Simplify: 2⁶X5⁴X3¹²/2²x5²x3⁴​

Answers

Answer 1

Step-by-step explanation:

2⁶X5⁴X3¹²/2²x5²x3⁴

2⁴ × 5²×3⁸

Answer 2

Answer:

Step-by-step explanation:

[tex]\frac{2^{6}*5^{4}*3^{12}}{2^{2}*5^{2}*3^{4}}=2^{6-2}*5^{4-2}*3^{12-4}\\\\\\=2^{4}*5^{2}*3^{8}[/tex]

[tex]\frac{a^{m}}{a^{n}}=a^{m-n}, m>n[/tex]

In exponent division, if both numbers have same base, subtract the exponents.


Related Questions

which of the following is the slope of a line perpendicular to the line y = -2/3 x +5

Answers

Answer:

-2/3x is the slope

Step-by-step explanation:

y=mx+b is the equation to follow

I have 2 more days to live what to do :(

Answers

Answer:

I would say, spend time with your family and friends and get ready for the time, I'm so sorry that this is happening to you and i hope you had an amazing life.

i cant tell if this is legit or not but if you’re honest well, do anything you want to i guess nothing matters in the world anyways

I need help with this question. Whoever helps me I will mark branliest! <3

Answers

Answer: A, B, C

Step-by-step explanation:

AC is half of AB, so AB = 2AC

1/2 of AB will be AC, and AB

AC = CB

a, b, and c are correct!! hope this helps, and id love brainliest

Find the mean absolute deviation of the following numbers. 10, 8, 5, 12, 20

Answers

The mean absolute deviation of the following set of data is 4.5
Step-by-step explanation:
We need to find the mean absolute deviation of the following set of data.
10,20,12,4,18,8,14,18
For finding mean absolute deviation, first we need to find the mean of the given data set.
The formula used to calculate mean is:
Sum of all data points: 10+20+12+4+18+8+14+18 = 104
Number of data points = 8
So, mean is:

Now, we will subtract 13 from the given data points:
10 - 13 = -3
20 - 13 = 7
12 - 13 = -1
4 - 13 = -9
18 -13 = 5
8 - 13 = -5
14 - 13 = 1
18 - 13 = 5
We will take absolute values i.e |-a|=a
So, now the numbers will be:
3,7,1,9,5,5,1,5
We will now find absolute mean deviation by finding mean of newly calculate values
Sum of all data points = 3+7+1+9+5+5+1+5
Number of data points = 8

So, the mean absolute deviation of the following set of data is 4.5

Amber and Ruben play a game with one 6-sided die. Ruben gets a point if he rolls a prime number. Amber gets a point if she rolls a number that is a factor of 6. Is this game fair? Explain.

Answers

Answer:

Explain what?

Step-by-step explanation:

What is the minimum value of the objective function, C with given constraints? C=5x+3y {⎨x+3y≤9 {5x+2y≤20 {x≥1 {y≥2

Answers

Answer:

The answer is below

Step-by-step explanation:

Plotting the following constraints using the online geogebra graphing tool:

x + 3y ≤ 9         (1)

5x + 2y ≤ 20    (2)

x≥1 and y≥2      (3)

From the graph plot, the solution to the constraint is A(1, 2), B(1, 2.67) and C(3, 2).

We need to minimize the objective function C = 5x + 3y. Therefore:

At point A(1, 2): C = 5(1) + 3(2) = 11

At point B(1, 2.67): C = 5(1) + 3(2.67) = 13

At point C(3, 2): C = 5(3) + 3(2) = 21

Therefore the minimum value of the objective function C = 5x + 3y is at point A(1, 2) which gives a minimum value of 11.

4(3p+2)-5(6p-1)=2(p-8)-6(7p-4)​

Answers

So, The value of p is -5/22
Step-by-step explanation:
4(3p+2)-5(6p-1)=2(p-8)-6(7p-4)
12p+8-30p+5=2p-16-42p+24
-18p+13=-40p+8
-18p+40p=8-13
22p. =-5
p. =-5/22
The answer is p= -5/22

Which of the following is not a disadvantage to cash advances on a credit card?
a.
Cash advances are similar to loans in that they need to be paid back with interest.
b.
Cash advances require a lot of paperwork and are generally difficult to get.
c.
Cash advances are often the last thing to be paid when paying off your credit card.
d.
Cash advances often come with an interest rate much higher than your credit card.

(its not a)

Answers

The one that is not a disadvantage to a cash advance is is B.
Cash advances are easy to get. They are just a line of credit that usually charges you a higher interest rate than your credit card. The bank wants you to get a cash advance, so they can make more money off you.

Answer:

B

Step-by-step explanation:

it is b because I got it right on Edu and it was on quiz let

The president of a small company
made $72,000 last year. She cut her
salary this year to $60,000 because
the company was not doing as well.
What was the percent decrease in
her salary to the nearest percent?

Answers

Answer:

17%

Step-by-step explanation:

Percent decrease

[tex] = \frac{72000 - 60000}{72000} \times 100 \\ \\ = \frac{12000}{72000} \times 100\\ \\ = \frac{1200000}{72000} \\ \\ = 16.67 \% \\ \\ \approx \: 17 \%[/tex]

Jim, Carla and Tomy are members of the same family. Carla is 5 years older than Jim. Tomy is 6 years older than Carla. The sum of their three ages is 31 years. How old is each one them?​

Answers

We are given these three people age below:

Jim's ageCarla's ageTomy's age

We define the age of Jim as any variable, because the problem doesn't give any specific age. I will define Jim's age as x.

Jim's age = x

Next, Carla is 5 years older than Jim. That means if Carla is 5 years older, her age would be x+5.

Carla's age = x+5

Then Tomy is 6 years older than Carla. That means the age would be 6+(x+5).

Tomy's age = 6+(x+5)

The sum of their three ages is 31 years old. That means we add all these ages and equal to 31.

[tex] \large{x + x + 5 + 6 + x + 5 = 31}[/tex]

Combine like terms and solve for x.

[tex] \large{3x + 16 = 31} \\ \large{3x = 31 - 16} \\ \large{3x = 15} \\ \large{x = 5}[/tex]

Then we substitute the value of x in ages to find these three people ages.

Jim's age = x = 5Carla's age = x+5 = 5+5 = 10Tomy's age = 6+(x+5) = 6+(5+5) = 6+10 = 16.

Answer

Jim's age = 5Carla's age = 10Tomy's age = 16

consider the equation k over x equals 12 where k is any number between 20 and 65 and X is a positive integer what are the possible values for x​

Answers

x could be the positive integers 2, 3, 4, or 5

Help me please! It’s timed

Answers

Answer:

x=36.08

Step-by-step explanation:

Given: From the given triangle DEF, ∠E=[tex]90^{0}[/tex]

DF=55

and DE= x

To find the value of x

According to trigonometry rule,

[tex]\frac{x}{55} =cos49^{0} \\x=55(cos 49^{0} )\\x=55(0.656)\\x=36.08[/tex]

Therefore, the value of x will be 36.08

Can someone solve this and show it step by step

−5x + 2[x − (4 + 2x)] ≥ 5 − 2(x − 1)

Answers

Step-by-step explanation:

-5x + 2(x -4 -2x) > 5 - 2x -2

-5x + 2x -8 -4x > 3 - 2x

-7x -8 > 3 - 2x

-5x > 11

x < 11:-5

x < -2.2

Answer:

x ≤ 3

Step-by-step explanation:

see attachment :)) I've been stuck on this question forever... I do not understand how they got 2r^2-60r-45=0. I know the formula for the area of the circle is r^2 pi... but still... Can someone answer the question with explanation?

Answers

Answer:

2r² - 60r - 45 = 0

Step-by-step explanation:

Hang on this is going to be convoluted

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

Area of pond

a = πr²

Area of path

a = πr²/10

Combined Area

a = πr² + πr²/10

a = π(r² + r²/10)

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

The Combined Area can also be expressed as

a = π(r + 1.5)²

a = π(r² + 3r + 2.25)

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

Set the areas equal

π(r² + r²/10) = π(r² + 3r + 2.25)

Divide both sides by π

r² + r²/10 = r² + 3r + 2.25

Subtract r² from both sides

r²/10 = 3r + 2.25

Multiply both sides by 20

2r² = 60r + 45

Subtract 60r + 45 from both sides

2r² - 60r - 45 = 0

Simplify using suitable property. Also name the property used:-3/5 x 4/7 + 8/5x 4/7

Answers

Answer:

The answer is 4/7 and the property used is the distributive property

Step-by-step explanation:

Recall from the distributive property;

a * (b + c) = ab + ac

Applying same here, we have it that;

4/7 (-3/5 + 8/5)

= 4/7 * ((-3 + 8)/5)

= 4/7 * 5/5

= 4/7 * 1 = 4/7

100 points my guys
what is the defenition ofmean , medium and mode

Answers

Mean is just another name for average.
The MEAN of data is found by adding all the numbers in the data set then dividing the number of how many values you added.

Example:

6,4,10,3,7

6 + 4 + 10 + 3 + 7 = 30

30/5 = 6

Answer: 6


I'm pretty sure you ment median.
But the MEDIAN is the the middle number when the values are set from least to greatest.

Example:
1,3,3,6,7,8,9
The middle number is 6.

Or

1,2,3,4,5,6,7,9
Because there is no specific middle number, it's 4 and 5. So the answer is between those two, which is 4.5


The MODE is the number that most occurres in the set of data.

Example:
4,3,5,7,5,3,9,1,5,2
Number 5 most occurred in this set of data.

Hope this helps you out! ;)

Which of the following is the definition of the sine ratio in a right triangle

Answers

Answer:

Oppositeleg

adjacenleg

Answer:

option 1

Step-by-step explanation:

Just remember this to get the trigonometric ratio in a right triangle :

    Old Henry And His Old Aunt

O for opposite

H for hypotenuse

A for Adjacent

Sin = O/ H

Cos = A /H

Tan = O /A

in the given parallelogram ABCD, find the value of x and y​

Answers

Answer:

see explanation

Step-by-step explanation:

(a)

The consecutive angles are supplementary, sum to 180° , then

3y + 2y - 5 = 180

5y - 5 = 180 ( add 5 to both sides )

5y = 185 ( divide both sides by 5 )

y = 37

Then ∠ A = 3y = 3 × 37 = 111

The opposite angles are congruent , then

3x + 3 = 111 ( subtract 3 from both sides )

3x = 108 ( divide both sides by 3 )

x = 36

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

(b)

The diagonals bisect each other , so

x + 8 = 16 - x ( add x to both sides )

2x + 8 = 16 ( subtract 8 from both sides )

2x = 8 ( divide both sides by 2 )

x = 4

and

5y + 4 = 2y + 13 ( subtract 2y from both sides )

3y + 4 = 13 ( subtract 4 from both sides )

3y = 9 ( divide both sides by 3 )

y = 3

PLEASE HELP How can you make different triangles with the same angle measures?
Form different triangles with angle measures 90°, 75°, and 15°
How can you make different triangles with the same angle measures?
O A. Make triangles with the same angle measures and the same side lengths
OB. It is not possible to make different triangles with the same angle measures.
OC. Make triangles with the same angle measures but different side lengths
OD. Make triangles with the same side lengths but different angle measures

Answers

C. Make triangles with the same angle measures but different side lengths.

Reasoning:
The angle measurement has to be the same according to the question. The side lengths only impact the shape of a triangle, making it different even if two triangles have the same measurement.

A circle P is circumscribed about a regular hexagon ABCDEF

Arc AB =
Select one:
a. 60
b. 120
c. not enough information
d. 90

Answers

Answer:

angle degrees is 60

so the answer would be A

Step-by-step explanation:

because there are 6 sides, 360 is divided by 6.

A. angle is 60 degrees hwhshshahshsbshhshs


Solve the following equation for x.

18 – 4.x = 10 - 2x

A x = -4
B) x = -1
C) x = 1
D) x =4

Answers

Answer:

D) x = 4

Step-by-step explanation:

18 - 4x = 10 - 2x

10 - 2x = 18 - 4x

10 - 2x + 4x = 18 - 4x + 4x

10 + 2x = 18

10 - 10 + 2x = 18 - 10

2x = 8

2x ÷ 2 = 8 ÷ 2

x = 4

NEED HELP! Will give brainiest!! And thanks if you even answer one of them

Answers

1. 24 7. 11 15. True
2. -2 8. 6 16. True
3. 29 9. -20 17. True
4. 3 10. 7
5. 20 11. 40
6. 51 12. 9/2 (fraction)
13. -17
14. -4

Answer:

In the questions you are asked to evaluate by substituting the variables to the given number.

PLZ EXCUSE MY HANDWRITING.

A manufacturer of cheese filled ravioli supplies a pizza restaurant chain. Based on data collected from its automatic filling process, the amount of cheese inserted into the ravioli is normally distributed. To make sure that the automatic filling process is on target, quality control inspectors take a sample of 25 ravioli. The correct value of t* to construct a 98% confidence interval for the true mean amount of cheese filling is ________. Group of answer choices 2.797 2.492 2.064 3.467 3.745

Answers

Answer:

The correct value is t* = 2.492.

Step-by-step explanation:

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 25 - 1 = 24

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.492, which is the answer to this question.

Help,anyone can help me do quetion.​

Answers

Answer:

C2- 65° C3- 84°

Step-by-step explanation:

for C2:

the 2 parallel lines and the one cutting fully through form a transversal.

One of the rules for this is that co-interior angles (the 2 on the same side of the intersecting line) add to 180°.

This means that the angle at the top left (still within the triangle) should be 50° (180-121).

The other angle within the triangle (not the x one) is vertically opposite (opposite or "diagonal") with the 65°.

Vertically opposite angles have the same value, meaning the second angle is 65°.

In a triangle, the 3 angles add to 180. In this case, 50+65+x=180, which can be simplified to 115+x=180. Subtracting 115 from both sides gives x=65°.

For C3-

Imagine a parallel line is going through the angle x, splitting it into 2 angles (let's call them a and b).

With a being the top half, you can use the 133° given to help you. Like before, vertically opposite angles are the same, so the value "diagonal" to 133° should also be 133°. Using the co-interior rule, a should be 180-133, which gives 47°.

For b, we can skip this first step entirely. Since 143 and b are co-interior, 180-143=b, therefore b=37°.

To use these, remember a+b=x, which by subbing in the values gives 47+37=x, simplified to x=84°.

** I suggest revising the types of transversal relationships (corresponding, alternate, vertically opposite and co-interior). It's difficult explaining this without diagrams, but if you need more clarification, I'm happy to help!

Determine the general rule for the sequence 19;11;3;.....​

Answers

Answer:

Answer 3.0/528 claudiasai 88-2n + 2927,25,23,21,19- 2 difference- 2n + 29-2 x (1 ) + 29 =27-2 x (3) +29 =23

Step-by-step explanation:

Write a recursive formula for each sequence. 3. 1, 6, 11, 16, ... SOLUTION: ... Check for a common ratio by dividing each term by the term that precedes it. = 3 ;. = 3 ; ... 19. 100, 80, 64, 51.2, ... SOLUTION: Subtract each term from the term that follows it. ... Patrick thinks that the sequence can be written as a recursive formula​.

Answer:

[tex]a_{n}[/tex] = 27 - 8n

Step-by-step explanation:

There is a common difference between consecutive terms, that is

11 - 19 = 3 - 11 = - 8

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 19 and d = - 8 , then

[tex]a_{n}[/tex] = 19 - 8(n - 1) = 19 - 8n + 8 = 27 - 8n ← general rule

Which number is rational?

Answers

Answer:

Option D, [tex]\sqrt{16}[/tex], since the answer is 4 which is a rational number considering that it's a whole number

Hope this helps!

PLEASE I REALLY NEED HELP


Plans for a new school call for classrooms directly across the hall from each other to be congruent. This computer printout shows a math classroom. If the vertices of a science classroom are located at (-3x¹,y¹). (-3x²,y²), (-3x³, y³), and (-3x⁴, y⁴), will the science classroom be congruent to the math classroom?​

Answers

The lengths of the horizontal sides of the science class is larger than the

length of the horizontal side of the math class.

The correct option is; No, the the transformation applied was not a rigid motion.

Reasons:

The given vertices of the science classroom are;

(-3·x₁, y₁), (-3·x₂, y₂), (-3·x₃, y₃), and (-3·x₄, y₄)

The coordinates of the vertices math classroom are;

(x₁, y₁), (x₂, y₂), (x₃, y₃), and (x₄, y₄)

Whereby x₁ = x₄, we have;

Length of the vertical side of the rectangular math class = y₁ - y₄

Length of the horizontal side, [tex]L_M[/tex] = x₂ - x₁

Similarly;

The length of the horizontal side of the science class is, [tex]L_S[/tex] = -3·x₂ - (-3·x₁)

Therefore;

[tex]L_S[/tex] = 3·(x₁ - x₂) = [tex]\mathbf{3 \cdot L_M}[/tex]

The length of a side of the science is three times the length of the side of

the math class, which gives that the dimensions of the science class are not

the same as the the dimensions of the math class.

Therefore;

The science class and the math class are not congruent

The the correct option is, no the transformation that gives the science class from the math class is not a rigid transformation.

Learn more about non-rigid transformation here:

https://brainly.com/question/2396426

Solve the system of equations below using the elimination method.



Show how you determined your solution.
4x+y=23
3x-y=12

Answers

Answer:

The solution is (5, 3)

Step-by-step explanation:

To solve this system of linear equations, let's use elimination by addition and subtraction.  This approach is particularly easy because one equation already has +y and the other -y, summing up to zero:

4x+y=23

3x-y=12

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

7x   = 35

Then x must be 5.  

Substituting 5 for x in the first equation, we get

4(5) + y = 23.  Then 20 + y = 23, or y = 3.

The solution is (5, 3)

A - y = -2x + 40
B - y = 2x + 40
C y = 1/2x + 40
D - y=-1/2x +40

Answers

Answer:

c y=1/2x+40

because it's positive (up). /

Is this triangle similar? Why?

Answers

Answer:

IT'S NOT THE SAME BECAUSE THIS TWO TRIANGLE HAS DIFFERENT MEASUREMENT

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