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2 years ago

PLEASE HELP!!!! WILL GIVE BRAINLIEST!!!!!!!

Mathematics

2 answers:

azamat2 years ago

7 0

f(x) = 0.5x - money per ticket

g(x) = 8x - tickets per hour

We replace g(x) with its value (8x).

f(g(x)) = f(8x)

We replace the x in f(x) with 8x.

f(8x) = 0,5 × 8x

f(8x) = 4x

⇒ f(g(x)) = 4x

Correct answer:

a. f(g(x)) = 4x, which represents the money Aurora made in dollars per hour

statuscvo [17]2 years ago

6 0

Composing functions means to use the output of the inner function as the input for the outer function.

In this case, the inner function is g(x)=8x, which means that Aurora sells 8 tickets per hour.

So, if we give 8x (number of tickets sold) as input to the function f(x)=0.5x, we'll get

$f(x)=0.5x \implies f(8x)=0.5(8x)=4x$

Since the function f tells us how much Aurora gains per ticket, f(g(x)) basically means:

Aurora gains 0.5 dollars per ticket, and she sells 8 ticket per hour, so she gains 4 dollars per hour.

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A kid at the pool goes to jump from the high diving board. He climbs the stairs 3 feet, but he has to wait for the kid in front

beks73 [17]

Answer:

Probably 5 feet

Step-by-step explanation:

Since the diving board is 5 feet then it is 10 feet the it equals 5 feet if you half it

Sorry if wrong and hope this helps

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1 year ago

Researchers studying the effectiveness of a diet on heart disease divided the study's participants into two groups—those with Ty

madreJ [45]

Answer:

The correct option is A) Nominal.

Step-by-step explanation:

Consider the provided information.

Researchers studying the effectiveness of a diet on heart disease divided the study's participants into two groups those with Type A personalities and those with Type B personalities.

Type of measurement scales:

Ratio: We can compare quantity as a multiple of one another.

For example: A father's weight is twice to his son.

Interval: Interval is the measurement scale in which each of the position is equidistant from another.

Level of excitement, rated from 1 to 5.

Ordinal: Ordinal measurement scale in which sets are in order by their position.

For example: First, second, third in a competition.

Nominal: Nominal data are objects distinguished by a straightforward scheme of naming.

For example: The employees in a office can be male or female.

Now, from the above definition it is clear that the type of measurement scale which can depict the scenario is Nominal.

Hence, the correct option is A) Nominal.

3 0

1 year ago

Points H and F lie on circle c What is the length of line segment GH?

Nina [5.8K]

Answer:

6 units

Step-by-step explanation:

Given: Points H and F lie on circle with center C. EG = 12, EC = 9 and ∠GEC = 90°.

To find: Length of GH.

Sol: EC = CH = 9 (Radius of the same circle are equal)

Now, GC = GH + CH

GC = GH + 9

Now In ΔEGC, using pythagoras theorem,

$(Hypotenuse)^{2} = (Base)^{2} +(Altitude)^{2}$ ......(ΔEGC is a right triangle)

$(GC)^{2} = (GE)^{2} +(EC)^{2}$

$(GH + 9)^{2} = (9)^{2} +(12)^{2}$

$(GH )^{2} + (9)^{2} + 18GH = 81 + 144$

$(GH )^{2} + 81 + 18GH = 81 + 144$

$(GH )^{2} + 18GH = 144$

Now, Let GH = x

$x^{2} +18x = 144$

On rearranging,

$x^{2} +18 x - 144 = 0$

$x^{2} - 6x +24x + 144 = 0$

$x (x-6) + 24 (x - 6) =0$

$(x - 6) (x + 24) = 0$

So x = 6 and x = - 24

∵ x cannot be - 24 as it will not satisfy the property of right triangle.

Therefore, the length of line segment GH = 6 units. so, Option (D) is the correct answer.

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1 year ago

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Dennis_Churaev [7]

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Megan consumed 3.5 gallons of water in one day. How many milliliters are equal to 3.5 gallons, if 1 liter = 1,000 milliliters an

baherus [9]

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13.2475 * 1000 = 13,247.5 milliliters

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2 years ago

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