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Answer:

(30x⁴+36x²y⁴)+(36x⁴y²+30xy⁴).

Step-by-step explanation:

x⁶+3x⁴y⁴+xy⁶

1) df/dx=6x⁵+12x³y⁴+y⁶; d²f/dx²=30x⁴+36x²y⁴;

d²f/(dxdy)=48x³y³+6y⁵ (note, d²f/(dxdy)=d²f/(dydx) !!);

df/dy=12x⁴y³+6xy⁵; d²f/dy²=36x⁴y²+30xy⁴;

2) finally

(30x⁴+36x²y⁴)+(36x⁴y²+30xy⁴).

Answer:

x=31

KPN =62

NPO=28

Step-by-step explanation:

KPO = 90(right angle) =2x + (x-3)

3X=90+3

X= 31

NPO = 31-3

NPO=28

KPN = 2*31

KPN =62

Answer:

See below ~

Step-by-step explanation:

Q2

Q3

Q4

Q5

Answer:

2,3,7 are the prime factorization of number of 252

Hi Student!

Prime factorization is the process of stripping down a number to it's basic elements.  We take a number and bring it down the most we can.  For example we take 4 and make it 2 x 2.  In this case we are given a number of 252 so we can began by dividing by 2.

[tex]252 / 2[/tex]

[tex]126[/tex]

Looking at the numbers that we have now, 126 x 2, we can see that 126 can still be divisible by another 2 so lets do that again.

[tex]126 / 2[/tex]

[tex]63[/tex]

Now, looking at the numbers that we have, 63 x 2 x 2, we see that we can no longer divide it by a 2 because 63 is not divisible by 2.  However, we can divide 3 away from the number so lets do that.

[tex]63 / 3[/tex]

[tex]21[/tex]

Once again, looking at the numbers that we have, 21 x 3 x 2 x 2, we see that we can once again divide a 3 away from our first number so lets do that again.

[tex]21 / 3[/tex]

[tex]7[/tex]

Finally, we have come down to the last line where our final elements are 7 x 3 x 3 x 2 x 2.  This is our prime factorization of the number 252 and this is where we can conclude our solution seeking.

Answer:

The correct answer is $12

Step-by-step explanation:

To check, subtract 12 from 31

31 - 12 =19

Multiply 19 by 2

19 x 2 =38

Add 12

38 + 12 =50

The percentage of the 8th graders to want to go to the water slides will be 70.

The quantity of anything is stated as though it were a fraction of a hundred. A fraction of 100 can be used to express the ratio.

The percentage of the 8th graders want to go to the water slides is found from;

[tex]\% (8 ^{th} grade)= 0.46-(0.5 \times 34 \%+0.3 \times 50\%_)\\\\ \% (8 ^{th} grade)=0.46-(0.17+0.15)\\\\ \% (8 ^{th} grade)=0.14\\\\ \% (8 ^{th} grade)= \frac{0.14}{0.20} \\\\ \% (8 ^{th} grade)=70\%[/tex]

Hence, the percentage of the 8th graders to want to go to the water slides will be 70.

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Answer:131

Step-by-step explanation:

hope this helps <3

Answer: Option (c) is correct.

68% of the data points lie between 10 and 18.

Step-by-step explanation: Given :  a normal distribution with a standard deviation of 4 and a mean of 14

We have to choose the  sentence that correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14.

Since, given 68% data.

We know mean of data lies in middle.

And standard deviation is distribute equally about the mean that is 50% of values less than the mean  and 50% greater than the mean.

So, 68% of data lies

mean - standard deviation = 14 - 4 = 10

mean + standard deviation = 14 + 4 = 18

So, 68% of the data points lie between 10 and 18.

Answer:

10 = x

Step-by-step explanation:

I believe <B = <E.

<B = 50 = <E = 5x

50 = 5x

10 = x

(a) f(0) in the given function in mod 5 is 2.

(b) f(1) in the given function in mod 5 is 2.

(c) f(2) in the given function in mod 5 is 3.

(d) f(3) in the given function in mod 5 is 1.

(e) f(4) in the given function in mod 5 is 2.

The given function is defined as follows;

f(x) = (x³ + 4x + 2) mod 5

f(0) = (0 + 0 +2) = 2 in mod 5 (0 remainder 2) = 2

f(1) = (1 + 4 + 2) = 7 in mod 5  (1 remainder 2) = 2

f(2) = (2³ + 4(2) + 2) = 18 in mod 5 (3 remainder 3) = 3

f(3) = (3³ + 4(3) + 2) = 41 in mod 5 (8 remainder 1) = 1

f(4) = (4³ + 4(4) + 2) = 82 in mod 5 (16 remainder 2) = 2

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Answer:

a.i.

[tex]mab = \frac{ya - yb}{ xa - xb} = \frac{8 - 4}{9 - 12} = \frac{4}{ -3} [/tex]

a.ii.

[tex]mc = mab = \frac{4}{ - 3} \\ (y - y1) = m(x - x1) \\ y - ( - 2) = \frac{4}{ - 3}(x - 4) \\ y + 2 = \frac{4}{ - 3}x + \frac{16}{3} \\ y = \frac{4}{ - 3} x + \frac{16}{ 3} - 2 \\ y = \frac{4}{ - 3}x + \frac{10}{3} [/tex]

Answer:

55

Step-by-step explanation:

Answer:

y=1/2x+2

Step-by-step explanation:

I found this out just by looking at the line

Answer:

O is in between m and p so it is 6

Step-by-step explanation:

In the figure below, O is between M and P, and N is the midpoint of MO. If =MP16 and =NO4, find OP.

Answer:

2√10

Step-by-step explanation:

√40=√4 x 10

2√10

         In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x,

        So in other words, a logarithm is the power to which a number must be raised in order to get some other number . For example, the base ten logarithm of 100 is 2, because ten raised to the power of two is 100: log 100 = 2. because. 102 = 100.

Hope this helps. Have a good day!

The measure of the angle ∠ABC will be 40 degrees. Then the correct option is B.

It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.

In the diagram, the measure of the arc from A to B not passing through C is 80 degrees.

Then the measure of angle ACB will be

We know that Angles subtended by the very same arc at any position on the circular path are half of the angles subtended by the very same arc at the centre.

Then we have

2∠ABC = ∠AOB

2∠ABC = 80°

 ∠ABC = 40°

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Answer:

180 feet

Step-by-step explanation:

Starting number is 300.  Four moves of 30 feet is 120 feet.

30x4 = 120

300-120 = 180

Answer:

180 feet.

Step-by-step explanation:

Remark

You need some formal way of expressing what is happening. You start at 300 feet below sea level, and make make 4 moves of 30 feet each. Where are you and how much further do you have to go to reach the surface?

Equation

Distance to go = distance in feet below sea level - number of moves *  feet / move.

Givens.

original distance below sea level = 300 feet.

number of moves = 4

distance towards the surface for each move = 30  feet.

Distance to go. = ?

Solution

Distance to go = 300  - 4*30

Distance to go = 300 - 120

Distance to go = 180 feet

Answer:

If a= ⅓

Gradients are perpendicular if they are multipled they will equal to - 1

The statement that is true about the slope of the ramps is: A. Slope of ramp A = slope of ramp B.

Slope = gradient = rise / run = vertical distance / horizontal distance.

Slope of the side view of ramp A = rise / run = 20 / 30 = 2/3.

Slope of  the side view of ramp B = rise / run = 14 / 21 = 2/3.

The slope of A = slope of B = 2/3

The statement that is true of the slopes of both ramps is therefore: A. Slope of ramp A = slope of ramp B.

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Answer:

Step-by-step explanation:

Equation 6x - 4= -4(X-5)                      Remove the brackets

Solution

6x - 4 = -4x + 20                                   Add 4x to both sides

6x + 4x -4 = -4x+4x + 20                      Combine

10x - 4 = 20                                           Add 4 to both sides

10x - 4 + 4 = 20 + 4                               Combine

10x = 24                                                 Divide by 10

10x/10 = 24/10

x = 2.4

Answer: x = 2.4

Using translation concepts, it is found that there was a horizontal compression of the function.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, there was a multiplication in the domain of the function, by a factor greater than 1, hence there was a horizontal compression of the function.

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[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]

          What is the mean of 7, 10, 13, 4, 12, 21, 10, 3?

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond[/tex]

    ❖ First, add all the numbers together:-

7+10+13+4+12+21+10+3

Addition results in:-

80

Now divide by how many numbers there are (here we have 8):-

80÷8=10

So we conclude that the mean is 10.

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Answer:

f(7) = 9

Step-by-step explanation:

f(x) = 2x - 5, solve f(x) = 7.​

f(7) = 2(7) -5

f(7) = 9

Answer:

0.03%

Step-by-step explanation:

[tex]\frac{11}{150}(\frac{10}{149})(\frac{9}{148})[/tex]

≈ 0.03%

Answer:

It would be C.

Step-by-step explanation:

Hope this helps! :)

Answer:

12

Step-by-step explanation:

Split into 2 shapes, the to find the area of the triangle you multiply base×height divided by 2.

4×3=12

12/2=6

after that find the area of the rectangle

2×3=6

add the area's together

6+6=12