A necklace contains twenty-four spherical beads of silver, each having a radius of 0.5cm. The beads are to be coated, and the cost of coating is $10 per cm2. What is the approximate total cost, to the nearest cent, for coating the beads?

Answers

Answer 1

Answer:

$153

Step-by-step explanation:

To find the total cost, we have to calculate the area of one bead, then all of them:

Area of one bead = pi x r^2 = 3.14 x 0.5^2 = 3.14 x 0.25 = 0.765cm^2

Area of 20 beads = 0.765 x 20 = 15.3cm^2

Now, we are able to calculate the ultimate cost of coating:

If the cost is $10 per cm^2, then we have to find how much it costs to coat 15.3 cm^2.

15.3 x 10 = $153.

Hope this helps


Related Questions

Blaine says that the product of a positive integer and a negative integer is always less than either factor. Is he correct? Provide examples or counterexamples to support your answer.​

Answers

Answer:

you go to th harris right cause u literally have the same summer schools answers

Step-by-step explanation:

Identify the property that justifies the following statement: I will make you a brainllest.

Answers

Answer:

reflexive property of simliarity

Step-by-step explanation:

A small grain silo is filled with wheat at the end of each season. If the silo is only half full, how many cubic meters of wheat have been stored? Group of answer choices 339.29 m³ 223.19 m³ 169.65 m³ 113.10 m³

Answers

Answer:

Volume of wheat = 147.26 m³ (check the explanation)

Step-by-step explanation:

The question still lacks some details such as the size of the silo. We will go forward by assuming the size of the silo to aid our calculation. Silos are cylindrical storage structures that range from 3 - 27 m in diameter and 10 - 90 m in height. For the purpose of this question, let's assume that the size of the silo is 5 m (diameter) by 15 m (height).

Let's list out the parameters to be used:

diameter (D) = 5 m; r = D ÷ 2 ⇒ r = 5/2 = 2.5 m,

height (h) = 15 m

Volume of silo = πr²h = π * 2.5² * 15

V (silo) = 294.52 m³

The silo is half full ⇒ ½ * V

Volume of wheat stored is given by half of the silo volume, since the silo is half-full

V (wheat) = ½ * 298.52

V (wheat) = 147.26 m³

The figure below shows a line graph and two shaded triangles that are similar:
-20-16-12-8-40
-1
4 8 12 16 20
Which statement about the slope of the line is true?
The slope from point o to point A is one-fourth times the slope of the line from point A to point B.
The slope from point o to point A is four times the slope of the line from point A to point B.
Olt is throughout the line
It is -4 throughout the line.

Answers

Answer:

It is - [tex]\frac{1}{4}[/tex] throughout the line

Step-by-step explanation:

The points O, A and B lie on the line and so the slope will be the same for OA, OB and AB

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = B(- 12, 3) and (x₂, y₂ ) = O(0, 0)

m = [tex]\frac{0-3}{0+12}[/tex] = [tex]\frac{-3}{12}[/tex] = - [tex]\frac{1}{4}[/tex]

Thus the slope is - [tex]\frac{1}{4}[/tex] throughout the line.

Gracie has 5555 pet bunnies that love to eat whole carrots. She has 39393939 carrots to feed the bunnies. Gracie will use as many carrots as she can and give each bunny the same number. How many carrots will each bunny get?

Answers

39393939/5555 = 7091.61 so each gets 7091 carrots.
There will be 3434 carrots left over

Answer:

7,091.61

Step-by-step explanation:

If you have a number 1. (39393939) and you have another number 2. (5555) and you want the second number to get the same amount as the other numbers but evenly, you need to divided the first number with the second number.

Ex. 39393939/ 5555 = 7,091.61

So each bunny will get 7,091.61 carrots.

Find the measure of angle C of a triangle ABC, if: d m∠A = 60°+α, m∠B = 60°−α???

Answers

Answer:

c= 60

Step-by-step explanation:

The value of measure of angle C of a triangle ABC is 60°.

Here,

Given that, in a triangle value of two angles is,

m∠A = 60°+α,  m∠B = 60°−α

We have to find the angle C of a triangle ABC.

What is sum of angle in triangle?

In a triangle, The sum of angles of a triangle is 180°.

Now,

Given that, in a triangle value of two angles is,

m∠A = 60°+α,  m∠B = 60°−α

Let measure of angle C is x°.

Sum of all angle of triangle = 180°

⇒( 60°+α )+ ( 60°−α ) + x° = 180°

⇒ 120° + x° = 180°

⇒ x° = 180° - 120°

⇒ x° = 60°

Hence, The value of measure of angle C of a triangle ABC is 60°.

Learn more about the angles in triangle visit:

https://brainly.in/question/20018759

#SPJ2

The population of China was about 1,360,000,000 people in 2014. Which number best approximates the population as a single digit times a power of 10?

Answers

Answer: 1 * 10^9

Step-by-step explanation:

1*10^9 = 1,000,000,000, which is the closest you can get.

Hope it helps <3

I'm struggling a lot please helpp :(

Answers

Answer: 180,000,000 people

Step-by-step explanation:

We are looking for how many people there are, not the percentage of wealth.

60% of Americans are the poorest, and there are 300 million Americans in total.

60% = 0.6

300,000,000 * 0.6 = 180,000,000

Answer:

The Third Choice; answer C.

Step-by-step explanation:

180,000,000 Hope this helps <3

AB is included between
A. BC and AC
B. AB and BC
C. ZB and ZC
D.A and B

Answers

Answer:

BC and AC are the answers

Prices for a day-ticket entrance at the Day-ticket Disneyland Paris Resort are as follows Pric Entrance Adult 205 $45 E170 Children Work out the percentage discount offered with the family ticket option. 2 adults, 2 children)

Answers

Answer:

15%

Step-by-step explanation:

Price of daily tickets entrance

Adult=£55

Children=£45

Family (2 adults and 2children)=£170(discount price)

Let

price for adults=a

Price for Children=c

Price of tickets without discount for 2 adults and 2 children=2(a+c)

=2(55+45)

=2(100)

=£200

Percentage discount offered with the family tickets=difference in price/original price×100

=£200-£170/200×100

=30/200×100

=30/2

=15%

The Percentage discount offered with the family tickets=15%

Which is a factor of: 2x^2+2x−12 ?

Answers

Answer:

(x - 2) and (x + 3) is a factor of: 2x² + 2x - 12

Step-by-step explanation:

2x² + 2x - 12 given equation

Now divide it by 2 we get,

x² + x - 6

then

x² + x - 6

x² + 3x - 2x - 6

x(x + 3) - 2(x + 3)

(x - 2) (x + 3)

Answer:

2 ( x+3)(x-2)

Step-by-step explanation:

2x^2+2x−12

Factor out 2

2 ( x^2 +x-6)

Factor inside the parentheses

What 2 numbers multiply to -6 and add to 1

3*-2 = -6

3+-2 =1

2 ( x+3)(x-2)

Jason is playing a game. He has two sets of cards. One set has three red cards, numbered 1, 2 and 3. The other set has four green cards, numbered 4, 5, 6 and 8. Jason chooses a red card and a green card at random. He works out his score by adding the numbers on the two cards together. A sample space diagram is drawn below. Work out the probability that Jason gets a score of 9 or more.

Answers

Answer:

1/3

Step-by-step explanation:

There are 12 different sums.

4 of the sums are 9, 9, 10, 11.

All other sums are 8 or less.

p(9 or more) = 4/12 = 1/3

Pls help me ima mark BRAINLIST

Answers

Answer:

24.5

Step-by-step explanation:

Year 2000 would be 1, so year 2016 would be 17

Your equation is 1.5x - 1, and since we have x = 17, we simply plug it in:

1.5(17) - 1

25.5 - 1

24.5 is our estimated population using the line of best fit.

Answer:

23

Step-by-step explanation:

Note that the horizontal axis notes the years since 2000. This means that each increase in the x axis increases the year by 1. Thus, it means that at x=1, it is 2001, at x=2, it is 2002. In other words, in 2016, x=16.

We can just put this number into the equation:

y=1.5(16)-1

y=24-1

y=23

i need help with this i dont understand at all. find the 1st, 2nd, 3rd, 4th and 10th nTh term rule is n+5

Answers

The rule is n + 5

So we have that

an = n + 5

Where n is the term, that said we want the 1st, 2nd, 3rd, 4th and 10th term

a1 = 1 + 5 = 6

a2 = 2 + 5 = 7

a3 = 3 + 5 = 8

a4 = 4 + 5 = 9

a10 = 10 + 5 = 15

Which shows the correct method for solving the equation below? One-third (y minus 9) = 3 A 2-column table with 3 rows. Column 1 is labeled Solution step with entries one-third y minus 3 = 3, one-third y = 6, y = 18. Column 2 is labeled property used with entries distributive property, addition property of equality, multiplication property of equality. A 2-column table with 3 rows. Column 1 is labeled Solution step with entries one-third y minus 27 = 3, one-third y = 30, y = 10. Column 2 is labeled property used with entries distributive property, subtraction property of equality, division property of equality. A 2-column table with 3 rows. Column 1 is labeled Solution step with entries one-third y minus 3 = 1, one-third y = 4, y = 12. Column 2 is labeled property used with entries distributive property, addition property of equality, division property of equality. A 2-column table with 3 rows. Column 1 is labeled Solution step with entries one-third y minus 3 = 3, one-third y = 0, y = 0. Column 2 is labeled property used with entries distributive property, subtraction property of equality, division property of equality.

Answers

Answer:

1st one 18

Step-by-step explanation:

you distribute the 1/3 then at 3 then multiply by 3

When I say multiply by 3 I mean 1/3=6 multiply both sides by 3

Answer:

Its A or 18

Step-by-step explanation:

thanks to the other guy

the magic dragon cigarette company claims that their cigarettes contain an average of only 10 mg of tar. a random sample of 100 magic dragon cigarettes shows the average tar content to be 11.5 mg with a known population standard deviation of 4.5 mg. construct a hypothesis test to determine whether the average tar content of magic dragon cigarettes exceeds 10 mg. use a 5% level of significance.

what is the critical value method and pvalue method

Answers

Answer:

[tex]t=\frac{11.5-10}{\frac{4.5}{\sqrt{100}}}=3.333[/tex]    

Critical value

The significance is 5% so then [tex]\alpha=0.05[/tex] and [tex]\alpha/2=0.025[/tex] then the critical value for this case would be [tex] z_{\alpha/2}= 1.64[/tex]. Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis and we can conclude that the true mean is higher than 10 mg

P value

The p value would be given

[tex]p_v =P(z>3.333)=0.000434[/tex]  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 10 mg

Step-by-step explanation:

Information given

[tex]\bar X=11.5[/tex] represent the sample mean

[tex]\sigma=4.5[/tex] represent the population standard deviation

[tex]n=100[/tex] sample size  

[tex]\mu_o =10[/tex] represent the value that we want to test

[tex]\alpha=0.05[/tex] represent the significance level for the hypothesis test.  

t would represent the statistic

[tex]p_v[/tex] represent the p value

Hypothesis to test

We want to test if the true mean is higher than 10mg, the system of hypothesis would be:  

Null hypothesis:[tex]\mu \leq 10[/tex]  

Alternative hypothesis:[tex]\mu > 10[/tex]  

the statistic for this case would be given by:

[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex]  (1)  

Replacing we got:

[tex]t=\frac{11.5-10}{\frac{4.5}{\sqrt{100}}}=3.333[/tex]    

Critical value

The significance is 5% so then [tex]\alpha=0.05[/tex] and [tex]\alpha/2=0.025[/tex] then the critical value for this case would be [tex] z_{\alpha/2}= 1.64[/tex]. Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis and we can conclude that the true mean is higher than 10 mg

P value

The p value would be given

[tex]p_v =P(z>3.333)=0.000434[/tex]  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 10 mg

Evaluate 3(4-2) what would be the answer to this

Answers

Answer:

6

Step-by-step explanation:

3(4 - 2)

Expand brackets.

3(4) + 3(-2)

12 + - 6

= 6

━━━━━━━☆☆━━━━━━━

▹ Answer

6

▹ Step-by-Step Explanation

Follow PEMDAS:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

3(4 - 2)

3(2)

= 6

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Ginny is studying a population of frogs. She determines that the population is decreasing at an average rate of 3% per year. When she began her study, the frog population was estimated at 1,200. Which function represents the frog population

Answers

Answer:

Step-by-step explanation:

This is exponential, of the form

[tex]y=a(b)^x[/tex] where a is the initial amount and b is the growth/decay rate. If Ginny begins the study with 1200 frogs in the population, our a value is 1200.

If the population is decreasing 3% per year, it is decreasing 100% - 3% = 97% which, as a decimal, is .97. Our exponential function, then, is

[tex]y=1200(.97)^x[/tex]

Simple question
please answer need asap

Answers

the answer is A. 1,073 ft

AC is tangent to circle o at point c. What is the length of AC? ___________ units. diagram below pls help

Answers

Answer:

AC = 4 units

Step-by-step explanation:

[tex] OB = OC = 3 (Radii \:of \:same \:circle) \\

OA = OB + AB = 3 + 2 = 5\\

OA \perp AC.. (tangent\: \perp radius) \\

\therefore m\angle OCA = 90\degree \\[/tex]

By Pythagorean theorem:

[tex] AC^2 = OA^2 - OC^2 \\

= 5^2 - 3^2 \\

= 25-9\\

= 16\\

AC =\pm \sqrt{16}\\

AC = \pm 4[/tex]

Since, side of a triangle can't be negative.

Therefore, AC = 4 units

what is the range of the function in this table?

Answers

Answer: A) 1, 2, 4

Step-by-step explanation:

The range of a function is every y value.

Answer:

A. {1, 2, 4}

Step-by-step explanation:

Well let’s take a step back,

What is range?

Range is the amount of y-value son a graph or table.

So the range is (1, 4, 2)

The point A is shown on the unit grid below.

Answers

Answer:

Coordinates of point B are (3, 5) and (5, 3).

Step-by-step explanation:

Coordinates of point A → (1, 1)

Let the coordinates of point B are (x', y')

Formula for the distance between points (x, y) and (x', y') is,

d = [tex]\sqrt{(x-x')^+(y-y')^2}[/tex]

AB = [tex]\sqrt{(x-1)^+(y-1)^2}[/tex]

[tex]2\sqrt{5}=\sqrt{(x-1)^2+(y-1)^2}[/tex]

[tex](2\sqrt{5})^2=(x-1)^2+(y-1)^2[/tex]

20 = (x - 1)² + (y - 1)²

Since point A lies on the intersection of two grid lines in the 1st quadrant, x and y must be the positive whole number.

For x = 0,

20 = (0 - 1)² + (y - 1)²

(y - 1)² = 20 - 1

y = 1 + √19

But y can't be a decimal, therefore, x = 0 is not the answer.

For x = 1

20 = (1 - 1)² + (y - 1)²

20 - 1 = (y - 1)²

y = 1 + √19

Not a whole number, so can't be the solution.

For x = 2,

20 = (2 - 1)² + (y - 1)²

y = 1 + √19

Not a whole number, therefore, not the answer.

For x = 3,

20 = (3 - 1)² + (y - 1)²

20 - 4 = (y - 1)²

y = 1 + √16

y = 5

Therefore, (3, 5) are coordinates of the point B.

For x = 4,

20 = (4 - 1)² + (y - 1)²

20 = 9 + (y - 1)²

y = 1 + √11

For x = 5,

20 = (5 - 1)² + (y - 1)²

20 - 16 = (y - 1)²

4 = (y - 1)²

y = 3

Therefore, (5, 3) the coordinates of point B.

The coordinates of [tex]B, (x,y)=(3,5)\text{ or }(5,3)[/tex]

From the diagram, the coordinates of [tex]A[/tex] are [tex](1,1)[/tex]

the distance from [tex]A[/tex] to [tex]B[/tex] is [tex]2\sqrt{5}[/tex]

Since [tex]B(x, y)[/tex] also lies on the grid, [tex]x[/tex] and [tex]y[/tex] should be integers and should satisfy the distance relationship

[tex](x-1)^2+(y-1)^2=(2\sqrt{5})^2\implies (x-1)^2+(y-1)^2=20[/tex]

There is a way to get [tex]\sqrt{5}[/tex] from Pythagoras rule

[tex]1^2+2^2=(\sqrt{5})^2\\\\\implies2^2+4^2=(2\sqrt{5})^2[/tex]

Which means we can either say

[tex]x-1=2 \text{ and } y-1=4\\\implies x=3 \text{ and } y=5\\\\\text{OR}\\\\x-1=4 \text{ and } y-1=2\\\implies x=5 \text{ and } y=3[/tex]

Therefore B is either at location [tex](3,5)[/tex] or [tex](5,3)[/tex]

Learn more coordinate geometry here: https://brainly.com/question/15503404

How many many weeks are in 105 days?​

Answers

Answer: 15 weeks

Step-by-step explanation:

Because there are 7 days in a week, simply divide 105/7 to get 15 weeks.

Hope it helps <3

Hi there! Hopefully this helps!

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

Answer: There are 15 weeks in 105 days.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Since there are 7 days in a week, we need to divide the time value by 7 .

Like this:

105 / 7 = 15.

Find the equation of a line through the coordinate (3,−2) and parallel to the line represented y=12x−2. A y=12x−2 B y=−2x+4 C y=12x−72 D y=12x−52

Answers

Answer:

Step-by-step explanation:

y=12x−2. parallel lines have the same slope 12

find b at point (3,-2)

y=12x+b

-2=12(3)+b

-2-36=b

b=-36

the equation has to be y=12x-38

when you input the point(3,-2)

-2=12(3)-38

-2=-2 correct

The equation of line is [tex]y=12x-38[/tex] which is parallel to given line [tex]y=12x-2[/tex]

Equation of parallel line given is, [tex]y=12x-2[/tex]

Compare above equation of line from [tex]y=mx+c[/tex]

Since, all parallel lines have same slope.

 Equation of line become,

                                             [tex]y=12x+c[/tex]

Since, line passing through point (3, -2).

               [tex]-2=12(3)+c\\\\c=-2-36=-38[/tex]

Hence, equation of line is [tex]y=12x-38[/tex] which is parallel to line [tex]y=12x-2[/tex]

Learn more:

https://brainly.com/question/12557573

So for math class they gave me this equation and it is 6 ÷ 3(1+2) it makes no sense, I just keep getting stumped

Answers

Answer:

The answer is 6.

Step-by-step explanation:

6 ÷ 3 = 2

2+4 = 6

What is the sign of the product (−4)(2)(−3)(6)? (5 points) Select one: a. Positive, because the products (−4)(2) and (−3)(6) are negative and the product of two negative numbers is positive b. Positive, because the products (−4)(2) and (−3)(6) are positive and the product of two positive numbers is positive c. Negative, because the products (−4)(2) and (−3)(6) are negative and the product of two negative numbers is negative d. Negative, because the products (−4)(2) and (−3)(6) are positive and the product of two positive numbers is negative

Answers

Answer: Option A

Step-by-step explanation:

Two Chords, Find X. Need help with this answer as soon as possible.

Answers

Answer:

77

Step-by-step explanation:

The measure of an angle formed by two chords that intersect inside a circle is equal to half the sum of the measures of the intercepted arcs.

(The sum of the measures of the intercepted arcs)/2

(76+78)/2

154/2

77

How is this wrong? Please explain to me.

Answers

Answer:

Wrong values are plotted in the question statement graph.

Please find correct graph.

Step-by-step explanation:

Given that:

[tex]y =x+3[/tex] and [tex]-1<x<5[/tex]

i.e. we can put a value of x in the equation which is greater than -1 and lesser than 5.

OR

we can say, the points where x = -1 and x = 5 will not be included in the graph (they will be shown as hollow circle).

Now, let us put the values one by one:

x = -1, y = -1 + 3 =2

x = 0, y = 0 + 3 = 3

x = 1, y = 1 + 3 = 4

x = 2, y = 2 + 3 = 5

x = 3, y = 3 + 3 = 6

x = 4, y = 4 + 3 = 7

x = 5, y = 5 + 3 = 8

Therefore, the table of values become:

[tex]\begin{center}\begin{tabular}{ c c } x & y\\ -1 & 2\\ 0 & 3 \\ 1 & 4 \\ 2 & 5 \\ 3 & 6 \\ 4 & 7 \\5 & 8\\\end{tabular}\end{center}[/tex]

Points (-1, 2) and (5, 8) will not be included in the graph.

Please find attached corrected graph.

1. What is the exact circumference of a circle that has a radius of 10 cm?

Answers

Answer:

62.8318531

10 x 2 = 20 so 20 is the diameter

20 x pi = 62.8318531

Hope this helps

Step-by-step explanation:

The exact circumference of a circle that has a radius of 10 cm is 62.8318531

What is the circumference of the circle?

The circumference of the circle that has a radius of r is defined as the product of diameter to the pie value.

The circumference of the circle = 2πr

Given that circle that has a radius of 10 cm

The circumference is given by

C = 2πr

  = 2π10

   = 20π

10 x 2 = 20

Therefore, 20 is the diameter

So, 20 x π = 62.8318531

Learn more about circumference here;

brainly.com/question/12512221

#SPJ6

2 5 ( 1 3 x− 15 8 )− 1 3 ( 1 2 − 2 3 x)

Answers

Answer:

If you were doing... 25(13x-15 8)-13(12-23x), the answer would be...

624x-3156

If you were doing... 25(13x-158)-13(12-23x), the answer would be...

624x-4106.

Step-by-step explanation: Simplify the expression.

I hope this helps you out! ☺

The simplification of algebraic expression 25(13x - 158) - 13(12 - 23x) is 624x - 4106.

An algebraic expression is an expression built up from constant, variables, and algebraic operations : addition, subtraction, multiplication, division and exponentiation.

To simplify an algebraic expression, we can only add or subtract the like terms. Like terms are variables with same exponent.

Given in the question,

algebraic expression = 25(13x - 158) - 13(12 - 23x)

Simplifying the expression,

[tex]= 25(13x - 158) - 13(12 - 23x)\\\\= 325 x - 3950 - 156 + 299x\\\\=325x + 299x - 3950 - 156\\\\= 624x - 4106[/tex]

Learn more about algebraic expression here

https://brainly.com/question/28884894

#SPJ2

Other Questions
what surprises scrooge at the homes of his nephew and bob cratchit What is the greatest common factor of the polynomial below 12x^2-9x What was the advantage of canals?O A. They connected the middle of the country with cities on thecoasts.B. They could only be built near the ocean and port cities.C. They allowed the government to give people jobs.D. They were usually short so they cost less and were easy to build. Inertia law what happens when You are standing on the bus and the bus stops abruptly: How can effectivr state laws best support a fair election process? A. State laws can ensure fair access for voters to registration and polling places B. State laws can prohibit political speech if it is considered controversial C. State laws can restrict voting if the government has a good reason D. State laws can benefit some people and hurt others to keep an election fair The World Issues club has decided to donate 60% of all their fundraising activities this year to Stephen LewisFoundation. This foundation was created to help ease the pain of HIV/AIDS in Africa Lewis, a Canadianworks for the United Nations trying to determine ways to stop the spread of this deadly disease from cripplingan entire continenta. Choose a variable to represent the money earned during fundraising activities and the revenue generatedfor the foundationb. Use these variables to create an equation that will determine the amount of money the foundation willreceivec. In their latest bake sale, the club raised $72. Calculate the amount the foundation will received. At the end of the year, the World Issues Club mailed a cheque to the foundation for $850. How muchmoney did they fundraise in total? For one month Siera calculated her home towns average high temperature in degrees Fahrenheit. She wants to convert that temperature from degrees Fahrenheit to degrees Celsius using the function C of F = five-ninths (F minus 32) . What does C(F) represent? What is the theoretical probability that a dice will land on the number six?A. 1/8B. 1/6C. 1/2D. None of the choices are correct What is the scale factor ?? What type of government does Savannah have?O a weak-mayor systemO a strong-mayor systemO a council-manager systemO a special-purpose system Which shape can be classified as a rectangle? Rhombus Square Trapezoid Parallelogram Melanie began studying a sample of the chemical element einsteinium-253 which naturally loses its mass over time. The relationship between the elapsed time, t, in days, since Melanie started studying the sample, and the total mass remaining in the sample, M(t), in micrograms, is modeled by the following function: M(t)=169(0.96)^t. How much percent does the chemical element lose weight by everyday? According to the chart, which class was made up of landowners? a. patricians c. Both patricians and plebeians b. plebeians d. None of the above Emily and George had a farm with a new barn.TrueFalse Which graph represents the function? someone please help After putting 5 gallons of gas into your car, the tank was full. If the tank holds 13 gallons, how much gas was in it before you filled it up? are the two triangles similar? how do you know Please answer this correctly A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus the diameter of the semicircle is equal to the width of the rectangle.) If the perimeter of the window is 30 ft, find the dimensions of the window so that the greatest possible amount of light is admitted. HELPPP!!! I will give Brainliest!!! super easy questionI have a question. If a question has the numbers 500kg and 3000N, how many significant digits should the answer have?