Longhorn High School opens its door in 2005 with 800 students. The school grows 5% every year. How long will it take for the school to reach 3000 students?

Step-by-step explanation:

[tex] \sqrt{28 - 6x} = x - 6 \\ ({ \sqrt{28 - 6x}) }^{2} = {(x - 6)}^{2} \\ + - (28 - 6x) = {x}^{2} - 12x + 36 \\ 0 = {x}^{2} - 6x + 8 \\ 0 = (x - 2)(x - 4) \\ x - 2 = 0 \\ x - 4 = 0 \\ x = 2 \\ x = 4 \\ we \: must \: check \: the \: answer \: \\ \sqrt{28 - 6(2)} = 2 - 6 \\ \sqrt{16} = - 4 \\ 4 = - 4 \\ it \: is \: wrong. \: \\ \sqrt{28 - 6(4)} = 4 - 6 \\ \sqrt{4} = - 2 \\ 2 = - 2 \\ it \: is \: wrong \: too.[/tex]

-( 28 - 6x ) = x² - 12x + 36

x² - 18x + 64 = 0

√∆ = √( 324 -256)= √68 = 2√17

x = (18 ± 2√17)/2 = 9 ± √17 → 9+√17 ✓

9-√17 is not acceptable because the radical answer can not be negative.

Answer: B: 7.14 in²

Step-by-step explanation:

Area of the square: 2x2 = 4in²

Area of the circle: πr² = 3.14 x 1² = 3.14

add them both to get the composite area:

4 + 3.14 = 7.14 in²

Step-by-step explanation:

Simplify 20/55;

[tex] \frac{20 \div 5}{55 \div 5} = \frac{4}{11} [/tex]

[tex] \frac{2}{5} \: is \: not \: equivalent \: to \: \frac{4}{11} [/tex]

In order for 2/5 to be equivalent with 20/55, it has to be an unsimplified form of the ratio 2/5. We can identify that 20/55 isn't.

Assuming 2:5 and 22:55 are equivalent. Then;

[tex]\implies 2:5 = 20:55[/tex]

This can be checked by using two methods. Listed below!

This method has been used in the above answer. The above answer has simplified the right-hand-side and verified that the ratios are not equivalent.

Obtained ratio:

[tex]2:5 = 20:55[/tex]

We can see that 20 and 55 are divisible by 5. Therefore, we can divide 5 to the numerator and the denominator to simplify the fraction.

[tex]2:5 = (20 \div 5):(55 \div 5)[/tex]

[tex]2:5 = (4):(11)[/tex]

Therefore, the given ratios are NOT equivalent.

To determine if the ratios are equivalent (or not);

Therefore,

[tex]\implies 2:5 = 20:55[/tex]

[tex]\implies 2 \times 55 = 5 \times 20[/tex]

Now, let's simplify both sides of the equation.

[tex]\implies 2 \times 55 = 5 \times 20[/tex]

[tex]\implies 110 = 100 \ \ \ (\text{False})[/tex]

Therefore, the given ratios are NOT equivalent, as stated in method 1.

Learn more about equivalent ratios: https://brainly.com/question/18835388

The hydroxide ion concentration in a solution of nh3 with a poh of 4.65 is 2.2387×10⁻⁵ M.

The pH scale, which originally stood for "potential of hydrogen," is used to describe the acidity or basicity of aqueous solutions. The pH of acidic solutions is lower than that of basic or alkaline solutions.

Hydronium ions concentration of the solution with a pH value of 4.65.

[tex]pH = -\rm log[H_3O^+]\\\\4.65 = -log[H_3O^+]\\\\\text{Taking Antilog}\\\\10^{-4.65}=[H_3O^+]\\[/tex]

[tex][H_3O^+] = 2.2387 \times 10^{-5} M[/tex]

Now, we know that the Hydroxide ions concentration of the solution with pOH value of 4.65. Therefore,

[tex]pOH = -\rm log[OH^-]\\\\4.65 = -log[OH^-]\\\\\text{Taking Antilog}\\\\10^{-4.65}=[OH^-][/tex]

[tex][OH^-]=2.2387 \times 10^{-5}\ M[/tex]

Hence, the hydroxide ion concentration in a solution of nh3 with a poh of 4.65 is 2.2387×10⁻⁵ M.

Learn more about pH value:

https://brainly.com/question/1503669

Answer:

first one is 2.24 then -5

2nd one is 2.24 then -5

i just did it

Answer:

24.6%

Step-by-step explanation:

243-195=48

48/195=x/100

48 × 100

4800/195= 24.6%

Answer:

63 yellow cards

Step-by-step explanation:

84 divided by 4 is 21, and 21 times 3 is 63.

Answer:

[tex]64 \frac{1 3}{21} ft {}^{2} [/tex]

Step-by-step explanation:

Area of the garden:

[tex](8 \frac{3}{7} \times 7 \frac{2}{3} )ft {}^{2} \\ \\ ( \frac{59}{7} \times \frac{23}{ 3} )ft {}^{2} \\ \\ = \frac{1357}{21} ft {}^{2} \\ \\ = 64 \frac{13}{21} ft {}^{2} \: (ans)[/tex]

Answer: the second one because its a virdacal reflection

Step-by-step explanation: it’s sideways all you have to do is find the equation

Answer:

her pay increases by 30$ each hour she work

Step-by-step explanation:

hope it helps

Answer:

90

40

45%

Step-by-step explanation:

the way I go 40 was by looking around the blank space, and i see that the 2 totals are 110 and 88. 110-70=40 and 88-48=40 so that is the answer for that one

and for the frequency i took 90 and divided it by 200 gettin 0.45 and then i moved the decimal 2 places to the right giving me my percentage

Step-by-step explanation:

the extreme values of a function happen at the zeros of the first derivation of that function.

f(t) = -16t² + 72t

f'(t) = -2×16t + 72 = -32t + 72

0 = -32t + 72

32t = 72

t = 72/32 = 2.25 seconds

f(2.25) = -16(2.25)² + 72×2.25 = -16×5.0625 + 72×2.25 =

= -81 + 162 = 81 ft

so, the rocket reaches its maximum height of 81 ft after 2.25 seconds of flight.

Answer:

7 times x = t

Step-by-step explanation:

if your buying 3 dozen of donuts, the total cost would be by doing 7x3

Solution:

It should be noted:

Let's reread the sentence carefully.

Eric sells donuts for $7    per dozen.

                                   ↥           ↥

                                  $7     1 dozen

The equation created: $7 = 1 dozen

If x dozen doughnuts were sold, equation: $7x = t = x dozen

Thus, the equation that can determine the total cost, t, for x dozen of donuts is $7x = t.

Answer:

14

Step-by-step explanation:

when you add all the numbers together you get 14, also where you put the line you can see that the line is a 3 and 5 minus 2 is 3. The next corner next to the 3 is 1 cm because if you look at the horizontal 2 it matches up with the horizontal 1 and 2 minus 1 is 1.

Answer:

Question (a)

Surface area of a cube = [tex]6x^2[/tex]   (where [tex]x[/tex] is an edge length)

⇒ surface area = 6 × 3²

                         = 6 × 3 × 3

                         = 6 × 9

                         = 54 in²

Volume of a cube = [tex]x^3[/tex]   (where [tex]x[/tex] is an edge length)

⇒ volume = 3³

                 = 3 × 3 × 3

                 = 27 in³

Question (b)

To find the area of a dilated figure, simply multiply the original area by the scale factor squared:

Surface area = [tex]6x^2[/tex] × sf²  

                      = 54 × 0.5²

                      = 13.5 in²

To find the volume of a dilated figure, simply multiply the original volume by the scale factor cubed:

Surface area = [tex]x^3[/tex] × sf³

                      = 27 × 0.5³

                      = 3.375 in³

Answer:

Step-by-step explanation:

x(x-4)= x^2-4x

x^2-4x(x-1)

x^3-5x^2+4x

Answer:

1. -2/1

2. -1.5

3. 25

4. -0.025

Step-by-step explanation:

divide by the coefficient on both sides of then equation.

Answer:

If Its 7 in diameter than the answer is 21.98 if it is radius than it is 153.86

Step-by-step explanation:

Answer:

Solution:

Radius of a circle = 7 in

We know that

Circumference of a circle = 2πrSubstituting the values

= 2 × π × 7

= 14π

= 43.9823 ≈ 43.98 in

Therefore, the circumference of a circle is 43.98 in.

Answer: Part A C x G = X

Part B it represents the cost

Step-by-step explanation:

Answer:

122

Step-by-step explanation:

Rectangle: 6*15=90

Inner Trapezoid: 6*4=24

Triangles: 4*2=8/2=4*2=8

Answer:

the outlier would be 36 oz

Step-by-step explanation:

the rest of the points on the box plot are clustered together while 36 is far away from the nearest point (39)

hope this helps :)

Answer:

The answer above is correct, I got it wrong originally! Sorry for wasting this spot! ^w^

Step-by-step explanation:

Answer:

The answer are

(-2,0)

(-1,-10)

(0,-1)

Step-by-step explanation:

I believe these are all the right answers

Hope this helps and mark brainliest please :)

The number that needs to be added to the equation [tex]x^{2} +4x+3[/tex] will be 1

Given equation is  [tex]x^{2} +4x+3[/tex]

Now by adding 1 to the equation  [tex]x^{2} +4x+3[/tex] we get

[tex]x^{2} +4x+3+1=x^{2} +4x+4[/tex]

[tex]x^{2} +2x+2x+4[/tex]

Now by splitting the equation

[tex]x(x+2)+2(x+2)[/tex]

[tex](x+2)(x+2)[/tex]

[tex](x+2)^{2}[/tex]

Thus the number that needs to be added to the equation [tex]x^{2} +4x+3[/tex] will be 1

To know more about Trinomial follow

https://brainly.com/question/1538726

A - 1

Correct answer. Since, well you just need one more tile to add, especially noticeable in the picture shown! Enjoy folks

Answer:

The answer is 13!

Step-by-step explanation:

Have a great day!

Answer:$14

$336/24

$14

Step-by-step explanation:

Answer:

= 8.06

Step-by-step explanation:

4^2 + 7^2
16 + 49
= ∫65
= 8.06

Answer:

2; 3; 4.

Step-by-step explanation:

Li - 2 (two circles); Na - 3 (three circles); K - 4 (four circles).

Z-score of given data comes to be 4.84.

It is given that:

Mean price of a prom dress μ= $195

Standard deviation σ= 12

Mean of price spent on prom dress out of 20 people X= $208

Sample size n= 20

A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.

Z-score = (X-μ)/(σ/√n)

Where, X = observed value

μ= mean

σ = standard deviation

n =sample size

Z-score of above data = (208-195)/(12/√20)

Z-score = 4.84

Therefore, the Z-score of the given data comes to be 4.84.

To get more about Z-score visit:

brainly.com/question/25638875

Answer:

B

Step-by-step explanation:

on edge

Given :

⠀

To Find :

⠀

Solution :

Now,

⠀

According to the Question :

[tex]\longrightarrow\qquad \sf{{x

+ (x - 64) {}^{ \circ} = {180}^{ \circ} }}[/tex]

[tex]\longrightarrow\qquad \sf{{x + x - 64 {}^{ \circ} = {180}^{ \circ} }}[/tex]

[tex]\longrightarrow\qquad \sf{{2x - 64 {}^{ \circ} = {180}^{ \circ} }}[/tex]

[tex]\longrightarrow\qquad \sf{{2x = {180}^{ \circ} + 64 {}^{ \circ}}}[/tex]

[tex]\longrightarrow\qquad \sf{{2x = {244}^{ \circ} }}[/tex]

[tex]\longrightarrow\qquad \sf{{x = \dfrac{{244}^{ \circ}}{2} }}[/tex]

[tex]\longrightarrow\qquad \mathfrak{\pmb{{x = {122}^{ \circ} }}}[/tex]

⠀

Therefore,

⠀

⠀

Henceforth ,