Translate the sentence into an inequality.

Six times the sum of a number and 20 is greater than 16.

Use the variable c for the unknown number.

Answer:

x= 11°

Step-by-step explanation:

∠BAC= ∠ACD (alt. ∠s, AB//CD)

∠BAC= 33°

∠BAC +∠ABC= ∠BCE (ext. ∠s of triangle ABC)

33° +2x= 5x

5x -2x= 33°

3x= 33°

x= 33° ÷3

x= 11°

_____

Alternatively,

∠ACB= 180° -5x (adj. ∠s on a str. line)

∠BCD +∠ABC= 180° (int. ∠s, AB//CD)

∠ACB +∠ACD +2x= 180°

180° -5x +33° +2x= 180°

Minus 180° on both sides:

-5x +2x +33°= 0

5x -2x= 33°

3x= 33°

x= 11°

tan (u) = a/b = cot (90° – u)

Let u = 20°

Take it from here.

The equivalent value of the expression is tan20 is a cot(70).

Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate to a triangle's side length and angle.

The area of mathematics is concerned with how triangles' sides and angles relate to one another as well as with the pertinent uses of any angle.

Given that the trigonometric expression is tan30. The equivalent expression will be written as,

tan (u) = a/b = cot (90° – u)

tan (20) = cot ( 90 - 20 )

tan 20 = cot 70

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Answer:

x=20

Step-by-step explanation:

Explanation:

We multiply the y coordinate by -1/3 because of the notation (-1/3)*f(x). Recall that y = f(x). The x coordinate stays the same.

Answer:

It does not, unless [tex]x=0[/tex] or [tex]x=1[/tex]

If you remember how to raise a power to a given power you remember to multiply the exponents (or, if you don't, apply the definition of [tex](x^3)^3=(x^3)(x^3)(x^3)=x^9[/tex]

At this point you're being asked if [tex]x^9=x^6[/tex] and the only two numbers for which this is true are 0 and 1 (side note: if the left hand side was an even function also [tex]-1[/tex] was a possible candidate, but alas 9 is odd).

.........................

Answer:

3 3/20 is equal to 3.15 in decimal form.

Step-by-step explanation:

Answer:

A. -3.15

Step-by-step explanation:

this isn't much but i really like math xD hope this helps! :) (please pick as brainlyist)

Answer: The leading coefficient is -1.

Step-by-step explanation: Coefficients are the numbers than procede each term with a variable (in this instance, x) in the equation.

[tex]-x^6+4x^2+2x-6\\[/tex]

There are four terms in this equation, which has been reordered in the correct form, which is from the highest term to the lowest term (based on exponent values).

Thus, there are three coefficients in this equation, which, in order, are as follows:

[tex]-1, 4, 2[/tex]

Answer:

13/15

Step-by-step explanation:

[tex]\text{Given that,}\\\\\\f(x) = \ln(x^4 +e^{2x})\\\\\\f'(x) = \dfrac{1}{x^4 + e^{2x}} \left(4x^3+2e^{2x}\right) = \dfrac{2(2x^3+e^{2x})}{x^4 + e^{2x}}~~~~;[\text{Chain rule}]\\\\\\\text{Note:}\\\\\dfrac{d}{dx} \ln x = \dfrac 1x\\\\\dfrac{d}{dx} x^n = nx^{n-1}\\\\\dfrac{d}{dx} e^{mx} = m e^{mx}[/tex]

After solving the given equation, the value obtained is equal to [tex]\frac{2(2x^3+e^2^x)}{x^4+e^2^x}[/tex].

If a mathematical operation includes at least two words that are connected by an operator and either comprise numbers, variables, or both, it is referred to as an expression.

The operations with reflection coefficients include adding, subtracting, multiplying, and dividing. To include terms in an expression, a mathematical operation like reduction, addition, multiplication, or division is used.

As per the given data in the question,

f(x) = ln (x⁴ + e²ˣ)

[tex]f'(x)=\frac{1}{x^4+e^2^x}(4x^3+2e^2^x)[/tex]

Now, use the chain rule,

[tex]\frac{2(2x^3+e^2^x)}{x^4+e^2^x}[/tex]

Also, note some points,

d/dx ln (x) = 1/x

[tex]\frac{d}{dx}x^n=nx^n^-^1[/tex]

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Answer:

53

Step-by-step explanation:

pls give me brainlest

Answer:

-2/15

this should work

Step-by-step explanation:

Answer:

13/15

Step-by-step explanation:

1 1/5 - 1/3 =

= 1 + 1/5 - 1/3

= 5/5 + 1/5 - 1/3

= 6/5 - 1/3

= 18/15 - 5/15

= 13/15

[tex]\left(3+\sqrt{-16} \right) \left(5-\sqrt{-25} \right)\\\\=\left(3+\sqrt{-1} \cdot \sqrt{16} \right) \left(5- \sqrt{-1} \cdot \sqrt{25} \right)\\\\=(3+4i)(5-5i)~~~~~~~~~~~~~~;\left[i=\sqrt{-1} \right]\\\\=15-15i + 20i - 20i^2\\\\=15+5i -20(-1)~~~~~~~~~~~~;[i^2 =-1]\\\\=15+5i +20\\\\=35+5i[/tex]

As a result of the Industrial Revolution, things changed for women in that C. Women gained increased economic independence by working in  factories

The Industrial Revolution:

When women started earning salaries, they did not have to rely on men as much as they could not provide for themselves which led to increased economic independence.

In conclusion, the industrial revolution allowed for the economic independence of women to increase.

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Answer:

126 1/3 yards

Step-by-step explanation:

1 foot = 1/3 yard

379 feet = 379/3 yard= 126 1/3 yards

Answer:

not even bill nye could solve this

Answer:

77) YES , 78) YES , 79) NO , 80) YES

Step-by-step explanation:

77) 12/4=3 and 18/6=3 so YES

78) 30/6=5 and 40/8=5 so YES

79) 36/25=1.44 and 48/40=1.2 so NO

80) 15/5=3 and 13.8/4.6=3 so YES

Answer:

Add 3 to both sides.

Step-by-step explanation:

Add 3 to both sides.

This is how you figure it out. Imagine you have a value you want to use for x on the left side, such as 5.

In other words, evaluate 3/4 x - 3 for x = 5

The left side turns into 3/4 × 5 - 3.

What order of operations would you use now on the left side.

1) Multiply 3/4 by 5

2) Subtract -3

To solve an equation, you do the opposite operations in the opposite order.

Since to evaluate the left side with a number for x, you end by subtracting 3, to solve the equation you start by adding 3. Then you divide by 3/4.

Answer: add 3 to both sides

Answer:

y = - [tex]\frac{8}{3}[/tex] x + 10

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mc + c ( m is the slope and c the y- intercept )

Here m = - [tex]\frac{8}{3}[/tex] and crosses the y- axis at (0, 10 ) ⇒ c = 10

y = - [tex]\frac{8}{3}[/tex] x + 10 ← equation of line

The true statement will be "the equation 25z + 100 = 225 can be used to find z, and the salesperson rents the car for exactly 5 days.

If a flat fee of $100 for insurance is added and the salesperson is charged a total of $225 for "z" days, hence the required equation that represents this statement is expressed as:

The true statement will be "the equation 25z + 100 = 225 can be used to find z, and the salesperson rents the car for exactly 5 days.

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Answer:

1

Step-by-step explanation:

y2 - y1 / x2 - x1

6 - 4 / 0 - -2

2 / 2 = 1

[tex]\stackrel{\textit{reciprocal ident.}}{csc(\theta)=\cfrac{1}{sin(\theta)}} ~\hfill \stackrel{\textit{symmetry ident.}}{sin(-\theta )=-sin(\theta)}~\hfill \begin{array}{llll} \stackrel{\textit{pythagorean ident.}}{sin^2(\theta)+cos^2(\theta)=1}\\ sin^2(\theta)=1-cos^2(\theta)\\ cos^2(\theta)=1-sin^2(\theta) \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\cfrac{csc^2(-x)-1}{1-cos^2(-x)}\implies \cfrac{~~\frac{1}{sin^2(-x)}-1~~}{sin^2(-x)}\implies \cfrac{~~ \frac{1-sin^2(-x)}{sin^2(-x)}~~}{\frac{sin^2(-x)}{1}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{keeping in mind that}~\hfill }{sin^2(-x)\implies [sin(-x)]^2\implies [-sin(x)]^2\implies [sin(x)]^2\implies sin^2(x)} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cfrac{~~ \frac{1-sin^2(x)}{sin^2(x)}~~}{\frac{sin^2(x)}{1}}\implies \cfrac{1-sin^2(x)}{sin^2(x)}\cdot \cfrac{1}{sin^2(x)}\implies \cfrac{cos^2(x)}{sin^2(x)}\cdot \cfrac{1}{sin^2(x)} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill cot^2(x)csc^2(x)~\hfill[/tex]

If someone puts no job or social services on their rental application and yet they pay rent on time each month … they’re probably doing something illegal. Here in SoCal, if all they offer are 1099s as a “music producer” or other vague free lance type job, they might be dealers and you as the landlord are held to know that.

Answer:

C. net asset value x number of shares

Step-by-step explanation:

edge 2022

Answer:

1/4

Step-by-step explanation:

4 skittles and one being green

Answer:

4/5

Step-by-step explanation:

According to the Wrigley's Consumer Care Department, the fruit candies are produced in equal proportions— 20% of each of the five colors (green, red, orange, yellow, and purple). However, although these candies are made in equal proportions, the individual Skittles bags are filled by weight and by machines but on average I'd say 4/5 chance its a green.

Answer:

2 feet: $18

4 feet: $36

5 feet: $45

$81 = 4.5 feet

10 feet = $90

Step-by-step explanation:

2 feet: $18

4 feet: $36

18 + 18

5 feet: $45

18 + 18 + 9

$81 = 4.5 feet

81/18

10 feet = $90

18 + 18 + 18 + 18 + 18

Answer:

y=3/2x-8

Step-by-step explanation:

The slope of a line parallel to 3x-2y=-14 will be equivalent to the slope of this equation.

Rewrite the given equation in Slope/Intercept Form y=mx+b to get the slope m.

3x-2y=-14

2y=3x+14

divide both sides by 2 to solve for y.

y=(3x+14)/2

y=3/2x+7

slope m =3/2

Now that we have found the slope of our equation, we can put it into point-slope form : y-y1=m(x-x1) 2=x1 -5=y1

y--5=3/2(x-2)

y+5= 3/2x-3

subtract 5 from both sides to solve the equation for y

y=3/2x-8