a penny is dropped from a height of 144 ft. Calculate the time between when the rock was dropped and when it landed. If we choose "down" as positive and ignore air friction, the function is h(t) = 16t^2 - 144.
answers
t = 9seconds
t = 3 seconds
t = 18 seconds
t = 10 seconds
Answer:
The time of fall is 9 seconds
Step-by-step explanation:
We are asked to find the time between when the penny was dropped and when it landed.
To do this, we have to start with what we are given and see how we can relate it to find what we are looking for.
From the problem, we are given the equation which represents the height which the penny travels as it falls. It is given by
[tex]h(t) = 16t^2 - 144.[/tex] ----------- equation 1
in addition to that, we are also given that h = 144ft at the end of the fall; that is, where t = t max, and h = hmax
Hence, it is safe to say that at the end of the fall, that the heigh is no more changing. This means that dh/dt = 0
We can now differentiate equation 1 above to get
h max = 16t - 0 ------------- equation 2
recall that h max = 144
plugging the value of h max into equation 2, we have
144 = 16t
t = 9 seconds
Therefore the time of fall is 9 seconds
Answer:
t= 3 seconds
Step-by-step explanation:
I took the quiz and this is the answer
The lifespans of meerkats in a particular zoo are normally distributed. The average meerkat lives 10.410.410, point, 4 years; the standard deviation is 1.91.91, point, 9 years.
Use the empirical rule (68-95-99.7\%)(68−95−99.7%)left parenthesis, 68, minus, 95, minus, 99, point, 7, percent, right parenthesis to estimate the probability of a meerkat living less than 16.116.116, point, 1 years.
Answer:
99.85%
Step-by-step explanation:
The lifespans of meerkats in a particular zoo are normally distributed. The average meerkat lives 10.4 years; the standard deviation is 1.9 years.
Use the empirical rule (68-95-99.7%) to estimate the probability of a meerkat living less than 16.1 years.
Solution:
The empirical rule states that for a normal distribution most of the data fall within three standard deviations (σ) of the mean (µ). That is 68% of the data falls within the first standard deviation (µ ± σ), 95% falls within the first two standard deviations (µ ± 2σ), and 99.7% falls within the first three standard deviations (µ ± 3σ).
Therefore:
68% falls within (10.4 ± 1.9). 68% falls within 8.5 years to 12.3 years
95% falls within (10.4 ± 2*1.9). 95% falls within 6.6 years to 14.2 years
99.7% falls within (10.4 ± 3*1.9). 68% falls within 4.7 years to 16.1 years
Probability of a meerkat living less than 16.1 years = 100% - (100% - 99.7%)/2 = 100% - 0.15% = 99.85%
Answer:
13.5%
Step-by-step explanation:
4 What is the slope of the line represented by the
table of values below?
Answer:
(c) or 10 is the answer
Step-by-step explanation:
In order to find slope you have to follow the formula
(y2-y1) / (x2-x1)
That would give you the slope which in this case is 10.
HELP ME PLEASE!! ILL MARK BRAINLIEST FOR THE FIRST TO AMSWER ! BUT THE ANSWER AS TI BE RELATED TO THE QUESTION CAUSE IF NOT I WOMT MARK U BRAINLIEST !
Jimmy is comparing prices of bottled drinks. He finds one bottle of water that costs $1.65 and contains 11 ounces. He then finds one bottle of soda that costs $2.52 and contains 14 ounces. Which bottle costs less per ounce?
Answer:
The bottle that costs less per ounce is the 11 ounce
Step-by-step explanation:
First you have to divide each ounce by the cost to find out how much each ounce costs.
1.65 divided by 11 is 0.15 and 2.52 divided by 14 is 0.18.
Hope this helps!
State the measure of an angle whose complement is 23o
Answer: 67 degrees
Step-by-step explanation:
Complementary angles are angles that add up to 90 degrees. To find the complement of an angle, subtract it from 90. 90-23=67.
Which of the following shapes describes the 2d figure formed by slicing parallel to the base of a triangular prism
a. rectangle
b. triangle
c. square.
d.trapizoid
Answer:
c. square.
Step-by-step explanation:
squares have 4 parallel sides so if you cut it in half you will still be parallel
The 2D figure formed by slicing parallel to the base of a triangular prism is option B. Triangle.
What is a Triangular Prism?Triangular prism is the three dimensional figure which consists of two triangular shaped bases and three rectangular lateral faces.
WE have to find the 2d figure formed by slicing parallel to the base of a triangular prism.
We know that base of a triangular prism is triangle.
So, when we slice a parallel plane to the base of the triangular prism, the resulting 2D shape will also be a triangle.
Hence the 2D shape formed by slicing parallel to the base of a triangular prism is triangle.
To learn more about Triangular Prism, click on the link given below :
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The temperature on the moon can vary from -172 to -126 degrees celsius. Find the difference between the maximum and minimum temperatures. Write with explanation PLEASE!!!
Given:
The temperature on the moon can vary from -172 to -126 degrees Celsius.
To find:
The difference between the maximum and minimum temperatures.
Solution:
It is given that the temperature on the moon can vary from -172 to -126 degrees Celsius.
Since [tex]-172 <-126[/tex], therefore the minimum temperature is -172 and the maximum temperature is -126.
The difference between the maximum and minimum temperatures is:
Difference = Maximum temperature - Minimum temperature
[tex]\text{Difference}=-126-(-172)[/tex]
[tex]\text{Difference}=-126+172[/tex]
[tex]\text{Difference}=46[/tex]
Therefore, the difference between the maximum and minimum temperatures is 46 degrees Celsius.
What's the circumference of a circle with a radius of 10 inches
Answer:
5
Step-by-step explanation:
5
Mr. Davis is a gym teacher. Yesterday, he recorded how many laps each of his students ran
around the gym during class. This box plot shows the results
What percent of students ran 10 or more laps?
55.55% of the students ran 10 or more laps.
PercentagesAccording to the data in the box, to determine what percent of students ran 10 or more laps, considering the line drawn, the following calculation must be made:
14 - 5 = 9100 / 9 = 11.1111.11 x 5 = 55.55Therefore, 55.55% of the students ran 10 or more laps.
Learn more about percentages in https://brainly.com/question/26080842
Answer:
THE CORRECT ANSWER IS: 25%
Step-by-step explanation:
the locus of points in a plane
We're talking about a set of points already in a plane, so consider the x-y plane, in which the equations y = 5 and y = -3 correspond to vertical lines. All the points equidistant from both lines would fall on the vertical line right in the middle of y = 5 and y = -3, which we can get by taking the average:
(5 + (-3)) / 2 = 2 / 2 = 1
So this locus is the single vertical line y = 1.
Answer:
y = 1.
Step-by-step explanation:
We're talking about a set of points already in a plane, so consider the x-y plane, in which the equations y = 5 and y = -3 correspond to vertical lines. All the points equidistant from both lines would fall on the vertical line right in the middle of y = 5 and y = -3, which we can get by taking the average:
(5 + (-3)) / 2 = 2 / 2 = 1
So this locus is the single vertical line y = 1.
Given tan θ = 7/24, and θ terminates in Quadrant III, determine the value of cos θ.
Answer:
-24/25
Step-by-step explanation:
Because it is in quadrant 3, cosine is negative. Hypotenuse=25, Adj=-24, Opp, -7. Cos=Adj/Hyp. -24/25
It is Given that tan θ = 7/24, and θ terminates in Quadrant III, Thus the value of cos θ is -24/25.
What are trigonometric identities?Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
Given tan θ = 7/24, and θ terminates in Quadrant III,
we want to determine the value of cos θ.
Because it is in quadrant 3, cosine is negative.
Hypotenuse = 25, Adjcent = -24, Opposite = -7.
Cos θ = Adjcent /Hypotenuse .
= -24/25
Learn more about trigonometry;
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Let f(x) = 7x² + 19x + 21 and g(x) = 4x² + 4x + 3 . Identify the solution(s) of f(x) = g(x).
Answer:
-3 and -2
Step-by-step explanation:
7x² + 19x + 21 = 4x² + 4x + 3
combine like terms:
3x² + 15x + 18 = 0
3(x² + 5x + 6) = 0
(x + 3)(x + 2) = 0
x = -3
x = -2
y = x2 + 12x + 30
8x − y
can someone do this and explain how you did it with the formula and stuff.
Step-by-step explanation:
Chop it into shapes you know how to solve with:
Rectangle with dementions 6m x 3m A=18m^2
Rectangle with dementions 12m x (8-3)m A=60m^2
Rectangle with dementions 2m x 3m A=6m^2
total area= 18+60+6=84m^2
Peremeter:
12+6+2+(12-6-2)+3+3+8+8
=12+12+3+3+8+8
=24+6+16
=30+16
=46m
for brainiest:):):):):):):)
Answer:
15 = 0.025
16= 3 years
Step-by-step explanation:
15.
I=prt
15= (200)(r)(3)
200(3) = 600r
15 divided by 600r = 40 (0.025)
------------------------------------------------------
16.
I=prt
[tex]t= \frac{I}{Ixp} \\t= \frac{90}{0.05x600} \\t= 3[/tex]
t= 3 years
John drank 12 oz of soda. If this was 60% of the soda in the bottle, how many ounces of soda were in the full bottle?
Answer:
20oz
Step-by-step explanation:
60%=12oz
this can be simplified into 1%
in order to find 1% divide by 60
60%/60=1%
in order to find out how much 1% is, divide 12oz by the number used to divide the percent
12/60=0.2
so 0.2=1% and we want to know 100% so multiply by 100
0.2x100=20
1%x100=100%
so 20oz=100% of the bottle
Hal put $3000 into a savings account that earns 6% interest. After 6 years, what will be the total amount of money in his savings account?
Explain for BRAINLIST.
It would take 150 minutes to fill a swimming pool using the water from 5 taps.
A) how many minutes will it take to fill the pool if only 3 of the taps are used? ______ minutes
B) an assumption being made in my working is that all the taps are flowing the same__ ___
Answer: points for points
Step-by-step explanation:
Hi t sure what to do?
Monique went on a hike in the hills. The table
displays the times and distances from the beginning to
the end of the hike.
If Monique hiked at a constant pace, which equation
shows the relationship between the length of the time
she hiked and the distance she hiked?
A. d= 6t
B. d = 4.8t
C. d= 12.5t
D. d= 0.087
Answer:
I believe it is A, d= 6t
It is an odd question though.
Given that h varies inversely with respect to g, and that h= -24 when g= 3, write an
equation that describes the relationship between h and g. Then find h when g=-1,
Answer:
h = 72
Step-by-step explanation:
Given that h varies inversely with g then the equation relating them is
h = [tex]\frac{k}{g}[/tex] ← k is the constant of variation
To find k use the condition h = - 24 when g = 3 , then
- 24 = [tex]\frac{k}{3}[/tex] ( multiply both sides by 3 )
- 72 = k
h = - [tex]\frac{72}{g}[/tex] ← equation of variation
When g = - 1 , then
h = - [tex]\frac{72}{-1}[/tex] = 72
What are the domain and range of h(x) = 3|x|? A. domain: all real numbers; range: y ≤ 0 B. domain: x ≥ 0; range: all real numbers C. domain: x ≤ 0; range: all real numbers D. domain: all real numbers; range: y ≥ 0
Help! plss
Answer:
D
Step-by-step explanation:
What is the slope of the line shown below?
Answer:
2
Step-by-step explanation:
ΔX = -1 – 2 = -3
ΔY = -4 – 2 = -6
-6 divided by -3=2
Hope it helps ;)
Step-by-step explanation:
[tex]slope = \frac{y2 -y1 }{x2 - x1} \\ = \frac{ - 4 - 2}{ - 1 - 2} \\ = \frac{ - 6}{ - 3} \\ = 2[/tex]
even if x₁ = -1, y₁ = -4 and x₂ = 2, y₂= 2 the result remains the same.
#CMIIWThe amount Sandy earns from babysitting is proportional to the number of hours she works. The graph represents this proportional relationship. A. Explain what the point (0, 0) represents in the context of this problem. Write your answer in the space provided.
PLEASE HELP
Answer:
The amount Sandy earns from babysitting is proportional to the number of hours she works. The graph represents this proportional relationship.
Step-by-step explanation:
Answer:
The student explains that the ordered pair (0, 0) means that when Sandy
babysits for zero hours, she earns zero dollars
Step-by-step explanation:
Solve logx^8 = -3
I need help trying to solve this ;-;
Answer:
ans: x= 1/2
Step-by-step explanation:
What is the solution to the equation startroot 2n+28 endroot -4 startroot n endroot =0 n=2 n=4 n=7 n=14
Answer:
C
Step-by-step explanation:
EDGE
A doctor has an annual income of $152,125. The income tax that doctor has to pay is 6%. What is the amount of income tax in dollars and cents that the doctor has to pay?
9514 1404 393
Answer:
$9,127.50
Step-by-step explanation:
6% of $152,125 is ...
0.06 × $152,125 = $9,127.50
The doctor has to pay $9,127.50 in income tax.
Please help and NO LINKS I WILL REPORT YOU IF ITS A LINK
Emi computes the mean and variance for the population data set 87, 46, 90, 78, and 89. She finds the mean is 78. Her steps for finding the variance are shown below.
What is the first error she made in computing the variance?
A.) Emi failed to find the difference of 89 - 78 correctly.
B.) Emi divided by N - 1 instead of N.
C.) Emi evaluated (46 - 78)2 as -(32)2.
D.) Emi forgot to take the square root of -135.6.
Answer: Choice C) Emi evaluated (46-78)^2 as -(32)^2
Explanation:
The "46-78" is inside the parenthesis, so the result must also stay in the parenthesis. This means (46-78)^2 would become (-32)^2. The negative must be inside the parenthesis as well. Squaring the "-32" leads to a positive result, so every item being added is positive after the squaring operations are applied.
HELP GEOMETRY PLEASE !!!!
Answer:
∅ = 37°
Step-by-step explanation:
cos ∅ = adj/hyp = 4/5 = 0.8
∅ = 37°
If ava makes $15 in 2 hours, what is her rate of pay?
Answer:
$7.50 per hour
Step-by-step explanation:
15/2=7.5
Answer:
she makes $ 7.50 an hour
Step-by-step explanation:
mark brainliest