What is the surface area of the cube.
A. 409 cm²
B. 2400 cm²
C. 2004 cm²
D. 40 cm²​

The measures of center of the students score are:

Mean = 22

Median = 21

Mode = 21

Measures of center of a data distribution are the mean, median, and mode.

Given the data, 21, 25, 17, 23, 25, 21, 27, 21, 18:

Mean = sum of all data values / number of data values = 198/9 = 22

Median = the middle value in the ordered data set = 21

Mode = the most appeared data value = 21 (appeared 3 times)

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Answer:

[tex]( {x}^{2} - 5)( {x}^{2} + 9) = 0 \\ {x}^{2} - 5 = 0 \: \: \: \: \: \: \: \: {x}^{2} + 9 = 0 \\ {x}^{2} = 5 \: \: \: \: \: \: \: \: {x}^{2} = - 9 \\ x = \sqrt{5} \: \: \: \: \: \: \: \: x = \sqrt{ - 9} [/tex]

Answer:

The scientist would be able to go to the rain forest for only 2 days.

Step-by-step explanation:

The scientist only has 1,283. You subtract 1,283 by 122 and 499 and you are left with 662. The scientist wants to go to the rain forest again so he spends 122 and 499 with 662. All he has left now is 41. He can't afford it anymore.

Answer:

336

Step-by-step explanation:

V=whl=8·7·6=336

The equation for the subtraction of length of AB is -3-(-14)

The distance between two points is the measure of the distance covered by an object.

From the given diagram, we are to find the distance between the point A and B. Since the x-coordinate are equal, hence:

AB = y2 - y1
AB= -3 - (-14)

AB = 11 units

Hence the equation for the subtraction of length of AB is -3-(-14)

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Answer:

  15.  x = 4

  16.  a = 19

Step-by-step explanation:

"Cross multiply" essentially means "multiply both sides of the equation by the product of the denominators."

__

  [tex]\dfrac{x}{6}=\dfrac{2}{3}\\\\3(x)=6(2)\qquad\text{"cross multiply"}\\\\\boxed{x=4}\qquad\text{divide by 3}[/tex]

This is an example of a problem in which cross-multiplying introduces the need for an extra step: divide by 3. Had we simply multiplied by the denominator of the x-term, we would have been finished in one step:

  x = 6(2/3) = 4

That is, rather than multiplying by the product of the denominators, sometimes the problem can be solved more easily if you multiply by their least common multiple.

__

  [tex]\dfrac{a+1}{a+5}=\dfrac{a-4}{a-1}\\\\(a-1)(a+1)=(a+5)(a-4)\qquad\text{"cross multiply"}\\\\a^2-1=a^2+a-20\qquad\text{simplify}\\\\\boxed{19=a}\qquad\text{add $20-a^2$}[/tex]

Answer:

Formula for area of a circle is [tex]\pi[/tex][tex]r^{2}[/tex]

10 squared is 100cm. 100cm*3.14 equals 314cm.

The area of the circle is [tex]314cm^{2}[/tex]

Answer: 19,712

Step-by-step explanation: 2816 times 7 = 19712

Answer:

19,712

________________________________________________________

We learned the four steps to solving a multiplication problem, which can be helpful here, and in the future.

Ask me in the comments box.

Answer:

76 m

Sorry if this answer is not correct, if it is or is not, please tell me in the comments!

Step-by-step explanation:

First of all, we know all of the sides already except for two, so we need to find them. (The side on the very left and top).

The side on the very top is 18 since the top and bottom are the same lengths. This also implies to the side on the very left. The sides (4+4+4) is equivalent to the side we are trying to find. We now know it is 12.

Second, to find the perimeter of almost every shape, we add all of the sides together.

18+4+8+4+8+4+18+12

This gives the answer of 76 m. (don't forget the label!)

Answer:

Answer:

The cross product is 47 i - 61 j + 17 k.

Step-by-step explanation:

Given that-

a = < -1, -3, -8 > , b = < 7, 4, -5 >

The cross product is

a × b =\begin{gathered}\left[\begin{array}{ccc}i&j&k\\-1&-3&-8\\7&4&-5\end{array}\right]\end{gathered}⎣⎢⎡i−17j−34k−8−5⎦⎥⎤

        = i ( - 3 × -5 - 4 × -8 ) - j ( -1 × -5 - (-8) × 7 ) + k ( -1 × 4 - 7 × -3 )

        = i ( 15 + 32 ) -j ×( 5 + 56 ) + k ( -4 + 21 )

        = i ( 47) - j (61 ) + k (17)

        = 47 i -61 j + 17 k

As we know that if two vectors A & B are perpendicular then

A . B = 0

So here only the given vector b = < 7,4, -5> is perpendicular to the resulting vector .

Step-by-step explanation:

47, -61, 71>; yes

Amber did wrong at the second and third step : She completely simplify both sides but she has to minus 3.5 twice on the left side in order to do so. But instead, she just make them gone.

Work :
[tex]2x-3.5\geq 10.5 - > 2x\geq 14 - > x\geq 7[/tex]

The least value of the function at which the pendulum is in the center is 0 and the position of the pendulum when t = 4.25 sec. is 4.24

The function is given as:

y = 6cos(πt)

See attachment for the graph of the function

The value of t is given as: -0.5

From the attached graph, the smallest value of the function when t = -0.5 is 0.

Hence, the least value of the function at which the pendulum is in the center is 0.

We have:

y = 6cos(πt)

Substitute 4.25 for t

y = 6cos(4.25π)

Evaluate

y = 4.24

Hence, the position of the pendulum when t = 4.25 sec. is 4.24

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Read more about cosine function at:

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Answer:

t = 6

next one is 5

Step-by-step explanation:

~Hope this helps! :)

Answer: 24.7 square cm

Step-by-step explanation:

Answer:

C. AB is longer than AC

Step-by-step explanation:

Using the distance formula, find the lengths of both AC and AB.

d=√((x_2-x_1)²+(y_2-y_1)²)

Answer:

state the problem

ask relevant questions

perform an experiment to collect data

compare with the baseline value of the control group

arrive at a logical conclusion

make a hypothesis

Answer:

139

Step-by-step explanation:

14+14+28+33+33+17 = 139

Answer: 150 feet

Step-by-step explanation:

bottom blank = top sides added

bottom blank = 14 + 33 = 47

missing right piece is left side and right side subtracted

missing right piece = 28 - 17 = 11

add all sides

28 + 14 + 11 + 33 + 17 +47 = 150

150 feet = perimeter

Answer: See attached

Step-by-step explanation:

    "Root 9.8" means the square root of 9.8, [tex]\sqrt{9.8}[/tex].

    Since we are being asked to find it on the number line, I am guessing they want us to estimate. We know that the square root of 9, [tex]\sqrt{9}[/tex], is equal to 3. Since 9.8 is slightly bigger than 9, the square root of 9.8 will be a little bit over 3.

   Want to confirm? Using a calculator for the square root of 9.8 gives us 3.13.

Answer:

Air that is moving primarily in a horizontal direction.

Answer:

Wind is the movement of air horizontally.

Answer:

I'd times the first equation by 3 and the second equation by 2. Giving:

6x + 15y = 21

6x + 8y = 12

then I'd subtract the second from the first

6x-6x + 15y-8y = 21-12

7y = 9

y = 7/9

then sub y into one of the equations and solve for x.

Answer:

Step-by-step explanation:

Solving simultanius equation by elimination

2x + 5y = 7 -------------(I)

3x + 4y = 6 ---------------(II)

To eliminate x, multiply equation (I) by (-3) and equation (II) by 2. Then add the two equations. Now, 'x' will be eliminated and we can find the value of 'y'.

(I) *(-3)             -6x  - 15y = -21

(II)*2                 6x +  8y  = 12    {Now add}              

                               - 7y  = -9

                                   y = -9/-7

y = 9/7        

Answer:

14<x<20

Step-by-step explanation:

14<x<20 is your required answer

Answer:

C. 12 feet

Step-by-step explanation:

If a rectangle measures 1 foot by 5 feet, that means that one side is 1 foot and one side is 5 feet. Since a rectangle has two sets of parallel sides, the other sides of the rectangle will also measure 1 foot by 5 feet.

Adding all of the side lengths will give us the perimeter.

1 + 5 + 1 + 5 = 12

hope this helps :)

Answer:

1. don't know what you want for the first one but..

2. x=9

3. y= 8

Step-by-step explanation:

x = 1.5y

ex y=2 x=2

Answer:

225

135

450

270

6750

all the answers

Answer:

A, C

Step-by-step explanation:

Answer:

6x=46.50

Step-by-step explanation:

[tex]\large{\mathcal{QUESTION:}}[/tex]

An elliptical mirror has an eccentricity of 0.8. The mirror is surrounded by a 2-inch wide golden frame and is 34 inches tall including the frame. If a replacement mirror is being cut from a rectangular sheet of glass, what is the minimum dimensions needed for the sheet of glass?

[tex]\large{\mathcal{ANSWER:}}[/tex]

B. 17 inches by 8 inches

The minimum dimensions needed for the sheet of glass are B. 17 inches by 8 inches

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

We are given that elliptical mirror has an eccentricity of 0.8.

Since the mirror is surrounded by a 2-inch wide golden frame and is 34 inches tall including the frame. If a replacement mirror is being cut from a rectangular sheet of glass,

We can conclude that the minimum dimensions needed for the sheet of glass could be;

17 inches by 8 inches

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Answer:

The answer is Sue or B

Step-by-step explanation:

Sue Paid : 0.12 per ounce when divided

Sarah Paid 0.13 per ounce when divided

Answer:

C, Sarah paid less

Step-by-step explanation:

3.84/32 = 0.12

5.20/40 = 0.13

Sarah paid less per ounce.