I heard you might have to increase your prices by 12% if i normally pay $45 per order, how much would my order be if the price increse happens?

Answers

Answer 1

The order will be $50.4 with the price increase

How much would the order be with the price increase?

From the question, we have the following parameters that can be used in our computation:

Order = $45

Percentage increase = 12%

Using the above as a guide, we have the following:

New order = Order * (1 + Percentage increase)

Substitute the known values in the above equation, so, we have the following representation

New order = 45* (1 + 12%)

Evaluate

New order = 50.4

Hence, the new order is $50.4

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Related Questions

please help me with this. I know the answer for the first one, but I'm just confused about the second one.​

Answers

Answer: 20

Step-by-step explanation:

because Juanita has a aquarium that is 5 feet LONG, 4 feet WIDE, and 2 feet DEEP, in part b it asks what if the water is 1 foot DEEP so what they're trying to say is what if you replace the original 2 feet DEEP with 1 foot DEEP?

so it would be length x width x depth

5x4x1=20

so the volume is 20ft^3

Find the missing side of the triangle 12, 34° and 90°

Answers

Answer:

To find the missing side of a right triangle given an angle and a side, you can use trigonometric functions. In this case, we have the angle opposite the missing side, so we can use the sine function.

The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse. Therefore, we can set up the following equation:

sin(34°) = opposite / 12

To solve for the opposite side, we can multiply both sides by 12:

opposite = 12 * sin(34°) ≈ 6.60

Therefore, the missing side of the triangle is approximately 6.60 units long.

Step-by-step explanation:

Approximate e^-0.11 to 4 decimal places

Answers

Answer: 0.8958

Step-by-step explanation:

I needed help with this one can some help me

Answers

A graph of quadrilateral M'N'O'P' after a vertical translation is shown below.

What is a translation?

In Mathematics and Geometry, the translation of a graph downward simply means subtracting a digit from the value on the y-coordinate (y-axis) of the pre-image.

By translating the pre-image of quadrilateral MNOP vertically downward 4 units, the coordinates of quadrilateral M'N'O'P' include the following:

(x, y)                               →                  (x, y - 4)

M (-2, 5)                        →                  (-2, 5 - 4) = M' (-2, 1).

N (-3, 2)                        →                  (-3, 2 - 4) = N' (-3, -2).

O (-5, 2)                        →                  (-5, 2 - 4) = O' (-5, -2).

P (-6, 5)                        →                  (-6, 5 - 4) = P' (-6, 1).

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During certain time periods at a​ hospital, patients arriving at the emergency room have waiting times that are uniformly distributed between 0 and 7 minutes. Assume that a patient is randomly​ selected, and find the probability that the waiting time is less than 0.75 minutes. (Round to three decimal places)

Answers

Since the waiting times are uniformly distributed between 0 and 7 minutes, the probability density function (PDF) of the waiting time is:

f(x) = 1/7 for 0 ≤ x ≤ 7

0 otherwise

To find the probability that the waiting time is less than 0.75 minutes, we need to integrate the PDF from 0 to 0.75:

P(X < 0.75) = ∫[0,0.75] f(x) dx

P(X < 0.75) = ∫[0,0.75] 1/7 dx

P(X < 0.75) = [1/7 * x] [0,0.75]

P(X < 0.75) = 1/7 * 0.75

P(X < 0.75) = 0.1071

Therefore, the probability that the waiting time is less than 0.75 minutes is 0.1071 (rounded to three decimal places).

solve the inequality and graph the solution on the line provided.
5x - 15 < 10

Answers

To solve the inequality 5x - 15 < 10, we can follow these steps:

Add 15 to both sides of the inequality to isolate the term with x:
5x - 15 + 15 < 10 + 15
5x < 25
Divide both sides of the inequality by 5 to solve for x:
5x/5 < 25/5
x < 5
Therefore, the solution for the inequality is x < 5.

To graph the solution on the number line, we can draw a line with an open circle at 5 (since the inequality is less than, not less than or equal to), and shade the part of the line to the left of the circle to represent all the values of x that satisfy the inequality. Here's a rough sketch:

<-------------------o------------------->
5
The shaded region is on the left side of the open circle.

Answer: x < 5, see attached for the graph.

Step-by-step explanation:

   To solve, we will isolate the variable.

Given:

  5x - 15 < 10

Add 15 to both sides of the equation:

  5x < 25

Divide both sides of the equation by 5:

  x < 5

  For the graph, we will use an open circle because this is only less than (<), not less than and equal to.

  Then, since x is all values less than 5, we will shade our arrow to the left of 5. See attached.

Muriel translated the phrase below into an algebraic expression and then evaluated it for n = 4.

the product of a number and 8

Which of the following contains the correct expression and value?

Answers

Answer:

[tex]8n=32[/tex]

Step-by-step explanation:

Muriel's algebraic expression for the phrase "the product of a number and 8" would be 8n, where n represents the number. When n = 4, the value of 8n would be 8 times 4, which is 32. Therefore, the correct expression and value is 8n = 32 when n = 4.

Answer:

8n=32

Step-by-step explanation:

got it right on homework

Find the missing exponent 82/256=3/4

Answers

The missing exponent of the expression is determined as 4.

What is the value of the missing exponent?

The value of the missing exponent is calculated as follows;

The given function is;

81/256 = (3/4)ˣ

To determine the value of the missing exponent, we will apply the power law of indicial equation as follows;

From base of the exponential function, we will determine the value of x;

3⁴/4⁴ = (3/4)x

(3/4)⁴ = (3/4)ˣ

4 = x

Thus, the missing value of the exponential function is determined by applying rules of exponent.

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The complete question is below:

Find the missing exponent 81/256 =  (3/4)ˣ

I need help with this pre calculus question , i understand how to find the period i just don’t understand this graph

Answers

The period of the function in the graph is 2π

What is period of a function?

Period represents the distance across horizontally located between successive duplicates of an equivalent outline within a graphed function.

In other words, we can say that period is the distance to complete an oscillation where this distance is counted in time. Hence period is measured is seconds

In the graph, the period can be calculated using the points

2π and 0 OR -π and π

These points shows a complete oscillation.

Using from 2π to 0

= 2π - 0

= 2π

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NEED ANSWER ASAP PLEASE

Answers

Answer:

second one

the y intercept is 8, the slope is -6/8, reduced -3/4

Step-by-step explanation:

equation if a line in slope intercept form is y=mx+

Brainliest and points if answered correct!!!!
The amount of laps remaining, y, in a swimmer's race after x minutes can be represented by the graph shown.


coordinate grid with the x axis labeled time in minutes and the y axis labeled number of laps remaining with a line from 0 comma 24 and 6 comma 0


Determine the slope of the line and explain its meaning in terms of the real-world scenario.


The slope of the line is 6, which means that the swimmer will finish the race after 6 minutes.

The slope of the line is 24, which means that the swimmer must complete 24 laps in the race.

The slope of the line is −4, which means that the swimmer will complete 4 laps every minute.

The slope of the line is negative one fourth, which means that the swimmer completes a lap in one fourth of a minute.

Answers

Answer:

since i don't see the graph ill go with... B The slope of the line is 24, which means that the swimmer must complete 24 laps in the race.

-24/6 = -4

Step-by-step explanation:

The slope of the line can be found using the formula:

slope = (change in y) / (change in x)

In this case, we can use the two given points on the line: (0, 24) and (6, 0).

Change in y = 0 - 24 = -24

Change in x = 6 - 0 = 6

Therefore, slope = -24/6 = -4

This means that for every minute that passes, the swimmer completes four laps. The swimmer's pace is steady and consistent throughout the race, gradually decreasing the number of laps remaining until they finish at 0 after six minutes.

Answer:

The slope of the line represents the rate of change in the number of laps remaining per unit of time (in this case, per minute). In other words, it tells us how quickly the swimmer is completing laps.

Since the slope of the line is -4, this means that the swimmer is completing 4 laps every minute. This could be interpreted as the swimmer's pace or speed in the race. The negative sign indicates that the number of laps remaining is decreasing over time, which is expected as the swimmer completes more and more laps.

It's worth noting that the slope is constant throughout the race, meaning that the swimmer is maintaining a consistent pace. This information could be useful for the swimmer and their coach in terms of planning and pacing the race.

1. Have you immersed yourself in an unfamiliar environment and if so, what feelings did
you experience-vulnerability, loneliness, uncertainty?
2. How will globalization change your organization's mix of customers and products? How
will you need to grow and adapt to lead in the future state of the organization?
3. How high is your GQ? What concrete actions can you take to raise it?

Answers

1. When people find themselves in an unfamiliar environment, it is common to feel vulnerable, lonely, and uncertain.

2. Globalization can change the mix of customers and products for an organization by creating new markets and opportunities for growth.

3. You can improve your GQ by practicing mindfulness and meditation

What are the feelings that you have?

Businesses may need to concentrate on creating new goods and services that appeal to a global market as well as modifying their business models to satisfy the needs of clients in various regions of the world if they want to be leaders in the organization's future state.

In order for them to be more adaptable and receptive to changes in the global marketplace, they might also need to invest in technology and tactics.

Globalization can significantly impact an organization's mix of customers and products. The organization must adapt to this by investing in research and development to create new products.

By applying mindfulness, the GQ can be adequately raised for the organization.

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A combined total of $33,000 is invested in two bonds that pay 5% and 6.5% simple interest. The annual interest is $2,010.00. How much is invested in each bond?

Answers

Answer: $9,000 is invested in the 5% bond, and $24,000 is invested in the 6.5% bond.

Step-by-step explanation: x + y = 33,000 (the full sum contributed)

We too know that the yearly intrigued earned is $2,010.00, which is the whole of the intrigued earned from each bond. Utilizing the equation for basic intrigued:

intrigued = principal x rate x time

ready to calculate the intrigued earned from each bond:

0.05x (for the 5% bond)

0.065y (for the 6.5% bond)

So we have another condition:

0.05x + 0.065y = 2,010

Presently we have two conditions with two factors, which we are able illuminate utilizing substitution or end.

Let's utilize substitution:

x + y = 33,000 --> y = 33,000 - x

0.05x + 0.065y = 2,010 --> 0.05x + 0.065(33,000 - x) = 2,010

Streamlining:

0.05x + 2,145 - 0.065x = 2,010

-0.015x = -135

x = 9,000

So the sum contributed within the 5% bond is $9,000, and the sum contributed within the 6.5% bond is:

y = 33,000 - x = 33,000 - 9,000 = $24,000

Can you help me answer this question?

How many different outfit combinations can San create with 3 shirts, 3 pants and 3 pairs of shoes.

Answers

27 outfits can be made
3x3x3=27

Katrina is building a wall around her backyard using bricks that are 18 inches long. The wall needs to be 36 feet, or 432 inches, long.

Answers

Katrina will need 24 bricks to build the wall around her backyard.

We have,

To determine the number of bricks needed for the wall, we need to divide the total length of the wall (432 inches) by the length of each brick (18 inches):

So,

Number of bricks = Total length of the wall / Length of each brick

Number of bricks = 432 inches / 18 inches

Number of bricks = 24 bricks

Therefore,

Katrina will need 24 bricks to build the wall around her backyard.

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The complete question:

Katrina is building a wall around her backyard using bricks that are 18 inches long. The wall needs to be 36 feet, or 432 inches, long.

Find the number of bricks needed to build around he backyard.

A bottle of water has a diameter of 3 inches and a height of 8 inches, and a mass of 1250 g. What is the volume and density?

Answers

The volume of the bottle is 56.52 cubic inches, and the density is 22.12 g/in³.

What is the volume and density of the bootle water?

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 ).

Density is expressed mathematically as;

p = m / v

Where m is mass and v is volume.

Given that:

Diameter = 3 in

Radius r = diameter/2 = 3/2 = 1.5 in

Height h = 8 in

Mass m = 1250 g

Find the volume:

V = π × r² × h

V = 3.14 × (1.5 in )² × 8in

V = 56.52 in³

Find the density:

p = m / v

p = 1250g / 56.52 in³

p = 22.12 g/in³

Therefore, the density is 22.12 g/in³.

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125-foot redwood tree is leaning 20° off vertical. How long will its shadow be when the angle the sunlight makes with the ground is 68°?

Answers

Answer:

To solve this problem, we can use trigonometry. Let's call the length of the shadow "s" and the height of the tree "h". Since the tree is leaning, we can't just use the height of the tree directly as one leg of a right triangle. Instead, let's draw a diagram of the situation and see if we can find a way to use trigonometry.

             |\

             | \

             |  \ h

             |20\

             |   \

             |    \

     ________|____\

            s

In this diagram, the angle between the ground and the sunlight is 68 degrees, and the angle between the tree and the ground is 70 degrees (since the tree is leaning 20 degrees off vertical). We can use the tangent function to relate these angles to the lengths of the sides of the triangle:

tan(68) = h / s

tan(70) = h / (s + 125)

We can solve for "h" in terms of "s" using the second equation:

h = (s + 125) * tan(70)

Then we can substitute this expression for "h" into the first equation and solve for "s":

tan(68) = [(s + 125) * tan(70)] / s

s * tan(68) = (s + 125) * tan(70)

s * tan(68) = s * tan(70) + 125 * tan(70)

s = 125 * tan(70) / [tan(68) - tan(70)]

s ≈ 318.8 ft

Therefore , the shadow will be approximately 318.8 feet long.

Step-by-step explanation:

Find the value of $x$ . Write your answer in simplest form. 9 squared 2

Answers

The value of the expression 9 squared will be 81.

How to explain the expression

In Mathematics, it is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information.

In this case, it is vital to note that they have at least two terms which have to be related by through an operator. Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc.

The value will be:

= 9²

= 9 × 9.

= 81

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Melissa drew a right triangle.
The perimeter of the triangle is 9+√41.
The hypotenuse is of length ✓41.
Using this information, what is the length of the other
two sides of the triangle?

Answers

Answer:

Let's denote the two legs of the right triangle as a and b, and the hypotenuse as c. We know that c = √41, so we can use the Pythagorean theorem to relate a and b to c:

c^2 = a^2 + b^2

Substituting c = √41, we get:

(√41)^2 = a^2 + b^2

41 = a^2 + b^2

We also know that the perimeter of the triangle is:

perimeter = a + b + c = 9 + √41

Substituting c = √41, we get:

a + b + √41 = 9 + √41

a + b = 9

Now we have two equations with two unknowns (a and b):

a^2 + b^2 = 41

a + b = 9

We can solve this system of equations by substitution. Solving the second equation for a, we get:

a = 9 - b

Substituting this into the first equation, we get:

(9 - b)^2 + b^2 = 41

81 - 18b + 2b^2 = 41

2b^2 - 18b + 40 = 0

b^2 - 9b + 20 = 0

(b - 4)(b - 5) = 0

So we have two possible solutions: b = 4 and b = 5. We can find the corresponding value of a using a = 9 - b:

a = 5 and b = 4 or a = 4 and b = 5

Therefore, the two legs of the right triangle are 4 and 5.

In circle N with � ∠ � � � = 12 4 ∘ m∠MNP=124 ∘ and � � = 13 MN=13, find the area of sector MNP. Round to the nearest hundredth.

Answers

If circle with center N with m∠MNP=124 ∘ and MN=13,  the area of sector MNP is approximately equal to 194.86 square units.

To find the area of a sector of a circle, we need to use the formula:

Area of sector = (central angle/360°) x πr²

Where r is the radius of the circle.

In this problem, we know that the central angle m∠MNP is 124° and MN, which is also the radius of the circle, is 13. So we can substitute these values into the formula:

Area of sector = (124/360) x π(13)²

Area of sector ≈ 194.86

Therefore, the area of sector MNP is approximately equal to 194.86 square units.

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A radioactive element has decayed to 1/32 of its original concentration in 10 yrs. What is the half-life of this element?

Answers

The half-life of this radioactive element is approximately 2 years.

We have,

The decay of a radioactive element follows an exponential decay model of the form:

[tex]N = N_0 e^{-kt}[/tex]

where:

N0 is the initial concentration of the radioactive element

N is the concentration after time t

k is the decay constant

We are given that the element has decayed to 1/32 of its original concentration, which means that its current concentration is 1/32 times its initial concentration:

N/N0 = 1/32

Taking the natural logarithm of both sides and rearranging, we get:

ln(N/N0) = ln(1/32) = -3.465

Now we can use the formula for half-life, which relates the decay constant to the half-life t1/2:

t1/2 = ln(2) / k

We can solve for the decay constant k by using the information that the element has decayed to 1/32 of its original concentration in 10 years:

ln(N/N0) = -kt

-3.465 = -k x 10

k = 0.3465

Substituting this value of k into the formula for half-life, we get:

t1/2 = ln(2) / k = ln(2) / 0.3465 = 2.0 x 10^0 years = 2 years.

Therefore,

The half-life of this radioactive element is approximately 2 years.

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Suppose log 2 = r, log, 3= s, and log 5 = t. Which algebraic expression represents log 75?

Answers

log(75) = log( 3 • 5 • 5 )

           = log(3) + log(5) + log (5)

           = s + t + t

           = s + 2t

To go from log( 3 • 5 • 5 ) to log(3) + log(5) + log (5), we use the log rule that says log( a • b ) = log(a) + log(b).

Find the volume of rectangular prism. (You should have at least 2 steps shows in your work!)(show all decimal places or a fraction)

Answers

Answer:

[tex]3 \frac{3}{4} \times 4 \frac{1}{2} \times 5 = \frac{15}{4} \times \frac{9}{2} \times 5 = \frac{675}{8} = 84\frac{3}{8} [/tex]

The volume is 84 3/8 cubic meters = 84.375 cubic meters.

Simplify the expression: 8y + 4 - 3y + 12

Answers

The simplified value of 8y + 4 - 3y + 12 is 5y+16

What is simplification of expression?

An expression or algebraic expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. For example , 4x+5 , 2x²+2, 10y³+5y²+6

To simplify an expression means to write the expression Ina simpler form. for example 6y²+2y can be written as 2y( 3y+1)

Simplifying 8y + 4 - 3y + 12,

collecting like terms

8y-3y+4+12

= 5y+16

therefore the simplification of 8y + 4 - 3y + 12 is 5y+16

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I need help finding 1=cos(8π)+isin(8π) but it has to be divided by 6. I will give 20 points to whoever answers it.

Answers

Answer: 1/6 = cos(8π)/6 + i*sin(8π)/6

Step-by-step explanation: In the context of complex numbers, the division of 1 by 6 can be accomplished by employing a straightforward procedure that involves dividing both the real and imaginary components by 6.

The mathematical expression 1/6 may be represented in academic prose via the complex number format (cos(8π)/6 + i*sin(8π)/6).

Thank you for the help!

Answers

Answer:

c 57

Step-by-step explanation:

PLEASE HELP (WILL GIVE BRAINLIEST

Answers

Answer:

V = 62.8 m[tex]^{3}[/tex]

Step-by-step explanation:

V = pi × (radius)[tex]^{2}[/tex] × height

V = [tex]\pi[/tex] × [tex]r^{2}[/tex] × h

V = (3.14 × [[tex]2^{2}[/tex]]) × 5

V = (3.14 × 4) × 5

V = 12.56 × 5

V = 62.8 m[tex]^{3}[/tex]

I REALLY NEED HELP LIKE ASAP PLS PLS I HAVE A LOT OF HOMEWORK TO DO PLS ANSWER
5(3n+4n+3) = -125
solve for the value of n pls.

Answers

Answer:

n=-4

Step-by-step explanation:

5(3n+4n+3) = -125

First, combine like terms:

5(7n+3) = -125

Then, distribute the 5:

35n+15 = -125

Then, get n by itself:

35n= -140

Then, divide by 35 to get n by itself:

n = -140/35

Simplify

n = -4

Please help with my geometry.
Find the area of the shaded region.

Answers

Answer:

192pie

Step-by-step explanation:

To find the area of a circle, it is pie (3.14) times r². The radius is 24, so it is 24² times pie. The area is 576 pie. Now to find the area of the shaded, you would do 1/3 times the area. 1/3 of 576 is 192. The answer is 192pie

7. Based on an exponential model of the data, what is the predicted value of Variable 2 when
Variable 1 = 2?
Round your answer to the nearest whole number.
Variable 1:
10
20
30
40
50
60
70
80
90
100
variable 2:
100
80
52
40
35
25
17
11
10
7

Answers

Answer:

  128

Step-by-step explanation:

You want a prediction for x=2 when the given data is modeled by an exponential model.

x = 10, 20, 30, 40, 50, 60, 70, 80, 90, 100y = 100, 80, 52, 40, 35, 25, 17, 11, 10, 7

Model

A graphing calculator's exponential regression function models this data with the formula ...

  y = 135.7 · 0.9711^x

  y = 137.7 · 0.9711^2 ≈ 127.94 . . . . when x=2

This model gives a value for variable 2 of approximately 128 when variable 1 = 2.

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2. Consider er the verbal definition of linear charge density, which is : "charge per unit length" a.Suppose there were a segment of length L0, that were uniformly charged with net charge Q0 Determine an expression for b.suppose the segment were non-uniformly charged, but still had a length L0, and net charge Q0i. Why does your expression in part a. not describe at the center of the segment? Explain. ii. Describe an alternate method that would determine at the center of the segment. What length would you measure? What charge would you use? c. Based on your answers above, write a general expression for the linear charge density that would always work. c. c. Interpret the statement "charge per unit length" word by word. What sort of measurement or mathematical operation does each word refer to? Charge: Per: Unit: Length: according to ghemawat, which of the following offers room for cross-border strategy to have content distinct from single-country strategy? group of answer choices semi-globalization regional integration privatization Jeff's work to find the missing length of the triangle is shown. Explain Jeff's error. What is a key meeting to inspect the Integrated Increment? What is two ten thousandths in decimal form If ______ is done at a network or IP level a key is needed for each pair of hosts on the network that wish to communicate. WHAT VALUE OF X WOULD MAKE THE INEQUALITY 55 In a class of 100 students, 55 students have passed in physics and 67 students have passed in Mathematics. Find the number of students passed in Physics only. Which term refers to laws implemented after the U.S. Civil War to legally enforce segregation, particularly in the South after the end of slavery?a.civil rightsb.racializationc.discriminationd.Jim Crow In the customer loyalty life cycle, the customer has a want or need, then considers different purchasing options. What step comes next? Which best describes the role of communication in scientific investigations?Communication can help identify good scientific questions to further investigate.Communication is not necessary once the data are collected because the scientists can do the data analysis themselves.Communication should not be used in planning the experimental design because the scientists want to have original ideas.Communication is important because the scientists need to convince other researchers not to challenge their results sketch and label an example of the different types of survivorship curves. briefly describe an example of each one But the offer of a few such paltry articles as a brass kettle, a few pounds of tobacco [etc.] is too insignificant to be thought of, as an inducement for us to abandon our cultivated possessions, and join our wilder brethren in the west. It is too late to think we can be so much allured by soft words and smooth promises as to sell our birth- right for a few dried leaves of a noxious weed. Those who may entertain an opinion of our speedy removal, and that too to be effected by such trifling inducements as above, will be lost in the labyrinth of their speculations; and ere long the splendid mansions which their imaginations have builded [built] upon the plains of Look Out and Coosa will vanish before reality, like darkness before the rising sun. 1961 -"Indian Emigration, Cherokee Phoenix, 1828 The specific heat values for solid gold and solid iron are listed below:J/8Cgold= 0.129J/8Ciron= 0.449If a 10g sample of gold and a 10g sample of iron were exposed to the same heat source for 1 minute, which sample would have a higher finaltemperature? Why?O The gold sample contains fewer atoms, therefore its final temperature is higherO The gold sample contains fewer atoms, therefore its final temperature is lowerO The gold sample contains more atoms, therefore its final temperature is higherO The gold sample contains more atoms, therefore its final temperature is lower An orange cone has a volume of 376.8 cubin cm and a radius of 6 cm. What is the height? The nurse is teaching a client with coronary artery disease about nutrition. What information should the nurse be sure to emphasize?a. Eat three balanced meals a dayb. Avoid large and heavy mealsc. Add complex carbohydrates to each meald. Limit sodium to 7 grams per day Undersea volcanic eruptions are one culprit in the formation of _______, which are the second most deadly volcanic process. what is the one consideration you should NOT consider when evaluating any savings and investments? Nachelle earned a score of 725 on Exam A that had a mean of 700 and a standard deviation of 50. She is about to take Exam B that has a mean of 100 and a standard deviation of 20. How well must Nachelle score on Exam B in order to do equivalently well as she did on Exam A? Assume that scores on each exam are normally distributed. solve the following signed binary (base 2) in two's (2's) complement representation arithmetic and indicate if overflow occurred. 0101 1000 (base 2) 0001 1000 (base 2)