If the mass is measured as 1kg ±1 g and the acceleration due to gravity is 9.8 +0.01 m/s² then the uncertainty of the measured weight is 0.014N.
To calculate the uncertainty of the weight, we need to consider the uncertainties in both the mass and the acceleration due to gravity. The mass is measured as 1kg ±1g, which means the uncertainty in the mass is ±0.001kg. The acceleration due to gravity is given as 9.8m/s² ±0.01m/s², which means the uncertainty in acceleration is ±0.01m/s².
To calculate the uncertainty in weight, we multiply the mass and the acceleration due to gravity, taking into account their respective uncertainties. ΔW = (1kg ±0.001kg) × (9.8m/s² ±0.01m/s²).
Performing the calculations, we get
ΔW = 1kg × 9.8m/s² ± (0.001kg × 9.8m/s²) ± (1kg × 0.01m/s²)
≈ 9.8N ± 0.0098N ± 0.01N.
Combining the uncertainties, we get ΔW ≈ 9.8N ± 0.0198N.
Rounding to the appropriate number of significant figures, the uncertainty of the measured weight is approximately 0.014N. Therefore, the correct answer is 0.014N.
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(48,-30) (61,-45) (74,-60) find the y intercept
Answer:
The y-intercept is about 25.385
Step-by-step explanation:
Calculate slope from difference in y-values divided by difference in x-values.
-15/13 is slope.
Use slope-intercept form.
Y= mx + b
Substitute values from given coordinates for y and x, then solve for b
-60 = -15/13(74) + b
-60 = -85.385 + b
-60 +85.385 = b
25.385 = b
The screenshot atttached shows the graph of this challenging question.
(x+6)(3x−8) express as trinomial
Answer:
Step-by-step explanation:
(x+6)(3x-8) = ( 3x^2-8x+18x-48) = 3x^2 +10x-48
It is a trinomial
The expression (x + 6)(3x - 8) can be expressed as the trinomial is 3x² - 8x - 48.
To expand the expression (x + 6)(3x - 8) and express it as a trinomial, we can use the distributive property.
First, distribute the x term:
(x + 6)(3x) = 3x²
Next, distribute the 6 term:
(x + 6)(-8) = -8(x) - 8(6)
= -8x - 48
Now, combine the terms to express it as a trinomial:
3x² - 8x - 48
Therefore, (x + 6)(3x - 8) can be expressed as the trinomial 3x² - 8x - 48.
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100 pounds of chocolate is packaged into boxes each containing 1^1/4 pounds of chocolate. Each box is then sold for $1.75. What is the total selling price for all of the boxes of chocolate?
Answer:
$140
Step-by-step explanation:
Total Amount of chocolate = 100 Pounds
Amount of chocolate in one box = 1 1/4 Pounds = 5/4 Pounds
Number of boxes = 100/(5/4) = 80 boxes
Cost of one box = $1.75
Total selling price = 80×1.75 = 140
The total selling price for all the boxes of chocolate is $140
Answer: $140
Step-by-step explanation:
Convert
1 1/4 --> 1.25
Solve
100/1.25= 80
80*1.75= $140
If f (x) is transformed by compressing the function vertically (making it wider) by a factor of, shifting 5 units to the left, and shifting 11 units downward, what will be the new function?
1/2f(x) +5-11
1/2f(x+5)-11
f(x+5)- 11
1/2f(x-5)-11
The new function after applying the sequence of transformation include: B. 1/2f(x + 5) - 11
What is a translation?In Mathematics and Geometry, the translation of a graph to the left means a digit would be added to the numerical value on the x-coordinate of the pre-image:
g(x) = f(x + N)
Conversely, the translation of a graph downward means a digit would be subtracted from the numerical value on the y-coordinate (y-axis) of the pre-image:
g(x) = f(x) - N
Since the parent function f(x) was translated 11 units downward, 5 units to the left, and vertically compressed (making it wider) by a factor of 1/2, the equation of the image g(x), we have:
g(x) = 1/2f(x + 5) - 11
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Complete Question:
If f(x) is transformed by compressing the function vertically (making it wider) by a factor of 1/2, shifting 5 units to the left, and shifting 11 units downward, what will be the new function?
Please help I know it’s one of the last two but I am confused which one it is
Answer:
Red
Step-by-step explanation:
Answer:
i think its the red one
A cohort study examined the effect of anti-smoking advertisements on smoking cessation among a group of smokers. For the purposes of this exercise, we are focusing on two groups in the study: 1) an unexposed control group that consists of 18,842 individuals contributing 351,551 person-years to the study, and 2) an exposed group of 798 individuals contributing 14,245 person-years These exposed smokers saw anti-smoking advertisements 1 a month for several years. Nine cases of smoking cessation were identified in the unexposed group. One case was identified in the exposed group. Follow-up occurred for 21 years. For risk calculations assume all individuals were followed for 21 years. Calculate the risk in the unexposed group. Select one:
a. 0.048% over 21 years of follow-up
b. 0.051% over 21 years of follow-up
c. 0.125% over 21 years of follow-up
d. 0.250% over 21 years of follow-up
The risk in the unexposed group over 21 years of follow-up is approximately 0.2562%.None of the provided options match the calculated value exactly.
To calculate the risk in the unexposed group, we need to divide the number of cases by the total person-years of follow-up.
Given information:
Unexposed group:
Individuals (n1): 18,842
Person-years (PY1): 351,551
Cases of smoking cessation (C1): 9
Risk in the unexposed group is calculated as:
Risk1 = (C1 / PY1) * 100%
Risk1 = (9 / 351,551) * 100%
Calculating the risk:
Risk1 ≈ 0.0025621 * 100%
Risk1 ≈ 0.2562%
Therefore, the risk in the unexposed group over 21 years of follow-up is approximately 0.2562%.
None of the provided options match the calculated value exactly.
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The domain of a function is the set of all negative number. Which quadrant could the function be located in? Select two that apply .
Answer:
Quadrant 2 and Quadrant 3
Step-by-step explanation:
Given
Set of all negative numbers
Required
Determine the quadrant it falls
Domain implies that we list the possible x values.
There are 4 quadrants and the x values in each quadrant are:
First quadrant: x is positive
Second quadrant: x is negative
Third quadrant: x is negative
Fourth quadrant: x is positive
From the above lists, we can see that x is negative in the second and the third quadrants.
Find the x 44in 55in
Answer:
33in
Step-by-step explanation:
Write an equation of the line in standard form?
The line has the same slope as 6x-y = 5 and the same y-intercept as the graph of 4y-9x = 8.
What is the equation in standard form?
The equation of the line in standard form that satisfies the provided conditions is 6x - y = -2.
To obtain the equation of a line in standard form that satisfies the provided conditions, we'll first convert the provided equations into slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept.
1. We have the equation:
6x - y = 5
Subtract 6x from both sides:
-y = -6x + 5
Multiply through by -1 to isolate y:
y = 6x - 5
From this equation, we can see that the slope is 6.
2. We have the equation:
4y - 9x = 8
Add 9x to both sides:
4y = 9x + 8
Divide through by 4 to isolate y:
y = (9/4)x + 2
From this equation, we can see that the y-intercept is 2.
Now, we have the slope (m = 6) and the y-intercept (b = 2).
We can substitute these values into the standard form equation of a line, which is Ax + By = C, to obtain the equation in standard form.
Using the slope-intercept form equation (y = mx + b), we can rewrite it as -mx + y = b.
Rearranging, we get mx - y = -b.
Substituting the provided values:
6x - y = -(2)
Multiplying through by -1 to make the leading coefficient positive, we have:
-6x + y = 2
Now, rearranging the terms to obtain the standard form Ax + By = C, we get:
6x - y = -2
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Erica travels 4 blocks right and 4 blocks up between 2 locations on the map. which two locations does she travel between? (4 points)
a coordinate plane with the origin point, where the horizontal and vertical lines meet labeled zero. the horizontal line labeled x has tick marks numbered from one to ten. the vertical line labeled y has tick marks numbered from one to ten. there are six locations plotted on the coordinate plane. the soccer field is at two, two. the ice cream parlor is at one, six. the park is at six, six. the school is at nine, two. the town hall is at four, nine. the ice rink is at nine, ten.
a
town hall and ice rink
b
park and town hall
c
ice cream parlor and town hall
d
soccer field and park
Answer:
the answer is ice cream parlor and town hall
Step-by-step explanation:
because if you for 3 times right and 3 times up from ice cream parlor it will land to town hall
Suppose the graph of y=x^2 is shifted left 6 units. Complete the modified equation: y=
Please help me
The modified equation is expressed as g(x) = x^2 - 6
Translation of coordinateTranslation is the process of changing the position on an x-plane.
Given the function of a graph expressed as y=x^2
If the function is shifted 6 units to the left, hence the resulting function is given as;
g(x) = x^2 - 6
Hence the modified equation is expressed as g(x) = x^2 - 6
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whats the answer 100x100-234+098
Answer: Simplify the expression.
9864
what is -1² online i’ve found conflicting answers.
(1 point) consider the following two systems. (a) {−3x−2y2x−3y==−2−2 (b) {−3x−2y2x−3y==2−4 (i) find the inverse of the (common) coefficient matrix of the two systems.
The inverse of the coefficient matrix is \(\left[\begin{array}{cc}\frac {-3}{13}&\frac {2}{13}\\\frac {2}{13}&\frac {-3}{13}\end{array}\right]\)
How to find the inverse of the common coefficient matrix?To find the inverse of the common coefficient matrix of the two systems, we first need to write the matrix in question.
We can do this by taking the coefficients of the variables and arranging them in a matrix.
For the systems (a) and (b), the coefficient matrices are:
A =\(\left[\begin{array}{cc}-3&-2\\2&-3\end{array}\right]\)
To find the inverse of matrix A, we can use the formula:
\(A^-1 = (1/det(A)) * adj(A)\)
where det(A) is the determinant of A and adj(A) is the adjugate (or classical adjoint) of A.
First, let's find the determinant of A:
det(A) = (-3)(-3) - (2)(-2) = 9 - (-4) = 13
Next, we need to find the adjugate of A. To do this, we need to find the transpose of the matrix of cofactors of A. The matrix of cofactors of A is:
C =\(\left[\begin{array}{cc}-3&-2\\2&-3\end{array}\right]\)
Note that the cofactor of aij is \((-1)^{(i+j)}\) times the determinant of the matrix obtained by deleting row i and column j of A. Using this rule, we can find the matrix of cofactors C.
C =\(\left[\begin{array}{cc}-3&2\\2&-3\end{array}\right]\)
Now we need to find the transpose of C, which is:
\(C^T\) =\(\left[\begin{array}{cc}-3&2\\2&-3\end{array}\right]\)
Finally, we can find the inverse of A using the formula:
\(A^-1 = (1/det(A)) * adj(A)\)
\(A^-1 = (1/13) *\left[\begin{array}{cc}-3&2\\2&-3\end{array}\right]\)
\(A^-1 =\left[\begin{array}{cc}\frac {-3}{13}&\frac {2}{13}\\\frac {2}{13}&\frac {-3}{13}\end{array}\right]\)
Therefore, the inverse of the common coefficient matrix of the two systems is:
\(\left[\begin{array}{cc}\frac {-3}{13}&\frac {2}{13}\\\frac {2}{13}&\frac {-3}{13}\end{array}\right]\)
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A jet travels 490 miles in 5 hours. At this rate, how far could the jet fly in 12 hours? What is the rate of speed of the jet?
Answer: 1,176 miles
Step-by-step explanation:
490 / 5 = 98 miles
98 mph X 12 hours is 1,176
b2-5c
b=15 & c=9
if you can show the work it would be really helpful:)
Jello someone please help
No links or files
Answer: 15
Hope this helps!
Could anyone explain?
Both Isaac and Micah are using a compass and straightedge for their constructions.
The similarities between their construction steps include:They both start by drawing a line segment.They both use a compass to mark points on the line segment.They both use a straightedge to connect the marked points.The differences between their construction steps are:
Isaac is constructing congruent segments, which means he is dividing the original line segment into equal parts, while Micah is constructing a segment bisector, which means he is dividing the line segment into two equal parts and finding the midpoint.
Isaac only needs to mark one point on the line segment with his compass to get two congruent segments, while Micah needs to mark two points and then find the midpoint between them.
The final results of their constructions are different: Isaac will have two congruent line segments, while Micah will have one line segment bisector that splits the original line segment in half.
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What is the answer? Answer with correct answer and no wrong ones
Answer:
C
1/2 of the circle which means half is blue!
please give brainliest!
c. 1/2
its that answer only because the grey side is half and half is also 1/2 and since its shaded its one half. get it?
2. Consider SAT scores for 2009 high school graduates which are approximately normal with a mean of 1050 and a standard deviation of 150. a.) The z-score of Jeff's SAT score is z=-1.75. This means Jeff's score is _-1.75___ standard deviations __Away____ the mean. b.) What percent of students did better than Jeff? What percent did worse?
Answer:
a.) The z-score of Jeff's SAT score is z=-1.75.
This means Jeff's score is 1.75 standard deviations below or away from the mean
b)
What percent of students did better than Jeff?
= 96% of the students did worse
What percent did worse?
= 4 % of the students did worse
Step-by-step explanation:
Consider SAT scores for 2009 high school graduates which are approximately normal with a mean of 1050 and a standard deviation of 150. a.) The z-score of Jeff's SAT score is z=-1.75.
This means Jeff's score is 1.75 standard deviations away from the mean.
b.)
The z-score of Jeff's SAT score is z=-1.75.
We have to find the percentile that Jeff is in by finding the probability of his z score using the z table
P(x<Z) = P(z = -1.75)
= 0.040059
Converting to percentage
= 0.040059 × 100
= 4.0059%
Approximately = 4%
Hence, Jeff is in the 4th percentile
This means Jeff scored higher than 4% of his colleagues
What percent of students did better than Jeff?
= 100 - 4%
= 96% of the students did better than Jeff.
What percent did worse?
4% of the students did worse
15. Find the largest number which divides 70
and 125 leaving remainders 5 and 8,
respectively
Answer:
13
Step-by-step explanation:
70 - 5 = 65
125 - 8 = 117
Find the Greatest Common Divisor of 65 & 117
65 = 5 * 13
117 = 3 * 3 * 13
GCD = 13
13 is the largest number that divides 70 & 125 and leaves remainders 5 and 8 respectively
The current temperature is 48 degrees Fahrenheit it is expected to drop 1.5 degrees each hour. Determine in how many hours the temperature will be 36 degrees Fahrenheit.
The answer is that it would take 8 hours for the temperature to drop down to 36 degrees.
1.5x8=12
1x8=8 and 0.5x8=4
In 8 hours the temperature will be 36°F from 48°F.
What is an equation?An equation is written in the form of variables and constants separated by the operation of multiplication and division,
An equation states that terms in different forms on both sides of the equality sign are equal.
Multiplication and division do not separate the terms of an equation.
Given, The current temperature is 48 degrees Fahrenheit it is expected to drop 1.5 degrees each hour.
Assuming the no. of hours to be x.
∴ 36 = 48 - 1.5x.
- 1.5x = - 12.
x = 8.
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If 3(m + n) is even, then which of the following must also be even ?
A.m + n
B.m
C.n
D.3m
E.3n + 1
The solution is, A. m + n, must also be even .
What is Even ?A number that is divisible by 2 and generates a remainder of 0 is called an even number. Examples of even numbers are 2, 4, 6, 8, 10, etc. For example, assume you have ten chocolates. These chocolates may be divided into two groups, each having five chocolates. So, ten is an even number.
here, we have,
given that,
If 3(m + n) is even
so, we get,
3(m + n) is divisible by 2.
i.e. m+n is must ne divisible by 2.
Hence, The solution is, A. m + n, must also be even .
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Estimate each of the following using general rule:
a) 4345 + 6784
b) 6947 x 378
Answer:
a) 11,129
b) 2,625,966
I think that the answer
When a correlation is found between a pair of variables, this always means that there is a direct cause and effect relationship between the variables.
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8800 = 6870(0.995) + 2500
Answer:
not sure what youre looking for but this is a false equation
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
8800 = 6870(0.995) + 2500
multiply
8800= 6835.65+2500
add
8800=9335.65
false
m^(2)-n^(2)+6n-9
Please factor this out completely and help me
Answer:
m^2-n^2+6n-9
m^2-6n^2-9
Which is an x-intercept of the graphed function?
(0,4)
(-1,0)
(4,0)
(0,-1)
Answer: (-1, 0)
Step-by-step explanation: It is the only point that crosses the x-axis and is an answer choice.
Please mark BrainliesT!
The graph below shows the relationship between time and distance traveled by a race car moving at a
constant rate and at its maximum speed. How long did it take the race car to travel 480 miles?
Race Car Data
Distance (miles)
800
700
600
500
400
300
200
100
0
0.5 1.5 2.5 3.5 4.5 5.5 6.5
Time (hours)
Answer:
2.4 hours
Step-by-step explanation:
The graph of the question is attached below.
A straight line graph is used to represent a linear equation. A linear equation is represented by the equation: y = mx + b, where y is the dependent variable, x is the independent variable, m is the rate of change and b is the intercept.
The equation of a line passing through two points \((x_1,y_1)\ and\ (x_2,y_2)\) is given as:
\(y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\)
Let y represent the distance in miles and x represent the time in hours. From the graph, the line pass through (1.5, 300) and (2.5, 500). Hence using:
\(y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-300=\frac{500-300}{2.5-1.5} (x-1.5)\\\\y-300=200(x-1.5)\\\\y-300=200x-300\\\\y=200x-300+300\\\\y=200x\\\\To\ find\ the\ time\ taken\ to\ travel\ 480 \ miles,we\ substitute\ y=480\ \\\\480=200x\\\\x=480/200\\\\x=2.4\ hours\)
3/4(8x+12)+x-5
this is hard can someone help
From the given expression, 3/4(8x+12)+x-5, the simplified expression is 7x + 4.
Simplifying an ExpressionFrom the question, we are to simplify the given expression.
To simplify the expression 3/4(8x+12)+x-5, we can follow the order of operations, which is commonly remembered using the acronym PEMDAS:
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
Using PEMDAS, we can simplify the expression as
3/4(8x+12)+x-5
Distributing 3/4 to the terms inside the parentheses
= 3/4 * 8x + 3/4 * 12 + x - 5
Simplifying the multiplication
= 6x + 9 + x - 5
Combining like terms
= 7x + 4
Hence, the simplified expression is 7x + 4.
Here is the complete question:
Simplify 3/4(8x+12)+x-5
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