A pebble falls off of a cliff at a height of
784 ft. If the equation for height as a
function of time is
h(t) = -16t2 + initial height where t is time
in seconds and h(t) is height in feet, how
many seconds will it take for the pebble
to hit the ground?

Answers

Answer 1

Answer:

7 seconds

Step-by-step explanation:

You would get 49 from doing -784 divided by -16 then you do the square root of 49 which is 7

ANSWER= 7 seconds

Answer 2

The time taken by the pebble to hit the ground will be = 7 seconds

What is an Algebraic Equation?

Expression we get when operations such as addition , subtraction , multiplication , division , are operated upon on variable and constants.

Equation of height as a function of time = h(t) = - 16 (t^2)

cliff is at a height of = 784 feet

comparing both the above equation , we get

-16 (t^2) = 784

t^2 = 49

t = 7 seconds

The time taken by the pebble to hit the ground will be = 7 seconds

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Find another point in the pattern that passes through the points (0, 4) and (2, 12)

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Answer:

3

Step-by-step explanation:

I need help! What’s the value of c in the equation below?

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Answer:

-4

Step-by-step explanation:

Answer:

A quarter

Step-by-step explanation:

2 to the power of negative four = 0.0625

Multiply this by two to the power of two [four] and your answer is naught point two five [a quarter]

The Points in the table lie on a line. Find the slope of the line.
The slope is —-???

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Answers

Answer:

The slope is 2/5

Step-by-step explanation:

1.) Do (y1-y2)/(x1-x2)

(4-2)-(7-2) which is 2/5

2.) 2/5 is the slope

A customer buys roses and carnations from a florist. The customer pays $1.50 for 2 roses and $2.70 for 3 carnations. How much would the customer pay for 1 rose and 1 carnation?

Answers

Answer:

1.11 for a carnation and 1.33 for a rose

Step-by-step explanation:

you divide 2 and 1.50 and 3 and 2.70 to get the amount for each flower.

Which expression is equivalent to 8(2x + 4)?
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Answers

The answer would be A.
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Anne Kates house is 20c. She had just made a fresh cup of tea (100c). Five minutes after she made her mad scientist nephew came in,stuck a thermometer in the cup and announced that the tea was now only 70c Write the possible equation with asymptotes

Answers

Answer:

The possible equation is; T(t) = 20 + 80·[tex]e^{(-0.094 \cdot t)}[/tex]

The horizontal asymptotes is Lim(t → ∞), T → 20°C

The vertical asymptote is Lim(t → 0) T → 100°C

Step-by-step explanation:

The given parameters are;

The temperature of the house = 20°C

The initial temperature of the tea = 100°C

The temperature of the tea after 5 minutes = 70°C

From Newton's law of cooling, is given as follows;

[tex]T(t) = T_s + (T_0 - T_s) \cdot e^{k \cdot t}[/tex]

[tex]\dfrac{dT}{dt} = -k(T - T_a)[/tex]

Where;

T(t) = The temperature after time, t =

[tex]T_s[/tex] =The room temperature = 20°C

T₀ = The initial temperature of the tea = 100°C

k = Constant

T(5) = 70°C, therefore, we have;

[tex]70 = 20 + (100 - 20) \cdot e^{k \cdot 5}[/tex]

50/80 = [tex]e^{k \cdot 5}[/tex]

5·k = ㏑(5/8)

k = ㏑(5/8)/5 ≈ -0.094

Therefore, the possible equation is given as follows;

T(t) = 20 + 80·[tex]e^{(-0.094 \cdot t)}[/tex]

The asymptotes are Lim(t → ∞), T → 20°C  and Lim(t → 0) T → 100°C

ANSWER THESE AND YOU GET BRAINLIEST OH AND THESE ARE JUST PROBLEMS I MADE FOR YALL
5. Miley had a rope that was 5.5 meters in length. She cut 3 pieces, 1.25 meters each. How long, in meters, was the remaining rope?


6. Isaiah hiked 3 days.


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On Tuesday, he hiked 134miles less than he hiked on Monday

On Wednesday, he hiked 212miles more than he hiked on Tuesday


How many miles did Isaiah hike on Wednesday?

Answers

3.75 meters/ 886 miles

Which of the following is the solution set of the given equation?

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Answers

Answer is -10
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Answer:

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Step-by-step explanation:

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Answers

Answer:

[tex]y= 1500+100x[/tex]

Step-by-step explanation:

Given data

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The price of a T-shirt was $20. It was first increased by 20%. They did not
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Answers

Answer:

First S.P= 20$ + (20/100)×20

=24$

New price = 24- (20/100)×24

=19.2$

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If it was increased to $20 it would originally be $16

Hopefully, this helped

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

Steve's expected times of winning in 12 trials is about 2 times.

What is probability?

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The winning chance of Steve is 20% or 0.2.

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Therefore, If he plays the game 12 times the number of times he is expected to win is,

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Answers

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Step-by-step explanation:

Answer:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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у
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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

C

Step-by-step explanation:

Hope this Helps.

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What is an Absolute value function?

An absolute value function is a function that gives positive value for a number or variable. It has a V shaped graph, it is also called as a modulus function.

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The v shaped curve has a vertex and it can be determined by following method.

The value of the x coordinate is determined by equating the modulus to 0, the point at which the modulus is zero.

-x +7 = 0

Adding -7 to both sides.

-x = -7

x = 7

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y = 0 +4

y = 4

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To know more about Absolute value function

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Which vertex in XYZ corresponds to vertex b in ABC
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Answers

Answer:

C

Step-by-step explanation:

Answer:

C is the correct answer

Step-by-step explanation:

have a good day <3

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