What is the greatest common factor of (2^5 x 6^7) and ( 2^3 x 6^8)

Answer:

Factors: 5x, 3x²y⁵   Not Factor: 10x⁴y³

Step-by-step explanation:

5x is a factor because 15x²y⁶= 5x•3xy⁶

3x²y⁵ is a factor because 15x²y⁶ = 3x²y⁵•5y

10x⁴y³ isn't a factor because 15:10=1.5 isn't integer

Answer:

We have 13 different beads to use in our necklace, and the thing that will make a necklace different to others, is the position of the beads.

And because we can not turn the necklaces over, the mirrored necklaces are different (the positions of the beads are mirrored)

For the first bead, we have 13 options, for the second, 12 options, and so on

the total number of combinations is equal to the product of the options for each selection, then we have:

C = 13*12*11*10*9*8*7*6*5*4*3*2*1 combinations:

C = 6,227,020,800.

Now, we are allowed to rotate the necklace, this means that a combination.

a b c d e f g h i j k l m (each letter is equivalent to one of the different beads)

is the same as other ordered as

m a b c d e f g h i j k l

And for each combination, we have 13 rotations, then the actual number of combinations is:

C/13 = 6,227,020,800/13 = 479,001,600

Using arrangements, it is found that 6,227,020,800 different necklaces can be made using 13 different beads.

The beads can be exchanged among the positions to form the necklace, hence, the arrangements formula is used.

This formula gives the number of possible arrangements of n elements, and is defined by:

[tex]A_n = n![/tex]

In this problem, the necklaces are formed by 13 beads, hence [tex]n = 13[/tex] and:

[tex]A_{13} = 13! = 6227020800[/tex]

6,227,020,800 different necklaces can be made using 13 different beads.

A similar problem is given at https://brainly.com/question/24648661

Answer:

f(x) = x2 – 10x + 21

Step-by-step explanation:

I got it because you substract and add the last part

Answer:

4/5

Step-by-step explanation:

y = 4/5 x -3

This is written in slope intercept form

y =mx + b where m is the slope and b is the y intercept

the slope is 4/5 and the y intercept is -3

Answer:

SSS

Step-by-step explanation:

I think it would be SSS (side, side, side)... let me know if I'm wrong and I'll try again:)

Check out the diagram below. I've marked the angles and sides that are congruent. Notice how the marked sides are not between the marked angles for either triangle. So we're dealing with AAS instead of ASA. The order is important. If we wanted to use ASA, then we would have to know DE = TU, both of those sides are between the marked angles.

Answer:

216 cubic inches

Step-by-step explanation:

We want to simplify:

102 * 4 - 3(8 * 8 * 1)

We will apply BODMAS:

Solving the Bracket first:

102 * 4 - 3(64)

102 * 4 - 192

=> 408 - 192

= 216 cubic inches

He will need 216 cubic inches of packing foam.

Answer: Choice B) The conjecture is valid given the focus is on proportional equivalence of two sectors.

This is another way of saying "the two pie slices are the same percentage in area". By this, I mean the percentage of the entire cake. For instance, the shaded slice could be 20% of the entire circle area, for each circle.

It's probably easier to see this is the angle was 90 degrees (split the cake into 4 equal slices, only shade one slice). Or probably even easier if you cut the cake into two slices and only shade one slice (to form a central angle of 180 degrees). For the first example, the slice would be 25% of the whole area, while the second slice is 50%.

Choice C is close, but the two sectors are not the same area. This is because the bottom circle has a larger radius, and therefore its sector area is larger.

Answer:

-8y +7x

Step-by-step explanation:

(–3y – x) – (5y – 8x)Distribute

-3y -x -5y +8x

Combine like terms

-3y-5y -x+8x

-8y +7x

Answer:

13

Step-by-step explanation:

We have:

8a^2 + 2b^2 = 10

Dividing both sides by 2,

=> 4a^2 + b^2 = 5

or (2a)^2 + b^2 = 5

We also have ab = 2

=> (2a + b)^2

= (2a)^2 + 2(2a)(b) + b^2

= (2a)^2 + b^2 + 4ab

= 5 + 4(2)

= 5 + 8

= 13

Answer:

The evaluated answer to this equation is -482

Step-by-step explanation:

h = 5

g = 10

Plug in your numbers for the equation.

8 - 50(10) + 2(5)

Multiply -50 by 10 and multiply 2 by 5.

8 - 500 + 10

Subtract 8 by -500.

-492 + 10

Add 10 to -492.

-482

Answer:

f(10)=34

Step-by-step explanation:

This is an arithmetic sequence of common difference "d = 4" (the number added to a term in order to get the next term), and first term 2,

Then we use the formula to find the nth term of an arithmetic sequence with is:

[tex]f(n)=f(1) +\,(n-1)\,d[/tex]

In our case this formula for the term number 10 becomes:

[tex]f(n)=f(1) +\,(n-1)\,d\\f(10)=f(1)+(10-1)\,4\\f(10=2+9*4\\f(10)=2+32\\f(10)=34[/tex]

Answer:  Just took it!!!

f(10)=38

Step-by-step explanation:

f(1)=2

f(n+1)=f(n)+4

f(2)=6

f(3)=10

f(4)=14

f(5)=18

f(6)=22

f(7)=26

f(8)=30

f(9)=34

f(10)=38

Answer:

Below.

Step-by-step explanation:

cos2a = 2 cos^2 a - 1

cos^4a =  8cos^4 a - 8cos^2 a + 1

Right side of the identity =

1 /8(3 + 4cos2a + cos4a)​

= 1/8( 3 + 4(2 cos^2 a - 1) + 8cos^4 a - 8cos^2 a+1)

= 1/8 (3 + 8 cos^2 a - 4 + 8 cos^4 a - 8cos^2 a + 1)

= 1/8 (8cos^4 a)

= cos^4 a = the left side.

I realised that I should have derived the identity for cos 4a as well , which i have done in the picture.

The given identity, cos⁴a = 1/8(3 + 4cos2a + cos4a) is proved.

To prove a given identity, say f(a) = f(b), we proceed to simplify any of the expressions among the L.H.S. f(a) and the R.H.S. f(b), to get the other term. If we get the simplified form as the other term, our identity holds and is proved.

We know cos2A = 2cos²A - 1.

Going by the same formula, we derive the value of cos4A.

cos4A = 2cos²2A - 1

or, cos4A = 2(2cos²A - 1)² - 1, putting value of cos2A

or, cos4A = 2(4cos⁴A - 4cos²A + 1) - 1, (expanding (2cos²A - 1)² using the formula of (a-b)² = a² -2ab + b²)

or, cos4A = 8cos⁴A - 8cos²A + 2 - 1, (expanding)

or, cos4A = 8cos⁴A - 8cos²A + 1, (simplifying)

∴ cos4A = 8cos⁴A - 8cos²A + 1.

Given identity to us is, cos⁴a = 1/8(3 + 4cos2a + cos4a).

To prove the identity, we proceed with the R.H.S.:

= 1/8(3 + 4cos2a + cos4a)

We put values of cos2A and cos4A in this expression, to get

= 1/8(3 + 4(2cos²a - 1) + (8cos⁴a - 8cos²a + 1))

Expanding the equation, we get

= 1/8(3 + 8cos²a - 4 + 8cos⁴a - 8cos²a + 1)

Simplifying, we get

= 1/8(8cos⁴a) = cos⁴a = L.H.S.

Hence, the given identity is proved.

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Answer: [tex]10\frac{2}{3}\pi[/tex]

Step-by-step explanation:

Do you really need it? If so, reply, if not, mark brainliest.

Answer:

TRUE

Step-by-step explanation:

if it was b^4 x b^3 then false. but here, would would multiply b^4 by b^3 to make it 12 so true

sorry for bad explanation

Answer:

True

Step-by-step explanation:

If b=2, 2^4 is 16, and 16^3 is 4096.

Also 2^12 is 4096.

So they are equivalent.

Answer:

15 days

Step-by-step explanation:

5 people * 16 days * 6 hrs= 480 hours

8 people * x days * 4 hours= 32x hours

Answer:

parabola; (x)^2-2(square root 3) xy+3(y)^2 +16 (square root 3) x+16=0

Step-by-step explanation:

edge’s possible answer 2020

Answer:

add the y coordinates of the two lines and divide by 2

Step-by-step explanation:

½[0+(-12)]

½[0-12]

½[-12)

y co-ordinate of the midpoint is -6

Answer:

3x - y = - 7

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 3 and (a, b) = (- 2, 1) , thus

y - 1 = 3(x + 2) ← distribute

y - 1 = 3x + 6 ( subtract 6 from both sides )

y  - 7 = 3x ( subtract y from both sides )

- 7 = 3x - y, that is

3x - y = - 7 ← in standard form

Answer:

y = ∛(x+3) + 3

Step-by-step explanation:

I plugged each equation into a graphing calculator.

Answer:

Let,O and P be the events of getting odd number and any other number except 4 respectively.

n(S)=6

O=(1,3,5) so, n(O)=3

P=(1,2,3,5,6) so, n(P)=5

So,probability of getting an odd number and any other number except 4 will be

n(O)/n(S) × n(P)/n(S)

=3/6 × 5/6

=5/12

May be it's the answer I guess. Hope you're clear with it:-)

Answer:

a = 1, b = 6

Step-by-step explanation:

The equation given is as follows;

P(x) = a·x³ + b·x² + 3·x - 10

The above equation has a factor of x + 5, therefore, we have;

P(-5) = 0 = a·(-5)³ + b·(-5)² + 3·(-5) - 10

-125·a + 25·b + (-15) - 10 = 0

-125·a + 25·b - 25 = 0

-125·a + 25·b  = 25...........(1)

Also, we are given that;

a·x³ + b·x² + 3·x - 10 divided by x + 1 as a remainder, R = -8, therefore;

P(-1) = -8 = a·(-1)³ + b·(-1)² + 3·(-1) - 10

-a + b - 13 = -8

-a + b = -8 + 13 = 5

-a + b = 5............................(2)

Multiply equation (2) by 25 and subtract from (1) gives

-125·a + 25·b - 25(-a + b) = 25 - 25×5

-100·a = 25 - 125 = -100

a = 1

Therefore, from equation (2) we have;

-1 + b = 5

b = 5 + 1 = 6.

Answer: If point B is on the same line and the same distance from points A and C,  the location is (-1.5, 4,5)

Step-by-step explanation: For point B to be the same distance from the other two points, it must be halfway between them.

for the x-value, find the number that is halfway between 0 and -3. That is -1.5

For the y-value, find the number that is halfway between 4 and 5. That is 4.5

The coordinate for point B is (-1.5, 4.5)

Answer:

Our expressions is f(x) = 3|x-7|-7

Let's calculate the limits in +∞ and -∞

So the right staement is B

As x approaches positive infinity, f(x) approaches negative infinity.

A relation is a function if it has only One y-value for each x-value.

The function f(x) = 3|x − 7| − 7 is a piecewise function, where the absolute value function has two cases depending on the sign of (x - 7).

When (x - 7) is positive, the function becomes 3(x - 7) - 7 = 3x - 28, and when (x - 7) is negative, the function becomes -3(x - 7) - 7 = -3x + 14.

As x approaches positive infinity, both cases approach negative infinity because the dominant term in each case is the linear term (3x or -3x) as x becomes large.

Therefore, the end behavior of the function is that as x approaches positive infinity, f(x) approaches negative infinity.

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Answer:

The answer is

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

12x - 5y = 2

5y = 12x - 2

Divide both sides by 5

y = 12/5x - 1/5

Comparing with the above formula

Slope / m = 12/5

Since the lines are parallel their slope are also the same.

Slope the parallel line = 12/5

Equation of the line using point (2,3) is

[tex]y - 3 = \frac{12}{5} (x - 2) [/tex]

Multiply through by 5

That's

5y - 15 = 12(x - 2)

5y - 15 = 12x - 24

We have the final answer as

Hope this helps you

Answer:

Check Explanation

Step-by-step explanation:

The options for the question aren't available. But it is given that the micrometer screw gauge in question can measure up to a hundredth of a millimeter.

We now want to measure a ball with diameter that is roughly 1.5 cm.

1.5 cm = 15.00 mm

Since our micrometer screw gauge can measure up to a hundredth of a millimeter, the possible true diameter of the ball will range between 14.995 mm and 15.004 mm

The error in measurement can range from -0.004 mm to +0.005 mm.

The amount of error was picked based on the approximate measurements on the analogy micrometer screw gauge that the equipment will still classify as roughly 15 mm (1.5 cm)

Hope this Helps!!!

Answer:

1.715 cm ± 0.005 cm; The standard error was chosen as +(-) 1/2 the smallest unit that can be precisely measured on the device, or 0.01 cm.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

you can FOIL or set up a box that is 3 x 3 (which is what I recommend) to solve it.

The product of the given polynomials is [tex]16x^4 +16x^3 -12x^2-32x-16[/tex]. The correct option is- B. [tex]16x^4 +16x^3 -12x^2-32x-16[/tex]

From the question, we are to determine the product of the given polynomials

The given polynomials are

(8x^2-4x-8) (2x^2+3x+2)

Their product can be determined as follows

[tex](8x^2-4x-8) (2x^2+3x+2)[/tex]

[tex](8x^2) (2x^2+3x+2)-4x(2x^2+3x+2)-8 (2x^2+3x+2)[/tex]

Clear the brackets

[tex]16x^4 +24x^3+16x^2 -8x^3-12x^2-8x-16x^2-24x-16[/tex]

Now, collect like terms

[tex]16x^4 +24x^3 -8x^3-12x^2+16x^2-16x^2-8x-24x-16[/tex]

Simplifying

[tex]16x^4 +16x^3 -12x^2-32x-16[/tex]

Hence, the product of the given polynomials is [tex]16x^4 +16x^3 -12x^2-32x-16[/tex]. The correct option is- B. [tex]16x^4 +16x^3 -12x^2-32x-16[/tex]

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Answer:

[tex]Result = 96.24\ km[/tex]

Step-by-step explanation:

Given

92.6 % of 103.93 km

Required

Solve (to 2 decimal places)

To solve this, we simply multiply both 92.6% and 103.93 km together;

[tex]Result = 92.6\% * 103.93\ km[/tex]

Convert percentage to fraction

[tex]Result = \frac{92.6}{100} * 103.93\ km[/tex]

Combine to form a single fraction

[tex]Result = \frac{92.6 * 103.93\ km}{100}[/tex]

[tex]Result = \frac{9623.918\ km}{100}[/tex]

[tex]Result = 96.23918\ km[/tex]

[tex]Result = 96.24\ km[/tex] (Approximated to 2 decimal places)

Answer:

12/18 bcz simplyfing 12/18 will give us 2/3

6/9 (divided by 2)

2/3 (divided by 3)

Step-by-step explanation:

Answer:

The equation in slope-intercept form is y = x + 6

Step-by-step explanation:

For this question, we will use point slope form, where you can put in a point and a slope and get an equation of the line that passes through the point with that slope.

The point slope formula is y - y1 = m(x-x1) where y1 is the y coordinate of the point, m is the slope, and x1 is the x coordinate.

We are trying to find a line parallel to x - y = 6, so our line will have the same slope as it. To find the slope of x - y = 6, subtract x and divide by -1. This gives us y = x - 6, where the slope is 1.

Now we have all necessary information.

Plug in the values: y - 5 = 1(x + 1)

Simplify: y - 5 = x + 1

Add 5 to both sides: y = x + 6

The answer is y = x + 6

Answer:

She is wrong

Step-by-step explanation:

Let us use the scale 1 : 75 to find the length of the gym on the scale drawing.

The scale means that 1 m on the drawing represents 75 m in real life.

Therefore, if the length of the gym is 12.3 cm, then the length of the gym in the scale drawing is:

12.3 / 75 = 0.164 m

Converting to cm:

1 m = 100 cm

0.164 m = 0.164 * 100 = 16.4 cm

She is wrong.