May I know what is the final answer ?

Answer:

The correct option is;

[tex]4 \left (\dfrac{50 (50+1) (2\times 50+1)}{6} \right ) +3 \left (\dfrac{50(51) }{2} \right )[/tex]

Step-by-step explanation:

The given expression is presented as follows;

[tex]\sum\limits _{n = 1}^{50}n\times \left (4\cdot n + 3 \right )[/tex]

Which can be expanded into the following form;

[tex]\sum\limits _{n = 1}^{50} \left (4\cdot n^2 + 3 \cdot n\right ) = 4 \times \sum\limits _{n = 1}^{50} \left n^2 + 3 \times\sum\limits _{n = 1}^{50} n[/tex]

From which we have;

[tex]\sum\limits _{k = 1}^{n} \left k^2 = \dfrac{n \times (n+1) \times(2n+1)}{6}[/tex]

[tex]\sum\limits _{k = 1}^{n} \left k = \dfrac{n \times (n+1) }{2}[/tex]

Therefore, substituting the value of n = 50 we have;

[tex]\sum\limits _{n = 1}^{50} \left k^2 = \dfrac{50 \times (50+1) \times(2\cdot 50+1)}{6}[/tex]

[tex]\sum\limits _{k = 1}^{50} \left k = \dfrac{50 \times (50+1) }{2}[/tex]

Which gives;

[tex]4 \times \sum\limits _{n = 1}^{50} \left n^2 = 4 \times \dfrac{n \times (n+1) \times(2n+1)}{6} = 4 \times \dfrac{50 \times (50+1) \times(2 \times 50+1)}{6}[/tex]

[tex]3 \times\sum\limits _{n = 1}^{50} n = 3 \times \dfrac{n \times (n+1) }{2} = 3 \times \dfrac{50 \times (51) }{2}[/tex]

[tex]\sum\limits _{n = 1}^{50}n\times \left (4\cdot n + 3 \right ) = 4 \times \dfrac{50 \times (50+1) \times(2\times 50+1)}{6} +3 \times \dfrac{50 \times (51) }{2}[/tex]

Therefore, we have;

[tex]4 \left (\dfrac{50 (50+1) (2\times 50+1)}{6} \right ) +3 \left (\dfrac{50(51) }{2} \right )[/tex].

Answer:

The answer is given below

Step-by-step explanation:

Given that the parallelogram ABCD has m∠A = 79°

A parallelogram is a quadrilateral with two pairs of parallel lines. For a parallelogram, opposite sides of a parallelogram is equal and opposite angles are also equal. Also the diagonal of a quadrilateral bisect each other.

m∠C = m∠A = 79° (opposite angles of a parallelogram are congruent)

m∠C = 79°

m∠B +  m∠A = 180° (consecutive angles of a parallelogram are supplementary)

m∠B + 79 = 180

m∠B = 180 - 79

m∠B = 101°

m∠B = m∠D = 101° (opposite angles of a parallelogram are congruent)

m∠D = 101°

Answer:

Mean = 30.3

Median = 30

They scored 30 or more points on 11 games.

Step-by-step explanation:

Mean = all the numbers added together divided by 21

636/21 = 30.3

Median is the middle number (the 11th) = 30

Answer:

AX=2 BY=5 CZ=3

Step-by-step explanation:

Lets call AX (x). Once you do so, one can tell that AZ=5-x. CZ is also 5-x. BX is also x. Therefore you can say that BY=7-x which makes CY 7-x. Now for side YZ, CZ is 5-x and CY is 7-x.

5-x+7-x=8

solving that you get x=2

AX=2

BY=7-x=5

CZ=5-x=3

Hope this explains some more than the other answer. Please ask any questions.

Answer:

The answer is 16.

Step-by-step explanation:

First, you have to make the equation into 0 by moving all the terms to one side :

[tex] - 3 = - {x}^{2} + 2x[/tex]

[tex] {x}^{2} - 2x - 3 = 0[/tex]

Next, you have to apply Discriminant Law, D = b² - 4ac :

[tex]D = {b}^{2} - 4ac[/tex]

[tex]let \: a = 1 \: , \: b = - 2 \: , \: c = - 3[/tex]

[tex]D = {( - 2)}^{2} - 4(1)( - 3)[/tex]

[tex]D = 4 + 12[/tex]

[tex]D = 16[/tex]

Answer:

b68

Step-by-step explanation:

Answer:

68 FEET

Step-by-step explanation:

B pls give me brainliest

Answer:

102

Step-by-step explanation:

Since 2 + 8 = 10, then the cube root of 5x+2 = 8

Since 8×8×8=512, then 5x+2=512

5x=510, so x=102

Answer:

C) 102

Step-by-step explanation:

Hello !

2 + ∛(5x + 2) = 10

∛(5x + 2) = 10 - 2

∛(5x + 2) = 8

(∛(5x + 2))³ = 8³

5x + 2 = 512

5x = 512 - 2

5x = 510

x = 510 : 5

x = 102

Good luck !

Answer:

126

4m + 24.25 < 34.25

Answer:

Idek I just need points

Step-by-step explanation:

Umm

Answer:

a =4 and b= 3

Step-by-step explanation:

==================================================

Explanation:

Let's label the corner points of the triangle A,B,C starting at the origin and moving clockwise

A = (0,0)

B = (2,-4)

C = (-4,-4)

Dilating with a scale factor 2 means we multiply each coordinate of each point by the value 2

A = (0,0) becomes A' = (0,0). No change happens. This point is fixed

B = (2,-4) becomes B' = (4,-8). This point does move

C = (-4,-4) becomes C' = (-8,-8). This moves as well

So all you need to do from here is draw triangle A'B'C'.

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

Side note: the lengths of triangle A'B'C' are twice as long as their counterparts on triangle ABC. Consequently, this means the perimeter of A'B'C' is twice as long as the perimeter of ABC. Also, triangle A'B'C's area is four times larger than the area of triangle ABC.

Triangle with the three corner points at

Meaning of Dilation in Math. Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the objects. The result of this transformation is an image with the same shape as the original.

Given:

Let's label the corner points of the triangle A,B,C starting at the origin and moving clockwise

A = (0,0)

B = (2,-4)

C = (-4,-4)

Dilating with a scale factor 2

A = (0,0) --> A' = (0,0).

B = (2,-4) --> B' = (4,-8).

C = (-4,-4) --> C' = (-8,-8).

Learn more about Dilation here:

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Answer:same here

Step-by-step explanation:

Answer:

B) Lands on red 6 times

C) Lands on yellow 4 times

Step-by-step explanation:

The rest are way too much/too little for their predicted probability.

Answer:

B C

Step-by-step explanation:

If u spin the spinner below 20 times it will land on red around 4 times.

6 is only 2 greater than 4 so it works.

Same thing with yellow.

Answer:

See below.

Step-by-step explanation:

The y intercept is 4 so you can mark a point on the line at (0, 4).This is a point on the y-axis 4 units up from the origin (origin is where the axis cross).

The slope is negative so the line will rise to the left.

Mark a point which is  1 unit  horizontally to the left of point (0, 4) and 5 units vertically upwards.

Then draw the line to pass through this point  and the point (0, 4)

The equation of the line is y = -5x + 4.

Answer:

Option A.

Step-by-step explanation:

The vertices of square S are (0,0), (5,0), (5,-5) and (0,-5).

The vertices of square S' are (0,1), (0,3), (2,3) and (2,1).

It is given that center of dilation is (0,0). From the point it is clear that the distance between point of S and origin is greater that S'. It means the scale factor is less than 1.

If scale factor is 2/5, then

[tex](x,y)\to (\dfrac{2}{5}x,\dfrac{2}{5}y)[/tex]

[tex](0,0)\to (\dfrac{2}{5}(0),\dfrac{2}{5}(0))=(0,0)[/tex]

[tex](5,0)\to (\dfrac{2}{5}(5),\dfrac{2}{5}(0))=(2,0)[/tex]

[tex](5,-5)\to (\dfrac{2}{5}(5),\dfrac{2}{5}(-5))=(2,-2)[/tex]

[tex](0,-5)\to (\dfrac{2}{5}(0),\dfrac{2}{5}(-5))=(0,-2)[/tex]

If the figure translated 3 units up, then

[tex](x,y)\to (x,y+3)[/tex]

[tex](0,0)\to (0,0+3)=(0,3)[/tex]

[tex](2,0)\to (2,0+3)=(2,3)[/tex]

[tex](2,-2)\to (2,-2+3)=(2,1)[/tex]

[tex](0,-2)\to (0,-2+3)=(0,1)[/tex]

These are the vertices of square S'.

A dilation by a scale factor of two-fifths and then a translation of 3 units up are used to get square S' from S.

Therefore, the correct option is A.

Answer:

a) 7 : 20

b)There will be 35 people with blue eye

Step-by-step explanation:

a)

This question is asking you the ratio of the number of people with blue eyes to the total number of people.

So seven people with blue eyes to the total number of 20 people.

7 : 20

b)

you got the ratio 7 : 20, this also means that there will be 7 people with blue eyes in every 20 people.

so you use 100 divides by 20, you will get the number five, this means there are 5 groups of 20 in 100 people.

so then you use 5 times 7, then you got the number 35.

That means, there are 35 people with blue eyes in 100 people.

Answer:

1. 5

2. 6

3. 8

4. 200

Step-by-step explanation:

I said the answer already

first 5

next 6

then 8

lastly 200 my accounts (try both of them) king1ev15 and/or king1ev151

Answer:

B

Step-by-step explanation:

B because the y-intercept is (0,-1) and another point is (5,9). Using the slope formula, 10/5=2 so the right equation is B.

Answer:

The base is 2

Step-by-step explanation:

Exponents or powers are on top of the base.

[tex]2^x[/tex]

x is the exponent and the base is 2.

Answer:

x=2, y=-2

Step-by-step explanation:

7x+2y=10

-7x+y=-16

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

0x + 3y = -6

Divide each side

3y/3 = -6/3

y = -2

Now find x

7x +2y = 10

7x + 2( -2) = 10

7x -4 = 10

Add 4 to each side

7x -4+4 = 10+4

7x= 14

Divide by 7

7x/7 = 14/7

x = 2

Since one equation has a 7x and and the other equation has a -7x,

when we add the equations together, the x's will cancel out.

So we have 3y = -6 and y = -2.

To find x, plug -2 back in for y in either of the two original equations.

I've chosen to plug -2 into the first equation to get 7x + 2(-2) = 10.

Solving from here, x = 2.

So our final answer is the ordered pair (2, -2).

Now, check your answer.

Answer:

x =4

Step-by-step explanation:

hope this is the correct answer

Answer: B

Step-by-step explanation:  B: 5^2-3^2 = 25-9 = 16. the square root of 16 is 4, so x=4

A parallelogram is a quadrilateral with two pairs of parallel sides.

Option A is the correct answer.

Parallelogram is a quadrilateral that has two pairs of parallel sides.

In a parallelogram, opposite sides and angles are equal.

The adjacent angles add up to 180 degrees.

We have,

A parallelogram is a quadrilateral with two pairs of parallel sides.

So, option A is a valid reason for the given quadrilateral to be a parallelogram.

The other options do not necessarily hold true for all parallelograms. For example, the diagonals of a parallelogram bisect each other and are congruent, but not all quadrilaterals with bisecting diagonals are parallelograms.

Similarly, not all parallelograms have congruent diagonals or congruent opposite sides.

Thus,

A parallelogram is a quadrilateral with two pairs of parallel sides.

Learn more about parallelograms here:

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Answer:

A. Division: (x2-5x+3) =(x- 2) = x- 3+

X-2

Step-by-step explanation:

A. Division: (x2-5x+3) =(x- 2) = x- 3+  -3/X-2

This is not a polynomial since we have an x in the denominator

Answer: The answer is (-1/6, -k/6- 95/12)

Step-by-step explanation:

I copy and and pasted the question on to an online calculator because mathmatics is not my strongsuit.

The values of k for the quadratic equation 3x² +  kx -8 are (-∞, ∞).

Given Quadratic equation: 3x² +  kx -8.

The quadratic expression can be factored into two binomials if it has two real roots.

Discriminant

When b² - 4ac > 0, two real roots.

When b² - 4ac =  0, one real roots.

When b² - 4ac < 0, no real roots.

So, k² - 4(3)(-8) ≥ 0

k² + 96 ≥ 0

k² ≥ - 96

This is true for any value of k and k ∈ (- ∞, + ∞).

Therefore, the values of k are (-∞, ∞).

Learn more about Discriminant here:

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Answer:

(x−3)(x+8)

Step-by-step explanation:

The middle number is 5 and the last number is -24.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get 5

Multiply together to get -24

Can you think of the two numbers?

Try -3 and 8:

-3+8 = 5

-3*8 = -24

Fill in the blanks in

(x+_)(x+_)

with -3 and 8 to get...

(x-3)(x+8)

Answer:

I'm pretty sure it's the last one that is incorrect

Step-by-step explanation:

Answer:

The first one - “line segment TA is congruent to line segment DO” is incorrect

Step-by-step explanation:

Since the triangles are similar, the angle measurements would be the same (congruent), but the line segments are are only similar, not congruent, as they have different lengths. So the first statement is incorrect.  

Answer:

A. 5

Step-by-step explanation:

6d+15<50

subtract 15 from both sides

6d<50-15

6d<35

divide both sides by 6

d<35/6

d<5 5/6

So he can only rent it for 5 days.  If he rented for 6, it would be $51, which is too much.

Solving the given inequality for d, we get...

6d + 15 < 50

6d + 15-15 < 50-15 <<-- subtract 15 from both sides

6d < 35

6d/6 < 35/6 <<--- divide both sides by 6

d < 5.83

Which means that d can be any of the values in this set: {0, 1, 2, 3, 4, 5}

The smallest d can be is 0. In this scenario, Jeremy pays the $15 registration but doesn't rent the camera at all

The largest d can be is 5. In this scenario, Jeremy rents the camera for 5 days

Any larger value of d is not allowed as it would make the total cost go over $50

Notice how I'm rounding down regardless how close 5.83 is to 6

Answer:

D. 2^3/2

Explanation:

3 3/2

= ²√3³

= ²√27

Hope this helped! :D

Answer:

The answer is D  

Step-by-step explanation:

hope this helps ^_^

Answer:

  y = 18.25

Step-by-step explanation:

The 2-point form of the equation of a line can be used to write the equation of the line through the given points.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (-2 -7)/(3 -(-1))(x -(-1)) +7

  y = -9/4(x +1) +7

For x = -6 this evaluates to ...

  y = -9/4(-6 +1) +7 = (9/4)(5) +7 = 45/4 +7

  y = 18 1/4

Answer:

the degree of that polynomial is 4

Answer:

a constant multiplied by y can affect the linear, because it determines a dependent variables.

Step-by-step explanation:

a linear relationship is a statistical term used to described a straight line relationship between two variables.