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Oksana_A [137]
2 years ago
12

Find the slope of the line that passes through the pair of points. (4, 5), (10, 0) 5/6 -5/6 -6/5 6/5

Mathematics
1 answer:
yanalaym [24]2 years ago
4 0
Use the slope formula \dfrac{y_2-y_1}{x_2-x_1} and plug in the values for x and y.
\dfrac{0 - 5}{10 - 4} = \dfrac{-5}{6}
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5 (3x+4)-2x=7x-3 (-2x+11) help
VMariaS [17]
Step one: multiply and divide in order. Step two: add and subtract like terms. Step three: get X alone on one side (what you do to one side you have To do to the other side) Step four: simplify and solve :)
6 0
3 years ago
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Find f(-5) f(x) -4x + 3
Fiesta28 [93]

Answer:

if f(x)= -4x+3

f(-5)= 23

Step-by-step explanation:

first you substitute x for -5

f(-5)= -4(-5)+3

then you multiply

-4(-5)

f(-5)=20+3

you get the positive 20 because negative times negative equals positive

then you just add the rest (20+3) which will give you your answer

f(-5)= 23

8 0
2 years ago
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
3. The value of the expression 5.104 + 4.103 + 7.10 + 1 is equal to: 
ratelena [41]
5.104+4.103+7.10+1=
9.207+7.10+1=
16.307+1=
17.307
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3 years ago
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camie and jorge each saving money for a new computer camie saves $5 per week plus $50 she received for her birthday. jorge saves
ki77a [65]

Answer:

7w<u> > </u>5w + 50

Step-by-step explanation:

8 0
3 years ago
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