what is the density of 9 cm³ gold cube with 450 g in a mass?​

Answers

Answer 1

Answer:

Answer is 50g/cm^3

Step-by-step explanation:

soln,

Volume of the gold cube = 9 cm^3

Mass of the gold cube = 450 g

now,

density= mass/volume

=450 / 9

=50 g/cm^3

{Therefore, the density of the gold cube is 50 g/cm^3.}


Related Questions

Translate the following into an algebraic expression:
5 more than a number
5x
x/5
x-5
x+5

Translate the following into an algebraic expression:5 more than a number5xx/5x-5x+5

Answers

Answer:

x+5 is the right answer because it says 5 more than a number

Help. Answer this please!

Help. Answer this please!

Answers

Answer:

b

Step-by-step explanation:

hard to explain right here sorry man

The fundamental question addressed by the correlational method is
a. "Does variable A cause variable B?"
b. "How is a control group influenced by the absence of an independent variable?"
c. "What impact does random assignment have on psychological behavior?"
d. "Are two or more variables related in some systematic way?"

Answers

The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. So the correct option is D.

Correlational method is a research technique used to explore the relationship between two or more variables. In this method, researchers collect data on the variables of interest and analyze their patterns of association. The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. This means that researchers are interested in exploring whether changes in one variable are associated with changes in another variable.

For instance, a researcher may be interested in exploring the relationship between stress and job performance. The researcher may collect data on the levels of stress and job performance in a sample of employees and then use statistical analysis to determine if there is a systematic relationship between the two variables. If the results show that higher levels of stress are associated with lower levels of job performance, then the researcher can conclude that there is a negative correlation between the two variables.

It is important to note that correlation does not imply causation. While a correlation between two variables indicates that they are related, it does not necessarily mean that changes in one variable are causing changes in the other variable. Therefore, researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.

Therefore, the fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way, and researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.

To learn more about correlational method here:

brainly.com/question/28476621#

#SPJ11

-16<8/3t solve the inequality


PLEASE DO IT QUICK

Answers

Answer: (-6, infinty)

Step-by-step explanation:

A cone-shaped paper drinking cup is to be made to hold 36 cm3 of water. Find the height and radius of the cup (in cm) that will use the smallest amount of paper. (Round your answers to two decimal places.) height cm radius cm

Answers

The height and radius of the cup are 4.41 cm and 2.07 cm respectively

To minimize the amount of paper used, we need to minimize the surface area of the cup. Let h be the height and r be the radius of the cone. Then we have:
\(Volume of cone = \frac{1}{3}  πr^{2} h = 36 cm^{3}\)

Solving for h, we get:
\(h = \frac{108}{(πr^2)}\)

Now we can express the surface area of the cone as:
\(Surface area = πr^2+ πr\sqrt{r^{2}+h^{2}  }\)

Substituting the expression for h, we get:

\(Surface area = πr^2+πr \sqrt{(r^{2} +(\frac{108}{(πr^2)^{2}) } )}\)

To minimize this function, we take its derivative with respect to r and set it equal to zero:
\(\frac{d}{dx} (Surface area) =  \frac{2πr - 108r }{[(r^2+(\frac{108}{πr^2}))^{0.5}  }] - \frac{108π}{r^2 }  = 0\)

Simplifying, we get:
\(2r^3 - \frac{108^2}{π} = 0\)

Solving for r, we get:
\(r = (\frac{54}{π})^{\frac{1}{3} }\)

Substituting this value into the expression for h, we get:
\(h = \frac{108}{\frac{54}{π} ^{(\frac{2}{3}π )} }\)

Thus, the height and radius of the cup that will use the smallest amount of paper are:
height = 4.41 cm
radius = 2.07 cm (rounded to two decimal places)

To know more about "Volume of cone" refer here:

https://brainly.com/question/1984638#

#SPJ11

Solve for x in the figure below
33
2x + 30
41​

Solve for x in the figure below 332x + 3041

Answers

Given:

An exterior angle of a triangle = 2x+30°

Two opposite interior angles are 33° and 41°.

To find:

The value of x.

Solution:

According to the exterior angle thereom, the exterior angle of a triangle is equal to the sum of opposite interior angles.

Using exterior angle theroem, we get

\((2x+30)^\circ=33^\circ+41^\circ\)

\((2x+30)^\circ=74^\circ\)

\((2x+30)=74\)

On further simplification, we get

\(2x=74-30\)

\(2x=44\)

\(x=\dfrac{44}{2}\)

\(x=22\)

Therefore, the value of x is 22.

Help plz..And No links!! I repeat No links!!

Help plz..And No links!! I repeat No links!!

Answers

Answer:

it is 12 yards .hnuhbuy yg7ygbv bghh

Which line below is parallel to the line that y = 1/2x - 2?
A) y = 1/2x + 2
B) y = -1/2x + 2
C) y = 1/2 - 2x
D) y= 1/2 + 2x

Answers

Answer:

The answer is b

Step-by-step explanation:

Bc it is just basicly the x and y axis

If Paula divides her pencils among three friends and herself, everyone gets the same number of pencils. If Paula divides her pencils among
five friends and herself, everyone will get the same number of pencils.
How many pencils could Paula have?
A 28
B. 30
C. 42
D. 48

Answers

C.28 I guess if is not then sorry

A baseball player gets a hit 40% of the time if the weather is nice but only 20% of the time if it is cold or windy. The weather forecast shows a 70% chance of being nice, 20% chance of being cold, and 10% chance of being windy. What is the probability that the baseball player will get a hit?

Answers

Answer:

34%.

Step-by-step explanation:

Chance he gets a hit of the weather is nice = 0.40 * 0.70 = 0.28.

or if its windy the chance  he gets hit is 0.10 * 0.20 = 0.02.

Chance its cold and he gets a hit = 0.2 * 0.2 = 0.04,

So the chance he gets a hit =  0.28 + 0.02 + 0.04

= 0.34 = 34%.

A movie theater in town posted these prices for tickets and snacks.

A 2-column table with 7 rows. Column 1 is labeled Item with entries adult ticket, child ticket, drink, popcorn, veggie cup, soft pretzel, apple slices. Column 2 is labeled cost (dollars) with entries 9, 6, 1.35, 3.50, 1.74, 2.65, 3.85.

Sally and Anne went to the movies. They each purchased a drink. They also bought one popcorn and one veggie cup to share. Which expression can be used to find how much money each woman spent?
One-half (9 + 1.35 + 3.50 + 1.74)
9 + 1.35 + one-half (3.50 + 1.74)
18 + 2.70 + one-half (3.50 + 1.74)
9+1.35+2(3.50+1.7)

Answers

Answer:

9 + 1.35 + one-half (3.50 + 1.74)

Step-by-step explanation:

Sally pay

9 - adult ticket

1.35 - drink

1/2 ( 3.50 popcorn + 1.74 veggie cup)

= 9 + 1.35 + 1/2(3.50 +1.74)

Answer: it is b on edgy 9 + 1.35 + one-half (3.50 + 1.74)    Step-by-step explanation: hope this helps have a nice day and night

What is the area of a regular pentagon if its apothem has a length of 4 feet and each side has a length of 5.8 feet?
a 139.2 ft?
b. 58 ft2
C. 116 ft2
d 69.6 ft-

Answers

The area of a regular pentagon is 58 ft2. thus option B is correct.

What is apothem?

Apothem for a regular polygon is a line segment that originates from the center of the regular polygon and touches the mid of one of the sides of the regular polygon.

It is perpendicular to the regular polygon's side it touches.

Given; An apothem has a length of 4 feet and each side has a length of 5.8 feet.

The area of any regular polygon can be calculated as:

Area = number of sides (n) x 0.5 x length of sides (s) x apothem (a)

Area = 5 x 0.5 x 4 x 5.8

Area = 58

Hence, the area of a regular pentagon is 58 ft2. thus option B is correct.

Learn more about apothem here:

https://brainly.com/question/12090932

#SPJ2

(04.03) The graph shows the amount of money paid when purchasing bags of candy at the zoo: Total cost a Bags of Candy Write an equation to represent the relationship between the total cost (y) and the number of bags of candy (x).
A: y= 1 over 2 x
B: y= 2x
C: y=3x
D: y = 1 over 3 x​

(04.03) The graph shows the amount of money paid when purchasing bags of candy at the zoo: Total cost

Answers

Answer:

B

Step-by-step explanation:

Slope of the line

(y2 - y1)/(x2 - x1)

(4-2)/(2-1)

2/1 =2

y = 2x

At the movies, John was sent to the lobby to buy refreshments for his friends. Some wanted popcorn which sold for 50 cents a bag and others wanted caramel corn which was 75 cents a bag. If John bought 9 bags and spent $5.00, how many of each kind of bag did he buy?

Answers

If John bought 9 bags and spent $5.00, using simultaneous equations, the number of each kind of bag he bought is 7 bags of popcorn and 2 bags of caramel corn.

What are simultaneous equations?

Simultaneous equations are two or more equations solved simultaneously or concurrently.

When two or more equations are solved at the same time, they are described as simultaneous equations or a system of equations.

The cost of popcorn per bag = $0.50

The cost of caramel corn per bag = $0.75

The total number of bags bought = 9

The total cost of the 9 bags = $5

Let the number of bags of popcorn = p and the number of caramel corn = c

Equations:

0.5p + 0.75c = 5 ... Equation 1

p + c = 9 ... Equation 2

Multiply Equation 2 by 0.5:

0.5p + 0.5c = 4.5  ... Equation 3

Subtract Equation 3 from Equation 1:

0.5p + 0.75c = 5

-

0.5p + 0.5c = 4.5

0.25c = 0.5

c = 2

p = 9 - 2

= 7

Learn more about simultaneous equations at https://brainly.com/question/148035

#SPJ1

choices:
x=360-114
x=114-90
360=x +90+114​

choices:x=360-114x=114-90360=x +90+114

Answers

Answer:

see explanation

Step-by-step explanation:

The sum of the angles around D = 360° , then

x = 360 - (114 + 90) ← equation to find x

  = 360 - 156

  = 204


2. What is the 50th term in the sequence t(n) = 2 + 8n?

Answers

Answer:

402?

2+ 8(50)?

not sure

Step-by-step explanation:

if so mark the brainliest!

Which of the following properties are true for rigid transformations?
i. Increases or decreases the size of the figure
ii. Moves the location of the figure.
iii. Changes the shape of the figure
O ii only
O i and ii
O ii and in
O i, ii, and in

Which of the following properties are true for rigid transformations?i. Increases or decreases the size

Answers

Answer:

The first choice is correct. ii only.

Step-by-step explanation:

A rigid transformation changes the location of the shape without changing its size. There are three basic rigid transformations: reflections, rotations, and translations.

We are given these properties:

i. Increases or decreases the size of the figure

ii. Moves the location of the figure.

iii. Changes the shape of the figure.

Let's analyze each choice below:

O ii only . This is true. The other two properties are non-rigid transformations. Correct

O i and ii . This is not true. Increasing or decreasing the size of the figure is a non-rigid transformation. Incorrect.

O ii and iii. Changing the shape of the figure is a non-rigid transformation. Incorrect.

O i, ii, and iii. Properties i and iii are non-rigid transformation. Incorrect.

a circle is inscribed in a unit square. a smaller square is then inscribed within the circle. what is the side length of the smaller square?

Answers

To solve this problem, we need to use some basic geometry concepts. First, we know that the diagonal of a unit square is the square root of 2, since the sides are of length 1.  The side length of the smaller square inscribed within a circle inscribed in a unit square is 1.

Next, we know that the circle inscribed in the square will have a diameter equal to the diagonal of the square, which is the square root of 2. The radius of the circle will therefore be half of the diameter, which is sqrt(2)/2.
Now we can use the radius of the circle to find the side length of the smaller square inscribed within it. If we draw the diagonal of the smaller square, it will be twice the radius of the circle, or sqrt(2). This is because the diagonal of the square passes through the center of the circle and therefore has a length equal to twice the radius.
We can then use the Pythagorean theorem to find the length of each side of the smaller square. If we let x be the side length of the smaller square, then we have:
x^2 + x^2 = 2
2x^2 = 2
x^2 = 1
x = 1
Therefore, the side length of the smaller square is 1, which makes sense since it is inscribed within a unit square.

For more questions on geometry

https://brainly.com/question/24375372

#SPJ11

Need help with this homework question

Answers

The question is not attach!

what kind of distribution is the t distribution? a. continuous b. discrete c. subjective d. z distribution

Answers

The t-distribution is a continuous kind of distribution. Hence, the correct option for this question is option a.

The t-distribution was developed by English statistician William Sealy Gosset with an alias 'Student'. Hence, it is also known as Student's t- distribution.

In probability and statistics, Student's t-distribution is said to be any member of a family of continuous probability distributions. For example when they arise while estimating the mean of a normally distributed population in situations where the population's standard deviation is unknown and the sample size is small. The t-distribution is symmetric and looks like a bell-shaped graph, just like the normal distribution.

Read more about t-distribution:

brainly.com/question/29734811

#SPJ4

25 fewer than twice a number?

Answers

Answer:

2x - 25

Step-by-step explanation:

Since we don't know what the number is, just call it x. Twice x can be written as 2x and 25 fewer than 2x is 2x - 25.

Suppose on a specific street, the mean (average) speed of cars is 43 miles per hour and standard deviation 2.7 miles per hour.
Suppose 55 cars are randomly selected and the mean speed computed. Let it be X¯. The sampling distribution of X¯ follows Normal distribution.
Mean of X¯ is mph.
Standard deviation of X¯ is mph. Round to 2 decimals.
In the sample of 55 cars, what is the probability that the mean speed is between 42.5 and 43.5 miles per hour? Round to 2 decimal.
In the sample of 55 cars, what is the probability that the average speed is more than 44 miles per hour? Round to 3 decimals.

Answers

The probability that the mean speed is between 42.5 and 43.5 miles per hour is 0.80 (rounded to 2 decimal places)The probability that the average speed is more than 44 miles per hour is 0.001 (rounded to 3 decimal places).

Given: The mean (average) speed of cars is 43 miles per hour and the standard deviation is 2.7 miles per hour. And, 55 cars are randomly selected and the mean speed is computed. Let it be X¯. The sampling distribution of X¯ follows the Normal distribution. The Mean of X¯ is mph. The standard deviation of X¯ is mph. Round to 2 decimals.

Now, to find the probability, we use the standard normal distribution for the sample size n > 30. Here, n = 55Mean of sampling distribution, μx¯ = μ = 43 mph standard deviation of sampling distribution, σx¯ = σ/√n = 2.7/√55 mphThe z-score formula is given by; z = (x - μx¯)/σx¯So,

1. To find the probability that the mean speed is between 42.5 and 43.5 miles per hour: We need to find;P(42.5 ≤ x ≤ 43.5). We will convert the limits into z-score to use standard normal table.

z1 = (42.5 - 43)/(2.7/√55) = -1.7z2 = (43.5 - 43)/(2.7/√55) = 1.7

Now, P(42.5 ≤ x ≤ 43.5) = P(-1.7 ≤ z ≤ 1.7. )From the standard normal table,

P(-1.7 ≤ z ≤ 1.7) = 0.8990 - 0.1010= 0.7980.

Therefore, the probability that the mean speed is between 42.5 and 43.5 miles per hour is 0.80 (rounded to 2 decimal places).

2. To find the probability that the average speed is more than 44 miles per hour:

We need to find;P(x > 44), We will convert the limits into z-score to use the standard normal table.

z = (44 - 43)/(2.7/√55) = 3.15. Now, P(z > 3.15) = 0.0009 (rounded to 3 decimal places).

Therefore, the probability that the average speed is more than 44 miles per hour is 0.001 (rounded to 3 decimal places).

To know more about probability refer here:

https://brainly.com/question/31828911

#SPJ11

Write the equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x

Answers

Answer:

The equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x is \(\mathbf{y=-\frac{2}{3}x+3 }\)

Step-by-step explanation:

We need to Write the equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x

The general equation in slope-intercept form is: \(y=mx+b\) where m is slope and b is y-intercept.

Finding Slope:

Both the equations given are parallel. So, they will be having same slope.

Slope of given equation y= - 2/3x is m = -2/3

This equation is in slope-intercept form, comparing with general equation  \(y=mx+b\) where m is slope , we get the value of m= -2/3

So, slope of required line is: m = -2/3

Finding y-intercept:

Using slope m = -2/3 and point (-3,5) we can find y-intercept

\(y=mx+b\\5=-\frac{2}{3}(-3)+b\\5=2+b\\ b=5-2\\b=3\)

So, we get b = 3

Now, the equation of required line having slope m = -2/3 and y-intercept b =3

\(y=mx+b\\y=-\frac{2}{3}x+3\)

The equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x is \(\mathbf{y=-\frac{2}{3}x+3 }\)

Answer:

\(\displaystyle y = -\frac{2}{3}x + 3\)

Step-by-step explanation:

5 = –⅔[–3] + b

2

\(\displaystyle 3 = b \\ \\ y = -\frac{2}{3}x + 3\)

Parallel equations have SIMILAR RATE OF CHANGES [SLOPES], so –⅔ remains as is.

I am joyous to assist you at any time.

1 4/5 = 2/5 + r HELPPPPPPPPPPPPPPPPPPPPP

































Answers

Answer:

r=7/5

Step-by-step explanation:

Practice 2.7.4 Modeling: Similarity Theorems I'm really confused and I need help! or I will not graduate :/ I'm actually a senior :(

Answers

Answer:

Step-by-step explanation:

I am sorry but please give detailed question

Please help!
I need the answer ASAP

Please help!I need the answer ASAP

Answers

2 more hours that is the correct answer

Mathematical methods that allow us to determine whether we can generalize findings from our sample to the full population are called.

Answers

Statistical inference methods. These methods help us determine if findings from a sample can be generalized to the full population by using mathematical techniques to make inferences about population parameters based on sample data.

Mathematical methods that allow us to determine whether we can generalize findings from our sample to the full population are called statistical inference methods. These methods involve making inferences and drawing conclusions about population parameters based on sample data. Statistical inference helps us make statements about the population based on the information obtained from a representative sample. Common techniques in statistical inference include hypothesis testing, confidence intervals, and estimation.

learn more about Statistical inference methods here:
https://brainly.com/question/30881181

#SPJ11

A pharmacy claims that the average medication costs $32, but it could differ by as much as $8. Write an absolute value inequality to determine the range of medication costs at this pharmacy.

Answers

Answer:

| 32 - c | \(\leq\) 8

Step-by-step explanation:

c represents the cost of the medication

This absolute value inequality makes sure that the difference is less than or equal to 8, whether or not the medication is $8 more or less than the average.

Answer:[x - 32] <(with line under it) 8

Step-by-step explanation:

Groups of twenty to thirty people, composed of representatives
from multiple different subgroups will be able to work more
effectively than a group of six to eight people.
True or false

Answers

The statement suggesting that larger groups are more effective than smaller groups is false. Smaller groups tend to have better communication, efficiency, and individual participation.

The statement suggests that larger groups, specifically groups of twenty to thirty people with representatives from multiple subgroups, are more effective than smaller groups of six to eight people. However, this statement is generally considered false for several reasons:

Communication and coordination:

Larger groups can face challenges in communication and coordination. With more members, it becomes more difficult to ensure effective information sharing, active participation, and clear decision-making. Small groups often have better communication and coordination due to fewer individuals involved.

Efficiency and productivity:

Smaller groups tend to be more efficient and productive. In larger groups, there can be increased time spent on managing diverse opinions and reaching consensus, which can slow down the decision-making process and hinder productivity. Smaller groups can often make quicker decisions and accomplish tasks more efficiently.

Individual participation:

Larger groups may result in reduced individual participation. Some members may feel less inclined to contribute or may be overshadowed by more dominant personalities. In smaller groups, each member can have a more significant impact and be actively engaged in the group's work.

Group dynamics and cohesion:

Smaller groups tend to foster better group dynamics and cohesion. It is easier for members to develop strong relationships, trust, and a shared sense of purpose in smaller groups. Larger groups can struggle with maintaining cohesiveness and a sense of belonging.

While larger groups may have certain advantages, such as a broader range of perspectives and resources, the statement disregards the potential drawbacks of managing larger groups effectively. Overall, smaller groups often exhibit better communication, efficiency, and individual participation, making the statement false in general.

To learn more about Communication and coordination visit:

https://brainly.com/question/30161397

#SPJ11

Students were given a sensation-seeking test and then divided into two groups based on their scores. A researcher observed how many times students in each group got out of their seats over the course of 2 hours. The dependent variable is:

Answers

The dependent variable in this study is the number of times the students got out of their seats over the course of 2 hours.

The independent variable is the variable that is being manipulated or controlled by the researcher.

It is the variable that is expected to cause a change in the dependent variable which is the variable being measured as the outcome or response to the manipulation of the independent variable.

In the given scenario, the independent variable is the group assignment based on the scores on the sensation-seeking test.

The researcher has divided the students into two groups based on their scores, and this grouping is being used as a way of manipulating or controlling the students' level of sensation-seeking behavior.

The researcher is interested in how this manipulation affects the students' behavior in terms of getting out of their seats.

The dependent variable is the number of times the students got out of their seats over the course of 2 hours.

This variable is expected to vary depending on the level of the independent variable, which is the group assignment based on the sensation-seeking test scores.

The researcher will measure the dependent variable for each group separately and then compare the results to determine if there is a significant difference between the two groups.

In summary,

The independent variable is the grouping of the students based on their scores on the sensation-seeking test and the dependent variable is the number of times the students got out of their seats over the course of 2 hours.

For similar question on dependent variable:

https://brainly.com/question/29430246

#SPJ11

Other Questions
3. What does the notation TT mean to geneticists?a. two dominant allelesb. two recessive allelesc. at least one dominant alleled. one dominant and one recessive allele a means must be provided for for each metal box for the connection of a(n) _________ (w) The amplitude of 5sin( - 2x+6) isA. 5 B. -2 C. 6 D. -5 E. None of the above. (x) sin (2) equals to A. /6 rad B. -/6 rad C. /3 radD. /4 rad E. Undefined Julin, un chico sin suerteA. Julin es un chico sin suerte (luck) y casi todo lo que hace le sale mal. Une las frases de lacolumna A con las frases de la columna B, para formar oraciones lgicas.(Match)A1. Julin le compr un regalo a su amigoCarlos para su cumpleaos...2. Lilia invit a Julin a correr al parque...3. Julin y su mejor amigo, David, fueronal cine...4. Sus sobrinos vinieron de visita y le pidieronarroz con pollo...5. Julin les pidi ayuda a sus paps parahacer su tarea de espaol...6. Julin quiso nadar ayer...7. En su viaje a Puerto Rico, Julin conocia una chica muy bonita...8. Julin invit a Eugenia a caminar enel parque...9. Julin pidi trabajo en el restaurante...10. Julin les dijo a sus padres que aprobel examen de matemticas...a. pero anoche sus padres supieronla verdad.b. pero ella no quiso salir con l.C. pero lleg tarde a la fiesta y nopudo entregrselo.d. pero el dueo no quiso drselo.e. pero l no pudo correr ni un kilmetro.f. pero Julin no supo cmo prepararlo.g. pero no pudieron entrar a ver la pelculaporque olvidaron llevar dinero para lasentradas (tickets).h. pero no pudo porque la piscina estaba(was) fuera de servicio (out of order).i. pero ella no pudo ir porque se rompiuna pierna.j. pero ellos no pudieron ayudarle porquesolamente saben francs. The term ____ refers to the sum total of beliefs that people have about themselves. 12 Why young people find the transition between school and university challenging? 2.25 gal = _______?qt Write the inequality:Two less than twice a number is less than a half. excels goal seek may be used to perform blank______ analysis. multiple choice question. break-even operating leverage margin of safety cvp Based on current understanding, the minimum mass of a black hole that forms during a massive star supernova is roughly __________. Select the correct text in the passage.Which sentence best develops the idea that the Spanish were motivated to test a material different from wood?(4) Although found in very few places in the world, conditions were just right for coquina formation along the east coast ofFlorida. The Spanish knew about this rock, and while they might have picked up loose chunks, the people of St. Augustine wereprimarily soldiers, not stonemasons, and so this rock sat mostly unused and unappreciated for years. Wood was more plentiful,at first, and easier to work with. But then the British, settling to the north, edged into the Carolinas. Spanish Florida was only ashort sail away. Something more than a wooden fort was needed to protect St. Augustine and to keep the British from takingover Florida... Kim and her friends watched the server making smoothies. The table shows the number of mangos that were used for each of the different sizes of smoothies that the friends ordered. Mangos Used Smoothie SizeAngela 1 9 ozKim 3 27 ozBri 4 36 ozWhich statement is correct based on the data? The ratio of smoothie size to mangos used for Kim is the same as the ratio of smoothie size to mangos used for Angela. The ratio of smoothie size to mangos used for Kim is 1:9, and the ratio of smoothie size to mangos used for Bri is 4:27. The ratio of smoothie size to mangos used for Angela is higher than the ratio of smoothie size to mangos used for Kim. The ratio of smoothie size to mangos used for Bri is 9:1, and the ratio of smoothie size to mangos used for Angela is 4:36. Superheated steam at 575 C is routed through steel tubes (k =25 W/m K) of 300 mm inner diameter and 60 mm wall thickness. To reduce heat loss to the surroundings, a layer of calcium silicate insulation (k = 0.010 W/m K) is applied to the tubes. The outside air temperature is 27 C. Assuming that the inner surface temperature of a steel tube corresponds to that of the steam and the convection coefficient outside is 6 W/m2 K. (a) What is the heat loss per meter from the bare tube? (b) when the insulation thickness is 17 mm find the heat loss from the insulated pipe. (c) Find the surface temperatures of the pipe and outside surface of the insulation. a grocery store sells a bag of 5 oranges for $1.60. If Claire spent $0.96 on oranges, how many did she buy? Enter the equation of the line in slope-intercept form.The line parallel to y = x that passes through (7, 2.5).The equation of the line that passes through (7, 2.5) is y = . How many 75k shares can be bought with #150 at 75k each assume x and y are int variables. write an expression that evaluates to true if x is greater than y. Which of the following represents the set of possible rational roots for thepolynomial shown below?2x3 + 5x2 8x 20 = 0 which literary device is "Journalism is truth" A 9.85 mm high chocolate chip is placed on the axis of, and 12.3 cm from, a lens with a focal length of 6.33 cm.If it can be determined, is the chocolate chip's image real or virtual?a. virtualb. cannot be determinedc. Real