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Sedbober [7]
4 years ago
10

Evaluate f(t)=-2t^2+ 1 for f(-3). please help

Mathematics
1 answer:
VARVARA [1.3K]4 years ago
5 0

Answer:

-17

Step-by-step explanation:

f(t)=-2t^2+ 1

f(-3)=-2*-3^2+1

f(-3)=-2*9+1

f(-3)=-18+1

f(-3)=-17

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The water level in a lake was 22 inches below normal at the beginning of March. The water level decreased by 3 1/6 inches in Mar
Vinvika [58]
At the beginning it was 22 inches below normal (-22).
Then it decreased by 3 1/6 (-19/6).
Then increased by 1 6/7 (+13/7)

-22 - 19/6 + 13/7
-924/42 - 133/42 + 78/42
-1057/42 + 78/42
-979/42
-23 13/42

It was 23 13/42 inches below normal after April.
8 0
4 years ago
A plane traveling with the wind travels 900 miles in 5 hours. the return trip is against the wind and takes 9 hours. find the ra
Aneli [31]

Using the relation between velocity, distance and time, it is found that:

  • The rate of the plane in still air is of 140 mph.
  • The rate of the wind is of 40 mph.

<h3>What is the relation between velocity, distance and time?</h3>

Velocity is <u>distance divided by time</u>, that is:

v = \frac{d}{t}

A plane traveling with the wind travels 900 miles in 5 hours, hence:

v_a + v_w = \frac{900}{5}

v_a + v_w = 180

The return trip is against the wind and takes 9 hours, hence:

v_a - v_w = \frac{900}{9}

v_a - v_w = 100

From the first equation, we have that:

v_w = 180 - v_a{/tex]Replacing on the second:[tex]v_a - v_w = 100

v_a - 180 + v_a = 100

2v_a = 280

v_a = 140

[tex]v_w = 180 - 140 = 40{/tex]

Hence:

  • The rate of the plane in still air is of 140 mph.
  • The rate of the wind is of 40 mph.

More can be learned about the relation between velocity, distance and time at brainly.com/question/24316569

4 0
2 years ago
The Columbia Tower in Seattle is 954 feet tall. The Seafirst Tower is T feet tall and d feet away from the Colombia Tower. Find
Blababa [14]
You have to include a drawing that relates the distace between de towers and some angles.

I will use one that gives the angle from the base of Seafirst Tower to the top of Columbia tower as 53 degress.

This lets you calculate the distance between the towers, d, as

tan(53) = 954 / d => d = 954 / tan(53) = 718.89ft

The same drawing gives the angle from the the base of the Columbtia tower to the top of the Seafirst Tower as 27 degrees.

Tnen, tan(27) = height / d => height = d*tan(27) = 718.89*tan(27) = 366.29 ft

Answer: 366.29 ft


6 0
3 years ago
3. Evaluate the expression if a=3 and b=4.<br> a) 2+ab =<br> b) 3a-7=<br> 3(a-b)=
olasank [31]

Answer:

a=14

b=2

c=3

Step-by-step explanation:

a) 2+ab= 2+(3*4)

= 2+12

= 14

3 0
3 years ago
I need help in this ( ̄▽ ̄)
murzikaleks [220]

Answer:

Step-by-step explanation:

a=-2.9

b=-2 5/8=-21/8=-2.625

c=-7/3=-2.333333

6 0
3 years ago
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