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3 years ago

Which expression is equivalent to the one below? 6 ÷ 5A 6:1/5B 5:1/6C 5/6D 30

Mathematics

2 answers:

vlada-n [284]3 years ago

7 0

Answer:

option A

Step-by-step explanation:

6:1/5 can also be written as 6/1÷5 which equals to 6÷5

8090 [49]3 years ago

5 0

Answer:

Option A is equivalent to the expression.

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A sinusoidal function whose period is 1/2, maximum value is 10, and minimum value is -4, has a y-intercept of 3. What is the equ

nikdorinn [45]

Period of sin wave = 1/2
Period of parent sine function is 2π.

This means the x value of sine function (sin(x)) has to be divided by 4π to get a period of 1/2 because 2π/4π = 1/2

Thus, our function will be of the form: $sin( \frac{x}{4 \pi })$

Maximum Value = 10
Minimum Value = -4

Amplitude of the function = (Maximum Value - Minimum Value)/2
So, amplitude of the function is 7

Thus, the function will be of the form:

$7sin( \frac{x}{4 \pi } )$

The function has a y-intercept other than zero, this means the function will be of the form:

$y=7sin( \frac{x}{4 \pi } )+k$

The y-intercept is 3. This means for x=0, y=3. Using the values, we get:

$3=7sin(0)+k \\ \\ 
3=k$

Thus the equation of the sinusoidal function becomes:

$y=7sin( \frac{x}{4 \pi } )+3$

6 0

3 years ago

Find the value of the missing variables.

dsp73

Answer:

$x^{\circ}=35^{\circ}\\ \\y^{\circ}=55^{\circ}$

Step-by-step explanation:

The measure of arc which the right triange cuts from the circle is $70^{\circ},$ this means the central angle has the same measure.

Angle with measure $x^{\circ}$ is inscribed angle subtended on the given arc. Its measure is half the measure of the central angle, hence

$x^{\circ}=\dfrac{1}{2}\cdot 70^{\circ}=35^{\circ}$

Angles with measures $x^{\circ}$ and $y^{\circ}$ are complementary angles (add up to 90°), so

$y^{\circ}=90^{\circ}-35^{\circ}=55^{\circ}$

6 0

3 years ago

Ms. Smith is making 10 snack packs with 1 apple

avanturin [10]

Step-by-step explanation:

1snack pack cost 1.6dollars($0. 6+$1)

10snack pack cost 16dollars.

($0. 6+$1)×10 =/ unequal $9

6 0

2 years ago

Please answer ( DO NOT GIVE A FILE I WILL REPORT ) . Giving brainliest.

elena-14-01-66 [18.8K]

Answer:

Explanation:

so its referring to perimeter.

you add all values together.

this would equal 34.995 .

so, its 34.995 meters of fencing.

5 0

2 years ago

Could you please help with this question for domain, range, and end behavior? I started it, but I think I'm doing it wrong.

Tanzania [10]

It looks like you have the domain confused for the range! You can think of the domain as the set of all "inputs" for a function (all of the x values which are allowed). In the given function, we have no explicit restrictions on the domain, and no situations like division by 0 or taking the square root of a negative number that would otherwise put limits on it, so our domain would simply be the set of all real numbers, R. Inequality notation doesn't really use ∞, so you could just put an R to represent the set. In set notation, we'd write

$\{x\in\re\mathbb{R}\}$

and in interval notation,

$(-\infty,\infty)$

The <em>range</em>, on the other hand, is the set of all possible <em>outputs</em> of a function - here, it's the set of all values f(x) can be. In the case of quadratic equations (equations with an x² term), there will always be some minimum or maximum value limiting the range. Here, we see on the graph that the maximum value for f(x) is 3. The range of the function then includes all values less than or equal to 3. As in inequality, we can say that

$f(x)\leq3$ ,

in set notation:

$\{f(x)\in\mathbb{R}\ |\ f(x)\leq3\}$

(this just means "f(x) is a real number less than or equal to 3")

and in interval notation:

$(-\infty,3]$

8 0

3 years ago

Which expression is equivalent to the one below? 6 ÷ 5A 6:1/5B 5:1/6C 5/6D 30​

Which expression is equivalent to the one below? 6 ÷ 5A 6:1/5B 5:1/6C 5/6D 30