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(Ⅰ) 2v² - 2v³ - 7 + 7v :

Standard Form → 2v³ + 2v² + 7v - 7v

Number of terms → Four (Polynomial)

Degree of Polynomial → Highest degree 3 (Cubic)

(Ⅱ) -3m -8m -7m²

Standard Form → -7m² - 8m - 3m

Number of terms → Three (Trinomial)

Degre of Polynomial → Highest degree 2 (Quadratic)

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Answer:

3.5

Step-by-step explanation:

The interquartile range is the difference between the third and first quartile

IQR = Q3 - Q1

From the dot plot given :

The data, X could be culled :

X = 43, 44, 44, 44, 45, 45, 47, 48, 48

n = 9

Q3 = 3/4(n + 1)th term

Q3 = 3/4(10) = 7.5th term = (47 + 48) / 2 = 47.5

Q1 = 1/4(n + 1)th term

Q1 = 1/4(10) = 2.5th term = (44 + 44) / 2 = 44

Q3 - Q1 = 47.5 - 44 = 3.5

Answer:

3.5

Step-by-step explanation:

smart

Solve the equation for

x

by finding

a

,

b

, and

c

of the quadratic then applying the quadratic formula.

Exact Form:

x

=

−

3

±

√

6

3

Decimal Form:

x

=

−

0.18350341

…

,

−

1.81649658

…

The general equation of the sinusoid is  [tex]f(x)=sinx[/tex]

"A sine wave or sinusoidal is a continuous or mathematical curve which is used to describe a smooth periodic oscillation."

We know,

A Sinusoidal function is a function that can be modelled using a sine wave.

The sine graph repeats itself after a period of 2π, which shows the function is periodic with a period of 2π.

f (x) = sin x and f (x) = cos x are similar apart from a phase shift, both functions are sinusoidal.

f (x) = tan x is a trigonometric function, but its graph is completely different.

The graph of a sinusoidal function is a smooth periodic graph.

The graph is continuous all over the x-axis and also it repeats itself after every fixed interval.

∵ A phase shift is the only difference between sine and cosine, any sinusoidal function that can be modelled using sine can also be modelled using cosine.

The general sinusoidal function is  [tex]f(x)=[/tex]±[tex]a.sin(b(x+c))+d[/tex]

Where as,

± controls the reflection across the x - axis, coefficient a controls the amplitude , constant d controls the vertical shift, coefficient b controls the horizontal stretch.

∴ The general equation of the sinusoid is  [tex]f(x)=sin x[/tex]

Learn more about Sinusoidal function here

https://brainly.com/question/14323368

#SPJ2

Answer:

y= sin (1/2x)

Step-by-step explanation:

Answer:

√98-17

=√ 81

=√ (9)^2

=9 is ans

Answer:

[tex] \sqrt{98 - ( 17)} [/tex]

[tex] {\sqrt{81}} [/tex]

[tex] {\sqrt{9²}} [/tex]=±9

is your answer

Answer:

6.

Step-by-step explanation:

A simple machine can be defined as a type of machine with no moving parts but can be used to perform work.

Basically, a simple machine allows for the transformation of energy into work. The six simple machines are; lever, wedge, inclined plane, screw, wheel and axle, and pulley.

A pulley is typically made up of a wheel and rope which allows force to be multiplied such as in a drawing well.

In order to construct a compound pulley with an ideal mechanical advantage of 6 you would arrange several fixed and movable pulleys so that a total of 6 rope segments were pulling up on the load.

Hence, you need 6 pulley wheels and 6 rope segments to construct a compound pulley with an ideal mechanical advantage of 6.

To find the ideal mechanical advantage;

Mathematically, IMA is given by the formula;

[tex] IMA = \frac {distance \; over \; which \; the \; effort \; is \; applied}{distance \; the \; load \; travels} [/tex]

NB: The ideal mechanical advantage has no units.

Answer:

B) 4 one-point baskets: 5 three-point baskets

Step-by-step explanation:

(4 x 1) + (5 x 3) = 19

Answer:

B

Step-by-step explanation:

5x3=15

4x1=4

15+4=19

PLUS a total of 9 baskets.

Therefore, your answer is B

Answer:

[tex]9x - 19 = 7x + 13 \\ 2x = 32 \\ x = 16 \\ 3y - 17 + 9x - 19 = 180 \\ 9x + 3y = 180 + 17 + 19 \\ 9x + 3y = 216 \\ 3y = 216 - 144 = 72 \\ y = \frac{72}{3} = 24[/tex]

Answer:

88

Step-by-step explanation:

43 + 49= 92.

Then 180 - 92= 88

C= 88

Answer:

ɪ ʟᴏᴠᴇ ʏᴏᴜ sᴏ ᴍᴜᴄʜ ᴘʟssssss

Answer:

A. a cube

B. a square prism

C. a rectangular prism

Step-by-step explanation:

The net of a given shape is the description of  its three dimensional surfaces  in two dimensional plane. From the given question, the 6 rectangular net of the shape has a condition that: the 6 rectangles may or may not be squares. Thus, the figure could be;

i. a cube

ii. a square

iii. a rectangular prism

The three options above have surfaces that could either be squares or rectangles.

Answer:

absolute value or modulus of a real number x, denoted |x|, is the non-negative value of x without regard to its sign. Namely, |x| = x if x is positive, and |x| = −x if x is negative (in which case −x is positive), and |0| = 0.

Step-by-step explanation:

Answer:

x=94 or -94

Step-by-step explanation:

x=94 or -94

Answer:

15 + 7c or 15 + 7 * c

Hope this helps!

Answer:

B    -1/4

Step-by-step explanation:

To find the common ratio, divide any term by the previous term.

1/16 ÷ -1/4 = 1/16 * -4 = -4/16 = -1/4

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

Explanation:

Pick any term of the sequence that isn't the first term. Divide whatever you picked by the previous term. That will compute the common ratio. This applies to geometric sequences only.

So let's say we pick on term 3 and divide it over term 2. That will get us...

[tex]r = \left(\text{3rd term}\right) \div \left(\text{2nd term}\right)\\\\r = -\frac{1}{64} \div \frac{1}{16}\\\\r = -\frac{1}{64} \times \frac{16}{1}\\\\r = \frac{-1*16}{64*1}\\\\r = -\frac{16}{64}\\\\r = -\frac{16}{16*4}\\\\r = -\frac{1}{4}\\\\[/tex]

Where r is the common ratio.

As another example, let's say we picked on term 4 and divided it over the third term

[tex]r = \left(\text{4th term}\right) \div \left(\text{3rd term}\right)\\\\r = \frac{1}{256} \div -\frac{1}{64}\\\\r = \frac{1}{256} \times -\frac{64}{1}\\\\r = \frac{1*(-64)}{256*1}\\\\r = -\frac{64}{256}\\\\r = -\frac{64}{64*4}\\\\r = -\frac{1}{4}\\\\[/tex]

We get the same result. I'll let you try dividing the second term over the first term. You should get r = -1/4 after simplifying.

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

Because the common ratio is r = -1/4, this means that we multiply each term by the common ratio to generate the next term.

For instance,

term 3 = (term 2)*(common ratio)

term 3 = (1/16)*(-1/4)

term 3 = -1/64

which matches with the given sequence

Answer:

(4.36x10^7)x(5.6x10^4)

Step-by-step explanation:

To answer the question what is 43600000 in scientific notation let’s recall how to convert 43600000 to scientific notation as detailed on our home page.

When you split the number 43600000 into a coefficient and a power of 10 you do get 43600000 in exponential form, but there is an indefinite number of possibilities.

As you probably want 43600000 in normalized scientific notation, the coefficient or significand of 43600000 in scientific notation must be in the interval [1,10[.

As there are many ways to express 43600000 in scientific notation, in this post we mean 43600000 in normalized scientific notation, unless stated otherwise. Therefore:

43600000 in scientific notation = 4.36 × 107.

Now you can do that for the other one to found out what it is equal to.  

Answer:

The area of the trapezoid you have provided is 24.6

Step-by-step explanation:

The area of a trapezoid is :

[tex]0.5h(b_1 + b_2)[/tex]

Just do some substitution:

[tex]0.5 * 6 * (2 + 6.2) = 3 * 8.2 = 24.6[/tex]

Answer:

(x – 3)^2+ (y +2)^2 = 36

Step-by-step explanation:

Given data

The formula for the equation of a circle is (x – h)2+ (y – k)2 = r^2,

where (h, k) represents the coordinates of the center of the circle

h=3

k=-2

r= 6

Substitute

(x – 3)^2+ (y – (-2))^2 = 6^2

(x – 3)^2+ (y +2)^2 = 36

Hence the expression for the equation of the circle is

(x – 3)^2+ (y +2)^2 = 36

Answer:

CD = 16

Step-by-step explanation:

We can see that both AC and AB are radii. This means that they are equal, so AC = AB = 17. From segment addition postulate we can say AB = AE + BE

We are given BE, and we found the length of AB, so we can substitute and solve for AE:

AB = AE + BE

17 = AE + 2

AE = 15

Since we are given that AB is perpendicular to CD, ∠AEC would be a right angle, making ΔAEC a right triangle.

Now, we can use the pythagorean theorem to find the length of CE.

a^2 + b^2 = c^2

We are given the hypotenuse, c or AC in this case, and one leg, b, or AE in this case. We can plug in the values we are given:

CE^2 + AE^2 = AC^2

CE^2 + 15^2 = 17^2

CE^2 + 225 = 289

CE^2 = 64

CE = 8

Now, if a chord is perpendicular to a radius(AB in this case) we can say that it is split in half by the radius. This is basically saying that CE = DE = 8.

Again, using segment addition postulate, we can say:

CE + DE = CD

CD = 8 + 8

CD = 16

Answer:

look at the picture i sent......

Answer:

2/5

Step-by-step explanation:

Answer:

exponential dacay

hope it is helpful.. correct ans..

Answer:

17 meters

Step-by-step explanation:

Plug x=30 into the equation H(x) = 11 + 0.2x

H(30) = 11 + 0.2 * 30

H(30) = 11 + 6

H(30) = 17

Thus, the answer is 17 meters.

Answer:

b. 4ft

Step-by-step explanation:

thank you for the points, have an amazing day! :)

Answer:

C.

Step-by-step explanation:

We need to use the Pythagorean theorem to complete this problem. We are given the hypotenuse and the base of the triangle in the middle. The hypotenuse is 5 and the base is 3.[tex]5^{2}[/tex] + [tex]3^{2}[/tex] = [tex]a^{2}[/tex] is what we will complete.

[tex]5^{2} +3^{2} = a^{2}[/tex]

[tex]25 + 9 = 34[/tex]

[tex]34 = a^{2}[/tex]

[tex]\sqrt{34} =a[/tex]

Therefore, the answer is C.

Answer:

You can set up the ratio 12.4:18.6 because it says that the parallelograms are similar.

Now simplify as much as possible

12.4:18.6

6.2:9.3

2:3

Step-by-step explanation:

Hope this helps! If it's wrong let me know so i can re-check it.

Answer:

107

Step-by-step explanation:

Given

See attachment for boat and hiker

Required

The distance between the boat and the hiker

To do this, we make of sine rule.

[tex]\frac{a}{\sin A} = \frac{b}{\sin B} =\frac{c}{\sin C}[/tex]

In this case:

[tex]x = ??[/tex]

[tex]X = 68[/tex]

[tex]a = 66[/tex]

[tex]A = 35[/tex]

So, we have:

[tex]\frac{x}{\sin 68} = \frac{66}{\sin 35}[/tex]

Make x the subject

[tex]x = \frac{66}{\sin 35} * \sin 68[/tex]

Using a calculator, we have:

[tex]x = \frac{66}{0.5736} * 0.9272[/tex]

[tex]x = 115.063* 0.9272[/tex]

[tex]x = 106.68[/tex]

[tex]x \approx 107[/tex]

Answer:

3 1/2

Step-by-step explanation:

Answer:

Exact Form: 7/2

Decimal Form: 3.5

Mixed Number Form: 3 1/2

Step-by-step explanation: