Question 19
A quarter is dropped from the roof of a building with a height of 80 m. The following equation can be used to determine the velocity, v, in
meters per second, of an object when it hits the ground.
V= √2x9.8 xh, where h is the height of the object from the ground
What is the velocity of the quarter as it hits the ground? Round your answer to the nearest tenth.
meters/sec
Answers
The velocity of the quarter when it hits the ground is 39.6 meters per second.
A quarter is dropped from the roof of a building with a height of 80 meters. The following equation can be used to determine the velocity, v, in meters per second, of an object.
V= √(2×9.8×h)
Here, the variable "h" denotes the distance travelled by the quarter during the free-fall. We need to find out the velocity of the quarter when it hits the ground. The quarter will cover a distance equal to the height of the building when it hits the ground.
V = √(2×9.8×h)
V = √(2×9.8×80)
V = √1,568
V = 39.6
Hence, the velocity of the quarter when it hits the ground is 39.6 meters per second.
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Related Questions
A particle moves along the x-axis so that at time t> 0 its position is given by x(t) = 3t^3 -27t^2 + 72t. Determine all intervals when the speed of the particle is decreasing.
Answers
The time interval when the speed is decreasing 0< t<3
What is instatenous speed?Instatenous speed is the speed of a object in motion at any given moment of time.
When the speed starts deceasing the instatenous acceleration dv/dt<0
differentiating the distance with time with second order
dv/dt= d^2x/dt^2
dv/dt= 18t- 54
dv/dt<0
18t-54<0
18t<54
t<3
Therefore the time interval when the speed start deceasing is 0 to 2
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if CD = 6.6 cm, DE = 3.4 cm, CE = 4.2 cm, and BC = 5.25 cm, what is the length of AC, the the nearest hundredth of a centimeter? 1. 2.70 2. 3.34 3. 5.28 4. 8.25
Answers
The value of length of AC is,
⇒ AC = 8.25
We have to given that;
CD = 6.6 cm, DE = 3.4 cm, CE = 4.2 cm, and BC = 5.25 cm
Now, We can formulate;
BC / AC = EC / CD
Substitute the values we get;
5.25 / AC = 4.2 / 6.6
Solve for AC;
5.25 x 6.6 / 4.2 = AC
AC = 8.25
Thus, The value of length of AC is,
⇒ AC = 8.25
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Which of the following equations represents a proportional relationship?
A: y = 3x
B: y = 1/2x + 1
C: y = x/3 + 4
D: y = 2/5 - 5
Answers
Answer:
a
Step-by-step explanation:
y=3x
thus, a proportional relationship equation is y=kx .Where k is constant
In Table 12.1, which of these spores are characteristic of Penicillium?
A) 1 and 2
B) 3 and 4
C) 2 and 6
D) 1 and 4
E) 4 and 6
Answers
To identify which spores are characteristic of Penicillium, we need to compare the spore descriptions with the known characteristics of Penicillium. The spores characteristic of Penicillium are option D) 1 and 4.
In Table 12.1, spore characteristics are listed for different organisms. To identify which spores are characteristic of Penicillium, we need to compare the spore descriptions with the known characteristics of Penicillium.
Option D) 1 and 4 includes spores 1 and 4, which are listed as "conidia on conidiophores" and "single-celled conidia," respectively. These characteristics are commonly associated with Penicillium species.
Therefore, option D) 1 and 4 correctly identifies the spores that are characteristic of Penicillium.
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Given the coordinates for the function below which of the following are coordinates for its inverse
Answers
PLS HELP ME OUT I WILL MARK YOY BRAINLEIST IF CORRECT
Answers
The volume of a right pyramid uses the formula (1/3)(length)(width)(height). Insert known values and solve.
See details:
A bakery offers a sale price of 2.55 for 4 muffins.what is the price per dozen?
I hope someone answers fast
And explain what you did
Answers
Answer: $7.65 for a dozen/12
Step-by-step explanation: 2.55 x 3
is 0.4444 a rational number? Why?
Answers
Answer:
yes
Step-by-step explanation:
A real number is said to be rational if it's the quotient (or the ratio, and thus the name rational) of two whole numbers. For example, 0.2 is rational because 0.2=1/5; 0.4444... is rational because 0.4444... =4/9; and so on.
Yoghurts are packed in trays.
Each tray holds 12 yoghurts.
What is the smallest number of trays needed to pack 460 yoghurts?
Answers
Answer:
39
Step-by-step explanation:
460÷12 = 38.3
round up to 39
There will be 39 smallest number of trays needed to pack 460 yogurts.
What is the definition of arithmetic operation?Arithmetic is a branch of mathematics that studies numbers and the many operations that may be applied to them. The four basic math operations are addition, subtraction, multiplication, and division.
Each tray holds 12 yogurts.
The smallest number of trays needed to pack 460 yogurts will be;
N= 460/12
N=38.3
N=39
Hence, the smallest number of trays needed to pack 460 yogurts will be 39.
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A bird weighs 10 N and is standing 3 m up whats its GPE
Answers
Answer:
30 J
Step-by-step explanation:
Given : -
Height ( h ) = 3m
Weight ( W ) = 10 N
To find : GPE = ?
Note : -
GPE is Gravitational Potential Energy.
It is expressed in Joules ( J ).
Formula : -
W = mg
mg = 10 N
Formula : -
GPE = mgh
GPE = 10 x 3
GPE = 30 J
Therefore,
A bird weighs 10 N and is standing 3 m, it's
GPE is 30 J.
Answer:
The answer is GPE = 300 Nm (Newton meters)
Step-by-step explanation:
The bird's mass weighs to 10 Newtons.
Presuming this took place on Earth, the gravitational force is 10 Newtons.
The bird is standing 3 meters above the ground.
Using the GPE formula (GPE = mgw,) the answer should be 300 Newton metres.
Find a line perpendicular to the line 3x−2y=−5
Answers
Answer:
where is the figure?
Step-by-step explanation:
with figure only you can ans this.
Is it A or C? I'm sorry, I'm not really smart-
Answers
Answer:
A i think im 98% sure
Step-by-step explanation:
Can someone explain and tell the answer please
Answers
Answer:
d. 22 cm²
Step-by-step explanation:
4*3+2*5= 22 cm² = option d
What is the value of g , if g 3√3=−7 ?
Answers
Answer: g = -7 / 3√3 or -4.04
Step-by-step explanation:
In this case, we can solve for g by dividing both sides of the equation by 3√3. This gives us:
g * 3√3 / 3√3 = -7 / 3√3
Since 3√3 / 3√3 = 1, this simplifies to:
g = -7 / 3√3
Therefore, the value of g is -7 / 3√3.
Divide. Reduce the answer to lowest terms.
5 2/3 ÷ 3 1/9
Answers
Answer:
About 1.82(142857)
Step-by-step explanation:
The result will be irrational, like pi, but the approximate result of this is above. Convert mixed numbers to improper fractions, like 11/5. Then divide. In this case, 17/3 divided by 28/9 equals about 1.82(142857), the 142857 in the parentheses means 142857 goes forever. Hope it helps!
Answer:
1.82142857143
Step-by-step explanation:
You have just signed up for a broadband home internet service that uses coaxial cable. which connector type will you most likely use?
Answers
Answer:
F type connector
Step-by-step explanation:
Use an F-type connector for broadband cable connections that use coaxial cable.
The F connector is a coaxial RF connector commonly used for "over the air" terrestrial television, cable television and universally for satellite television and cable modems,
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F type connector
The F-connector is a coaxial RF connector commonly used for "wireless" terrestrial television, cable television, and common for satellite television and cable modems, usually with RG-6/U cable or with RG -59 / U.F connector is also known as threaded connector. There are two main types: 7mm (6.8mm) is the most common and used in coaxial cable, and 5mm connector is used in thin coaxial cable commonly used in satellite system.
The F-connector is an accessory that connects a coaxial cable to an electronic device or wall outlet.
Type F connectors are highly mechanical and electrically stable coaxial screw connectors for cable television (CATV), set-top boxes, cable modems and satellite television applications up to 4 GHz
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if 40 is increased to 56 what is the percent of change
Answers
Answer:
40% more.
Step-by-step explanation:
40% of 40 is 16. 40+16 is 56
Answer: 71%
Step-by-step explanation: 40/56*100
If f (x) = 7+2x and g(x) =5x -2, find f (7)
Answers
Answer:f=103.444
Step-by-step explanation:
took this test and got an A++
The value of the function \(f(x)=7+2x\) for \(f(7)\) is 21.
The given functions are \(f(x)=7+2x\) and \(g(x)=5x-2\).
Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
To find \(f(7)\), substitute \(x=7\) in \(f(x)=7+2x\), we get
\(f(7)=7+2(7)\)
\(f(7)=21\)
Therefore, the value of the function \(f(x)=7+2x\) for \(f(7)\) is 21.
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Sami needs to order concrete for a driveway . The driveway will be 14 feet wide , 24 feet long , and 0.5 feet thick How many cubic yards of concrete will Sami need to order ?
Answers
Solution
We need to find the volume
\(Volume=lwh\)From the question, we have
\(\begin{gathered} w=14ft \\ l=24ft \\ h=0.5ft \end{gathered}\)Subtituting the value, we have
\(\begin{gathered} Volume=lwh \\ \\ Volume=24(14)(0.5) \\ \\ Volume=168ft^3 \end{gathered}\)To round up, we convert to yard
\(\begin{gathered} 3ft=1yd \\ \\ 27ft^3=1yd^3 \\ \\ 1ft^3=\frac{1}{27}yd^3 \\ \\ 168ft^3=168\times\frac{1}{27}yd^3 \\ \\ 168ft^3=\frac{56}{9}yd^3 \\ \\ 168ft^3=6.2222yd^3 \end{gathered}\)The answer to four decimal places is
\(\begin{equation*} 6.2222yd^3 \end{equation*}\)
The equation for the volume of cylinder is v=
Answers
Answer:
V=Pie R^2 H
Step-by-step explanation:
I just looked it up
Write an equation for each line
Answers
YELLOW y = -1/3x + 5
BLUE y = undefined
GREEN y = -2
BLACK y = 2x - 6
RED y = 2x + 5
Hope this helps!
Answer:
red- y= 2x +5
yellow- y= -2x+5
black - y= 2x-6
green- y= -2
blue- x= 5
Step-by-step explanation:
if the ratio of similarity of the figures above is 2/3, then what is the ratio of the perimeters of the two figures?
Answers
Perimeter = side 1 + side 2 ´+ side 3.
Triangle 1
Perimeter = 6 + 8 + 10
= 24
Triangle 2
Perimeter = 9 + 12 + 15
= 36
Ratio
24/36 = 2/3
The ratio of the perimeters is also 2/3
A geometric design. The design for a quilt piece is made up of 6 congruent parallelograms. What is the measure of ∠1?
f 120° g 30° h 150° j 60°
Answers
The angle measure of 1 is m∠1 = 60°.
Given information:
A geometric design. The design for a quilt piece is made up of 6 congruent parallelograms.
Let the angle measure of 1 is x.
As per the information provided, an equation can be rearranged as,
6x = 360
x = 360/6
x = 60.
Therefore, m∠1 = 60°.
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Help! (See screenshot)
Answers
The items and the contained that best describes them between unit rate and rate include:
Rate:
1 page for every 4 students1 sheet per 4 paragraphs15 pages for 1 notebook500 sheets per reamUnit Rate:
25 pages40 pages for each bookletHow to sort the items into rates and unit rates ?A rate is a ratio that compares two different types of quantities, often with different units. A unit rate, on the other hand, is a specific type of rate that compares a quantity to one unit of another quantity.
1 page for every 4 students is a rate because it compares pages (one type of quantity) to students (a different type of quantity). 1 sheet per 4 paragraphs is also a rate because it compares sheets (one type of quantity) to paragraphs (a different type of quantity).
40 pages for each booklet is a unit rate because it compares pages (one type of quantity) to a single unit of another quantity, which in this case is 1 booklet.
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Which transformations will change Figure A into Figure B?
rotate 180° about the origin, dilate by a scale
factor of
rotate 180° about the origin, dilate bya scale
factor of
A
reflect over the line y = , dilate bya scale
factor of
reflect over the line y = T, dilate by a scale
factor of
Answers
Answer:
the second answer should be correct
Step-by-step explanation:
:)
Answer:
second option
Step-by-step explanation:
1/3 times -6 + 5= in fraction form and show work
Answers
Answer:
3
Step-by-step explanation:
\(\frac{1}{3} \times (-6) + 5 => \frac{-6}{3} + 5 = >-2 + 5 = 3\)
A computer that originally costs $929 was returned to the electronics store. Because the box was opened, the store put it on the clearance rack fro 35% off. What is the price of the computer. Thanks : )
Answers
Discount = 929 x 0.35
You save = $325.15
Final Price = Original Price - Discount
Final Price = 929 - 325.15
Final Price = $603.85
Solution:
The price of the computer on clearance is $ 603.85
he average cost per night of a hotel room in new york city is $273. assume this estimate is based on a sample of 45 hotels and that the sample standard deviation is $65. what is the 90% confidence interval estimate of the population mean?
Answers
The 90% confidence interval estimate for the population mean of hotel room prices in New York City is $256.01 to $289.99.
A confidence interval is a range of values that is likely to contain the true population mean with a certain degree of confidence.
To calculate the confidence interval for the population mean of hotel room prices in New York City, we need to use the formula:
CI = x ± (Zα/2)(σ/√n)
where x is the sample mean, σ is the sample standard deviation, n is the sample size, and Zα/2 is the critical value of the standard normal distribution for the chosen confidence level (in this case, 90%).
Plugging in the given values, we have:
CI = 273 ± (1.645)(65/√45)
Simplifying this expression, we get:
CI = 273 ± 16.99 = [256.01 , 289.99].
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2.4 divided by 0.24 pllss help
Answers
Answer:
your answer is 10 Goodluck
The coordinates (-5,2) represent which point?
Answers
Answer:
BStep-by-step explanation: