what are the coordinates of the final point?

Answer:

28

Step-by-step explanation:

7C2

The 3rd term of 7th row of the Pascals triangle is 21.

We have a Pascal's triangle.

We have to determine the 3rd term of 7th row of this triangle.

A pascal's triangle is an arrangement of numbers in a triangular array such that the numbers at the end of each row are 1 and the remaining numbers are the sum of the nearest two numbers in the above row. The pascals triangle is shown below -

[tex]\begin{tabular}{rccccccccc}$n=0$:& & & & & 1\\\noalign{\smallskip\smallskip}$n=1$:& & & & 1 & & 1\\\noalign{\smallskip\smallskip}$n=2$:& & & 1 & & 2 & & 1\\\noalign{\smallskip\smallskip}$n=3$:& & 1 & & 3 & & 3 & & 1\\\noalign{\smallskip\smallskip}$n=4$:& 1 & & 4 & & 6 & & 4 & & 1\\\noalign{\smallskip\smallskip}\end{tabular}[/tex]

If we have to find the element or term at position - m in row number - n, than the element will be -

[n] C [m-1] = [n-1] C [m-2] + [n-1] C [m-1]

According to the question, we have to find the 3rd term of 7th row of this triangle. It can be found out using the formula -

[n] C [m-1] = [n-1] C [m-2] + [n-1] C [m-1]

We have - n = 7 and m = 3

[7] C [2] = [6] C [1] + [6] C [2]

[tex]$\frac{7!}{(7-2)!2!} = \frac{6!}{(6-1)!1!} + \frac{6!}{(6-2)!2!} = 6 + 15 = 21[/tex]

Hence, the 3rd term of 7th row of the Pascals triangle is 21.

To solve more questions on Pascals Triangle, visit the link below-

https://brainly.com/question/15655806

#SPJ2

P(x) = 5x² + 5x + 7

"This is a polynomial because it is a 2nd degree trinomial or quadratic".

"Poly: meaning many, and nominal: meaning terms, combine to form the expression: "many terms".

Answer:

x = -11/3, y = -4/3

Step-by-step explanation:

[tex]y-2x=6\\y = 2x + 6[/tex]

[tex]3(2x + 6) = -4\\6x + 18 = -4\\6x = -22\\x = -11/3[/tex]

[tex]3y = -4\\y = -4/3[/tex]

Answer:

From (2, 1) move up one and over four

Answer:

y = amount saved in dollars

x = months

Since the student already has $20 dollars saved (20) and plans to save $10 per month (10x), the equation so far is y = 20 + 10x.

You can use this to solve questions based of the equation/situation by filling in any numbers you are given where the variables are.

Hope this helps! :)

Step-by-step explanation:

y = amount saved in dollars

x = months

y = 20 + 10x

Ans: y = 20 + 10x

9514 1404 393

Answer:

  D)  Happy snakes are not purple

Step-by-step explanation:

The first statement tells us all happy snakes can add.

The second statement tells us that all purple snakes can't subtract, and the third statement tells us that purple snakes also cannot add.

Therefore, we must conclude that happy snakes are not purple.

Answer:

4200

Step-by-step explanation:

7000 x 0.60 = 4200

Answer: 22/3

Step-by-step explanation:

So, the first step is to add 9/2 to both sides. We cant do that unless there is a common denominator between -8/3 and 9/2. I will leave the 1/4 alone because we will have to divide that later. When you divide a fraction, you multiply by the reciprocal, which doesnt require a change in denominator. That is my reason for not changing the 1/4.

The common denominator of the two would be 6.

[tex]-\frac{16}{6} =\frac{1}{4}x-\frac{27}{6}[/tex]

Add the 27/6 to both sides

[tex]\frac{11}{6}=\frac{1}{4}x[/tex]

Divide the 1/4 to both sides

[tex]x=\frac{11}{6}*\frac{4}{1} =\frac{44}{6}= \frac{22}{3}[/tex]

Answer:

40%

Step-by-step explanation:

Answer:

If you need help on further questions like this, divide what he has to what he needs or his goal

in order to get 37.5% you have to divide 75/ 200

You will get 0.357 and that is 37.5% this is ABOUT 40% but I reccomend putting 37.5% to be safe.

Answer:

75.4 inches

Step-by-step explanation:

circumference = 2πr = 24π ≅ 75.4 inches

It's really more of a tubcake than a cupcake.

Answer:

Answer: The 20-day old worm is inches more longer than the 10-day old worm. If someone says the same thing as me, they copied me—

Step-by-step explanation:

can i get a brainliest-?

Answer:

y=(x+5)2 hope this helped!!! :D

Step-by-step explanation:

Answer:

t = 6√3 mm

Step-by-step explanation:

The angles of the triangle are 30°, 60°, and 90°. That's lucky for you, because the sides of a 30°-60°-90° triangle are always in the ratio 1:√3:2

The side opposite the 90° angle is 12 mm, so the side opposite the 30° angle is 12/2 = 6 mm

t = side opposite the 60° angle = 6√3 mm.

The value of T is 6√3.

One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.

We have,

Hypotenuse = 12 mm

Using Trigonometry

sin 60 = P/H

√3/2= P/12

12√3/2= P

P= 6√3

Thus, the value of T is 6√3.

Learn more about Trigonometry here:

https://brainly.com/question/29002217

#SPJ2

Answer: Each trial isn’t being classified as a success or failure, so X is not a binomial variable.

Step-by-step explanation:

X is not a binomial variable since each trial is not categorized as a success or failure.

The likelihood of failure increased to the power of the difference between the number of successes and the number of tries is multiplied by the chance of succeeding raised to the power of the number of successes.

The chance of success for the trials in question in a binomial distribution must stay constant. Because there are only two possible outcomes when flipping a coin, the likelihood of doing so is 0.5 for each trial.

Since lX indicates the typical number of pets in the sample and their outcomes are independent, X is not a binomial variable.

Learn more about binomials on:

brainly.com/question/15246027

#SPJ2

Answer:

Undefined

Step-by-step explanation:

Vertical lines cannot be functions, since they yield multiple y-values for one single x-value.

Answer:

33.333333% (the 3 goes on forever)

Answer:

72.06

Step-by-step explanation:

Given that :

Side Lenght, a = 10

Edge length, b = 17

Using Pythagoras :

h = height of pyramid

h = sqrt (b² - 1/2a²)

h = sqrt(17^2 - 10^2/2)

h = sqrt(289 - 50)

h = 15.46

Slant height :

L = sqrt(h² + a²/4)

L = sqrt(15.46² + 25)

L = sqrt(239 + 25)

L = sqrt(264)

L = 16.25

Sinα = h/L

α = sin^-1 (15.46/16.25)

α = 72.060933

= 72.06

The approximate value of the angle formed between the base and a triangular face is 72.0775°.

Let [tex]h[/tex] be the distance between the center of the square base and the midpoint of the side of the square and let [tex]H[/tex] the height of the triangular face of the pyramid. By properties of the square and the Pythagorean theorem we derive expressions for [tex]h[/tex] and [tex]H[/tex], respectively:

Square base

[tex]h = 0.5\cdot L[/tex] (1)

Triangular face

[tex]H = \sqrt{l^{2}-0.25\cdot L^{2}}[/tex] (2)

Where:

Finally, by trigonometry we can derive an expression for the angle between the base and a triangular face ([tex]\theta[/tex]), in sexagesimal degrees:

[tex]\theta = \cos^{-1} \frac{h}{H}[/tex] (3)

If we know that [tex]L = 10\,km[/tex] and [tex]l = 17\,km[/tex], then the angle between the base and a triangular face is:

[tex]h = 5\,km[/tex]

[tex]H = \sqrt{17^{2}-5^{2}}[/tex]

[tex]H \approx 16.248\,km[/tex]

[tex]\theta = \cos^{-1} \frac{5\,km}{16.248\,km}[/tex]

[tex]\theta \approx 72.0775^{\circ}[/tex]

The approximate value of the angle formed between the base and a triangular face is 72.0775°.

We kindly invite to check this question on pyramids: https://brainly.com/question/16303112

30 x 23 = 690

23 x 30 = 690

Answer: 690

Step-by-step explanation:

Now whats 34+35?

Answer:

6

Step to Step:

9x6=54

Answer:

Option A

Step-by-step explanation:

In order to find the answer to this equation you must remember to divide if there is a variable right next to the number.

[tex]9x=54[/tex]

[tex]\div9[/tex]

[tex]54\div9=6[/tex]

[tex]x=6[/tex]

Hope this helps.

Answer:

10 (D)

Step-by-step explanation:

do the Pythagorean theorem

Answer:

10

Step-by-step explanation:

Answer: (2,72) (5,189

Step-by-step explanation:

I did the I Ready

Answer:

Either 36,8 × 2,1 or 2,3 × 33,6

Answer:

not sure what shape you meant need more info but it should be 360 inches

^3

Step-by-step explanation:

Answer:

Brians milk is more chocolaty

Step-by-step explanation:

Answer:

yes, the measures are equivalent because the formula for cm to mm is times 10. 9 times 10 is 90.

Step-by-step explanation:

hope this helps! pls mark brainliest!

Angela owns a set of 6-inch tall glasses. Each glass has a diameter of 3 inches. Angela has three people over for dinner. Each guest will be served a full glass of milk. How much milk will Angela need (in cubic inches)? Use 3.14 for pi ()