Answer:
Solution:
Mass of body, m= 10kg
velocity, v= 60m/s
Now,kinetic energy on earth= potential energy at a that point [energy conservation]
so, kinetic energy= 1/2*m* v^2
= 1/2* 60(60)^2
= 30* 60*60
= 108000 joules
Find the slope of a line that goes through the points (5,-2) and (1,0).
A. 1/2 B. - 1/2 C. 2 D. -2
Answer:
B(-1/2)
Step-by-step explanation:
So remember, the slope is y2-y1/x2/x1. Note that y2 means the second y adn x2 means the second x.
So lets plug in our numbers for the top of our fraction, y2-y1. This is 0- - 2.
You should get postive 2, since -- equals a + so it would be 0+2 equaling 2.
This is your y value of your slope.
Next lets find the x value of the slope.
Lets plug in our numbers for the bottem raction this time, which is x2-x1. This is 1-5.
You should get negative 4, since 1-5 equals -4.
This is the x value of the slope.
Knowing your y and x value of the slope, we can tell that the slope will be:
2/-4
This can be simplyfied to -1/2. Since 2 goes into 2, 1 time(for y). Then 2 goes into -4, -2 times(for x). So now its 1/-2.
The negative sign can just be moved to the front since it is the only negative and does not change:
Answer:
-1/2
Mr. Jones has $410,000 in a retirement account that earns 3.85% simple interest each year. Find the amount of interest earned by this investment if it is in there for 5 years. *
Answer:
Amount of interest earned = $78,925
Step-by-step explanation:
Given:
Amount deposit = $410,000
Rate of interest = 3.85% = 0.0385
Number of year = 5 year
Find:
Amount of interest earned
Computation:
Using simple interest formula
Amount of interest earned = Amount deposit x Rate of interest x Number of year
Amount of interest earned = 410,000 x 0.0385 x 5
Amount of interest earned = $78,925
Kurt is running for student senate. He designed the t-shirt logo for his campaign. The logo is made up of a square with 14 cm sides and four half circles. Use 3.14 for pi to approximate the area of the logo.
Answer:
......
Step-by-step explanation:
Which expression is a perfect cube?
224
m 28
Answer:
alan walker dead girl
Step-by-step explanation:
Emile went out for dinner and received a bill for $32.45. He left an 18% tip How much
did Emile pay for dinner including his tip?
Answer:
$38.29
Step-by-step explanation:
Find the Value when 2 is added to 11.
Step-by-step explanation:
Gravity, also called gravitation, in mechanics, the universal force of attraction acting between all matter. ... On Earth all bodies have a weight, or downward force of gravity, proportional to their mass, which Earth's mass exerts on them. Gravity is measured by the acceleration that it gives to freely falling objects
13 is the value when 2 is added to 11
RENAME 11/12 / 8/9 AS A MIXED NUMBER
Answer: 1(29)/(36)
Step-by-step explanation:
The nutrition facts label on a container of dry roasted cashews indicates there are 161 calories in 28 grams. You eat 9 cashews totaling 12 grams.
A) How many calories do you consume
B) How many cashews are in one serving?
(PLEASE HELP)
Answer:
A) I consumed 69 calories.
B) There are 21 cashews in one serving.
Step-by-step explanation:
Given that the nutrition facts label on a container of dry roasted cashews indicates there are 161 calories in 28 grams, and I eat 9 cashews totaling 12 grams, to determine how many calories do I consume and how many cashews are in one serving should be performed the following calculations:
A)
28 = 161
12 = X
12 x 161/28 = X
1932/28 = X
69 = X
So, I consumed 69 calories.
B)
12 = 9
28 = X
28 x 9/12 = X
252/12 = X
21 = X
Therefore, there are 21 cashews in one serving.
Which statements must be true to model a data set using a normal distribution?
The sample mean must equal the population mean.
The standard deviation of the population must be less than 30.
The sample must be randomly selected.
The sample size, n, must be at least 30.
The population mean must be greater than the sample mean.
Answer:
The sample must be randomly selected.
The sample size, n, must be at least 30.
Step-by-step explanation:
Plato
Answer:
The sample must be randomly selected.
The sample size, n, must be at least 30.
Step-by-step explanation:
Plato/Edmentum
Sally is building a fence. She needs 234 inches of fencing material. How many yards of fencing material does she need?
Answer:
6.5 yards
Step-by-step explanation:
1 yard = 36 inches
234/36 = 6.5
nick is baking fudge. what is the minimum amount of plastic wrap needed to cover this piece of fudge?
Answer:
4 inches
Step-by-step explanation:
Answer:
where is the picture?
Step-by-step explanation:
According to a candy company, packages of a certain candy contain 21% orange candies.
Find the approximate probability that the random sample of 500 candies will contain 22% or more orange candies.
Using a normal approximation, what is the probability that at least 22% of 500 randomly sampled candies will be orange?
Answer:
vvvvvvvvvvvvvvvvvvvvvvv v v v v
giving brainliest!! *easy*
Surface area is 1256.64
My bird is sleeping a lot and she is panting for no reason she is also only closing one eye and is very itchy she also is not active like she always used to be. Does anyone know what is wrong with her and what ("TYPE") of Illness she has?
I need them all in about five minutes, please help me no BS I’m giving you 50 points.
Answer: 1 is 5.7
2 is 21.75
3 is 8.8
Step-by-step explanation:
here ya go
Please help me! Please! I am so lost! Pythagorean Theorem!
(The prism said to have an equilateral triangle base has the measurements shown)
Part A
Are the bases of the prism equilateral triangle‘s? Why or why not? Note: the bases of a triangular prism are triangles.
Part B
For this prism to be a right prism, all the lateral faces must be rectangles. Is enough information given to prove the lateral faces are rectangles? Why or why not?
Part C
Without using a protractor, you can determine whether the angles are right angles by measuring the length of the diagonal and applying the converse of the Pythagorean theorem.
The length of both diagonals for each lateral side is 13 cm. From this can you prove that the lateral sides are rectangles? Why or why not?
Part D
Some of the measurements of the triangular prism with a right angle base are shown. What is the length of the hypotenuse of the base?
Part E
Which lateral face has the largest area, the bottom one, left one, or diagonal one? What is the area?
Answer:
Part A- yes, because all 3 sides are Equal (each side is 5)
Part B- yes, each rectangle has the dimensions 12*5
Part C- yes- since the sides are 5 and 12 you can determine that the diagonal is 13, using they Pythagorean theorem [tex]a^{2} +b^{2} =c^{2}[/tex]
[tex]5^{2} +12^{2} =13^{2} \\25+144=169[/tex]- true statement, so the lateral sides are rectangles, because the corners are 90
Part D- [tex]4\sqrt{2}[/tex] (it is a 45-45-90 triangle- so the hypotenuse is the side length times [tex]\sqrt{2}[/tex]
Part E- the diagonal face as the largest area- dimensions are [tex]4\sqrt{2} * 12\\[/tex]
the area would be [tex]48\sqrt{2}[/tex]
Step-by-step explanation:
CAN ANYONE HELP ME ASAP AND THANKS:)
Answer:
true, true, false
Step-by-step explanation:
the sales do not decrease between week 4 and 5
Answer:
The answer is True, True, False
Step-by-step explanation:
For the first one, it is true because if you look on the graph, on the bottom or the x-axis, it is labeled "weeks". If you pay attention to when the line on the graph is, you will se that it is a straight line through weeks 1 and 2, so number one is true.
For the second one, it is also true because on the graph, you can see the the line starts to go upwards or increase. While the line is doing that, you can look right under it and see that it is passing through weeks 3 and 4, so that is True.
For the last one, it is false because on the graph, the line keeps going upwards for weeks 5 and 6, and the statement says that it is decreasing or going down, which is incorrect, so finally, the last question is false.
Hope this helps!
Swapna gathered data on the number of page views for each of her blog posts. For her 40 latest posts, she found a sample mean of 358 with a population standard deviation of 54.3. What is the approximate 95% confidence interval for her page views? HINT: It's not D.
A. 344 and 372
B. 356 and 360
C. 341 and 375
D. 336 and 380
Answer: for plato users
D. 341 and 375
Step-by-step explanation:
I just took the test
The approximate 95% confidence interval for Swapna's page views is [341, 375].
What is confidence interval?It is a range of values that's likely to include a population value with a certain degree of confidence. It is expressed as a percent (%) where a population mean lies between an upper and lower interval.A confidence interval is how much uncertainty is with any particular statistic.When it is a 95% confidence interval, it means a range of values that you can be 95% certain contains the true mean of the population.A confidence interval is obtained from the observed data that holds the actual value of the unknown parameter.Formula of confidence interval:Confidence interval = mean ± Z * (standard deviation/ √sample size)
For given question,
Sample size = 40
Sample mean = 358
Standard deviation = 54.3
Critical value at 95% confidence level= 1.96
Confidence interval = 358 ± 1.96 * (54.3/ √40)
= [358 - 1.96 * (54.3/ √40) ,358 + 1.96 * (54.3/ √40)]
= [341, 375] (approximately)
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If each small cube has a volume of 1 cm,
what is the volume of this rectangular prism? HELP A.S.A.P. ILL GIVE BRAINLIST
Answer:
The answer is 40 Centimeters.
Step-by-step explanation:
This answer is correct since there are 4 rows of 10, creating the Rectangular prism. i hope this helped!
Help pls............. Will choose brainliest
Answer:Its D enjoy =)
In triangle ABC, AC = 6, AB = 7, and BC = 5. Which is true?
A) The measure of Angle C is the greatest of the three angles.
B) The measure of Angle C is the least of the three angles.
C) The measure of Angle B is the least of the three angles.
D) The measure of Angle B is the greatest of the three angles.
You toss a coin in the air and it lands on the table. What is the probability that it lands on heads? *
Answer:
Hi! The answer to your question is D. 0.5
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!!
Stay Safe!!!
- Brooklynn Deka
Nick is making bread dough. The recipe requires 3/4 cup of flour and 1 1/8 teaspoons of salt. • Nick wants to make the recipe using 1 cup of flour. To maintain the ratio, how much salt is required when 1 cup of flour is used?
Answer:
1 1/2 teaspoons!
Step-by-step explanation:
Answer:
1 1/2 teaspoons
Step-by-step explanation:
3/4 is to 1 1/8 as 1 is to x
converting 1 1/8 to an improper fraction gives:
3/4 is to 9/8 as 1 is to x
(3/4)/(9/8) = 1/x
cross multiply
(3/4)x = 9/8
multiply both sides by 4/3
x = (9/8)(4/3)
x = = 3/2 = 1 1/2
1 1/2 teaspoons of salt are needed
Find the volume..
Pleaseeeee helppp being timed
Answer:
The right answer is 125.6
Answer:
A. 502.4
Step-by-step explanation
What volume of 1M HCI would be needed
to neutralize 50mL of 1M Ca(OH)2?
Answer: 100
Step-by-step explanation: BRAINLIEST
What is the difference in volume between a sphere with radius r and a sphere with radius 0.3r?
Answer:
[tex]d = 1.2973\pi r^3[/tex]
Step-by-step explanation:
Given
[tex]R_1 = r[/tex]
[tex]R_2 = 0.3[/tex]
Required
The difference in their volumes
The volume of a sphere is:
[tex]V = \frac{4}{3}\pi r^3[/tex]
So, the difference d is:
[tex]d = \frac{4}{3}\pi [R_1^3 - R_2^3][/tex]
[tex]d = \frac{4}{3}\pi [r^3 - (0.3r)^3][/tex]
[tex]d = \frac{4}{3}\pi [r^3 - 0.027r^3][/tex]
[tex]d = \frac{4}{3}\pi *0.973r^3[/tex]
[tex]d = \frac{3.892}{3}\pi r^3[/tex]
[tex]d = 1.2973\pi r^3[/tex]
Volume is a three-dimensional scalar quantity. The difference in the volume between a sphere with radius r and a sphere with radius 0.3r is 4.0757r³ unit³.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of the sphere with radius(r) is,
Volume = (4/3)×π×r³
The volume of the sphere with radius (0.3r) is,
Volume = (4/3)×π×(0.3r)³
The difference in the volume between a sphere with radius r and a sphere with radius 0.3r is,
Difference = [(4/3)×π×r³] - [(4/3)×π×(0.3r)³]
= (4/3)πr³[1-0.027]
= (4/3)πr³(0.973)
= 4.0757r³ unit³
Hence, The difference in the volume between a sphere with radius r and a sphere with radius 0.3r is 4.0757r³ unit³.
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The length of a rectangle is 1 ft less than twice its
width. If the area of the rectangle is 78 ft^2 ,what
are the dimensions of the rectangle?
Answer:
Width: 13/2 ft.
Length: 12 ft.
Step-by-step explanation:
Let's assume the width is x
This means that the length is 2x-1, because it it one less than double the width.
The formula for the area of a rectangle is length*width, so
(2x-1)*x=78
Now let's solve for x
2x^2-x=78
2x^2-x-78=0
Use the quadratic formula
x=13/2 and x=-6
x cannot be negative, so we can rule out x=-6 and are left with x=13/2.
Substituting x back into our original assumptions, we now know that
The width is x=13/2 and
The length is 2x-1=2(13/2)-1=12
Final answer: The width is 13/2 ft. and the length is 12 ft.
find the median of the data 74,78,86,67,80, the mean is... the median is... find the modes of the data 67,74,77,78 or there is no mode
Answer:
data set one (74, 78, 86, 67, 80):
the mean is 77.
The median is 78
data set two (67, 74, 77, 78):
there is no mode
Step-by-step explanation:
i hope this helped<33
which of the following is equivalent to 2:1
Answer:
use m a t h w a y
Step-by-step explanation:
put it all together and they will give you opitions
20 points! Please help
A population has a standard deviation of 7.89. What is the approximate standard error of the mean for a sample size of 300?
A.
0.026
B.
0.46
C.
17.32
D.
2.20
Using the Central Limit Theorem, it is found that the approximate standard error of the mean for a sample size of 300 is given by:
B. 0.46
What does the Central Limit Theorem State?It states that the sampling distribution of sample means of size n from a population with standard deviation [tex]\sigma[/tex] has standard error [tex]s = \frac{\sigma}{\sqrt{n}}[/tex]
In this problem, we have that the parameters are [tex]\sigma = 7.89, n = 300[/tex], hence the standard error is given by:
[tex]s = \frac{7.89}{\sqrt{300}} = 0.46[/tex]
Hence option B is correct.
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