If sec x° = five thirds, what is the value of b? triangle lmn in which angle m measures 90 degrees, angle l measures x degrees, ln measures 20 units, and lm measures 3b units b = 4 b = 5 b = 6 b = 7

Answer: y(-3y^7+18y^4+10)

Step-by-step explanation:

A) The solution to m² + (1/m²) is gotten as; 14

B) The solution to m³ + ¹/₃ is gotten as; 52.312

We are given the algebraic equation;

(m² + 1)/m = 4

Multiply through by m to get;

m² + 1 = 4m

m² - 4m + 1 = 0

From online quadratic equation calculator, we have;

m = 3.732 or 0.268

A) Thus;

m² + (1/m²) = 3.732² + (1/3.732²)

⇒ 14

B) m³ + ¹/₃ gives;

3.732³ + (1/3) = 52.312

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The value of a is -5 if the provided polynomial is divided by (3x + 2) option first -5 is correct.

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have a polynomial:

3x² + 5x - 3

Which is divided by (3x + 2)

= (3x² + 5x - 3) ÷ (3x + 2)

[tex]\rm = \dfrac{\left(3x^2+5x-3\right)}{\left(3x+2\right)}[/tex]

[tex]\rm =x+\dfrac{3x-3}{3x+2}[/tex]

[tex]\rm =x+1+\dfrac{-5}{3x+2}[/tex]

[tex]\rm =x+1-\dfrac{5}{3x+2}[/tex]

By comparing with the given remainder.

a = -5

Thus, the value of a is -5 if the provided polynomial is divided by (3x + 2) option first -5 is correct.

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Answer:

B

Step-by-step explanation:

[tex]\frac{4x}{9}[/tex] - [tex]\frac{2x}{9}[/tex]

since the denominators are common , then subtract the numerators, leaving the common denominator.

= [tex]\frac{4x-2x}{9}[/tex]

= [tex]\frac{2x}{9}[/tex]

Answer:

A = 55 degrees

B = 35 degrees

C = 90 degrees

side BA = 4.8 units

side AC = 2.7 units

side BC = 3.9 units

Step-by-step explanation:

Hello!

The things we know:

A = 55 degrees

C = 90 degrees

side BA = 4.8 units

AC = adjacent side

BC = opposite side

AB = hypothenuse

B = 180 - 55 - 90 degrees

B = 35 degrees

Let's find side AC

we can use the cos of theta.

cos(55) = AC/4.8

multiply 4.8 on both sides.

4.8cos(55) = AC

AC = 2.7 units

And now we just have to find BC

to calculate BC we can either use tangent or sin.

I will just use sin

sin(55) = BC/4.8

multiply 4.8 on both sides.

4.8sin(55) = BC

BC = 3.9

And now we know everything about the triangle

Hope I Helped!

Answer:Jared has earned 23% of the $52 he needs to buy a new jacket. Find 23% of $52.Which expression can you use to find 23% of 52? ✔ 0.23 × 5223% of $52 is $✔ 11.96.An easy way to check your answer is to use the friendly ✔ 25%and divide 52 by ✔ 4to get ✔ 13

Step-by-step explanation:

The solution to the value of x in the given equation is x = 0.00212658 or x = -0.00213958

The process of solving the unknown value of an algebraic equation involves equating the values of the unknown to the constant value.

Given that:

[tex]\mathbf{\dfrac{x^2}{0.35-x}= 1.3 \times 10^{-5} }[/tex]

[tex]\mathbf{x^2 = 1.3 \times 10^{-5} (0.35-x) }[/tex]

x² = 4.725 × 10⁻⁶ - 1.3 × 10⁻⁵x

= [tex]x^2 + 1.3\times10^{-5}x - 4.725 \times 10^{-6}[/tex]

= x²+0.000013x-0.000004725

x = 0.00212658 OR x = -0.00213958

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The given points of the expression is not a function because there are two different y-values for a single x-value.

Given The points are : (-2,-5), (-1,3), (1,-2) , (3,0) ,(4,-2) (4,4)

Function refers to a relation or expression involving one or more variables. In a function each value of x corresponds to each value of y. A relation which is having two or more values of y for x values is not a function.

We have been given points  (-2,-5), (-1,3), (1,-2) , (3,0) ,(4,-2) (4,4).

These are not points of a function because of a simple reason that it has two values of y for each one value of x.

Value of relation at x=-2 is -5.

Value of relation at x=-1 is 3.

Value of relation at x=1 is -2.

Value of relation at x=3 is 0.

Value of relation at x=4 is -2.

Value of relation at x=4  also equal to  4.

It has two values at x=4 one is -2 and other one is 4.

Hence the relation is not a function because there are two different y-values for a single x-value.

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The given points of the expression is not a function because there are two different y-values for a single x-value.

Given The points are : (-2,-5), (-1,3), (1,-2) , (3,0) ,(4,-2) (4,4)

Function refers to a relation or expression involving one or more variables. In a function each value of x corresponds to each value of y. A relation which is having two or more values of y for x values is not a function.

We have been given points  (-2,-5), (-1,3), (1,-2) , (3,0) ,(4,-2) (4,4).

These are not points of a function because of a simple reason that it has two values of y for each one value of x.

Value of relation at x=-2 is -5.

Value of relation at x=-1 is 3.

Value of relation at x=1 is -2.

Value of relation at x=3 is 0.

Value of relation at x=4 is -2.

Value of relation at x=4  also equal to  4.

It has two values at x=4 one is -2 and other one is 4.

Hence the relation is not a function because there are two different y-values for a single x-value.

here u go hope this helps

Answer:

y = -x + 1

(Image of what graph looks like is attached)

Step-by-step explanation:

x = 1 - y can be rewritten into y = mx + b format.

x = 1 - y (subtract 1 from both sides)

x - 1 = -y (multiply by -1 to both sides)

y = -x + 1

Brainliest, please :)

Hello,

Answer:

for k = 4/9

Step-by-step explanation:

a = 9 ; b = 4 ; c = k

we search Δ = 0 (because 1 real root)

Δ = b² - 4ac = 4² - 4 × 9 × k = 16 - 36k

Δ = 0 ⇔  16 - 36k = 0 ⇔ 36k = 16 ⇔ k = 16/36 = (4 × 4)/(4 × 9) = 4/9

⇒ k = 4/9

Answer:

[tex]\{\frac{4}{9} \}[/tex]

Step-by-step explanation:

First off, we are given a parabola by definition:

[tex]f(x) = 9x^2 + 4x + k \\ a = 9, b = 4, c = k;[/tex]

Since [tex]a > 0[/tex], our parabola has an upward opening.

Should we think about it graphically, it will be no wonder that we should pay our attention to the points of the parabola intersecting the abscissa axis. In other words, we need our vertex to intersect the x axis only once per se.
The vertex:

[tex]V_{x} = \frac{-b}{2a} = \frac{-4}{2 * 9} = - \frac{2}{9} \\ V_{y} = 9V_{x}^2 + 4V_{x} + k = 9(- \frac{2}{9})^2 + 4(- \frac{2}{9}) + k = 9 * \frac{4}{9^2} - \frac{8}{9} + k = \frac{4}{9} - \frac{8}{9} + k = - \frac{4}{9} + k[/tex]

As a result, our [tex]V_{y}[/tex] is parametric. [tex]k = \frac{4}{9}[/tex] suits us because [tex]V_{y} = - \frac{4}{9} + \frac{4}{9} = 0[/tex]. If [tex]k > \frac{4}{9}[/tex], we do not have any roots at all. We have two roots if [tex]k < \frac{4}{9}[/tex].

The integer represent the balance in your account is Z = + Y. The representation of integer is positive because withdrawal is always less then or equal to the amount present in the bank account.

Total rupees withdraw from saving account is $149

Let total amount in account before withdrawing is X= $500

Amount left after withdraw the money is calculated by a

AMOUNT LEFT = TOTAL AMOUNT - WITHDRAW AMOUNT

So, put the values then

Y= X($500) - $149

Y= $500 - $149

Y= $351

If we represent the balance of saving account in the integer form then it become the Z = + Y. The representation of integer is positive because withdrawal is always less then or equal to the amount present in the bank account.

So, The integer represent the balance in your account is Z = + Y. The representation of integer is positive because withdrawal is always less then or equal to the amount present in the bank account.

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Answer:

1±i sqrt(7/2)

Step-by-step explanation:

For this equation you would need to use quadratic formula: x=(-b+-square root b^2-4ac)/2a

Answer:the answer is option E (see pic)

Step-by-step explanation:

One root would be: x =(4-√88)/-4=1+1/2√ 22 = 1.345

Answer:

[tex]m\angle{ABC}=144^{\circ}[/tex]

Step-by-step explanation:

By using Angle Addition Postulate, it holds:

[tex]m\angle{ABD}+m\angle{DBC}=m\angle{ABC}[/tex]

Substitute [tex]m\angle{ABD}=76^{\circ}[/tex] and [tex]m\angle{DBC}=68^{\circ}[/tex] into the equation:

[tex]76^{\circ}+68^{\circ}=m\angle{ABC}[/tex]

Add the measures:

[tex]m\angle{ABC}=144^{\circ}[/tex]

Answer:

Step-by-step explanation:

The formula for the volume of a sphere of radius r is V = (4/3)(pi)r^3.

Here, with r = 3 in, the volume is

V = (4/3)(3.14)(3 in)^2, or  V  =  36(pi)(27 in)^3 = 36pi in^3

Answer:

Tan p is 20/21

Tan q is 21/20

Step-by-step explanation:

Tan is short for tangeant.

tangeant means opposite/adjacent

the opposite of vertices p is 20.

the adjacent of vertices p is 21.

so tan p= 20/21

The opposite of vertices q is 21

the adjacent of vertices q is 20

so tan q is 21/20

Answer: After working for 33 [tex]\frac{1}{3}[/tex] hours a week

Step-by-step explanation:

     Let us write equations to represent these two places. Let x be hours worked and y be money earned.

   Tim Hortons:

$200 + $5x = y

    McDonalds:

$300 + $2x = y

    Now, to find the conditions of which Tim Hortons is the better employer (on the basis of money earned) we must find the interval that Tim Hortons pays more. This can be found by setting up another equation, or by graphing. I have shown both. See attached for the graph.

$200 + $5x > $300 + $2x

$5x > $100 + $2x

$3x > $100

x > [tex]\frac{100}{3}[/tex]

x > 33.3334

    Tim Hortons is the better employer after an employee has worked for 33 [tex]\frac{1}{3}[/tex] hours a week.

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Answer:

c = 75.36 cm

Step-by-step explanation:

The equation of the circumference is:

[tex]c=\pi d[/tex]  In which "d" represents the measurement of the diameter

in this case d= 24cm, π = 3.14

Calculate the circumference:

[tex]c=\pi d=(3.14)(24)=75.36cm[/tex]

Hope this helps

A circle has a diameter of 24cm. The circumference of the circle is c = 75.36 cm.

The circumference of the circle that has a radius of r is defined as the product of diameter to the pie value.

The circumference of the circle = 2πr

Given information;

A circle has a diameter of 24cm.

"d" represents the measurement of the diameter, so

d= 24cm, π = 3.14

Radius = d/ 2 = 12

Calculate the circumference:

The circumference of the circle = 2πr

= 2 ( 3.14 ) ( 12)

= 75.36

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Answer:

Complementary angles are:

∠ORS and ∠SRQ

Supplementary angles are:

∠ORP and ∠PRQ

The correct statement about the matrix is B. B^-1.

From the information, it can be seen that the matrix is 2 by 2. Based on the information about the matrix, 1/3AB = 1/3BA.

From this, it can be depicted that the inverse of B illustrates that:

A(1/3B) = (1/3B)

This illustrates that the correct is B.

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The general direction that Lin walked from the gym to his house is; B: Lin walked southwest, creating an obtuse triangle.

We are given;

Distance between the lecture hall and gym = 910 feet.

Distance between the gym and Lin apostrophe's house = 615 feet.

Distance between the lecture hall and Lin apostrophe's house = 651 feet.

Now, since this 3 distances form a triangle and the 3 distances are unequal, then we can call it an obtuse triangle since he walked west and then walked northwest.

Now, since he walked back to his house from the gym, we can say that he walked southwest if we picture the bearing of his first two directions.

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Answer:

17 square centimeters.

Step-by-step explanation:

Divide the rectangle into a 3x5 rectangle and a 2x1 rectangle.

(3x5)+(2x1)=17

17 square centimeters.

Answer:

  x = 5

Step-by-step explanation:

The equality of bases property says powers of the same base will be equal if and only if the powers are equal. This property is used to solve exponential equations.

  [tex]\dfrac{(2)^x}{2}=16\qquad\text{copy of the original equation}\\\\2\times\dfrac{(2)^x}{2}=2\times16\qquad\text{multiply by 2 to isolate the base}\\\\2^x=32\qquad\text{simplify}\\\\2^x=2^5\qquad\text{rewrite the constant as a power of 2}\\\\\boxed{x=5}\qquad\text{use the Equality of Bases Property}[/tex]

__

Additional comment

Equating the exponents is fully equivalent to taking the logarithm of both sides of the equation, to that base.

  [tex]\log_2(2^x)=\log_2(2^5)\ \Longrightarrow\ x=5[/tex]

Answer:479

Step-by-step explanation:470+9=479

We can write the system of equation that determines the number of commercials and the number of movies on which Mason's songs were played as →  30x + 80y = 470   and    x + y = 9. The variables used in the system of equations are -

x - Number of times his song played in a commercial

y - Number of times his song played in a movie.

Equation modelling is a method of writing a mathematical relation from a mathematical statement for mathematical analyses of the problem given.

Given is Mason who collects royalties on his songs whenever they are played in commercials or movies.

Assume that his song played in 'x' commercials and 'y' movies.

Cost per song when played in commercial = $30

Then for 'x' commercials, total cost will be = $30x

Cost per song when played in movie = $80

Then for 'y' movies, total cost will be = $80y

Total money earned through both = $470

We can write the system of equation that determines the number of commercials and the number of movies on which Mason's songs were played as -

30x + 80y = 470

The total number of commercials and movies combined -

x + y = 9

The variables used in the system of equations are -

x -   Number of times his song played in a commercial

y - Number of times his song played in a movie.

Therefore, We can write the system of equation that determines the number of commercials and the number of movies on which Mason's songs were played as →  30x + 80y = 470   and    x + y = 9. The variables used in the system of equations are -

x - Number of times his song played in a commercial

y - Number of times his song played in a movie.

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Answer:

B and D

Step-by-step explanation:

A

[tex]\frac{5}{6}[/tex] × 13 = [tex]\frac{5(13)}{6}[/tex] = [tex]\frac{65}{6}[/tex] = 10 [tex]\frac{5}{6}[/tex] < 13

B

4 × 13 = 52 > 13

C

[tex]\frac{3}{4}[/tex] × 13 = [tex]\frac{3(13)}{4}[/tex] = [tex]\frac{39}{4}[/tex] = 4 [tex]\frac{3}{4}[/tex] < 13

D

[tex]\frac{10}{10}[/tex] × 13 = 1 × 13 = 13

Band D are equal to or greater than 13

Answer: 1.2x

Step-by-step explanation:

Profit = Selling price - Cost

She bought the stock at a cost of x dollars

Her profit was 20% of that, which is 0.2x dollars

Selling price = Profit + Cost = x + 0.2x = 1.2x

The graph which represents the rational function is; On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 2, and the horizontal asymptote is at y = 3.

It follows from the task content that the rational function given is; f(x) = 3x-2/x-2.

Hence, since the numerator and denominator polynomials are of the same order, it follows that the horizontal asymptote is the quotient; 3/1 = 3.

Additionally, the vertical asymptote of the function is the value of x which renders the denominator equal to 0 and consequently, the function undefined.

Hence, x -2 = 0 and x= 2.

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Answer: THE PERSON ABOVE IS CORRECT!!

The answer is D.) On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 2, and the horizontal asymptote is at y = 3.

Let x = number of hours washing cars

Let y = number of hours landscaping

System of equations:

[tex]10x+8y=84\\\\x=2y[/tex]