3 to the power of 5 equals 243. Explain how to use that fact to quicky evaluate 3 to the power of 6.

3 To The Power Of 5 Equals 243. Explain How To Use That Fact To Quicky Evaluate 3 To The Power Of 6.

Answers

Answer 1

Answer:

3^6 = 729

Step-by-step explanation:

3 to the power of 5 equals 243. Explain how to use that fact to quickly evaluate 3 to the power of 6  

Symbolically, we have:

3^5 = 243 (given)

Multiplying both sides by 3, we get:

3^6 = 3(243)

If you want to take this further, multiply 3(243):  3^6 = 729

Answer 2

The value of [tex]3^6[/tex] is 729.

Important information:

[tex]3^5=243[/tex]Exponents:

We need to find the value of [tex]3^6[/tex].

Using the rules of exponents, we get

[tex]3^6=3^{5+1}[/tex]

[tex]3^6=3^{5}*3^{1}[/tex]          [tex][\because a^{m+n}=a^ma^n][/tex]

[tex]3^6=243*3[/tex]

[tex]3^6=729[/tex]

Therefore, the value of [tex]3^6[/tex] is 729.

Find out more about 'Exponents' here:

https://brainly.com/question/14404700


Related Questions

Jemma has 24 balls. Out of the 24 balls, 12 are yellow, 4 are pink, and the rest are red. What is the ratio of the number of red balls to the number of balls that are either yellow or pink? arrowRight

Answers

Answer:

1  :2

Step-by-step explanation:

12 are yellow, 4 are pink

To find the number of red

24 -12 -4 = 8

There are 8 red balls

We want the ratio of

red: yellow or pink

8 : 12+4

8 :16

Divide each side by 8

8/8 : 16/8

1  :2

Answer:1:2

Step-by-step explanation: 12 yellow + 4 pink= 16

24 balls total minus 16 =8 red balls so 8:16=1:2

Please Help ;-;" :Mr. Gordon’s science class is studying blood types. The table below shows the probability that a person living in the US has a particular blood type. ( Type 0=9/20) (Type A=41/100) (Type B=1/10) (Type AB=1/25) What is the probability that three students selected randomly from the class will have A, B, and AB blood, respectively? Explain how you would solve this problem.

Answers

Answer:

A = 6.9%

B = 0.1%

AB = 1.6%

Step-by-step explanation:

A=0.41=41/100

B=0.1=1/10

AB=0.25=1/25

41/100³ = 0.41³ = 0.069 = 6.9%

1/10³ = 0.1³ = 0.001 = 0.1%

1/25³= 0.25³ =0.016 = 1.6%

I did to the power of 3 because the equation just looks like this

41/100 x 41/100 x 4/100

this is because you are multiplying each number by the amount of students selected.

What is the value of f(1)?

Answers

Answer:

A function normally tells you what y is if you know what x is.

Inverses. A function normally tells you what y is if you know what x is. The inverse of a function will tell you what x had to be to get that value of y. A function f -1 is the inverse of f if. for every x in the domain of f, f -1[f(x)] = x, and.

I need help ASAP!! I have no idea how to do this and what side does it mean when it says other side??!

Answers

First you have to know what reflection is, it is when you grace the dots as if it were a reflection. Like how it would look when you are looking at yourself in a lake, or pool. You have to take ABC and graph it normally on one side of the line, and the draw the same thing on the other side of the line. I am sorry if this is confusing.

Answer:

1 point should be located before 4 points below C.

1 point should be located before 4 points above B.

1 point should be located at point A.

5. The cost of movie tickets at the
Cinema Verite is 9 dollars for adults
and five dollars for children under 12.
During the Saturday and Sunday
matinees, adults are charged 8 dollars
for admission and children under 12
are charged 4 dollars. At any time at
all, there is a group discount for groups
of 15 or more adults at a cost of 6
dollars per ticket. What is the cost for 2
adults and 3 children during the
Saturday matinee?
a. 27
b. 28
C. 14
d. 32

Answers

Answer:

its 28 dude, because it says that adults and children are played more on saturday.(adults on Saturday=$8 and children under 12 are $4

B because more adults and children played on saturday.

A solid hemisphere has volume 230cm^3. (a) Calculate the radius of the hemisphere. [The volume, V, of a sphere with radius r is V = 4 /3 = π r^3 .]

Answers

Answer:

[tex]\huge\boxed{r = 4.8\ cm}[/tex]

Step-by-step explanation:

Since it's a hemisphere, the volume will be:

Volume of Hemisphere = [tex]\frac{2}{3} \pi r^3[/tex]

Given that Volume of hemisphere = 230 cm³

230 = [tex]\frac{2}{3} \pi r^3[/tex]

Multiplying both sides by 3

230 * 3 = 2πr³

690 = 2πr³

Dividing both sides by 2π

690 / 2π = r³

r³ = 109.8

Taking cube root on both sides

r = 4.8 cm

Answer:

[tex]\large \boxed{\mathrm{4.79 \ cm}}[/tex]

Step-by-step explanation:

The volume of a hemisphere is half the volume of a sphere.

The formula for the volume of hemisphere is V = 2/3πr³.

The volume is given.

230 = 2/3πr³

Solve for r or radius.

Multiply both sides by 3/2.

230 × 3/2 = 2/3πr³ × 3/2

345 = πr³

Divide both sides by π.

(345)/π = (πr³)/π

109.816910733 = r³

Take the cube root of both sides.

∛(109.816910733) = ∛(r³)

4.78876002459 = r

a 20-foot flagpole casts a 6-foot Shadow how tall is a nearby building that casts a 30-foot shadow

Answers

The building would be 100ft tall. You have to take 20/6 = ?/30 The difference between 6 and 30 is x5. Then all you have to do is 20x5 and you get 100ft.

Answer :

The building would be 100ft tall. You have to take 20/6 = ?/30 The difference between 6 and 30 is x5. Then all you have to do is 20x5 and you get 100ft.

A cylinder has a height of 4.5 cm and a diameter of 1.5 cm. What is the surface area of the cylinder in square centimeters? Use 3.14 for pi. A.21.2 B.24.7 C.7.9 D.31.8

Answers

Answer:

A = 56.5cm²

Step-by-step explanation:

r = 1.5cm

h = 4.5cm

A=2πrh+2πr2

A = 2πr(h+r)

A = 2 x 3.14 x 1.5 x ( 4.5 + 1.5 )

A = 56.62cm²

[tex] \large{ \underline{ \underline{ \bf{ \red{Given}}}}}[/tex]

Height of the cylinder = 4.5 cmDiameter of the cylinder = 1.5 cmConsider π = 3.14

[tex] \large{ \underline{ \underline{ \bf{ \purple{To \: find}}}}}[/tex]

Surface area of the cylinder in cm²?

[tex] \large{ \underline{ \underline{ \bf{ \green{Now, \: What \: to \: do?}}}}}[/tex]

For solving this question, we should know how to calculate the surface area of cylinder i.e Total surface are of cylinder = 2πr(r + h)

Where, r = radius of the cylinder and h is the height of the cylinder.

[tex] \large{ \bf{ \underline{ \underline{ \blue{Solution}}}}}[/tex]

We are provided with,

h = 4.5 cmd = 1.5 cm

Then, Radius = 1.5 cm / 2

By using formula,

⇛ 2πr(r + h)

⇛ 2 × 3.14 × 1.5/2 (1.5/2 + 4.5) cm²

⇛ 2 × 3.14 × 3/4( 5.25) cm²

24.7275 cm²

❇ Option B

✤ TSA of the cylinder = 24.7275 cm²

━━━━━━━━━━━━━━━━━━━━

What’s the mass of a liquid if its density is 0.95 G/ml and its volume is 200 ml

Answers

Answer:

190 g

Step-by-step explanation:

Mass     =Density

Volume

Let the mass be x.

x/200=0.95

x=200 x 0.95

x =  190 g

Thank you!

the answer would be 100 g

Solve the equation using the multiplication property of equality and the reciprocal of
1
4
.

1
4
( r −
5
2
) =
1
8

Answers

The answer is r=52.09

Find the total surface area of this square based
pyramid.
10 in
5 in

Answers

Answer:

  125 in²

Step-by-step explanation:

Each triangular face has a base of 5 in and a height of 10 in. The area of it is given by the formula ...

  A = (1/2)bh

  A = (1/2)(5 in)(10 in) = 25 in²

The square base has an area given by the formula ...

  A = s² . . . . . where s is the side length

  A = (5 in)² = 25 in²

The total area is the sum of the areas of the 4 faces and the base:

  total area = 4 × (area of 1 face) + (area of base)

  total area = 4 × (25 in²) + 25 in²

  total area = 125 in²

Answer: The Surface Area is 125 in^

Step-by-step explanation:

Surface area = 4 × (area of 1 face) + (area of base)

total area = 4 × (25 in²) + 25 in²

Surface area = 125 in²

Drag each object to show whether distance is proportional to time in the situation represented.

Answers

Answer: please find the answer in the explanation.

Step-by-step explanation:

1.) The distance is not proportional to time. Because the distance was constant from time = 3 seconds to 10 seconds.

2.) A person running down a field to score a touchdown. Not enough information.

3. A dog jogging at a constant speed for 20 minute. The distance is proportional to time because of the constant speed.

4.) The distance is proportional to time because their is increase in distance covered and increase in time taken.

5.) A truck passing through the 4 cities at a constant speed. The distance is proportional to time because the speed is constant.

6.) A horse running around a race track. Distance is not proportional to time because this is not a linear motion.

A shipping container in the shape of a rectangular prism is 60 feet long, 45 1/2 feet wide, and 14 feet tall. What is the volume of the shipping container? A. 2,400 ft.^3 B. 2,730 ft.^3 C. 38.220 ft.^3 D. 76,440 ft.^3 Please include work!!

Answers

C. 38,200 ft^3

Why you ask? Good question, how you solve volume is l•w•h=v (length•width•height=volume) so it was 60•45.5•14=38,200

Hope this helps!

The answer is 38,220.
You multiply the width, height, and length.
Width= 45 1/2
Height= 14
Length= 60

45 1/2•14•60= 38,220

what is the first step to solving this problem: 3x-10=2(x+3)

Answers

Answer:

x = 16

Step-by-step explanation:

3x - 10 = 2(x+3)

First step is solve this:

2(x+3) = 2*x + 2*3 = 2x + 6

then:

3x - 10 = 2x + 6

3x - 2x = 6 + 10

x = 16

Check:

3*16 - 10 = 2(16+3)

48 - 10 = 2*19 = 38

Answer:

x = 16

Step-by-step explanation:

you start off by isolating the variable

Please help me with this!!!

Answers

Answer:

(f•g)(2)=3 and (g•f)(6)=7

Step-by-step explanation:

look at the tables

where x is equal to both 2 and 7 is where you will find your answer

Hope this helps you!

I agree with the other person ;)

Please someone help me

Answers

Answer:

r = 0.046212737

Step-by-step explanation:

A = 14,400 (what your investment originally is)

P = 7,200 (what you want your investment to be)

n = 365 (interest is compounded daily)

t = 15 (15 years)

Plug all of these numbers into the equation, then solve for r

14,400 = 7,200(1 + r/365)^365 · 15

Divide 7,200 on both sides --> 2 = (1 + r/365)^365 · 15

365 · 15 = 5475 --> 2 = (1 + r/365)^5475

5475√(2) = 1 + r/365 (root 5475 both sides to cancel out the exponent)

(5475√(2)) - 1 = r/365 (subtract one from both sides)

((5475√(2)) - 1) · 365 = r (multiply both sides by 365 to isolate r)

Type the left side into the calculator to get r --> 0.046212737.

Hope this helps!

Shorter way
The answer is r= 0.046212737

Use a number line to approximate the value of root 33

Answers

Let's think about the square root of 33 here for a second.

What two perfect squares surround 33?

The answer is 25 and 36.

Then, let's take the square root of both 25 and 36, which are 5 and 6. Therefore, since the square root of 25 and 36 are both nearest to the square root of 33, then the square root of 3 must be between 5 and 6.

The correct answer is A (or option 1): 5 < root 33 < 6

Hope this helps! :)

Answer:

a (the first choice)

Step-by-step explanation:

To start, you should think of square root values near 33 that you know the answer to. For example, the square root of 25 is 5, and the square root of 36 is 6. Therefore, you know that the square root of 33 is 5.something because it is in between 25 and 36.

Find all points having an x- coordinator of 5 whose distance from the point (-1,-3) is 10. (type an ordered pair. Use a comma to separate answers as needed.)

Answers

Answer:

(5,5) and (5,-11)

Step-by-step explanation:

You can find this out by plotting a circle with the diameter of 10 on the point "(-1,-3)". Then find all the times the circle is on the x axis of 5.

Answer:

so when the mughal emperor humayun had died akbar his son was put as kind of india he was 10 yearls old when his father died and then Bairam Khan was elected as a regent for Akbar.

Step-by-step explanation:

Find the surface area and volume of the following figures.

Answers

White figure Area = 128[tex]\pi[/tex]

White surface area = appro. 301

Yellow area = 320[tex]\pi[/tex]

Yellow Surface area = approx. 653

Area found with = 2πrh+2πr2

Surface Area found with = 2πrh+2πr2

You need to memorize them for tests

Hope that helped!!! k

There a hinded message Jeff

d) Use your knowledge of scale drawings and image sizes to fill in the missing
information in the table. (3 points)
Empire State Building
Original
Image
Actual Height
(in feet)
1,450
1,450
1,450
Reduced
Image
Model Height
(in blocks)
145
1
1
Scale Factor
25
50

Answers

Answer:

  Your table is filled in below.

Step-by-step explanation:

The scale factor is the ratio of image size to original size. In part (d), the image height is "blocks" while the original height is "feet". So, the units of the scale factor are "blocks/ft".

Sometimes a scale factor has units, like this, and sometimes it is expressed as a pure number. A map scale factor might be the pure number ratio 1 : 62500, or it could also be expressed with units as 1 in : 1 mile.*

__

* actually, these are slightly different scales. 1:62500 is about 0.98643 inches per mile.

Answer: Image

Step-by-step explanation:

took the test

Find the lateral area of this cone

Answers

The answer is 233.5in^2
233.5^2 is most definitely the answer.

I know how to do it but right now I'm cooking and have no time please say if the first part is right and the second part will be much appreciated!

Answers

Part A is correct. We have x+15 as the length and x+3 as the width. Convention usually has the width be the smaller of the two.

------------------

Part B will have you replace x with 8 and simplify

length = x+15 = 8+15 = 23

width = x+3 = 8+3 = 11

the rectangle is 23 yards by 11 yards, so the area is 23*11 = 253 square yards

Answer:

Below

Step-by-step explanation:

As we see the area is expressed as second degree polynomial

We have already a side wich is (x+15)

● x^2 +18x + 45 = w × (x+15)

● w = (x^2 +18x+45)/(x+15)

Using the eucledian division we get:

● w = x+3

Since x^2 +18x +45 = (x+15) × (x+3)

So your answer was right

■■■■■■■■■■■■■■■■■■■■■■■■■■

Let's calculate the dimensions if x= 8 yards

● the length

x+15 = 8+15 = 23 yards

● the width

x+3 = 8 + 3 = 11 yards

● the area

(x+15)×(x+3) = 23 × 11 = 253 yards^2

Plzz help I’ll mark brainliest

Answers

Answer:

6cot 50

Step-by-step explanation:

Tan 50=6/x

x= 6/(tan 50)

x= 6cot 50°

Answer:

? = 6 cot 50

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp /adj

tan 50 = 6 /?

? tan 50 = 6

? = 6 / tan 50

We know that 1 / tan 50 = cot 50

? = 6 cot 50

Determine what type of model best fits the given situation: The height of a tree twenty feet tall increases by 2 feet per year.

Answers

Answer:

linear model

Step-by-step explanation:

This is a linear function.  The initial value is 20 ft, and the yearly growth is 2ft/yr.  Thus, the function is

height(t) = (20 ft) + (2 ft/yr)t, where t is the number of years.

What does y equal -3=15+4y

Answers

Answer:

-3 = 15+4y

4y = 12

y = 3.......

y=-5 the answer is that

Evaluate 9x*2 y*−2 for x = –3 and y = 2. Answers:

Answers

Answer:

20 and 1/4.

Step-by-step explanation:

9x^2 * y^(-2), for x = -3 and y = 2.

9(-3)^2 * 2^(-2)

= 9 * 9 * (1/4)

= 81 * 1/4

= 81 / 4

= 20.25

= 20 and 1/4.

Hope this helps!

Answer:

Step-by-step explanation:

Let's fill the values in.

9(-3)*2(2)*-2

Using PEMDAS, we would first multiply the two numbers where x and y used to be.

-27 * 4 * -2

Now we would finish multiplying this.

216.

Hope this helps!! <3

Graph the solution of 7x+3<−4 or 2x−3≥9

Answers

Answer:

Step-by-step explanation:

To do this you would simplify both sides.

For the first one:

             [tex]7x+3<-4[/tex]

             [tex]7x<-7[/tex]        (subtract 3 from both sides)

              [tex]x<-1[/tex]         (divide 7 from both sides)

and for the second one:

              [tex]2x-3\geq 9[/tex]

               [tex]2x\geq 12[/tex]        (add 3 to both sides)

              [tex]x\geq 6[/tex]             (divide 2 from both sides)

When you graph these they will look like these pictures    

Answer:

[tex]x<-1[/tex] and [tex]x\geq6[/tex]

Step-by-step explanation:

[tex]\bf 7x+3<-4[/tex]

You must subtract 3 from both sides.

[tex]7x+3-3<-4-3\\[/tex]

After subtracting, we got

[tex]7x<-7[/tex]

Let's make it into a fraction and divide

[tex]\frac{7x}{7}<\frac{-7}{7}[/tex]

Now we got the answer

[tex]x<-1[/tex]

[tex]\bf 2x-3\geq 9[/tex]

You must add 3 to both sides.

[tex]2x-3+3\geq 9+3[/tex]

After adding, we got

[tex]2x\geq 12[/tex]

Let's make it into a fraction and divide

[tex]\frac{2x}{2} \geq \frac{12}{2}[/tex]

Now we got the answer

[tex]x\geq 6[/tex]

Your answer is [tex]\bf x<-1[/tex] or [tex]\bf x\geq 6[/tex].

A bin contains seven red chips, nine green chips, three yellow chips, and six blue chips. Find each probability. drawing a yellow chip, replacing it, and choosing a blue chip.

Answers

We will use the Multiplication Rule of Probability to find the answer.

This rule states that to find the intersection of two events, multiply them together.

First find the probability of drawing a yellow chip. Do this by creating a fraction.

Probability of drawing a yellow chip:

3 <— 3 yellow chips

25 <— 25 total chips

Then find the probability of drawing a blue chip:

6 <— 6 blue chips

25 (still 25 as you put the yellow chip back in)

Now that we have the two probabilities multiply them together.

3/25 * 6/25 = 18/625 = about 2.8% chance

The probability of drawing a yellow chip, replacing it, and choosing a blue chip will be 18/625.

What is probability?

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

A bin contains seven red chips, nine green chips, three yellow chips, and six blue chips.

Then the total number of the event will be

Total event = 7 + 9 + 3 + 6

Total event = 25

The probability of getting a yellow chip will be

Favorable event = 3 {yellow chip}

Then the probability will be

P(Y) = 3 / 25

The probability of getting a blue chip will be

Favorable event = 6 {blue chip}

Then the probability will be

P(B) = 6 / 25

Then the probability of drawing a yellow chip, replacing it, and choosing a blue chip will be

P = P(Y) x P(B)

P = (3/25) x (6/25)

P = 18 / 625

The probability of drawing a yellow chip, replacing it, and choosing a blue chip will be 18/625.

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ2

What is the probability of rolling a number less than three on a six-sided die?

Answers

Answer: The probability would be 1/3.

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

Only '1' and '2' are less than '3' on a 6-sided die.

Thus, only 2 out of 6 outcomes are of interest.

The probability of rolling a number less than three on a six-sided die is therefore 1/3.

what number would you subtract from each side of inquality to solve y+3/8>16​

Answers

Answer: I would subtract 3/8 from both sides

Explanation:

y + 3/8 > 16
y > 16 - 3/8 (subtract 3/8 from both side)
y > 128/8 - 3/8
y > 125/8

Answer:

[tex]y > 125[/tex]

Step-by-step explanation:

[tex]y + \frac{3}{8} > 16 \\ y > 16 - \frac{3}{8} [/tex]

[tex]y > (16 \times 8) - ( \frac{3}{8} \times 8) [/tex]

[tex]y > 128 - 3[/tex]

[tex]y > 125[/tex]

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