Simplify 3^6x3
O A 36
B. 37
O. 96
D. 35

Answers

Answer 1

[tex]\\ \sf\longmapsto 3^6\times 3[/tex]

[tex]\boxed{\sf a^m\times a^n=a^{m+n}}[/tex]

[tex]\\ \sf\longmapsto 3^6\times 3^1[/tex]

[tex]\\ \sf\longmapsto 3^{6+1}[/tex]

[tex]\\ \sf\longmapsto 3^7[/tex]


Related Questions

Distributions and Comparing Data Project
Round all answers to the nearest tenth. Present your work in a neat, legible way. Show all work.
Given the data set (16 values):
8, 6, 10, 5, 7, 1, 6, 11, 5, 13, 14, 8, 11, 9, 8, 6
1. Create a histogram and a box plot to represent this data set. What is the shape of the data
representation? Explain your reasoning.
2. Which measure of center and spread would you use to represent this data? Explain your reasoning.
3. Use a random number generator to generate a set of 15 numbers between 1 and 20. Create a
histogram and box plot to represent your data set. Calculate measures of center and spread. Which
measure of center and spread would you use to represent your data?
For questions 6-9 refer to the box plots (Assume their positions are on same number line). Write your
Class A
Class B
Class C
Class D
o
4. Which class(es) appear to have the most consistent scores? Explain your reasoning,

Answers

Answer:

1. The shape of the histogram created with MS Excel is approximately bell shaped and approximately evenly spread about the central (largest counts) values

The shape of the box plot created with MS Excel is approximately evenly distributed

2. The appropriate measure of central tendency for a bell shaped histogram is the mean and median, due to the approximately equal distribution about the highest frequency class

3. Part A

The 15 numbers between 1  and 20 generated by a random generator are;

1, 8, 8, 15, 4, 18, 11, 6, 17, 1, 18, 15, 10, 12, 11

The measure of center is the mean =  (1+8+8+15+4+18+11+6+17+1+18+15+10+12+11)/15 = 155/15 = 31/3

The measure of spread used is the variance, s² = 32.38

[tex]Where, \,s^2 =\dfrac{\sum \left (x_i-\bar x \right )^{2} }{n - 1}[/tex]

[tex]{\sum \left (x_i-\bar x \right )^{2} }[/tex] = 453.333

n = 15

s² = 453.[tex]\overline 3[/tex]/(15 - 1) = 32.38

Part B

The measure of central tendency are the mean and the median because the size of the data (n = 15), is 75% of the population (N = 20) nd therefore the data is approximately normal and can be represented by the mean and the standard deviation

Step-by-step explanation:

Can someone help me with this math homework please!

Answers

Answer:

I think is the third one but if Im wrong ignore me

Please hurry I will mark you brainliest

What is the slope of this?

Answers

Answer:

Step-by-step explanation:

you can use the rise over run technique, where you count how many units you go down or up, left or right to get to the next point. or use the slope formula :

(y2-y1)/(x2-x1)

the pairs given :

(1,6) and (3,2)

(2-6)/(3-1) = -4/2 = -2

-2 is the slope. the line is going downwards so there is a negative slope

Which equation represents the graph?
y=3x²-4
y=-3x²-4
y=-3x²+4
y=3x²+4

Answers

Answer:

y = -3x^2 + 4

Look below for more information

Step-by-step explanation:

y = 3x^2 - 4

Everything is wrong about this answer. The slope is actually a negative and the y-intercept is suppose to be a positive

y = -3x^2 - 4

Only the y-intercept is wrong here because the graph is going 4 units up instead of 4 units down

y = -3x^2 + 4

This is the correct answer! The slole is negative and the y-intercept is a positive

y = 3x^2 + 4

The slope is wrong but the y-intercept is correct!

Therefore, our answer is the third option: y = -3x^2 + 4

6x8x8 is it actually 384?! Please show me how!

Answers

Answer:

If it's hard to add together, I think you should get a calculator

Please read below. Thank you.

Answers

2+3=5cm

Step-by-step explanation:

2 and 3 would have to be added together to get the radius of the circle, resulting in the answer being 5. 2+3=5cm that's your answer

The equation of circle with center (h,k) and radius r units is

(x -  h)^2 + (y - k)^2 = r^2

The equation of the circle with center (2,3) and radius 5 cm is

= (x - 2)^2  + (y - 3)^2 = 5^2

= x^2  -  4x + 4 + y^2 - 6y + 9 = 25

= x^2 + y^2 - 4x - 6y - 12 =0

hope it helps and is right

work out the length of ab​

Answers

Answer:

AB = 2√137

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

a is a leg b is another leg c is the hypotenuse

Step-by-step explanation:

Step 1: Define

Identify variables

a = 22 cm

b = 8 cm

Step 2: Solve for c

Substitute in variables [Pythagorean Theorem]:                                            (22 cm)² + (8 cm)² = c²Evaluate exponents:                                                                                        484 cm² + 64 cm² = c²Add:                                                                                                                   548 cm² = c²[Equality Property] Square root both sides:                                                   2√137 cm = cRewrite:                                                                                                             AB = 2√137

Answer:

AB= 2√137 cm

Step-by-step explanation:

because we have a right triangle we apply the Pythagorean theorem

hypothenuse² = side² + side²

AB² = BC² + AC², substitute the given sides BC=8 and AC=22

AB² = 8² + 22² , square the numbers and apply the square root to both side

AB = √(64 + 484), add the numbers

AB = √548, simplify the square root

AB= 2√137 cm

1. Una empresa realizó una encuesta a 250 personas para saber qué programa de televisión prefieren ver en domingo. Se les dieron 3 opciones: deportes, películas o musicales. El resultado de la encuesta fue: 130 personas prefieren deportes; 80 prefieren ver películas; 40, musicales; 25 prefieren deportes y películas; 20, películas y musicales; 10, deportes y musicales; y sólo a 6 personas les gustan los tres tipos de programas. a) ¿Cuántas prefieren ver sólo deportes? b) ¿Cuántas prefieren ver sólo un programa de televisión? c) ¿Cuántas prefieren ver películas o musicales?

Answers

Answer:

A) 89 personas prefieren ver sólo deportes.

B) 122 personas prefieren ver sólo un programa de televisión

C) 33 personas prefieren ver películas o musicales.

Step-by-step explanation:

Dado que una empresa realizó una encuesta a 250 personas para saber qué programa de televisión prefieren ver en domingo, y se les dieron 3 opciones: deportes, películas o musicales, donde el resultado de la encuesta fue: 130 personas prefieren deportes; 80 prefieren ver películas; 40, musicales; 25 prefieren deportes y películas; 20, películas y musicales; 10, deportes y musicales; y sólo a 6 personas les gustan los tres tipos de programas; para determinar A) cuántas prefieren ver sólo deportes, B) cuántas prefieren ver sólo un programa de televisión; y C) cuántas prefieren ver películas o musicales, se deben realizar los siguientes cálculos:

A)

130 - 25 - 10 - 6 = 89

B)

80 - 25 - 20 - 6 = 29

40 - 20 - 10 - 6 = 4

89 + 29 + 4 = 122

C)

29 + 4 = 33

A hiker is walking through a flat meadow, observing a mountain in
the distance. She measures the angle of elevation between the ground
and the mountaintop to be 25 degrees. She walks 5 miles, and then
measures the angle of elevation again-now it's 40 degrees. How tall is
the mountain?

Answers

Answer:

Un excursionista camina por un prado llano, observando una montaña a

lo lejos. Mide que el ángulo de elevación entre el suelo

y la cima de la montaña es de 25 grados. Camina 5 millas y luego

mide el ángulo de elevación nuevamente, ahora es de 40 grados. ¿Qué altura tiene

la montaña?

Step-by-step explanation:

Please help ASAP!!!
What is the value of X

Answers

The value of x is 1 by it’s self

Answer:

x=5

Step-by-step explanation:

since this is an isosceles triangle, this means that the two base angles are equal. therefore, 8y-7=73°, meaning that y = 10° (although we don't really need to know that since you're just supposed to find x).

the angles of a triangle add up to 180°, so we can add all the angles and set them equal to 180° to find x.

6x+4+73+73=180

6x+150=180

6x=30

x=5

Solve for x
Need help asap

Answers

Answer:

[tex]x=55[/tex]

Step-by-step explanation:

Corresponding angles of two parallel lines are always equal. The angle on "top" of [tex]2x+6[/tex] corresponds with the angle marked as [tex]x+9[/tex]. Therefore, its measure must also be [tex]x+9[/tex].

Since these two angles form one side of a line which has 180 degrees, we have the following equation:

[tex]2x+6+x+9=180[/tex]

Combine like terms:

[tex]3x+15=180[/tex]

Subtract 15 from both sides:

[tex]3x=165[/tex]

Divide both sides by 3:

[tex]x=\frac{165}{3}=\boxed{55}[/tex]

find the missing length

Answers

Answer: x = 120

Step-by-step explanation:

Okay so you have three similar right triangles. To find x, you can set up an proportion [tex]\frac{shorter leg}{long leg} = \frac{64}{x} = \frac{x}{225}[/tex]  since similar figures are in proportion. By cross multiplying and finding the square root of x^2, you result in x equaling 120.

A chemist has a container of 12% peroxide solution and a container of 20% peroxide solution. She needs to mix the two solutions to create 100 mL of a 14% solution. If x represents the amount of 12% peroxide solution and y represents the amount of 20% peroxide solution she needs, which matrix equation can determine the amount of each solution she needs to make the 14% solution?

Answers

Answer:

[tex]0.12x+0.2y=14,\:x+y=100\quad :\quad x=75,\:y=25[/tex]

Step-by-step explanation:

.12x + .2y = 14

x + y = 100

Answer:

Its B

Step-by-step explanation:

Marcelino Co.'s March 31 inventory of raw materials is $82,000. Raw materials purchases in April are $600,000, and factory payroll cost in April is $388,000. Overhead costs incurred in April are: indirect materials, $53,000; indirect labor, $28,000; factory rent, $36,000; factory utilities, $25,000; and factory equipment depreciation, $52,000. The predetermined overhead rate is 50% of direct labor cost. Job 306 is sold for $630,000 cash in April. Costs of the three jobs worked on in April follow.

Answers

Answer:

Gross Profit for Job 306 is $192,000

Step-by-step explanation:

Raw Material used $682,000

Indirect Material used $53,000

Indirect Labor $28,000

Factory rent $36,000

Factory utilities $25,000

Factory equipment depreciation $52,000

Total cost $876,000

Job 306 cost allocation :  $876,000 * 50% = $438,000

Revenue of Job 306 : $630,000

Gross Profit = $192,000

The length L of the base of a rectangle is 5 less than twice its height H. Write the algebraic expression to model the area of the rectangle.

Answers

Answer: 2H^2 - 5H

Explanation:
1. L = 2H - 5
2. Area of a rectangle is length (L) times height (H), so in this case, it would be (H) x (2H - 5)
3. Multiply H by everything in the parenthesis
4. You should get 2H^2 - 5H

The length L of the base of a rectangle is 5 less than twice its height H. Then the algebraic expression be, area of rectangle = 2H² - 5H.

What is the algebraic expression to model the area of the rectangle?

Let, the given information be "The length L of the base of a rectangle is 5 less than twice its height H".

L be the length of the rectangle

H be the height of the rectangle

By converting the given information into an algebraic expression, we get

Length = 2H - 5

The area of a rectangle is given by the formula;

Area of rectangle = L [tex]*[/tex] H

Where L is the Length.

H is the Height.

Substituting the values into the formula, we have;

Area of rectangle = (2H - 5) [tex]*[/tex] H

Area of rectangle = 2H² - 5H

Therefore, the area of rectangle = 2H² - 5H.

To learn more about algebraic expression of rectangle

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Solve for all positive values of θ less than 360° ,[tex]3 tan \theta+2 =-1[/tex]

Answers

[tex]\theta=225°,315°[/tex]

Answer:

Solution given:

[tex]3 tan \theta+2 =-1[/tex]

keeping constant term on one side

[tex]3Tan\theta=-1-2[/tex]

[tex]Tan\theta=-3/3[/tex]

[tex]Tan\theta =-1[/tex]

Since tan is negative in third and fourth quadrant.

[tex]Tan\theta=Tan(180+45),Tan(360-45)[/tex]

[tex]\theta=225°,315°[/tex]

In a basketball tournament, Team A scored 5 fewer than twice as many points as Team B. Team C scored 80 more points than Team B. The combined score for all three teams was 983 points. Write an equation to represent this scenario using the variable b to represent Team B's total points. Translate the scenario.

Answers

Answer:

(2b - 5) + b + (b + 80) = 983

Step-by-step explanation:

Given that,

Total score of three teams = 983

Since the teams' scores are given in reference to team B's score, let 'b' be the score of team B.

So,

The scores of Team A = (2 * b) - 5

The scores of Team B = b

The scores of Team C = (b + 80)

Thus,

The equation for determining the total points of Team B would be:

(2b - 5) + b + (b + 80) = 983

On solving,

(2b - 5) + b + (b + 80) = 983

⇒ 2b + b + b = 983 + 5 - 80

⇒ 4b = 908

⇒ b = 908 ÷ 4

⇒ b = 227

Team B's score = 227

Team A's score = (2 * 227 - 5)

= 449

Team C's score = 227 + 80

= 307

Total ⇒ 449 + 227 + 307 = 983

Hence proved.

CAN SOMEONE HELP ME PLEASE!

Answers

9514 1404 393

Answer:

FalseFalseTrue

Step-by-step explanation:

1. All of the x-values are unique, so the relation is a function. The statement is False.

__

2. It is true that integer values of x in the interval 3 ≤ x ≤ 8 are the domain of the function. However, the inequality does not limit values of x to being integers. x=3.5 satisfies the inequality, but is not in the domain. The statement is False.

__

3. The range of the function is the set of y-values. The statement is True.

The speed of the boat going with a current is 20 mph. When the boat goes against the current, the speed is 16 mph. Find the speed of the boat in still water and the speed of the current.

Answers

Answer:

The speed of the boat in still water is 18 mph.

The speed of the current is 2 mph

Step-by-step explanation:

Let x represent the speed of the boat in still water.

Let y represent the speed of the current.

When the boat goes against the current, the speed is 16 mph. Assuming it traveled against the current while going upstream, its total speed would be (x - y) mph. It means that

x - y = 16  (equation 1)

Going downstream, the boat averages 20 mph. Assuming it traveled with the current, its total speed would be (x + y) mph. It means that

x + y = 20  (equation 2)

Adding both equations, it becomes

2x = 36

x = 36/2

x = 18 mph

Substituting x = 18 into equation 1, it becomes

18 - y = 16

y = 18 - 16

y = 2 mph

pls answer correctly and explain

thx

Answers

Answer:

36n = 360

Step-by-step explanation:

A dozen is 12

3 dozen is 3*12 = 36

36 * n boxes = 360

36n = 360

What are the steps i need to do (along with the answer) to 9^x = sqrt of 729?

Answers

Answer:

last option is correct 3/2

Answer:

x = 3/2

Step-by-step explanation:

9^x = 729 ^ 1/2

We need to get the bases the same

729 = 9^3

9^x = 9^3 ^ 1/2

We know that a^b^c = a^(b*c)

9^x = 9^3/2

Since the bases are the same, the exponents are the same

x = 3/2

Find the equivalent percent for ¾

Answers

3/4 is equivalent to 75%.

To find the percentage of a fraction, you simply just divide the numerator by the denominator. 3/4=0.75, which is 75%.

Answer:

75%....3/4 expressed as a percentage is just multiplying 3/4 and 100

a = 3d
work out the value of 'a' when , d= 5​

Answers

Answer:

15

Step-by-step explanation:

a = 3d

Let d=5

a = 3*5

a = 15

hope this helps! feel free to clarify!

7. Which set of points could represent
a linear function?
A {(2, 1), (5,3), (6, 7), (7, 11)}
B ((2.-1), (5,3), (8, 7). (11.11 )}
C {(2, -1), (5,5), (8,7), (11, 11 )}
D (5.-1), (5,5), (8,7), (11, 11)}

Answers

Answer:

B ((2.-1), (5,3), (8, 7). (11.11 )}

Step-by-step explanation:

Linear function:

The rate of change is always the same.

Item a:

x = 2 to x = 5 -> y = 1 to y = 3. Rate of change of 2/3.

x = 5 to x = 6 -> y = 3 to y = 7. Rate of change of 4.

Different rates of change, so not linear.

Item b:

We can look that for each point, when x changes by 3, y changes by 4, so the rate of change is the same and this set of points represents a linear function, and the answer is option b.

8. In an examination 40% of the students failed. The number of students that passed was 180. How many students failed?
A.120 B.270

C.300 D.450​

Answers

Answer:

A

Step-by-step explanation:

Given 60% of students passed , then 40% of students failed.

60% = 180 ( divide both sides by 60 )

1% = 3

Then

40% = 40 × 3 = 120

120 students failed the exam

If the number of students that passed was 180, the number of students who failed the examination is 120. So, correct option is A.

To determine the number of students who failed the examination, we need to find 40% of the total number of students.

We are given that 40% of the students failed, which means that 60% of the students passed. Since we know that the number of students who passed is 180, we can set up the following equation:

60% of total students = 180

To solve for the total number of students, we divide both sides of the equation by 60% (or 0.6):

Total students = 180 / 0.6

Calculating the right-hand side of the equation, we get:

Total students = 300

Therefore, the total number of students is 300.

To find the number of students who failed, we multiply the total number of students by the percentage who failed:

Number of students who failed = 300 * 40% = 120

Hence, option A, 120, is the correct answer.

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Here's a graph of a linear function. Write the
equation that describes that function.
Express it in slope-intercept form.
Enter the correct answer.

Answers

Answer:

Y = 1/4 x -3

Step-by-step explanation:

x1 y1  x2 y2

0 -3  -8 -5

   

ΔY -2    

ΔX -8    

   

slope=   1/4    

B= -3          

   

Y =0.25X +-3    

Find the value of the expression 8x^3 if x=0

Answers

The answer would be 0 because it’s 8 times 0 cubed. And 0 times any number is 0 so 0 to the 3rd power is 0

Your employer offers a 401(k) plan in which they will match 100% of
your contributions, up to 5% of your salary. Suppose you make
$35,000 in a given year, and you contribute $4,000.

Answers

Answer:

they will match 5% of 35,000 = $1750

so you total would be $5,750

Step-by-step explanation:

4 bags of sand and 20 kg of cement weigh 100 kg altogether, how
heavy is one bag of sand?


One bag of sand
is_________
kg.

Answers

20kg each bag…………………..

Answer:

One bag of sand is 20kg.

Step-by-step explanation:

100 - 20 = 80

80/4 = 20

Cheryl had 22 charms. She used C charms to make a bracelet then she went to the store and bought 14 more charms. Now she has 25 charms. How many charms did Cheryl use to make the bracelet

Answers

Answer:

She used 11 charms.

Step-by-step explanation:

25-14=11

22-11=11

Answer: She used 11 charms.

Step-by-step explanation:

The equation to find the answer is 22-C+14=25. You would minus 14 from both sides, leaving you with 22-C=11. 22-11=11, so your answer is 11 charms. Hope this helped!

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