A clothing business finds there is a linear relationship between the number of shirts, n , it can sell and the price, p , it can charge per shirt. In particular, historical data shows that 1,000 shirts can be sold at a price of $30 , while 3,000 shirts can be sold at a price of $22 . Find a linear equation in the form p(n)=mn+b that gives the price p they can charge for n shirts.

Answers

Answer 1

The linear equation in the form p(n) = mn + b that gives the price p they can charge for n shirt is p(n) = - 1 / 250n + 34.

How to linear equation in slope intercept form?

Linear equation can be represented in slope intercept form as follows:

y = mx + b

where

m = slopeb = y-intercept

Therefore, the clothing business finds there is a linear relationship between the number of shirts, n,  it can sell and the price, p , it can charge per shirt.  1,000 shirts can be sold at a price of $30 , while 3,000 shirts can be sold at a price of $22 .

Therefore,

using  (1000, 30) and (3000, 22) let's find the slope.

m = 22 - 30 / 3000 - 1000

m = - 8 / 2000

m = - 1 / 250

Hence, let's find the y-intercept using (1000, 30)

p(n) = mn + b

where

p = pricen = number of shirt

Therefore,

30 = - 1 / 250 (1000) + b

30 = - 4 + b

b = 30 + 4

b = 34

Hence, the linear equation is p(n) = - 1 / 250n + 34

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Related Questions

Please answer for brainly and 5 star thanks

Answers

Using the graph given, the rate of change from hour 4 to hour 7 is: -20.

How to Find the Rate of Change of a Graph?

The rate of change of a relationship that is represented on a graph is determined using the formula below:

Rate of change = f(b) - f(a) / b - a.

Given the graph above, we are asked to find the rate of change between the interval x = 4 to x = 7:

a = 4

f(a) = f(4) = 120

b = 7

f(b) = f(7) = 60

Plug in the values:

Rate of change = f(b) - f(a) / b - a = (60 - 120) / (7 - 4)

= -60/3

Rate of change = -20.

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6,370 x 30 find the products
How do I show my thinking or ideas
Example
637•3 6370•30
=1911 =(6370•3)• (10•10)

Answers

Answer:

Product: 191,100

Step-by-step explanation:

Show your work:

(It should look something like this)

6370                                                                                                                              x   30

First: 0 x 0 = 0 (so you put):

6370                                                                                                                              x   30

      0

(everything else times 0 just equals 0 so you'd get this):

6370                                                                                                                              x   30

0000

Next: 3 x 0 = (so you put):

6370                                                                                                                              x   30

0000

    0

Next: 3 x 7 = 21 (so you put):

6370                                                                                                                              x   30

0000

  10

(carry the 2)

Next: 3 x 3 = 9 (so you put):

 2

6370                                                                                                                              x   30

0000

 1 10

(add the number you carried to 9: giving you 11 so you also have to carry a 1 again)

(the first number: 0 of 110 goes under the third 0 of 0000)

(the spacing is just to make sure that the placement is correct: the first 1: of 110 goes under the first 0 of 0000)

Next: 3 x 6 = 18 (so you put):

1 2

6370                                                                                                                              x   30

  0000

191 10

(you add the 1 that you carried to 18 to give you 19)

(again: I only moved the zeros over so that the placement is correct)

Next: Now you add(this is why the placement of the numbers is important):

1 2

6370                                                                                                                              x   30

     0000

+ 191 10

  191,100

(you will put imaginary zeros over 19 because you know that there is already nothing there. You will also add an imaginary zero under the last zero that is hanging there because you know there is nothing there either.)

(Hope this helps! I know its really confusing, if you have any further questions or if the way I explained confused you please tell me or ask me those questions.) :)

Write an equation of the line through (-4,0) and (6,-1). Write the equation in standard form.

Answers

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{-1}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-1}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{(-4)}}} \implies \cfrac{-1 -0}{6 +4} \implies \cfrac{ -1 }{ 10 } \implies - \cfrac{1 }{ 10}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{- \cfrac{1 }{ 10}}(x-\stackrel{x_1}{(-4)}) \implies y -0 = - \cfrac{1 }{ 10} ( x +4) \\\\\\ y=- \cfrac{1 }{ 10}(x+4)\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{10}}{10(y)=10\left( - \cfrac{1 }{ 10} ( x +4) \right)}\implies 10y=-(x+4) \\\\\\ 10y=-x-4\implies {\Large \begin{array}{llll} x+10y=-4 \end{array}}[/tex]

What is the perimeter of this triangle?

Answers

The triangle has a perimeter of 48 units.

How to determine the perimeter of a triangle

Triangles are figures with three sides, the perimeter is the sum of the lengths of the three sides. The length of each side is determined by Pythagorean theorem:

l = √(x² + y²)

Where:

l - Side lengthx - Horizontal length of the side.y - Vertical length of the side.

First, determine the horizontal and vertical length of each side:

Side 1

x = 18, y = 0

Sides 2, 3

x = 9, y = 12

Second, determine the side lengths:

Side 1:

l = 18

Sides 2, 3

l = √(9² + 12²)

l = 15

Third, calculate the perimeter of the triangle:

p = 18 + 15 + 15

p = 48

The perimeter of the triangle is equal to 48 units.

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Christopher has $780 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
He buys a new bicycle for $446.45.
He buys 2 bicycle reflectors for $16.82 each and a pair of bike gloves for $24.60.
He plans to spend some or all of the money he has left to buy new biking outfits for $43.70 each.

Write and solve an inequality which can be used to determine oo, the number of outfits Christopher can purchase while staying within his budget.

Answers

The required inequality for number of outfit is n ≤  6.3  and Christopher can purchase 6 biking outfits.

What is inequality?

Inequality shows relation between two expression which are not equal to each others.

Given that,

Maximum amount that Christopher can spend = $780.

The price of new bicycle = $446.45.

Also, Christopher buys 2 bicycle reflectors for $16.82 each.

And a pair of bike gloves for $24.60.

Let Christopher buys n outfits.

The price of 1 outfit is $43.70.

The price of n outfits = $43.70n

Since,  Price of 1 bicycle reflectors = $16.82

Price of 2 reflectors = $16.82 x 2 = $33.64

The inequality to determine the number of outfits can be written as,

43.70n + 446.45 + 24.60 + 33.64 ≤ 780.

43.70n + 504.69 ≤ 780.

43.70n ≤ 780 - 504.69

43.70n  ≤ 275.31

n ≤  6.3

The maximum number of outfit Christopher can purchase is 6.

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Jordan went swimming for 7/8 hour in the morning and 5/6 hour in the afternoon. What is the best estimate for the total time Jordan went swimming?

Answers

The total time for Jordan went swimming will be;

⇒ 41/24

What is Addition?

The process of combining two or more numbers is called the Addition.

Given that;

Jordan went swimming for 7/8 hour in the morning and 5/6 hour in the afternoon.

Now,

Since, Jordan went swimming for 7/8 hour in the morning and 5/6 hour in the afternoon.

Hence, The total time for Jordan went swimming will be;

⇒  7/8 + 5/6

⇒ (21 + 20) / 24

⇒ 41/24

Thus, The total time for Jordan went swimming will be;

⇒ 41/24

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What is the length of Line segment AC?

3 ft
4 ft
18 ft
12 ft

Answers

it’s either 18 or 12ft but i feel like 12ft I may be wrong might want to ask your math teacher

The sales tax rate on a new vehicke is 6.5 percent. If the vehicle is priced at 12,000, how much will you be charged for sales tax?

Answers

If sales tax rate on a new vehicle is 6.5 percent. If the vehicle is priced at 12,000, then 780 will be charged for sales tax

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given,

The sales tax rate on a new vehicle is 6.5 percent.

The price of the vehicle is 12000

We need to find the how much will you be charged for sales tax

Let us convert 6.5 percent to the decimal value by dividing it with 100

6.5/100×12000

0.065×12000

780

Hence, 780 will be charged  for sales tax.

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Consider a function f(x) = x^ 2.
A second function h(x) is the result of reflecting f(x) across the x-axis and translating it 3 units in the positive y-direction (upward). Write the equation of h(x).
Please Help will mark brainliest :)

Answers

Answer:

h(x) = - x² + 3

Step-by-step explanation:

Given f(x) reflected in the x- axis , then

h(x) = - x²

Given h(x) then h(x) + c is a vertical translation

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here h(x) is shifted 3 units up , then

h(x) = - x² + 3


i gotchu

Graph the solution to this inequality on the number line.

35z>34

Answers

Answer:

see the attached image.

Step-by-step explanation:

First, divide by 35 on both sides to isolate 1 multiple of z.

[tex]35z > 34\\\overline{\ 35\ } \ \ \ \: \overline{35}[/tex]

[tex]z > \dfrac{34}{35}[/tex]

See the attached image for a graph.

The values of z stop at an open circle at the point 34/35.

The temperature T°C of a cup a tea t minutes after being poured is modelled by the exponential decay function:
T=18+68e^-t/8, t>/= 0

a) What is the initial temperature of the tea the moment it was poured?

b) When will the temperature of the tea reach 35°C?

c) Explain why the tea will never reach an ambient temperature of 15°C.

Answers

Using the exponential function T = 18 + 68e^(-t/8), the initial temperature is 86°C, the time the temperature will reach 35°C is 11.1 minutes

Exponential Function

An exponential function is a mathematical function in the form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

An exponential function is defined by the formula f(x) = aˣ, where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.

The exponential function is an important mathematical function which is of the form f(x) = aˣ

In the question given, the exponential function given shows an exponential decay

T = 18 + 68e^(-t/8)

a) The initial temperature when the tea was poured would be (t = 0)

T = 18 + 68e^(-0/8)

T = 16 + 68 = 86°C

b) The temperature of the tea at 35°C

35 = 18 + 68e^(-t / 8)

T = 11.1

c) The reason why the the tea will never reach 15°C is because there's no solution for the expression.

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What 3 parts are needed to show a number in scientific notation?

1. A whole number and a decimal, a multiplication symbol, a power of 10

2. An exponent to the 2nd power, a multiplication symbol, a whole number from 1 to 10

3. A decimal or whole number, a multiplication symbol, a power of 10

4. A decimal between 1 and 10, a multiplication symbol, a power of 10​

Answers

2 I think…. Numbers in scientific notation are made up of three parts: coefficient, base and exponent.

3) A
a
Square with an area of 25m² and
perimeter of 20 is reflected across line
L, then translated 20m right, and then
rotated 20 degrees clockwise, what is
area and perimeter after these transformations?
the

Answers

Answer:

Area =25m²

Perimeter = 20m

Step-by-step explanation:

None of the transformations described change the size or shape of the original object, only position and orientation are changed

3 + 5 to the power of 2 - 6 • 4

Answers

Answer: The correct answer is 4

Step-by-step explanation:

You welcome have a great day

floor of a classroom is 38 feet in length and 34 feet in width. A scale drawing of the floor has a length of 19 inches.

Answers

Answer:

38 i think i hope this helps

Use the distributive property to simplify: 5(4x - 7)
Group of answer choices

20x-35

5x-5

35-20x

4x-35

Answers

Answer:

the answer is 20x -35

Step-by-step explanation:

5 x 4x = 20x

5 x -7 = -35

The answer options for exercise 5(4x-7) are:

A) 20x-35

B) 5x-5

C) 35-20x

D) 4x-35

To solve this exercise 5(4x-7), we organize the expression with the distributive law.

The distributive law is: a(b+c)=ab+ac.

5(4x - 7) = 5 × 4x - 5 × 720x - 35

Therefore, the correct option is alternative "A".

find the paramater 1/2x-7 x

Answers

Answer:

-13/2x

Step-by-step explanation:

1/2x +(−7x)

Combine Like Terms:

12x +(−7x)

(1/2x +−7x)

−13/2x

Given m || n, find the value of x.

Answers

Answer:

x=11°

Step-by-step explanation:

Because line t is 180°, (9x-5)°+(6x+20)°=180°

Simplify:

(9x-5)°+(6x+20)°=180°

9x-5+6x+20=180

15x-5+20=180

15x+15=180

15x=165

x=11

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Kylie makes $8.50 an hour at a local restaurant. Her paycheck shows she worked 20.88 hours last week. how much money did Kylie make?

Answers

If Kylie's hourly wage at a nearby restaurant is $8.50. She worked 20.88 hours last week, according to her paycheck. Kylie's salary is $177.48.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, Kylie makes $8.50 an hour at a local restaurant. Her paycheck shows she worked 20.88 hours last week.

We have to find the money did Kylie make,

We can utilize multiplication for a number of common tasks, such as figuring out how much it will cost to buy several identical things, calculating sales tax, and figuring out area and other geometric measurements.

Suppose the money did Kylie make is x,

x = 8.50 ×  20.88

x=$ 177.48

Thus, if Kylie's hourly wage at a nearby restaurant is $8.50. She worked 20.88 hours last week, according to her paycheck. Kylie's salary is $177.48.

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Point P was rotated about the origin (0, 0) by - 15°.

Answers

Answer:

the answer is d.

Step-by-step explanation:

find the greatest perfect square that is a factor of 495

Answers

Answer:

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, and 495 are the factors of 495. Additionally, the highest perfect square on this list is 9, and 3 is 9's square root. So, A is equal to 3.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The factors of 495 are:

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, and 495.

The greatest perfect square that is a factor of 495 is 9.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

495

The factors of 495 are:

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, and 495.

Now,

The perfect squares from the factors of 495 are 1 and 9.

9 is the greatest perfect square of 495.

Thus,

The greatest perfect square that is a factor of 495 is 9.

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Does the volume of a cone increase more when you double the height of the original or when you double its radius? Explain why.

Answers

The volume of a cone increase more when you double the height of the original or when you double its radius. This is true.

What is a cone?

A cone is a shape formed by connecting a common point, known as the apex or vertex, to all the points of a circular base with a set of line segments. The height of the cone is the distance from the vertex to the base.

A cone always contains a right angle. To solve for the volume of a cone, we need to get the radius of the cone and its height. radius is the line from the center of the circle of the cone going to the edge of the circle. height is the measurement of the cone from its pointy tip going downward.

The volume of a cone is 1/3πr²h, so if you double the radius the volume would quadruple. So, when the height is doubled, the volume is also doubled.

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(04.06A) Which of the following does not describe slope?

Answers

The option that doesn't describe slope is A. A line joining points.

What is a slope?

Slope is determined by dividing the vertical change by the horizontal change between two distinct points on a line.

It is defined as the difference in y coordinate divided by the difference in x coordinate between two distinct points on the line.

A line's slope is a number that describes both its direction and its steepness. Slope is a measure of change or a constant rate of change between two points.

As a result, from the options given, slope is not a line segment connecting two points, but rather the change in a line segment between two points.

It should be noted that the correct option is A.

The complete question is given below.

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Complete question

Which of the following does not describe slope?

A. A line joining points.

B. A constant rate of change

C. A proportional relationship

D. A measure of change

I need help with this ! Anything helps.

Answers

No.5
X=85

No.6
X=80

No.7
X=10

No.8
X=6

No.9
X= -9

No.10
X=29

No.11
X= -6

No.12
X= -7

Hope this helps

Which of the following choices is equivalent to the equation?

3(x−1) = 27


x – 1 = 9

x – 1 = 3

x – 1 = -3

Answers

Answer:

just finished a challenge

Step-by-step explanation:

There is a store that is having a 25% sale off of everything.Lin is buying a jacket that costs $40. What is the cost of the jacket after the discount?

Answers

Answer:

30

Step-by-step explanation:

Solve for m.

m+15<−123
Responses

m>−11315
m is greater than negative 1 and 13 over 15

m>−1715
m is greater than negative 1 and 7 over 15

m<−1715
m is less than negative 1 and 7 over 15

m<−11315
help

Answers

The solution to the value of m in the inequality m + 1/5 < - 1 2/3 is "m is less than negative 1 and 13 over 15".

The correct answer option is option D

How to solve inequality?

Inequality is a statement that is of two quantities I'm which one is specifically less than (or greater than) another. The symbols of inequality are;

Greater than >Less than <Equal to =Greater than or equal toLess than or equal to

m + 1/5 < - 1 2/3

substract 1/5 from both sides

m < -5/3 - 1/5

m < (-25-3) / 15

m < -28/15

Therefore, from the inequality m + 1/5 < - 1 2/3, m is less than negative 1 and 13 over 15.

Complete question:

m + 1/5 < -1 2/3

Responses

A. m > −1 13/15

m is greater than negative 1 and 13 over 15

B. m > −1 7/15

m is greater than negative 1 and 7 over 15

C. m < −1 7/15

m is less than negative 1 and 7 over 15

D. m < −1 13/15

m is less than negative 1 and 7 over 15

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Write three and seven eighths as an improper fraction and as a mixed number.
A 17/8, 3 7/8
B 31/8, 3 7/8
C 31/8, 7 3/8
D 59/8, 7 3/8

Answers

The answer is B because if u multiply 8•3 you get 24 + 7

Evie just had her birthday. she got a $30 gift card for dunkin donuts and she can’t spend more than $30. the small coffees cost $2 and the large cost $4. she wants to buy at least 10 coffees. how many coffees can she buy using only her gift card?

Answers

Answer:

Step-by-step explanation:

30 dollars to spend she wants to buy at least ten which mean's since 2 times 5 is 10 and 4 times 5 is 20 and 10 plus 20 equals thirty which means she can buy 5 small coffee's and 5 large coffee's

Since 2009 the number of smartphones shipped from manufacturers to stores around the world has increased exponentially. The growth from 2009 through 2015 can be modeled using the function G (t) = 174 . 1.67^t where t is the number of years singe 2009 and G (t) is measured in millions of smartphones.

Use this information and your knowledge of exponential and logistic growth to explore the mathematical concepts in the questions below.

Answers

The y-intercept indicates that 174 million smartphones were shipped to stores in 2009. This implies that after two years, in 2011, smartphone manufacturers shipped 500 million smartphones to stores worldwide.

Since 2009 the number of smartphones shipped from manufacturers to stores around the world has increased exponentially.

What is the exponential function?

The mathematical expression f(x)=exp or ex denotes the exponential function. The word, unless specifically stated differently, normally refers to the positive-valued function of a real variable, though it can be extended to the complex numbers or adapted to other mathematical objects like matrices or Lie algebras.

The growth from 2009 through 2015 can be modeled using the function G(t) = 174 * 1.67^t where t is the number of years since 2009 and G(t) is measured in millions of smartphones.

The required graph of the exponential function G(t) has been attached below

Now, finding the y-intercept

G(t) = 174· 1.67^t...(i)

Substitute the value of t = 0 in the above function,

G(t) = 174* 1.67⁰

G(t) = 174(1)

G(t) = 174

The meaning of the y-intercept is that 174 million smartphones are being shipped to stores in years 2009.

Substitute the value of G(t) =500 in the exponential function(i),

500 = 174 * 1.67^t

500/174 = 1.67^t

2.8735 = 1.67^t

In(2.8735 ) = t In (1.67)

t = In (2.8735 ) / In (1.67

t = 2.05827 ≈ 2

Hence, This means after 2 years i.e. in 2011, smartphone manufacturers were shipping 500 million smartphones to stores around the world.

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why did president Thomas Jefferson approve the negotiations that led to the Louisiana purchase?Answer choicesA. He wanted to settle boundary disputes with Great Britain.B. He wanted to take control of the Mississippi River.C. He wanted to obtain land to limit Russian colonization.D. He wanted to take control of the Appalachian Mountains. owners of a corporation who want to raise more capital by issuing new securities but who also want to retain control of their company could issue the nurse should explain to a 30-year-old primigravida client that alpha fetoprotein testing is recommended for which purpose? A metal cools from an initial temperature of 225 oc to 25 oc and releases 160 j of heat energy. If the mass of the metal is 5. 0 g, what is its specific heat capacity?. Assume that male and female births are equally likely and that the birth of any child does not affect the probability of the gender of any other children. Find the probability of exactly eight boys in ten births. if congress made the federal personal income tax system less progressive which would increase the mpc. t/f d. the beta of a portfolio of stocks is always smaller than the betas of any of the individual stocks. e. if you found a stock with a zero historical beta and held it as the only stock in your portfolio, you would by definition have a riskless portfolio. How was the new government of the United States similar to the government under British rule?A. The new government was a representative democracy.B. The new government gave power to one group of people.C. The new government was influenced by Enlightenment ideals.D. The new government was based on the idea of natural rights. Examine the decades 1970, 1990, and 2010 in thispopulation pyramid C for the United States. Consider anysignificant shapes. In particular, note the large bulge that travels upward through the pyramid over time. This bulgerepresents the baby boomer generation, a generation of Americans who were born in the United States immediatelyfollowing World War II (1939-1944). How do you think this generation has impacted the U.S. economy through theyears? How might it impact the U.S. economy and politics in the future? Does the color of a potion matter Mara lives in st. Louis, which is close to sea level. She decides to spend a month of her summer vacation working in the mountains outside of denver. After a week in the mountains, what kinds of changes would you expect to see as mara adapts to the higher altitude?. Please help I need it a single die is rolled twice. find the probability of getting a 3 the first time and a 3 the second time. Which of the following options describes the Setting Goals and Objectives step in the General-ized Model of Program Planning?a. Process of collecting and analyzing data to determine the health needs of the populationb. Identifies what will be accomplished through the intervention or programc. Putting intervention into actiond. Improving the quality and effectiveness of the program In the __________, if profits are not possible, the perfectly competitive firm will seek out the quantity of output where ___________.a)short run;fixed costs can be reducedb)long run; fixed costs can be eliminatedc)short run; losses are smallestd)long run; increasing production A model for circuits Part 1: Current and resistance C. Light a bulb using a battery and a single wire. Observe and record the behavior (ie., brightness) of the bulb when objects made out of various materials are inserted into the circuit. (Try materials such as paper, coins, pencil lead, eraser. your finger, etc.) What is similar about most of the objects that let the bulb light? when in the cell cycle are active cyclin d-cdk and cyclin e-cdk complexes required for the cell cycle to continue? Josephine loves music, is very friendly (even to total strangers), and displays deficits in general cognitive functioning and visual spatial skills. She most likely meets the criteria for fragile X syndrome.Indicate whether the statement is true or false Simplify the following by applying the laws of exponents. What are direct competitors?a) Other businesses that sell the same or similar products or services that a company sellsb) Other businesses that have the same or similar revenuec) Other businesses that sell products that are different from a business but are similar enough that their products could satisfy the same needd) Other businesses that have the same or similar investors