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2 years ago

Please help me. NO LINKS!!

Mathematics

2 answers:

stiks02 [169]2 years ago

6 0

The domain (input values) of the cosine function is all negative and positive angle measures.

Let the function be f(x) = cos(x)

The domain of cos(x) is -∞ < x < ∞

The range is -1 ≤ f(x) ≤ 1

Hence, domain of cos(x) is all (+) and (-) angle measures.

Same goes with sine function as well

For function f(x) = sin(x)

The domain is -∞ < x < ∞ and range -1 ≤ f(x) ≤ 1

However for f(x) = tan(x) the same is not applicable.

NikAS [45]2 years ago

3 0

Answer:

A. all negative and positive angle measures.

Step-by-step explanation:

The domain of a function is the set of input values (x-values).

The cosine function is a continuous function, and therefore has no restrictions throughout its domain.

Therefore, its domain is all real numbers.

Set notation: { x | x ∈ R }

Interval notation: (-∞, ∞)

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Ms. Ayala conducted a survey and found that 2/5 of her students love to draw and 1/4 of those students loved to paint their draw

kaheart [24]

Answer:

Step-by-step explanation:

2/5 * 1/4 = 2/20 or 1/10

7 0

3 years ago

The stopping distance d of an automobile is directly proportional to the square of its speed s. On one road, a car requires 75 f

Anton [14]

Answer:

The car requires 192 feet to stop from a speed of 48 miles per hour on the same road

Step-by-step explanation:

Direct proportion means that two quantities increase or decrease in the same ratio

If y is directly proportional to x (y ∝ x) , then $\frac{y_{1}}{y_{2}}=\frac{x_{1}}{x_{2}}$ OR y = k x, where k is the constant of proportionality

∵ The stopping distance d of an automobile is directly

proportional to the square of its speed s

- That means d ∝ s²

∴ $\frac{d_{1}}{d_{2}}=\frac{(s_{1})^{2}}{(s_{2})^{2}}$

∵ A car requires 75 feet to stop from a speed of 30 miles per hour

∴ d = 75 feet

∴ s = 30 miles/hour

- Change the mile to feet

∵ 1 mile = 5280 feet

∴ 30 miles/hour = 30 × 5280 = 158400 feet/hour

∵ The car require to stop from a speed of 48 miles per hour

on the same road

- Change the mile to feet

∴ 48 miles/hour = 48 × 5280 = 253440 feet/hour

∵ $\frac{d_{1}}{d_{2}}=\frac{(s_{1})^{2}}{(s_{2})^{2}}$

- Substitute the values of $d_{1}$ by 75 feet, $s_{1}$ by 158400 feet/hour

and $s_{2}$ by 253440 feet/hour

∴ $\frac{75}{d_{2}}=\frac{(158400)^{2}}{(253440)^{2}}$

∴ $\frac{75}{d_{2}}=\frac{25}{64}$

- By using cross multiplication

∴ 25 × $d_{2}$ = 75 × 64

- Divide both sides by 25

∴ $d_{2}$ = 192 feet

The car requires 192 feet to stop from a speed of 48 miles per hour on the same road

4 0

3 years ago

Compare the line passing through the points (−3, − 11) and (6, 4) to the line given by the equation y=32x−6.

butalik [34]

Answer:

See below

Step-by-step explanation:

Given points:

(-3, -11) and (6, 4)

Let's calculate it's equation:

y = mx +b
m = (4 + 11)/(6 +3) = 15/9 = 5/3
y = 5/3x + b
-11 = 5/3*(-3) + b ⇒ b = -11 + 5 = -6
y = 5/3x - 6

The given line:

y = 32x - 6

Compared, the lines have different slope (5/3 vs 32) but same y- intercept (-6), so both pass through the point of (0, -6). y= 32x - 6 has greater rate of change.

8 0

3 years ago

How many groups of 1/4 are in 3. Draw a tape diagram

BaLLatris [955]

Answer:

12 groups of 1/4

Step-by-step explanation:

Look up the tape diagram part

8 0

3 years ago

Pls help i dont get it much

Doss [256]

Answer:

Fraction Decimal Percent

111/250 = 0.444 = 44.4%

5/100 = 0.05 = 5%

2/3 = 0.66 = 666%

3 0

3 years ago

Please help me. NO LINKS!!​

Please help me. NO LINKS!!