Select the correct answer.
Henry wants to get a job this summer. He can either mow lawns or work in the local library. What is the opportunity cost if he decides to mow lawns?
A.
the librarian employing another person
B.
the chance to earn by working in a library
C.
the chance to earn by mowing lawns

Answer:

y = (3/5)x+26/5 or 5y = 3x+26

Step-by-step explanation:

Applying,

The equation of a line in two point form

(y₂-y₁)/(x₂-x₁) = (y-y₁)/(x-x₁)............... Equation 1

From the question,

Given: y₂ = 7, y₁ = 4, x₂ = 3, x₁ = -2

Substitute these values into equation 1

(7-4)/[3-(-2)] = (y-4)/(x+2)

3/5 = (y-4)/(x+2)

5(y-4) = 3(x+2)

5y-20 = 3x+6

5y = 3x+6+20

5y = 3x+26

y = (3/5)x+26/5

Hence the equation of the line is y = (3/5)x+26/5 or 5y = 3x+26

Answer:

If [tex]r = 1.006[/tex], then it means that dependent variables increases by a factor of 1.006 per decade.

Step-by-step explanation:

Mathematically speaking, the function represents an exponential equation, whose form is:

[tex]f(t) = a_{o}\cdot r^{k\cdot t}[/tex] (1)

Where:

[tex]t[/tex] - Independent variable.

[tex]r(t)[/tex] - Dependent variable.

[tex]a_{o}[/tex] - Initial value.

[tex]k[/tex] - Convergence ratio.

[tex]r[/tex] - Increase rate.

If [tex]r = 1.006[/tex], then it means that dependent variables increases by a factor of 1.006 per decade.

Answer:

I'm in 9th grade but i think i can help.

Step-by-step explanation:

Answer:

[tex]f(x)^{-1}=\frac{x-1}{2}[/tex]

Step-by-step explanation:

start by replacing f(x) for y:

y = 2x + 1

switch y and x:

x = 2y+1

solve for x by first subtracting 1 from both sides:

2y = x-1

divide 2 from both sides:

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

replace y with [tex]f(x)^{-1}[/tex]:

[tex]f(x)^{-1}=\frac{x-1}{2}[/tex]

Answer:

20

Step-by-step explanation:

f(x) = 30

30 = 1.8x -5.4

35.4 = 1.8x

x = 35.4/1.8

x = 19.666

volume = 148 × 5.5 cube

= 24623.5 cubic cm

Answer:

Correct option is A

Step-by-step explanation:

According to given question,

[tex]sin 45^{0} =\frac{5\sqrt 2}{h} \\0.707=\frac{5\sqrt 2}{h} \\h=\frac{5\sqrt 2}{0.707} \\h=1[/tex]

Therefore, correct option is A.

Answer:

Hope this helps!

Please mark brainliest!

24x3=72

And 10% of 24 is 2.4

So $74.04

Answer: 80

Step-by-step explanation:

100 ----- x

30 ------ 24

V

10// ----- x

3// ------ 24

V

3 · x = 24 · 10

3x = 240

x = 240/3

x = 80

Answer:

Price = 20, Amount = 14

Step-by-step explanation:

A = Amount of Mangoes

P = Price for 1 Mango

P = A + 6

280 = P * A

insert A+6 for P

280 = (A+6) * A

280 = 6A + A²

280=1*a^2+6*a  | Vertausche beide Seiten der Gleichung.

1*a^2+6*a=280  | quadratische Ergänzung: ergänze auf beiden Seiten (3)^2

1*a^2+6*a+(3)^2=3^2+280  | Rechne 3 hoch 2 aus.

1*a^2+6*a+(3)^2=9+280  | addiere 9 und 280

1*a^2+6*a+(3)^2=9+280  | Fasse die rechte Seite mit Hilfe der binomischen Formel zusammen.

1*(1*a+(3))^2=289  | Auf beiden Seiten Quadratwurzel ziehen.

1*a+(3)=+-*289^0.5  

1*a_1+(3)=289^0.5  

1*a_1+3=289^0.5  | Ziehe die Wurzel aus 289

1*a_1+3=17  | -3

1*a_1=14  

The total number of mangoes bought by Kumar are 14.

"An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values is called mathematical equation. For example, 3x + 5 = 15. There are different types of equations like linear, quadratic, cubic, etc."

We have,

Total amount for mangoes(P) =  280

Price of one mango is equal to 6 more than the total number of mangoes (A) i.e., P = A+6

By using mathematical equation from the question

P×A = 280.....(1)

Substitute P = A+6 in equation (1)

⇒ (A+6) × A = 280

⇒[tex]A^{2}+6A =280[/tex]

Add [tex]3^{2}[/tex] on both sides of above equation

⇒[tex]A^{2}+6A+3^{2} = 280+3^{2}[/tex]

⇒[tex]A^{2}+2.(1)(3A)+3^{2} =289[/tex]          (∵ [tex](a+b)^{2} = a^{2}+2ab+b^{2}[/tex])

⇒[tex](A+3)^{2} =289[/tex]

⇒[tex]A+3 = \sqrt{289}[/tex]

⇒[tex]A=17-3[/tex]

⇒[tex]A=14[/tex]

Hence, The total number of mangoes bought by Kumar are 14.

Learn more about mathematical equation here

https://brainly.com/question/15389595

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Answer:

x ^2 y √ 3 y

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Answer:10

Step-by-step explanation:

Answer:

I think it is k(2,5) or k'(-2, -5

Step-by-step explanation:

Hope This Helps Have A Good Day

70% sure that it is K(2,5)

Step-by-step explanation:

If A [4 3 ] is a singular matrix find the

[a 3 ] value of 'a'.

a=4

Answer:

15a^5 b^15

Step-by-step explanation:

_____________

Answer:

35.18576

Step-by-step explanation:

use eqation E

Answer:

If the angle is in radians...

Area of sector =½r²¢

Where ¢ is theta.

Since Our angle is degree

We use

Area of Sector = ¢/360 x πr²

¢=theta

radius = Diameter/2

radius = 16/2 = 8m

Area = 126/360 x π x 8²

= 112π/5

=70.37

Answer: C

Step-by-step-explanation: Given

- (12x + 8) ≤ - 2x + 11 ← distribute parenthesis on left side

- 3x - 2 ≤ - 2x + 11 ( add 3x to both sides )

- 2 ≤ x + 11 ( subtract 11 from both sides )

- 13 ≤ x , thus

x ≥ - 13

Since x can equal - 13 then a solid circle at - 13 represents the solution

Since x greater than - 13 then the arrow is facing to the right of - 13 on the number line.

Then the graph representing the solution is C

Answer:

option A

Step-by-step explanation:

Let  x = y + y

Now using Pythagoras theorem :

                                    [tex]15^2 = y^2 + 12^2\\225 = y^2 + 144\\225 - 144 = y^2\\81 = y^2\\9 = y[/tex]

Therefore , x = y + y = 18

Answer:

(x/2)²+12² =15²

(x/2)²+144=225

(x/2)²=225-144

x²/4. =81

x² =81×4

x. =√81×4

x. =9×2

x. =18

answer is option A

Answer:

24 feet

Step-by-step explanation:

The given parameters of the blueprint are;

The length of each grid square on the blueprint = 10 feet

The total distance in feet around the garden, P = 4 + 2 + 2 + 4 + 6 + 6 = 24

The total distance in feet around the garden = 24 feet

Answer:

its (0,-1) ...................................

Answer:

Answer:

Total amount ÷ number of person's

Step-by-step explanation:

for example:- there are four persons and the total amount they have to pay is ₹2000

Now,

contribution of each person = total amount ÷no.of persons

= ₹(2000 ÷4)

=₹500

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

-3c-11+14c=-14c-11

                  +14c

-3c-11+28c = -11

                  +11

-3c+28c = 0

25c=0

divide both sides by 25

c=0

Answer:

c=0

Step-by-step explanation:

-3c-11+14c=-14c-11

Combine like  terms

-11c -11 = -14c -11

Add 11 to each side

-11c-11+11 = -14c -11+11

-11c = -14c

Add 14c to each side

-11c+14c = -14c+14c

3c =0

Divide by 3

3c/3 = 0/3

c =0

Answer:

the first and third option

Step-by-step explanation:

In the initial recipe, the ratio of tomato sauce to chile sauce is 1 : 3/2

To make it spicier this ratio has to be higher than the initial ratio

Ratio in the first option : 1/2 : 1 = 1 : 2

option 2 : if both recipes are double, the proportion of ingredients remain the same

oprion 3 : 1 : 3

option 4 : 1 : 1

option 5 : 1 : 5/3

Answer:

= 140.544cm^2

Step-by-step explanation:

Given data

a is the radius=4cm

b is the lenght= 10cm

We two circles, hence the area of the circles is given as

Area= 2(πr^2)

Area= 2(3.142*4^2)

Area= 2(50.272)

Area= 100.544cm^2

Area of the rectangular shape= 4*10= 40cm^2

Hence the total area = 100.544+40

= 140.544cm^2

Answer:

Negative slope

Step-by-step explanation:

Answer and Step-by-step explanation:

The answer is that the line has a negative slope.

In an equation, the the slope (m) would be a negative number, looking like this:

y = -mx + b

#teamtrees #PAW (Plant And Water)

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

Explanation:

We can apply the remote interior angle theorem. Some math books or teachers may refer to this as the "exterior angle theorem". They're the same idea just with different names.

According to that theorem, the interior angles x and 53 add up to the exterior angle 158

x+53 = 158

x = 158-53

x = 105

This theorem only works if neither interior angle is adjacent to the exterior angle. Hence the "remote" part.

----------

If you wanted a slightly longer approach, then let y be the missing angle that isn't marked in the diagram. Angle y is adjacent to the 158 degree angle.

We can find y by noting how 158 and y are supplementary

158+y = 180

y = 180-158

y = 22

Then we use the fact that adding three angles of any triangle always gets us 180 degrees

x+y+53 = 180

x+22+53 = 180

x+75 = 180

x = 180-75

x = 105

Effectively, this example helps reinforce why the remote interior angle theorem is true.