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2 years ago

In the diagram FEL ~ JOS

Mathematics

1 answer:

____ [38]2 years ago

8 0

9514 1404 393

Answer:

EL/EF and OS/OJ

Step-by-step explanation:

In the similar triangles, angle F and angle J have the same measure, so will have the same tangent. The tangent is the ratio of the opposite side to the adjacent one.

In ΔFEL, the desired ratio is ...

tan(F) = EL/EF . . . . . 2nd choice

In ΔJOS, the equivalent ratio is ...

tan(J) = tan(F) = OS/OJ . . . . . 7th choice

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LenaWriter [7]

The results of the experiment are shown in the frequency side
a) 14
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2 years ago

⦁ The population of the Tallahassee metropolitan area was 382,627 at the end of 2017 with a growth rate of 2.78%. Using the expo

a_sh-v [17]

Answer:

The exponential growth model for the population of the Tallahassee metropolitan area is $y=382627(1.0278)^t$ .

Step-by-step explanation:

The exponential formula is

$y=b(1+r)^t$

Where b is initial population, r is growth rate, (1+r) is growth factor and t is time (in years) after the initial year.

The population of the Tallahassee metropolitan area was 382,627 at the end of 2017. The growth rate is 2.78%.

Here the initial year is 2017 and rate is 0.0278

$y=382627(1+0.0278)^t$

$y=382627(1.0278)^t$

Graph of the equation is shown below. The x-axis represents the number of years after 2017 and y-axis represents the total population.

Difference between 2025 and 2017 is 8 years. Put t=8

$y=382627(1.0278)^8$

$y=476479.828188\approx 476479$

Therefore the projected population in 2025 is 476479.

7 0

3 years ago

Write a in slope-intercept form of the line that passes threw (-9,5) and (-3,3)

Amanda [17]

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

$y = mx + b$

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}$

We have the following points:

$(x_ {1}, y_ {1}): (- 9,5)\\(x_ {2}, y_ {2}): (- 3,3)$

Substituting we have:

$m = \frac {3-5} {- 3 - (- 9)}\\m = \frac {-2} {- 3 + 9}\\m = \frac {-2} {6}\\m = - \frac {1} {3}$

Thus, the equation is of the form:

$y = - \frac {1} {3} x + b$

We substitute one of the points and find "b":

$3 = - \frac {1} {3} (- 3) + b\\3 = 1 + b\\3-1 = b\\b = 2$

Finally, the equation is of the form:

$y = - \frac {1} {3} x + 2$

Answer:

$y = - \frac {1} {3} x + 2$

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3 years ago

I NEED HELP ASAP! Which equation is represented by the graph below?

WARRIOR [948]

Answer:B

Step-by-step explanation:

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3 years ago

Read 2 more answers

A city starts with a population of 500,000 people in 2007. Its population declines according to the equation

hjlf

Answer: After 7 years the population will be one-half the initial amount.

Step-by-step explanation:

Given: Initial population = 500,000

The population declines according to the equation:

$P(t) = 500,000e^{ -0.099t}$ , where P is the population in t years later.

One-half the initial amount = 0.5 x 500,000

= 250,000

Put P(t)=250,000, we get

$250000=500000e^{-0.099t}\\\\\Rightarrow\ \frac{500000e^{-0.099t}}{500000}=\frac{250000}{500000}\\\\\Rightarrow\ e^{-0.099t}=\frac12\\\\\Rightarrow\ -0.099t=\ln \left(\frac{1}{2}\right)\\\\\Rightarrow\ t=\frac{1000\ln \left(2\right)}{99}=\frac{1000(0.69314)}{99}\\\\\Rightarrow\ t=7.00148\approx7$

Hence, After 7 years the population will be one-half the initial amount.

5 0

3 years ago