If u get 2 points every 5 minutes, how long will it take to get 3,600 points?

Answers

Answer 1

Answer:

9,000 minutes (150 hours)


Step-by-step explanation:

You have 3,600 points total; you need to divide it by 2 points.
3,600 ÷ 2 = 1,800


So, now you need to multiply the 1,800 points by 5 minutes.

1,800 × 5 = 9,000


Another way:

You can figure out how long it takes to get 1 point. If 2 points takes 5 minutes, divide 5 by 2.

5 ÷ 2 = 2.5


Now you need to figure out how long it would take to get 3,600 points. If each point takes 2.5 minutes, just multiply.

3,600 × 2.5 = 9,000


It would take 9,000 minutes (which is equivalent to 150 hours) to get to 3,600 points.


Related Questions

can someone please help meee

Answers

Answer:

Step-by-step explanation:

Ok so you are given the values of the slope-intercept form with m being the slope and b being the y-intercept. So since b is equal to -1 you want to plot a point at (0, -1) since that is the y-intercept (when x = 0). The next thing you want to do is look at the slope, which is essentially saying each time x increases by 5 the y-value decreases by 4 or in other words rise/run which is negative which is why you're going down. So from the point (0, -1) go forward 5 units and go down 4 units which should lead you to (5, -5) and the third point you can plot is by going backwards instead of forwards. So instead of every time x increases by 5 y decreases by 4 you're going to do the inverse. Every time x decreases by 5, y is going to increase by 4. So by doing this from the y-intercept (0, -1) you should go backwards 5 units and up 4 units which should lead you to (-5, 3). And then now just draw a line that goes through all those three points. Hope that helps :)

i need helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

sorry. thats a hard one. math isn't. my area best of luck

find the value of x

Answers

Answer:

x=5

\

Step-by-step explanation:

Answer:

x = 0

Step-by-step explanation:

Line segment UV and line segment VW together form line segment UW.

UV + VW = UW

(5 + x) + (6) = (2x + 11)

5 + x + 6 = 2x + 11

x + 11 = 2x + 11

x + 11 - 11 = 2x + 11 - 11

x = 2x

x - x = 2x - x

0 = x

You can also verify the result by substituting x with our result 0.

5 + x + 6 = 2x + 11

5 + (0) + 6 = 2(0) + 11

11 + 0 = 0 + 11

11 = 11

Left side of the equation is the same as the right side of the equation, therefore the result x = 0 is correct.

The first five terms of a quadratic sequence is 1,8,21,40,65 .
What is the nth term of this sequence?


Thanks
And will give a brainliest!!

Answers

Answer: Nth term = 5

Explanation:

An = a + ( n - 1 ) d

a = first term and

d = the difference

An = 1 + ( n - 1 ) 6

= 1n - 1 + 6

CLT

N = -1+6

N = +5 /5

Mark brainliest

Answer:

Formula To Find: [tex]a_{n} = 3n^2 - 2n[/tex]

Step-by-step explanation:

Follow the steps to find the
area of the shaded region.
Use trigonometry to find
the height of the triangle.
Hint: Use SOHCAHTOA
h = [?] cm
51%
8 cm
Round to four decimal places.
129°
8 cm

Answers

Answer:

6.2172

Step-by-step explanation:

sin129=h/8

h=8(sin129)

8 x 0.77714596... =

6.2172

I just did it.

The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. The height of the triangle is 6.2172 cm.

What is Sine (Sinθ)?

The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. it is given as,

Sin(θ) = Perpendicular/Hypotenuse

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The hypotenuse is the longest side of the triangle.

In the given diagram let the centre of the circle be represented by O, while the point at which line segment h and the circle intersect be represented by B. Also, the point at which the 90° angle is formed is represented by A.

Now, in the ΔABO, for the ∠AOB, the sine ratio of the trigonometric function can be written as,

sin(θ) = perpendicular / Hypotenuse

sin(51°) = AB / OB

sin(51°) = h/ 8 cm

8cm × sin(51°) = h

h = 6.2172 cm

Hence, the height of the triangle is 6.2172 cm.

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x-2y=15
x-3=4y
Simultaneous equation find x and y

Answers

Answer:

x = 27, y = 6

Step-by-step explanation:

x - 2y = 15

x - 4y = 3 (rearranged the orginal equation)

  x - 2y = 15

-  x - 4y = 3

___________

2y = 12

y = 6

Plug this value in any original equation

x - 2(6) = 15

x = 27

x and y of the simultaneous equation are 27 and 6 respectively.

Given,

x - 2y = 15

x - 3 = 4y

Here,

Equations:

x - 2y = 15

Rearranged the original equation

x - 4y = 3

Now subtract both equations,

x - 2y = 15

x - 4y = 3

⇒2y = 12

y = 6

Plug this value in any original equation

x - 2(6) = 15

x = 27

Thus the solution of system of equation is x = 27 and y = 6.

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let pheta be an acute angle. if cos2pheta+cos^2pheta=1, then cospheta=

2/3
1
√6/3
√2/3​

Answers

The required value of  value of cospheta = √2/3​, here correct option is d) √2/3​.

The given equation is a Trignomatric Equation,
cos2pheta+cos^2pheta = 1

What are trigonometric equations?

These are the equation which contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.



cos2pheta + cos^2pheta = 1
Now we know that,

[tex]cos2x[/tex] = [tex]cos^2x -1[/tex]

so, substituting  cos2pheta = 2cos^2pheta - 1
2cos^2pheta-1 + cos^2peta = 1
3cos^2peta = 2
cos^2pheta = 2/3
cospheta = √2/3​

Thus, the required value for the cospheta = √2/3​.

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Question 1 (Essay Worth 10 points)
(07.01, 07.02 MC)
An expression is shown below:
4ck2 + 10k- 16ck 40k

Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)

Part B: Factor the entire expression completely. Show the steps of your work. (6 points)

Answers

Answer:

a)

The GCF is 2k hence: 2k(2ck + 5k - 8c - 20)

b)

2k(2ck + 5k - 8c - 20)

After further factorization:

2k(k - 4)(2c + 5)

If 1-cosA = 1/2 , Then find the value of sinA.

Answers

Step-by-step explanation:

Given :

1- cosA = 1/2

or, CosA = 1 -1/2

Therefore ; CosA = 1/2 = b/h

According to the Pythagoras theorem,

P = root under h^2 - b^2

= root under (2)^2 - (1)^2

= root under 4 -1

= root 3

Again,

SinA = P/h

= root 3 / 2

The sum of three consecutive multiples of 7 is 693. Find the no​

Answers

Let x be a multiple of 7

The next two consecutive multiples of 7 are x + 7 and x + 7 + 7 (i.e. x + 14)

Three consecutive multiples of 7 are

xx + 7x + 14

According to the condition

[tex] \\ \large\blue\longrightarrow\rm \large \:x \: + \: (x \: + \: 7) + (x \: + \: 14) \: = \: 693[/tex]

[tex] \large\blue\longrightarrow \rm \large \:3x \: + \: 21 \: = \: 693[/tex]

[tex] \large\blue\longrightarrow \rm \large \:3x \: = \: 693 \: - \: 21[/tex]

[tex] \large\blue\longrightarrow \rm \large \:3x \: = \: 672[/tex]

Dividing both sides by 3 , we have

[tex]\large\blue\longrightarrow \rm \large \: \frac{3x}{3} \: = \: \frac{672}{3} \\ [/tex]

[tex]\large\blue\longrightarrow \rm \large \: \ \: \frac{ \cancel3x}{ \cancel3} \: = \: \frac{ \cancel{672} \: \: ^{ \red{224}} }{ \cancel3} \\ [/tex]

[tex]\large\blue\longrightarrow \rm \large \:x \: = \: 224 \\[/tex]

x = 224x + 7 = 224 + 7 = 231x + 14 = 224 + 14 = 238

Three consecutive multiples of 7 are

224231238


An elevator in a tall building goes up 7 floors, then
down a floors, down 4 floors, up 8 floors, and
down 2 floors. Now it is on floor 14. On what
floor did the elevator start?

Answers

f= 14 and the answer is the elevator
started on the 14th floor. 14 + 7 - 9 - 4 + 8 - 2 :
14 Is that correct?

You buy three bags of dog food that cost $27.99 each. Before tax, how much will you spend on dog food?

Answers

Answer:

83.97

Step-by-step equation:

Since there is 3 Bags of Dog food and each is 27.99, you want to multipy 27.99*3 to get your answer.

13x13x13=????


I too lazy to calculate

Answers

Answer:

13×13×13=2197 that is the answer

If
tan (0) = -√3
then one possible value of
0
in degrees is:

Answers

One possible answer is 120°

Which graph represent f of x equals square root of the quantity x plus 2 end quantity minus 3? The graph shows a curve with an end point at 2 comma 3 that increasing to the right The graph shows a curve with an end point at 3 comma 2 that increasing to the right The graph shows a curve with an end point at negative 3 comma negative 2 that increasing to the right The graph shows a curve with an end point at negative 2 comma negative 3 that increasing to the right

Answers

The graph of the function:

[tex]f(x) = \sqrt{x + 2} - 3[/tex]

Is the last graph (bottom graph of the second image).  

Which graph represents the given function?

Here we have the function:

[tex]f(x) = \sqrt{x + 2} - 3[/tex]

Remember that the argument of a square root must be zero or larger, then the minimum of the domain is the value of x such that:

x + 2 = 0

x = -2

Then the function starts at:

[tex]f(-2) = \sqrt{-2 + 2} - 3 = -3[/tex]

Then the graph should start at (-3, 2).

We can also identify another point by evaluating in x = 2.

[tex]f(2) = \sqrt{2 + 2} - 3 =2 - 3 = -1[/tex]

So the function also passes through (2, - 1).

Notice that the only graph that contains these two points is the last graph (the bottom graph on the second image), so that is the correct option.

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Answer:

D

Step-by-step explanation:

 did the test got it right

find the prem of shaded shape

Answers

Answer: 50m

Step-by-step explanation:

        The perimeter of the shape can be found by adding together all the lengths of the sides. See attached for my work.

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

[tex]\large\textbf{The missing number inside of the irregular figure is: \boxed{\bf9}}\\\large\textbf{because we had to do, 14 - 4, which gives you \underline{10}, then}\\\large\textbf{subtract 10 from another \underline{1}, \& that gives you you 9.}\\\large\textbf{The other missing number at the bottom: \boxed{\bf 7} because it measures}\\\large\textbf{the SAME length as the top number\large\textbf{Lastly, the last missing}}\\\large\textbf{number is \boxed{\bf4}.}[/tex]

[tex]\large\textbf{Now, let's solve for your perimeter of this irregular figure, }\\\large\textbf{shall we?}[/tex]

[tex]\large\textbf{14m + 9m + 7m + 7m + 4m +4m + 4m + 1m}[/tex]

[tex]\large\textbf{= 23m + 7m + 7m + 4m + 4m + 4m + 1m}[/tex]

[tex]\large\textbf{= 30m + 7m + 4m + 4m + 4m + 1m}[/tex]

[tex]\large\textbf{= 37m + 4m + 4m + 4m + 1m}[/tex]

[tex]\large\textbf{= 41m + 4m + 4m + 1m}[/tex]

[tex]\large\textbf{= 45m + 4m + 1m}[/tex]

[tex]\large\textbf{= 49m + 1m}[/tex]

[tex]\large\textbf{= 50m}[/tex]

[tex]\huge\textbf{Therefore, your answer is: \boxed{\mathsf{\mathsf{50m}}}}\huge\checkmark[/tex]

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

~[tex]\frak{Amphitrite1040:)}[/tex]

1. Which is the better deal?
A. 3 pack of granola bars for $0.93
B. 8 pack of granola bars for $2.72
C. 9 pack of granola bars for $2.97
D. 6 pack of granola bars for $1.92

Answers

Answer:

A or 0.31 per bar

Step-by-step explanation:

To solve this problem we want to find the price of the singular bar and find the cheapest one. So we will divide the amount of bars by the total price, so option A will equal 0.31, option B will equal 0.34, option C will equal 0.33, and option D will equal 0.32. The cheapest per bar price would be a or 3 pack of granola bars for 0.93 cents.

does anyone know how to simplify this problem

Answers

Answer:

[tex]x^{-\frac{2}{7} }[/tex]

Step-by-step explanation:

→ Add the powers together

[tex]x^{\frac{3}{7} {-\frac{5}{7} }[/tex]

→ Simplify

[tex]x^{-\frac{2}{7} }[/tex]

Rashaad leans a 16-foot ladder against a wall so that it forms an angle of 66° with the
ground. What's the horizontal distance between the base of the ladder and the wall?
Round your answer to the nearest tenth of a foot if necessary.

Answers

Trigonometry: Rounded to the nearest tenth of a foot, the answer is 15.2 feet.

What is trigonometry?

Trigonometry is a branch of mathematics that studies the relationships between side lengths and angles of triangles. It is used to calculate unknown side lengths and angles of triangles when given other values, and to solve various problems in different fields such as engineering, navigation, astronomy, and physics.

The horizontal distance between the base of the ladder and the wall can be calculated using trigonometry.
The formula for finding the opposite side of a triangle (in this case, the horizontal distance) when given the angle and the adjacent side is: opposite side = adjacent side x tan (angle)
Therefore, the horizontal distance is 16 feet x tan(66°) = 15.2 feet.
Rounded to the nearest tenth of a foot, the answer is 15.2 feet.

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A company designs a logo using a kite figure around the letter t. The logo is 12 centimeters wide and 16 centimeters tall. What is the area of the logo?

Answers

The area of the logo using the length and the width is 162 cm²

Area of logo

Length of logo = 16 cm

Width of logo = 12 cm

Area of logo = length × width

= 16 cm × 12 cm

= 192 cm²

Therefore, the area of the logo using the length and the width is 162 cm²

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the only difference between the set of whole numbers and the set of natural numbers is that 0 is only included in the set of (circle answer)

whole numbers or natural numbers).

Answers

Answer:

Whole numbers

Explanation:

0 is a whole number, but not a natural number. Whole numbers include all natural numbers and 0.

Line mn is parallel to line pq, mp is perpendicular to mn, and nqis perpendicular to pq. consider each statement and determine whether it is true or false. circle the correct answer. options:

Answers

The true statements are:

Lines mn and pq have the same slopeThe product of the slopes of mn and mp is -1

How to determine the true statements?

The lines are given as:

Lines mn, pq, mp, mn, nq and pq

From the question, the lines are either parallel lines or perpendicular lines

As a general rule,

Parallel lines have equal slope

This means that:

Lines mn and pq have the same slope

Assume two perpendicular lines have slopes m and n.

The relationship between their slopes is:

m * n = -1

This means that:

The product of the slopes of perpendicular lines mn and mp is -1

Hence, the true statements are (a) and (c)

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Complete question

Line mn is parallel to line pq, mp is perpendicular to mn, and nq is perpendicular to pq. consider each statement and determine whether it is true or false. circle the correct answer.

Pptions:

Lines mn and pq have the same slopeThe slope of line pq is undefined. The product of the slopes of mn and mp is -1Lines mp and mq are parallel.

Given ST|UV and SU || TV, find the measure of each angle below.
Find the angle of STU
Find the angle of TVW

Answers

Answer: [tex]\angle STU=34^{\circ}, \angle TVW=116^{\circ}[/tex]

Step-by-step explanation:

By the alternate interior angles theorem,

[tex]3x+4=2x+14\\\\x+4=14\\\\x=10\\\\\implies \angle STU=3(10)+4=\boxed{34^{\circ}}[/tex]

By the alternate interior angles theorem, [tex]\angle UTV=82^{\circ}[/tex], and we also know that [tex]\angle TUV=34^{\circ}[/tex].

Thus, by the exterior angle theorem,

[tex]\angle TVW=82+34=\boxed{116^{\circ}}[/tex]

Which equation represents this number sentence?

Three less than one-fifth of a number is 28.


3−15n=28

15n−3=28

(3−15)n=28

(15−3)n=28

Answers

The equation that represents this number sentence is 1/5n - 3 = 28

Translating word problems

Let the unknown number be "n". One-fifth of a number is expressed as 1/5n

Three less than one-fifth of a number is expressed as 1/5n - 3

Finally, if three less than one-fifth of a number is equal to 28, then the final expression will be 1/5n - 3 = 28

The equation that represents this number sentence is 1/5n - 3 = 28

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Sorry I only have the answer key, lol, but for #13, can someone explain to me where they got 4.6 from?? ty and I don't need an explanation for 14; I just couldn't crop the photo

Answers

The measure of the side RS from the figure is 4.6 units

Midpoint theorem of a trapezium

The given figures are trapezoid. Given the following parameters

PQ = 4RS

We need to determine how PR is equivalent to 4.6

Since PQ = 18.4 from the diagram, hence;

18.4 = 4RS

RS = 18.4/4

RS = 4.6 units

Hence the measure of the side RS from the figure is 4.6 units

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Practice Question:

f(x)= 3x^2 + 4x - 6
g(x)= 6x^3 - 5x^2 - 2

Find (f + g)(x)

Answer Options (Choose one):

A. (f+g)(x) = -6x^3 + 8x^2 + 4x -4

B. (f+g)(x) = 6x^3 + 3x^2 - x - 8

C. (f+g)(x)= 6x^3 - 2x^2 + 4x - 8

D. (f+g)(x)= 9x^3 - x - 8

Answers

The correct option of the function is C. (f+g)(x)= 6x^3 - 2x^2 + 4x - 8.

What is a function?

The function is a type of relation, or rule, that maps one input to specific single output.

Given;

f(x)= 3x^2 + 4x - 6

g(x)= 6x^3 - 5x^2 - 2

So,

(f + g)(x) = (3x^2 + 4x - 6) + (6x^3 - 5x^2 -2)

(f + g)(x) = 3x^2 + 4x - 6 + 6x^3 - 5x^2 - 2

Now, like terms and in order of exponent

(f + g)(x) = 6x^3 - 2x^2 + 4x - 8

Therefore, the correct option is C. (f+g)(x)= 6x^3 - 2x^2 + 4x - 8.

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Consider the equation. Which graph shows a line that is perpendicular to the line defined by the given equation? A. In a linear graph line diagram, A line passes through (minus 4, minus 2) and (2, minus 0.5) which intersects the x-axis at 4 units and the y-axis at minus 1 unit. B. In a linear graph line diagram, A line passes through (2, 0.5) and (minus 4, 2) which intersects the x-axis at 4 units and the y-axis at minus 1 unit. C. In a linear graph line diagram, A line passes through (2, 4) and (0.5, minus 2) which intersects the x-axis at 1 unit and the y-axis at minus 4 units. D. In a linear graph line diagram, A line passes through (2, minus 4) and (0.5, 2) which intersects the x-axis at 1 unit and the y-axis at minus 4 units.

Answers

The graph second represents the line that is perpendicular to the line y = 4x - 2 option  (B) is correct.

What is the slope?

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The question is incomplete:

The complete question is:

Consider the equation y = 4x - 2 Which graph shows a line that is perpendicular to the line defined by the given equation?

Please refer to the attached picture.

The given line:

y = 4x - 2

The slope of the line m = 4

The slope of the line which is perpendicular to the above line:

M = -1/4 = -0.25

The graph second has a slope of -0.25

[tex]\rm y\ -2\ =\ \dfrac{\left(2-0.5\right)}{-4-2}\left(x+4\right)[/tex]

y - 2 = -0.25x - 1

y = -0.25x + 1

Thus, the graph second represents the line that is perpendicular to the line y = 4x - 2 option  (B) is correct.

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How to determine whether square root equation is always, sometimes , never, or true?

Answers

Answer:

While identity is true for all values of x, an equation may be true only for some values of x, or for no values of x. Examples: 2x + 6 = 4 is true when x = -1, but not when x = 0. The equation x + 5 = x is never true because a number is never equal to five more than itself.

Step-by-step explanation:

I hope this helps

20 points!!
Flynn is playing with a toy that is tied to his hand by a string. The toy falls toward the floor then rises back toward Flynn's hand, and repeats this motion, following the path illustrated by given graph.

Answers

The function is h(t) =  7/4 cos π/3 t + 9/4,

What is function?

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

As, h(t) =  x cos π/3 t +y

when t= 0, h(t) = 4

when t= 3, h(t) = 0.5

So,

x cos π/3 *0 +y=4

x cos π/3 *3 +y=0.5

and, x+ y = 4,   -x+ y =0.5

Now,

2y= 4.5

y= 9/4

and, x= 4-9/4= 7/4.

Hence, h(t) =  7/4 cos π/3 t + 9/4

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Answer:got it right

h(t)=1.75, cos(1/3), + 2.25

Step-by-step explanation:

solve for x -3x > 12

Answers

Answer:

x < -6

Step-by-step explanation:

x -3x > 12

Combine like terms

-2x>12

Divide by -2, remembering to flip the inequality

-2x/-2 < 12/-2

x < -6

Answer:

x < -6

Step-by-step explanation:

Other Questions
Read this excerpt from a passage. The cell phone has become a handheld computeran integral part of day-to-day technology. The question, therefore, inevitably arises: Is it appropriate for students to use cell phones in schools? Some schools have adopted policies to ban cell phone use in the classroom, but are these initiatives reasonable? Although they have limitations, cell phones can be used to ensure student safety, help with job skill preparation, and aid in classroom instruction. . . As students enroll in college and enter the workforce, cell phones will continue to be important. While some educators think that cell phones are a distraction, cell phones should be seen instead as tools that improve student safety, employability, and learning. Rather than arbitrarily banning cell phones, school administrators should work on developing technology guidelines and lesson plans that include cell phone use in the classroom. New policies for the twenty-first century will benefit students, teachers, and society.Who is the intended audience for this passage?parentsstudentsgovernment officialseducators which statement accurately describes the relationship between price and quantity demanded? A. when prices increase, quantity demanded decreasesB. when prices increase, quantity demanded stays the sameC. When prices decrease, quantity demanded decreasesD. When prices decrease, quantity demanded stays the same Please help me with this one question ASAP 2. Adems, nos interesa mucho visitar todas las cataratas que enter answer (encontrarse) en el Parque Nacional Canaima. Hay algn lugar donde yo enter answer (poder) sacar fotos de las cataratas desde cerca? How is the two point formula used to find the equation of a line when 2 points are known? a. taking the change in y over the change in x c. dividing the first y by the first x b. taking the change in x over the change in y d. dividing the first x by the first y Please select the best answer from the choices provided A B C D Kmele had paid his credit card on time for three years, but last month he missed the due date. He then noticed that the amount owed increased by $35. This most likely happened because he was charged.A. a late feeB. a higher interest rateC. a minimum-payment feeD. an overdraft-fee for a client with an endotracheal (et) tube, which nursing action is the most important? A(n) __________ is one that appears to be an agreement but lacks an essential requirement for validity and enforceability. Multiple Choice executed contract valid contract enforceable contract void contract voidable contract Work out the surface area of this cylinder...Give your answer in terms of . What are things you can do to help you feel better? or brighten your mood? thanks! The heat in the house is set to keep the minimum and maximum temperatures (in degrees Fahrenheit) according tothe equation Ix - 72.5 = 4. What are the minimum and maximum temperatures in the house? Smiley Corporation's current sales and partial balance sheet are shown below.This yearSales $ 10,000 Balance Sheet: Liabilities Accounts payable $ 1,500 Notes payable $ 3,000 Accruals $ 1,400 Total current liabilities $ 5,900 Long-term bonds $ 2,000 Total liabilities $ 7,900 Common stock $ 1,500 Retained earnings $ 2,000 Total common equity $ 3,500 Total liabilities & equity $ 11,400 Sales are expected to grow by 14% next year. Assuming no change in operations from this year to next year, what are the projected spontaneous liabilities? Do not round intermediate calculations. Round your answer to the nearest dollar. Answer the questions using a complete Spanish sentence.5. Qu es ms recomendable, viajar con o sin gua? There are a variety of treatments available for people struggling with drug abuse. one type of treatment includes withdrawing gradually but completely from drug use. which treatment best describes this process? Solve the following inequality: ALGEBRA 1 Which sentence uses the subjunctive mood correctly?A. Americans take fewer vacations than people in many othernations.OB. It's best that Marci learns how to do her own laundry.C. It is important that she apologize to her sister for what she said.D. Be sure to put your dirty clothes in the hamper, not next to it. NextPretest: Coordinate Geometry7Select the correct answer from each drop-down menu.Are these lines perpendicular, parallel, or neither based off their slopes?6x - 2y = -2y = 3x + 12Theof their slopes isso the lines areI What is the current yield on a 3 year bond with 10% annual coupons, a par value of 100, and a current price of 107.87? A skater starts from rest v1=0, from the top of an h=6m hill and travels d=20m until it gets to the bottom of the hill where its speed is v2=1.2m/s. If the skater has m=50kg, what is the friction force? Diseases tend to spread according to the exponential growth model. In the early days of AIDS, the growth factor (i.e. common ratio; growth multiplier) was around 2.0. In 1983, about 1800 people in the U.S. died of AIDS. If the trend had continued unchecked, how many people would have died from AIDS in 2003?