Question 1 which of the following is the square of a binomial
a. M^2-2mn+n^2
b. c^2-cd+d^2
c. a^2+b^2
d. 4x^2-9y^2
Question 2
square the binomial (r+s). what is the result?​

Answers:

Sample Variance = 31.03

Sample Standard Deviation = 5.57

See the table below.

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Explanation:

M refers to the midpoint of each interval. The midpoint is [tex]M = \frac{a+b}{2}[/tex] where a,b are the left and right endpoints.

For example, [tex]M = \frac{0+4}{2} = \frac{4}{2} = 2[/tex] in the first row.

Multiply the frequency with the midpoint to get the third column. Summing this column of values leads to 4+49+180+153+154 = 540 shown at the bottom of that column.

Divide this sum over the sum of the frequencies (2+7+15+9+7 = 40) and we arrive at [tex]\overline{x} = \frac{540}{40} = 13.5[/tex] which is the sample mean xbar.

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After we determine xbar, we subtract it from each value of M. Then we square the result to get [tex](M - \overline{x})^2[/tex]. Multiply that with the column f to get the new column [tex]f(M-\overline{x})^2[/tex].

This column is added to arrive at 1210 shown in the table below. Divide this over the sum of the frequencies minus 1. So we divide by n-1 = 40-1 = 39 to get roughly 31.03

This is the sample variance.

The square root of this is sqrt(31.03) = 5.57 and this is the approximate sample standard deviation.

Answer:

Step-by-step explanation:

Volume of the figure = Base area * height

Base area:

Base area = area of trpezium + area of triangle

Trapezium:

a, b area the length of parallel sides and h is the height of trapezium.

a = 8 m ; b =  5 m & h = 3 m

[tex]\boxed{ \text{ Area of trapezium = $\dfrac{(a +b)*h}{2} $}}[/tex]

                               [tex]=\dfrac{(8+5)*3}{2}\\\\\\=\dfrac{13*3}{2}\\\\\\= \dfrac{39}{2}\\\\\\= 19.5 \ m^{2}[/tex]

Triangle:

height = 4 m & base = 8 m

[tex]\boxed{\text{Area of triangle =$\dfrac{1}{2}*base*height$}}[/tex]

                           [tex]=\dfrac{1}{2}*8*4\\\\\\= 4*4\\\\= 16 \ m^{2}[/tex]

Base area = 19.5 + 16

                 = 35.5 m²

Volume of the figure = Base area * height

                                     = 35.5 * 14

                                      = 497 m³

Answer:

9000 grams

Step-by-step explanation:

Keep in mind the conversion 1 kilogram = 1000 grams, as 1 kilo means 1000.

⇒ 1 kilogram = 1000 grams

⇒ Ben's dog = 9 kilogram = x kilograms = 1000x grams

⇒ x = 9

⇒ Ben's dog = 9 kilogram = 1000x grams

                                            = 1000(9) grams

                                            = 9000 grams

Answer:

Your answer is,

9000 grams

Step-by-step explanation:

Hope this helps you :)

pls mark brainliest <3

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`

`

``Tori

Answer:

a) c = 11.2
b) c = 2

Step-by-step explanation:
[tex]c^{2} = a^{2} + b^{2}[/tex]

c = line across from the right angle

Given Information :-

⠀

⠀

To Find :-

⠀

⠀

Formula Used :-

⠀

[tex] \qquad \diamond \: \underline{ \boxed{ \pink{ \sf Exterior ~angle = \dfrac {360^\circ}{no. ~of~sides}}}} \: \star[/tex]

⠀

Solution :-

⠀

Putting the given values, we get,

⠀

[tex]\sf \dashrightarrow Exterior ~angle = \dfrac{360 ^\circ}{10} \: \: \\ \\ \\ \sf \dashrightarrow Exterior ~angle = \frac{36 \cancel{0}^\circ}{ \cancel{10}} \: \: \\ \\ \\ \sf \dashrightarrow Exterior ~angle = \underline{ \boxed{ \frak{ \red{36^\circ}}}} \: \star \\ \\ [/tex]

Thus, the value of the exterior angles of a Decagon is 36°.

⠀

[tex] \underline{ \rule{227pt}{2pt}} \\ \\ [/tex]

Answer:

⠀

Explanation :

⠀

For a regular polygon of n sides, we have

[tex]{ \longrightarrow \qquad \pmb{ \it{Each \: exterior \: angle = { \bigg( {\dfrac{360}{n} } \bigg)^{ \circ} }}}}[/tex]

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Here, We are to find the measure of each exterior angle of a regular decagon.

⠀

⠀

Now, substituting the value :

⠀

[tex]\sf \longrightarrow \qquad Each \: exterior \: angle_{(Decagon)} = { \bigg( {\dfrac{360}{10} } \bigg)}^{ \circ} [/tex]

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[tex]\sf \longrightarrow \qquad Each \: exterior \: angle _{(Decagon)}= { \bigg( {\dfrac{36 \cancel0}{1 \cancel0} } \bigg)}^{ \circ} [/tex]

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[tex]\sf \longrightarrow \qquad Each \: exterior \: angle_{(Decagon)} = { \bigg( {\dfrac{36}{1} } \bigg)}^{ \circ} [/tex]

⠀

[tex]{\pmb{ \frak{ \longrightarrow \qquad Each \: exterior \: angle_{(Decagon)} = 36^{ \circ} }}}[/tex]

⠀

Therefore,

Answer:

See below

Step-by-step explanation:

8.2 + 2/3w  = 10.7 + 1/6 w

   1/2 w    = 2.5

      w = 5 weeks

In parallelogram SAVE, the value of the angle is m∠SEV = 125° while in parallelogram MORE ∠MOR = 111

A parallelogram is a quadrilateral with equal opposite and parallel sides. Opposite angles are equal.

In parallelogram SAVE:

m∠VAS = m∠SEV

3x - 5 = 2x + 15

x = 20

m∠VAS = 3(20) - 5 = 55 degrees

m∠VAS + m∠SEV = 180 (consecutive interior angles)

55 + m∠SEV = 180

m∠SEV = 125°

In parallelogram MORE:

∠MOR + ∠ORE = 180 (consecutive interior angles)

4x - 5 + 2x + 11 = 180

x = 29

∠MOR = 4(29) - 5 = 111

In parallelogram SAVE, the value of the angle is m∠SEV = 125° while in parallelogram MORE ∠MOR = 111

Find out more on parallelogram at: https://brainly.com/question/970600

Identify the variable expression that is “not” a polynomial.

Try looking for the one that breaks the rules of it being a polynomial.

Therefore, the resulting expression for the price Genevieve will pay

will be:  p - 100 - 3/20p

-lukelaws

The intervals indicated on the graph are:

-7 < x < -3, -3 < x < -1, & 1 < x < 3 are increasing

-1 < x < 1, & 3 < x < 5 are decreasing

5 < x < 7 is neither

The interval of a function is increasing when the line slopes upward to the right along the interval. This means that the function value would increase as the input values decrease within the given interval.

On the other hand, the interval decreases when the line of the function slopes downwards within the interval. This implies that as the function value decreases, the input values increase within the given interval.

Therefore, from the graph given, we can conclude that:

-7 < x < -3: increasing

-3 < x < -1: increasing

-1 < x < 1: decreasing

1 < x < 3: increasing

3 < x < 5: decreasing

5 < x < 7: neither

Learn more about interval of a function on:

https://brainly.com/question/1503051

Answer: 7.07

Step-by-step explanation:

The magnitude of the total velocity of the boat is 38 knots, and the direction is 32°, so the correct option is d.

First, we need to write need to find the component of the two given velocities.

For the boat, the magnitude is 28 knots and the angle is 36°, then the components are:

For the wind, the components are:

Adding these, the total components of the boat's velocity are:

Then the magnitude of the velocity is:

|V| = √( (31.92 knots)^2 + (20.21 knots)^2)  =37.78 knots

That can be rounded to 38 knots

To get the angle, we take the arctangent of the quotient between the y-component and the x-component:

a = Atan(20.21 knots/31.92 knots) = 32.34°

Then the correct option is d) 38 knots and 32°

If you want to learn more about velocity, you can read:

https://brainly.com/question/4931057

Answer:

It is 38 knots; 32 degrees

Step-by-step explanation:

The answer below is right

I took the test

Answer:

8

Step-by-step explanation:

Taking the quotient of two numbers means you are dividing one by the other. In this case, 40 is the dividend, and 5 is the divisor. This gets you 40/5=8 as the quotient.

If you multiply the quotient with the divisor, you get the dividend, as 8*5=40

Answer:

63.1%

631/1,000

Step-by-step explanation:

Answer:

3.

Step-by-step explanation:

You use a "centroid." There is a ratio. As provided, MW is 9. The ratio is 1:2, and CW is smaller. The answer is 3.

"The centroid is also known as the geometric center of the object. The centroid of a triangle is the point of intersection of all the three medians of a triangle. The medians are divided into a 2:1 ratio by the centroid." -cuemath .com > geometry > centroid-of-a-triangle

Answer:

2.25 miles

Step-by-step explanation:

1/4 of 9 is 2.25

Answer:

2.25 miles away

Step-by-step explanation:

first make 1/4 a percent

second set up a proportion

then solve the proportion and then you get 2.25 and add a label

~Denki Kaminari here~

Answer:

6

Step-by-step explanation:

because x is equal to 1, and y is equal to 2, all we need to do is skip count 3 times by 2 and you get your answer: 6!

hope this helps :D

Answer:

6

Step-by-step explanation:

Given that x = y so that means if y and x are same and have same values. Therefore if y = 2 then x = 2.

So substitute x = 2 in 3x:

3(2) = 6

Therefore, the solution is 6

Answer: the answer is 0.35 because

Square root of 546 is 23.3666428911

23.3666428911 divided by 67 is 0.34875586404

0.34875586404 rounded to 2 decimal points is 0.34875586404

the answer I had is 0.3487. first of all you have to find the square root of 546 which is 23.366 then you divide it by 67 which will give you 0.3487

Answer:

80 inches cubed

Step-by-step explanation:

V=bh

b= 5 x4 h=4

5 x 4 x 4 = 80

Answer:

all numbers except √34

Step-by-step explanation:

the top three are whole numbers and therefore rational

The lateral surface area of the triangular prism is 130 in sq. So, option D is the correct answer.

The lateral surface area of the triangular prism is the product of the perimeter of the base and length.

L = perimeter of the base × length.

The side of the base is given as 7in, 3in, and 3in

and the length is 10in

The lateral surface area of the triangular prism = perimeter of the base × length.

L = (7in + 3in + 3in) 10

L = 13 × 10

L = 130 in sq.

Hence, The lateral surface area of the triangular prism is 130 in sq. So, option D is the correct answer.

Learn more about prism;

https://brainly.com/question/1601740

Answer:

130 ig

Step-by-step explanation:

Answer:

Step-by-step explanation:

Compare the corresponding points, the best is vertices

Find the difference of coordinates, the rule of translation right and up

The formula of g(x) in therms of h(x) is:

Answer:

g(x) = h(x - 7) + 5

Step-by-step explanation:

Vertex of a parabola

The turning point (stationary point) of the curve.

To find the series of translations that transform the graph of y = h(x) onto y = g(x), compare the vertices of both graphs.

Vertex of h(x) = (-2, -7)

Vertex of g(x) = (5, -2)

Therefore, y = h(x) has been translated 7 units to the right and 5 units up.

Translations

For a > 0

[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]

Therefore:

Therefore, the formula for g(x) in terms of h(x) is:

g(x) = h(x - 7) + 5

Learn more about transformations here:

https://brainly.com/question/27845947

Answer:

5/8

Step-by-step explanation:

Just gonna fill up the required space here lol

Answer:

They are the same line. It means that they are overlapping line.

Answer:

Overlapping

Step-by-step explanation:

Divide every term of the second equation, it would be 2x + y = 6, which is the same as the first equation.

Answer:

x=−7 ±(7)2−4(1)(8)√2(1)

Step-by-step explanation:

I risked it all and got it right

There are three values of x where the instantaneous rate of change of f(x) are equal in the open and closed intervals

The function is given as:

[tex]f(x) = \frac 14x^4 - \frac 23x^3 + \frac 12x^2 - \frac 12x[/tex]

Calculate f(0)

[tex]f(0) = \frac 14 * 0^4 - \frac 23 * 0^3 + \frac 12 *0^2 - \frac 12 * 0[/tex]

[tex]f(0) = 0[/tex]

Calculate f(1.565)

[tex]f(1.565) = \frac 14 * 1.565^4 - \frac 23 * 1.565^3 + \frac 12 *1.565^2 - \frac 12 * 1.565[/tex]

[tex]f(1.565) = -0.613[/tex]

The average rate of change is then calculated using:

[tex]m = \frac{f(1.565) - f(0)}{1.565 - 0}[/tex]

This gives

[tex]m = \frac{-0.613 - 0}{1.565 - 0}[/tex]

[tex]m = -0.392[/tex]

Differentiate the function f(x)

[tex]f'(x) = x^3 - 2x^2 + x - \frac 12[/tex]

Set f'(x) to [tex]m = -0.392[/tex]

[tex]x^3 - 2x^2 + x - \frac 12 = -0.392[/tex]

From the graph of the above equation (see attachment), we have three values of x at:

x = 0.1492, x = 0.5614 and x = 1.2894

Hence, there are three values of x in the open interval (0,1.565)

Read more about instantaneous rate at:

https://brainly.com/question/24592593

Answer:

  3, 52

Step-by-step explanation:

The given relation can be expressed by the equation ...

  x +(17x +1) = 55 . . . . . . where x represents the smaller number

__

Solution

  18x = 54 . . . . . . . . . collect terms, subtract 1

  x = 3 . . . . . . . . . divide by 18

The smaller number is 3. The larger number is 55-3 = 52.

Answer:

Step-by-step explanation:

Isolate the term of e from one side of the equation.

First, you subtract by 3 from both sides.

⇒ 2e+3-3=5-3

Solve.

Subtract the numbers from left to right.

⇒ 5-3=2

Rewrite the problem down.

⇒ 2e=2

Divide by 2 from both sides.

⇒ 2e/2=2/2

Solve.

Divide the numbers from left to right.

⇒ 2/2=1

⇒ e=1

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

e = 1

Step-by-step explanation:

Subtract 3 both sides:

⇒ 2e + 3 = 5

⇒ 2e + 3 - 3 = 5 - 3

⇒ 2e = 2

Divide both sides by 2:

⇒ 2e = 2

⇒ 2e/2 = 2/2

⇒ e = 1