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2 years ago

The journey was 100 miles long. We traveled at a steady 50mph and arrived after 2 hours. If you were to draw a

Mathematics

1 answer:

Marianna [84]2 years ago

7 0

Answer:

abscissa t (or x) as the “time since beginning of journey”, with hours h as unit
ordinate d (or y) as the “distance traveled”, with miles mi as unit

Step-by-step explanation:

The graph will look like a diagonal straight line from (0 h, 0 mi) to (2 h, 100 mi). The slope of this line is 50 mph.

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Express secΦ in terms of tanΦ

Sunny_sXe [5.5K]

Answer:

$\sec\theta=\sqrt{1+\tan^2\theta}$

Step-by-step explanation:

The trigonometric identity is :

$\sec^2\theta-\tan^2\theta=1\\\\or\\\\\sec^2\theta=1+\tan^2\theta$

We need to express secθ in terms of tanθ.

The above equation becomes,

$\sec\theta=\sqrt{1+\tan^2\theta}$

Hence, this is the required solution.

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2 years ago

–3x + 1 + 10x = x + 4

Gnom [1K]

Answer:

Exact fraction form: 1/2 Decimal form: 0.5

8 0

2 years ago

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Quick algebra 1 question for 50 points!

saul85 [17]

Answer:

b. -x + y = 0

Step-by-step explanation:

Direct variation:

Direct variation means "y varies directly as x”:

$y \propto x \implies y=kx$

where k is the (non-zero) constant of variation.

To determine which of the given equations represents a direct variation, isolate y for each and compare with the direct variation equation.

Equation a

$y=\dfrac{4}{3}x-2$

This is not a direct variation equation as there is an addition of -2.

Equation b

$-x+y=0$

$\implies y=x$

This is a direct variation equation where the constant of variation is 1.

Equation c

$xy=8$

$\implies y=\dfrac{8}{x}$

This is not a direct variation equation as y is inversely proportional to x.

Equation d

$y=14$

This equation does not include the variable x, and so is therefore not a direct variation equation.

3 0

1 year ago

Read 2 more answers

What is 8.362 rounded to the nearest hundredth?

konstantin123 [22]

Answer:

8.36

Step-by-step explanation:

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3 years ago

Determining Components of an Exponential Function A doctor estimates that a particular patient is losing bone density at a rate

Ipatiy [6.2K]

Answer:

f(x) = 1500(0.97)ˣ

Step-by-step explanation:

Given that:

f(x) = abˣ

a is the initial bone density, that is the bone density at 0 years, x is the number of years and b is any real value. For an exponential growth, b > 1 while for an exponential decay, b < 1.

Since the bone has a current density of 1,500 kg/m³, hence a = 1500.

The density is lost at a rate of 3% annually, therefore b = 100% - 3% = 97% = 0.97.

Therefore substituting the values of a and b into the function gives:

f(x) = 1500(0.97)ˣ

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2 years ago