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3 years ago

H(t)=-16t^{2}+100t+10 find the domain and range. please

Mathematics

1 answer:

RSB [31]3 years ago

3 0

Answer:

Step-by-step explanation:

The graph of this function is that of a parabola that opens down (due to the negative coefficient of t^2). The axis of symmetry is

-b -100

x = --------- = ----------- = 50/16 = 25/8.

2a 2(-16)

The y value of the vertex is h(25/8) = -16(25/8)^2 + 100(25/8) + 10, or 166/25.

The largest value this function can take on is 166/25. Thus, the range is

(-infinity, 166/25).

Since the given function is a polynomial, the domain consists of all real numbers.

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The ABC Company has a net income of $56,000, assets at the beginning of the year are $263,000 and assets at the end of the year

aleksandr82 [10.1K]

Answer:

19.4 %

Step-by-step explanation:

The formula for<em> return on assets</em> (ROA) is

ROA = Net income /Total assets × 100 %

Since assets vary, we use the <em>average</em> of the total assets over the period.

<em>Calculate the average total assets</em>

At beginning of year, total assets = $263 000

At end of year, total assets = $313 000

Average = (313 000 + 263 000)/2

Average = 576 000/2

Average = $288 000

===============

<em>Calculate the ROA</em>

Net income = $56 000

ROA = 56 000/288 000 × 100 %

ROA = 0.194 × 100 %

ROA = 19.4 %

The company’s return on assets is 19.4 %.

4 0

3 years ago

Read 2 more answers

The distance between earth and moon is 384000000 m. this distance can be expressed as ____m

zalisa [80]

This distance can be expressed as 3.84× $10^{8}$ m.

What is distance with example?

Distance is a scalar quantity.
The distance of an object can be defined as the complete path travelled by an object.

Given the distance between the earth and the moon is 384000km

Representing in exponential notation,

=384000×1000m [∵1km=1000m]

=384× $10^{6}$ m

=3.84× $10^{8}$ m

Learn more about distance

brainly.com/question/22698433

#SPJ4

<u>The correct question is -</u>

The distance between the Earth and the moon is approximately 384000 km. this distance can be expressed as ____m.

5 0

2 years ago

A pool can be filled bye one pipe in 10 hours and by a second pipe in 15 hours. How long will it take using both pipes to fill t

forsale [732]

Answer:

it will take 25 hours

Step-by-step explanation: add 10 and 15

4 0

3 years ago

The hypotenuse of a right triangle measures 16 cm and one of its legs measures 9 cm. Find the measure of the other leg. If neces

Vesnalui [34]

$\sf\huge\underline{\star Solution:-}$

<h3><u>Given that</u>:</h3>

Hypotenuse of a right triangle = $\sf\blue{16cm.}$
One side (leg) = $\sf\blue{9cm.}$

Measure of another side(leg).

<h3><u>Solution</u>:-</h3>

$\rightarrow$ As we know that,

$\sf{A^2 +B^2 \:=\: C^2}$ (Pythagoras Theorem)

So, using this formula we can find measure of another side(leg).

$\rightarrow$ $\sf{A^2 +B^2 \:=\: C^2}$ (putting the value of both given side of triangle)

Here I am putting the value of hypotenuse in C because it is the longest side of triangle.

$\rightarrow$ $\sf{9^2 +B^2 \:=\: 16^2}$

$\rightarrow$ $\sf{81 +B^2 \:=\: 256}$

$\rightarrow$ $\sf{B^2 \:=\: 256-81}$

$\rightarrow$ $\sf{B^2 \:=\: 175}$

$\rightarrow$ $\sf{B \:=\: \sqrt{175}}$

$\rightarrow$ $\sf{B\:=\: 13.22(approx)}$

Therefore, measure of another side (leg) of the triangle = $\sf\purple{ 13.22(approx).}$

____________________________________

Hope it helps you:)

6 0

2 years ago

Write an equation in slope-intercept form of the line

Blizzard [7]

Answer:

y=-6x+42

Step-by-step explanation:

answer is able

8 0

3 years ago