Solve: (x + 4)2 – 4 = 16
O x= - 4+2V5
O
O x= – 4 + 20
O x= 4 + V20
O x= +4

Step-by-step explanation:

Check out the attached photo

Answer:

Step 1

-3x -12-5x-15 is the correct expression.

Step-by-step explanation:

For 1st Circle, A1= 36π

For 2nd Circle, A2= 81π/4

A1-A2 = 63π/4

π = 22/7

=49.5unit²

The differences in the areas of circles in square centimeters is 49.455

[tex]A = \pi r^{2}[/tex]

Where,

A is the area of circle

r is the radius of circle

and π = 3.14

Radius of circle is the distance from the center of the circle to any point on it's circumference. It is calculated as :

[tex]Radius = \frac{diameter}{2}[/tex]

According to the given question

Diameter of one circle is 12cm and diameter of another circle 9cm.

Area of circle with diameter 12 cm = [tex]\pi (\frac{12}{2} )^{2}[/tex] = [tex](3.14)(6)^{2}[/tex] = 113.04 square cm

Area of circle with diameter 9 cm = [tex]\pi( \frac{9}{2} )^{2} =(3.14)(4.5)^{2} = 63.585[/tex] square cm

Therefore,

The difference between the areas of two circles = (113.04 -63.585) square centimeter = 49.455 square centimeter.

Learn more about the area of circle here:

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Answer:

Each book cost about $6.20 per book, or in more general terms, $6 per book.

Step-by-step explanation:

If you round the $30.85 total of 5 books to $31 and divide that by 5, you get an average cost of $6.20 per book.

If you need a more general answer, you could round the $30.85 total of 5 books to $30 and divide that by 5, you get an average cost of $6 per book.

[tex]\dfrac{3}{\sqrt 7- \sqrt 2}\\\\\\=\dfrac{3 \left( \sqrt 7+ \sqrt 2\right)}{\left(\sqrt 7- \sqrt 2 \right)\left( \sqrt 7+\sqrt 2\right)}\\\\\\=\dfrac{3 \left( \sqrt 7+ \sqrt 2\right)}{\left(\sqrt 7 \right)^2 - \left(\sqrt 2 \right)^2 }\\\\\\= \dfrac{3 \left( \sqrt 7+ \sqrt 2\right)}{7-2}\\\\\\=\dfrac{3 \left( \sqrt 7+ \sqrt 2\right)}5[/tex]

Answer: y=80x

Step-by-step explanation:

It should be 80x ....try that

Answer:

Radius = 8in

Step-by-step explanation:

[tex] \hookrightarrow \sf \: V = {\pi r}^{2} h[/tex]

Where,

⇢ 3014.4 = (3.14)(r²)(15)

⇢ 3014.4 = (r²)(47.1)

⇢ 3014.4 = 47.1r²

⇢ 3014.4/47.1 = 47.1r²/47.1

⇢ 64 = r²

⇢ r = √64

⇢ r = 8

[tex] \therefore [/tex] The value of radius is 8 inches

Answer: 4?

Step-by-step explanation: im prob wrong

Answer:

3.5

Step-by-step explanation:

Answer:

a = 6

b = 25

Step-by-step explanation:

As alternative angles in a parallel line are equal to each other,

5a = 3a + 12

So, now we can find the value of a by making "a" the subject.

5a - 3a = 12

2a = 12

Divide both sides by 2.

a = 6°

And now let us find the value of b.

We know that interior angles in a triangle are added up to 180°.

So,

2b + 4b + 3a + 12 = 180

We can replace a with 6 and then we can make "b" the subject to find the value of b.

Let us solve it now.

2b + 4b + 3 × 6 + 12 = 180

6b + 18 + 12 = 180

6b + 30 = 180

6b = 180 - 30

6b = 150

Divide both sides by 6.

b = 25°

Answer:

(3, 4) does not make y = .5x + 1.5 true.

Step-by-step explanation:

y = .5x + 1.5

(3, 4)

Substitute 3 for x and 4 for y and see if the two sides of the equation are equal to each other.

Since 4 ≠ 3, the point (3, 4) does not make the equation y = .5x + 1.5 true.

Answer:

[tex]x > - 14[/tex]

Step-by-step explanation:

Since the dot in the illustration isn't filled in, that means that x can not be a part of -14, which means it is greater than 14

The function Q is a linear function  because the function Q has a constant rate

The functions are given as:

A linear function is represented as:

y = mx + b

Where m represents the slope, and b represents the y-intercept

By comparing y = mx + b to the functions, we can see that the function Q is a linear function.

This is so because the function Q has a constant rate, while the function P does not have a constant rate

Read more about linear functions at:

https://brainly.com/question/4025726

Answer: 6

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

E is ththe answer

the first equation should be T + C = 118 and the second equation should be C + 26 = T

none of these equations are correct

Answer:

600

Step-by-step explanation:

10x60=600

since its 10% you multiply by 10 to get 100%

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3500\\ r=rate\to 2\%\to \frac{2}{100}\dotfill &0.02\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases}[/tex]

[tex]A=3500\left(1+\frac{0.02}{1}\right)^{1\cdot 5}\implies A\approx 3864.28~\hfill \underset{earned~interest}{\stackrel{3864.28~~ - ~~3500}{\approx 364.28}}[/tex]

Hi!

[tex]\cfrac{y2-y1}{x2-x1}[/tex]

Y2 and Y1 represent the y-coordinates, and X2 and X1 represent the x-coordinates.

We are given the points:

(4, 6) and (7, 12)

Using this formula, we plug in the given points like so:

[tex]\cfrac{12-6}{7-4}[/tex]

Now we can simplify:

[tex]\cfrac{12-6}{7-4}=\cfrac{6}{3} =2[/tex]

Therefore, your final answer is:

[tex]\cfrac{12-6}{7-4}=2[/tex]

For a similar problem, see:

https://brainly.com/question/16613294

https://brainly.com/question/26951413

Answer:

12 - 6

---------  =2

7 - 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Reflection of the ocean, blue

Answer:

[tex] \frac{ 3 }{100} < \frac{1}{10} < 0.8 < 0.91[/tex]

Step-by-step explanation:

0.8=0.8

1/10=0.1

3/100=0.03

0.91=0.91

Hence required arrangement

0.03,0.1,0.8,0.91

I hope it helped you

Answer:
I'm pretty sure its 0.03,0.1,0.8,0.91

Step-by-step explanation:

i did the assignment too :)

Answer:

the answer to that question is 5.314

Answer:

12-2 is 10

Step-by-step explanation:

4. sector angle = 120°

area of sector = 120/360* π*r^2

= 1/3 π *36 = 12π = 37.69 cm^2

area of isosceles ∆ = .5*36*sin 120 = 15.58cm^2

area of shaded portion = 37.69 - 15.58= 22.11 cm^2

5. sector area = 90/360 * π * 64 = 16π ft^2

area of right ∆ = 1/2*64= 32ft^2

shaded portion area = 16π-32 = 18.26ft^2

6. sector area = 60/360 π 36 = 6π m^2

triangle area = √3/4 * 36 = 9√3 m^2

shaded area = 18.84 - 9√3 = 3.26 m^2

7. sector area = 45/360*π*18^2 = 40.5 π yd^2

8. sector area = 90/360*π*16 = 64π cm^2

9. sector area = 60/360 * π * 169 = 28.16π m^2

10. sector area = 135/360*π*64 = 24π cm^2

1. circle area = π*5.5^2 = 30.25π cm^2

2. circle area = π*0.85*.85 = .7225π ft^2

3. circle area = π * 1/9 in^2

Answer:

13

Step-by-step explanation:

13 is the number in the very middle of the set.

Another way to find this is to add up all numbers and divide by the total in the data set which in this case would be 26

the x-intercepts are simply found by setting y = 0 and then solving for "x", now, this equation doesn't factor in nice integers, so let's plug it in the quadratic formula.

[tex]\stackrel{f(x)}{0}~~ = ~~4x^2+10x-7 \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~~~~~~~\textit{quadratic formula} \\\\ 0=\stackrel{\stackrel{a}{\downarrow }}{4}x^2\stackrel{\stackrel{b}{\downarrow }}{+10}x\stackrel{\stackrel{c}{\downarrow }}{-7} \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ x= \cfrac{ - (10) \pm \sqrt { (10)^2 -4(4)(-7)}}{2(4)}\implies x=\cfrac{-10\pm\sqrt{100+112}}{8}[/tex]

[tex]x=\cfrac{-10\pm\sqrt{212}}{8}\implies x=\cfrac{-10\pm 2\sqrt{53}}{8}\implies x=\cfrac{-5\pm \sqrt{53}}{4} \\\\\\ x= \begin{cases} \frac{-5 + \sqrt{53}}{4}\\\\ \frac{-5 - \sqrt{53}}{4} \end{cases}\qquad \qquad x\approx \begin{cases} 0.57\\ -3.07 \end{cases}[/tex]

Answer:

$7897.5

Step-by-step explanation:

..............

Answer:

So, draw a number line on a piece of paper. Then, divide it into eight parts and graph the points (I did them in the colors of the ribbons)

Answer:

2000+800+40+6+0.07+0.009

Step-by-step explanation:

Maybe?

The expanded form of the given term 2,846.079 can be written as; (2000+800+40+6+0.07+0.009)

The number is written in the form  [tex]a \times 10^b[/tex] where we have[tex]1 \leq a < 10[/tex] The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10.

We have to write the expanded notation for 2,846.079.

The expanded form of the given term is;

2,846.079 = 2000+800+40+6+0.07+0.009

Hence, The expanded form of the given term 2,846.079 can be written as; (2000+800+40+6+0.07+0.009)

Learn more about scientific notation here:

https://brainly.com/question/3112062

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