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Verdich [7]
2 years ago
10

Identify the range of the function shown in the graph.​

Mathematics
2 answers:
a_sh-v [17]2 years ago
5 0

Answer:

see below

Step-by-step explanation:

The domain of the function is the possible x values

The domain is all real values since x can be any number

The range of the function is the possible y value

The values of y go from -1 to 1 so

-1 ≤y≤1

Ad libitum [116K]2 years ago
3 0

Answer:

B

Step-by-step explanation:

The range is all values of y. Y goes from -1 to 1. Please mark brainliest.

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The height of a stuntperson jumping off a building that is 20 m high is modeled by the equation h = 20 -57, where t is the time
cupoosta [38]

A stuntman jumping off a 20-m-high building is modeled by the equation h = 20 – 5t2, where t is the time in seconds. A high-speed camera is ready to film him between 15 m and 10 m above the ground. For which interval of time should the camera film him?

Answer:

1\leq t\geq \sqrt{2}

Step-by-step explanation:

Given:

A stuntman jumping off a 20-m-high building is modeled by the equation

h =20-5t^{2}-----------(1)

A high-speed camera is ready to making film between 15 m and 10 m above the ground

when the stuntman is 15m above the ground.

height h = 15m  

Put height value in equation 1

15 =20-5t^{2}

5t^{2} =20-15

5t^{2} =5

t^{2} =1

t =\pm1

We know that the time is always positive, therefore t=1

when the stuntman is 10m above the ground.

height h = 10m  

Put height value in equation 1

10 =20-5t^{2}

5t^{2} =20-10

5t^{2} =10

t^{2} =\frac{10}{5}

t^{2} =2

t=\pm\sqrt{2}

t=\sqrt{2}

Therefore ,time interval of camera film him is 1\leq t\geq \sqrt{2}

7 0
2 years ago
In a class, 4/5 of the students have mathematical instruments. 1/4 of these students have lost their protractors. What fraction
Novay_Z [31]

Answer:

\frac{11}{20}

Step-by-step explanation:

\frac{4}{5} - \frac{1}{4}          <em>Subtract the students who don't have protractors from the students who have mathematical instruments.</em>

\frac{11}{20}

6 0
2 years ago
Read 2 more answers
If Angle 6 is congruent to angle 10 and Angle 5 is congruent to angle 7, which describes all the lines that must be parallel? Li
Nina [5.8K]

Answer:

Third option: Lines "r" and "s" and lines "t" and "u" must be parallel.

Step-by-step explanation:

The missing figure is attached.

You need to remember that:

1- A Transversal is defined as a line that intersects two or more lines.

2- When a transversal cut two parallel lines, several angles are formed, which are grouped in pairs. Some of them are:

a. Vertical angles: are those pairs of angles that share the same vertex and are opposite to each other. These angles are congruent.

b. Corresponding angles: are those  pairs of non-adjacent angles located on the same side of the transversal and outside the parallel lines. They are congruent.

In this case, you can identify in the figure that:

 \angle 6 and \angle 10 are Corresponding angles.

\angle5 and \angle 7 are Vertical angles.

Therefore, based on the explained before, you can conclude that lines "r" and "s" and lines "t" and "u", must be parallel.

7 0
2 years ago
Read 2 more answers
To aid in sea navigation, Little Gull Island Lighthouse shines a light from a height of 91 feet above sea level with an unknown
algol13

Answer:

\approx 6^\circ

Step-by-step explanation:

Given that:

Little Gull Island Lighthouse shines a light from a height of 91 feet above the sea level.

The angle of depression is unknown.

Distance of the point at sea surface from the base of lighthouse is 865 ft.

This situation can be modeled or can be represented as the figure attached in  the answer area.

The situation can be represented by a right angled \triangle ABC in which we are given the base and the height of the triangle.

And we have to find the value of \angle BAD \ or \ \angle C (Because they are the internal vertically opposite angles).

Using tangent ratio:

tan\theta = \dfrac{Perpendicular}{Base}

tanC = \dfrac{AC}{BC}\\\Rightarrow tanC = \dfrac{91}{865}\\\Rightarrow tanC = 0.105\\\Rightarrow \angle C \approx 6^\circ

Therefore, the angle of depression is: \approx 6^\circ

7 0
2 years ago
A business purchased for $650,000 in 1994 is sold in 1997 for $850,000. What is the annual rate of return for this investment?
Schach [20]
The annual rat of return for this investment would be
850000=650000*(1+(r/1))^(1*3)
4 0
2 years ago
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