Consider the similar triangles.
J
Use properties of similar triangles to answer the
questions
What is the measure of angle J?
M
.
Which side of AMNO corresponds to JK?
2.5 m
3 m
1.5m
90°
90°
K
O
480
What is the ratio of the larger triangle to the smaller
triangle?
4 m
2 m
N

The cheaper plan here would be plan A. The equation that is written in terms of the plans on movies is  0 < x < 5

For the plan A, we would have the function to be given as

A = 1x + 18

This is due to thge fact that this plan is said to cost  $18 per month plus $1 per movie watched.

For plan B the function would have to be:

B = 3x + 8

The equation that we would have here would be

1x + 18 <  3x + 8

= x - 3x < 8 - 18

= -2x < -10

x < 5

Hence we would have the equation as 0 < x < 5

Cheaper plan

1x6 + 18  = 24

3x 6+ 8 = 18 + 8 = 26

Plan A id cheaper

Read more on equations here:

https://brainly.com/question/19025219?referrer=searchResults

#SPJ1

Answer:

ABC

Step-by-step explanation:

1) 6x^4 - x^3 - 28x^3 + 47 x - 28

2) 2400

3) 8p^2q^2 - 22pqr + 15r^2

Answer:

El camión no puede llevar un contenedor lleno de cobre.

Step-by-step explanation:

El enunciado correcto es: Si tenemos un camión que puede transportar 10 toneladas, ¿puede llevar el camión un contenedor lleno de cobre? (Densidad del cobre: 8,94 gramos por centímetro cúbico) Dimensiones del contenedor: 1 metro, 1 metro y 2 metros.

Una tonelada equivale a 1000 kilogramos y un gramo por centímetro cúbico equivale a un kilogramo cúbico por metro cúbico. En primer lugar, calculamos la masa del contenedor a partir de la siguiente expresión:

\(m = \rho \cdot w\cdot h \cdot l\) (1)

Donde:

\(\rho\) - Densidad del cobre, medida en kilogramos por metro cúbico.

\(w\) - Anchura del contenedor, medido en metros.

\(h\) - Altura del contenedor, medida en metros.

\(l\) - Longitud del contenedor, medida en metros.

Si sabemos que \(\rho = 8940\,\frac{kg}{m^{3}}\), \(w = 2\,m\), \(h = 1\,m\) y \(l = 1\,m\), entonces la masa de contenedor es:

\(m = 17880\,kg\)

En otras palabras, el contenedor lleno de cobre tiene una masa de 17,880 toneladas, superior a la capacidad máxima que puede llevar el camión.

Por tanto, el camión no puede llevar un contenedor lleno de cobre.

5x+1=11+12x-3

5x+1=8+12x

5x+1-12x=8

-+1=8

-7x=7

x=\frac{7}{-7}

answer:

x=-1

The value of x would be equal to -1.

An equation is defined as an expression that shows the relationship between two or more numbers, variables, and a mathematical equation is a statement with two equal sides and an equal sign in between.

We are given the equation as;

x + 1 + 4x = 11 + 12x - 3

Now solve for x;

x + 1 + 4x = 11 + 12x - 3

5x+1=11+12x-3

5x+1=8+12x

5x+1-12x=8

-7x = 8 - 1

-7x=7

x=-1

The solution will be -1.

Learn more about equations here;

brainly.com/question/25180086

#SPJ6

The inverse Laplace transform are:

a. f(t) = (1/2)e^49/7 * uc(t-7) - (1/2)e^-49/7 * uc(t+7)

b. f(t) = (1/2)e^4 * uc(t-4) - (1/2)e^6 * uc(t-6)

a. F(s) = (7e^-7s)/(s^2-49)

We notice that the denominator of F(s) can be factored as (s-7)(s+7). We can use partial fraction decomposition to write F(s) in the form:

To find the values of A and B, we can multiply both sides by (s-7)(s+7) and then substitute s=7 and s=-7:

When we substitute s=7, we get:

Similarly, when we substitute s=-7, we get:

Now, we can write F(s) as:

To take the inverse Laplace transform, we can use the formula:

where uc(t) is the Heaviside step function.

Thus, we have:

b. F(s) = ((s-5)e^-s)/(s^2-10s+24)

The denominator of F(s) can be factored as (s-4)(s-6). We can use partial fraction decomposition to write F(s) in the form:

To find the values of A and B, we can multiply both sides by (s-4)(s-6) and then substitute s=4 and s=6:

When we substitute s=4, we get:

Similarly, when we substitute s=6, we get:

Now, we can write F(s) as:

To take the inverse Laplace transform, we can use the formula:

Thus, we have:

To learn more about Laplace transform, here

https://brainly.com/question/30759963

#SPJ4

Answer:

False

Step-by-step explanation:

Tell me if you need an explanation

Answer:

it's false.

4×4×4= 64.

The answer of the function found to be x = −4 and x = 2,  with M = 38.

We must consider the function,

f (x) = x³ + 6x² + 6

Over the interval  

-5 \(\leq\) x \(\leq\) 2

To obtain the extrema we start from the function's derivative.

f' (x) = 3x² + 12x

Equating it to 0,

f' (x) = 0 = 3x(x +4) = 0

We arrive at two solutions,

x1 = 0,     x2 = -4   both inside the interval.

Evaluating the function at the stationary points,

f (x1) = 6

f (x2) = (-4)³ + 6 . (-4)² + 6 = -64 + 96 + 6 = 38

These values must be compared to that of the function at the interval frontiers,

f (-5) = (-5)³ + 6 . (-5)² + 6 = -125 + 150 + 6 = 31

f (2) = 2³ + 6 . 2² + 6 = 38

Comparing the results we can conclude that the function attains its absolute minimum at,

x = 0,      m = 6

Meanwhile, the absolute maximum is attained at the points,

x = −4 and x = 2,  with M = 38.

Learm more about maxima and minima here; https://brainly.com/question/82347

#SPJ4

Answer:

2y = 10 is an equation

An equation is a statement that shows that the values of two mathematical expressions are equal (indicated by the sign =)

The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Read more about area here:https://brainly.com/question/27440983

#SPJ1

The maximum height is the highest level of height an object can reach. . The greatest height of the hangar is 32feet

The maximum height is the highest level of height an object can reach. Given the height in feet of the curved roof of an aircraft hangar can be modeled by y=-0.02x^2+1.6x

The velocity of the aircraft is zero at the maximum height. Therefore:

dy/dx = -0.04x + 1.6  = 0

Determine the value of x

0.04x = 1.6
x = 1.6/0.04
x = 40

Substitute x = 40 into the function to get the greatest height

y=-0.02x^2+1.6x

y=-0.02(40)^2+1.6(40)

y = -32 + 64

y = 32ft

Hence the greatest height of the hangar is 32feet

Learn more on maximum height here: https://brainly.com/question/12446886

Answer:

30°,45° and 55° cant exist

Step-by-step explanation:

30 + 45 + 55= 130

a triangle must have 180°

Answer:

A soft taco costs $1.25 and a burrito costs $2.50

Step-by-step explanation:

To start to find the cost of each, you need to set up a system of equations. Start by using x for the cost of a soft taco. Then use y for the cost of a burrito. First you can compile an equation for what you paid.

3x + 3y = 11.25

Now you can do the same with your friend's purchase.

4x + 2y = 10.00

Now to solve we can use a number of different methods. We'll use elimination this time. To use that, multiply the first equation by -2 and the second equation by 3. Then line them up like this:

-6x - 6y = -22.50

12x + 6y = 30.00

Now we add them straight through to cancel the y's and solve for x.

6x = 7.50

x = 1.25

Now we know the cost of a soft taco is $1.25 and we can find the burrito cost by using the taco cost in either equation.

3x + 3y = 11.25

3(1.25) + 3y = 11.25

3.75 + 3y = 11.25

3y = 7.50

y = 2.50

So we know that a burrito costs $2.50

The interest rate your friend is charging you for the $20,000 loan is 20% per year.

The simple interest is expressed as;

A = P( 1 + rt )

Where A is accrued amount, P is principal, r is the interest rate and t is time.

Given that;

The Principal P = $20,000

Accrued amount A = $40,000

Elapsed time t = 5 years

Interest rate r =?

Plug these values into the above formula and solve for the interest rate r:

\(A = P( 1 + rt )\\\\r = \frac{1}{t}( \frac{A}{P} -1 ) \\\\r = \frac{1}{5}( \frac{40000}{20000} -1 ) \\\\r = \frac{1}{5}( 2 -1 ) \\\\r = \frac{1}{5}\\\\r = 0.2 \\\\\)

Converting r decimal to R a percentage

Rate R = 0.2 × 100%

Rate r = 20% per year

Therefore, the interest rate is 20% per year.

Learn more about simple interest here: brainly.com/question/25845758

#SPJ1

Answer:

4 + 9i

Step-by-step explanation:

A complex number consists of a real part and an imaginary part, that is

z = x + yi ( x is the real part and yi the imaginary part )

A complex number does not exist in the set of real numbers.

Answer:

4 + 9i

Step-by-step explanation:

Answer:

The price per ticket

Step-by-step explanation:

It can't be the cost of the concession stand because it would've been negative since it's costing them to get the stand.

Can't be the profit made because its the y.

Can't be the number to tickets sold since that's the 3x.

This might not make sense

Zack should use a line with one arrowhead to map an abandoned line of reasoning.

A line with one arrowhead is commonly used in diagrams to represent the direction of a process or flow of information. In the case of mapping an abandoned line of reasoning, the line can be used to show the original train of thought that was pursued but later abandoned.

The arrowhead can indicate the point at which the reasoning was abandoned or diverted. Therefore, using a line with one arrowhead would be the most appropriate shape for Zack to use. The other shapes listed (orange oval, green rectangle, red) do not provide a clear representation of a line of reasoning and would not be suitable for this purpose.

To know more about abandoned line visit:

https://brainly.com/question/4040679

#SPJ11

Answer:

{x | x < 2 and  x < -4 }

Step-by-step explanation:

Given the inequality 5(x - 2)(x + 4) > 0?

This also means x - 2 < 0 and x + 4<0

For x - 2 < 0

Add 2 to both sides

x - 2 + 2 < 0 + 2

x < 2

Similarlry for x + 4 <0

Subtract 4 from both sides

x+4-4 < 0 -4

x < 0 -4

x < -4

x < 2 and  x < -4

Hence the required solution is {x | x < 2 and  x < -4 }

Answer: 26 minutes

Step-by-step explanation:

Assume that the total time spent in the morning which includes getting dressed, eating breakfast, making her bed, and driving to work is x.

Time getting dressed = ¹/₃x

Eating breakfast = 10 mins

Making bed = 5 mins

¹/₃x + 10 + 5 = 35 ½

¹/₃x + 15 = 35 ½

¹/₃x = 35 ½ - 15

¹/₃x = 20 ½

x = 20 ½ / ¹/₃

= 61.5 minutes

Total morning routine is is 61.5 mins

Time taken to drive to work is;

= 61.5 - 35 ½

= 26 minutes

The function (f - g)(x) is given as follows:

C. (f - g)(x) = |7x + 1| - 6.

The functions for this problem are defined as follows:

To obtain the subtraction of f(x) by g(x), we merely subtract the definitions, as follows:

(f - g)(x) = f(x) - g(x).

Hence:

(f - g)(x) = |7x + 1| - 8 - (-2)

(f - g)(x) = |7x + 1| - 8 + 2.

The like terms in the expression are given as follows:

-8 + 2 = -6.

Hence the subtraction function for this problem is defined as follows:

(f - g)(x) = |7x + 1| - 6.

Meaning that option C is the correct option.

More can be learned about functions at https://brainly.com/question/24808124

#SPJ1

What question are you talking about?

A figure with a rotation symmetry will look the same, when rotated. The figures with \(180^o\) rotation symmetry are:

B: rectangle

C: square  

E: regular hexagon

For a shape to have a \(180^o\) rotation symmetry, the following must be true.

Options (a) and (d) do not meet any of the above conditions.

However, the stated conditions are true for options (b), (c) and (e); because they have parallel & equal opposite sides; and they have an even number of sides.

Hence, the rectangle, the square and the regular hexagon have a \(180^o\) rotation symmetry

See attachment for an illustration of rotation symmetry.

Read more about rotation symmetry at:

https://brainly.com/question/18517924

The equation of the line passing parallel to y = 4x+1 through the point (-2,-1) is y = 4x + 7.

The equation of a line passing through one point (P) and parallel to another line (L) can be written as:

(y - y1) = (m * (x - x1)),

where (x1, y1) is the point P, and m is the slope of the line L.

To find a line parallel to y =4x-1, because parallel lines have the same slope, the slopes will need to match.  

The slope of the parallel line is 4 because we know that y= mx + b, which means the old line's slope is 4.

The equation to find a line passing through one point (-2,-1) are:

y-y1 = m(x-x1)

y+1 = 4(x+2)

y+1 = 4x+8

y = 4x + 8 - 1

y = 4x + 7

To learn more about parallel line refer to:

https://brainly.com/question/13763238

#SPJ1

The slopes will need to match because parallel lines always have the same slope if we want to locate a line that is parallel to y = 4x-1.

The slopes will need to match because parallel lines always have the same slope if we want to locate a line that is parallel to y = 4x-1.

The slope of the parallel line is 4 because we know that y= mx+b, which means the old line's slope is 4.

The point slope form of a line can be used if we are aware of both the line's slope and a particular point.

y-y1 = m(x-x1) (x-x1)

y-5 = 4(x—3) (x—3)

y-5=4

(x+3)

Disperse the 4

y-5 = 4x+12

5 more on either side

y-5+5 = 4x+12+5

y = 4x+17.

To Learn more About parallel lines  Refer To:

https://brainly.com/question/26961508

#SPJ1

Answer:

x = 0.8

Step-by-step explanation:

4x + 8 = 7.2 + 5x ( subtract 4x from both sides )

8 = 7.2 + x ( subtract 7.2 from both sides )

0.8 = x

Answer:

x < 1 or x < 5

Step-by-step explanation:

-3x - 6 < 3

-3x < -3

x < 1

OR

-3x - 6 < -21

-3x < -15

x < 5

Answer:

x > 5

Inequality notation: (5, infinite symbol)

Both lines to the right, open circle for > and close circle for <=

Step-by-step explanation:

-3x - 6 <= 3

-3x <= 3 + 6

x >= 9/-3 (>= because 3 is negative)

x >= -3

-3x - 6 < -21

-3x < -21+6

x > 15/-3

x > 5

(Both lines to the right)

Answer:

46

Step-by-step explanation:

Segment WX = 23 by the 30 60 90 triangle theorem which states that the longer leg is sqrt3 times the length of the shorter leg.

Segment XY = 26 by the 30 60 90 triangle theorem that states the hypotenuse is twice the length of the shorter leg

Answer:

75 degrees=3x

you have to divide 3 both sides to get x on its own,

25 degrees= x

Answer:

A = $1,837.56

Step-by-step explanation:

A = P(1 + r/n)^nt

Where,

Future value, A = ?

Principal, p = $1,500

Interest rate, r = 7%

Time, t = 3 years

Number of periods, n = 1 (annually)

convert r as a percent to r as a decimal

r = 7/100

r = 0.07 rate per year

A = P(1 + r/n)^nt

A = 1,500(1 + 0.07/1)^1*3

A = 1,500(1 + 0.07)^3

= 1,500(1.07)^3

= 1500(1.225043)

A = $1,837.5645

Approximately,

A = $1,837.56

Answer:

Step-by-step explanation:

So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.