3. A mysterious metal medallion has a mass of 3,088 grams. Water is poured into a graduated glass container with a 10-by-10 cm square base with a water level of 53.0 cm. The medallion is dropped into the container and the water level rises to 54.6 cm. Find the volume and the density of the​

Answers

Answer 1

Answer:

Initial volume:

10*10*53 = 5300 cm³

Increased volume:

10*10*54.6 = 5460 cm³

Volume of the medallion:

5460 - 5300 = 160 cm³

Density = mass / volume

Density is:

3.088/160 = 19.3 g / cm³

Related Questions

Why 1 [infinity] is not defined?

Answers

1 [infinity] is not defined because infinity is an abstract concept and cannot be used in the same way as numeric values. Infinity is not a number or a numerical value, and therefore it cannot be used in equations or arithmetic operations.

1. Infinity is an abstract concept and cannot be used in the same way as numeric values.

2. Infinity is not a number or a numerical value.

3. Therefore, it cannot be used in equations or arithmetic operations.

4. Therefore, 1 [infinity] is not defined.

1 [infinity] is not defined because infinity is an abstract concept and cannot be used in the same way as numeric values. Infinity is not a number or a numerical value, and therefore it cannot be used in equations or arithmetic operations.

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What is the height of the triangle 12 units?

Answers

The triangle of 12 units has a height of 10.39 units by Divide the result by the area (A) after first multiplying the base (b) by 1/2.

what is triangle ?

A triangle, which is a polygon, has three sides and three vertices. One of geometry's basic shapes is it. A triangle with the vertices A, B, and C is referred to as Triangle ABC. A unique plane and triangle are discovered in Euclidean geometry when the three points are not collinear. Having three sides and three corners, a triangle is a polygon. The triangle's corners are defined as where the three sides meet one another end to end. 180 degrees is the sum of the angles in a triangle.

given

Given, side length, a = 12 units.

the height of equilateral triangle, h = (a√3)/2.

Substituting the value of 'a',

h = (12√3)/2 = 6√3 =

10.39 units.

The triangle of 12 units has a height of 10.39 units by Divide the result by the area (A) after first multiplying the base (b) by 1/2.

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2) What is the additive inverse of 4,000,000 ?
a) 4,000,000
b) -4,000,000

Answers

Answer:

B

Step-by-step explanation:

Answer:

(b) -4,000,000

Step-by-step explanation:

Additive inverse is what you add to a number to make the sum zero. In other words, we just need to change the sign of the number to find its additive inverse, from - to + and from + to -

Look at the drawing below.
(2x +10)
46°
Which equation can be used to determine the value of x?
2x + 10 = 46
2x + 10 + 46 = 180
2x + 10 + 46 = 90
Not Here


Correct answer shall get 10 points hurry pls.

Answers

Answer:

[tex]\small\mathfrak\green{2x + 10 + 46 = 180 \: = linear \: pair} \\ \\ \small\mathfrak\red{hope it helps...}[/tex]

A ladder that is 14 feet long is placed against a building. The bottom of the ladder is 6 feet from the base of the building.

A right triangle with side length 6 feet, hypotenuse 14 feet, and side h.

In feet, how high up the side of the building is the top of the ladder? Round to the nearest tenth of a foot.


12.65

Answers

Answer:

12.6 ft

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

let h be height up the side of the building , then

h² + 6² = 14²

h² + 36 = 196 ( subtract 36 from both sides )

h² = 160 ( take the square root of both sides )

h = [tex]\sqrt{160}[/tex] ≈ 12.6 ft ( to the nearest tenth )

C is the centroid of △ABD. find the following:
1. If CD = 12, find FC.
2. If BG= 15, find BC.
3. If AE = 21, find EC.
4. If FA = 6, find BA.
5. If CG = 3.5, find BC.​

Answers

Answer:

1. FC = 6

2. BC = 10

3. EC = 7

4. BA = 12

5. BC = 7

Step-by-step explanation:

What is the centroid of a triangle?

the intersection of the medians of a trianglethe medians bisect each side in halfeach median is split in the ratio of 2:1each median has a segment from the vertex to the centroid. that segment is 2/3 the distance from said vertex to the opposite side of said vertexeach median has a segment from the centroid to a side opposite of a vertex. that segment is 1/3 the distance from said vertex to said opposite side

Using the properties of a centroid, we can determine the lengths the problem is asking us for.

1. If CD = 12, find FC.

each median is split in the ratio of 2:1

So if the median we need to look at is FD,

then CD : FC = 2:1

[tex]\frac{CD}{FC} = \frac{2}{1}\\\\\\\\[/tex] . . . . . . . . write the proportion

[tex]\frac{12}{FC} = \frac{2}{1}[/tex] . . . . . . . . . substitute the known values

[tex]12 = 2FC[/tex] . . . . . .  cross multiply

[tex]FC = 6[/tex] . . . . . . divide both sides by 2 to isolate FC

∴ FC = 6

2. If BG = 15, find BC

each median has a segment from the vertex to the centroid. that segment is 2/3 the distance from said vertex to the opposite side of said vertex

So if BG = 15, and BC is the distance from a vertex to the centroid, then BC is 2/3 of BG.

[tex]BC = \frac{2}{2}BG[/tex] . . . . . write equation

[tex]BC = \frac{2}{3}(15)[/tex] . . . . . substitute known values

[tex]BC = \frac{30}{3}[/tex] . . . . . . . . multiply numerators

[tex]BC = 10[/tex] . . . . . .  . . compute

∴ BC = 10

3. If AE = 21, find EC

each median has a segment from the centroid to a side opposite of a vertex. that segment is 1/3 the distance from said vertex to said opposite side

So if AE is the full median, and EC is the distance from the centroid to the opposite side of a vertex, then EC is 1/3 of AE.

[tex]EC = \frac{1}{3}AE[/tex] . . . . . . . . write equation

[tex]EC = \frac{1}{3}(21)[/tex] . . . . . . . . substitute known values

[tex]EC = \frac{21}{3}[/tex] . . . . . . . . . . . multiply the numerators

[tex]EC = 7[/tex] . . . . . . . . . . . . compute

∴ EC = 7

4. If FA = 6, find BA

the medians bisect each side in half

If BA is a side length that is bisected by a median, then FA is 1/2 of BA.

[tex]FA = \frac{1}{2}BA[/tex] . . . . . . . make equation

[tex]FA = \frac{1}{2}(6)[/tex] . . . . . . . . substitute known values

[tex]FA = \frac{6}{2}[/tex] . . . . . . . . . . . multiply the numerators

[tex]FA = 3[/tex] . . . . . . . . . . . compute

∴ FA = 3

5. If CG = 3.5, find BC

each median is split in the ratio of 2:1each median is split in the ratio of 2:1

So if the median we need to look at is BG,

then BC : CG = 2:1

[tex]\frac{BC}{CG} = \frac{2}{1}[/tex] . . . . . . . . . . create the proportion

[tex]\frac{BC}{3.5} = \frac{2}{1}[/tex] . . . . . . . . . . substitute the known values

[tex]BC = 2(3.5)\\[/tex] . . . . . . . . cross multiply

[tex]BC = 7[/tex] . . . . . . . . . . . . . compute

∴ BC = 7

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The formula for the area of a triangle is A=12bh. Which equation shows the formula solved for h?

Answers

Answer:

h=1/2Ab

Step-by-step explanation:

HELP YOU GUYS THIS IS DUE TODAY AND I WILL MARK BRAINLEST

Answers

The answer is yes since there are no repeating x values.

Step-by-step explanation:

Are you sure has 55 coins in her purse the coins consist of only dimes and quarters the total value of the coins is $10 how many dimes does it should happen how many quarters does Asia have?

Answers

Answer:

40

Step-by-step explanation:

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How is the graph of y=3x^2+3 different from the graph of y=3x^2

Answers

Answer:

Step-by-step explanation:

y=3x^2 has a parabolic graph with its vertex at the origin, (0, 0).

y=3x^2 + 3 has the same graph shape, but its vertex and every other point are 3 units higher (away from the origin) up.

Mrs. Hanover borrows $1,413 at a
rate of 5% per year. How much
Simple Interest will she owe if it
takes her 9 months to repay the
loan? Round your answer to the
nearest cent

Answers

well, let's recall that a year has 12 months, so 9 months is really 9/12 of a year

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$1413\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=years\to \frac{9}{12}\dotfill &\frac{3}{4} \end{cases} \\\\\\ I = (1413)(0.05)(\frac{3}{4}) \implies I = 1413(\frac{3}{80})\implies I\approx 52.99[/tex]

For what value of k does the pair of linear equations 3x +5y 3 6x KY 8 do not have any solution?

Answers

The pair of linear equations 3x + 5y = 3 and 6x + ky = 8 does not have any solution for any value of k.

We can rewrite the equations as:

3x + 5y = 3

6x + ky = 8

To solve this system, we need to eliminate one of the variables. To do this, we can multiply the first equation by 2 and the second equation by -3. This will give us:

6x + 10y = 6

-18x - 3ky = -24

Now we can add the two equations together and get:

-12x - 3ky = -18

Since the coefficient of x is 0, this equation does not have any solution for any value of k.

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Macy has a circular pool with a diameter of 18 feet. If she swims around the pool 4 times, find the distance she will travel.

Answers

Answer:

About 226 feet.

Step-by-step explanation:

C = πd

C = π * 18 = 56.5486678

56.5486678 * 4 = 226.194671

A jar contains $1.70 in ckels, dimes and quarter. There are twenty coins in all with twice as amny nickels as dimes. How many nickels are there in the jar

Answers

American nickels are issued as currency. A value of $1.70 is equal to 10 nickels and 12 dimes ($0.50 + $1.20).

How to find the calculation?

A dime is worth ten cents and a nickel five cents. In other words, one dime is equivalent to two nickels.

In light of this, we might state that a nickel is worth half what a dime is worth.

Despite having a higher value than a nickel, the dime is smaller.

n + d = 22 <— d = 22-n

Amount in pennies: 5n + 10d = 170

5n + 10(22 - n) = 170

5n + 220 - 10n = 170

220 - 5n = 170

220 - 170 - 5n = 0

50 - 5n = 0

50 = 5n

n = 10

A value of $1.70 is equal to 10 nickels and 12 dimes ($0.50 + $1.20).

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You can read 12 pages of a book in 15 minutes.
How many hours will it take you to read a 312-page book?

Answers

It will take you 6.5 hours to read a 312-page book

How many hours will it take you to read a 312-page book?

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

Rate = 12 pages of a book in 15 minutes

This means that

Rate = 12 pages/15 minutes

Convert to per hour

Rate = 12 pages/0.25 hour

Evaluate

Rate = 48 pages per hour

For a 312-page book, we have

Time = 312 pages/48 pages per hour

Evaluate

Time = 6.5 hours

Hence, the time is 6.5 hours

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Brenda received 3 times as many grades as Robert. Timothy received half as many 85s as Brenda. How many grades of 85 did Brenda, Robert, and Timothy receive altogether?

Answers

Answer:

11 grades of 85 did Brenda, Robert, and Timothy receive altogether.

Step-by-step explanation:

Let 6x be the number of 85 received by Brenda.

The number of 85 received by Robert is 1/3 of Brenda= 2x

The number of 85 received by Timothy is 1/2 of Brenda= 3x

Then according to the given conditions

6x+ 2x+ 3x

= 11x

So  the number of total 85s received by all the three is 11.

11 grades of 85 did Brenda, Robert, and Timothy receive altogether.

Hector earns $12 an hour plus a daily per diem of $15. This week he worked 4 days and earned a total of 444. Write an equation to find how many hours
Hector worked this week.
Enter the correct answer in the box.

Answers

Answer:

Step-by-step explanation:

12h + 15(4) = 444

12h + 60 = 444

12h = 444 - 60

12h = 384

h = 384/12

h = 32 <===== Hector worked 32 hrs

Which expression simplifies to
m-2
—— ?
m-1

Answers

C (m ^ 2 - m - 2)/(m ^ 2 - 1)

I keep getting this question wrong. Anyone can help me answer what the answer is?

Answers

I believe it is 4 i hope this is right :/
It’s 4 I did this test hope I helped

On a number line, suppose point E has a coordinate of -3 and EG=4. What are the possible coordinates of point G?

Answers

Answer:

[tex]-1\frac{1}{3}[/tex]

Step-by-step explanation:

We can approach this equation algebraically. Since we know E = -3, we can substitute it into our Second equation, giving us:

-3G = 4

Divide both sides by 3 gives us :

G = [tex]-\frac{4}{3}[/tex]  =  [tex]-1\frac{1}{3}[/tex]

So, the possible coordinate of G is [tex]-1\frac{1}{3}[/tex].

Hope this helped!

"Suppose Dave purchases a puzzle having 650 pieces. Predict the lenght of time it will take him to compleate the puzzle."​

Answers

a) Attached at the end.

b) Strong positive linear correlation.

c) The length of time is 220 minutes.

What is Scatter plot?

A set of dots plotted on a horizontal and vertical axis is known as a scatter plot. Because they can demonstrate the degree of connection, if any, between the values of observed quantities or events, scatter plots are crucial in statistics (called variables).

Given:

a) The Scatter plot Associated with data is attached below.

b) The Scatter plot shows the positive linear correlation between number of pieces in a jigsaw puzzle and time required for a person to complete it.

c) To complete the puzzle with 650 pieces it will take 220 minutes.

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Answer:

a)  See attachment.

b)  Strong positive correlation.

c)  247 minutes

Step-by-step explanation:

Part a

Plot the points from the given table on the given coordinate plane.

Draw a line of best fit.

(See attachment).

Part b

As the line of best fit has a positive gradient, the two variables are positively correlated.

As the line of best fit lies close to most of the points, this indicates there may be a strong correlation.

Part c

To predict the length of time it will take Dave to complete a 650-piece puzzle, locate 650 on the x-axis of the scatter plot, trace up to the line of best fit and read the y-value:

(650, 247)

Therefore, it will take Dave approximately 247 minutes to complete a 650-piece puzzle.

Solve for x: 4 - (x + 2) <-3(x + 4)
OX<-7
Ox>-7
0x=-9
OX-9

Answers

Answer:

X < -7

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

take two identical 30°-60°-90° set squares and form a parellelogram as before. Does this figure obtained help you to confirm the above property?

Answers

Two identical set squares with angles 30-60-90 degree Placed adjacently to form a parallelogram  

HELP ME PLEASE :( I’m confused

Answers

Answer:

11) I haven't done these yet don't go by my answers wait for more responses.

So if TR looks exactly half way from the middle and it says its 11, and if PS is basically two of TR then it would be 22. It looks to me that TR is 11 which is exactly half way I think, and PS looks double of TR so 2 x 11 = 22. Please go by the way you learned i don't know if I'm right.

12) If MK is exactly straight and its 10, half of 10 would be 5. I did half of 10 because L to M looks as if it is 10 already but since its L to the point in the middle that would be half way of the total line from L to M. So L to the point must be 5, MK is already given which is 10 so now we add 5 since L to the point in the middle is half way of 10 which is 5.

10(MK) + 5(L to the point in the middle of the circle) = 15

I don't want to be the one who brings your grades down so do by the way you learned.

If 3,000 bacteria, with a growth constant (k) of 2.8 per hour, are present at the beginning of an experiment, in how many hours will there be 15,000 bacteria?

Answers

Given:

Initial number of bacteria = 3000

With a growth constant (k) of 2.8 per hour.

To find:

The number of hours it will take to be 15,000 bacteria.

Solution:

Let P(t) be the number of bacteria after t number of hours.

The exponential growth model (continuously) is:

[tex]P(t)=P_0e^{kt}[/tex]

Where, [tex]P_0[/tex] is the initial value, k is the growth constant and t is the number of years.

Putting [tex]P(t)=15000,P_0=3000, k=2.8[/tex] in the above formula, we get

[tex]15000=3000e^{2.8t}[/tex]

[tex]\dfrac{15000}{3000}=e^{2.8t}[/tex]

[tex]5=e^{2.8t}[/tex]

Taking ln on both sides, we get

[tex]\ln 5=\ln e^{2.8t}[/tex]

[tex]1.609438=2.8t[/tex]                  [tex][\because \ln e^x=x][/tex]

[tex]\dfrac{1.609438}{2.8}=t[/tex]

[tex]0.574799=t[/tex]

[tex]t\approx 0.575[/tex]

Therefore, the number of bacteria will be 15,000 after 0.575 hours.

Evie practices her violin for exactly
310 minutes each week. On Monday, she
practices twice as long as she does on
Tuesday. On Thursday, she practices the
same number of minutes as Tuesday. On
Saturday, she practices 5 fewer minutes
than three times her Tuesday practice.
How many minutes does Evie practice on
Monday?

Answers

On Monday, Evie practices 2T = 2*45 = 90 minutes.

Define percentage.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Define Fraction.

Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.

Let's call the amount of time Evie practices on Tuesday T.

On Monday, she practices twice as long as she does on Tuesday, so she practices 2T minutes.

On Thursday, she practices the same number of minutes as Tuesday, so she practices T minutes.

On Saturday, she practices 5 fewer minutes than three times her Tuesday practice, so she practices 3T-5 minutes.

We know that Evie practices 310 minutes in total in a week.

So we can set up an equation:

T + 2T + T + 3T-5 = 310

7T-5 = 310

7T = 315

T = 45

On Monday, Evie practices 2T = 2*45 = 90 minutes.

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SHOW WORK 10 POINTS!

Answers

Answer: 57x 38= 2166.  71x38= 2698.      31x25= 775            75x47= 3525        63x59=3717

Step-by-step explanation:

Expand the expression by distributing
-2(-4x-7)

Answers

-2(-4x-7)
Answer:
8x+14

Answer:

8x+14

Step-by-step explanation:

ORIGINAL ANSWERS PLEASE

If the line of best fit is y = 1.18x + 5.4, what is the residual value for the coordinate (2, 8)?

0.24
−0.24
0.46
−0.46

Answers

The residual value of coordinate is 0.24.

what is residual?

A residual is the discrepancy between a data point's actual value and the value predicted by a regression or trend line.

Trend lines provide the approximate shape of the data and display the general shape the data takes. The most precise trend lines are those that best suit the data.

Given equation y = 1.18x + 5.4

and coordinates (2, 8)

y at x = 2

y = 1.18x + 5.4

y = 1.18(2) + 5.4

y = 7.76

residual value = actual y axis value - predicted y axis value

residual value = 8 - 7.76 = 0.24

Hence the residual value is 0.24.

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ESSENTIAL QUESTION CHECK-IN
17. Tell how you can determine whether a number is a solution of an
equation.
324 Unit 4

Answers

Answer:

Step-by-step explanation:

1. Substitute the number for the variable in the equation.

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