The number of students of a school was 450 last year and it is 396 this year. By how many percent did the number decrease.

Answer:

Surface Area = 3,543.7 cm²

Step-by-step explanation:

Surface area of the cylinder = 2πr(h + r)

Where,

radius (r) = 12 cm

height (h) = 35 cm

Plug in the values into the surface area formula

S.A = 2*π*12(35 + 12)

S.A = 24π(47)

S.A = 3,543.71651 cm²

≈ 3,543.7 cm² (approximated to the nearest tenth)

Answer:

A

Step-by-step explanation:

simplify

-7+3(-4e-3)

=-7-12e-9

=-16-12e

rearrange

-12e-16

take -4 from equation

-4(e3+4)

or

multiply -4 in a

-4(3e)+-4(4)

-12e-16

Answer:

c. none of the above

Step-by-step explanation:

-7+3(-4e-3)

-4(-4e - 3)

Answer:

A. System C simplifies to 2x - 3y = 4 and 4x - y = 54 by dividing the second equation by three (3).

B. Systems A and C have the same solutions.

C. Systems A and B have different solutions.

Step-by-step explanation:

Given the following system of equations;

System A

2x - 3y = 4  .....equation 1

4x - y = 18  .......equation 2

We would solve the above equations using the elimination method;

Multiplying eqn 1 by 2;

2*(2x) - 2*(3y) = 4*2

4x - 6y = 8  ...... equation 3

Subtracting eqn 2 from eqn 3;

(4x - 4x) + (-6y - (-y)) = 8 - 18

0 + (-6y + y) = -10

-5y = -10

5y = 10

[tex] y = \frac {10}{5} [/tex]

y = 2

To find the value of x;

2x - 3y = 4

2x - 3(2) = 4

2x - 6 = 4

2x = 4 + 6

2x = 10

[tex] x = \frac {10}{2} [/tex]

x = 5

Solutions (x, y) = (5, 2)

System B

3x - 4y = 5  ..... equation 1

y = 5x + 3  ..... equation 2

We would solve the equations using substitution method;

Substituting eqn 2 into eqn 1, we have;

3x - 4(5x + 3) = 5

3x - 20x - 12 = 5

-17x - 12 = 5

-17x = 12 + 5

-17x = 17

[tex] x = \frac {-17}{17} [/tex]

x = -1

To find the value of y;

y = 5x + 3

y = 5(-1) + 3

y = -5 + 3

y = -2

Solutions (x, y) = (-1, -2)

System C

2x - 3y = 4  ..... equation 1

12x - 3y = 54  ...... equation 2

We would solve the above equations using the elimination method;

Subtracting eqn 2 from eqn 1;

(2x - 12x) + (-3y -(-3y)) = 4 - 54

-10x + (-3y + 3y) = -50

-10x + 0 = -50

-10x = -50

10x = 50

[tex] x = \frac {50}{10} [/tex]

x = 5

To find the value of y;

2x - 3y = 4

2(5) - 3y = 4

10 - 3y = 4

3y = 10 - 4

3y = 6

[tex] y = \frac {6}{3} [/tex]

y = 2

Solutions (x, y) = (5, 2)

Answer:169

Step-by-step explanation:13 x 13 = 169

You would take the larger side of the pen (13) or else it wouldn’t fit if you chose 10.

Answer:

Step-by-step explanation:

A vertical line is an "x = " equation. To find out what this equation is, just plug in the value that satisfies the x value in the coordinate:

x = -5

If we were looking for the horizontal line that goes through that same point, we only need remember that a horizontal line is a "y = " line. To find out what this equation is, just plug in the value that satisfies the y value in the coordinate:

y = -2

Answer:

1372 cubic centimeters

Step-by-step explanation:

V = 4/3(π)(r^3)

Exchange π for 3

4/3(3)(r^3) = ?

Exchange r for the radius, 7

4/3(3)(7^3) = ?

4/3(3)(343) = ?

4(343) = 1372

1372 cubic centimeters

Answer:

5y-3y+12+12=18

2y = 18 - 24

y = -6/2

y = -3

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

[tex]\large\textsf{5y + 12 - 3y + 12 = 18}\\\\\large\text{COMBINE the LIKE TERMS}\\\\\large\textsf{(5y - 3y) + (12 + 12) = 18}\\\\\large\text{NEW EQUATION: \textsf{2y + 24 = 18}}\\\\\large\text{SUBTRACT 24 to BOTH SIDES}\\\\\large\textsf{2y + 24 - 24 = 18 + 24}\\\\\large\text{Cancel out: \textsf{24 - 24} because it gives you 0}\\\\\large\text{Keep: \textsf{18 - 24} because it helps solve it helps solve for y}\\\\\large\textsf{18 - 24 = \bf -6}[/tex]

[tex]\large\text{NEW EQUATION: \textsf{2y = -6}}\\\\\large\text{DIVIDE 2 to BOTH SIDES}\\\\\mathsf{\dfrac{2y}{2y}=\dfrac{-6}{2}}\\\\\large\text{Cancel out: }\mathsf{\dfrac{2}{2}}\large\text{ because it gives you 1}\\\\\large\text{KEEP: }\mathsf{\dfrac{-6}{2}}\large\text{ because it gives you the y-value}\\\\\large\textsf{y = }\mathsf{\dfrac{-6}{2}}\\\\\mathsf{\dfrac{-6}{2}= \bf -3}\\\\\\\\\\\boxed{\boxed{\huge\textsf{Answer: y = \bf -3}}}\huge\checkmark[/tex]

[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}\\\\\\\\\\\\\\\\\frak{Amphitrite1040:)}[/tex]

Answer:

g(x) = (x + 5)(x + 1)(x - 7)

Step-by-step explanation:

i know for a fact im right

The complete equation of function whose zeros are given;

                               f(x) = (x+5)(x+1)(x-7)

A polynomial is a type of algebraic expression in which the exponents of all variables should be a whole number.

Here, given zeros are;

   -5, -1, 7

then we can write;

x = -5,  x = -1; x = 7

x +5 = 0 ; x + 1 = 0 ; x - 7 = 0

On multiplying all the terms we get;

(x+5)(x+1)(x-7) = 0

Thus, The complete equation of function whose zeros are given;

                               f(x) = (x+5)(x+1)(x-7)

Learn more about Polynomial from:

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Answer:

The answer is 80

Step-by-step explanation:

we know that

the outlier is 50, as it is not around the other numbers in the data set.

therefore

mean=[76+ 79 + 80 + 82+ 78 + 83 + 79 + 81 + 82]/9

mean=[720]/9

mean=80

Answer:

80

Step-by-step explanation:

mean=[76+ 79 + 80 + 82+ 78 + 83 + 79 + 81 + 82]/9

mean=[720]/9

mean=80

Answer:

The vertices of ABCD:

A ( - 3, 1 )

B ( 4 , - 3 )

C ( 1, 3 )

D ( - 1 , 4 )

∴ ( 4 x,  4 y ):

A ` ( - 12, 4 )

B ` ( 16, - 12 )

C ` ( 4, 12 )

D ` ( - 4 , 16 )

Step-by-step explanation: I hope this helps! ™(*/ω＼*)

Answer: The expression would look like 2x+(25+3y).

Step-by-step explanation:

Let the number be x

2x+(25+3y)

The algebraic expression will be [tex]2x+(25+3y)[/tex] .

Expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

We have,

A number [tex]x[/tex]

Number [tex]y[/tex],

The sum of twice the number [tex]x[/tex] and [tex]25[/tex] more than [tex]3[/tex] times the number [tex]y[/tex] ,

So,

According to the question,

sum of twice the number [tex]x[/tex] [tex]=2x[/tex]

And,

ore than [tex]3[/tex] times the number [tex]y[/tex] [tex]=25+3y[/tex]

Now,

The whole  algebraic expression,

[tex]2x+25+3y[/tex]

Hence, we can say that the algebraic expression will be [tex]2x+(25+3y)[/tex] .

To know more about expression click here

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Answer:

2. Candle dimensions: x = 6.3 cm                   h  = 6.29 cm

A (min) = 373.49 cm²

3. Cylindrical oven dimensions:  x  = 0.54 m   h = 0.55 m

A (min)= 1.4747 m²

Step-by-step explanation:

2.A   The volume V of the cylindrical candle is 785 cm³

V = π*x²*h                x is the radius of the base and h the heigh of the cylinder

The surface area A is area of the base   π*x² . plus lateral area 2*π*r*h

then .   A  = π*x²  + 2*π*x*h .             h = V/π*x²

A as a function of x . is

A(x)  = π*x²  + 2*π*x*785/π*x²

A(x) =  π*x²  + 1570/x

Taking derivatives on both sides of the equation we get:

A' (x) = 2*π*x - 1570/x²

A'(x) = 0 .   2*π*x - 1570/x² = 0 .       2*π*x³  =  1570

x³ = 250

x = 6.3 cm .              and .            h  = 785/π*x² .  h = 785/124.63

h  = 6.29 cm

Then dimensions of the cylindrical candle:

x = 6.3 cm                   h  = 6.29 cm

A (min) =  3.14 * (6.3)²  + 6.28*6.3*6.29

A (min) = 124.63  + 248.86

A (min) = 373.49 cm²

3. For a cylindrical oven    V = 0.512    h =  0.512/ π*x²

Following the same procedure

A(x)  = π*x²  + 2*π*x*0.512/π*x² .A(x)  = π*x²  + 1024/x

A'(x) = 2* π*x - 1.024/x²

A'(x) =0 .                2* π*x - 1.024/x² =0 .       2* π*x³ . = 1.024

x³ = 0.512/π .            x³ = 0.163

x  = 0.54 m     h  = 0.512/π*x² .            h = 0.55 m

A(min) = 3.14*(0.54)²  +  1024/x

A(min)= 0.9156 + 0.5591

A (min)= 1.4747 m²

Answer:

129

Step-by-step explanation:

Since,

AD = BC

AD = 3x + 24

BC = 4x - 11

3x + 24 = 4x - 11

4x - 11 = 3x + 24

4x - 3x = 24 + 11

x = 35

BC = 4x - 11

= 4 ( 35 ) - 11

= 140 - 11

BC = 129

Answer:

[tex]AB=BC[/tex]

[tex]3x+24=4x-11[/tex]

[tex]3x-4x=-11-24[/tex]

[tex]x=35[/tex]

[tex]BC=4\times 35-1[/tex]

[tex]=140-11[/tex]

[tex]=129[/tex]

--------------------------

Hope it helps..

Have a great day!!

Answer:

peter will get 225

Answer:

75

Step-by-step explanation:

5 miles-8km

x miles-120 km

x=120×5÷8

x=75 (miles)

Answer:

s

Step-by-step explanation:

since 5 miles is the same as 8 kilometers,how many miles is 120 kilometers..use ratio and proportion

5miles:8kilometers

x. :120kilometers

8x/8=600/8

x=75miles

I hope this helps

Answer:

Step-by-step explanation:

3n  +4 sequence

n = 1 ,   3*1 + 4 = 3 + 4 = 7

n = 2 ;   3*2 + 4 = 6 + 4 = 10

n = 4 ;   3*3 + 4 = 9 + 4 = 13

n = 5 ;   3 *4 + 4 = 12 + 4 = 16

Sequence :  7, 10, 13 , 16, ........

4n - 5

n= 1 ;      4*1 - 5 = 4 - 5 =  -1

n = 2;    4*2 - 5 = 8 - 5 = 3

n = 3 ;   4*3 - 5 = 12 - 5 = 7

n = 4 ;   4*4 - 5 = 16 - 5 = 11

Sequence: -1, 3 , 7 , 11 ,........

f(x) -> - f(x): Relflection across x-axis

-f(x) -> -f(x-4): Vertical Translation right 4 units

Answer:

360

Step-by-step explanation:

The formula for the sum of an infinite geometric series is a₁/(1-r), where a₁ represents the first value and r represents the ratio. We can plug in our values here to get

a₁/(1-r) = 240/(1-1/3)

= 240 / (2/3)

= (240/1) / (2/3)

= (240/1) * (3/2)

= 360

Answer:

I got 5.51x10^-4

Step-by-step explanation:

Answer:

.0005507

Step-by-step explanation:

5.6 x [tex]10^{-4}[/tex]

9.3 x [tex]10^{-6}[/tex]

 560 x [tex]10^{-6}[/tex]

- 9.3 x [tex]10^{-6}[/tex]

550.7 x [tex]10^{-6}[/tex]

.0005507

Answer:

156

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

first you sum the ratios

1+2=3

[tex] \frac{2}{3} \times x = 22 \\ 2x = 66 \\ x = 33 \\ this \: mean \: that \: we \: have \: 33 \: \\ students[/tex]

since boys are 22 , all we have to do is to subtract 22 from 33 the answer would be 11

therefore we have 11 girls.

Answer:

its 11

Step-by-step explanation:

Answer:

W

Step-by-step explanation:

The vertical line test is a simple tool to determine if a graph is a function. Draw a vertical line through the graph. If at any point where you draw this line you hit the relation twice or more you know it to not be a function. What I mean is that if you have multiple Y's for a single X, then it cant be a function.

Side note: Vertical is up and down, like the line in X.

Answer:

[tex]y=-2(sin(2x))-7[/tex]

Step-by-step explanation:

1. Approach

Given information:

What conclusions can be made about this function:

Therefore, one has the following information figured out:

[tex]y=-n(sin(ax))+b[/tex]

Now one has to find the following information:

2. Midline

The midlines can simply be defined as a line that goes through a sinusoidal function, cutting the function in half. This is represented by the constant (b). One is given that point (0, -7) is where the graph intersects the midline. The (y-coordinate) of this point is the midline. Therefore, the midline is the following:

y = -7

2. Amplitude

The amplitude is represented by the coefficient (n). It can simply be defined by the distance from the midline to point of maximum (the highest part of a sinusoidal function) or point of minimum (lowest point on the function). Since the function reaches a point of minimum after intercepting the (y-axis) at its midlines, the amplitude is a negative coefficient. One can find the absolute value of the amplitude by finding the difference of the (y-coordinate) of the point of minimum (or maximum) and the absolute value of the midline.

point of minimum: [tex](\frac{\pi}{4},9)[/tex]

midline: [tex]y=-7[/tex]

Amplitude: 9 - |-7| = 9 - 7 = 2

3. Period

The period of a sinusoidal function is the amount of time it takes to reach the same point on the wave. In essence, if one were to select any point on the sinusoidal function, and draw a line going to the right, how long would it take for that line to reach a point on the function that is identical to the point at which it started. This can be found by taking the difference of the (x- coordinate) of the intersection point of the midline, and the (x-coordinate) of the point of minimum, and multiplying it by (4).

point of minimum: [tex](\frac{\pi}{4},9)[/tex]

midline intersection: [tex](0, -7)[/tex]

Period: [tex]4(\frac{\pi}{4}-0)=4(\frac{\pi}{4})=\pi[/tex]

However, in order to input this into the function in place of the variable (a), one has to divide this number by ([tex]2\pi[/tex]).

[tex]a=\frac{2\pi}{\pi}=2[/tex]

4. Assemble the function

One now has the following solutions to the variables:

[tex]n =-16\\a=2\\b=-7\\[/tex]

Substitute these values into the function:

[tex]y=-2(sin(2x))-7[/tex]

Answer:

20/60 = 33%

18/60 = 30%

21/60 = 35%

31/60 = 52%

Step-by-step explanation:

Just divide em'

Simple as that.

Answer:

I hope th is helps you I just divided the fractions by the way :)

Answer:

0033

Step-by-step explanation:

.033 of a whole number so its .033

Answer:

x ≤ 6.5

Step-by-step explanation:

x−4 + x ≤ 9

Combine like terms

2x-4≤ 9

Add 4 to each side

2x-4+4≤ 9+4

2x≤ 13

Divide by 2

2x/2 ≤ 13/2

x ≤ 6.5

Answer:

C. 5+ 1.50x is less than or equal to 25

Step-by-step explanation:

Maya has 25 dollars to spend, and it cost 5 to get in. Each ride will cost her 1.50, so she has to spend up to or less than 25 on the entry fee and each ride.