which polynomials are in standard form?

choose all answers that apply:

a. 3z-1
b. 2+4x-5x^2
c. -5p^5+2p^2-3p+1
d. none of the above

Answer:

c) similar by the AA rule

Answer:

Mean: 34.8

median:34

Mode: 13,34

Range:65

Step-by-step explanation:

The value of Mean is 34.4

The value of Median is 34 (middle term)

The value of Mode is 13 and 34.

The value of Range is 56.

Here,

The data set is,

53, 13, 34, 41, 26, 61, 34, 13, 69

We have to find the value of Mean , Median , Mode and Range.

What is Range of the data set?

To find Range of the data set we have to find the difference of highest and lowest number of the set.

Now,

The data set is,

53, 13, 34, 41, 26, 61, 34, 13, 69

Firstly we arranged in the ascending order we get;

13, 13, 26, 34, 34, 41, 53, 61, 69

The Mean of data set is calculated as;

Mean = [tex]\frac{13+13+ 26+ 34+ 34+41+ 53+61+ 69}{9} = \frac{310}{9} = 34.4[/tex]

Hence, The value of Mean is 34.4

And, The Median is calculated as,

There are nine numbers (odd) in the data set, so the median is the middle value of given data set after arranging in ascending order.

Hence, The value of Median = 34 (middle term)

Now, The Mode is the number that appears most often within a data set.

In the data set,

13, 13, 26, 34, 34, 41, 53, 61, 69

Number 13 and 34 repeat two times.

So, The value of Mode = 13 and 34

Now, To find Range of the data set we have to find the difference of highest and lowest number of the set.

Here, In the data set;

The highest number = 69

The lowest number = 13

Hence, Range = 69 - 13 = 56

Therefore,

The value of Mean is 34.4

The value of Median is 34 (middle term)

The value of Mode is 13 and 34

The value of Range is 56

Learn more about the range of data set visit:

https://brainly.com/question/24326172

#SPJ2

Answer:

Total Money= $250

Fence Price=$22.50/m

Metres can buy= $250/22.50= 11.11 metres

Answer: m is the slope and b is the y-intercept.

Step-by-step explanation:

it is understandable that the x has a coefficient of 1, so the m is 1 . and the y-intercept( b ) is −4 .

Answer:

We note that the equation that is compatible with the given equation is the kinematic equation of free fall where;

t² = 39.2 × 2/9.81

From which we have;

The time it takes the snowball to reach the ground is approximately 2.83 seconds

Step-by-step explanation:

The height of the building from which the ball is dropped, h = 39.2 m

The equation of the dropped a snowball, is given as follows;

t² = 39.2 × 9.8

Using the From the equation of free fall, we have;

s = u·t + 1/2·g·t²

Where;

u = The initial velocity = 0 m/s

t = The time of flight

g = The acceleration due to gravity = 9.81 m/s²

Therefore, we get;

∴ s = The height from which the snowball is dropped = 39.2 m

Therefore, we get;

39.2 = 0×t + 1/2×9.81×t²

∴ t² = 39.2 × 2/9.81  ≈ 7.99

t = √(7.99) ≈ 2.83

The time it takes the snowball to reach the ground, t ≈ 2.83 s.

Answer:

2 seconds

Explanation:

I had to do this assignment that's the correct answer

Answer:

Selling price : $52

Step-by-step explanation:

First, find 30% out of 40.

x= (40)(30)=1200/ 100= 12

x=12

Add 30% to the original selling price.

So then you add $12 to $40 to get $52.

Answer:

Go two back away from -5

Step-by-step explanation:

I don't know how to explain this but like start at -5 and then go back two?

Or start at -10 and go forward 3

hope it helps :)

Answer:

Step-by-step explanation:

The square root of a negative number is an irrational value

Answer:

✓-1 is an error but according to the rule of mathematics -1 is still the same thing as 0

✓0 is = 0

Answer:

y = 2x + 7

Step-by-step explanation:

ALgebra is my best subject! Have a good day!

Answer:

C

Step-by-step explanation:

1/10 = 10/100

So 10/100 + 88/100 = 98/100

Answer:

6 + 4d + 11c

Step-by-step explanation:

In order to find the perimeter, you add up all the side lengths which would be expressions in this case

(10c + 10) + (c + 5) + (4d - 9)

add like terms: (10c + c) + (10 + 5 - 9) +4d

= 11c + 6 + 4d

which is the same as 6 + 4d + 11c, I just added them in a different order.

Answer:

Step-by-step explanation:

10 yards by 15 yards

Step-by-step explanation:

Let the dimensions of each plot x yards by y yards.

If three plots are placed as the y-yards side are common to them then,  

The total perimeter will be (6x + 4y) = P = 120 yards {Given} ........... (1)

⇒ 3x + 2y = 60 ........... (2)

Now, the total area of the three plots will be 3xy = A = 450 sq, yards {Given} .......... (3)

Now, solving equations (2) and (4) we get,

⇒ 225 + y² = 30y

⇒ y² - 30y + 225 = 0

⇒ (y - 15)² = 0

⇒ y = 15 yards.

Hence, from equation (4) we get,

x = 150/15 = 10 yards.

Therefore, the dimensions of each plot are 10 yards by 15 yards.

Answer:

1.16*10⁻¹ or 1.16E-1

Step-by-step explanation:

(5.8*10⁻⁶)(2*10⁴)

5.8*2*10⁻⁶*10⁴

11.6*10⁻²

1.16*10⁻¹

1.16E-1

Answer:

57in^2

Step-by-step explanation:

Divide the shape into 2 recatngles.

Imagine a line cuts away a rectangle of length 12in by width 4in. from a square  of length (12-9)in. and width (7-4)in

This gives you 2 different shapes

Find their area

Rectangle one has an area of = 12in x 4in = 48in^2

Square has an area of = (12-9) in x (7-4) in = 3x 3 inch = 9in.^2

Find their sum to find the area of the whole compound shape:

48+9 = 57in^2

Hope this helps

the answer to the question is 0.1

Answer:

1/10 or 0.1

Step-by-step explanation:

You first rewrite the problem as 2/5÷4/1. Then you flip the second fraction for multiplication: 2/5*1/4. Now you multiply both numerators and denominators to get a final total of 2/20 which equals 1/10 or 0.1.

Answer:

the successful candidate won the election with a 24% margin.

Step-by-step explanation:

With the infomation provided, first you need to find the total amount of votes by adding the number of votes that the successful candidate registered plus the number of votes that his nearest rival secured:

577,500+ 348,700=926,200

Next, you need to find the percentage of votes that the successful candidate registered and that the nearest rival secured by dividing the number of votes by the total amount of votes and multiplying the result for 100:

577,500/925,200=0.62*100=62%

348,700/926,200=38%

Now, you need to find the difference between both percentages to get the margin:

62%-38%=24%

According to this, the answer is that the successful candidate won the election with a 24% margin.

Answer:

expresión

Step-by-step explanation:

Answer:

Step-by-step explanation:

Either the question is displayed incorrectly, or some crucial information has been omitted.

Answer:

Q'R'

Step-by-step explanation:

Given

Quadrilateral PQRS

Reflected over x-axis

Required

Congruent side to QR

This question has a missing attachment, but can still be solved without the attachment.

When a shape is reflected, the sides and the angles of the shape remain unchanged.

This means that when PQRS is reflected to give P'Q'R'S, the following sides will be congruent.

[tex]PQ = P'Q'[/tex]

[tex]QR = Q'R'[/tex]

[tex]RS = R'S'[/tex]

[tex]SP = S'P'[/tex]

Hence, QR will be congruent to Q'R'

Answer:

False

Step-by-step explanation:

Answer:

x = 11

Step-by-step explanation:

Assuming that segment EG is a diameter we can solve this using the straight angle theorem ( Which states that angles on a straight line add up to equal 180. Also note that central angles and there corresponding arcs are congruent. )

We are also told that CH is a bisector.

A bisector splits an angle into TWO EQUAL parts.

mDG is split into mDC and mCG

So mDC = mCG

This meaning that because mDC = 7x + -1 , mCG also equals 7x - 1

Leading to us having enough information to use the straight line theorem ( which also works with half circles and arcs. )

So 180 = 2 ( 7x - 1 ) + 2x + 6

now we solve for x

step 1 distribute the 2

2 * 7x = 14x

2 * - 1 = -2

now we have 180 = 14x - 2+ 2x + 6

step 2 combine like terms

14x + 2x = 16x

-2 + 6 = 4

now we have 180 = 16x + 4

step 3 subtract 4 from each side

4 - 4 cancels out

180 -  4 = 176

Now we have 176 = 14x

step 4 divide each side by 14

176 / 16 = 11

14x/14 = x

we're left with x = 11

Answer:

42

Step-by-step explanation:

The remaining sheets of paper can be find in this way:

8-2 = 6

for each sheet of paper she drew 7 stars, so the total can be find in this way:

6 x 7 = 42 stars

Answer: Formula: ½ x base x height or ½ b x h or ½ bh The base is measured by length The height is measured by length The height and the base must form a 900 angle. 900 angle is a right angle.

Step-by-step explanation:

Answer:

its a on edg 2021

Step-by-step explanation:

The median age of a man at the time of his first marriage is, on the average, constant.

It represents the average amount by which the function changed per unit across the time period. It is calculated using the slope of the line connecting the interval's ends on the function's graph.

Assuming that the United States Bureau of the Census conducts a formal census of everyone in the United States every ten years, the following data provides the median age of an American man at the time of his first marriage.

Determine the rate of change between 1950 and 1960.

The average rate of change = [f(a) - f(b)]/ [ a - b ]

The average rate of change is equal to (22.8 - 22.8) / 10 = 0.

As a result, the average rate of change between 1950 and 1960 is zero. B is the right answer.

learn more about average rate of change here:

brainly.com/question/11627203

#SPJ7

Answer:

option A

Step-by-step explanation:

(X - 2) is the answer

hope it helps

Answer:

[tex]a_{n}[/tex] = 3n + 77

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 80 and d = a₂ - a₁ = 83 - 80 = 3 , then

[tex]a_{n}[/tex] = 80 + 3(n - 1) = 80 + 3n - 3 = 3n + 77

Answer:

54

Step-by-step explanation:

The square in the middle = 36, as 6x6=36

There are 2 triangles on each side of the center square.

Since the base of the trapezoid is 12, and the base of the square is 6, that leaves 3 for the base of each triangle.

3x6=18x1/2 (As a triangle's area is b (base) x h (height) x (one half) 1/2

18x1/2 is 9.

Each triangle equals 9.

36+9+9=54

The final answer is 54

Given:

A circle with center Z and the points W, X, Y are on the circumference of the circle.

To find:

The measure of angle WXY.

Solution:

From the given figure, we get

[tex]Arc(XY)=156^\circ[/tex]

[tex]Arc(WX)=86^\circ[/tex]

The measure of arc of the complete circle is 360 degrees.

[tex]Arc(WX)+Arc(XY)+Arc(WY)=360^\circ[/tex]

[tex]86^\circ+156^\circ+Arc(WY)=360^\circ[/tex]

[tex]Arc(WY)=360^\circ-86^\circ-156^\circ[/tex]

[tex]Arc(WY)=118^\circ[/tex]

The measure of arc WY is 118 degrees. It means the central angle on this arc is also 118 degrees.

[tex]m\angle WZY=118^\circ[/tex]

According to the central angle theorem, the inscribed angle on an arc is always half of its central angle.

[tex]m\angle WXY=\dfrac{m\angle WZY}{2}[/tex]

[tex]m\angle WXY=\dfrac{118^\circ}{2}[/tex]

[tex]m\angle WXY=59^\circ[/tex]

Therefore, the correct option is A.

Answer:

A

Step-by-step explanation:

Slope-intercept form: y=mx+b

2x+3y = 12

3y = 12-2x

y = (12-2x)/3

y = 4-2/3x

Here we can see that the slope is -2/3 and y-intercept 4. We already got the answer so we dont need to try the other options.