a 2.5kg mass is held above the ground and has 50 J of gravitational potential energy. the mass is then dropped and accelerates to the ground. find the speed that the mass has when it collides with the ground
Answer:
[tex]6.3m/s[/tex]
Step-by-step explanation:
Note: We will take g as 9.8 in this question.
The two equations we will use for this questions are:
[tex]G.P.E = mgh[/tex], m = mass, g = acceleration due to gravity
and the SUVAT equation: [tex]v^2=u^2+2as[/tex]
First, let's start out by finding the height from which the object is being dropped. We can do this by using the gravitational potential energy formula.
Subbing the values we have:
[tex]50 = 2.5*9.8*h[/tex]
[tex]h = 2.04[/tex] - re-arranging for the height we get a height of 2.04.
Now we will use the SUVAT equation. Let's set out the variables we have:
[tex]S=2.04\\U=0\\V=?\\A=9.8\\T=N/A[/tex]
U (initial speed) is equal to 0 because we are dropping the object from rest. Acceleration is equal to 9.8 as that is the acceleration due to gravity. The displacement (S) is the height we just worked out.
Now let's put them into one of the SUVAT equations:
[tex]v^2=u^2+2as[/tex]
[tex]v^2=(0)^2+2(9.8)(2.04)[/tex]
[tex]v^2=39.984[/tex]
[tex]v=6.3 m/s[/tex]
NEED IT ASAP
Find the missing side.
3 is A^2
5 is B^2
what is the missing side
Answer:
5.83
Step-by-step explanation:
Use the Pythagorean theorem:
3^2+5^2 = c^2
34 = c^2
sqrt34 = c
5.83 = c
help with these all no links- I MEAN IT! and no oh i just came for the points cr_ap brainlyest if correct
Answer:
#1
Least value = 5#2
Median = 56, option C#3
Median = 113, option C#4
A = 10, the minimum point#5
Q1 = 99.5, the median of the lower half of data, option CThe radius of a cylinder water tanks 6' in its hide is 9' what is The volume of the tank
Answer:
6^6 = 36 (squared my radius in order to find the area of one circle)
36 x 3.14(multiplied my radius by pi to find the area) = 113.04
Now we multiply the area of one circle with the height since it is a prism throughout the whole shape.
113.04 x 9 = 1,017.36 in^3 is your answer.
Step-by-step explanation:
Formula of area of a circle:
pi(3.14 or 22/7 depending on what they tell you to use for pi) x radius squared(your radius is half of your diameter or given radius, your radius should be squared in order to find the area).
πr^2
pi x radius^2(radius being squared)
for brainiest:):):):):):)
Answer:
Just a rough try of the STRUCTURE, not the actual. Use a protractor.
Please help!
Acellus
Find the volume of the following
square pyramid.
6 cm
6 cm
6 cm
V = [?] cm3
Enter
Answer: 72
Step-by-step explanation:
V=1/3bh
B= 6*6= 36
H=6
1/3*36*6
Answer: 72
Step-by-step explanation: 6*6*6/3
Using the tax schedule below, which equation would you use to calculate the tax for a couple with taxable income of $188,500?
Taxable Income.
If line 10 is-
At least $100,000 but not over $165,000
Over $165,000 but not over $315,000
Over $315,000 but not over $400,000
Over $400,000 but not over $600,000
Over $600,000
(a)
Enter the amount
from line 10
$
$
$
$
s
(6)
(c)
Multiplication
Multiply
amount (a) by )
x 22% (0.22) S
x 24% (0.24) S
X 32% 0.32) $
x 35% (0.35) s
x 37% (0.37) IS
(d)
Subtraction amount
$ 8,121.00
$11,421.00
$36,621.00
$48.621.00
$60,621.00
Tax.
Subtract (d) from (c)
Enter the result here
and on the entry
space on line 112
$
S
$
$
$
Answer: I think it is B
Step-by-step explanation:
Simplify the expression (2 + 33)
Answer:
35
Step-by-step explanation:
630
Solve for <2.
*2 = [?]°
142
57°123°
please explain as well
Step-by-step explanation:
the total angles in the triangle are 180°
so,
63° + 57° + ∠2 = 180°
120° + ∠2 = 180°
∠2 = 180° - 120°
∠2 = 60°
#CMIIWThe manager of a fast food restaurant is supposed to serve coffee that is 160 degrees Fahrenheit. A random sample of 20 cups of coffee reveal that the mean temperature is 151 degrees Fahrenheit with a standard deviation of 3 degrees. The manager would like to conduct a t-test for the population mean temperature of all cups of coffee served at this restaurant. Are the conditions for inference met?
No, the random condition is not met.
No, the 10% condition is not met.
No, the Normal/large sample condition is not met.
Yes, all conditions for inference are met.
Answer:
C. No, the Normal/large sample condition is not met.
Step-by-step explanation:
There is only 20 cup and for a sample to meet the Normal/large sample condition it must be greater than 30 samples or have a normal distribution or have no skewness or outliers
No, the Normal/large sample condition is not met.
Option C is the correct answer.
What is a t-test?A t-test is a statistical test used to determine whether there is a significant difference between the means of two groups or samples.
It is used when the sample size is small or the population standard deviation is unknown.
We have,
The conditions for inference in a t-test are:
Random condition:
The sample should be selected randomly from the population to ensure that the sample is representative of the population.
Normal/large sample condition:
The population should be normally distributed, or the sample size should be large enough to assume normality. A commonly used rule of thumb is that the sample size should be at least 30.
Independence condition:
The observations in the sample should be independent of each other.
In this case,
The random condition is met as the sample was selected randomly. However, the normal/large sample condition is not met since the sample size is only 20, and it's not clear if the population of coffee temperatures is normally distributed.
Therefore, the conditions for inference are not met, and a t-test for the population mean temperature of all cups of coffee served at this restaurant cannot be conducted.
Thus,
No, the Normal/large sample condition is not met.
Learn more about t-test here:
https://brainly.com/question/15870238
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Write as an expression of factors 10x^3 + 4x ^2 - 6?
Classify the following polynomials by degree and number of terms.
1. 4p3 + 2p2 + 19p - 5
Given:
The polynomial is:
[tex]4p^3+2p^2+19p-5[/tex]
To find:
The degree and number of terms.
Solution:
Degree of a polynomial: It is the highest power of the variable.
Terms: Numbers, variables and product of them are called terms and they are separated by positive sign "+".
We have,
[tex]4p^3+2p^2+19p-5[/tex]
In this polynomial, the variable is p and its highest power is 3. So, the degree of this polynomial is 3.
The given polynomial can be written as:
[tex]4p^3+2p^2+19p+(-5)[/tex]
So, the terms in the given polynomial are [tex]4p^3,2p^2,19p,-5[/tex].
Therefore, the degree of the given polynomial is 3 and the number of terms is 4.
The classification by degree and number of terms of degree 3 and 4 terms
Degree of polynomialGiven the polynomial function 4p^3 + 2p^2 + 19p - 5, we are to classify the expression by degree and number of terms.
The highest power of the given polynomial is its degree. Hence the degree of the polynomial is 3Also, the given polynomial contains 4 terms.
In conclusion, the classification by degree and number of terms of degree 3 and 4 terms
Learn more on degree of polynomial here: https://brainly.com/question/25538519
the radius of a sphere with volume 288cm
Answer:
The radius (r) of a soccer ball with a volume of 288 cm3 is 6 cm.
Nicole rolls a six-sided die. What is the probability that Nicole will roll an odd number?
A.1/2
B.5/6
C.1/6
D.4/6
Find the value of x. Round your answer to the nearest tenth.
57°
15
Х
X =
Answer:
x = 14
Step-by-step explanation:
Please tell me if I'm wrong. if so I'm sorry
The value of the unknown variable is 12.6.
What is a triangle?A triangle is a two - dimensional figure with three sides and three angles.
The sum of the angles of the triangle is equal to 180 degrees.
∠A + ∠B + ∠C = 180°
Given is a right angled triangle as shown in the image.
There are six major trigonometric functions as -
Sine(x)Cosine(x)Tangent(x)Cotangent(x)Secant(x)Cosecant(x)We can write the relation between them as -
Sine = 1/cosecantCosine = 1/secantTangent = 1/CotangentWe can write the value of the unknown variable {x} as -
sin(57°) = x/15
sin(57°) = x/15
x = 15 sin(57°)
x = 15 x 0.838
x = 12.6
So, we can conclude that the value of the unknown variable is 12.6.
Therefore, the value of the unknown variable is 12.6.
To solve more questions on triangles, visit the link-
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A survey asked high shcool students to pick their favorite subject. THe results are shown in the table
Answer:
Sorry there is no table or picture to show the subjects ;-;
Step-by-step explanation:
Answer:
Step-by-step explanation:
35
Delthamath
Please help me!! ⚠️
Max earns $9.30 per hour does part time job how much money will max earn if he works 1,5,8,H hours also how many hours will he work to earn $180
Step-by-step explanation:
write a formula that models this.
9.30x = money earned
If he works 2 hours, he'll get $9.30 times (2)
and so on. so you write and solve
9.30(1), 9.30(5), 9.30(8)
for the second part you want to substitute 180 for the amount earned which will become
9.30x = 180 then you solve for x
What is the probability of choosing a red chip from a bag containing 3 red, 2 blue, and 5 yellow chips?
In the diagram shown on the left , three lines intersect to form a triangle . What is the value of x ?
5. In the regular decagon shown, what is the measure of angle 1? *
1 point
One Exterior Angle of a REGULAR Polygon
OneEx 4 = 360
(
18 degrees
O
36 degrees
72 degrees
0
180 degrees
The image of the hexagon is missing, so i have attached it.
Answer:
∠1 = 36°
Step-by-step explanation:
From the image attached, we can see that the polygon is regular and has 10 sides.
Formula for an interior angle of a regular polygon is;
θ = 180(n - 2)/n
Where n is the number of sides of the polygon.
Thus;
θ = 180(10 - 2)/10
θ = 144°
Now, ∠1 forms a straight line with one of the interior angles of the polygon.
Thus, θ + ∠1 will be equal to 180° because sum of angle on a straight line is 180°
Thus;
144° + ∠1 = 180°
∠1 = 180° - 144°
∠1 = 36°
In Texas the state sales
tax rate is 6%. Beth
purchases a washing
machine at $420.00
and a dryer for
$360.00
How much will Beth's total be
including state sales tax
Answer: $826.8
Step-by-step explanation:
First, we add the amount of money that the machines sold for:
$420 + $360 = $780
Next, we multiply it by the sales tax, 6%,
$780 x 6%(0.06) = $46.80
Finally, we add this to the total:
$780 + $46.80 = $826.80
Alternatively, you can add the total sales and multiply by 106% using the 2-step method.
Answer:
In Texas the state sales
tax rate is 6%. Beth
purchases a washing
machine at $420.00
and a dryer for
$360.00
How much will Beth's total be
including state sales tax
In ΔWXY, x = 32 inches, y = 96 inches and ∠W=16°. Find the area of ΔWXY, to the nearest square inch.
Answer:
Step-by-step explanation:
423
Helppppp I need help with this no links please
What value of coefficient b makes the equation true for any real number x?
3(2x - 3)+ 5 = bx +9
Answer:
x=58
Step-by-step explanation:
PLEASE HELP!! Which of the following numbers is irrational?
Help me find the surface area :)
Answer:
Step-by-step explanation:
unknown base side = √7²+7²= √98=7√2
SA = (2×½×7×7)+ (7+7+7√2)(10)
= 49 + 140 + 70√2
= (189 + 70√2) ft²
or
= 287.99 ft²
A right triangular prism and its net are shown below.
(All lengths are in centimeters.)
Answer:
A=4
B=6
C=8
D=10
SA=248cm
Step-by-step explanation:
SA=bh+(s1+s2+s3)H
=6×8+(6+4+10)10
248cm
Two angles in a triangle measure 18° and 160°. What is the measure of the third angle?
Answer:
2
Step-by-step explanation:
add 18 to 160 then subtract the answer from 180.
What is the volume of the cylinder below? Use 3.14 for Pi and round to the nearest tenth.
464.8 cm3
729.7 cm3
1,234.8 cm3
1,459.3 cm3
Answer:
V= πr^2h
Step-by-step explanation:
Given data
Note: Incomplete question
No picture/ detailed information of the cylinder was given
The dimension of a cylinder is given as
radius= r
Height = h
Although, we know that the expression for the volume of a cylinder is given as
V= πr^2h
Hence, you plug in the values of r and h into the expression above to get the volume of a cylinder