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Luda [366]
3 years ago
13

What is the domain for the graph below using the interval notation?

Mathematics
1 answer:
azamat3 years ago
6 0

Answer:

what grade

Step-by-step explanation:

so I can see the answer

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A rollercoaster ride reaches a height of 80 feet before it sharply drops. The height above the ground of the rollercoaster car d
Tasya [4]

Answer:

Therefore the car takes 2 s to reach a minimum height from the ground before rising again.

Step-by-step explanation:

Given that a roller coaster ride reach a height of 80 feet.

The height above the ground of the roller coaster is modeled by the function

h(t)=10t²-40t+80

where t is measured in second.

h(t)=10t²-40t+80

Differentiating with respect to t

h'(t)= 10(2t)-40

⇒h'(t)=20t-40

To find the minimum height we set h'(t)=0

∴20t-40=0

⇒20t =40

⇒t=2

The height of the roller coaster minimum when t=2 s.

The minimum height of of the roller coaster is

h(2)= 10(2)²-40.2+80

     =40-80+80

     =40 feet.

Therefore the car takes 2 s to reach a minimum height from the ground before rising again.

8 0
3 years ago
Please Help Me
ludmilkaskok [199]

Given:

The point (9,-12) is on terminal side of angle theta in standard position.

To find:

The exact value of each of the six trigonometric functions of theta.

Solution:

The given point is (9,-12). Here, x-coordinate is positive and y-coordinate is negative. So, the point lies in 4th quadrant and only cos and sec are positive in 4th quadrant.

We know that,

r=\sqrt{x^2+y^2}

r=\sqrt{9^2+(-12)^2}

r=\sqrt{81+144}

r=\sqrt{225}

r=15

Now,

\sin \theta=\dfrac{y}{r}=\dfrac{-12}{15}=-\dfrac{4}{5}

\cos \theta=\dfrac{x}{r}=\dfrac{9}{15}=\dfrac{3}{5}

\tan \theta=\dfrac{y}{x}=\dfrac{-12}{9}=-\dfrac{4}{3}

\cot \theta=\dfrac{1}{\tan \theta}=-\dfrac{3}{4}

\text{cosec} \theta=\dfrac{1}{\sin \theta}=-\dfrac{5}{4}

\sec \theta=\dfrac{1}{\cos \theta}=\dfrac{5}{3}

Therefore, the values of six trigonometric functions of theta are \sin \theta=-\dfrac{4}{5},\cos \theta=\dfrac{3}{5},\tan \theta=-\dfrac{4}{3},\cot \theta=-\dfrac{3}{4},\text{cosec} \theta=-\dfrac{5}{4},\sec \theta=\dfrac{5}{3}.

6 0
4 years ago
Platelets are responsible for​
xxTIMURxx [149]

Answer:

The principal function of platelets is to prevent bleeding. Red blood cells are the most numerous blood cell, about 5,000,000 per microliter. Red blood cells make up about 40% of our total blood volume, a measure called the hematocrit

7 0
3 years ago
A herd of zebra currently has 45 members. Based on the available resources, biologists estimate that the size of the herd will i
Masja [62]
In this case, the zebra growth will increase 7% every year which means the growth will increase every year since its count from total population.  When there is increased in growth, that will make the graph not linear. 
With x-axis represent year and y-axis represent number of zebras, the graph will quadratic graph ( U-shape)
7 0
3 years ago
3( m - 1) = 5m +3 - 2m<br> Solve pls
gizmo_the_mogwai [7]

Answer:

it's something like 6 or m=6

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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