A flag pole 18 feet tall casts a shadow 12 feet long at a specific time of day. Find, to the nearest degree, the angle of elevation of the sun at this time of day.

Answer:

The slope-intercept form of the equation of the line is:

y = 2/3x + 2

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

Given the points

(x₁, y₁) = (0, 2)

(x₂, y₂) = (3, 4)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [4 - 2] / [3 - 0]

               = 2 / 3

Thus, the slope of the line = m = 2/3

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 2

Thus, the y-intercept b = 2

now substituting m = 2/3 and b = 2 in the slope-intercept form

y = mx+b

y = 2/3x + 2

Therefore, the slope-intercept form of the equation of the line is:

y = 2/3x + 2

Answer:

it's c

Step-by-step explanation:

there are 8 bears and 6 monkeys!

hope this helps:)

Answer:

in the thousands place

Step-by-step explanation:

Answer:

Hundreds

Step-by-step explanation:

This is how we can represent it:

*The symbol 'x' represents the numbers that we don't know.

7xx.7

The first 'x' has a place value of ones.

The second 'x' has a place value of tens.

And the second number (7) has a place value of hundreds.

Answer:

Step-by-step explanation:

As per attached graph, there is proportional relationship with the formula:

We can easily find it using points (0, 0) and (2, 250)

The situation would be:

Team of volunteers help to pack meals for charity. They can pack 125 meals in an hour. How many meals would be packed in 20 hours?

Answer:

ye^(2x) - 3e^(2x) = C or (y - 3)e^(2x) = C

Step-by-step explanation:

dy/dx + 2y = 6

This is a first order linear ODE.

p(x) = 2

Integrating factor: I(x) = e^(∫ 2 dx) = e^(2x)

e^(2x)(dy/dx + 2y) = 6e^(2x)

e^(2x) dy + 2ye^(2x) dx = 6e^(2x) dx

Integrate both sides of the equation.

ye^(2x) = 3e^(2x) + C

Thus, the general solution is ye^(2x) - 3e^(2x) = C or (y - 3)e^(2x) = C.

Answer:

A = ((a+b)/2)h

Step-by-step explanation:

a and b are base (the top and bottom)

h is height

Answer:

16.66months

Step-by-step explanation:

2500/150

Answer:

34489

Step-by-step explanation:

Answer:

1/9

Step-by-step explanation:

3 out comes

green black purple spin twice

3*3=9 total outcome

1/9

Answer:

x=6

Step-by-step explanation:

7x-9=3x+15

4x-9=15

4x=24

x=6

Answer:

x=6

Step-by-step explanation:

7−9=3+15

7−9+9=3+15+9

7−3=3+24−3

4=24

x=6

Answer: (-5,-3)

Step-by-step explanation:

Answer:

X-axis:   (5, -3)

Y-axis:   (-5, 3)

Step-by-step explanation:

Answer:

0.456 is less than 0.5

Step-by-step explanation:

Answer: A. Side a is 26 inches long, side b is 20 inches long, and side c is 10.

Step-by-step explanation:

Scale factor for drawing = 2:1

Dimensions of drawing :  10 in, 5 in, 13 in

Dimension of object = Scale factor x Dimension of drawing

Sides of object:

2 x 10 in =20 in   [b]

2 x 5 in = 10 in  [c]

2 x 13 in = 26 in.  [a]

Hence, the correct option is

A. Side a is 26 inches long, side b is 20 inches long, and side c is 10.

Answer:

Side a is 2.5 inches long, side b is 5 inches long and side c is 6.5 inches long.

Step-by-step explanation:

Answer:

21. 2

Step-by-step explanation:

Answer:

21.222222222222222

Step-by-step explanation:

Answer:

false_(a) 3 € {2,4,6,8} false_(b) 0 € false (c) {1} € {1, 2, 3} true_(d) {2} S {1, 2, 3} true (e) {1, 3, 5, 7, 9) = {1, 5, 9, 3, 7) false_(f) {1,3,5, 9) = {1,3,5,9} true_ () Ø Ç {1,3

Step-by-step explanation:

i don't know about this is this it ?

Answer:

31.8

Step-by-step explanation:

90-58.2=31.8

because the square in the middle means 90 degrees!

Answer:

<DEF= 31.8°

Step-by-step explanation:

Angle DEF is apart of a right angle which is 90°. The other angle, 58.2° is given and that plus DEF would equal 90°.

In an equation:  

< DEF +58.2=90

-58.2            -58.2

----------------------------

<DEF= 31.8°

Answer:

y=2(x+6)^2 -59

Step-by-step explanation:

Answer:

Gavin is incorrect,

divide 4

multiply 1/4

each get 1/12

Step-by-step explanation:

Answer:

5x+1

Step-by-step explanation:

(4x+2)+(x-1)=

Combine like terms

4x+x   +2 -1

5x+1

Answer:

B) 0.5p + 6 = 8.50

Step-by-step explanation:

If bananas cost $0.50 per pound, you would have to multiply that by how many pounds Meyer bought, or p. When you found how many bananas Meyer bought, you would have to add the money for the frozen pizza ($6) That will give you a total of $8.50.

Answer:

5 pounds

Step-by-step explanation:

First, we need to find the value of 0.5p so our equation is:

8.5 - 6 = 2.5

Then we need to find the value of p in that 2.5, so our equation is:

2.5 ÷ 0.5 = 5

So Meyer bought 5 pounds of bananas

Answer:

you need to work on your capitalization.

Step-by-step explanation:

no offense.

Answer:

See Step by step explanation

Step-by-step explanation:

Objective Function:  z

x =  number of contemporary style

y = number of farmhouse style

Costs

Carpentry costs:

15*2*x  +  15*2,5*y    =  30*x  +  37,5*y

Painting costs

12*1,5*x  +  12*1*y      =  18*x  +  12*y

Finishing costs

18*1,3*x  +  18*1,2*y    = 23,4*x  + 21,6*y

Total costs:

30*x  + 37,5*y + 18*x  + 12*y  + 23,4*x  + 21,6*y

71,4*x  +  71,1*y

z  =  90*x  +  85*y - ( 71,4*x  +  71,1*y )   to maximize

z  = 18,6*x  +  13,9*y  to maximize

Subject to:

First constraint:

Hours available in carpentry    3000

2*x  +  2,5*y ≤  3000

Second constraint

Hours available in painting  1500

1,5*x  +  1*y  ≤   1500

Third constraint

Hours available in finishing  1500

1,3*x  +  1,2*y  ≤ 1500

Fourth constraint

Minimum quantity of contemporary style  500

x ≥  500

Fifth constraint

Minimum quantity of farmhouse style   650

y  ≥  650

General constraints:

x  ≥  0     y  ≥  0   x , y  integers

Model:

z   =   90*x  +  85*y - ( 71,4*x  +  71,1*y )   to maximize

Subject to:

2*x  +  2,5*y ≤  3000

1,5*x  +  1*y  ≤   1500

1,3*x  +  1,2*y  ≤ 1500

x ≥  500

y  ≥  650

x  ≥  0     y  ≥  0   x , y  integers

The mathematical expression for each of the constraints on the three processes.

Model z  =   90*x  +  85*y - ( 71,4*x  +  71,1*y )  

Subject to

2*x  +  2,5*y ≤  3000

1,5*x  +  1*y  ≤   1500

1,3*x  +  1,2*y  ≤ 1500

x ≥  500

y  ≥  650

x  ≥  0    y  ≥  0   x , y  integers.

We, wants to maximize the total weekly profit.

a constraint is a condition of an optimization problem that the solution must satisfy.

Objective function:  z

x =  number of contemporary style

y = number of farmhouse style

We have to find the cost

The carpentry costs is,

15*2*x  +  15*2,5*y    = 30*x  +  37,5*y

The painting costs is

12*1,5*x  +  12*1*y      =  18*x  +  12*y

The finishing costs is

18*1,3*x  +  18*1,2*y    = 23,4*x  + 21,6*y

Therefore the total costs is,

30*x  + 37,5*y + 18*x  + 12*y  + 23,4*x  + 21,6*y

71,4*x  +  71,1*y

z  =  90*x  +  85*y - ( 71,4*x  +  71,1*y )   to maximize

z  = 18,6*x  +  13,9*y  to maximize

Subject to the constraint;

The first constraint is,

The hours available in carpentry   3000

2*x  +  2,5*y ≤  3000

The second constraint is,

Hours available in painting  1500 so,

1,5*x  +  1*y  ≤   1500

The third constraint is,

Hours available in finishing  1500 so,

1,3*x  +  1,2*y  ≤ 1500

Fourth constraint is,

The minimum quantity of contemporary style  500 so,

x ≥  500

The fifth constraint is

The minimum quantity of farmhouse style   650 so,

y  ≥  650

The general constraints are,

x  ≥  0     y  ≥  0   x , y integers,

Therefore the Model z  =   90*x  +  85*y - ( 71,4*x  +  71,1*y )   to maximize,

Subject to

2*x  +  2,5*y ≤  3000

1,5*x  +  1*y  ≤   1500

1,3*x  +  1,2*y  ≤ 1500

x ≥  500

y  ≥  650

x  ≥  0    y  ≥  0   x , y  integers,

To learn more about the constraint visit:

https://brainly.com/question/6073946

Answer:

The probability that the candidate score is 600 or greater

P(X≥ 600 ) = 0.0228

Step-by-step explanation:

Step(i):-

Given mean of the Population = 500

Given standard deviation of the Population = 50

Let 'X' be the random variable in normal distribution

Given  X = 600

[tex]Z = \frac{x-mean}{S.D} = \frac{600-500}{50} = \frac{100}{50} =2[/tex]

Step(ii):-

The probability that the candidate score is 600 or greater

P(X≥ 600 ) = P(z≥2)

                  = 0.5 - A(2)

                 = 0.5 -0.4772

                = 0.0228

Final answer:-

The probability that the candidate score is 600 or greater

P(X≥ 600 ) = 0.0228

Answer:

the older sister is 27 and the younger is 25.

Step-by-step explanation:

C+2=Y

C+Y=52

2C+2=52

2C=50

C=25

25+2=Y

Y=27

Answer:

Equivalent expression using n to represent the unknown number is: [tex]\mathbf{(\frac{56}{n})\times 3\\}[/tex]

Step-by-step explanation:

The quotient of 56 and n is multiplied by 3.

Create an equivalent expression using n to represent the unknown number.

We need to write equivalent expression of The quotient of 56 and n is multiplied by 3.

We will do this step by step

First we will find:

The quotient of 56 and n

It can be written in mathematical form is: [tex]\frac{56}{n}\\[/tex]

Now, we will find

The quotient of 56 and n is multiplied by 3.

It can be written in mathematical form as: [tex](\frac{56}{n})\times 3\\[/tex]

So, equivalent expression using n to represent the unknown number is: [tex]\mathbf{(\frac{56}{n})\times 3\\}[/tex]

Answer:

(2, 5)

Step-by-step explanation: