1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vagabundo [1.1K]
3 years ago
12

What is the domain of f?

Mathematics
1 answer:
agasfer [191]3 years ago
3 0

Answer:

-5 ≤x ≤6

Step-by-step explanation:

The domain is the values that x can take

X goes from -5 and includes -5 to x =6 and includes 6

-5 ≤x ≤6

You might be interested in
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
3 years ago
Can someone find the surface area for this? :)
AysviL [449]

Answer:

84 :)

Step-by-step explanation:

bottom surface area= 6m^{2}

top surface area=6m^{2}

lateral surface area= 72m^{2}

add this together you get TOTAL surface area of 84

3 0
3 years ago
Read 2 more answers
Find the midpoint of the line segment joining the points P1 and P2.
ludmilkaskok [199]

Formula for midpoint between two points is M(x,y)

x=(x1+x2)/2 and y=(y1+y2)/2

In our case (x1,y1)=(m,b) and (x2,y2)=(0,0)

x=(m+0)/2=m/2 and y=(b+0)/2=b/2     M(m/2,b/2)

Good luck!!!

7 0
3 years ago
Please help as soon as possible
lidiya [134]
The slope is 0
Y=0x+3
3 0
3 years ago
Collin is building a deck on the back of his house. He has enough lumber for the deck to be 144 square feet. The length should b
joja [24]
Width = x
length = x+10

Area of deck = 144 square feet

Area = length * width

144 = x(x+10)

Solving for x in a quadratic:

x²+10x = 144
x²+10x-144 = 0

Factor:
(x+18)(x-8) = 0

Solving for x:
x = 8, x = -18

Dimensions cannot be negative, therefore x = 8, only.

Length = x + 10
Length = 18

Width = 8
4 0
3 years ago
Other questions:
  • Alyssa is selling bags of peanuts to raise money for a fundraiser. So far, she has sold 36 bags of peanuts. This is 45% of her g
    10·1 answer
  • Three functions are given below: f(x), g(x), and h(x). Explain how to find the axis of symmetry for each function and rank the f
    14·1 answer
  • I need the answer can someone please help me!!
    12·1 answer
  • What is the image point of (3, – 7) after the transformation D3 o R180° ?​
    5·1 answer
  • For g(x) = 3x, describe the value of x when g(x) &lt; 27.<br> When g(x) &lt; 27, x&lt;
    13·1 answer
  • Find the x-intercept and the y-intercept from the following linear equation: 5x + 2y = 20​
    6·1 answer
  • Area of rectangle is 128, the ratio of length to width is 2:1 what is the width
    8·1 answer
  • Find the factor of each ff.<br> 10x²-21x-27​
    12·1 answer
  • 11. Name a pair of complementary angles in this figure.
    8·1 answer
  • Use differences to find a pattern in the sequence.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!