The percent error that has resulted from the student's assumption is 0.5%.
The percent error is used to calculate the percentage error between an experimental measured value and a theoretical actual value.
Percentage error formula = |E-T|/|T| x 100
where E is the experimental value and T is the theoretical value.
Given, the experimental measured value (E) = 100.5 ml and theoretical actual value (T) = 100.0 ml
By using the Percentage error formula, simply put the value of the capacity of the test tube which was found by the student as an experimental measured value and real capacity of the test tube as a theoretical actual value, we get
=|(100.5−100.0)||100.0| × 100
=0.5/100×100
=0.005×100
=0.5%
=0.5% error
∴ 0.5% error has resulted from the student's assumption.
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1. For a fundraiser, the ratio of tickets you sold to tickets your friend sold was 11:5.
Does that mean you sold 11 raffle tickets and your friend sold 5 raffle tickets? Explain your
reasoning.
Answer:
No, for various value of x the number of tickets sold by me and my friend for the fundraiser can vary but will always remain in the ratio of 11:5.
Step-by-step explanation:
It is given that for a fundraiser, the ratio of tickets you sold to tickets your friend sold was 11:5.
Let us look at the ratio of tickets sold by both the persons.
Now, according to the condition given and the ratio mentioned in the question;
The number of tickets sold by me for the fundraiser be = 11x
and
The number of tickets sold by my friend for the fundraiser be = 5x
It is observed that total number of tickets sold by me and my friend are;
=> 11x + 5x
So, it is inferred that the number of tickets sold by me and my friend are not 11 and 5 respectively and can vary upon the value of x.
For instance, if the value of x = 2 than;
=> 11x + 5x
=> 11 × 2 + 5 × 2
=> 22 + 10
=> 32 tickets
Therefore,
No, for various value of x the number of tickets sold by me and my friend for the fundraiser can vary but will always remain in the ratio of 11:5.
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What are the domain and the range of this graph?
The domain is x≥0 and the range is y≥0.
The domain is x≥1 and the range is y≤2.
The domain is x≥2 and the range is y≥1.
The domain and range is the set of all real numbers.
The domain and range is the set of all real numbers.
the domain is 0...............
HELP ME PLEASEEE TY Abraham needs one-half of a point to get an A– in Math. What rational number can be used to represent the number of points needed for Abraham to get an A–?(1 point)
( ) point
The rational number that can be used to represent the number of points needed for Abraham to get an A will be 1.5.
What is a rational number?It should be noted that a rational number is the number that can be written as a fraction. It can be while numbers and decimals have well.
Therefore, since Abraham needs one-half of a point to get an A– in Math, the rational number that can be used to represent the number of points needed for Abraham to get an A willbe 1.5.
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What is -1/5 + 7/10 i keep getting 9/10 but on my hw paper the answer doesn’t match
Answer:
1/2
Step-by-step explanation:
1. LCD = 10
2. [tex]-\frac{1}{5} * \frac{2}{2} + \frac{7}{10}[/tex]
3.[tex]-\frac{2}{10} + \frac{7}{10}[/tex]
4. [tex]-\frac{2+7}{10}[/tex]
5. 5/10
6. Simplify : 1/2
Hope this helps!
--Blu
The value of a stock decreases by an average of 12 dollars each week. Which of the following represents the total average decrease in the stock after 4 weeks?
|−12| − 4 = 8 dollars
4|−12| = 48 dollars
|−12| − |4| = 8 dollars
−4|12| = 48 dollars
Answer:
4|−12| = 48 dollars.
Step-by-step explanation:
The question asks for the total decrease after 4 weeks. Since there is no such thing as negative weeks, A and C are disqualified. Since D is simply wrong math (-4x12=-48), it is also wrong.
pls help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
I did number 11 and 13 for you and gave an explanation, I hope this helped, if you need more help just comment and let me know, have a great day! <3
Step-by-step explanation:
If the equation is addition like number 11, all you have to do is subtract 1.7 from the solution; which is 4.98. It will look like this:
4.98 - 1.7 = 3.28
if the equation is subtraction like number 13, then you have to add 6.55 with the solution, which is 2.45, it will look like this:
6.55 + 2.45 = 9
Set up an equation and solve for x.
Based on the alternate exterior angles theorem, the equation is: 15x - 3 = 14x + 2
The value of x = 5.
What is the Alternate Exterior Angles Theorem?The angles, (15x - 3) and (14x + 2) are alternate exterior angles. Based on the alternate exterior angles theorem/postulate, they are congruent to each other.
Thus, the equation to create in solving for the value of x would be:
15x - 3 = 14x + 2
Subtract 14x from both sides of the equation
15x - 3 - 14x = 14x + 2 - 14x [subtraction property of equality]
x - 3 = 2
Add 3 to both sides
x - 3 + 3 = 2 + 3 [addition property of equality]
x = 5
In summary, based on the alternate exterior angles theorem, the equation is: 15x - 3 = 14x + 2
The value of x = 5.
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Write each expression as a single logarithm.
log₇x+log₇y-log₇z
Answer:
log₇(xy/z)
Step-by-step explanation:
We know that
[tex]\log_ax = b \implies a^b = x[/tex]
we also know that:
[tex]a^b \cdot a^c = a^{b + c}[/tex]
so it follows that
[tex]\log_ax + log_ay = log_a(xy)[/tex]
from:
[tex]\frac{a^b}{a^c} = a^{b - c}[/tex]
follows that
[tex]\log_ax - log_ay = log_a(\frac{x}{y})[/tex]
so
[tex]\log_7x + \log_7y - \log_7z = \log_7(xy) - \log_7z = \log_7(\frac{xy}{z})[/tex]
use the distributive property to rewrite this expression:
8(q+4)
Answer:
8q + 32 that is the answer to the problem using the distributive property
Nadira made this table of all the possible outcomes of rolling two 6-sided number cubes and finding the sum of the numbers facing up on the cubes. What is the probability of rolling a sum greater than 10?
Answer:
am pretty sure its 1/4 bc the first guys answer wasn't provided in the answer choices so i had to ask my teacher for help and the answer is 1/4 for those still stuck on this problem !!
Step-by-step explanation:
Solve for tt and simplify your answer.
-\frac{5}{4}t=
−
4
5
t=
\,\,9
9
Answer:
81?
Step-by-step explanation:
-
frac
5
4
t
= -4 ×
5
×
xt =
frac
(5
4
t)=-4
x 5 x x t
→ -
9×9
=
81
simplify the expression 5(2g + 3)
Answer:
10g+15
Step-by-step explanation:
5x2g=10g
5x3=15
I need help. who understands this I really need help here. Please.
Answer:
180= (2x-24 )+ (x+5)
180= 3x-21
+21 +21
201=3x
/3 /3
67=x
What is the answer to the following : 4/7 times 4/7
Given:
[tex]\frac{4}{7}[/tex] × [tex]\frac{4}{7}[/tex]Solution in Exact Form:
[tex]\frac{16}{49}[/tex]Hope this helps!
Collect like terms: a) a³, a², 2ab, 2a², a, -a²
Answer:
-a²,a, a²,2a²,a³,2ab
Step-by-step explanation:
-------
supongamos que hay una temperatura de 1.3ºF por cada mil pies que un avión sube al cielo, la temperatura en el suelo es -2.8ºF. escriba una ecuación de multiplicación para representar el cambio de temperatura después de que el avión ascienda .10000 fest ¿cuál será la temperatura cuando el avión alcance una altitud de 10.000 pies?
Answer: Total temperature = -6.66ºF
Step-by-step explanation:
Given data,
First temperature = 1.3ºF
Second temperature = -2.8ºF
Fest = 10.000
So,
We can write,
1.3º x + (-2.8º) x = 10.000
x (1.3º - 2.8º) = 10.000
x (-1.5º) = 10.000
x = 10.000/-1.5º
x = -6.66ºF
Therefore,
Total temperature = -6.66ºF
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How many ways can you make a 3 letter arrangements out of the letters in the word trapezoid
Answer:
504 ways fr
Step-by-step explanation:
Find the other endpoint for the midsegment of the given trapezoid.
Applying the midpoint formula, the endpoints for the midsegment are (-0.5, 0.5) and (-5/2, -7/2).
What is a Midsegment of a Trapezoid?The midsegment of a trapezoid is the line segment that intersects the two legs of the trapezoid at their midpoints.
Hence, to find the endpoint for the midsegment of the other leg of the trapezoid, apply the midpoint formula, M[(x2 + x1)/2, (y2 + y1)/2].
Find the midpoint between A(-2, -5) and B(-3, -2):
A(-2, -5) = (x1, y1)
B(-3, -2) = (x2, y2)
Plug in the values
M[(-3 + (-2))/2, (-2 + (-5))/2]
M(-5/2, -7/2)
Therefore, using the midpoint formula, the endpoints for the midsegment are (-0.5, 0.5) and (-5/2, -7/2).
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Answer:
-2.5,-3.5
Step-by-step explanation:
The name of the figure below is ___ ___
(Name the type of figure and its letter name: for example: ray AB)
Answer:
Segment VU (or u can say UV)
Step-by-step explanation:
A line segment has two endpoints. It contains these endpoints and all the points of the line between them. You can measure the length of a segment, but not of a line.
HELPPPP
Question 11 (1 point)
(02.05 LC)
What number is 70% of 60?
Input only whole numbers. (1 point)
Blank 1:
Answer: 42
Step-by-step explanation:
70% = 70/100 as a fraction. 60 is 60/1 as a fraction.
Using this information, set up your question.
--> 70/100 x 60
Multiply the fractions together and you get 4200/100. This then simplifies/is equivalent to 42. Therefore, 70% of 60 is 42.
A
-5-(-y)
B
-5+y
C
y-5
Part A: Evaluate the 3 expressions when y = 2.
Part B: Are the expressions equivalent to each other?
Explain.
Answer:
-3
Step-by-step explanation:
yes the expressions are equivalent to each other.
as,
A=-5+y, B=-5+y, C=y-5
Question 7 (1 point)
The use of electricity in the US in 1902 was 6.03 x 10^9 kilowatt-hours.
The use of electricity in the US in 1950 was 4.3 x 10^11 kilowatt-hours.
What was the total kilowatt-hours of electricity used during these two years?
Ob
Oc
Od
(6.03 x 10^9) + (4.3 x 10^11) = 10.33 x 10^20 = 1.033 x 10^19
(6.03 x 10^9) + (4.3 x 10^11) = (0.0603 x 10^11) + (4.3 x 10^11) = 4.3603 x 10^11
(6.03 x 10^9) x (4.3 x 10^11) = 25.929 x 10^20 = 2.6 x 10^19
(6.03 x 10^9) x (4.3 x 10^11) = 25.929 x 10^2 = 2.6 x 10^1
Using scientific notation, the total kilowatt-hours of electricity used during these two years is:
(6.03 x 10^9) + (4.3 x 10^11) = (0.0603 x 10^11) + (4.3 x 10^11) = 4.3603 x 10^11
What is scientific notation?A number in scientific notation is given by:
[tex]a \times 10^b[/tex]
With the base being [tex]a \in [1, 10)[/tex].
For two numbers in scientific notation to be added or subtracted, they need to have the same exponent.
Thus, the first amount has to have an exponent of 10^11, meaning that the exponent has to be added by 2 = equivalent to addition by 100, and to compensate the base has to be divided by 100, hence:
(6.03 x 10^9) + (4.3 x 10^11) = (0.0603 x 10^11) + (4.3 x 10^11) = 4.3603 x 10^11
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A small child weighs 60N. If mommy left him sitting on the top of stairs, which are 10 m high, how much energy does the child have?
The energy is 6000 joules.
What is Energy?The stored energy that depends upon the relative position of various parts of a system.
Given:
weight = 60N
height = 10 m
So, the energy is
Energy=mgh,
Energy =60*10*10
Energy =6000 joules
Hence, the energy is 6000 joules.
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What is the slope-intercept equation of a line that goes through
(8,5) and (7,4)?
Write the equation in standard form of a line that goes through
(-15,2)is perpendicular to a line has a slope of-5.
What is the point slope equation of a line that goes through
(-2,-7) and is parallel to y=14x-3?
If y and x vary directly and y=1.4when x=3.2, what is x when y=2.6? Round to two decimal places.
1. The slope-intercept equation of the line is: y = x - 3.
2. The equation of the line in standard form is: -1/5x + y = 5
3. The equation in point-slope form is: y + 7 = 14(x + 2)
4. The value of x ≈ 5.94
How to Find the Slope?Slope (m) = y2 - y1/x2 - x1.
There are three ways too write the equation of a line, they include:
As slope-intercept form, y = mx + bAs point-slope form, y - b = m(x - a)As standard form, Ax + By = C.1. find the slope (m) of the line that passes through (8, 5) and (7, 4):
Slope (m) = (5 - 4)/(8 - 7)
Slope (m) = 1/1
Slope (m) = 1
Substitute m = 1 and (a, b) = (8, 5) into y - b = m(x - a):
y - 5 = 1(x - 8)
y - 5 = x - 8
y = x - 8 + 5
y = x - 3
The slope-intercept equation is: y = x - 3.
2. The slope of perpendicular lines are negative reciprocals, therefore, the slope of the line perpendicular to the line that has a slope of -5 would be, m = 1/5.
Substitute m = 1/5 and (a, b) = (-15, 2) into y - b = m(x - a):
y - 2 = 1/5(x - (-15))
y - 2 = 1/5(x + 15)
y - 2 = 1/5x + 3
y = 1/5x + 3 + 2
y = 1/5x + 5
-1/5x + y = 5 [standard form]
3. Parallel lines have the same slope. The slope of y = 14x - 3 is 14. The line that is parallel to y = 14x -3 would also be, m = 14.
Substitute m = 14 and (a, b) = (-2, -7) into y - b = m(x - a):
y - (-7) = 14(x - (-2))
y + 7 = 14(x + 2) [point-slope equation]
4. y = kx
1.4 = k3.2
1.4/3.2 = k
The equation would be: y = 1.4/3.2x
Substitute y = 2.6 to find x:
2.6 = 1.4/3.2x
(2.6)(3.2) = 1.4x
8.32 = 1.4x
8.32/1.4 = x
5.94 ≈ x
x ≈ 5.94
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Please Help its A Geometry Question I will AWard Brainlist thank you
I just answered something very similar to this haha, but the sum of all exterior angles, regardless of the polygon's sides is always equal to 360 degrees, so our sum is 360°
Cassie has a small cube-shaped box.its volume is 125 cubic centimeters what is the area of the area of one face of the box ?
Answer: 5
Step-by-step explanation:
is the relationship between the time spent swimming and the number of weeks proportional? the points a straight line that through the orgin.
The relationship is proportional because, the points lie on a straight line that goes through the origin.
What is a Proportional Relationship?A relationship that is proportional has a straight line graph that must pass through the origin, whereby the constant of proportionality, k = y/x, where x and y are the variables of the proportional relationship.
An example of a graph that represents a proportional graph is shown in the attachment below. The graph is a straight line graph that passes through (0, 0), which is the origin. The constant of proportionality, k = 21/7 = 3.
Thus, for the relationship between time spent swimming and the number of weeks to be proportional, it means that:
the points lie on a straight line that goes through the origin.
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Find the area of the rectangle with the given base and height
5 ft, 2 inch
The area of the rectangle with a base of 5ft and a height of 2 inches is: 120 square inches.
How to Determine the Area of a rectangle?The area of a rectangle is the product of the length of its base and its height.
Area of rectangle = (base)(height)
Given the parameters:
Length of the base of the rectangle = 5 ft
[Note: 1 ft = 12 inches]
Convert 5 feet to inches
5 feet = (5)(12) = 60 inches
Height of the rectangle = 2 inches
Substitute
Area of the rectangle = (60)(2)
Area of the rectangle = 120 square inches
In conclusion, the area of the rectangle with a base of 5ft and a height of 2 inches is: 120 square inches.
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Multiply and simplify. 6√4 x² . 2√9 x² y²
Solving the problem by multiplying and simplifying we have as a result 72x⁴y²
What is simplification?Simplification is a process of reducing terms to expressions, which do not generate changes or values.
What is multiplication?Multiplication is also known as product, and it is a mathematical operation of a successive sum, this operation consists of adding a number a certain number of times:
a x b the number "a" will be added "b" times.
The algebraic expression that we must simplify to its minimum expression is:
6√4 x² . 2√9 x² y² we can see that it is an expression that has two variables
6×2x² × 2×3x²y²
12x² × 6x²y² ; multiply power of equal base
72x⁴y²
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The same honey is sold in two different size jars.
Large Jar 540g for £4.10
Small Jar 360g for £2.81
By considering the amount of honey per penny, work out which jar is the best value for money. Working must be shown.
From unitary method calculations, we have found that the large jar is the best value for money because a penny buys more honey.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We need to determine which has the best value for money using the quantity a pound can purchase.
So, first for the large jar.
£4.10 will be purchase 540g of honey then,
£1.00 will be purchase xg
Then cross multiplying for x will be;
x = 1.00 (540g )/4.10
x = 131.7g
Hence for the large jar a penny will buy 131.7g of honey.
Now second for the small jar
£2.81 will be purchase 360g of honey then,
£1.00 will purchase xg
Now cross multiplying
x = 1.00 (360g )/ 2.81
x = 128.1g
Hence for the small jar a penny will buy 128.1g of honey.
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