Using long division, what is the quotient of 3x^4 + 20x^3+ 14x^2+ 17x + 30 and X+6?

Answer:

First option [tex]0, \frac\pi2, \pi, \frac{3\pi}2[/tex]

Step-by-step explanation:

first of all, let's replace the lhs with the equivalent in sine (from the pythagoran identiy on sine and cosine)

[tex]1-sin^2\theta =1-sin\theta[/tex]

At this point we take 1 from both side, and change signs just out of convenience.

[tex]\sin^2\theta =sin\theta[/tex]

Now we have 2 options. If [tex]sin \theta =0 \leftrightarrow \theta = k\pi[/tex] the equation is verified, and we got two solutions [tex]\theta =0; \theta = \pi[/tex]. Else, we can divide by [tex]sin\theta[/tex] and we get

[tex]sin\theta = 1 \leftrightarrow \theta = \frac\pi2+k\pi[/tex].

We can add everything together and write

[tex]\theta = k\frac\pi2; k\in\{0,1,2,3\}[/tex] or, in our case, the first answer.

Answer:

$0.22

Step-by-step explanation:

$0.44 -1/2 cup = $0.22

Answer:

b jdjjsgd

Step-by-step explanation:

edge 2020hianhisis

Answer:

11c

Step-by-step explanation:

They are like terms meaning they all have the same variable you can just add them.

4c+c+6c

11c

Answer:

11c

Explanation:

We are given the expression:

4c+c+6c

We can simplify by combining like terms.  All three terms have a “c” so they can all be combined.

Factor out a “c” and add the coefficients.

4c+1c+6c

(4+1+6)c

(11)c

11c

4c+c+6c simplified is 11c

Answer:

Actual: 34 Estimated: 40

Step-by-step explanation:

The difference between these values is that the actual difference is more accurate. If you're asking for the difference as in subtracting, then 7 is the answer. Hope this helps :)

Answer:

6

Step-by-step explanation:

Actual values = 55 - 21

                         = 34

Estimated values = 60 - 20 = 40

Difference between actual and estimated values = 40 - 34 = 6

The simplification of square root 12 x is [tex]\mathbf{2 \sqrt{3x}}[/tex] and the square root of 8 is [tex]\mathbf{2 \sqrt{2}}[/tex]

Surds is a mathematical expression of numbers in square roots that cannot be changed to real numbers but be further simplified into irrational numbers.

From the given information.

The simplification of [tex]\mathbf{\sqrt{12x}}[/tex] is:

[tex]\mathbf{= \sqrt{4 \times 3x }} \\ \\ \mathbf{= 2\sqrt{ 3x }}[/tex]

The simplification of the  [tex]\mathbf{\sqrt{8 }}[/tex] is determined by factoring 8:

i.e.

[tex]\mathbf{= \sqrt{4 \times2 }} \\ \\ \mathbf{= 2\sqrt{ 2}}[/tex]

Learn more about surds here:

https://brainly.com/question/24700530

Answer:

3/6

Step-by-step explanation:

15 - (6+3) = 6

6 ÷ 2 = 3

number of red is 6

and green is 3

3/6

Answer:

2x-10+x+x+10=180, or 4x=180

Step-by-step explanation:

So since the total is 180, you add them all up like an equation.

So,

2x-10+x+x+10

Combine like terms

4x=180

x=45

Then plug it back in to the equations.

x=45

(2x-10)=80

(x+10)=55

Answer:

its the 3 one

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Rotates 270 Degrees clockwise and translates left and up.

Answer:

4/5

Step-by-step explanation:

The sine ratio is defined as the opposite leg/hypotenuse.  The opposite leg is 4 and the hypotenuse is 5.

Answer:

420

Step-by-step explanation:

Prime Number: a whole number greater than 1 that cannot be made by multiplying other whole numbers

First prime numbers: 2, 3, 5, 7, 11, 13, 17, ...

Prime Factorization: prime numbers that multiply together to make the original number.

LCM = least common multiple: smallest positive number that is a multiple of two or more numbers

Start by finding the prime factorization of each number.

Start with the smallest prime number: 2

70 ÷ 2 = 35

35 is not divisible by 2 or 3, but is divisible by 5:

35 ÷ 5 = 7

7 is a prime number, so cannot be divided any further

So  70 = 2 × 5 × 7

Start with the smallest prime number: 2

84 ÷ 2 = 42

Again divide by 2:

42 ÷ 2 = 21

Now divide by 3:

21 ÷ 3 = 7

So  84 = 2 × 2 × 3 × 7

Write each number as a product of primes, matching primes vertically when possible

84 = 2 × 2 × 3       × 7

70 = 2             × 5 × 7

Now bring down the primes in each column. The LCM is the product of these factors.

LCM = 2 × 2 × 3 × 5 × 7 = 420

Answer:

Yes

Step-by-step explanation:

We can use the Pythagorean Theorem to check if this triangle is a right triangle:

[tex]a^2+b^2=c^2[/tex]

Note that [tex]a[/tex] and [tex]b[/tex] are the legs of the triangle and [tex]c[/tex] is the hypotenuse:

Substitute the lengths of the sides into the equation:

[tex]60^2+63^2=87^2[/tex]

[tex]3600+3969=7569\\7569=7569[/tex]

Therefore this triangle is a right triangle.

Answer:

2(4x - 8y) - 9x + 7

8x - 16y - 9x + 7

-1x - 16y + 7

Answer:

73 and 44 hours

Step-by-step explanation:

correct if im wrong

Answer:

0 is your answer..........

Answer:

97

Step-by-step explanation:

PEMDAS

6 * 8 * (1 + 1) - 3 + 4

Parenthesis first!

6 * 8 * 2 - 3 + 4

Multiplication/Division {Left to right}

48 * 2 - 3 + 4

96 - 3 + 4

Addition/Subtraction {Left to right}

93 + 4

97

Answer: 16 degrees

Step-by-step explanation:

(3x - 18) = 66

Because vertically opposite angles are equal

66 - 18 = 48

48 divided by 3 = 16

Answer:

(1) 4.5 feet per second

Step-by-step explanation:

Given;

distance traveled by Laura, d = 54 feet

time to taken for Laura  to cover this distance, t = 12 seconds

Laura's speed is given by the following equation;

speed = distance / time

Laura's speed = 54 ft / 12 s

Laura's speed =  4.5 feet per second

Therefore, the speed with which Laura is walking is 4.5 feet per second.

Answer:

No, the slope's are not the same

Short-cut explanation:

Simply count the spaces between the two lines at the very top then compare to the number of space between at the very bottom of the graph.

There are 2 spaces between the two lines at the top. There seems to be 1 and 1/2 spaces at the very bottom.

[tex]2\neq 1.5[/tex] , therefore, not parallel.

If they are the same, then it is parallel. Although, in this case, it is not(Shown on the graph).

Answer:

Basic Concept:

A criterion for parallel lines is that they should have equal slopes. If the slopes of these lines is equal, these lines are parallel and are intersecting if the slopes are not equal

let the line on the left be 'line 1' and the line on the right be 'line 2'

Slope of Line 1:

We are given 2 points on the line and we will use them to get its slope

We know that the slope of a line is the change in its y-ordinate divided by its change in x - ordinate

The points given are:      (-3 , -5)              and           (0 , 4)

Change in x:

The change in x of these 2 coordinates can be calculated by subtracting their x- ordinates

Change in x (Δx) = x1 - x2

Δx = -3 - 0

Δx = -3

Change in y:

The change in y of these 2 can similarly be calculated by subtrating the y-ordinates

change in y (Δy) = y1 - y2

Δy = -5 - 4

Δy = -9

Slope of the line:

Since the slope = Δy / Δx

Replacing the known values:

Slope = -9 / -3

Slope = 3

Therefore, the slope of 'line 1' is 3

Slope of Line 2:

We are given 2 points on the line and we will use them to get its slope

We know that the slope of a line is the change in its y-ordinate divided by its change in x - ordinate

The points given are:      (0 , -6)              and           (4 , 4)

Change in x:

The change in x of these 2 coordinates can be calculated by subtracting their x- ordinates

Change in x (Δx) = x1 - x2

Δx = 0 - (4)

Δx = -4

Change in y:

The change in y of these 2 can similarly be calculated by subtrating the y-ordinates

change in y (Δy) = y1 - y2

Δy =  -6  - 4

Δy = -10

Slope of the line:

Since the slope = Δy / Δx

Replacing the known values:

Slope = -10 / -4

Slope = 5/2

Therefore, the slope of 'line 2' is 5/2

Conclusion:

We have calculated the slope of both the lines.

now, we will compare the slopes to find out if the lines are parallel or not

Slope 1 = 3

Slope 2 = 5/2

Since the slopes are NOT equal, the lines are not parallel

94.239 is already rounded to the nearest thousand as the no. of digits after the decimal place is three.

We round off numbers to make them easier to remember and it also keeps their value approximately to the place it has been rounded off.

To round off any number to any place we'll look for the digit next to that place and if it is equal to or greater than 5 we'll add one to the previous digit and make all the digits after it zeroes and if the digit is less than 5 we do not add one to the preceding digit and simply make all the digit after it to zeroes.

Given, 94.239 rounded to the nearest thousandth it is already rounded to the nearest thousand the no. of digits after the decimal place is three.

learn more about rounding off numbers here :

https://brainly.com/question/1285194

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Answer:

D The sample proportion would more closely model the population proportion.

Step-by-step explanation:

The more people surveyed, the more accurate the information.

Ansanswer choice b

Step-by-step explanation:

Answer:

245÷9 =0 witt remainder 9

Answer:

3.5

Step-by-step explanation:

(42 - 14)/(12 - 4) = 28/8 = 7/2 = 3.5

Answer:

[tex]s=r\theta\\\theta=s/r\\\theta=19/4\\\theta=4.75[/tex]

Step-by-step explanation:

There is a formula that relates the arc length of a circle of radius, r, to the central angle, [tex]\theta[/tex] in radians.

[tex]s=r\theta[/tex]