The quotient c and -19 is 38

Hi! I'm happy to help!

To solve for the area of a semi-circle, we just need to find the area of a circle, and divide it by 2.

The equation for area of a circle is A=[tex]\pi[/tex]r²

It says we can use 3.14 for pi, so we can write our equation like this:

A=3.14(r²)

Since we are dealing with half of a circle, we can  write this as:

A=[tex]\frac{1}{2}[/tex](3.14(r²))

Our radius is a straight line going from the edge of the circle to the center. We have the diameter, which is just the radius doubled (because it goes from the edge to the center point then back to the edge). So, we divide our diameter by 2 to get our radius.

14÷2=7

Our radius is 7, so we can plug that into our equation:

A=[tex]\frac{1}{2}[/tex](3.14(7²))

Now all we have to do, is solve:

A=[tex]\frac{1}{2}[/tex](3.14(49))

A=[tex]\frac{1}{2}[/tex](153.86)

A=76.93

So, our area is 76.93 units².

I hope this was helpful, keep learning! :D

Answer:

y = |x| – 4

Step-by-step explanation:

If we substitute x as 0, we get -4 therefore this is the answer.

Step-by-step explanation:

The angle between vectors is given by

[tex]\cos{\theta} = \dfrac{\vec{\textbf{a}}\cdot \vec{\textbf{b}}}{|\vec{\textbf{a}}||\vec{\textbf{b}}|}[/tex]

The magnitudes for the vectors are as follows:

[tex]|\vec{\textbf{a}}| = \sqrt{a_x^2 + a_y^2 + a_z^2}[/tex]

[tex]\:\:\:\:\:\:\:=\sqrt{(2)^2 +(-5)^2 + (3)^2} = 6.16[/tex]

[tex]|\vec{\textbf{b}}| = \sqrt{b_x^2 + b_y^2 + b_z^2}[/tex]

[tex]\:\:\:\:\:\:\:= \sqrt{(3)^2 + (1)^2 + (4)^2} = 5.10[/tex]

The dot product between the vectors is

[tex]\vec{\textbf{a}}\cdot \vec{\textbf{b}} = (2)(3) + (-5)(1) + (3)(4) = 13[/tex]

Therefore, the angle between the two vectors is

[tex]\cos{\theta} = \dfrac{\vec{\textbf{a}}\cdot \vec{\textbf{b}}}{|\vec{\textbf{a}}||\vec{\textbf{b}}|} = \dfrac{13}{(6.16)(5.10)}[/tex]

or

[tex]\theta = 65.56°[/tex]

Answer:

-2 and 6

Step-by-step explanation:

[tex] - 4 + 8 - 2[/tex]

[tex] - 6 + 8[/tex]

[tex] = - 2[/tex]

○●○●○●○●○●○●○●○●○●○●○●○●○●○

[tex]8 - ( - 3) - 5[/tex]

[tex]8 + 3 - 5[/tex]

[tex] = 6[/tex]

Answer:  [tex]\sqrt{75}[/tex]

================================================

Explanation:

Square both 8 and 9 to get

Since 75 is between 64 and 81, this means [tex]\sqrt{75}[/tex] is between 8 and 9

Put another way, we can say this:

[tex]64 < 75 < 81\\\\\sqrt{64} < \sqrt{75} < \sqrt{81}\\\\\sqrt{8^2} < \sqrt{75} < \sqrt{9^2}\\\\8 < \sqrt{75} < 9\\\\[/tex]

Or we could use a calculator to find that:

Which is another way to see why [tex]\sqrt{75}[/tex] is between 8 and 9.

Answer:

what are we finding

Are we to derive an equation of a straight line

Answer:

There are 5 red ✎ pencils

Step-by-step explanation:

fraction of green pencils:

[tex] = 1 - \frac{1}{3} \\ \\ = \frac{2}{3} [/tex]

let total pencils be x :

[tex] \frac{2}{3} \: of \: x = 10 \: green \: pencils \\ \\ \frac{2}{3} \times x = 10 \\ \\ 2x = 3 \times 10 \\ x = \frac{3 \times 10}{2} \\ \\ x = 15 \: pencils[/tex]

Total pencils = 15

Red pencils:

[tex] = 15 - 10 \\ = 5 \: pencils[/tex]

9514 1404 393

Answer:

  I and III only

Step-by-step explanation:

The graph is symmetrical about the y-axis, so is an even function.

The function is decreasing in the 1st quadrant, so is not increasing everywhere.

The values of the function approach y=0 for extreme values of x, so the graph shows that as a horizontal asymptote.

  I and III only

Answer:

5/10

Step-by-step explanation:

for every girl picked a boy is also picked. There are 10 kids so it's a 50% chance it happens

Answer:

50%

Step-by-step explanation:

5/10

*simplify*

1/2

*divide 1 by 2*

0.5

*multiply by 100, or move the decimal twice*

0.5 ---> 5. ---> 50.

50. = 50

so your answer is 50%.

Answer:

100 rows

Step-by-step explanation:

Answer:

ab and ed are opposite rays

Step-by-step explanation:

PLEASE MARK AS BRAINLIRST

Answer:

A pair of opposite rays are two rays that have the 'same endpoint and extend in opposite directions. So, together a pair of opposite rays always forms a straight line

Answer:

f(t)=-16t^2+8t+2

Step-by-step explanation:

You take f(t)=-16t^2, and for vt look at the initial velocity which was 8 and for s look at the height which was 2

Answer:

r+58=c

(r= remaining, c= total coffee)

Step-by-step explanation:

It looks like the differential equation is

[tex] \left(x^2y + e^x\right) \,\mathrm dx - x^2\,\mathrm dy = 0[/tex]

Check for exactness:

[tex]\dfrac{\partial\left(x^2y+e^x\right)}{\partial y} = x^2 \\\\ \dfrac{\partial\left(-x^2\right)}{\partial x} = -2x[/tex]

As is, the DE is not exact, so let's try to find an integrating factor µ(x, y) such that

[tex] \mu\left(x^2y + e^x\right) \,\mathrm dx - \mu x^2\,\mathrm dy = 0[/tex]

*is* exact. If this modified DE is exact, then

[tex]\dfrac{\partial\left(\mu\left(x^2y+e^x\right)\right)}{\partial y} = \dfrac{\partial\left(-\mu x^2\right)}{\partial x}[/tex]

We have

[tex]\dfrac{\partial\left(\mu\left(x^2y+e^x\right)\right)}{\partial y} = \left(x^2y+e^x\right)\dfrac{\partial\mu}{\partial y} + x^2\mu \\\\ \dfrac{\partial\left(-\mu x^2\right)}{\partial x} = -x^2\dfrac{\partial\mu}{\partial x} - 2x\mu \\\\ \implies \left(x^2y+e^x\right)\dfrac{\partial\mu}{\partial y} + x^2\mu = -x^2\dfrac{\partial\mu}{\partial x} - 2x\mu[/tex]

Notice that if we let µ(x, y) = µ(x) be independent of y, then ∂µ/∂y = 0 and we can solve for µ :

[tex]x^2\mu = -x^2\dfrac{\mathrm d\mu}{\mathrm dx} - 2x\mu \\\\ (x^2+2x)\mu = -x^2\dfrac{\mathrm d\mu}{\mathrm dx} \\\\ \dfrac{\mathrm d\mu}{\mu} = -\dfrac{x^2+2x}{x^2}\,\mathrm dx \\\\ \dfrac{\mathrm d\mu}{\mu} = \left(-1-\dfrac2x\right)\,\mathrm dx \\\\ \implies \ln|\mu| = -x - 2\ln|x| \\\\ \implies \mu = e^{-x-2\ln|x|} = \dfrac{e^{-x}}{x^2}[/tex]

The modified DE,

[tex]\left(e^{-x}y + \dfrac1{x^2}\right) \,\mathrm dx - e^{-x}\,\mathrm dy = 0[/tex]

is now exact:

[tex]\dfrac{\partial\left(e^{-x}y+\frac1{x^2}\right)}{\partial y} = e^{-x} \\\\ \dfrac{\partial\left(-e^{-x}\right)}{\partial x} = e^{-x}[/tex]

So we look for a solution of the form F(x, y) = C. This solution is such that

[tex]\dfrac{\partial F}{\partial x} = e^{-x}y + \dfrac1{x^2} \\\\ \dfrac{\partial F}{\partial y} = e^{-x}[/tex]

Integrate both sides of the first condition with respect to x :

[tex]F(x,y) = -e^{-x}y - \dfrac1x + g(y)[/tex]

Differentiate both sides of this with respect to y :

[tex]\dfrac{\partial F}{\partial y} = -e^{-x}+\dfrac{\mathrm dg}{\mathrm dy} = e^{-x} \\\\ \implies \dfrac{\mathrm dg}{\mathrm dy} = 0 \implies g(y) = C[/tex]

Then the general solution to the DE is

[tex]F(x,y) = \boxed{-e^{-x}y-\dfrac1x = C}[/tex]

Answer:

D

Step-by-step explanation:

I think its D because you multiple the number that is out of the the bracket with the numerators..

so its

a^4/b^12

Answer:

{(6, -6), (-9,2), (6, -1), (-8, -9)}

Answer:

Step-by-step explanation:

Given:

We can see that:

Since 2² and 5² are perfect squares we get:

[tex]\\ \sf\longmapsto \sqrt{8}+\sqrt{50}[/tex]

[tex]\\ \sf\longmapsto \sqrt{2(2)(2)}+\sqrt{2(5)(5)}[/tex]

[tex]\\ \sf\longmapsto 2\sqrt{2}+5\sqrt{2}[/tex]

[tex]\\ \sf\longmapsto (2+5)\sqrt{2}[/tex]

[tex]\\ \sf\longmapsto 7\sqrt{2}[/tex]

Answer:

a function of x, the number of miles driven in a year.

Step-by-step explanation:

The slope of the line represents the cost of the maintenance and the cost of the fuel. Then the correct option is D.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

In addition to fuel and maintenance, Rachel pays $1,000 a year for insurance. The equation will be

C = (0.05 + 0.14)x + 1000

C = 0.19x + 1000

Then the slope of the line will be

Slope = 0.19

The slope of the line represents the cost of the maintenance and the cost of the fuel.

More about the linear system link is given below.

https://brainly.com/question/20379472

Answer:

Step-by-step explanation:

4(x-3) =16

4x- 12=16

4x=28

8x=56

Answer:

8x = 56

Step-by-step explanation:

Solve for x by isolating it.

Divide both sides by 4

(x-3) = 4

Add 3 to both sides

x = 7

Now plug 7 in for x

8(7) = 56

Answer:

158.733 that's the answer

9514 1404 393

Answer:

  about 159 pounds

Step-by-step explanation:

The exact conversion factor from kilograms to pounds is ...

  1 lb = 0.45359237 kg

So, to find the number of pounds, you multiply:

  [tex]72\text{ kg}\times\dfrac{1\text{ lb}}{0.45359237\text{ kg}}\approx\boxed{158.7328\text{ lb}}[/tex]

The conversion is often approximated by 1 kg = 2.2 lb, which gives an answer that is about 0.21% low.

Step-by-step explanation:

everything can be found in the picture

Answer:

It is 1. A(n) =3(3^n-1)

Step-by-step explanation:

It is a geometric progression

General recursive formular:

[tex]a_{n} = a( {r}^{n-1} )[/tex]

a » first term, a = 3

r » common difference, r = 9 ÷ 3 = 3

n » number of terms

[tex]A(n) = 3( {3}^{n-1} )[/tex]

______________end_____________________

further more:

[tex]A(n) = {3}^{(n)} [/tex]

[tex]\\ \rm\Rrightarrow Perimeter=2(L+B)[/tex]

[tex]\\ \rm\Rrightarrow Perimeter=2(2\sqrt{6}+\sqrt{6})[/tex]

[tex]\\ \rm\Rrightarrow Perimeter=2(3\sqrt{6})[/tex]

[tex]\\ \rm\Rrightarrow Perimeter=6\sqrt{6}[/tex]

The perimeter of the rectangle will be 6√6 units.

Let W be the rectangle's width and L its length. The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be given as,

Perimeter of the rectangle = 2(L + W) units

A rectangle has a length of 2√6 and a width of √6. Then the perimeter of the rectangle is given as,

P = 2 (2√6 + √6)

Simplify the equation, then we have

P = 2 (2√6 + √6)

P = 2 (3√6)

P = 6√6 units

The perimeter of the rectangle will be 6√6 units.

More about the perimeter of the rectangle link is given below.

https://brainly.com/question/15287805

#SPJ6

Answer:

1

Step-by-step explanation:

The GCF of 24 and 97 can be obtained like this:

Answer:

-5/9

Step-by-step explanation:

The exact point at which the lines cuts the axis are unclear so I used the closest round number to substitute into the gradient formula. From the answer I noticed two things

Firstly it was a negative gradient...therefore the second and the fourth option wouldn't work

Secondly (if I were to ignore the operation) the number is less than 1 which would mean that it couldnt be an improper fraction where the numerator is greater than the denominator.

If you take what you notice about both the operation and the size of the number you would find that -5/9 fits the criteria the best and is therefore the answer to your question.

[tex] \frac{y2 - y1}{x2 - x1} \\ = \frac{0 - ( - 1)}{ - 2 - 0} \\ = - \frac{1}{2} [/tex]

Answer:

D

Step-by-step explanation:

|x+1|>2

-2>x+1>2

-3>x>1

Option D is correct that is the solution of the inequality |x+1|>2 is  x<-3 or x<1.

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Solution of an inequality is a value that makes the inequality true.

According to the given question

We have an inequality |x + 1|>2.

The solution set of the above inequality is given by

[tex]|x + 1| > 2[/tex]

⇒ [tex]-2 > x+1 > 2[/tex]

⇒ [tex]-2-1 > x > 2-1[/tex]

⇒ [tex]-3 > x > 1[/tex]

⇒ [tex]x < -3[/tex] or [tex]x < 1[/tex]

Hence, option D is correct that is the solution of the inequality |x+1|>2 is  x<-3 or x<1.

Learn more about inequality here:

https://brainly.com/question/20383699

#SPJ2

Answer:

malai thaxaina