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Dmitriy789 [7]
2 years ago
14

The area is no more than 40 square feet. Write and solve an inequality that represents the value of x

Mathematics
1 answer:
Anna35 [415]2 years ago
3 0

Answer:

well its a triangle so

40 divide by 20 is 2

but you have to mutiply that 2 by 2

Step-by-step explanation:

4

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Sarah's surfboards charges a fee of $60 to rent a surfboard and then $10.50 per hour. Sally's surfboards does not charge a fee,
Zanzabum

Answer:

12 hours

Step-by-step explanation:

Let the number of hours be represented as h.

Sarah's surfboards charges a fee of $60 to rent a surfboard and then $10.50 per hour.

Mathematically ,

60 + 10.50h

Sally's surfboards does not charge a fee, but they cost $15.50 per hour

Mathematically,

15.50h

Equating both equations together

60 + 10.50h = 15.50 h

Collect like terms

60 = 15.50h - 10.50h

60 = 5h

h = 60/5

h = 12 hours

Therefore, the number of hours that the cost will be the same to rent a surfboard for each shop is 12 hours.

7 0
2 years ago
Match each trigonometric function with its Unit Circle definition. Note that Angle A is correctly oriented for the Unit Circle d
PtichkaEL [24]
The first diagram below shows a circle with a radius of 1 (unit circle). The circle is drawn on a Cartesian graph with (0,0) as the center of the circle.

From the second diagram, we can determine the value of sin(Θ) = y
and cos(Θ) = x

We can further deduce that
tan(Θ) = \frac{y}{x}
sec(Θ) = \frac{1}{cos(Θ)} = \frac{1}{x}
cosec(Θ) = \frac{1}{sin(Θ)} = \frac{1}{y}
cot(Θ) = \frac{cos(Θ)}{sin(Θ)} = \frac{x}{y}

4 0
2 years ago
Read 2 more answers
the function y = 3.75 + 1.5(x-1) can be used to determine the cost in dollars for a taxi ride of x miles. what is the rate of ch
Nesterboy [21]
Cost for travelling 1 mile = 3.75
 cost 2 miles  = 5.25
cost 3 miles = 6.75
 cost 4 miles = 8.25

rate of change = 1.5 dollars per mile
8 0
3 years ago
Read 2 more answers
MCR3U1 Culminating 2021.pdf
11111nata11111 [884]

Answer:

(a) y = 350,000 \times (1 + 0.07132)^t

(b) (i) The population after 8 hours is 607,325

(ii) The population after 24 hours is 1,828,643

(c) The rate of increase of the population as a percentage per hour is 7.132%

(d) The doubling time of the population is approximately, 10.06 hours

Step-by-step explanation:

(a) The initial population of the bacteria, y₁ = a = 350,000

The time the colony grows, t = 12 hours

The final population of bacteria in the colony, y₂ = 800,000

The exponential growth model, can be written as follows;

y = a \cdot (1 + r)^t

Plugging in the values, we get;

800,000 = 350,000 \times (1 + r)^{12}

Therefore;

(1 + r)¹² = 800,000/350,000 = 16/7

12·㏑(1 + r) = ㏑(16/7)

㏑(1 + r) = (㏑(16/7))/12

r = e^((㏑(16/7))/12) - 1 ≈ 0.07132

The  model is therefore;

y = 350,000 \times (1 + 0.07132)^t

(b) (i) The population after 8 hours is given as follows;

y = 350,000 × (1 + 0.07132)⁸ ≈ 607,325.82

By rounding down, we have;

The population after 8 hours, y = 607,325

(ii) The population after 24 hours is given as follows;

y = 350,000 × (1 + 0.07132)²⁴ ≈ 1,828,643.92571

By rounding down, we have;

The population after 24 hours, y = 1,828,643

(c) The rate of increase of the population as a percentage per hour =  r × 100

∴   The rate of increase of the population as a percentage = 0.07132 × 100 = 7.132%

(d) The doubling time of the population is the time it takes the population to double, which is given as follows;

Initial population = y

Final population = 2·y

The doubling time of the population is therefore;

2 \cdot y = y \times (1 + 0.07132)^t

Therefore, we have;

2·y/y =2 = (1 + 0.07132)^t

t = ln2/(ln(1 + 0.07132)) ≈ 10.06

The doubling time of the population is approximately, 10.06 hours.

8 0
2 years ago
How do I simplify 10q-2q+3-9?
Viktor [21]

Answer:

The answer should be 8q-6 i think i tried

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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