At Mathville Middle School, there were 50 students and 50 lockers. Each year for Pi Day (March 14), the students lined up in alphabetical order and performed the following strange ritual. The first student opened every locker. The second student went to every second locker and closed it. The third student went to every third locker and changed it (i.e. if the locker was open, the student closed it; if the locker was closed, the student opened it). In a similar manner, the fourth, fifth, sixth, . . . student changed every fourth, fifth, sixth, . . . locker. After all 50 students had passed by the lockers, which lockers were left open?

HELP ASAP PLZZZ :C

Answer:

Step-by-step explanation:

this is no wrong thi is perfect answer ok

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Answer:

O número é 3

Step-by-step explanation:

Este número é 3

Número de base = 3

Potência = 3

Então, 3 ^ 3 = 27

Os valores de base e potência são iguais e o número resultante tem dois dígitos.

Answer:

Step-by-step explanation:

[tex]7 \times -6\frac{1}{8} = 7 \times \frac{-49}{8} = -\frac{343}{8}[/tex]

Answer:

-343/8 or -42 7/8

Step-by-step explanation:

7(-49/8) = -343/8 or -42 7/8

Answer:

Step-by-step explanation:

Thank your for revising and improving the image.

Assuming DF is a straight line,

Given E is the mid-point of DF

mCE = mGF

CE || GF

Then

mDE = mEF (E midpoint of DF)

Angle DEC = Angle EFG (corresponding angle, DF transversal of parallel lines CE and GF)

mCE = mGF (given)

Then triangles DCE and EGF are congruent by reason SAS (side-angle-side)

Answer:

B) & C)

Step-by-step explanation:

___________________

Answer:

Line AC

Step-by-step explanation:

Given

See attachment for triangles

Required

60 degrees clockwise rotation about A

Since [tex]\triangle ABC[/tex] and [tex]\triangle ABD[/tex] are equilateral, then all angles in both triangles are [tex]60^o[/tex]

So, rotating in clockwise direction of A means that a line segment in the right of A will be considered.

The closest is line AC;

Hence, AC is [tex]60^o[/tex] clockwise of point A

Answer:

6574900

Step-by-step explanation:

Answer:

6,574,900

Step-by-step explanation:

have a good day

Answer:

68

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

15^2 not = 6^2 + 11^2.

Answer:

6π

Step-by-step explanation:

Formula: C=2πr

C=2π3

C=6π

Answer:

Step-by-step explanation:

Part C: (Explanation with steps)

Let the length of the swimming pool = l feet

And width of the pool = w feet

Perimeter of the pool = 2(l + w) feet

Since, perimeter of the pool = 8 feet

2(l + w) = 80

l + w = 40

l = (80 - w) -------(1)

Area of the pool = Length × width

A(w) = l × w

By substituting the value of l from equation (1)

A(w) = (80 - w) × w

A(w) = 80w - w²

To find the maximum area of the pool we will find the derivative of the function with respect to 'w' and equate it to zero.

A'(w) = 80 - 2w

(80 - 2w) = 0

w = [tex]\frac{80}{2}[/tex]

w = 40 feet

Therefore, for width (w) = 40 feet area of the pool will be maximum.

From equation (1),

l = 80 - 40

l = 40 feet

Therefore, maximum area of the pool = l × w

                                                               = 40 × 40

                                                               = 1600 square feet

Part A:

Function representing area of the pool,

A(w) = -w² + 80w

Part B:

Maximum area of the surface of the pool = 1600 square feet

Answer:

A= third interior angle

108+24+A=180

A=180-24-108

A=48

Step-by-step explanation:

Given:

In triangle ABC, AB = AC, AD is angle bisector and measure of angle C is 49 degrees.

To find:

The value of x and y.

Solution:

In triangle ABC,

[tex]AB=AC[/tex]                    (Given)

So, triangle ABC is an isosceles triangle and by the definition of base angles the base angles of isosceles triangle are congruent.

In isosceles triangle ABC,

[tex]\angle B\cong \angle C[/tex]

[tex]m\angle B\cong m\angle C[/tex]

[tex]m\angle B\cong 49^\circ[/tex]

The angle bisector of an isosceles triangle is the median and altitude of the triangle. So, the angle bisector is perpendicular to the base.

[tex]m\angle ADB=90^\circ[/tex]

[tex]x^\circ=90^\circ[/tex]

In triangle ABD,

[tex]m\angle DAB+m\angle ABD+m\angle ADB=180^\circ[/tex]         [Angle sum property]

[tex]y^\circ+49^\circ+x^\circ=180^\circ[/tex]

[tex]y^\circ+49^\circ+90^\circ=180^\circ[/tex]

[tex]y^\circ=180^\circ-49^\circ-90^\circ[/tex]

[tex]y^\circ=41^\circ[/tex]

Therefore, the correct option is B.

Answer:

16 x¹⁰ + 88 x⁵ + 121

step-by-step explanation:-

( 4 x⁵ + 11)²

( 4x ⁵)² +2 ( 4x⁵) ( 11 ) + ( 11 )²

calculate we get

16 x¹⁰ + 88 x⁵ + 121

Answer: 104 boxes were sold in 1 week.

Step-by-step explanation:

I think I'm right sorry if I'm not, good luck!

Answer: First Week: 104 Second Week:109 Third Week: 218

sorry for being a year late

Answer:

A(-1,1) B(-3,2) C(-3,4) D(-1,5)

Step-by-step explanation:

when the shape is rotated 270° it will be in quadrant 2(top left). the x coordinates will be negative. the y coordinates will still be positive. basically if you move your paper so the shape in in the top left corner, you will find your coordinates.

Answer:

Step-by-step explanation:

Corresponding angles are congruent

x² - 72 = 6x

x² - 6x - 72 = 0

Sum = -6

Product = -72

Factor = -12 , 6   {-12*6 = -72  & -12 +6 = -6}

x² + 6x - 12x -72 = 0

x(x + 6) - 12(x + 6) = 0

(x + 6)(x -12)=0   {Ignore x + 6 = 0 because angles won't be in negative}

x - 12 = 0

x = 12

Answer:

1 : 2.5

Step-by-step explanation:

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).

2(x-y)=3y

divide both sides of the equation by 2

x - y = 3y/2

x - y = 1.5y

combine like terms together

x = 1.5y + y

x = 2.5y

ratio of x : y

1 : 2.5

Take a deep breath and try to study right before the exam. Use your time on the exam wisely because it time goes away fast. Study the basics and formulas. Have a good exam your going to do good!!!

Answer:

Answer = 32

Step-by-step explanation:

p= 8

4p

(4)(8)

=32

Answer:

I got, 8 x 4 = 32

Answer:

44

Step-by-step explanation:

10 x 3 = 30

8 + 6 =14

30 + 14 = 44

Answer:

110ft²

Step-by-step explanation:

Area of figure=(10×8)+(1/2×6×8)

=80+24

=112 ft²

=110 ft² (to nearest tenth)

Answer:

a = 9 / 7

step by step explanation:

9 / - a + 15 = 8

Determined the defined range

9 / ( - a ) + 15 = 8 , a ≠ 0

subtract 15 from each side

9 / - a + 15 - 15 = 8 - 15

calculate the difference

9 / - a = - 7

multiply both side of equation by - a

9 / - a × - a = - 7 × - a

9 = 7 a

divide each side by of equation by -7

9 / 7 = 7 a / 7

9 / 7 = a

swap the side of equation . ( optional )

a = 9 / 7

[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

[tex]\huge\underline{\sf{\red{Problem:}}}[/tex]

[tex]\huge\underline{\sf{\red{Solution:}}}[/tex]

[tex] \quad \quad \quad \quad\sf{ ⟶ \frac{9}{ - a} + 15 = 8}[/tex]

[tex]\quad \quad \quad \quad\sf{ ⟶ \frac{9}{ - a} = 8 - 15}[/tex]

[tex]\quad \quad \quad \quad\sf{ ⟶ \frac{9}{ - a} = -7}[/tex]

[tex]\quad \quad \quad \quad\sf{ ⟶ 9 = 7a}[/tex]

[tex]\quad \quad \quad \quad\sf{ ⟶ \frac{9}{a} = \frac{7a}{a} }[/tex]

[tex]\quad \quad \quad \quad\sf{ ⟶ \frac{9}{ 7} = \frac{ \cancel{ \red{7}} a}{ \cancel{ \red{7} }} }[/tex]

[tex]\quad \quad \quad \quad \boxed{\sf{ ⟶ \frac{9}{7} = a } }[/tex]

[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]

[tex] \huge \quad \quad \underline{ \boxed{\sf{ \red{ \frac{9}{7} = a }} }}[/tex]

[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

#CarryOnLearning

[tex]\sf{\red{✍︎ C.Rose❀}}[/tex]

Answer:

13units

Step-by-step explanation:

Using the distance formula;

D = √(x2-x1)²+(y2-y1)²

Distance from home to the soccer field is expressed as;

Home (0,0) and soccer field (-4,3)

D =√(3-0)²+(-4-0)²

D =√3²+4²

D =√9+16

D = √25

D = 5

Distance from  soccer field to library is expressed as;

Library (4,3) and soccer field (-4,3)

D =√(-4-4)²+(3-3)²

D =√(-8)²+0²

D =√64

D = 8

Hence the total distance = 5 + 8 = 13units

Answer:

cone a is the correct answer

the third choice is the cirrect answer.

the cone with a 4.5 cm height and a 8cm diameter

hope this helps :)

Step-by-step explanation:

Correct option is

A

x= 4 and y = 5

Let the parallelogram be ABCD Perimeter= 40cm

AB =3x cm BC=2x cm(given)

Perimeter of parallelogram 2(3x+2x)=40

solving equation we get x=4

Also,AB=CD(opposite sides of parallelogram) 3x=2(y+1) (given)

Putting x=4

3(4)=2y+2

12=2y+2

10=2y

Hence y=5 and x=4

Answer:

see below

Step-by-step explanation:

24 = c + -10

Add 10 to each side

24+10 = c-10+10

34 = c

Check

24 = 34 + -10

24 = 24

This is a true statement so it is a solution

Answer:

x+133 =131

x. =131-133

x. =(-2)