first, followed by the generic drug after the washout period. Assume that all conditions are met. The mean of the differences was 1.33 and the standard deviation of those differences was 2.90. What is the test statistic for this procedure? a. 5.50 b. 2.35 c. 1.59 d. 1.90 this exercise stresses the relationships between the information recorded in a periodic inventory system and the basic elements of an income statement. each of the five lines represents a separate set of information. you are to fill in the missing amounts. (enter loss amounts as a negative number.) They deleted the question, but you can help me on this math. explain how schlosser develops that claim by using specific types of evidence. Then critique his claim and discuss which evidence most effective AYUDA :(siendo tg a =3 y a un ngulo del tercer cuadrante calcula sen2a n this problem you will study two cases of springs connected in series that will enable you to draw a general conclusion. what is the effective spring constant k of the two-spring system? express the effective spring constant in terms of k1 and k2 . has the desire, articulated by one of the speakers in the video, to trade future pain for present happiness ever caused you to do something unwise? something immoral? Create an Informational BrochureAssignmentIn this assignment, you will create an informational brochure that is appropriate for posting within an early child-care facility. Your brochure will contain information that is vital to creating a safe and healthy child-care environment. You may choose any of the topics discussed in this lecture, such as creating a safe environment, monitoring the health of children, or serving nutrition meals. Once you have chosen your topic, you will find online references that give specific advice. You may use the references in this lesson as a starting point for your online research. Once you have finished researching your topic, you will design an informational brochure that describes the applicable standards and protocols that should be followed in a child-care facility.To complete this assignment you will:Identify one area of child-care safety and health that you would like to further investigate.Find a minimum of three credible online sources that discuss your chosen topic.Design an informational brochure that is appropriate for use in an early child-care facility.List all references used in the assignment. two angles are supplementary. if one angle is two times the sum of other angle and 3, find the two angle Write the equation of the line that is parallel to y=- 3/2and passes throughpoint (2,3). the eruption of the first permanent molar and the completion of brain growth happen during which stage of development?