Identify the domain, range, and codomain in each graph. Then use the codomain and range to determine whether the
function is onto.

Answer:

∠ BOF = 32°

Step-by-step explanation:

Since AB is a straight line, then

∠ AOE + ∠ EOD + ∠ DOE = 180° , substitute values

90 + x + 8 + 2x - 8 = 180 , that is

3x + 90 = 180 ( subtract 90 from both sides )

3x = 90 ( divide both sides by 3 )

x = 30

Thus

∠ DOB = 2x - 8 = 2(30) - 8 = 60 - 8 = 52°

∠ COF = 4x - 24 = 4(30) - 24 = 120 - 24 = 96°

∠ AOC = ∠ DOB ( vertical angles ), thus

y = 52, then

∠ BOF = 180° - (96 + 52)° = 180° - 148° = 32° ( angles on a straight line )

Answer:

28 ft

Step-by-step explanation:

The height of the triangle = 15 ft

The least required area A = 210 ft^2

We know that the area of a triangle = 1/2bh

Where

b is the base

h is the height

Substituting, we have

210 = 1/2 x b x 15

210 = 15/2 x b

420/15 = b

b = 28 ft

Explicación paso a paso:

El tiempo necesario para completar la trayectoria se conoce como tiempo de vuelo.

Tiempo de vuelo = dónde;

U es la velocidad inicial del cuerpo = 47,5 m / s

es el ángulo de lanzamiento = 39,4 °

g es la aceleración debida a la gravedad = 9,81 m / s²

Sustituyendo los parámetros dados en la fórmula anterior, tendremos;

[tex]T = \dfrac{2(47.5)sin39.4^0}{9.81} \\\\T = \dfrac{95sin39.4^0}{9.81} \\\\T = \dfrac{95*0.6347}{9.81} \\\\T = \dfrac{60.2994}{9.81} \\\\T =6.1467 secs[/tex]

El tiempo necesario para completar la trayectoria es de 6.1467 segundos.

Answer:

pre-image coordinates (x,y) imagine coordinates (y,x)

Step-by-step explanation:

bascially just switch the x and y coordinates and keep the sign :)

Answer:

Find the exact value using trigonometric identities.

Exact Form: 1/16

Decimal Form:

0.0625

Step-by-step explanation:

Step-by-step explanation:

In an equilateral triangle, all the three sides are equal as well as all the angles are equal. Let the angles be x.

We know that the sum of angles of a triangle is equal to 180 degrees. It means that,

x+x+x=180

3x=180

x=60°

Hence, if a triangle is an equilateral triangle, then the triangle has exactly three 60°  angles. Hence, △ABC is an equilateral triangle

Answer:

See Below

Step-by-step explanation:

4) t = n -r  Solve for n

Add r to both sides

t = n -r

+r     +r

t +r = n

Or  n = t+r

7) [tex]\frac{f}{g}[/tex] = h    Solve for f

Multiply both sides by g to get rid of fraction

g/1 (f/g) = h(g)

f = hg

Answer:20

Step-by-step explanation:

You take 203 and subtract 3 since you know you have 3 pieces left over you then divide 209 by 10 and get 20!!

Answer:

20 people

Step-by-step explanation:

Did it in my head

Answer:

6 months

Step-by-step explanation:

Answer:

3x-2

Step-by-step explanation:

The algebraic expression is 3x -2.

Algebraic expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

We have to determine an algebraic expression for "2 less than the product of 3 and a number x"

Here, the product of 3 and a number x

⇒ 3x

Therefore, 2 is less than the product of 3, and a number x as

⇒ 3x -2

Hence, the algebraic expression is 3x -2.

Learn more about an algebraic expression here:

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First, let's find the slope.

Slope = (7 - (-3)) / (2 - 0) = (7 + 3) / 2 = 10 / 2 = 5

So far our equation looks like: y = 5x + b

Leta plug one of the points into our equation to find b.

-3 = 5(0) + b

Simplify.

-3 = b

The equation is: y = 5x - 3

Answer choice B is correct.

Answer:

13,200

Step-by-step explanation:

6000/100=60

60x8=480

480x15=7,200

6,000+7,200=13,200

If the initial amount is $6000 , rate of interest 8% then after 15 years the amount willbe $19957.218.

Compound interest is the interest calculated on the principal and the aggregate interest. It may be copounded annually,semi annually, monthly, bimonthly,etc.

We have been given that the deposit is $6000,rate is 8% which is compounded monthly.

So effective rate of interest will be 8/1200=0.0067.

n will be 15*12=180

The sum after 15 years=6000[tex](1+0.0067)^{180}[/tex]

S=6000[tex](1+0.0067)^{180}[/tex]

Take log both sides.

log S=log 6000[tex](1+0.0067)^{180}[/tex]

log S=log 6000+log [tex](1+0.0067)^{180}[/tex]

log S=log 6000+180 log (1.0067)

log S=3.7781+180*0.0029

log S=3.7781+0.522

log S=4.3001

S=AL (4.3001)

S=19957.218

Hence if the initial amount is $6000 , rate of interest 8% then after 15 years the amount willbe $19957.218.

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Answer:

42

Step-by-step explanation:

D-42 on EDG.

A clock is constructed using a regular polygon with 60 sides. The polygon rotates each minute, making one full revolution each hour. The polygon has rotated 42 times after 7 minutes.

A polygon is known to be a plane figure with at least three equal sides and angles.

From the given information,

To estimate the revolution completed in 1 minute, we have:

[tex]\mathbf{= \dfrac{360 \ ^ 0}{60 \ ^ 0} }[/tex]

= 6° per minute

Now, to determine how much the polygon has rotated after 7 minutes, we have:

= (6° / minute) × 7 minutes

= 42°

Therefore, we can conclude that the polygon has rotated 42° in 7 minutes,

Learn more about polygon here:

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Answer:

Solve for x or y,  Ax + By = 0

x=1  y=unknown number.

Step-by-step explanation:

Answer:

length =16

Step-by-step explanation:

area= breadth*length

length = 2 breadth    --equation 1        

(the length of the rectangle is twice the breadth)

128m^2= breadth*2 breadth

128m^2= 2 breadth^2

breadth^2= 128/2m^2

breadth^2=64m^2

taking square root on both sides

[tex]\sqrt{breadth^2}[/tex]=[tex]\sqrt{64m^2}[/tex]

[tex]\sqrt{breadth^2}[/tex]=[tex]\sqrt{(8m)^2}[/tex]

breadth= 8m   (cancelling square root with power 2

put breadth in equation 1

length= 2*8

length= 16

CHECK:

area of rectangle = breadth * length

area= 8*16

area=128

Steps to solve:

(4 + 5 + 3) + 8

~Add everything in parenthesis

12 + 8

~Add

20

Best of Luck!

[tex] \huge \purple {\tt {(4 + 5 + 3) + 8 =? }} [/tex]

By using parenthesis, we get

[tex] \huge \purple {\tt {12 + 8 = 20}} [/tex]

[tex] \huge \purple {\tt {20}} [/tex]

Answer:

4

Step-by-step explanation:

d=2

[tex] \sqrt{ - 6 + 11(2)} [/tex]

-6+22

16 square rooted

4

Answer:

Option (A)

Step-by-step explanation:

Let the equation of the linear function representing number of party guests (c) and total cost (p) is in the form of c = mp + b

m = Slope of the line

b = y-intercept

Choose the two ordered pairs from the table (3, 274) and (7, 306).

Slope of the function 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m = [tex]\frac{306-274}{7-3}[/tex]

m = 8

Since, equation of a line passing through (x', y') and slope m is,

y - y' = m(x - x')

Therefore, equation of a line passing through (3, 274) and slope = 8,

y - 274 = 8(x - 3)

y - 274 = 8x - 24

y = 8x + 274 - 24

y = 8x + 250

Since, y = p and x = c

Therefore, p = 8c + 250 will be the equation.

Option (A) is the answer.

Answer:ok

Step-by-step explanation: the answer is A

Answer:

$2.33

Step-by-step explanation:

To find how much strawberries cost per pint, we would divide the seven dollars by 3 which will tell us how much each pint costs. Hope this helps, have a great day!

Answer:

the answer should be 0.96

Answer:

1/10

Step-by-step explanation:

7000/70000=1/10

Answer:

60 square unit

Step-by-step explanation:

side = √225.2 = 15

perimeter = side x 4

perimeter = 15 x 4 = 60 square unit

Answer:

f^-1(x)-(x/10)-(1/5).

Hope this helps!

Step-by-step explanation:

(See picture for explanation!)

Answer:

Earning on one shift = 4**5.25= 21

to earn 220 she had to do 220/21= 10.48 shifts

Answer:

Answer: x=1

Step-by-step explanation:

5x-4+2x=3

    +4       +4

5x+2x=7

7x=7

x=1

Answer:

x=1

Step-by-step explanation:

5x - 4 +2x =3

5x +2x =3 +4

7x =7

x=7 :7

x=1