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Vaselesa [24]
3 years ago
14

Rebecca has a monthly plan that charges her $45.50 each month for unlimited talk and text. For each gigabyte of data that she us

es, she has to pay an additional $5.25. If the cost of her bill is represented by variable C and the number of gigabytes is represented by the variable g, write an equation that represents this situation.
Mathematics
1 answer:
olga nikolaevna [1]3 years ago
3 0

Answer:

C = $5.25g + $45.50

Step-by-step explanation:

The $45.50 is her monthly bill and does not change. The additional fee determines on the amount of gigabytes she used which is undetermined, using the variable g. It cost $5.25 per gigabyte. C is her total/the bill.

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Match the equation with the name of its form:
Anastaziya [24]

Answer:

standard form - 3

none of the forms - 2 or 4

slope intercept form - 1

point slope form - 2 or 4

sorry i dont rlly know

5 0
3 years ago
Read 2 more answers
How do you do this question?
irga5000 [103]

Answer:

π/6 [37^(³/₂) − 1] ≈ 117.3187

Step-by-step explanation:

The surface area is:

S = ∫ 2π (x − 0) √(1 + (dx/dy)²) dy

0 ≤ x ≤ 3, so -4 ≤ y ≤ 5.

Find dx/dy.

y = 5 − x²

x² = 5 − y

x = √(5 − y)

dx/dy = ½ (5 − y)^(-½) (-1)

dx/dy = -½ (5 − y)^(-½)

(dx/dy)² = ¼ (5 − y)^(-1)

(dx/dy)² = 1 / (4 (5 − y))

Plug in:

S = ∫₋₄⁵ 2π x √(1 + 1 / (20 − 4y)) dy

S = ∫₋₄⁵ 2π √(5 − y) √(1 + 1 / (4 (5 − y))) dy

S = ∫₋₄⁵ 2π √((5 − y) + 1/4)) dy

S = ∫₋₄⁵ 2π √(5.25 − y) dy

If u = 5.25 − y, then du = -dy.

S = ∫ 2π √u (-du)

S = -2π ∫ √u du

S = -2π (⅔ u^(³/₂))

S = -4π/3 u^(³/₂)

Substitute back:

S = -4π/3 (5.25 − y)^(³/₂)

Evaluate between y=-4 and y=5.

S = [-4π/3 (5.25 − 5)^(³/₂)] − [-4π/3 (5.25 − -4)^(³/₂)]

S = -4π/3 (0.25)^(³/₂) + 4π/3 (9.25)^(³/₂)

S = π/6 [37^(³/₂) − 1]

S ≈ 117.3187

5 0
3 years ago
Which equation represents a line that passes through (4,1/3) and has a slope of 3/4?
velikii [3]
We can use the point-slope equation:
y = mx + b
m, the slope, is 3/4:
y =  \frac{3}{4} x + b
To find b, we plug in the point (4,1/3):
( \frac{1}{3} ) =  \frac{3}{4} (4) + b \\  \frac{1}{3}  = 3 + b \\  \frac{1}{3} =  \frac{9}{3}  + b
-  \frac{8}{3}  = b

Therefore, the point-slope equation is
y =  \frac{3}{4} x -  \frac{8}{3}

Now we have to see which answer matches.


y -  \frac{3}{4}  =  \frac{1}{3} (x - 4) \\ y -  \frac{3}{4}  =  \frac{1}{3} x -  \frac{4}{3}  \\ y -  \frac{9}{12}  =  \frac{1}{3} x -  \frac{16}{12}
y =  \frac{1}{3} x -  \frac{7}{12}
Since this is not the same, we try the next one.


y -  \frac{1}{3}  =  \frac{3}{4} (x - 4) \\ y -  \frac{1}{3}  =  \frac{3}{4} x - 3 \\ y -  \frac{1}{3}  =  \frac{3}{4} x -  \frac{9}{3}
y =  \frac{3}{4} x -  \frac{8}{3}

This is the same, so this is the answer. We should still double-check the other answers.

y -  \frac{1}{3}  = 4(x -  \frac{3}{4} ) \\ y -  \frac{1}{3}  = 4x - 3 \\ y -  \frac{1}{3}  = 4x -  \frac{9}{3}
y = 4x -  \frac{8}{3}
This one is not equivalent.

y - 4 =  \frac{3}{4} (x -  \frac{1}{3} ) \\ y - 4 =  \frac{3}{4} x -  \frac{1}{4}  \\ y -  \frac{16}{4}  =  \frac{3}{4} x -  \frac{1}{4}
y =  \frac{3}{4} x +  \frac{15}{4}
This one also does not work.


The answer is the second one:
y -  \frac{1}{3}  =  \frac{3}{4} (x - 4)
3 0
3 years ago
Read 2 more answers
Solve x to the power of 2 = 4 where x is a real number. Please help fast
zimovet [89]

Answer:

It's 2

Step-by-step explanation:

X is 2 because if you multiply two by two you get 4

7 0
3 years ago
What are the diminshens of a cube with the volume of 216?
djyliett [7]
To answer this,f ind the cube root of 216:  It is 6.

The dimensions of the cube are 6 by 6 by 6.
5 0
4 years ago
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