156,161,190,165,172,165,184,168,184,149,169,172,172,178,215,180,165,178,178,182,164,184,187,189,190 in order.

To solve this problem, we need to factor both

 ⇒ numerator: [tex]x^2-4x+4[/tex]

 ⇒ denominator: [tex]x^2-4[/tex]

Let's factor:

 ⇒ [tex]x^2-4x+4=(x-2)(x-2)\\[/tex]

 ⇒ [tex]x^2-4=(x+2)(x-2)[/tex]

Let's put it back into the fraction:

[tex]\frac{x^2-4x+4}{x^2-4}=\frac{(x-2)(x-2)}{(x+2)(x-2)} =\frac{x-2}{x+2}*\frac{x-2}{x-2} =\frac{x-2}{x+2} *1=\frac{x-2}{x+2}[/tex]

Answer: Choice (3) or [tex]\frac{x-2}{x+2}[/tex]

Answer:

[tex]\frac{x-2}{x+2}[/tex]

Step-by-step explanation:

First, let's factor out the fraction into [tex]\frac{(x-2)^2}{(x+2)(x-2)}[/tex], now we can cancel out the [tex]x-2[/tex]. After we do that, our final answer is [tex]\frac{x-2}{x+2}[/tex].

Hope this helps! :)

Answer:

It's 30.72

Step-by-step explanation:

Take your total and times it by the percentage (20 in this case) and then divide by 100.

total: 25.60$

tip: 20% of total

25.60 * 20 = 512

512/100 = 5.12

25.60 + 5.12 = 30.72

Answer:

(5,2)

Step-by-step explanation:

if it’s (x,y) and 4 to the y to get 2

Answer:

She has not got enough spice for 6 weeks.

Step-by-step explanation:

Remark

0.35 kg = 0.35 * 1000 grams / kg = 350 grams.

Since she will use 6 * 80 = 480 grams for 6 weeks, and since 350 is less than 480, she does not have enough spice for six weeks.

Answer:

im sorry I just need to us ur page to right on

Answer:

-2/3

Step-by-step explanation:

[tex]= 1 \frac{2}{3} - 2 \frac{1}{3}\\=\frac{1 * 3 + 2}{3} - \frac{2 * 3 + 1}{3} \\= \frac{5}{3} - \frac{7}{3}\\ = \frac{5 - 7}{3} \\\\= \frac{-2}{3}[/tex]

Answer:

1. Binary number system only uses 2 digits: 0 and 1.

2. Octal number system uses 8 digits: 0,1,2,3,4,5,6,7 with the base of 8.

3. Decimal number system uses 10 digits: 0,1,2,3,4,5,6,7,8,9 with a base of 10.

4. Hexadecimal number system uses 16 digits and alphabets: 0,1,2,3,4,5,6,7,8,9 and A,B,C,D,E,F with the base of 16.

5. Quinary number system uses 0,1,2,3,4 with 5 as the base.

Absolute value is a number's distance from 0 on the number line.

A prime factor is a number with no factors other than one and itself.

The smallest quantity divisible by every number of the set is known as the least common multiple.

The denominator of a fraction can never be zero since a number divided by zero is not defined.

If the numerator is greater than or equal to the denominator, the fraction is called an improper fraction.

A mixed fraction is the sum of a whole number and a fraction.

To simplify a fraction is to convert it into a form which the numerator and denominator have no common factor other than one.

Step-by-step explanation:

Hope this helps :)

Answer:

20.25

Step-by-step explanation:

Answer: [tex]9[/tex] [tex]is[/tex] [tex]your[/tex] [tex]answer :)[/tex]

Step-by-step explanation:

Write the problem as a mathematical expression.

2.25 x 9

The degree is the largest exponent on the variable.

9

Your answer should be (9)

Answer:

$16.37

Step-by-step explanation:

They want to raise $463.72 and they already have $218.22 so if we subtract it

$463.72-$218.22=$245.50

we get $245.50 left to raise.

We have 15 teachers so we do

$245.50/15

we get 16.36 but we round it so we get $16.37.

Answer:D

Step-by-step explanation:

Answer:

1. False

2. True

3. true

Step-by-step explanation:

The first answer is false, the second one is true and the third is true

The total weight of water and a full tank in the nearest pound is 16328 lb.

Volume of a hemisphere = (2/3) x (n) x (r^3)

3.14 x 5³ x 2/3 = 261.67 ft³

Weight = volume x weight per cubic foot

261.67 ft³ x 62.4 = 16328 lb

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Conic sections are shapes that are formed when the surface of a cone intersects with a plane shape

The types include

The parabola can be applied in solving quadratic equations, functions and graph.

The general equation of a parabola is: y = a(x - h)² +k

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Answer:

graph 19 because since it is that means also like the thingy equals that number si then like when the thing is at the highest point it cab maybe actually it will equal that number

Answer:

[tex]D)~(x+3)^2 = 16[/tex]

Step-by-step explanation:

[tex]~~~~~~x^2 +6x -7 = 0\\\\\implies x^2+6x = 7\\\\\implies x^2 +2 \cdot 3 \cdot x +3^2 -3^2 = 7\\\\\implies x^2 +2 \cdot 3 \cdot x+3^2 = 7+3^2\\\\\implies (x+3)^2 = 7+9\\\\\implies (x+3)^2 = 16[/tex]

Answer:

1, 2, 5, and 10

Step-by-step explanation:

Factors of 30 :

1, 2, 3, 5, 6, 10, 15, 30

Factors of 20 :

1, 2, 4, 5, 10, 20

What numbers go in the shaded overlap?

1, 2, 5, and 10

Answer:

i think its D but i'm not very sure. try it

Step-by-step explanation:

Answer:

200^2

Step-by-step explanation:

Answer:

$826.28

Step-by-step explanation:

Given:

[tex]P = 600[/tex]

[tex]r = 6% or 0.06[/tex]% or [tex]0.06[/tex]

[tex]t = 6[/tex]

Work:

[tex]A=Pe^{rt}[/tex]

[tex]A=600e^{0.06*6}[/tex]

[tex]A=600e^{0.36}[/tex]

[tex]A=826.28[/tex]

Therefore, the balance after 6 year is 826.28.

1) 7 = 7.0

2) 23 = 23.0

3) 1.562 = 1.6

Answer:

1) round off 7 to the nearest 10 is 10

2) round off 23 to the nearest 10 is 20

3)round off 1.562 to the nearest 10 is1.6

step by step explanation :

any whole number that is 5 and more can be rounded off to 10 e.g 5, 6 ,7 but numbers that are less than 5 can't be rounded off to 10 so it's becomes 0 e.g 4,2,3

example : round off 12 to the nearest ten

the answer is 10

Answer:

V of both A and B is 100 cm³

Step-by-step explanation:

the volume (V) of a prism is calculated as

V = Ah ( A is the area of the base and h the height )

A

A = 20 and h = 5 , then

V = 20 × 5 = 100 cm³

B

A = 25 and h = 4 , then

V = 25 × 4 = 100 cm³

The kinetic energy of the bowling ball with the mass and traveling at the given velocity is 10.14 Joules.

Kinetic energy is simply a form of energy a particle or object possesses due to its motion.

It is expressed as;

K = (1/2)mv²

Where m is mass of the object and v is its velocity.

Given that;

We substitute the given values into the above equation.

K = (1/2)mv²

K = 0.5 × 3kg × (2.6m/s)²

K = 0.5 × 3kg × 6.76m²/s²

K = 10.14kgm²/s²

K = 10.14J

Therefore, the kinetic energy of the bowling ball with the mass and traveling at the given velocity is 10.14 Joules.

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Answer:

1) The smaller t is -6

The larger t is 7

2) The vertex of the parabola is (1/2, -42.25)

Step-by-step explanation:

Hey there!

To find the zeros of a function, you need to find two values that add up to "b" and multiply together to get "ac"

The b and ac come from the standard form of a parabola which this statement is given to us right now

t^2-t-42

1 is the "a" value, -1 is the "b" value, and -42 is the "c" value

What are two numbers that multiply together and get -42 and those same two numbers add up to -1

Those two numbers are -7 and 6

When you multiply those numbers together, you get -24

And when you add them together, you get -1

Now you can split the -t in the equation

The new equation after splitting the original equation will look like this

t^2-7t+6t-42

Now we group the equation into two parts

(t^2-7t) + (6t-42)

Since t is the common variable in the first set of parentheses, we can take it out

t(t-7)+(6t-42)

Now in the second pair of parentheses, 6 is the constant term

You can also take that out

t(t-7)+6(t-7)

Now we have our zero pairs

We take one of the parentheses and the terms that are outside of the parentheses

Now we have

(t+6)(t-7)=0

Now we can find our two zeros

The smaller t is -6

The larger t is 7

Now we have to find the vertex

The formula to solving the x-coordinate of the vertex is -b/2a

The "b: value is -1 and the "a" value is 1

So, the x-coordinate of the vertex is 1/2

Now we plug that into the equation

(1/2)^2 - 1/2 - 42

1/4 - 1/2 - 42

-1/4 - 42

-169/4 --> -42.25

So, the y-coordinate of the vertex s -42.25

This means,

The vertex of the parabola is (1/2, -42.25)

The vertex of the quadratic function is of (3,256), which means that a maximum height of 256 feet is obtained after 3 seconds.

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

Considering the coefficient a, we have that:

In this problem, the height of the ball is given by:

f(t) = -16t² + 96t + 112.

Hence the coefficients are a = -16 < 0, b = 96, c = 112, and the coordinates of the vertex are:

The vertex of the quadratic function is of (3,256), which means that a maximum height of 256 feet is obtained after 3 seconds.

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Answer:

Step-by-step explanation:

45° Corresponds to (π÷4) which is a remarkable measure

We are all supposed to learn by heart the values of it’s ‘sin’ , ‘cos’ , ‘tan’ and ‘cot’ .

the same apply to 30° (corresponds to (π÷6))

……………………………………………………………

So without a calculator:

tan 45° = 1

cot 45° = 1

sin 30°​ = 1/2

therefore ,

tan 45°.sin 30° - cot45°​ = 1 × (1÷2) − 1 = (1÷2) − 1 = −(1÷2) = −0.5

Answer:

3

Step-by-step explanation:

3÷3=1

cant be divided by 9 and get a whole number

3÷9=.33333

Answer:

8.2

Step-by-step explanation:

the bigger numbers are 9.21 and 9.73 because they have a higher number and 8.9 and 8.2 are the lower ones but 9 is a bigger number than 2.