solve for K thanks!!!

Answer:

B 78 students

Step-by-step explanation:

The answer is d. 132 students

Answer:

6 minutes

Step-by-step explanation:

There are two ways you can simplify this problem:

1. change the dimensions to 3 dm × 3 dm × 5 dm, because 1 L = 1 dm³

2. Adjust the 5 dm dimension to 4/5 that value: 4 dm. Then you're filling a whole volume that is 3 dm × 3 dm × 4 dm = 36 dm³ = 36 L.

__

At the rate of 6 L/min, the tank will be filled to the desired level in ...

(36 L)/(6 L/min) = 6 min . . . . and 0 seconds

_____

A decimeter is 0.1 m = 10 cm, so 1 cubic decimeter is (10 cm)³ = 1000 cm³ = 1 liter. Using decimeters as the unit of measure in volume problems can make conversion to liters trivial.

Answer:

SSS, SAS, ASA, AAS, and HL. These tests describe combinations of congruent sides and/or angles that are used to determine if two triangles are congruent.

Step-by-step explanation:

Answer:

D) The number line with a solid dot and the arrow going to the right of 3.

Step-by-step explanation:

x - 5 >/= -2

x >/= 3

x is greater than or equal to 3.

For this case we must find the solution of the following inequality:

[tex]x-5\geq-2[/tex]

So:

If we add 5 to both sides of the inequality we have:

[tex]x-5 + 5\geq - 2 + 5\\x\geq - 2 + 5\\x\geq 3[/tex]

Thus, the solution is given by all values of x greater than or equal to 3.

Answer:

Option D

Answer:

[tex]\large\boxed{4\sqrt{-81}+\sqrt{-25}=41i}[/tex]

Step-by-step explanation:

[tex]i=\sqrt{-1}\\\\\sqrt{-81}=\sqrt{(81)(-1)}=\sqrt{81}\cdot\sqrt{-1}=9i\\\\\sqrt{-25}=\sqrt{(25)(-1)}=\sqrt{25}\cdot\sqrt{-1}=5i\\\\4\sqrt{-81}+\sqrt{-25}=4(9i)+5i=36i+5i=41i[/tex]

Answer:

33.75

Step-by-step explanation:

find 35 % of 25 then add that to 25.

He sold the ticket at $33.75.

Markup is the amount by which a product is sold above its cost price.

It is given that

Cost Price of the ticket is $25

Selling price = ?

Markup = 35%

Selling Price = 1.35 * 25 = $33.75

Therefore he sold the ticket at $33.75.

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Answer:

3/5

Step-by-step explanation:

Bruh i gotchu Simple

Answer:

i think that it is y=5n

Step-by-step explanation:

Do you mean irrational?

Answer:

Part A) The equation that represent the situation is [tex]\frac{n+54}{9}=21[/tex]

Part B) The value of n is [tex]n=135[/tex]

Part C) The equation is [tex]35+n=60[/tex] and the solution is [tex]n=25[/tex]

Step-by-step explanation:

Part A) A number is increased by 54. The sum is then divided by 9. The result is 21.  Write an equation to represent the description above. Use n for the number

Let

n-----> the number

we know that

The linear equation that represent this situation is equal to

[tex]\frac{n+54}{9}=21[/tex]

Part B) Find the value of n

we have

[tex]\frac{n+54}{9}=21[/tex]

solve for n

Multiply by 9 both sides

[tex]n+54=21*9[/tex]

[tex]n+54=189[/tex]

Subtract 54 both sides

[tex]n=189-54[/tex]

[tex]n=135[/tex]

Part C) Choose two numbers and use them to do the following:

Write an equation that shows your first number added to n equal to your second number. Solve your equation for n

I choose 35 and 60

[tex]35+n=60[/tex]

Solve for n

Subtract 35 both sides

[tex]n=60-35[/tex]

[tex]n=25[/tex]

Answer:

38.72 change

Step-by-step explanation:

153.6 x 1.05 = 161.28

100 x 2 = 200

200-161.28 = 38.72

Answer:

42.36

Step-by-step explanation:

The answer is 3 because you need to use the last equation which is x is greater than or equal to 3.it doesn't make sense to use any of the other two equations because it asked what is the value of g(3).hope this helps if it does please mark brainliest

The answer is 3 you’re welcome

Answer:

Step-by-step explanation:

Recall that an equilateral triangle has three equal interior angles, all 60°.  Let b represent the length of the base.  Draw a dashed line from the upper vertex to the base, perpendicularly.  This dashed line represents the height or altitude of the triangle.  

Now construct a triangle whose opposite side is this altitude, whose hypotenuse is b (and whose base is (1/2)b).

The altitude (opp) is then given by sin Ф = opp / hyp = opp / b.  Solving this for the altitude (opp), we get b·sin 60°:

alt (opp)       √3

------------- = ------

  hyp             2

                                                b·√3    

so that 2 alt = b·√3, or alt = ------------

                                                    2

Thus, for any equilateral triangle of side length b, the height of the triangle is

                             √3

alt = height = b · ------

                               2

Please note:  Your problem statement refers to "the equilateral triangle below."  It's important that you share such illustrations, along with all instructions.  In this case your question was general enough so that I could use the definitions of "sine," "equilateral," etc., to come up with a general answer.

Answer:

do u have a pic i can see

Step-by-step explanation:

The slope of the graph is 3

The y-intercept is -4

The equation of the line is y=3x-4 it shouldn’t be y= then x=

Answer:

The slope  is 3

The y-intercept is -4

The equation of the line is y=3 x=-4

Step-by-step explanation:

:)

The cross between Bbhh and bbHh yields genotypic frequencies

so that 1/4 of the offspring should be expected to be brown with long fur (genotype Bbhh)

Answer:

1/4

Step-by-step explanation:

The same slope between line AD and line AB results from the property of similar triangles. This property states that corresponding sides are proportional, which also applies to the slopes of these sides. Hence, the slopes are equivalent.

The reason the slope of the line between point A and D is the same as the slope between points A and B derives from the concept of similar triangles in geometric math. In similar triangles, corresponding sides are proportional. This proportionality is carried over to the slopes of the lines that form these sides. Slope is defined by the change in y (vertical change) over the change in x (horizontal change). In similar triangles, these changes are proportional meaning the division, or the slope will be the same.

Consider this using Figure A1 Slope and the Algebra of straight lines where they indicate that the slope is the same all along a straight line. This also applies to the lines of similar triangles. Therefore, if triangles ADE and ABC are similar, then the slope of line AD will be the same as the slope of line AB because the ratios of their changes in y over changes in x are equal.

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Answer: The system of equations has no solutions.

Step-by-step explanation:

Identify the equation as:

[tex]x + 2y - z=3[/tex]   [Equation 1]

[tex]2x -y + 2z=6[/tex]    [Equation 2]

[tex]x - 3y + 3z=4[/tex]    [Equation 3]

Multiply  [Equation 1]  by -2 and add this to [Equation 2] :

[tex](-2)(x + 2y - z)=3(-2)[/tex]

[tex]\left \{ {{-2x - 4y +2z=-6} \atop {2x -y + 2z=6}} \right.\\ ..........................\\-5y+4z=0[/tex]

 Find another equation of two variables: Multiply  [Equation 3]  by -2 and add this to [Equation 2]:

[tex](-2)(x - 3y + 3z)=4(-2)[/tex]  

[tex]\left \{ {{2x -y + 2z=6} \atop {-2x +6y -6z=-8}} \right.\\........................\\5y-4z=-2[/tex]

Then you get this new system of equations. When you add them, you get:

[tex]\left \{ {{-5y+4z=0} \atop {5y-4z=-2}} \right.\\..................\\0=-2[/tex]

Since the obtained is not possible, the system of equations has no solutions.

The solution to the system of equations x + 2y - z = 3, 2x - y + 2z = 6, and x - 3y + 3z = 4 is (-1, 1, 2) utilizing substitution method.

The subject of this question is to find a solution to the system of linear equations. We can solve this system by methods of either substitution, elimination or matrix - but let's use substitution. First, let's isolate x in the first equation: x = 3 - 2y + z. Then we substitute x into the second and the third equation:

After simplifying these equations, we find y = 1 and z = 2. Plugging these back into x = 3 - 2y + z, we get x = -1. Therefore, the solution to the system is (-1, 1, 2).

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Answer: Last option 155°

Step-by-step explanation:

We have the components of the vectors u and v.

Then, to find the angle between them, perform the following steps:

1) Calculate the scalar product u * v

If [tex]u = 2i + \sqrt{11}j[/tex]  and [tex]v = -3i-2j[/tex]

Then, the product scalar u * v is:

[tex]u * v = (2)(-3) + (\sqrt{11})(-2)[/tex]

[tex]u * v = -6-2\sqrt{11}[/tex]

[tex]u * v = -12.633[/tex]

2) Calculation of the magnitude of both vectors.

[tex]| u | = \sqrt{(2) ^ 2 + (\sqrt{11})^2}\\\\| u | = \sqrt{4+11}\\\\| u | = \sqrt{15}[/tex]

[tex]| v | = \sqrt{(- 3) ^ 2 + (- 2) ^ 2}\\\\| v | = \sqrt{9 +4}\\\\| v | = \sqrt{13}[/tex]

3) Now that you know the product point between the two vectors and the magnitude of each, then use the following formula to find an angle

[tex]u * v = | u || v |cos(\alpha)[/tex]

[tex]-12.633 = \sqrt{15}\sqrt{13}*cos(\alpha)\\\\cos(\alpha) = \frac{-12.633}{\sqrt{15}\sqrt{13}}\\\\arcos(\frac{-12.633}{\sqrt{15}\sqrt{13}}) = \alpha\\\\\alpha =155\°[/tex]

[tex]\bf \cfrac{7^2}{2x+6}\div \cfrac{3x-5}{x+3}\implies \cfrac{7^2}{2x+6}\cdot \cfrac{x+3}{3x-5}\implies \cfrac{49}{2~~\begin{matrix} (x+3) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}\cdot \cfrac{\begin{matrix} x+3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix} }{3x-5}\implies \cfrac{49}{2(3x-5)}[/tex]

Answer:

3×3×3⁄3×3×3×2

Step-by-step explanation:

27 = 3×3×3

54 = 3×3×3×2

The prime factored form of 27⁄54 is thus;

3×3×3⁄3×3×3×2

Answer:

D= 3×3×3/2×3×3×3

Step-by-step explanation:

A prime factored form breaks the number into prime numbers that give the same value when multiplied

27= 3×3×3

54=2×3×3×3

To get the simplest form of a fraction you proceed with division.

=3×3×3 / 2×3×3×3.............................cancel 3 in the numerator and denominator

= 1/2

Answer:

D

Step-by-step explanation:

The vertex is the turning point of the graph.

This is at (- 1, - 2)

The graph changes from decreasing to increasing at (- 1, - 2)

Hence is a minimum at (- 1, - 2)

The graph of the parabola is minimum at (-2, -1).

The path of an object that is thrown in the air and falls back to the earth.

A graph of the parabola is given.

a.   At ( -1, -2 ), the parabola is minimum.

b.   At ( -2, -1 ), point does not satisfy.

c.   At ( 2, 1 ), the point does not satisfy.

d.   At ( 1, 2 ), the point does not satisfy.

Thus, the graph of the parabola is minimum at (-2, -1).

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Answer:

John will get more money after 5 years.

Step-by-step explanation:

To calculate compound interest we use the formula

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

A = Amount

P = Principal

r = Rate of interest ( in decimal )

n = number of compounding period (quarterly = 4) (monthly = 12)

t = time in years

John wants to deposit $1000 with an interest of 4% compounded quarterly for 5 years.

[tex]A=1,000(1+\frac{0.04}{4})^{(4)(5)}[/tex]

[tex]A=1,000(1.01)^{20}[/tex]

A = 1000 ( 1.22019 )

A = $1220.19

John will get $220.19 as interest after 5 years.

Cayden wants to deposit $1,000 with an interest of 3% compounded monthly for 5 years.

[tex]A=1,000(1+\frac{0.03}{12})^{(12)(5)}[/tex]

[tex]A=1,000(1.0025)^{60}[/tex]

A = 1,000 ( 1.161617 )

A = 1161.62

Cayden will get $161.62 as interest after 5 years.

Therefore, John will get more money after 5 years.

Answer:

$97.24

Step-by-step explanation:

You can use a direct proportion.

175 is to $52.36 as 325 minutes is to x.

Use two ratios of minutes/dollars:  

175/52.36 = 325/x

Cross multiply.

175x = 52.36 * 325

175x = 17,017

x = 17,017/175

x = 97.24

Answer: $97.24

Answer:

[tex]2.5[/tex]

Step-by-step explanation:

The given radical expression is

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

Observe that, the given expression can be written as difference of two squares.

That is; [tex](x+y)(x-y)=x^2-y^2[/tex]

We apply this property to obtain:

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

We now simplify to get:

[tex](2+\sqrt{-\frac{3}{2} }) (2-\sqrt{-\frac{3}{2} })=4-\frac{3}{2}[/tex]

This simplifies to:

[tex](2+\sqrt{-\frac{3}{2} }) (2-\sqrt{-\frac{3}{2} })=\frac{5}{2}=2.5[/tex]

It an expression or a way of saying f(x)=6x2+12-7

Answer:

[tex]x=-1+\frac{\sqrt{78} }{6}[/tex] and

[tex]x=-1-\frac{\sqrt{78} }{6}[/tex]

Step-by-step explanation:

[tex]f(x) = 6x^2 + 12x - 7[/tex]

To find out the zeros of the quadratic function, we apply quadratic formula

[tex]x=\frac{-b+-\sqrt{b^2-4ac}}{2a}[/tex]

From the given f(x), the value of a=6, b=12, c=-7

Plug in all the values in the formula

[tex]x=\frac{-12+-\sqrt{12^2-4(6)(-7)}}{2(6)}[/tex]

[tex]x=\frac{-12+-\sqrt{312}}{2(6)}[/tex]

[tex]x=\frac{-12+-2\sqrt{78}}{2(6)}[/tex]

Now divide each term by 12

[tex]x=-1+-\frac{\sqrt{78} }{6}[/tex]

We will get two values for x

[tex]x=-1+\frac{\sqrt{78} }{6}[/tex] and

[tex]x=-1-\frac{\sqrt{78} }{6}[/tex]

Answer:

C [tex]\frac{2}{1}[/tex]

Step-by-step explanation:

Recall the mnemonics SOH-CAH-TOA

The tangent ratio is the ratio of the opposite side of the right triangle  to the adjacent side.

From the diagram, the side opposite to <B is 2 units and the adjacent side is 1 unit.

This implies that;

[tex]\tan \angle B=\frac{2}{1}[/tex]

The correct choice is C

Answer:

C. 2.5

Step-by-step explanation:

If the number is -2.5

Basically the opposite in a summary

Answer:

C

Step-by-step explanation:

The additive inverse is what you add to a number to get zero.

That is, the negative of a number

Here A is positioned at - 2.5

The additive inverse is 2.5 → C

Since - 2.5 + 2.5 = 0

Answer:

im not sure were you got this but are there any pictures?

Step-by-step explanation:

The figure ABCD represents a square

A square is a four sided quadrilateral with all of the side having equal lengths. The total internal angle of a square is 360° with each side perpendicular to each other.

A square is a 4 sided polygon where all the sides are of equal length.

The area of the square is the square of any one of its side

Let a be the side of the square

Area of the square = a²

Given data ,

Let the figure be represented as ABCD

Now , the coordinates of ABCD are noted clockwise

And , the diagonals of the quadrilateral are AC and BD

Now , the diagonals AC and BD intersect at X

where the measure of angle ∠ABX = measure of ∠XBC

So , the diagonals are equal and the angles are equal

And , the figure represents a square

where the sides AB = BC = CD = AC

Hence , the figure is a square by SAS congruency

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Answer:

3 ft

Step-by-step explanation:

It is because 3 times 18 is 54 and 3 is 15 less than 18

The width of a rectangle is 3 feet .

The area can be defined as the amount of space covered by a flat surface of a particular shape. It is measured in terms of the "number of" square units (square centimeters, square inches, square feet, etc.)

According to the question

Let length of rectangle = x

The width of a rectangle is fifteen feet less than its length.

i.e,

Width of a rectangle = x - 15

Now,

Area of the rectangle = 54 square feet .

Length * Width = 54

x (x - 15 ) = 54

[tex]x^{2}[/tex] - 15x - 54 = 0

[tex]x^{2}[/tex] - (18-3)x - 54 = 0

[tex]x^{2}[/tex] - 18x + 3x - 54 = 0

x(x-18) +3(x-18) = 0

(x-18) (x+3) = 0

x= 18 , -3

length of rectangle = 18 feet

Width of a rectangle = 18 - 15

                                  = 3 feet

Hence, The width of a rectangle is 3 feet .

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Answer:

65°, 70°, 80°, 155°, 170°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 5 ( pentagon )

sum = 180° × 3 = 540°

Sum the given angles and equate to 540

x + x - 5 + x + 10 + 2x + 15 + 2x + 30 = 540

7x + 50 = 540 ( subtract 50 from both sides )

7x = 490 ( divide both sides by 7 )

x = 70

Hence angles are

x = 70°

x - 5 = 70 - 5 = 65°

x + 10 = 7 0 + 10 = 80°

2x + 15 = (2 × 70) + 15 = 140 + 15 = 155°

2x + 30 = (2 × 70) + 30 = 140 + 30 = 170°