A regular pentagon is dilated by a scale factor of 73 to create a new pentagon. How does the perimeter of the new pentagon compare with the original perimeter?

Answers

Answer 1

Question:

A regular pentagon is dilated by a scale factor of 7/3 to create a new pentagon. How does the perimeter of the new pentagon compare with the original perimeter?

Answer:

The perimeter of the new pentagon is equal to [tex]\frac{7}{3}[/tex] times the perimeter of the original pentagon

Solution:

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let ,

z is the scale factor

x is the perimeter of the new pentagon

y is the perimeter of the original pentagon

Then,

Scale factor = ratio of perimeters

[tex]z=\frac{x}{y}[/tex]

In this problem we have

[tex]z=\frac{7}{3}[/tex]

Substituting we get,

[tex]\frac{7}{3} = \frac{x}{y}\\\\x = \frac{7}{3}y[/tex]

Which means,

[tex]perimeter\ of\ the\ new\ pentagon = \frac{7}{3} \times \text{ perimeter of the original pentagon}[/tex]

Therefore , the perimeter of the new pentagon is equal to [tex]\frac{7}{3}[/tex] times the perimeter of the original pentagon


Related Questions

A company rents bicycles for a few of $10 plus $4 per hour of use. Write an algebraic expression for the total cost in dollars for renting a bicycle for h hours.

Answers

Answer: Cost(c) t(time)

c=10+4t

Step-by-step explanation:

suppose that phil had decided to take out a private loan for $9,000 where loan payments start as soon as the loan amount is deposited in his student account and continue for 10 years.the interest rate is 8.1% what is the total amount he will pay back?

Answers

The total amount he will pay back=$16290

Step-by-step explanation:

Given, Phil had decided to take out a private loan for $9,000 where loan payment start as soon as the loan amount is deposited in his student account for 10 year. The interest rate is 8.1% .

P =$ 9,000   r = 8.1%   and t = 10 years

Simple interest

Interest(I)  [tex]= \frac{P\times r \times t}{100}[/tex]

                 [tex]=\$\frac{9000\times 8.1 \times 10}{100}[/tex]

                 [tex]=\$ 7290[/tex]

The total amount he will pay back =$(7290 + 9,000)=$16290

                   

Final answer:

To calculate the total amount Phil will pay back on a $9,000 private loan with 8.1% interest over 10 years, multiply the principal by (1 + interest rate) raised to the number of years. The total amount paid back is $17,925.56.

Explanation:

To calculate the total amount Phil will pay back, we need to calculate the loan payments for 10 years. First, we can calculate the annual payment using the formula:

Annual Payment = Principal x (1 + Interest Rate)^Number of Years

Substituting in the values Principal = $9,000, Interest Rate = 8.1% (or 0.081), and Number of Years = 10, we have:

Annual Payment = $9,000 x (1 + 0.081)^10 = $9,000 x 1.991729 = $17,925.56

Therefore, the total amount Phil will pay back over 10 years is $17,925.56.

Last year Luis read 187 books. This year he read 224 books. Next year he wants to read 285 books. If Luis reaches his goal , how many books will Luis have read

Answers

Luis will have read 696 books once he has reached his goal
187 + 224 + 285 = 696.
-
Luis would have read 696 books if he reaches his reading goal for the next year.

PLEASEEEE HELPPPPPPPPPPP

Answers

Answer:

The correct option is first graph.

Therefore,

The two points for the line y+5=-2(x-4) ( red color )line are

point A( x₁ , y₁) ≡ ( 0 , 3)  .......Blue color

point B( x₂ , y₂) ≡ [tex](\dfrac{3}{2},0)[/tex]  ............Green color

The Graph is attached below.

Step-by-step explanation:

Given:

[tex]y+5=-2(x-4)[/tex]

Which can also be written as

[tex]y=-2x+8-5\\y=-2x+3[/tex]     .....Equation of line

Let the points be point A, and point B  

To Find:

point A( x₁ , y₁) ≡ ?

point B( x₂ , y₂) ≡ ?

Solution:

For Drawing a graph we require minimum two points but we will have here three points.

For point A( x₁ , y₁)

Put x = 0 in the given equation we get

y = -2 × 0 +3

y =3

∴ y = 3

∴ point A( x₁ , y₁) ≡ ( 0 , 3)

For point B( x₂ , y₂)

Put y = 0 in the given equation we get

0 = -2x + 3

[tex]x=\dfrac{3}{2}[/tex]

∴ point B( x₂ , y₂)  ≡ [tex](\dfrac{3}{2},0)[/tex]

Therefore,

The two points for the line y+5=-2(x-4) ( red color )line are

point A( x₁ , y₁) ≡ ( 0 , 3)      .......Blue color

point B( x₂ , y₂) ≡ [tex](\dfrac{3}{2},0)[/tex]  ............Green color

The Graph is attached below.

Greatest Common Factor (GCF)
1. 12a - 27

Answers

Answer:

  3

Step-by-step explanation:

The factors of 12a are ...

  2×2×3×a

The factors of 27 are ...

  3×3×3

The only common factor is 3.

_____

  12a -27 = 3(4a -9)

Final answer:

The Greatest Common Factor (GCF) of the expression 12a - 27 is 3, since 3 is the highest number that divides evenly into both 12 and 27 with no common variables present.

Explanation:

To find the Greatest Common Factor (GCF) of the expression 12a - 27, you look for the highest number and any variables that divide evenly into both terms. Note that 12 and 27 can both be divided by 3. Therefore, 3 is a common factor. Since there are no more common variables or higher factors, the GCF of 12a and 27 is simply 3.

To calculate the GCF, divide each term by 3:

12a ÷ 3 = 4a

27 ÷ 3 = 9

While the expression is factored as 3(4a - 9), the GCF is just the number 3.

Donato is 6 feet 2 inches tall. His sister is 68 inches tall. Donato is how many inches taller.

Answers

Final answer:

After converting Donato's height to all inches (74 inches), we subtract his sister's height (68 inches) to find that Donato is 6 inches taller.

Explanation:

The question asks us to compare the heights of Donato and his sister to find out how much taller Donato is. First, we need to convert Donato's height from feet and inches to just inches. There are 12 inches in a foot, so Donato's height in inches is 6 feet  imes 12 inches/foot + 2 inches, which equals 74 inches. Donato's sister is 68 inches tall. To find the difference in height, we subtract the sister's height from Donato's: 74 inches - 68 inches = 6 inches. Therefore, Donato is 6 inches taller than his sister.

Fractions to percentage

Answers

Answer:

If u want to change fraction into percentage then multiply it with 100.for eg.83/90*100%

What is 4f - 24 + 4f = -8

Answers

Answer:

F = 2

Step-by-step explanation:

4f-24+4f=-8

collect like terms

8f-24=-8

move constant to the right

8f=-8+24

calculate

8f=16

divide both sides by 8

Answer F = 2

What’s the answer to sin 36/85

Answers

The answer to sin 37/85 is 0.423529411764706

(–5, –6) a solution to this system of e
quations? 12x − 8y = –12 7x − 6y = 1

Answers

Yes, (-5,-6) is a solution to the equations!

what things should be written in the conclusion of letter

Answers

Answer:

Your signature, and a nice 4-word goodbye

Step-by-step explanation:

Your signature so they know it was YOU who wrote it and a nice 4-word goodbye to show the other person that you care.

Dexter rode his bike 9/10 Miles from his house to the store then he rode 4/10 miles his uncle house use the benchmark to estimate how far he rode his bike altogether

Answers

Final answer:

Dexter rode an estimated 1.3 miles altogether after traveling 9/10 miles to the store and then 4/10 miles to his uncle's house.

Explanation:

You are asking how far Dexter rode his bike altogether after he traveled 9/10 miles from his house to the store and then 4/10 miles to his uncle's house. To estimate the total distance Dexter rode, we need to add the two distances together.

The sum of 9/10 miles and 4/10 miles is:

9/10 miles + 4/10 miles = 13/10 miles

To make it easier to understand, 13/10 miles can be converted to 1 3/10 miles, which is the same as 1.3 miles as an estimate, considering 10/10 equals 1 full mile. Therefore, Dexter rode an estimated 1.3 miles altogether.

Find the exact values below. If applicable, click on "Undefined".
cot 7pi/6

Answers

Answer:

√3

Step-by-step explanation:

We cannot solve this operation directly. Because cot7pi/6 is undefined.

We know that 1/tan= cot.

so we will first take the reciprocal of cot that is 1/tan.

So,

cot7pi/6= 1/tan 7π/6

∵7π/6 = 210 where pi=180

so cot7π/6  =1/tan210

cot7π/6 =1/1÷√3

cot7π/6 = √3

Select the appropriate terms from the drop down boxes below to correctly complete the statement.



The quadrilaterals are similar because quadrilateral FGHJ is the image of quadrilateral ABCD under a dilation with a center of

Answers

Answer: The quadrilaterals are similar because quadrilateral FGHJ is the image of quadrilateral ABCD under a dilation with a center of.....

all of it! it school! very inappropriate!

Step-by-step explanation: it looks like it's inappropriate

Answer:

all

Step-by-step explanation:

Use substitution to determine the solution of the system of equations.
y = −2x − 7
2y − x = 1

A. (−1,0)
B. (212,−28)
C. (−6,−52)
D. (−3,−1)

Answers

Answer:

Option D is correct

( -3, -1 )

Step-by-step explanation:

equation 1 is

y = -2x -7

and equation 2 is

2y - x = 1

so from 1 we have y = -2x - 7 put in 2

2 ( -2x - 7 ) -x = 1

-4x - 14 - x = 1

- 5x = 1 + 14

X = 15/-5

X= - 3

put in equation 1

Y = - 2 ( -3) - 7

Y= 6 - 7

Y = - 1

Solution of  the given equations D.[tex]\boldsymbol{(-3,-1)}[/tex].

An equation is a mathematical expression that contains an equals symbol.

Given equations are as follows:

       [tex]y=-2x-7[/tex]    

[tex]2y-x=1[/tex]

Put value of [tex]\boldsymbol{y}[/tex] from the first equation to the second equation.

[tex]2(-2x-7)-x=1[/tex]

   [tex]-4x-14-x=1[/tex]

                 [tex]-5x=15[/tex]

                     [tex]x=-3[/tex]

Now, put value of [tex]x[/tex] in the equation [tex]2y-x=1[/tex].

[tex]2y-(-3)=1[/tex]

           [tex]2y=-2[/tex]

             [tex]y=-1[/tex]

Option D. is correct.

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im lost >.< may i haz help?

Answers

Answer:

  see below

Step-by-step explanation:

A left-arrow on a number line represents subtraction of a positive number or addition of a negative number. The two left arrows, one of length 0.2, the other of length 0.1, indicate the numbers -0.2 and -0.1 are being added. The end result is the dot at the end of the combined arrows, at -0.3.

The only expression that is true and corresponds to this description is the one shown below.

Nancy opened a savings account 7 years ago. The account earns 5% interest, compounded quarterly. If the current balance is $1,000.00, how much did she deposit initially?

Answers

The amount deposited initially is $ 706.22

Solution:

The formula for amount using compound interest is given as:

[tex]A = p(1+\frac{r}{n})^{nt}[/tex]

Where,

A = the future value of the investment/loan, including interest

P = the principal investment amount (the initial deposit or loan amount)

r = the annual interest rate (decimal)

n = the number of times that interest is compounded per unit t

t = the time the money is invested or borrowed for

From given,

t = 7 years

A = 1000

P = ?

[tex]r = 5 \% = \frac{5}{100} = 0.05[/tex]

n = 4 (since compounded quarterly)

Substituting the values we get,

[tex]1000 = p(1+\frac{0.05}{4})^{4 \times 7}\\\\1000 = p(1+\frac{0.05}{4})^{28}\\\\1000 = p(1+0.0125)^{28}\\\\1000 = p(1.0125)^{28}\\\\1000 = p \times 1.4159923\\\\p = \frac{1000}{1.4159923}\\\\p = 706.2185 \approx 706.22[/tex]

Thus amount deposited initially is $ 706.22

Two arcs of concentric circles are intercepted by the same central angle. The resulting arc length of the arc of the smaller circle is 36 ft and radius is 30 ft. The radius of thr larger circle is 45 ft. Find tye length of the corresponding arc of the larger circle.

Answers

The length of the corresponding arc of the larger circle = 54 ft.

Step-by-step explanation:

step 1 :

"Concentric circles" have same center but different radius.So, the angle formed by the arcs of the two circles with same center will also be same.

step 2 :

Small circle :

Length of the arc = 36 ftRadius of the circle = 30 ft

Arc length = (∅/360)2πr

where,

∅ = arc angle

π = 3.14

r = radius of circle

step 3 :

Arc length = (∅/360)2[tex]\times[/tex]3.14[tex]\times[/tex]30

⇒ 36 = (∅/360)[tex]\times[/tex]188.4

⇒ ∅ = 36[tex]\times[/tex]360 / 188.4

∅ = 68.79

step 4 :

Large circle :

Radius of large circle = 45 ftThe arc angle, ∅ = 68.79

Arc length = (∅/360)2πr

                 = (68.79/360) 2[tex]\times[/tex]3.14[tex]\times[/tex]45

Arc length = 54 ft

.........................................................................................

Answers

Answer:

...................................../................................................................

Step-by-step explanation:

......................................................................................

3/8s of the students in Ms Mull’s class ride the bus. If there are 24 students in the class how many students ride the bus?

Answers

Answer:

9

Step-by-step explanation:

to work this out you would divide the class by the denominator and then multiply by the numerator.

24÷8=3

3×3=9

Select the correct graph of −4x + 3y = 6. (1 point)

Answers

Answer:

[tex]Line\ passing\ through\ (-1.5,0)\ and\ (0,2).\\\\Correct\ graph\ is\ attached.[/tex]

Step-by-step explanation:

[tex]The\ given\ equation\ represents\ a\ line\\\\[/tex]

y-intercept:

[tex]Substitute\ x=0\\\\-4\times 0+3y=6\\\\3y=6\\\\y=\frac{6}{3}\\\\y=2\\\\The\ line\ passes\ through\ the\ point\ (0,2).[/tex]

x-intercept:

[tex]Substitute\ y=0\\\\-4x+3\times 0=6\\\\-4x=6\\\\x=-\frac{6}{4}\\\\x=-1.5\\\\The\ line\ passes\ through\ the\ point\ (-1.5,0).[/tex]

The correct graph is attached.

Hadley has 3/6 of a box of white envelopes and 1/3 of a box of gray envelopes. When full, each box of envelopes has the same number of envelopes. Hadley said she has 4/9 of a box when she puts the white envelopes and gray envelopes together. Which statements describe this situation? Select the two statements that apply.

A. Hadley’s answer is incorrect, because 3/6 is equal to 1/2 , and 4/9 is less then 1/2 .

B. Hadley's answer is incorrect, because 3/6 plus 1/3 equals 5/6.

C. Hadley's answer is incorrect, because 3/6 plus 1/3 equals 2/6 .

D. Hadley's answer is correct, because 3 and 1 is 4, and 6 and 3 is 9.

PLS HELP I WILL MARK BRAINLIST IF CORRECT !! :) SELECT 2 ANSWERS !!

Answers

Answer:

The two statements that apply are A and B.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

White envelopes Hadley has = 3/6 of a box

Gray envelopes Hadley has = 1/3 of a box

When full, each box of envelopes has the same number of envelopes

Hadley said she has 4/9 of a box when she puts the white envelopes and gray envelopes together.

2. Which statements describe this situation? Select the two statements that apply.

Let's add 3/6 and 1/3

3/6 + 1/3 = 3/6 + 2/6 = 5/6

A. Hadley’s answer is incorrect, because 3/6 is equal to 1/2 , and 4/9 is less then 1/2 .   This is correct.

B. Hadley's answer is incorrect, because 3/6 plus 1/3 equals 5/6.   This is correct.

C. Hadley's answer is incorrect, because 3/6 plus 1/3 equals 2/6.  This is wrong

D. Hadley's answer is correct, because 3 and 1 is 4, and 6 and 3 is 9. This is wrong.

The two statements that apply are A and B.

Answer:  Answer:

The two statements that apply are A and B.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

White envelopes Hadley has = 3/6 of a box

Gray envelopes Hadley has = 1/3 of a box

When full, each box of envelopes has the same number of envelopes

Hadley said she has 4/9 of a box when she puts the white envelopes and gray envelopes together.

2. Which statements describe this situation? Select the two statements that apply.

Let's add 3/6 and 1/3

3/6 + 1/3 = 3/6 + 2/6 = 5/6

A. Hadley’s answer is incorrect, because 3/6 is equal to 1/2 , and 4/9 is less then 1/2 .   This is correct.

B. Hadley's answer is incorrect, because 3/6 plus 1/3 equals 5/6.   This is correct.

C. Hadley's answer is incorrect, because 3/6 plus 1/3 equals 2/6.  This is wrong

D. Hadley's answer is correct, because 3 and 1 is 4, and 6 and 3 is 9. This is wrong.

Step-by-step explanation: A   B

jamal ate 1/4 bag of peanuts. his 3 friends ate equal shares of the remaining peanuts. which expression represents the peanuts that each friend ate?

Answers

Answer:

4/4-1/4 is 3/4 so 3/4 divided by 3 is 1/4 bag of peanuts per friend.

Step-by-step explanation:

Final answer:

To find the expression that represents the peanuts that each friend ate, start with the fraction representing the remaining peanuts after Jamal ate 1/4 bag, which is 3/4. Divide the remaining peanuts equally among the 3 friends by dividing the fraction 3/4 by 3, which gives us 1/4. Therefore, each friend ate 1/4 of the peanuts.

Explanation:

To find the expression that represents the peanuts that each friend ate, we need to follow the steps:

Start with the fraction representing the remaining peanuts after Jamal ate 1/4 bag, which is 1 - 1/4 = 3/4.Divide the remaining peanuts equally among the 3 friends. This can be done by dividing the fraction 3/4 by 3, which gives us (3/4) / 3 = 1/4.

Therefore, the expression that represents the peanuts that each friend ate is 1/4.

write an equation of the line with a slope of 3 and a y-intercept of -3.

Answers

Answer:

solution is

y + 3 = 3(x - 0)

y + 3 = 3x - 0

y = 3x - 3

The area of a square garden is 98m squared. How long is the diagonal?

Answers

Answer:

diagonal is 14 m

Step-by-step explanation:

We are given;

The area of a square garden as 98 m²

We are required to determine the diagonal of the square.

We know that;

Area of a square = s²  , where s is the side of the square

Therefore;

s² = 98

Thus;

s = √98

To get the diagonal

s² + s² = diagonal squared

Hence;

Diagonal squared = (√98)² + (√98)²

                              = 98 + 98

                              = 196

Thus;

Diagonal = √196

               = 14 m

Thus, the diagonal is 14 m

Write an exponential function to model the following situation.
A population of 140,000 grows 5% per year for 16 years.
How much will the popluation be after 16 years?
Write an exponential function in terms of x.
y=
0
Write an exponential function in terms of x

Answers

Answer:

Part 1) The exponential function is  [tex]y=140,000(1.05)^x[/tex]

Part 2) [tex]305,602\ people[/tex]

Step-by-step explanation:

Part 1) Write an exponential function

we know that

The exponential growth function is given by the formula

[tex]y=a(1+r)^x[/tex]

where

y is the population

x is the number of years

a is the initial population

r is the rate of change

we have

[tex]a=140,000\ people\\r=5\%=5/100=0.05[/tex]

substitute

[tex]y=140,000(1+0.05)^x[/tex]

[tex]y=140,000(1.05)^x[/tex]

Part 2) How much will the population be after 16 years?

For x=16 years

substitute the value of x in the exponential function

[tex]y=140,000(1.05)^{16}=305,602\ people[/tex]

Final answer:

An exponential function to model the population growth of 5% per year from an initial population of 140,000 after 16 years is y = 140,000(1 + 0.05)^x. After substituting x with 16, you calculate the growth and multiply by the initial population to find the population size after 16 years.

Explanation:

To model the population growth in this scenario, we use an exponential growth function. The formula for exponential growth is y = P(1 + r)^t, where y is the final amount, P is the initial principal balance, r is the rate of interest, and t is the number of time periods the interest is applied. In this case, the population P is 140,000, the growth rate 'r' is 5% (or 0.05 when expressed as a decimal), and the number of years 't' is 16.

The exponential function in terms of 'x' (where 'x' represents the number of years) will be: y = 140,000(1 + 0.05)^x.

After plugging in 't' as 16 years, we calculate the population after 16 years as follows: y = 140,000(1 + 0.05)^16. Now we calculate the growth factor (1 + 0.05)^16 and multiply this by the initial population of 140,000 to determine the population after 16 years.

Un camión pesa 875 kg la diferencia entre el peso del camión vacío y el peso de la carga que lleve no debe ser inferior a 415 kg, si hay que cargar 4 cajas iguales cuanto puede pesar con lo máximo cada una de ellas para poder llevarlas en el camión? Ayuda por favor

Answers

Answer:

The weight of each box must be less than 115 kg to be carried in the truck.

Step-by-step explanation:

The weight of the truck is, T = 875 kg.

Let the weight of one box be x kg.

Given:

[tex]875-4x>415[/tex] kg.

Solve the above inequality for x as follows:

[tex]875-4x>415\\-4x>415-875\\-4x>-460\\x<\frac{-460}{-4}\\ x<115[/tex]

As the weight of a box cannot be less than 0, the range of x is (0, 115).

Thus, the weight of each box must be less than 115 kg to be carried in the truck.


J erk (denoted by J) can be defined as a function of acceleration (denoted by a) and time (denoted by t) using this formula: J= a/t

Acceleration is measured in m/s² and time is measured in s

Select an appropriate measurement unit for j erk.

Answers

Units of J: [tex][\frac{m}{s^3}][/tex]

Step-by-step explanation:

The quantity defined in this problem is

[tex]J=\frac{a}{t}[/tex]

where:

a is the acceleration

t is the time

The units of the two quantities are:

a (acceleration) is measured in metres per second squared, [tex][\frac{m}{s^2}][/tex]

t (time) is measured in seconds, [tex][s][/tex]

Therefore, the quantity J is measured in:

[tex][J]=\frac{[\frac{m}{s^2}]}{[s^3]}=[\frac{m}{s^3}][/tex]

which is option B.

Learn more about acceleration:

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which point is a solution to the equation Y = 4x - 5
A. (-3,-17) B. (4,7) C. -2,-18) D. (3,17)

Answers

Answer:

A

Step-by-step explanation:

To determine which point is a solution, substitute the x- coordinate into the equation and if the value obtained agrees with the y- coordinate of the point then it is a solution.

A (- 3, - 17)

y = 4(- 3) - 5 = - 12 - 5 = - 17 ← (- 3, - 17) is a solution

B (4, 7)

y = 4(4) - 5 = 16 - 5 = 11 ≠ 7 ← not a solution

C (- 2, - 18)

y = 4(- 2) - 5 = - 8 - 5 = - 13 ≠ - 18 ← not a solution

D (3, 17)

y = 4(3) - 5 = 12 - 5 = 7 ≠ 17 ← not a solution

What is 8/12 as a whole number & unit fraction

Answers

Answer:

1/4

Step-by-step explanation:

Final answer:

The fraction 8/12 simplifies to 2/3. The whole number is 0, and the unit fraction is 2/3, which can be expressed as the sum of two unit fractions, 1/2 and 1/6.

Explanation:

The fraction 8/12 can be simplified to a whole number and a unit fraction. First, divide both the numerator and denominator by their greatest common divisor, which is 4. This yields the simplified fraction 2/3. Thus, the whole number is '0' and the unit fraction is '2/3' as 2/3 is less than 1 and cannot be represented as a whole number. A unit fraction is a fraction where the numerator is '1'. Although 2/3 is not a unit fraction itself, it can be expressed as the sum of two unit fractions, '1/2 + 1/6'.

Learn more about Unit Fractions here:

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structural changes must an organization undertake to switch from a product to a customer orientation? What is a hypothesis?A. analysis based on an observation.B. a proposed answer to a question.C. a conclusion based on analysis.D. data gathering during an experiment. Write 2.14 in word form Gilbertos grandfather gives him $5 for his birthday and then $.50 for each math question he answers correctly on his math exams for the year. Write an equation that represents the amount of money that Gilberto receives during the school year. Explain what the variables and numbers mean. suppose you are performing an experiment in science class in which you start with 70 bacteria and the amount of bacteria triples every hour write a function to represent the growth of the bacteria overtime in your science experiment How did Eleanor Roosevelt transform the role of the First Lady of the United States?Group of answer choicesby becoming more active in addressing social issues than her predecessorsby using her position to amass considerable personal wealthby refusing to publicly support the policies of the president's administrationby running for political office while serving in the position A broker/dealer bought ABC stock at 8 for its inventory position. A month later when the inter-dealer market for ABC was 10.50 -- 11.25, the broker/dealer sold the stock to a customer. The basis for the dealer's markup will be:[A] 8.00[B] 8.75[C] 10.50[D] 11.25 You have decided to conduct an interview-based study on your campus that examines sexual assault with the hope of offering recommendations to the administration for policy changes. You have selected as your sample the members of all the campus fraternities, as this is a subpopulation of the entire campus and seems often to be at the center of the cases. Although this is an interesting approach, your results will likely be _______. What is the equation of the following line? Be sure to scroll down first to seeall answer options. What was the major cause of Shays's Rebellion?OA. Taxes required of poor farmersOB. The Treaty of Paris in 1787OC. New laws passed by BritainOD. Currency issued by CongressSUBMI Sarah qualified for her states gymnastics finals. She has decided to give up three hours of sleep each night so that she can fit more training in. She is also training on her rest days. What is the likely result? (Select all that apply.)A.She will build much stronger muscles.B.She will increase her risk for injuryC.The extra training will make her more likely to win.D.Her muscles will not recover well from workouts. There are two different alleles for flower color, P and p. The image shows a white sweet pea that is labeled with its two alleles for petal color.A white sweet pea is labeled p p.What can you surmise from the labeled image?A.The genotype is heterozygous.B.White petal color is a recessive trait.C.White petal color is a dominant trait.D.The phenotype is heterozygous. XYZ wishes to advertise a property that has been listed by John Smith, a salesperson who goes by the name of Jake. The salesperson wants his name to be included in the ads so the public can call him. What must be included in the ad? What was King David's most important achievement?1. He planned the the temple in Jerusalem2. He secured the borders of Israel3. He was a strong and wise king4. He made Jerusalem the capital of Israel twenty is 150% of what number Two cars entered an interstate highway at the same time at different locations and traveled in the same direction. The initial distance between the cars was 30 miles. The first car was going 70 miles per hour and the second was going 60 miles per hour. How long will it take for the first car to catch the second one? Many states have appointed or elected commissions that oversee the business practices of utilities and other industries that serve the public interest. For a company operating in one of these industries, dealing with this important state-level regulatory commission is an important element of the:A. legal environment.B. social environment.C. monopoly environment.D. technological environment.E. corporate environment. 3/3 as a whole number Choisissez le bon adjectif superlatif.Il y a seulement une salle de cinma ici ! Ce cinma est _______________ de Paris !le plus grandle meilleurle plus petit The enharmonic of Gb is :