Mathematics Middle School

3 to the power of n = 81. Pls explain

Answers

Answer 1
n = 4 because [tex] 3^{4} [/tex] equals 3 * 3 * 3 * 3 = 9 * 9 = 81
Answer 2
in this case you would need to divide 81 by 3 to get what n is and 81 divided by 3 is 27

Related Questions

Brian is ordering books online. He has $100 to spend on the books. Each book costs $7. The shipping charge for the entire order is $8. The number of books, b, that Brian can buy is represented by the inequality 7b + 8 < 100. How many books can Brian buy without overspending?
A. 13
B. 15
C. 18
D. 20

whats the answer ????

Answers

Answer:13

Step-by-step explanation:

SOS!!!!!!! HELP!!!!!!!!!!!!!         Drink Soda Does Not Drink Soda
                                               Play Video Games 13 7
                                               Does Not Play Video Games 6 4
Jordan interviewed her 30 classmates on whether or not they played video games and if they drink soda. She displayed her results in the two-way table shown. Which statement is true? A) A classmate who drinks soda is more likely to play video games. B) A classmate who plays video games is not as likely to drink soda. C) About the same percentage of students play video games as those who don't drink soda. D) It is twice as likely that a student doesn't play video games nor drink soda as one who plays video games and drinks soda.

Answers

the answer might be D. hope this helped :)
I think it's D. Not positive though.

Giving 40 Points...need help as soon as possible

Answers

The correct answers are:

The first system matches with (-4, 5);
The second system matches with (2, 2); 
The third system matches with (-1, -3);
The fourth system matches with (3, 4);
The fifth system matches with (2, -1); and 
The sixth system matches with (-5, 6).

Explanation:

The sixth system is the easiest one to find.  We are given the value of x and the value of y in the equations: x=-5 and y=6.

For all other systems, we must solve the system.  For the first system:
[tex] \left \{ {{2x-y=-13} \atop {y=x+9}} \right. [/tex]

Since we have the y-variable isolated in the second equation, we will use substitution.  We substitute this value in place of y in the first equation:
2x-y=-13
2x-(x+9)=-13

Distributing the subtraction sign,
2x-x-9=-13

Combining like terms:
x-9=-13

Add 9 to each side:
x-9+9=-13+9
x=-4

Substitute this into the second equation:
y=x+9
y=-4+9
y=5

The coordinates (-4, 5) represent the solution point.

For the second system:
[tex] \left \{ {{3x+2y=10} \atop {6x-y=10}} \right. [/tex]

We can make the coefficients of x the same and use elimination.  To do this, we will multiply the first equation by 2:
[tex] \left \{ {{2(3x+2y=10)} \atop {6x-y=10}} \right. \\ \\ \left \{ {{6x+4y=20} 
\atop {6x-y=10}} \right. [/tex]

Since the coefficients of x are now the same, we can cancel it.  They are both positive, so we subtract:
[tex] \left \{ {{6x+4y=20} \atop {-(6x-y=10)}} \right. \\ \\5y=10[/tex]

Divide both sides by 5:
5y/5=10/5
y=2

Substitute this into the second equation
6x-y=10
6x-2=10

Add 2 to each side:
6x-2+2=10+2
6x=12

Divide both sides by 6:
6x/6 = 12/6
x=2

The coordinates (2, 2) represent the solution to this system.

For the third system:
[tex] \left \{ {{4x-3y=5} \atop {3x+2y=-9}} \right. [/tex]

We can make the coefficients of x the same by multiplying the first equation by 3 and the second by 4:
[tex] \left \{ {{3(4x-3y=5)} \atop {4(3x+2y=-9)}} \right. \\ \\ \left \{ {{12x-9y=15} \atop {12x+8y=-36}} \right. [/tex]

Since the coefficients of x are the same, we can cancel them.  Since they are both positive, we will subtract:
[tex] \left \{ {{12x-9y=15} \atop {-(12x+8y=-36)}} \right. \\ \\-17y=51[/tex]

Divide both sides by -17:
-17y/-17 = 51/-17
y=-3

Substitute this into the first equation:
4x-3y=5
4x-3(-3)=5
4x--9=5
4x+9=5

Subtract 9 from each side:
4x+9-9=5-9
4x=-4

Divide each side by 4:
4x/4 = -4/4
x=-1

The coordinates (-1, -3) represent the solution of the third system..

For the fourth system:
[tex] \left \{ {{x+y=7} \atop {x-y=-1}} \right. [/tex]

Since the coordinates of x are the same and both are positive, we can cancel x by subtracting:
[tex] \left \{ {{x+y=7} \atop {-(x-y=-1)}} \right. \\ \\2y=8[/tex]

Divide both sides by 2:
2y/2 = 8/2
y=4

Substitute this into the first equation
x+y=7
x+4=7

Subtract 4 from each side:
x+4-4=7-4
x=3

The coordinates (3, 4) represent the solution to the fourth system.

For the fifth system:
[tex] \left \{ {{y=3x-7} \atop {y=2x-5}} \right. [/tex]

Since y is isolated in each equation, we can set them equation to each other:
3x-7=2x-5

Subtract 2x from each side:
3x-7-2x=2x-5-2x
x-7=-5

Add 7 to each side:
x-7+7=-5+7
x=2

Substitute this into the first equation:
y=3x-7
y=3(2)-7
y=6-7
y=-1

The coordinates (2, -1) represent the solution to the fifth system.

Can someone help me math homework

Answers

We fill in the following formula:
[tex] \frac{part}{total} \times 100\%[/tex]

So in this case we get
[tex] \frac{17}{20} \times 100\% = 85\%[/tex]

Therefore the answer is 85%
17 divided 20 = 0.85
85%

What is the exact volume of the cone?

40π cm³
803π cm³
1603π cm³
160π cm³

Outline of cone with dotted line rising from middle of base to the point. Line is labeled ten centimeters. A second dotted line extends horizontally from middle of base to its edge. Line is labeled four centimeters.

Answers

Answer:

it is c

Step-by-step explanation:

The exact volume of the cone in which the outline of cone with dotted line rising from middle of base to the point is 160/3π cm³.

What is of volume of solid?

Volume of solid is the amount of quantity, which is obtained by the solid or object in the 3 dimensional space.

The volume of the cone can be given with the following formula as,

[tex]V=\dfrac{\pi r^2 h}{3}[/tex]

Here, (r) is the radius of the base of the cone and (h) is the height of the cone.

The image of the cone, whose volume has to be find out, is attached below.

The height of the cone is 10 cm long and the radius is 4 cm long. Thus put these values in the above formula as,

[tex]V=\dfrac{\pi (4)^2 (10)}{3}\\V=\dfrac{160}{3}\pi \;\;\tm cm^3[/tex]

Hence, the exact volume of the cone in which the outline of cone with dotted line rising from middle of base to the point is 160/3π cm³.

Learn more about the volume of solid here;

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The carnival owner pays the owner of an exotic animal exhibit $650 for the entire time the exhibit is displayed. The owner of the exhibit has no other expenses except for a daily insurance cost. If the owner of the animal exhibit wants to make more than $500 in profit for the 5 1/2 days, what is the greatest daily insurance rate he can afford to pay?

Answers

  650 - 5.5i > 500                i = insurance
-650          >-650
-----------------------
  -5.5i  > -150
  -5.5      -5.5
---------------------
   i < 27.27                the maximum daily cost that the owner can pay for                                            insurance is $27.27

**ANSWER ASAP**
(will give brainliest to best answer)

How does Pythagorean theorem work?

Answers

it is the formula to find the longest line on a right triangle. for example, a squared plus b squared equals c squared. In this case, c must always be the line not relating to the right angel.
A square + B square = C square

HHEELLPPL PLLEAASEE !!!! I GIVE BRAINLIEST!!!

Answers

Asked and answered elsewhere.
https://brainly.com/question/9269467
Answer:
y-intercept is 10
slope of line is 7

Explanation:
The general form of the linear equation is:
y = mx + c
where:
m is the slope
c is the y-intercept

Now, the given equation is:
y = 7x + 10

Comparing the given equation with the general form, we will find that:
m = 7 .............> This means that the slope of the line is 7
c = 10 ............> This means that the y-intercept is 10

Now, the y-intercept here means that the initial number of points at time = 0 (x=0) is 10 points.

The slope here means that the rate increases by 7 points each second

Hope this helps :)

A plane traveled 972 miles to Berlin and back. The trip there was with the wind. It took 9 hours. The trip back was into the wind. The trip back took 18 hours. Find the speed of the plane in still air and the speed of the wind

Answers

With the wind, the plane's speed was (972 mi)/(9 h) = 108 mi/h.
Against the wind, the plane's speed was (972 mi)/(18 h) = 54 mi/h.

The speed of the plane in still air is the average of these speeds, 81 mi/h.
The speed of the wind is half the difference of the trip speeds, 27 mi/h.

What is (-98.6) divided by (3.8)

Answers

The answer is -25.9473684.

Have a brainy day!

PLEASE HELP.

There is a 40% chance that you will lose $25,000 if you invest...

Answers

This is a weighted average basically take the percentages and multiply them by the amount.  The total sum is the amount you will make.

0.4(-25000) + 0.25(0) + 0.35(40000)
-10000 + 0 + 14000
4000 is the expected value

Eight less than the product of two and a number X

Answers

The product of two and a number x

2x

eight less than implies:

2x - 8

2x - 8 is your answer

hope this helps
2x-8
2 times x minus 3

help me.................

Answers

I think it would be letter D
A of a cylinder is 
A=2 pi r(r+h) and we have r=4
96*3.14= 2*3.14*4(4+h) divide by pi
96=2*4(4+h)
96=8(4+h)
96=32+8h
96-32=8h
64=8h
h=8

What is the arc measure of D C in degrees

Answers

Hello there!

Sense this is a 360 degree angle, it is divide by 2. This would then be considered 180. If you (noticed) on the other side, it shows us that . . .

[tex]AB=19 \\ and \ AB=CD[/tex]

We then do (180-19)

[tex]DC= \ \boxed{161}[/tex]

Liam has 2 quarts of apple juice he wants to pour the juice into 1/5 quart servings how many servings can Liam pour

Answers

The answer would be 10.
You would divide 2 divided by 1/5.
KCFS
2 x 5/1 = 10 servings

Solve for x in the diagram.



       A. 25   B. 37   C. 15   D. 14

Answers

Use the Pythagorean theorem for this. (a^2+b^2=c^2)

a=9, b=12, c=x

9^2+12^2=c^2
81 + 144 = c^2
225 = c^2
c =15 

the answer is c



The value of the hypotenuse x is equal to 12 units.

What is the Pythagorean theorem?

Pythagorean theorem states that in the right angle triangle, the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

Use the Pythagorean theorem for this. (a^2+b^2=c^2)

a=9, b=12, c=x

The value of x will be calculated as,

a² + b² = c²

9²+12²=x²

81 + 144 = x²

225 = x²

x =15

Therefore, the measure of x is 15 units.

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On a coordinate plane, the coordinates of vertices R and T for a polygon are R(−6, 2) and T(5, 2). What is the length of Side RT of the polygon?

4 unit
6 units
7 units
11 units

Answers

they are both on the 2 of the y-axis, so now all you have to do is subrtact the x-axis coordinate of R by the x-axis coordinate of T. That would be (-6)-5 = -11. YOUR ANSWER IS NOT -11. Signs don't matter when your attempting to find distance. Just forget the negative sign(-). It has nothing to do with the answer.
YOUR ANSWER IS 11 UNITS!!!

When two coordinates are given and asked to find distance between those points or length of line segment made by joining those points, then you can use the distance formula for 2 dimension.

The length of RT is given by:

Option D: 11

Given that:A side of a polygon is named RTThe endpoints of RT are R(-6, 2) and T(5, 2).To find:

Length of RT

Formula of distance between two points (x,y) and (p,q) is given by:

[tex]\text{Distance((x,y), (p,q))} = \sqrt{(x-p)^2 + (y-q)^2}[/tex]

Thus, we have:

[tex]|RT| = \sqrt{(-6-5)^2 + (2-2)^2} = 11 \: \rm units[/tex]

Thus,  the length of RT is given by:

Option D: 11

Learn more about length of a straight line segment here:

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im need HELP!!!
m<JEF=40°

Answers

complement of JEF is 50 degrees
supplement of JEF is 140 degrees

complement of DON is -34 degrees or depending on your teacher, the answer is NONE.
supplement of DON is 56 degrees

Answer:JEF has a 50 degree complement

140 degrees is the supply of JEF

If your teacher says NONE, then the complement of DON is -34 degrees.

DON is 56 degrees when supplemented

Brian read 8 I/4 pages of a book in 1/6 hour at this rate what is the total number of pages of the book he will read in 1 hour

Answers

49 1/2 pages in one hour. 8 1/4 divided by 1/6 is equal to 8 1/4 * 1/6, which is
49 1/2

3y-6=-18 what does y equal

Answers

Move all terms that don't contain y to the right side and solve.

y = -4
Y= -4 multiply -4 by 3 and subtract 6

Marvin lives in Stormwind City and works as an engineer in the city of Ironforge. In the morning, he has 3 transportation options (teleport, ride a dragon, or walk) to work, and in the evening he has the same 3 choices for his trip home. If Marvin randomly chooses his method of travel in the morning and in the evening, what is the probability that he teleports at least once per day?

Answers

Answer:

The probability is [tex]P=\frac{5}{9}[/tex]

Step-by-step explanation:

Marvin has to randomly choose between 3 transport options.

Since the choice is random, then the probability of choosing any of the three options is the same.

The probability of teleportation in the first attempt is:

[tex]P_t = \frac{1}{3}[/tex]

So, the probability that you do not teleport is

[tex]q = 1-p\\\\q = 1-\frac{1}{3}\\\\q = \frac{2}{3}[/tex]

The probability that Marvin does not teleport when going to work and Marvin does not teleport when he returns from work is:

[tex]P = \frac{2}{3} * \frac{2}{3}\\\\P = \frac{4}{9}.[/tex]

Therefore the probability of teleportation at least once is:

[tex]P= 1-\frac{4}{9}\\\\P = \frac{5}{9}[/tex]

The graph of a function is a line that passes through the points (1,4)(1,4), (3,8)(3,8), and (6,y)(6,y). What is the value of y?

Answers

Look at the exponential growth while doing this problem
Y=16
Hope this helped!
Look at the given y-values:

4 and 8.

2 x 2 = 4

4 x 2 = 8

8 x 2 = ??? = y

Monte performs an experiment using 2 identical graduated cylinders, each with a radius of 2 cm. The volume of the liquid in the first graduated cylinder is 188.4 cm³. The volume of the liquid in the second graduated cylinder is 314 cm³. What is the difference in the height of the liquid in the two cylinders? Use 3.14 to approximate pi. Enter your answer in the box.

Answers

The difference in volume is 125.6 cm^3, so the difference in height will be
.. 125.6 cm^3/(3.14*(2 cm)^2) = 10 cm

A farmer in china discovers a mammal hide that contains 54% of its original amount of c-14. Find the age of the mammal hide to the nearest year

Answers

Final answer:

The age of the mammal hide can be determined by using carbon-14 dating. By comparing the remaining amount of carbon-14 to the initial amount and knowing the half-life of carbon-14, the age of the hide can be calculated. In this case, the hide is approximately 778 years old.

Explanation:

The age of the mammal hide can be determined using carbon-14 dating. Carbon-14 (or C-14) is an isotope that is present in all living organisms. When an organism dies, the amount of C-14 in its remains begins to decay.

Based on the information provided, the mammal hide contains 54% of its original amount of C-14. Knowing that the half-life of C-14 is 5,730 years, we can calculate the age of the hide.

To do this, we can set up the following equation: Remaining amount of C-14 = Initial amount of C-14 × (0.5)^(number of half-lives)

Since the hide contains 54% of its original amount of C-14, the remaining amount is 0.54 times the initial amount.

By substituting the known values into the equation, we can solve for the number of half-lives:

0.54 × Initial amount of C-14 = Initial amount of C-14 × (0.5)^(number of half-lives)

Dividing both sides of the equation by the initial amount of C-14 and taking the logarithm of both sides, we can find the number of half-lives:

ln(0.54) = number of half-lives × ln(0.5)

Using a logarithmic calculator, we find that the number of half-lives is approximately 0.136.

Since each half-life spans 5,730 years, we can calculate the age of the hide:

Age of hide = Number of half-lives × Half-life duration

Age of hide = 0.136 × 5,730 years

Therefore, the age of the mammal hide is approximately 778 years.

Answer: 5621

Step-by-step explanation:

i did it

A store manager is looking at past jewelry sales to determine what sizes of rings to keep in stock. The list shows the ring sizes purchased by the last ten jewelry customers.
9, 7, 6.5, 7.5, 7, 8, 5, 6, 7.5, 8
What is the variance of the data? Round to the nearest hundredths.
0.40
0.72
1.28
2.14

Answers

i think its 1.28 but 2.14 is close to

Answer:

1.28

Step-by-step explanation:

The variance is found by first finding the mean; the mean of this data set is 7.15.

Next we find the difference between each data point and the mean; square the differences; find the sum; and divide by the number of data point (10).  Following these steps gives us the rounded answer 1.28.

Name the factors in each of the following problems.
a. 6 × 12 = 72
b. 8 × 9 = 72
c. 4 × 4 = 16
d. 3 × 7 = 21

I don't understand what "factors" mean, please help. :)

Answers

factors are numbers we can multiply together to get another number
example:2 and 3 are factors of 6 because you multiply 2x3.A number can have a lot factors many.

HALPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

the correct answer is C

A right rectangular pyramid is sliced parallel to the base, as shown.

What is the area of the resulting two-dimensional cross-section?


A. 15 cm²

B. 18 cm²

C. 25 cm²

D. 50 cm²

Answers

The answer is 110. I took this before. So I know a few of the questions.

the string, that supports the stairs, makes an angle of 50° with the floor. It reaches 3.2 m up the wall. How far is the base od the stringer from the wall?

Answers

Greetings,

The best way to do these problems is to draw a picture. In this case, you would have a right triangle. I included a picture.

If we use the 54 degree angles as our angle of reference, we are dealing with the opposite side and adjacent side. This makes it a tangent ratio.

We can set up the equation:
tan 54 = 3.2/x
1.19 = 3.2/x    Cross Multiply
1.19x = 3.2     Divide by 1.19
x = 2.69

The base of the stringer is 2.69 m from the wall.

I hope this helps,
MrEQ
Final answer:

We use trigonometry to find the distance from the base of the string to the wall. The cosine of an angle in a right triangle is defined as the adjacent side length divided by the hypotenuse length. You can plug the given values into the rearranged formula and solve it.

Explanation:

The question is asking about the distance from the base of the string (the part that touches the floor) to the wall. This is a typical trigonometry problem. We know that the string forms an angle of 50° with the floor and that it stretches up to 3.2 m on the wall. Given these values, we can use the cosine function to find the distance between the base of the string and the wall.

The cosine of an angle in a right triangle is defined as the adjacent side length divided by the length of the hypotenuse. In our case, you can think of the 3.2 m wall height as the 'adjacent' and the string length as the 'hypotenuse'. So, we can rearrange this relationship to solve for the base, or 'hypotenuse', of the triangle:

Length of string (hypotenuse) = Adjacent side / cos(angle)

Plugging in the values we know:

Length of string = 3.2 m / cos(50°)

After that, you can plug the numbers into a calculator to find the value in meters of the distance from the base of the string to the wall.

Learn more about Trigonometry here:

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what is the solution to the linear system of equations ? x - y =4 8x + 2y =2 A. (4,0) B. (1, -3) C. (1,3) D.The system has no solution
NEED HELP ASAP , PLEASEEEEEE

Answers

HELLO...!!

[tex]\begin{cases}&x-y=4\quad\Longrightarrow\text{Eq. 1}\\&8x+2y=2\quad\Longrightarrow\text{Eq. 2}\end{cases}[/tex]

[tex]x=4+y\\ \\ \\\underline{\textbf{Add\ "x"\ in\ Eq.\ 2:}}\\ \\8(4+y)+2y=2\\ \\32+8y+2y=2\\ \\10y+32=2\\ \\10y=2-32\\ \\10y=30\\ \\y=- \dfrac{30}{10}\\ \\y=-3\quad\checkmark\\ \\ \\\underline{\textbf{Add\ "y"\ in\ Eq.\ 1:}}\\ \\x-(-3)=4\\ \\x+3=4\\ \\x=4-3\\ \\x=1\quad\checkmark\\ \\ \\\mathbb{ANSWER\ (B):}\ \Longrightarrow\boxed{\boxed{\textbf{x=1\ ;\ y=\ -3}}}\\ \\ \\\textbf{HOPE\ THIS\ HELPS...!!}[/tex]
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