The table below shows possible cost and revenue equations for a manufacturer of cameras.
Cost
65.16 n + 1,500
I
Cost
35.79 n + 6,700
II
Revenue
98.75 n
III
Revenue
56.95 n
IV

Which of the following pairs of equations will never break even?

Answer:

133 Students

Step-by-step explanation:

Let the number of student in a van=v

Let the number of student in a bus=b

The senior class at Snellville rented and filled 12 vans and 14 buses with 796 students.

Therefore: 12v+14b=796

General High rented and filled 14 vans and 12 buses with 738 students.

Therefore: 14v+12b=738

We solve the two resulting equations simultaneously

12v+14b=796

14v+12b=738

Multiply equation 1 by 12 and equation 2 by 14 to eliminate b

144v+168b=9552

196v+168b=10332

Subtract

-52v=-780

Divide both sides by -52

v=15

We substitute v=15 to obtain b in any of the equations

12v+14b=796

12(15)+14b=796

14b=796-180

14b=616

Divide both sides by 14

b=44

Therefore a bus contains 44 Students and a Van contains 15 students.

Number of Students who would fill 2 buses and 3 vans

=2b+3v

=2(44)+3(15)

=133 Students

Answer:

  b) dV/dt = c * dT/dt

Step-by-step explanation:

Differentiating the equation with respect to time, you have ...

  V = cT

  dV/dt = c·dT/dt . . . . matches choice B

Answer:

V1  = Base x Height = 43 x 15 = 645 (mm3)

V2 = Base x Height = 12 x 7 = 84 (mm3)

Hope this helps!

:)

Answer:

1) 645 mm³

2) 84 cm³

Step-by-step explanation:

Volume of prism:

Base area × height

1) 43 × 15 = 645 mm³

2) 12 × 7 = 84 cm³

Answer:nth term=a1 - 27n + 27

Step-by-step explanation:

first term =a1

common difference=d=-1-21

d=-27

Using the formula

Tn=a1 + d x (n-1)

nth term=a1 + (-27)(n-1)

nth term=a1 - 27n + 27

Answer:

8. -⅓ cos³x + C

9. sec x + eˣ + C

Step-by-step explanation:

8. ∫ sin x cos²x dx

If u = cos x, then du = -sin x dx.

∫ -u² du

-⅓ u³ + C

-⅓ cos³x + C

9. ∫ (sec x tan x + eˣ) dx

∫ sec x tan x dx + ∫ eˣ dx

These are both standard integrals:

sec x + eˣ + C

Question 8:

∫sinxcos²xdx

∫-u²du (let u = cos(x))

-∫u²du

-u(^2+1)/2+1

-cos^(2+1)(x)/2+1

-1/3cos³(x)

-1/3cos³(x) + C

Question 9:

∫(secxtanx + eˣ)dx

∫sec(x)tan(x)dx + ∫eˣdx (apply sum rule)

sec(x) + eˣ (sec(x)tan(x)dx = sec(x) and eˣdx = eˣ)

sec(x) + eˣ + C

Best of Luck!

Answer:

ooage booge ohag

Step-by-step explanation:

oomago ooga booga

Answer:

I got a universal translator and got "Hello in caveman goodbye in caveman"

Step-by-step explanation:

Answer:

z = (3/√2) + (1/√2)î = (1/√2) [3 + i] = (2.1213 + 0.7071i)

OR

z = -(3/√2) + i(1/√2) = (1/√2) [-3 + i] = (-2.1213 + 0.7071i)

p = (3/√2) = 2.1213

q = (1/√2) = 0.7071

OR

p = (-3/√2) = -2.1213

q = (1/√2) = 0.7071

Step-by-step explanation:

z = √(4 + 3i)

Let the complex number z be equal to

z = p + qi

So, we can write

z = p + qi = √(4 + 3i)

p + qi = √(4 + 3i)

Square both sides

(p + qi)² = [√(4 + 3i)]²

p² + pqi + pqi + (qi)² = (4 + 3i)

p² + 2pqi + q²i² = 4 + 3i

note that i² = -1

p² + 2pqi - q² = 4 + 3i

(p² - q²) + 2pqi = 4 + 3i

Comparing both sides, and them equating the real parts on both sides to each other and the complex parts to each other

(p² - q²) = 4 (eqn 1)

2pq = 3 (eqn 2)

From eqn 2

p = (3/2q)

p² = (9/4q²)

Substituting this into eqn 1

(9/4q²) - q² = 4

multiplying through by 4q²

9 - 4q⁴ = 16q²

4q⁴ + 16q² - 9 = 0

let q² = x, q⁴ = x²

4x² + 16x - 9 = 0

Solving the quadratic equation

x = 0.5 or -4.5

q² = 4

q² = 0.5 or q² = -4.5

q = √0.5 or √-4.5

q = (1/√2) = (√2)/2 = 0.7071

Or q = i(3/√2) = i(3√2)/2 = 2.1213I

p = (3/2q)

If q = (1/√2) = (√2)/2 = 0.7071

p = (3/√2) = (3√2)/2 = 2.1213

if q = i(3/√2) = i(3√2)/2 = 2.1213I

p = i(1/√2) = i(√2)/2 = 0.7071i

z = p + qi

If q = (1/√2) = (√2)/2 = 0.7071

p = (3/√2) = (3√2)/2 = 2.1213

z = (3/√2) + (1/√2)î = (1/√2) [3 + i]

= 2.1213 + 0.7071i

if q = i(3/√2) = i(3√2)/2 = 2.1213I

p = i(1/√2) = i(√2)/2 = 0.7071i

z = i(1/√2) + [i(3/√2) × i]

z = i(1/√2) - (3/√2)

z = -(3/√2) + i(1/√2)

z = (1/√2) [-3 + i]

z = -2.1213 + 0.7071i

Hope this Helps!!!

Answer:

Max will choose the wall hanging that is shaped like a trapezoid.

Step-by-step explanation:

To find the area of the trapezoid, break it into a triangle and another trapezoid. Use the formula for the area of a triangle (A=base*height*1/2) and the formula for the area of a trapezoid (A=base+base*height*1/2). The area of the trapezoid is 672 square centimeters.

To find the area of the kite, break it into two identical triangles. (There's a horizontal line between them.) Use the formula for the area of a triangle for both, then add the two areas. The area of the kite is 648 square centimeters.

Finally, we know that 672>648. Therefore, Max will choose the wall hanging that is shaped like a trapezoid.

Hope this helps! Tell me if you have any other questions:)

Answer:trapezoid

Step-by-step explanation:

Answer: 26

Step-by-step explanation: Take the mean of the 5 #'s (23). Which # is 3 away from 23? 26.

Answer:

(-2, 2), (0, 2), (7, 2), (11, 2)

Step-by-step explanation:

A relation must have no repeating x-values for it to be a function.

Set C does not have any repeating x-values, so it is a function.

Sets A, B, and D have repeating x-values, so they are not functions.

A: (0, 0), (2, 3), (2, 5), (6, 6)

B: (3, 5), (8, 4), (10, 11), (10, 6)

D: (13, 2), (13, 3), (13, 4), (13, 5)

Answer:

c

Step-by-step explanation:

hope this helps

Answer:

I am pretty sure that it is 5/8

Step-by-step explanation:

Answer: 5/8

Step-by-step explanation: 1/4 turns into 2/8 and then subtract 2/8 from 7/8 and you get 5/8

Answer:

72 ft.

Step-by-step explanation:

12 inches = 1 foot

Answer:

   72 feet

Step-by-step explanation:

math calculator

1 7/10 is equivalent to the improper fraction 17/10

We have been given that on May 22, 1960, an earthquake in Chile measured 9.5 on the Richter scale. On February 27, 2010, another earthquake in Chile measured 8.8 on the Richter scale.

We will use Richter scale formula to compare the intensities of the two earthquakes.

[tex]R=\log(I)[/tex], where

R = Richter scale value,

I = Intensity

Upon substituting our given values, we will get two equations.

[tex]9.5=\log(I_1)...(1)[/tex]

[tex]8.8=\log(I_2)...(2)[/tex]

Upon subtracting equation (2) from equation (1), we will get:

[tex]9.5-8.8=\log(I_1)-\log(I_2)[/tex]

[tex]0.7=\log(I_1)-\log(I_2)[/tex]

Using log property [tex]\log(a)-\log(b)=\log(\frac{a}{b})[/tex], we will get:

[tex]0.7=\log(\frac{I_1}{I_2})[/tex]

[tex]\log(\frac{I_1}{I_2})=0.7[/tex]

[tex]\frac{I_1}{I_2}=10^{0.7}[/tex]

[tex]\frac{I_1}{I_2}=5.011872336[/tex]

Upon rounding our answer to the nearest whole number, we will get:

[tex]\frac{I_1}{I_2}\approx 5[/tex]

Therefore, the earthquake in 1960 had about  5 times the intensity as the earthquake in 2010.

Answer:

The Answer Is "5" On Edge

Step-by-step explanation:

De Nada:)

Answer:

0.004

Step-by-step explanation:

The probability of rolling any number is 1/6 so that times 3 is 1/216 that as a decimal i 0.004

Answer:

y=a

Step-by-step explanation:

Answer:4√(13)

Step-by-step explanation:

Adjacent=12

Opposite=8

Hypotenuse=√((adjacent)^2+(opposite)^2)

hypotenuse=√(12^2+8^2)

Hypotenuse=√(12x12+8x8)

Hypotenuse=√(144+64)

Hypotenuse=√(208)

Hypotenuse=√(16x13)

hypotenuse=√(16) x √(13)

Hypotenuse=4 x √(13)

Hypotenuse=4√(13)

We have been given that a bicycle wheel has a circumference of 66 inches. We are asked to find the radius of the wheel.

We will use circumference of circle formula to solve our given problem.

[tex]\text{Circumference of circle}=2\pi r[/tex], where r represents radius if circle.

Upon substituting our given values, we will get:

[tex]66=2\cdot 3.14\cdot r[/tex]

[tex]66=6.28\cdot r[/tex]

[tex]6.28\cdot r=66[/tex]

[tex]\frac{6.28\cdot r}{6.28}=\frac{66}{6.28}[/tex]

[tex]r=10.509554[/tex]

Upon rounding to nearest hundredths, we will get:

[tex]r\approx 10.51[/tex]

Therefore, the radius of the wheel is approximately 10.51 inches.

Answer:

A.

Step-by-step explanation:

We would reflect the point P so that another point would be made of the same length from the line.

Answer:

k=5

Step-by-step explanation:

10÷2=5

20÷4=5

and so on

Answer:

The right answer should be 6

Step-by-step explanation:

Answer:

Option D: 5591.93

Step-by-step explanation:

The best way to understand this question is to apply the formula in an indirect manner;

P - Principle number, Starting Value

T - Time

I - Interest

Let us convert the interest into decimal form, such that 3.8% is shifted two decimal points to the right ⇒ 0.038. Now add 1 to this value to get ⇒ 1.038. By PEDMAS, you would first raise this value to the span of 3 years as such:

(1.038)^3 = 1.118386872.......

The final step would by to multiply the starting value (investment $) $ 5,000 by this continuing value of 1.118386872:

5,000(1.118386872) = 5591.93436 ⇒ Rounded to (About) 5591.93

Answer:D

Step-by-step explanation:

principal=p=$5000

Rate=r=3.8%

Time=n=3 years

amount=a

a=p(1+r/100)^n

a=5000(1+3.8/100)^3

a=5000(1+0.038)^3

a=5000(1.038)^3

a=5000 x 1.038 x 1.038 x 1.038

a=5591.93

a=$5591.93

Answer:

4500 millimeters

Step-by-step explanation:

4500 millimeters.

hope it helps

Answer:

C.  [tex]\frac{\sqrt{5} }{8}[/tex]

Step-by-step explanation:

This expression can be rewritten as [tex]\frac{\sqrt{5} }{\sqrt{64} }[/tex].

Since the square root of 5 is prime and does not have any perfect square factors, it cannot be simplified. However, the square root of 64 is equal to 8, so our final simplified radical expression would be [tex]\frac{\sqrt{5} }{8}[/tex], which is option C.

HOPE THIS HELPED! :)

Answer:

C is the answer

Step-by-step explanation:

You have to rewrite as [tex]\sqrt{5}[/tex]/[tex]\sqrt{64}[/tex]. Then you have to simplify the denominator which is 8. That is how you get your answer.

Hope this helps.

Answer: this is the right answer Graph A represents j(x). The y-intercepts for f(x) and g(x) can be 1 and 3. And The rate of change of the sum of f(x) and g(x) is greater than that of either function. your welcome

Step-by-step explanation:

The rate of change of the sum of f(x) and g(x) is greater than that of either function.

From the question, we have the following parameters:

The graphs of the functions are not given;

However, if all the functions are linear functions, then the slopes of the sum of functions f(x) and g(x) could be greater than the slopes of h(x) and j(x)

Hence, the true statement (by observation) is (c)

Read more about linear functions at:

https://brainly.com/question/4025726

#SPJ1

Answer:

In this case, you should check the x-intercept (y = 0).

=> (x-3)(x+4) = 0

=> Two x-intercept at x = 3 and x = -4

C, D are  not right, because there is no two x-intercepts.

A is not correct, because both of x-intercepts are less than 0.

=> Option B is correct.

Hope this helps!

:)

Answer:

well area is the space inside of a shape. so you would multiply 2 by 4 because there are 4 sides.

Step-by-step explanation:

Answer:  area is 10

Step-by-step explanation:

add top and bottom base

8+2=10

then divide by 2

10/2 = 5

then times 5 by 2

5*2=10

8+2/2 * 2 = 10

10 = area

Answer:

⅜ x + ¹/₁₂ sin(6x) + ¹/₉₆ sin(12x) + C

Step-by-step explanation:

∫ cos⁴(3x) dx

Use power reduction formula:

⅛ ∫ (3 + 4cos(6x) + cos(12x)) dx

⅜ ∫ dx + ½ ∫ cos(6x) dx + ⅛ ∫ cos(12x) dx

⅜ ∫ dx + ¹/₁₂ ∫ 6 cos(6x) dx + ¹/₉₆ ∫ 12 cos(12x) dx

⅜ x + ¹/₁₂ sin(6x) + ¹/₉₆ sin(12x) + C

Answer:

The number of boys are 64.

Step-by-step explanation:

We have,

The ratio of the boy to girl is 8:9.

Total number of girls are 72.

Let total boys are 8x and total girls are 9x.

According to the question,

[tex]9x=72\\\\x=8[/tex]

Since, number of boys are 8x. So,

[tex]B=8x=8\times 8=64[/tex]

So, the number of boys are 64.

Answer:

it's B

Step-by-step explanation:

because I took the test