The following are the temperatures of 10 days in winter in °C. 8, 3, -1, 6, 0, 5, 2, 9, -2, 0 Work out the mean temperature

6.

[tex]y^2\sqrt[8]{8}[/tex]

Step-by-step explanation:

[tex]\sqrt[8]{8*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y}[/tex]

Since there are eight y's in two groups we can take them out which turns into

[tex]y^2\sqrt[8]{8}[/tex]

:)

3.

Problem 3:

We are given the following complex number and I'm assuming we want to simplify it:

[tex]\dfrac{5+i}{6+i}[/tex]

Using the complex arithmetic rule (research about this if you're not familiar with it, it's very helpful):

[tex]=\dfrac{(5\times6+1)+(6-5)i}{6^2+1^2}[/tex]

[tex]=\dfrac{31+i}{37}[/tex]

Simplifying gives us:

[tex]=\dfrac{31}{37}+\dfrac{1}{37}i[/tex]

Problem 6:

You seem to have done this problem correctly

[tex]\sqrt[8]{8y^{16}}[/tex]

Expanding gives us:

[tex]=\sqrt[8]{y^{16}}\times\sqrt[8]{8}[/tex]

[tex]=y^2\sqrt[8]{8}[/tex]

This can't be simplified further as the 8th root of 8 gives us an irrational number

Let me know if you need any clarifications or extra help, thanks!

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:

10ths Place (Decimal)

Step-by-step explanation:

Whole numbers:

The 1 in 19.54 is in the tens place.

The 9 is in the ones place.

Decimals:

The 5 is in the tenths place.

The 4 is in the hundredths place.

Answer:

look below for your answer

Step-by-step explanation:

5 is in the tenth column

i hope i helped you

please mark my answer as brainliest

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:

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:

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:

(x-4)²+4

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

[tex]x^2 - 8x + 20\\**********************************\\\frac{8}{2} =( 4 )^2 = 16 \\\\20 - 16 = 4\\**********************************\\x^2 - 8x + 16 + 4\\(x-4)^2+4[/tex]

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:

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:

A

Step-by-step explanation:

Trust me on this and I also have a reason.

Divide 2/5 by 6 to get 1/15, then divide 6/15 by 6 to get 1/15, and both of these are simpflied.

Can I also get brainlest, I hope you do well!

The expression equivalent to Martin's expression is A. 6/15 ÷ 6.

Division is simply the opposite operation of multiplication. It is one of the basic mathematical operations where a number is divided into equal parts as that of another number.

The number being divided is called dividend and the number which divides dividend is called divisor. The resulting number after the operation is called quotient.

We have to divide the expression 2/5 ÷ 6.

When a fraction is divided by another number the divisor is change into it's reciprocal and the multiplied to the dividend.

Here dividend = 2/5 and divisor = 6

Reciprocal of 6 = 1/6

So 2/5 ÷ 6 = (2/5) × (1/6) = 2/30 = 1/15

Simplify the numbers in the options.

A. 6/15 ÷ 6 = (6/15) × (1/6) = 1/15

Hence the equivalent expression of 2/5 ÷ 6 is 6/15 ÷ 6.

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Answer:

x intercept is when y = 0, so when y is 0, x should be -9 or 8, so 4. is the only that satisfies it, therefore (-9,0)

Step-by-step explanation:

Follow me at "btracta"  on insta and we can talk

What's your instagram then?

Yes 80 followers following 10 is me

The number 3.14159265 produces an irrational number when added to 1/2.

The sum of any rational number and any irrational number will be always an irrational number.

An irrational number is a type of real number which cannot be represented as a simple fraction.

A number that can be represented as the quotient p/q of two integers such that q ≠ 0 is called a rational number.

According to the given question

We have a rational number 1/2.

Since, 0.373737373.... is a rational number because it is recurring and its behavior it known that 37 is repeating.

And we know that when any rational number is added with a rational number it with number we will get always a rational number.

⇒ 0.3737373737... + [tex]\frac{1}{2}[/tex] = rational number.

3.14159265... is an irrational number because its behavior is not known and it is not terminating.

So, when we add 1/2 to 3.14159265.. we get a irrational number.

√16 = 4 is a rational number. And it can be written as [tex]\frac{4}{1}[/tex].

So, [tex]\frac{4}{1} + \frac{1}{2} = \frac{9}{2}[/tex] which is a rational number.

-4/7 is a rational number. And when we add 1/2 to -4/7 we get a rational number.

i.e. [tex]\frac{-4}{7} + \frac{1}{2} = \frac{-1}{14}[/tex] which is rational number.

Hence, the number 3.14159265 produces an irrational number when added to 1/2.

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Answer:

$180

Step-by-step explanation:

100%=x

35%=$63

63 x 100=6300/35=$180

Answer:

96.92

Step-by-step explanation:

If the backpack was 35% off  you will  still pay 100 -35 or 65%

Let x be the original price

x * 65% = 63

Change to decimal form

x * .65 = 63

Divide each side by .64

x*.65/.65 = 63/.65

x =96.92

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:

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:

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.

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Answer:

y = ∛(x+3) + 3

Step-by-step explanation:

I plugged each equation into a graphing calculator.

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:

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:

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:

[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:

If the expression is:

-3x + 12 = -3x + 12, infinite solutions

If the expression is:

-3x + 12 = -3x - 12, no solutions

Step-by-step explanation:

Step 1: Distribute

-3x + 12 = 3x = 12

If both lines have the same slope and same y-int, they are the same line and therefore have infinite solutions.

If both lines have the same slope but different y-int, then they are parallel and therefore have no solutions.

Answer:

m=4

Step-by-step explanation:

-5m=-20

m= - 20/-5

m=4

Answer:

M=4

Step-by-step explanation:

This question was on my online school assignment. I can go back on my assignments and review and I had got it right.

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:

-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:

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.

Answer:

15 days

Step-by-step explanation:

5 people * 16 days * 6 hrs= 480 hours

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

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:

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: