The weight of a particle of unobtainium is 2.66 x 10^−6oz. The weight of a grain of spice is 9.17 x 10^−4oz. About how much more does a grain of spice weigh than the particle of unobtainium?
Answers
A grain of spice weigh 3.44 x 10² times more than the particle of unobtanium.
What is scale factor?Scale factor is a gives the measure of how many times is quantity[1] larger then the quantity[2].
Given is the weight of a particle of unobtanium is 2.66 x 10⁻⁶ oz and the weight of a grain of spice is 9.17 x 10⁻⁴ oz.
We can write from the data given -
Weight of unobtanium particle = W[O] = 2.66 x 10⁻⁶ oz
Weight of a grain of spice = W[G] = 9.17 x 10⁻⁴ oz
Assume that the ratio of -
W[G]/W[O] = k
Then, we can write -
k = (9.17 x 10⁻⁴) / (2.66 x 10⁻⁶)
k = 3.44 x 10²
Therefore, a grain of spice weigh 3.44 x 10² times more than the particle of unobtanium.
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Related Questions
Solve the following inequality:
- 4x + 14 = 54
Answers
the answer to this question is -10.
you subtract 14 from both sides and get:
-4x= 40
then divide -4 from both sides to get x alone
you get x= -10
answer: x= -10
Select all the correct answers.
Which expressions are equal to 105?
0 (104)
103.102
105
(103)
10-10-10-10-10
Answers
Answer:
105
Step-by-step explanation:
0 (104) is equal to 0, so let's cross that out. 103 times 102 is definitely not equal to 105. The third one is 105. The fourth one is not 105. The last one is not 105 either.
(ii) the position of a ball rolling in a straight line is given by x = 2.0 - 3.6 t 1.1 t 2 , where x is in meters and t in seconds.
Answers
The position of the ball at t = 2 seconds is -0.8 meters.
The position of a ball rolling in a straight line is given by the equation x = 2.0 - 3.6t + 1.1t^2, where x is the position in meters and t is the time in seconds. To find the position of the ball at a specific time, we can plug in the value of t into the equation and solve for x.
For example, if we want to find the position of the ball at t = 2 seconds, we can plug in 2 for t and solve for x:
x = 2.0 - 3.6(2) + 1.1(2)^2
x = 2.0 - 7.2 + 4.4
x = -0.8
Therefore, the position of the ball at t = 2 seconds is -0.8 meters.
Similarly, we can plug in any value of t into the equation to find the position of the ball at that specific time.
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Please help giving up 20 points for answers
Answers
Answer:
Question 2: 6x-21
Question 1: -9x+3
Step-by-step explanation:
20)
A single card is chosen at random from a standard deck of 52 playing cards. Which BEST describes the probability of drawing a king
from the deck?
Answers
The best description of the probability of drawing a king from the deck is 1 out of 13, or 1/13.
The probability of drawing a king from a standard deck of 52 playing cards can be determined by dividing the number of favorable outcomes (number of kings) by the total number of possible outcomes (total number of cards in the deck).
In a standard deck, there are 4 kings (one king for each suit: hearts, diamonds, clubs, and spades). Therefore, the number of favorable outcomes is 4.
The total number of possible outcomes is 52 (the total number of cards in the deck).
So, the probability of drawing a king is:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 4 / 52
Simplifying the fraction gives us:
Probability = 1 / 13
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4)
Ben, Joe and Alex bought flowers for their girlfriends at the same store.
Ben bought 5 roses, 8 daisies, and 2 carnations for $14.50. Alex bought
3 roses, 12 daisies, and 1 carnation for $14.00. Joe bought 10 roses, 1 daisy
and 3 carnations for $17.25. How much was one rose and one carnation?
rose:
carnation:
Answers
Answer:
1 rose cost $1.5
1 carnation cost $0.5
Step-by-step explanation:
Let the price for one rose be r, price for one daisies be d and the price for one carnation be c
For Ben;
5r + 8d + 2c = 14.5
For Alex
3r + 12d + c = 14
For Joe
10r + d + 3c = 17.25
From equation iii;
d = 17.25- 10r - 3c
Insert this into the first two equations;
5r + 8(17.25-10r-3c) + 2c = 14.5
5r + 138 - 80r -24c + 2c = 14.5
-75r -22c = -123.5
Thus;
75r + 22c = 123.5
Insert the formula for d in the second equation;
3r + 12(17.25-10r-3c) + c = 14
3r + 207 - 120r -36c + c = 14
-117r-35c = 14-207
117r + 35c = 193
So we have two equations to solve simultaneously;
75r + 22c = 123.5
117r + 35c = 193
Multiply first equation by 35 and second by 22
2625r + 770c = 4322.5
2574r + 780c = 4246
Subtract second from first
51r = 76.5
r = 76.5/51
r = 1.5
Insert this in the equation below;
75r + 22c = 123.5
75(1.5) + 22c = 123.5
112.5 + 22c = 123.5
22c = 123.5-112.5
22c = 11
c = 11/22
c = 0.5
What is the product of 33 and 6,925
Answers
Answer:
228525
Step-by-step explanation:
elena is proving the pythagorean theorem. she knows the goal is to prove that in a right triangle. so far she has: triangle with sides a, b, and c. right angle between a and b. segment h drawn from vertex between a and b and meets c at a right angle. h splits c into 2 lengths labeled x and y. x is adjacent to a. in a right triangle the altitude that intersects the hypotenuse decomposes the triangle into 2 smaller right triangles. these triangles are similar to the large triangle by the angle-angle triangle similarity theorem since each smaller triangle shares one angle with the larger triangle and has a right angle. similar triangles have proportional side lengths, so and . i can rewrite those equations to get and . therefore . . . fill in the blanks and finish the proof elena started.
Answers
Elena is using the similarity of the smaller triangles to prove the Pythagorean Theorem, which states that in a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b).
Elena is using the fact that when an altitude is drawn from the vertex between a and b to meet the hypotenuse at a right angle, it decomposes the triangle into two smaller right triangles. These smaller triangles are similar to the larger triangle by the angle-angle triangle similarity theorem, which states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
Using this similarity, Elena can set up the proportionality of the sides of the triangles and solve for the missing lengths. Ultimately, this leads to the Pythagorean Theorem, which is a fundamental principle in geometry and has numerous applications in mathematics, science, and engineering.
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How many different ways could I choose three shirts to pack for a weekend trip, if I have 12 shirts to choose from
Answers
The number of different ways to choose three shirts to pack for a weekend trip from 12 shirts is; 220.
What is the number of different ways to choose 3 shirts from 12 interviews?It follows from the task content that the number of different ways to choose three shirts from 12 is required to be determined.
Since the exercise implies selection; it follows that that the exercise is a combination.
The number of different ways to choose 3 shirts from 12 is; ¹²C³
= 220 ways.
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Factor the difference of two cubes
8v^3-27
i’ll give brainliest
Answers
27 - 8v3.........................
Answer:
\(8v^{3} +27=(2v)^{3} +3^{3}=(2v+3)(4v^{2} -6v+9)\\\)
Step-by-step explanation:
from formula a³ – b³ = (a – b) (a² + ab + b² )
Which is the correct simplified version of the expression 32x + 8 - 34x?
Answers
Answer: See below
Step-by-step explanation:
Subtract 32x and 24x
-2x+8
Factor out -2
-2(x-4)
Check which answer your teacher wants
(ii) The scale 1 cm represents 50m can be written in the form 1:k.
Find the value of k.
k=
[1]
Answers
Answer:
k = 50
Step-by-step explanation:
The scale 1 cm represents 50m
It means that 1 cm length of pictorial representation of any obejct is equivalent to 50m in reality.
In scale terms it can be represented in ratio form of a:b
where
a is the length of picture and b is actual length
here length of pictorial representation is 1 cm
and 50m is actual length
thus scale will be 1:50
But is given that The scale 1 cm represents 50m can be written in the form 1:k.
1:50 is same as 1:k
thus
1:50 = 1:k
we know that in ratio
if a:b = c:d
then
a= c and b = d
Thus,
k = 50 Answer
-6x² + 8x + 10is in what form?
A)Standard
B)Linear
C)Vertex
D)Parent
Answers
Step-by-step explanation:
The given quadratic equation is in standard form.
PLEASE HELP
what is the max or min value of
2x^2-12 − 14
Answers
Answer:
-22
Step-by-step explanation:
Factor completely x2 − 8x + 16
Answers
Step-by-step explanation:
(x-4)(x-4)
or
(x-4)^2
Very urgent urgent urgent!!!!!!!!
the explanation also
Answers
Answer: 56
Step-by-step explanation:
39:3=13
13-8=5
2) 35,75x2=71,5
71,5:5,5=13
13-4,5=8,5
Using the .01 level of significance means that, in the long run, 1) a Type I error occurs 1 time in 100. O2) a Type I error occurs 1 time in 20. 3) a Type II error occurs 1 time in 20. 4) a Type II error occurs 1 time in 100.
Answers
Using the .01 level of significance means that, in the long run, a Type I error occurs 1 time in 100. This means that if we perform a statistical test 100 times, and we set the level of significance at .01, then we can expect to observe one false positive result due to chance alone. So, the correct option is 1).
A Type I error occurs when we reject a true null hypothesis, or when we conclude that there is a significant difference or relationship between two variables when in fact there is not.
By setting the level of significance at .01, we are minimizing the risk of making a Type I error while increasing the risk of making a Type II error, which occurs when we fail to reject a false null hypothesis. So, the correct answer is 1).
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Quadrilateral ABCD is a parallelogram. If adjacent angles are congruent, which statement must be true?
Answers
Answer:
Step-by-step explanation:
A parallelogram is a shape that has two sets of parallel. There are a number of examples of parallelogram including but not limited to, square, rectangle, rhombus etc
From the question, the answer is, the shape is a rectangle. This is because the question says that the shape has its adjacent angles congruent, this means that they are supplementary(i.e they add up to 180). A rectangle is the one who fits the perfect description
Select all relations that represent function
Answers
Answer:
The last three are all functions.
The first one is not because by defenition of function, an x value cannot have two y values.
The second one is because a function f(x) is the same thing as y
The third one is because x value does not repeat, and that is all that matters.
The fourth one is a function too since x values do not have two y values
A manufacturer of cell phone screens is concerned because 12 percent of the screens manufactured using a previous process were rejected at the final inspection and could not be sold. A new process is introduced that is intended to reduce the proportion of rejected screens. After the process has been in place for several months a random sample of 100 screens is selected and inspected. Of the 100 screens 6 are rejected. What are the appropriate hypotheses to investigate whether the new process reduces the population proportion of screens that will be rejected?
A. H0:p=0.12Ha:p<0.12 A
B. H0:p=0.12Ha:p>0.12 B
C. H0:p=0.06Ha:p<0.06 C
D. H0:pˆ=0.06Ha:pˆ>0.06 D
E. H0:pˆ=0.12Ha:pˆ<0.12 E
Answers
Answer: A.
\(H_0:p=0.12\\\\H_a:p<0.12\)
Step-by-step explanation:
Null hypothesis\((H_0)\) : A statement describing population parameters as per the objective of the study. It usually takes "≤,≥,=" signs.
Alternative hypothesis \((H_a)\): A statement describing population parameters as per the objective of the study. It usually takes ">, <, ≠" signs.
Let p be the proportion of screens that will be rejected.
12 percent of the screens manufactured using a previous process were rejected at the final inspection.
(i.e. p= 0.12)
Objective of the study = whether the new process reduces the population proportion of screens that will be rejected
i.e. p< 0.12
So, the appropriate hypotheses to investigate whether the new process reduces the population proportion of screens that will be rejected:
\(H_0:p=0.12\\\\H_a:p<0.12\)
Find the value of x.
Answers
2x-10= 180
2x= 190
x= 95
hope this helps!
2. We can run OLS and calculate residuals. Residuals are given below: \[ e_{1}=0.3 \quad e_{2}=-0.3 \quad e_{3}=0.4 \quad e_{4}=-0.5 \quad e_{5}=0.5 \] (1) Draw a scatterplot of residuals against time
Answers
The scatterplot is just a rough representation of the data provided. The actual scale and placement of the points may differ depending on the specific values and range of time observations.
To draw a scatterplot of the residuals against time, we'll plot the residuals on the y-axis and time on the x-axis.
The given residuals are:\(e_1 &= 0.3, \\e_2 &= -0.3, \\e_3 &= 0.4, \\e_4 &= -0.5, \\e_5 &= 0.5 \\\end{align*}\]\)
Assuming the order of the residuals corresponds to the order of time observations, we can assign time values on the x-axis as 1, 2, 3, 4, 5.
Now, let's plot the scatterplot:
Residuals (e) | *
| *
| *
| *
| *
---------------------------------
Time 1 2 3 4 5
In the scatterplot, each dot represents a residual value corresponding to a specific time point. The y-axis represents the residuals, and the x-axis represents time.
Note: The scatterplot is just a rough representation of the data provided. The actual scale and placement of the points may differ depending on the specific values and range of time observations.
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State whether the data described below are discrete or continuous, and explain why.
Answers
Answer:
Step-by-step explanation:
discrete cos it's particular number
Write an equation for a parabola with a vertex of (-2,1) and a focus of (-2,4)
Answers
Answer:
\(y=\frac{1}{12}(x+2)^{2}+1\)Explanation:
Given a parabola with the following properties:
• Vertex: (-2, 1)
,• Focus: (-2, 4)
We want to write an equation for the parabola.
The standard equation of an up-facing parabola with a vertex at (h,k) and a focal length |p| is given as:
\(\begin{equation}(x-h)^{2}=4 p(y-k)\end{equation}\)\(\begin{gathered} Vertex,(h,k)=(-2,1)\implies h=-2,k=1 \\ Focus,(h,k+p)=(-2,4)\implies h=-2,k+p=4 \end{gathered}\)We solve for p:
\(\begin{gathered} k+p=4 \\ 1+p=4 \\ p=4-1 \\ p=3 \end{gathered}\)Substitute the values h=-2, k=1, and p=3 into the standard form given earlier:
\(\begin{gathered} (x-(-2))^2=4(3)(y-1) \\ (x+2)^2=12(y-1) \\ \text{ Divide both sides by 12} \\ \frac{1}{12}(x+2)^2=y-1 \\ \text{ Add 1 to both sides of the equation} \\ y=\frac{1}{12}(x+2)^2+1 \end{gathered}\)The equation for the parabola is:
\(y=\frac{1}{12}(x+2)^{2}+1\)The last option is correct.
Find the slope of the line that passes through the two points (7, -5) and (1, -13). (Don't forget to simplify!)
I don't want no links just the answer if u don't have the answer don't give me a link
Answers
Answer:
The slope would be 4/3 or 1 1/3.
Step-by-step explanation:
When you put the coordinates in the point-slope formula, you will get -5 - (-13) over 7 - 1. The answer becomes 8/6 but if simplified, it becomes 4/3 or 1 1/3 as a mixed fraction.
The continuous function f is defined on the closed interval [−5,5]. The graph of f consists of a parabola and two line segments, as shown in the figure above. Let g be a function such that g′(x)=f(x) (a) Fill in the missing entries in the table below to describe the behavior of f′ and f′′. Indicate Positive, Negative, or 0 . Give reasons for your answers.
Answers
f'(x)Negative Zero Negative Zero Zero Zero Positive Positive
f''(x)Positive Negative Negative Zero Zero Positive Zero__ these two are the answer.
The continuous function f is defined on the closed interval [−5,5]. The graph of f consists of a parabola and two line segments.
Let g be a function such that g′(x)=f(x).The given figure is as follows: the function f is continuous on the closed interval [-5,5].
x-5-3-1-1012345f(x)_______-4_____-3_____-2_____-1______0_______1______2
f'(x)Negative Zero Negative Zero Zero Zero Positive Positive
f''(x)Positive Negative Negative Zero Zero Positive Zero__
f'(x) tells us how much the value of f(x) is changing as x increases, so it is the slope of f(x) function. When x < -3, f(x) is
decreasing since f'(x) is negative.When -3 < x < -1, f(x) is constant since f'(x) is zero.When -1 < x < 2, f(x) is decreasing
since f'(x) is negative.When x > 2, f(x) is increasing since f'(x) is positive.f''(x) tells us how much f'(x) is changing as x
increases. When x < -3, f'(x) is increasing since f''(x) is positive. When -3 < x < -1, f'(x) is decreasing since f''(x) is negative.
When -1 < x < 1, f'(x) is zero since f''(x) is zero. When 1 < x < 3, f'(x) is increasing since f''(x) is positive. The other entries
can be figured out by the same reasoning.
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What is the inverse function of y=2x^2+2
Answers
Answer:
The answer is
\(y = \pm\sqrt{ \frac{1}{2}x - 1 } \)Step-by-step explanation:
\(y = {2x}^{2} + 2\)Interchange the terms
That's x becomes y and y becomes x
\(x = {2y}^{2} + 2\)Next solve for y
Send 2 to the other side of the equation
\( {2y}^{2} = x - 2\)
Divide both sides by 2
\( \frac{ {2y}^{2} }{2} = \frac{x - 2}{2} \\ {y}^{2} = \frac{x}{2} - \frac{2}{2} \\ {y}^{2} = \frac{1}{2} x - 1\)Find the square root of both sides to make y stand alone
That's
\( \sqrt{ {y}^{2} } = \sqrt{ \frac{1}{2}x - 1 } \)We have the final answer as
\(y = \pm\sqrt{ \frac{1}{2}x - 1 } \)Hope this helps you
Convert 8 decimeter to milli meter
Answers
Answer:
8 decimeter are 800 millimeters
Step-by-step explanation:
Just multiply the length value by 100
Hope this helps :)
Pls brainliest...
Answer: 8 decimeters equals 800 millimeters.
Step-by-step explanation:
We know that,
1 decimeter = 100 millimeter
Therefore, To convert decimeters to millimeters, we have to multiply it by 100.
Hence, mm= dm*100
= 8*100
= 800
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What is the correct order of operations for simplifying the expression 2 - 3x + 5 + 71 - 5x)2+x
Answers
Answer:
Your answer would be: square the binomial, distribute 7 inside the parentheses, and then combine like terms
Step-by-step explanation:
help me im stoopid lol
Answers
Answer: 6
Step-by-step explanation:
Plug in x for 1
Y=-4(1)+10
Y=-4+10
Y=6