The fire department reports that 2 out of every 25 fireworks are faulty.if a large fireworks show uses 500 fireworks, how many should they expect to be faulty

Answer:

b

Step-by-step explanation:

there's 2 open point lying on x equals 0

Answer:

x² + y² - 8x -14y - 105 = 0

Step-by-step explanation:

The centre of the circle is (-7,0) and the radius is (4,7) . Firstly let's find the radius using Distance formula .

=> D = √{ (-7-4)²+(0-7)²}

=> D = √ 11² + 7²

=> D = √ 121 +49

=> D = √170

Now using the standard equation of circle ⭕ ,

=> ( x - h)²+(y-k)² = r²

=> ( x - 4)²+(y-7)²= (√170)²

=> x² + 16 -8x + y² + 49 -14y = 170

=> x² + y² -8x -14y = 170 -65

=> x² + y² - 8x -14y - 105 = 0

Step-by-step explanation:

[tex]\huge\mathcal\pink{here \: is \: your \: solution..} \\ \\ equation = > y = - 8x - 49 \\ \\ = > y = - x \\ \\ put \: the \: value \: of \: y \: in \: equation \\ \\ - x = - 8x - 49 \\ \\ - x + 8x = 49 \\ \\ 7x = 49 \\ \\ x = 49 \div 7 \\ \\ x = 7 \\ \\ now \: \: \: y = - 7 \\ \\ \huge\mathfrak\green{hope \: it \: helps.} \\[/tex]

Answer:

4 l

the total ml of milk for 20 people is 4000ml and not 400 ml. 4000ml converted to litres is 4l

Step-by-step explanation:

total amount of milk for 20 people = 200 x 20 = 4000ml

1000 ml = 1 liter

4000ml /1000 = 4 l

Answer:

35

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

Identify

19 + 4n

n = 4

Step 2: Evaluate

Answer:

Y = 15x + 30 and 8 hours

Step-by-step explanation:

She gets $15 per hour so her income is based on her hours, but we don't know what that is yet so, 15x.

She gets a solid $30 every week that is straight forward

To solve the function

150 = 15x + 30

subtract 30 from both sides

120 = 15x

divide 15 from both sides

8 = x

or

x = 8

You got this :)

Answer:

4.77

Step-by-step explanation:

because Circumference can be found with this equation

C = 2piR

we need to plug in 15 for Circumference and solve for its radius or R.

15 = 2piR

15/2pi = R

but we need diameter which is 2R so we just need to multiply the answer by 2.

15/2pi × 2 = Diameter

15/pi = D

approximately = 4.77

Answer:

Solution given:

radius [r]=2cm

height [h]=8cm

total surface area of cylinder=?

we have

total surface area of cylinder=2πr²+2πrh

total surface area of cylinder40π or 125.66cm².

Find the surface area of the cylinder.

Substituting the values given in the formula, We get,

⇒ Area of Cylinder = 2 × 3.14 × 2 ( 2 + 8 )

⇒ Area of cylinder = 2 × 3.14 × 2 ( 10 )

⇒ Area of cylinder = 2 × 3.14 × 20

Calculating further, We get,

⇒ Area of cylinder = 125.66 cm²

Which of the following statements regarding low interest rates is true? a. They encourage investors to search for investments like Treasury bills. b. They encourage the substitution of equity by debt. They encourage investors to search for stocks paying high dividends. d.

Answer:

{aUb}' = {4, 12, 16}

Step-by-step explanation:

GIven S= { 2,2,4,6,8,8,8,10,10,12,14,16,16,16,16,18,18,20}

a= { 2,6,8,8,10,18}

b = { 2,8,10,14,18,20}

Required

(aUb)'

aUb = {2, 6, 8, 10, 14, 18, 20}

{aUb}' are values of the set S that are not in aUb. The required values are;

{aUb}' = {4, 12, 16}

Answer:24

Step-by-step explanation:6 x 8 = 48 divied by 2 = 24

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex] \frac{6(12 - 4)}{2} \\ = \frac{6(8)}{2} \\ = \frac{48}{2} \\ = 24[/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Answer:

44.1

Step-by-step explanation:

Cosine = Adjacent over Hypotenuse

Adjacent of ∠T = 28 and hypotenuse = 39

Which means that  [tex]cos(x)=\frac{28}{39}[/tex]

Now we solve for x

To get rid of the "cos" we take the inverse of cos ( which is [tex]cos^-^1[/tex] ) and apply it to each side

[tex]cos^-^1((cos)x) = x\\cos^-^1(\frac{28}{39} )=44.11461855[/tex]

We're left with x = 44.11461855

Our last step is to round to the nearest tenth and we get that the answer is 44.1

Answer:

a. 3/10

b. 25 people

Step-by-step explanation:

a. 12/40

simplify

3/10

b. 40 people so multiply everything by 5

5 x 5 =25 people

Answer:

a) 30%   & b) 25

Step-by-step explanation:

16+7+5+12 = 40

a) 12/40 = 0.3 = 3%

b) 5/40 = .125

    200 x .125 = 25

Answer:

z²¹ is the correct answer dude

Answer:

z²¹ would be your answer. hope this helped!!!!

Step-by-step explanation:

Answer:

[tex] \displaystyle 53.6ft[/tex]

Step-by-step explanation:

refer the attachment

let the height be h

since we are given the adjacent side and want to figure out opposite side we'll use tan function

so our equation is

[tex] \displaystyle \tan( {15}^{ \circ} ) = \frac{h}{200} [/tex]

cross multiplication:

[tex] \displaystyle h = 200\tan( {15}^{ \circ} ) [/tex]

by using calculator we acquire:

[tex] \displaystyle h \approx 53.6ft[/tex]

hence,

about 53.6ft high in the tree ate monkeys

Answer:

8 cm wide.

Step-by-step explanation:

5440/34/20=8 .

Answer:

g(x) = 3*sin((-15/4)*pi*x + (-15/4)*pi) + 6

Step-by-step explanation:

The function has the form:

g(x) = a*sin(b*x + c) + d

We know that:

The midline is at (-1, 6)

The midline is the value of g(x) when the sin(x) part is equal to zero

Then the midline is y = 6 = d

g(x) = a*sin(b*x + c) + 6

And from this we also know that:

sin(b*-1 + c) = 0,

We also know that the minimum is at (-3.5, 3)

The minimum is the y-value when the sin(x) part is equal to -1

Then

sin(b*-3.5 + c) = -1

And:

g(-3.5) = 3 = a*(-1) + 6

3 = -a + 6

a = -3 + 6 = 3

The equation is something like:

g(x) = 3*sin(b*x + c) + 6

To find the values of b and c, we need to use the two remaining equations:

sin(b*-3.5 + c) = -1

sin(b*-1 + c) = 0

We also know that:

Sin(0 ) = 0

sin( (3/2)*pi) = -1

where pi = 3.14

Then we can just write:

b*-1 + c = 0

b*-3.5 + c = (3/2)*pi

From the first one, we get:

-b + c = 0

c = b

Replacing that on the other equation we get:

c*-3.5 + c = (3/2)*pi

c*(-3.5 + 1) = (3/2)*pi

c*(-2.5) = (3/2)*pi

c = (3/2)*pi/(-2.5)

and:

-2.5 = -5/2

c = (3/2)*(-5/2)*pi = (-15/4)*pi

Then the equation becomes:

g(x) = 3*sin((-15/4)*pi*x + (-15/4)*pi) + 6

The  trigonometric function equation becomes [tex]g(x)=3 sin(-1.88x-1.88)+6[/tex]

The function has the form:

             [tex]g(x)=a sin(bx+c)+d[/tex]

The midline is at (-1, 6)

So, the midline is y = 6 = d

[tex]g(x)=a sin(bx+c)+6[/tex]

We know that the midline is the value of g(x) when the sin(x) part is equal to zero

Given that The function intersects its midline at (-1,6) and has a minimum point at (-3.5,3).

[tex]sin(-1*b + c) = 0,[/tex]

The minimum is the y-value when the sin(x) part is equal to -1

       [tex]sin(-3.5*b + c) = -1[/tex]

  Since,   [tex]g(-3.5) = 3 = a*(-1) + 6[/tex]

                 [tex]a = -3 + 6 = 3[/tex]

Now equation become,

            [tex]g(x) = 3*sin(b*x + c) + 6[/tex]

To find the values of b and c, we need to use the two remaining equations:

             [tex]sin(-3.5b + c) = -1=sin( (3/2)* \pi)\\\\ -3.5b + c = (3/2)* \pi[/tex]

            [tex]sin(-1b + c) = 0=sin(0)\\\\-b+c=0\\\\b=c[/tex]

Substituting b = c in above equation and [tex]\pi=3.14[/tex]

We get,

            [tex]-3.5c + c = (3/2)*\pi\\\\-2.5c=4.71\\\\c=-1.88[/tex]

also    [tex]b=-1.88[/tex]

Therefore, equation becomes [tex]g(x)=3 sin(-1.88x-1.88)+6[/tex]

Learn more:

https://brainly.com/question/13729598

Answer:

$223.21

Step-by-step explanation:

Last year the amount of taxes was x, an unknown amount. That was 100% of last year's tax cost.

This year, taxes went up by 12%, so this year the taxes are 112% of what they were last year. This year the taxes were 112% of x, and they were $250.

112% of x = 250

1.12x = 250

x = 250/1.12

x = 223.21

Answer: $223.21

Answer: 36

Step-by-step explanation: Keep multiplying 15 until you get 540. 36 * 15 is 540

Answer:

36 Crew members

Step-by-step explanation:

Divide 540 by 15, to find how much the new amount of passengers had increased. It should be 36.

Now to keep the ration even, you need to multiply the amount of Crew members by 36 too.

1/15=0.06666666667...

36/540=0.06666666667...

There's probably other ways to solve this, this is just how I did it.

Answer:

The lines intersect at a right angle

Step-by-step explanation:

Answer:

242

Step-by-step explanation:

Circles have a total of 360°

mDBG does not include mBA or mGA

This means that mDBG = 360 - ( mBA + mGA )

mBA = 28° ( this is given )

mGA = 90° ( this is also given; it's indicated by the right angle )

Thus, mDBG = 360 - ( 28 + 90 )

28 + 90 = 118

mDBG = 360 - 118

360 - 118 = 242

Hence, mDBG = 242

Answer:

yeah this easy [tex]a^{2} +b^{2} =c^{2} \\leg leg hypotnuse[/tex]

a is a leg

b is a leh

c is a hypotnuse

Step-by-step explanation:

Answer:

12.5 is your answer buddy

Answer:

Step-by-step explanation:

So, lets think of this a simpler way.

What is 1/2 of 50?

Well, thats 25. That is 50%. We want 25%, which is 1/4 of 50.

So lets divide the 25 we got in half:

25/2

=

12.5

So this is your answer!

Hope this helps!

Answer:

4th option

Step-by-step explanation:

The factors of a³ + b³ are

a³ + b³ = (a + b)(a² - ab + b² )

Answer:

4th option

Step-by-step explanation:

Answer:

f(x) = -2x+6

Step-by-step explanation:

Given the equation 10x+5y=30, in order to write as a function form, we need to make y the subject of the formula from the given function as shown;

10x+5y=30

Subtract 10x from both sides

10x+5y - 10x= - 10x+30

5y = -10x + 30

Divide through by 5

5y/5 = -10x/5 + 30/5

y = -2x + 6

Hence the required equation in function form is f(x) = -2x+6

Answer:

(x - 8)² + (y - 10)² = 36

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Pre-Calculus

Circle Center Formula: (x - h)² + (y - k)² = r²

Step-by-step explanation:

Step 1: Define

Identify

(h, k) = (8, 10)

r = 6

Step 2: Find Equation