Evaluate tan5π. 0 1 -1 undefined

[tex] \sf{\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Let's Solve ~

[tex]\qquad \sf  \dashrightarrow \: 4 {x}^{2} + 20x + 25[/tex]

[tex]\qquad \sf  \dashrightarrow \: 4 {x}^{2} + 10x + 10x + 25[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2x(2x + 5) + 5(2x + 5)[/tex]

[tex]\qquad \sf  \dashrightarrow \: (2x + 5) (2x + 5)[/tex]

[tex]\qquad \sf  \dashrightarrow \: (2x + 5) {}^{2} [/tex]

or

[tex] \sf{\qquad \sf  \dashrightarrow \: 4x² + 20x + 25 } [/tex]

[tex] \sf{\qquad \sf  \dashrightarrow \: (2x)² + (2 \sdot 2x \sdot 5) + (5)²} [/tex]

[ it's similar to expression - a² + 2ab + b² that is equal to (a + b)² ]

so, let's use this identity here to factorise :

[tex] \sf{\qquad \sf  \dashrightarrow \: (2x + 5)²} [/tex]

I hope it was helpful ~

The preimage was shifted to the image by a translation 2 units right and 2 units up, so the answer is [tex](x,y) \longrightarrow (x+2, y+2)[/tex]

Answer: all real numbers

Step-by-step explanation:

I assume you meant to write:

[tex]f(x)+g(x)=(x+5)+(x+4)=2x+9[/tex]

Since this is a linear function, the domain is all real numbers.

Answer:

I’m assuming you’re talking about what percentage was taken off, so in that case the answer would be approximately 20.6%

Step-by-step explanation:
67.5/85 X/100

cross multiply then divide by 100 to find for x and you get 79.4117

then, subtract this number from 100 and you will get 20.6%

Answer:

There is a total of 180 employees.

Step-by-step explanation:

men : women

  7    :       5

5 units = 75

   1 unit = 15

12 units = 180

Answer:

f(-3) = 7

f(0.1) = 7

Step-by-step explanation:

The function f(x)=7 gives an output of 7 for all inputs. In other words, no matter what we plug in for x, f(x) will equal 7.

When graphed, f(x)=7 produces a horizontal line at y=7. From there, you can also see that any value of x gives an output of 7.

The probability that at least two students share the same birthday is 83.22 %.

There are 365 days in year and there 36 students in the class.

Total sample space, n = 365³⁶

36 students will be selected as [tex]365P_{36}[/tex]

[tex]P(A) = \frac{365P_{36}}{365^{36}} = 0.1678[/tex]

P(A') = 1 - P(A)

P(A') = 1 - 0.1678

P(A') = 0.8322

P(A') = 83.22 %

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Answer:

huh

Step-by-step explanation:

Answer:

x=12

Step-by-step explanation:

16x-30-(14x-6)=2x-24=0. add 24 on both sides to get 2x=24. divide by 2 on both sides to get x=12

Answer:

10a^2b^3−8a^3b^3+12a^2b^5−8ab^4

Step-by-step explanation:

Answer:

Longer side is 75 feet, shorter side is 50 feet.

Step-by-step explanation:

Let l be the length of the longer side and w be the length of the shorter side.

2l + 2w = 250, which simplifies to

l + w = 125. Solving for w, we have

w = 125 - l.

lw = l(125-l) = 3750

[tex] {l}^{2} - 125l - 3750 = 0[/tex]

[tex]( l - 50)(l - 75) = 0[/tex]

l = 75, w = 50

Answer:

a = 1

b = 2

c = 1

Factored form: (y + 1)^2 or (y + 1)(y + 1)

Step-by-step explanation:

Answer:

fourty-three.(point) eight zero eight

Step-by-step explanation:

hope it helps...

 The binomial expansion of (2+3x)^5 - (2 - 3x)^5 is 480x + 2160x^3 + 486x^5

Concept: Binomial expansion is to expand and write the terms which are equal to the natural number exponent of the sum or difference of two terms.

For two terms x and y the binomial expansion to the power of n is (x + y)n = nC0 0 xn y0 + nC1 1 xn - 1 y1 + nC2 2 xn-2 y2 + nC3.

Binomial expansion of (2+3x)^5 =32+240x+720x^2+1080x^3+810x^4+243x^5

Binomial expansion of (2-3x)^5 = 32-240x+720x^2-1080x^3+810x^4-243x^5

Combining both the expansions,=32+240x+720x^2+1080x^3+810x^4+243x^5 - (32-240x+720x^2-1080x^3+810x^4-243x^5)

= 32+240x+720x^2+1080x^3+810x^4+243x^5 - 32+ 240x - 720x^2 +1080x^3 -810x^4 +243x^5

=480x + 2160x^3 + 486x^5

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Answer:

x=5 y=0

Step-by-step explanation:

cancel out the 4y's and then add the x's together. also add the 5s together. 2x = 10, x = 5, and plug it in, and 5 cancels out, leaving y by itself.

Answer:

[tex]\boxed{\bf \angle \: C = 62^{o} }[/tex]

Step-by-step explanation:

The sum of the opposite angle of cyclic quadrilateral is 180°.

First, lets find x...

Now, let's find the measure of angle C....

________________________

Answer:

70 (100-30)

Rambling (Unrelated):

Although if you take 30 apples from your own stockpile of 100 apples, you still have 100 apples

100 apples

Answer:

11/200

Step-by-step explanation:

Convert the percentage to a fraction by placing the expression over

100

Percentage means 'out of 100

5.5

100

Convert the decimal number to a fraction by shifting the decimal point in both the numerator and denominator. Since there is

1

number to the right of the decimal point, move the decimal point

1

place to the right.

55

1000

Cancel the common factor of

55

and

1000

11/200

Answer:

0.339

Step-by-step explanation:

Hope it helped!

Hii!

___________________________________________________________

Answer: 0.339

Explanation:

There are two rounding rules that will help us whenever we need to round a number! These are the rules.

---

Now that we know the rules, let's get down to solving our problem! ^^

The nearest thousandth is 3 decimal places.

_._ _ _ <==== Nearest thousandth

The third number after the decimal point is 9. After it is a digit that is less than 5. According to the rounding rules, we should round down.

[tex]\boldsymbol{0.3391=== > 0.339}[/tex]

--

Hope that this helped! Best wishes.

--

Answer:

Exact Form:

1789/2520

Decimal Form:

0.70992063

The length of the AC is x^2  + 4x  - 12.

That quadrilateral in which opposite sides are parallel is called a parallelogram.

Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

Given :

In Parallelogram ABCD, diagonals AC and BD intersect at point E.

such that

AE = x^2 - 12,

CE = 4x

We know that the diagonal of a parallelogram bisect each other.

x^2 - 12 = 4x

x^2  - 4x  - 12= 0

(x-6)(x-2) = 0

Hence, the value of x = 6, 2.

AC = AE + CE = x^2  + 4x  - 12.

The length of the AC is x^2  + 4x  - 12.

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Five factors that should be controlled are the dose of the medicine, the time the patients take this medicine, their diet, the stage of this disease and medicine composition.

This is done to avoid bias or imprecise results.

Factors related to the medicine itself and factors that can affect the results should be controlled. This includes:

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Answer:

45 minutes in an hour is also called three-quarters of a hour.

Step-by-step explanation:

If you are talking about money, then here is the answer.

Yearly (262 Work Days)=$94,320

Is $45 an hour good pay?

In short, yes! Forty-five dollars an hour is a great wage. It's above the median income in the United States and can provide you with a comfortable lifestyle. If you're looking to make more money, there are plenty of career choices that will have you on your way to making $45 an hour in no time.

Answer:

the interior angle of a triangle = 180- 89 ( forming linear pair)

= 91°

y = 91 + 23

Y = 114° ( sum of interior angle of a triangle ls equal to its outer angle)

Answer:

114

Step-by-step explanation:

Angle A + 89 = 180 (Sum ofAngles in a straight line)

Angle A = 180 - 89 = 91

Angle B + Angle A + 23 = 180 (Sum of angles in a triangle)

Angle B + 91 + 23 = 180

Angle B = 180 - 114 = 66

Angle B + y = 180 (Sum of angles in a straight line)

66 + y = 180

y = 180 - 66 = 114

Refer to the attached picture.

The amount of the extra snow would a child need to take a snowball will be 636.71 cubic cm.

Let d be the diameter of the sphere.

Then the volume of the sphere will be

V = 1/6 πd³ cubic units

Then the amount of the extra snow would a child need to take a snowball with a diameter of 8 cm and increase its size to a snowball with a diameter of 12 cm will be

Amount of snow = 1/6 π x 12³ - 1/6 π x 8³

Amount of snow = 288 π - 85.33π

Amount of snow = 636.71 cubic cm

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[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{3x + 99x = 1,224}\\\\\large\textbf{COMBINE the LIKE TERMS}\\\\\mathsf{(3x + 99x) = 1,224}\\\mathsf{3x + 99x = 1,224}\\\mathsf{\bold{102x} = 1,224}\\\\\large\textbf{DIVIDE 102 to BOTH SIDES}\\\\\mathsf{\dfrac{102x}{102} = \dfrac{1,224}{102}}\\\\\large\textbf{SIMPLIFY IT!}\\\\\mathsf{x = \dfrac{1,224}{102}}\\\\\mathsf{x = 12}\\\\\\\huge\text{Therefore, your answer should be: \boxed{\mathsf{x = 12}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

A number line is just that – a straight, horizontal line with numbers placed at even increments. The distance from the origin to a is |a| for any real number a. Thus, the correct option is C.

A number line is just that – a straight, horizontal line with numbers placed at even increments along the length. It’s not a ruler, so the space between each number doesn’t matter, but the numbers included on the line determine how it’s meant to be used.

As we know that in the given function |a|, when any value is given to a, then the value that the function is written is equal to a.

Let a=-5, then the value that the function will return is 5. Which is the distance borigin and a, on the number line.

Hence, The distance from the origin to a is |a| for any real number a. Thus, the correct option is C.

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The recurrence relation is dn = 0.4d(n-1) where d1 = 75

The given parameters are:

Since, the medication is eliminated from the blood; then it means that the function is an exponential decay function.

This is represented as:

d(n) = d(n - 1) * (1 - r)

Substitute r = 60%

d(n) = d(n - 1) * (1 - 60%)

Evaluate the difference

d(n) = d(n - 1) * 0.4

Evaluate the product

dn = 0.4d(n-1)

Hence, the recurrence relation is dn = 0.4d(n-1) where d1 = 75

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[tex]x^2-10x=30x\\x^2-40x=0\\x(x-40)=0\\x=0 \vee x=40[/tex]

For the given equation, either 3x + 7 = 0 or x + 7 = 0

Now,

or

So, possible values of x is : -7 and -7/3

[tex](3x + 7)(x + 7) = 0 \\ \\ \\3x + 7 = 0 \\ \\ 3x = - 7 \\ \\ x = \frac{ - 7}{3} . \\ \\ \\ x + 7 = 0 \\ \\ x = - 7.[/tex]