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irakobra [83]
3 years ago
13

The function h(t)=-4.92t^2+17.69t+575 is used to model an object being tossed from a tall building, where h(t) is the height in

meters and t is the time in seconds. Rounded to the nearest hundredth, what are the domain and range? domain: [0, 12.76] range: [1.8, 590.9] domain: [1.80,1276] range: [1.8, 590.9] domain: [1.80,12.76] range: [0, 590.9] domain: [0, 12.76] range: [0, 590.9]
Mathematics
2 answers:
nikklg [1K]3 years ago
5 0
We have the following equation:
<span> h(t)=-4.92t^2+17.69t+575

</span> For the domain we have:
<span> </span>We match zero:
 -4.92t ^ 2 + 17.69t + 575 = 0
 We look for the roots:
 t1 = -9.16
 t2 = 12.76
 We are left with the positive root, so the domain is:
 [0, 12.76]

 For the range we have:
 We derive the function:
 h '(t) = - 9.84t + 17.69
 We equal zero and clear t:
 -9.84t + 17.69 = 0
 t = 17.69 / 9.84
 t = 1.80
 We evaluate the time in which it reaches the maximum height in the function:
 h (1.80) = - 4.92 * (1.80) ^ 2 + 17.69 * (1.80) +575
 h (1.80) = 590.90
 Therefore, the range is given by:
 [0, 590.9]

 Answer:
 the domain and range are:
 
domain: [0, 12.76] range: [0, 590.9]
olya-2409 [2.1K]3 years ago
4 0

Answer:

The answer is D.................

Step-by-step explanation:


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Correct answers only please!
MrRissso [65]

Answer:

23.6°

Step-by-step explanation:

In this question we have to use some trigonometry to work out angle XVW. Since we are working out angles all of the trigonometric functions will have to be to the ⁻¹. The first thing we need to identify is will formula will we use out of the following:

Sin⁻¹ = Opposite ÷ Hypotenuse

Tan⁻¹ = Opposite ÷ Adjacent

Cos⁻¹ = Adjacent ÷ Hypotenuse

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10 = Hypotenuse

4 = Opposite

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We know which formula to use because the length won't be in the triangle for example we will be using the Sin triangle because we don't have an adjacent. If we don't have an adjacent then the other formula's won't work.

Now we substitute in the values to find the value of angle XVW

Sin⁻¹ = Opposite ÷ Hypotenuse

Sin⁻¹ = 4 ÷ 10

The value of angle XVW is 23.57817848

6 0
2 years ago
Two student clubs were selling t-shirts and school notebooks to raise money for an upcoming school event. In the first few minut
mixas84 [53]

Using a system of equations, it is found that the cost of a t-shirt is of $3 and the cost of a notebook is of $5.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

The variables are given as follows:

  • Variable x: Cost of a t-shirt.
  • Variable y: Cost of a notebook.

Considering the costs of the purchases of Clubs A and B, the matrices give the equations as follows:

  • 3x + 2y = 19.
  • x + y = 8 -> y = (8 - x).

Hence, replacing the second equation into the first:

3x + 2(8 - x) = 19

x = 3.

y = 8 - x = 8 - 3 = 5.

The cost of a t-shirt is of $3 and the cost of a notebook is of $5.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

7 0
2 years ago
HELP YALL HELP PLEASE ​
kumpel [21]

Answer:

66 ur welcome

7 0
2 years ago
What is an equation of the line that passes through the points (4,-1) and (8,5)?
fiasKO [112]

Answer:

y=3/2x-7

Step-by-step explanation:

the equation of the line for slope-intercept form is y=mx+b, where  m is the slope and b is the y intercept.

we are given two points: (4,-1) and (8,5)

the equation for slope is (y2-y1)/(x2-x1)

label the points:

x1=4

y1=-1

x2=8

y2=5

now substitute into the equation:

m=(5--1)/(8-4)

m=6/4

m=3/2

the slope of the line is 3/2

here is our equation so far:

y=3/2x+b

we need to find b

since the equation will pass through the points, we can substitute either one into the equation to find b

let's use (4,-1) as an example

substitute into the equation

-1=3/2(4)+b

-1=6+b

-7=b

the y intercept is -7

so the equation is y=3/2x-7

hope this helps!

8 0
2 years ago
A museum has a model of an Egyptian pyramid. It has a rectangular base that is 10 feet by 8 feet, with a height of 12 feet.
FrozenT [24]

Answer: 320ft^3

Step-by-step explanation:

Assuming the pyramid is just a normal rectangular pyramid and isn't made of stairs...

10x8x12/3 = 320 ft^3

7 0
3 years ago
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