1.Simplify using suitable properties
(i) 13−51+2

The coefficients of any row of Pascal’s triangle can be calculated using (A) combinations

A binomial expansion is represented as:

[tex](a + b)^n = ^nC_x a^xb^{n - x}[/tex]

Where:

x >= 0 and x <= n

In the above expression, the coefficient is:

[tex]^nC_x[/tex]

The above represents the xth term of a Pascal triangle and it is a combination expression

Hence, the coefficients of any row of Pascal’s triangle can be calculated using (A) combinations

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Answer:

according to my calculation it is 13

Step-by-step explanation:

hope I helped

The average speed of the Australian team's laser boat in the San Francisco final was 68.81 km/h.

The laser boat is a type of boat that uses the wind to move on the water. This type of boat is used in the SailGP Championship.

In the phase of San Francisco, the United States the winner was the team of Australia that had an average speed of 68.81 km/h and a maximum of more than 90 km/h.

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Over a female lifetime, about 300 hundred to 400 hundred will mature and travel to the uterus

At birth, about 1 million eggs are present but by the period a person reaches adolescence, only about 300,000 are still there since a lot of follicles and oocytes would have been engaged to start the development and maturation process.

Only about three hundred to four hundred of them will ripe and ovulate over a woman's reproductive lifespan due to the decline in a woman's fertility as she matures.

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Answer:

x = 3

y = -1

z = 2

Step-by-step explanation:

if x+y = 2, and x+y-z = 0, then we can substitute 2 for x+y. this means 2-z=0, meaning z=2.  if y-z=-3, then y-2=-3, and y=-1. x+y=2 which means x-1=2 so x=3. plug in the values to check your answer.

Answer:

don't know but please keep trying up

Figure it out..............................................

Answer:

D

Step-by-step explanation:

interior angles = 180

180-72

Answer:

4

Step-by-step explanation:

The median is the middle number when the list is sorted from least to greatest or greatest to least.

We make this list to get 2,3,4,5,8 or 8,5,4,3,2 and the middle number in both lists is 4.

Answer:

yes it is I'm sure of it ok.

Answer:

The measure of smaller angle = 45°

Step-by-step explanation:

Finding the unknown angle

  Ratio of the supplementary angles = 3 :1

The angles are 3x , x

Supplementary angles add up to 180°

3x + x = 180

     4x = 180

       x = 180 ÷ 4

       x = 45°

3x = 3*45 = 135°

the answer to this is 40=

Step-by-step explanation:

I did this

Answer:

y=9+3x

Step-by-step explanation:

It starts with y=.

Then you have to put the 9 for the streaming service.

Then you add.

You multiply by 3 for all the x in the household plan.

Answer:

y = 9 + 3x

Step-by-step explanation:

$9 per month for a single user

$3 per month for additional users

Find monthly cost, y, where additional cost is represented by x

The cost for a single user = fixed cost (It remains constant)

The cost of the additional user = variable (It increases with the number of users)

The monthly cost increases with the number of additional users

The monthly cost = cost of single user + the cost of additional users

y = 9 + 3x

Red was rotated to form blue as the figure was turned in different directions.

What is rotation?

A rotation simply means a transformation that turns a figure about a fixed point called the center of rotation.

An object and its rotation are simply the same shape and size, but the figures may be turned in different directions. In this case, red was rotated to form blue.

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The required decreased value is given by 1.2425, 56g, 105.4L, 203m²

What are percentage?

percentage is the ratio of composition of matter to the overall composition of matter multiplied by 100.

1) Decrease 1.25km by 0.6%
    0.6% of 1.25km = 0.0075
    so total decrease = 1.25 - 0.0075
             = 1.2425
similarly,
2.) Decrease 64 g by 12 ½%
  12 ½% of 64g = 8g
   so total decrease = 64-8

                                 = 56g

3. Decrease 124 L by 15%
          15% of 124 = 18.6L
     so total decrease = 105.4L

4. Decrease 350m² by 42%
  42% of 350m² =  147m²
    so total decrease = 203m²

Thus, the required decreased value is given by 1.2425, 56g, 105.4L, 203m²

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Answer:

C. The note on the package only told customers to call in the event that they had a concern, which could bias the results negatively.

Explanation:

Since customers were only told to call if they had concerns, all of the calls were about concerns or problems that they were having - meaning all of the calls were negative. However, they were never informed to call if they were happy or content with the product, meaning they were never informed of the people who had positive comments, only negative.

Answer:

The first one is 5.83 or -5 5/6

The second one is -414 1/3

The last one is 290

Answer:

  b, c e

Step-by-step explanation:

A congruence statement lists corresponding parts in the same order. CPCTC says corresponding parts are congruent.

__

To see if any particular statement is consistent with CPCTC, identify the locations of the referenced parts in the congruence statement. If they match, the congruence is true

  a. l = r ... jkl = rst . . . . not in the same place

  b. jk = rs ... jkl = rst . . . . a match; true

  c. k = s ... jkl = rst . . . . a match; true

  d. j = s ... inconsistent with (c)

  e. kl = st ... jkl = rst . . . . a match; true

  f. jl = rs ... inconsistent with (b)

Statements b, c, e are consistent with the congruence statement, and are true by CPCTC.

Answer:

Graph B

Step-by-step explanation:

When graphing inequalities:

Given inequality:

[tex]y-5 > 2x-10[/tex]

Rearrange the given inequality to make y the subject:

[tex]\implies y-5+5 > 2x-10+5[/tex]

[tex]\implies y > 2x-5[/tex]

Therefore, we need to draw a dashed line and shade above it.

To draw the line:

Replace the > with = to find two points on the line:

[tex]\implies y=2x-5[/tex]

[tex]x=0 \implies y=2(0)-5=-5 \implies (0,-5)[/tex]

[tex]x=3 \implies y=2(3)-5=1 \implies (3,1)[/tex]

Plot the two found points: (0, -5) and (3, 1)

As the inequality is  y > 2x - 5

The inequality equation is solved and the solution is plotted on the graph

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

y - 5 > 2x - 10

On simplifying , we get

Adding 5 on both sides , we get

y > 2x - 5

where 2 is the slope and 5 is the the intercept

Now , let the first point be P ( 0 , -5 )

when x = 0 and y = -5

-5 > -5

And , the graph of the inequality is plotted

Hence , the inequality is solved

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The value of x, given the data From the question is 2

Left = Right (since the system is balanced)

3 + 3x = 2x + 5

Collect like terms

3x - 2x = 5 - 3

x = 2

Complete question

See attached photo

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The probability that the spinner will land on white for all three spins is 1/216

The probability is given as:

P(White) = 1/6

The event that the spinner lands on white all three times is:

White White White

The probability is then represented as:

P  = P(White)^3

So, we have:

P = (1/6)^3

Evaluate

P =1/216

Hence, the probability that the spinner will land on white for all three spins is 1/216

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Answer:

-150

or 150 degrees below 0

Step-by-step explanation:

The temp is -110. Dropping another 40 degrees means subtracting 40.

-110 - 40 = -150

answer :

A. y = – 4x + 5

Step-by-step explanation:

make y = 4x-5 equal to each of the answer choices and see if you get an answer

STEPS:

1.

make 4x - y = 5 into a y= equation

4x - y = 5 is  y = 4x-5

2.

then make y = 4x-5 equal to each of the answer choices and see if you get an answer

A.

4x-5 = -4x+5

8x = 10

x = 10/8 = 5/4

yes, it has one solution

its also an intersecting line because

one line has 4x and the other has -4x

4x and -4x are slopes and opposite signs so

the lines are intersecting

B.

4x-5 = 4x-5

since they are the same on both sides of the equal sign they have

infinite solutions

they are also both the same line

C.

2y=8x-10 when simplified is y=4x-5

so its just like choice B

they are also both the same line

4x-5 = 4x-5 which is

0 = 0

since they are the same on both sides of the equal sign

infinite solutions

they are also both the same line

D.

-2y=-8x-10 when simplified is y=4x+5

4x-5 = 4x+5 when you work it out you get the answer

0 = 5

since when you solve the equation and get 0 = 5

that means its there is no solution

its also parallel line because both lines have 4x as a slope

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Answer:

side QR = 12.6 cm, side RS = 7 cm, side QS = 10 cm

Step-by-step explanation:

The side opposite to biggest angle is the longest side

         In ΔQRS,

∠S > ∠R > ∠Q

∠S is the biggest and ∠ Q is the smallest angle.

So, the side opposite to ∠S, QR is the longest side and the side opposite o ∠Q , RS is the smallest side.

QR > QS > RS

QR = 12.6 cm  ; QS = 10 cm and  RS = 7 cm

By solving a system of equations, we will see that m measures 12 units.

Notice that we have 3 right triangles.

Then we can write the equations:

cos(a) = 6/m

For the small triangle on the left, where m is the hypotenuse.

cos(a) = m/(6 + 18)

For the larger triangle (the one composed of the two triangles).

Where in both equations, angle "a" is the one in the top left.

Then we have the system of equations:

cos(a) = 6/m

cos(a) = m/(6 + 18)

Then we can write:

6/m = m/(6 + 18)

If we simplify the expression, we get:

6*(6 + 18) = m^2

6*(24) = m^2

144 = m^2

√144 = m = 12

Then we conclude that m measures 12 units.

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Answer: y = f(x) = a + bx y = f(x) = a + bx y = f(x) =

explanation: The following is the formula for a linear function. y = f(x) = a + bx y = f(x) = a + bx y = f(x) = One independent variable and one dependent variable make up a linear function.

Answer:

I don't knowwwwwwwwwwwwwwww

Answer:

  a) 301.6 cm³

  b) 188.5 cm²

Step-by-step explanation:

The volume and lateral surface area of the cone can be found using the given dimensions with the given formulas. All that is needed is to substitute the appropriate values and do the arithmetic.

__

The volume is given by the formula ...

  V = 1/3πr²h

The dimensions are given on the diagram: r = 6 cm, h = 8 cm. Using these values in the formula, we find the volume to be ...

  V = 1/3π(6 cm)²(8 cm) = 96π cm³ ≈ 301.6 cm³

The volume of the cone is about 301.6 cm³.

__

The lateral area of the cone is given by the formula ...

  A = πrl

The dimensions are given on the diagram: r = 6 cm, l = 10 cm (the slant height). Using these values in the formula, we find the area to be ...

  A = π(6 cm)(10 cm) = 60π cm² ≈ 188.5 cm²

The area of the curved surface is about 188.5 cm².

The correct answer will be option B which is the ends of the graph will extend in the opposite direction.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

Given equation is as follows:-

y = 2x⁶ + 9x⁵ -7x³ -1

When the term -3x⁶ is added the equation will be reduced in the following form.

y = -3x⁶+2x⁶ + 9x⁵ -7x³ -1

y =-x⁶+9x⁵ -7x³ -1

When we plot the graph of the above equation we will see that the graph will be reduced to the form in which both the ends of the graph lie opposite to each other.

The graph of the equation is attached with the answer below.

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Answer:

B is the correct answer

Step-by-step explanation:

Step-by-step explanation:

I have solve all the questions and your work is to match with that option