Answers
or
-2 is greater than -5
-----------------------------------------------------------------------------------------------------------
a loss of 5 points is greater in magnitude than a loss of 2 points
meaning that the person who lost 5 points had a bigger loss (even though -5 is smaller than -2)
Another way to think of it: -5 is further away from 0, compared to the distance from -2 to 0. I recommend drawing a number line if you're having trouble visualizing it.
Related Questions
The potential due to a point charge q at the origin may be written as v=q4πϵ0r=q4πϵ0x2+y2+z2√ part a calculate ex using equation ex=−∂v∂x.
Answers
[tex]v= \frac{q}{4 \pi \epsilon _{0} r} = \frac{q}{4 \pi \epsilon _{0} \sqrt{x^{2}+y^{2}+z^{2}} } [/tex]
The x-component of electric field is
[tex]e_{x} = - \frac{\partial v}{\partial x} = -\frac{q}{4 \pi \epsilon {0}}(- \frac{1}{2}) \frac{2x}{(x^{2}+y^{2}+z^{2})^{3/2}} = \frac{qx}{4 \pi \epsilon _{0} (x^{2}+y^{2}+z^{2})^{3/2}} [/tex]
Answer:
[tex]e_{x} = \frac{qx}{4 \pi \epsilon _{0} (x^{2}+y^{2}+z^{2})^{3/2}} [/tex]
Eₓ = [(qx) / [(4πϵ₀r)√(x² + y² + z²)³]
Further explanation
In this problem, we will solve the derivatives of the composite function. The formula used is the chain rule as follows.
[tex]\boxed{ \ If \ f(x) = h(g(x)) \ then \ f'(x) = h'(g(x)) \times g'(x) \ }[/tex]
In words: differentiate the outer function, then multiply it by the derivative of the innermost function.
Given:
[tex]\boxed{ \ V = \frac{q}{4 \pi \epsilon_0 r} \rightarrow V = \frac{q}{4 \pi \epsilon_0 r \sqrt{x^2 + y^2 + z^2}} \ }[/tex]
Question:
Calculate the x-component of electric field by using [tex]\boxed{ \ E_x = - \frac{\delta V}{\delta x} \ }[/tex]
The Process:
This case is a derivative application for electrostatics in physics.
The potential due to a point charge q at the origin may be written as
[tex]\boxed{ \ V = \frac{q}{4 \pi \epsilon_0 r \sqrt{x^2 + y^2 + z^2}} \rightarrow V = \frac{q}{4 \pi \epsilon_0 r}(x^2 + y^2 + z^2)^{-\frac{1}{2}} \ }[/tex]
The outside function is [tex] \boxed{ \ h(x) = \frac{q}{4 \pi \epsilon_0 r}(g(x))^{-\frac{1}{2}} \ } [/tex]The inside function is [tex]\boxed{ \ g(x) = x^2 + y^2 + z^2 \ }[/tex]Let's determine the derivative and run the composite function rule.
The outside function: [tex] \boxed{ \ h'(x) = -\frac{1}{2} \frac{q}{4 \pi \epsilon_0 r}(g(x))^{-\frac{3}{2}} \ } [/tex]The inside function: [tex]\boxed{ \ g'(x) = 2x \ }[/tex]Let us calculate the x-component of electric field by using
[tex]\boxed{ \ E_x = - \frac{\delta V}{\delta x} \ }[/tex]
The composite function rule tells us that
[tex]\boxed{ \ V(x) = h(g(x)) \rightarrow V'(x) = h'(g(x)) \times g'(x) \ }[/tex]
Therefore, [tex]\boxed{ \ E_x = - V'(x) \rightarrow -[h'(g(x)) \times g'(x)] \ }[/tex]
[tex]\boxed{ \ E_x = -[-\frac{1}{2} \frac{q}{4 \pi \epsilon_0 r}(x^2 + y^2 + z^2)^{-\frac{3}{2}} \times 2x] \ }[/tex]
Thus, the result is [tex]\boxed{\boxed{ \ E_x = \frac{qx}{4 \pi \epsilon_0 r}(x^2 + y^2 + z^2)^{-\frac{3}{2}} \ }}[/tex]
[tex]\boxed{\boxed{ \ E_x = \frac{qx}{4 \pi \epsilon_0 r \sqrt{(x^2 + y^2 + z^2)^3} }} \ }}[/tex]
Learn moreUsing the product rule https://brainly.com/question/1578252 The characteristics of electromagnetic waves https://brainly.com/question/727976 Determine the density of our sun at the end of its lifetime https://brainly.com/question/5189537Keywords: calculus, differential, the composite function rule, the potential due to a point charge q, at the origin, physics, application, the chain rule
Find the equation of the parabola y = ax^2 + bx + c that is tangent to the line y = x - 1 at (0,1)
Answers
Differentiate y = ax^2 + bx + c with respect to x: dy/dx = 2ax + b. This is the slope of the tangent line to the parabola at (0,1) But we already know that the line y = x - 1 is tangent to the parabola at (0,1). Thus, 2ax + b = 1 (because the slope of y = x - 1) is 1). At (0,1), 2a(0) + b = 1, so b=1.
Thus, the equation of the parabola becomes more evident:
a) since (0,1) satisfies this equation, 1 = a(0)^2 + 1(0) + c, so c=1
Then y = ax^2 + 1x + 1, and we need only find the value of a.
Since the graph of y = ax^2 + 1x + 1 passes thru (0,1),
y = 1 = a(0)^2 + 1(0) + 1, or 1 = a(0)^2 + 1. 1 = 1, yes, but this does not tell us the value of a!
Is it possible that a could have any value?
Let a = 1. Then y = 1x^2 + 1x + 1. What is the slope of the tan. line to this curve? Differentiating, dy/dx = 2x + 1. At x = 0, the slope of the tan. line is 1. This agrees with the given y= 1x - 1.
Thus, for a = 1 at least, y = 1x^2 + 1x + 1 is the equation of the parabola.
Graphing this equation and the equation of the given line y = x -1 shows that y = x - 1 is tangent to the graph of y = x^2 + x + 1.
Nadine is constructing a line perpendicular to KE←→ . She has constructed the arcs as shown. What is the next step in her construction?
Use a straight edge to draw a line through D and M.
Use a straight edge to draw a line through M and K.
Use a straight edge to draw a line through M and E.
The image shows a horizontal line with points K, D, and E from left to right. Point D looks halfway between points K and E. An arc is shown at point K turning inwards towards point D. An arc is shown at point E turning inwards towards point D. Above point D is point M. Two arcs go through point M. One arc faces southwest towards point K and one points southeast towards point E. A line m and an arc. An arc is drawn on line m through center P. Center P lies above the line m. The arc cuts the line on two points labeled as X and Y. Two rays share a common endpoint at R. One ray is horizontal, pointing to the left. The second ray is vertical in an upward direction. A horizontal line segment M N with endpoints labeled as M and N. A horizontal line j and a point A are drawn. The point A is below the horizontal line j.
Answers
Which of the functions sketched below could be a probability density function?
Answers
HELP PLZ Which math expression represents the phrase? 9 times the sum of a number and 7 A. 9 · n + 7 B. 9 · (n + 7) C. 9 · (n – 7) D. 9 · (n · 7)
Answers
Sum implies addition.
We would write this part as n + 7.
Then we would write the "9 times" part in like this:
9 · (n + 7)
We can't write just 9 · n + 7 without the parentheses, because then we would be multiplying just 9 and n instead of 9 and the sum of n and 7. (order of operations says we must do multiplication first)
ok i have calculated this and i srill havent got the right answer
Answers
66-19.8 = 46.2
66 x 0.05 = 3.3
46.2 + 3.3 = 49.5
B
If you discount them by 30%, you will only pay 100% - 30% = 70% of their original price.
70% of $66 =
= 70% * $66
= 0.7 * $66
= $46.2
2. Now you have an item that costs $46.20, and you need to pay 5% tax on it.
$46.20 is 100% of the price of the shoes.
If you add 5% to the price, you need to pay 100% + 5% = 105% of the price.
105% of $46.20 =
= 105% * $46.20
= 1.05 * $46.20
= $48.51
Answer: $48.51
Find the slope of the line passing through the points , (−7,2) and , (9,6) .
Answers
6-2 = 4
9- -7 =16
4/16 = 1/4
slope = 1/4
y₂ - y₁
------- = slope
x₂ - x₁
choose one as your "2" & the other as your "1" Plug them in
6 - 2
------
9 - (-7)
4/16
simplify the fraction
4/16 = 1/4
the slope is 1/4
hope this helps
can someone help me please
show your work
Answers
Answer:
a.
[tex]l = 2w - 3[/tex]
b. Yesterday, Gina again mixed red and white paint and made the same amount of paint, but she used one more pint of red paint than she used last week. Predict how the new paint color will compare to the paint she mixed last week
Answers
in 3/4 pound of a spice mix there is 5/6 cup of cinnamon. how much cinnamon dose the spice mix contain per pound
Answers
[tex]\bf \cfrac{3}{4}=\cfrac{5}{6c}\implies 18c=20\implies c=\cfrac{20}{18}\implies c=\cfrac{10}{9}\implies c=1\frac{1}{9} [/tex]
What is the length y of the remaining, vertical side of the 30-60 right triangle?
Answers
The length of side y in the right triangle, with a hypotenuse of 14 cm and legs measuring 7 cm and y cm is determined to be 16.16 cm.
The triangle has a hypotenuse of 14 cm, and the other two sides are 7 cm and y cm.
Setting up the Equation for sin 60°:
In the given figure, sin 60° is defined as the ratio of the side opposite the angle to the hypotenuse.
The equation is set up as sin 60° = y / 14.
Substituting the Value of sin 60°:
The sine of 60 degrees is known to be √3/2.
Substitute sin 60° with √3/2 in the equation: √3/2 = y / 14.
Isolating y in the Equation:
Multiply both sides of the equation by 14 to isolate y: √3y = 28.
Solving for y:
Divide both sides of the equation by √3 to solve for y: y = 28/√3.
Rationalizing the Denominator:
Multiply the numerator and denominator of y by √3 to rationalize the denominator: y = (28√3)/3.
Simplifying the Expression for y:
The final step simplifies the expression by dividing both numerator and denominator by 3: y = 16.16 cm.
Therefore, the length of side y in the given right triangle is 16.16 cm.
A hypotenuse of 14 cm and legs of 7 cm and y cm, the length of side y in a right triangle is calculated to be 16.16 cm.
The triangle's two other sides are 7 cm and y cm, and its hypotenuse measures 14 cm.
Configuring the Equation for 60° Sin:
As seen in the illustration, sin 60° is the side opposite the angle divided by the hypotenuse.
The formula is written as follows: sin 60° = y / 14.
Replacing the Value of Sin 60° with:
It is known that the sine of sixty degrees is √3/2.
Replace √3/2 with sin 60° in the equation: y / 14 = √3/2.
Calculating y in the Equation: To isolate y, multiply both sides by 14: √3y = 28.
Finding y':
To find y, divide both sides of the equation by √3. y = 28/√3.
Making Sense of the Denominator
To rationalize the denominator, multiply both the numerator and denominator of y by √3. y = (28−3)/3.
The Expression for y Simplified:
In the last stage, the formula is made simpler by dividing the denominator and numerator by three: y is equal to 16.16 cm.
As a result, side y in the supplied right triangle has a length of 16.16 cm.
A tree has a height of 18 feet and casts a shadow that is 6 feet in length. A boy, standing at the base of the tree’s shadow, has a height of 4 feet. How long is the shadow cast by the boy?
Answers
height of the three / its shadow = height of the boy / it shadow
18 / 6 = 4 / x => x = 4*6 / 18 = 24 / 18 = 4 / 3
Convert to mixed number: 4 / 3 = 1 and 1/3.
So, the answer is the option A. [tex]1 \frac{1}{3} feet[/tex]
When solving -1/3 (x − 15) = −4, what is the correct sequence of operations? Please help!! 15 points
Answers
-1/3(x-15) = -4
1st step distribute(multiply) the -1/3 with what is inside parenthesis
-1/3x + 5 = -4
2nd step subtract 5 from both sides of the equation
-1/3x = -9
3rd step divide both sides of the equation by -1/3 to get x
x = -9 / -1/3
x = 27
This is how I'd do it:
1) Multiply both sides by -3
2) Add 15 to both sides.
In only two steps you get the solution.
(9-13)-(56-65) =5
Replace the question mark to create a TRUE STATEMENT.
Answers
and the statement is true
A punch recipe says to mix 4 cups pineapple juice, 8 cups orange juice, and 12 cups seltzer in order to make 18 servings of punch. How many cups of each ingredient do you need to make 108 cups of punch? How many servings can be made from 108 cups of punch? For every cup of seltzer you use, how much orange juice do you use?
Answers
We know how many servings there are in 108 cups.
4 × 6 = 24
8 × 6 = 48
12 × 6 = 72
You need 24 cups of pineapple juice, 48 cups of orange juice, and 72 cups of seltzer to make 108 cups of punch.
I hope that helped! :)
0.52 reapeating as a fraction
Answers
[tex]\bf 0.5252\overline{52}\qquad \boxed{x=0.5252\overline{52}} \\\\\\ \begin{array}{llll} 100\cdot x&=&52.5252\overline{52}\\ &&52+0.5252\overline{52}\\ &&52+\boxed{x}\\ 100x&=&52+x \end{array} \\\\\\ 100x-x=52\implies 99x=52\implies x=\cfrac{52}{99}[/tex]
The product of 1.3×10^-4 and a number n results in 2.6×10^12 , what is the value of n?
Answers
Answer:
2x10^16
Step-by-step explanation:
ik im late but in case anyone still needs it
also tell me if u want an explanation
Express each rate as a unit rate.
8 tomatoes for $2
Answers
Each tomato is 0.25 cents a piece
Write the following term as a cube. 64z^9
(Type your answer using exponential notation.)
Answers
z^9 is (z³)³
so 64z^9 can be written into (4z³)³
A store plans to mark down all dresses by 60%. Julie wants to purchase a dress that is currently priced at $75. What amount of money will Julie save if she buys the dress after the store marks it down?
Answers
Answer:45
Step-by-step explanation:For Julie's situation, the percent equation becomes:
money saved = percent of markdown × current price
Since the markdown is 60% off $75,
money saved====percent of markdown × current price60%×$750.6×7545
So, Julie will save $45.
Which is a valid proportion?
A. 3/4=21/28
B. 5/6=29/30
C.4/7=16/49
D.2/5=12/15
Answers
You would multiply both the 3 & 4 is 3/4 by 7 to get 21/28.
Hope this helps!
Can u plz mark me as brainliest? I really need it!
You can have branliest if you want, never had it but it cool! Ur smarter and we’re first! :)
The following table gives the scores of 30 students in a mathematics examination. Scores 90–99 80–89 70–79 60–69 50–59 Students 3 7 12 4 4 Find the mean and the standard deviation of the given data. Hint: Assume that all scores lying within a group interval take the middle value of that group. (Round your answers to two decimal places.)
Answers
Scores: 90-99 80-89 70-79 60-69 50-59
Students: 3 7 12 4 4
Because we are to take the middle value for each group.
Therefore the total score is
Sx = 3*94.5 + 7*84.5 + 12*74.5 + 4*64.5 + 4*54.5 = 2245
The number of students is 3+7+12+4+4 = 30
The mean is
m =2245/30 = 74.833
Calculate (Sx - m)²
(Sx - m)² = 3*(94.5-74.833)² + 7*(84.5-74.833)² + 12*(64.5-74.833)²
+ 4*(64.5-74.833)² + 4*(54.5-74.833)² = 3896.7
Calculate the standard deviation
s = √(3896.7/29) = 11.592
Answer:
mean = 74.83
std. deviation = 11.59
If someone sleeps 8 hours a day for 75 years how many hours did that person sleep in his lifetime?
Answers
There are 365 days in a year and 366 days in a leap year.
A leap year occurs every 4 years.
If we divide 75 by 4, we get 18.75. This number represents how many leap years occurred in 75 years. So, the person experienced approximately 19 leap years.
19 leap years has 6954 days.
The other 56 years, which have 365 days each year, have a total of 20,440 days.
That's a total of 27,394 days.
27,394 × 8 = 219,152 hours
This is approximately 24 years or 9,131 days.
Stacy wishes to make a hamburger which is lower in fat without having to give up the great taste. She purchases 5 pounds of ground beef which is 15% fat and combines it with 7 pounds of ground turkey which is only 3% fat. What is the percentage of fat in the mixture?
Please help, 15 pts.
Answers
Amount = 5 lb
Fat = 15% of 5 lb = 0.15*5 = 0.75 lb fat
Turkey:
Amount = 7 lb
Fat = 3% of 7 lb = 0.03*7 = 0.21 lb fat
Total mass = 5 + 7 = 12 lb
Total fat = 0.75 + 0021 = 0.96 lb
Percent fat = 100*(0.96/12) = 8%
Answer: 8%
So, 15 x 5 + 3 x 7
= 75 + 21
= 96
After mixture, Total weight is 12 pounds,
So, 96 ÷ 12 = 8%
Therefore, 8% is the correct answer.
What is 3.659090909090909 as a fraction?
Answers
Since there are 16 digits in 659090909090909 , the very last digit is the "10000000000000000th" decimal place.
So we can just say that .659090909090909 is the same as 659090909090909 /10000000000000000.
The fraction fmtterm: Can't handle [-2147483648/-2147483648] 3? is not reduced to lowest terms. We can reduce this fraction to lowest
terms by dividing both the numerator and denominator by -2.14748e+09.
Why divide by -2.14748e+09? -2.14748e+09 is the Greatest Common Divisor (GCD)
or Greatest Common Factor (GCF) of the numbers 6.59091e+14 and 1e+16.
So, this fraction reduced to lowest terms is
So your final answer is: 3.659090909090909 can be written as the fraction
What is the scale factor of Triangle ABC to Triangle DEF?
Answers
Answer:
1
Step-by-step explanation:
Patrick is reading a book about forest animals. He has read 3/4 of the 100 pages in his book. Nicholas has read 2/3 of the 120 pages about alpine flowers. who has more pages to read in his book?
Answers
Final answer:
Upon calculating, Nicholas, who is reading about alpine flowers, has more pages left to read (40 pages) in his book compared to Patrick, who is reading about forest animals and has 25 pages left.
Explanation:
The question asks who has more pages to read in his book between Patrick, who is reading about forest animals, and Nicholas, who is reading about alpine flowers. To determine this, let's calculate the pages each has already read and then subtract that from the total number of pages in their respective books.
For Patrick: He has read 3/4 of the 100 pages. This means he has read 75 pages (since 3/4 of 100 is 75), leaving him with 25 pages to read.
For Nicholas: He has read 2/3 of the 120 pages. This means he has read 80 pages (since 2/3 of 120 is 80), leaving him with 40 pages to read.
Comparing the pages left to read, Nicholas has more pages to read in his book about alpine flowers than Patrick does in his book about forest animals.
Karyn proofreads 15 pages in 2 hours for $40. What is her proofreading rate in pages per hour?
Answers
2 hours = 15 pages
1 hour = 15 / 2
= 7.5 pages
15 pages = $40
1 page = $40 / 15
= $2.666666666666667
7.5 pages= $2.666666666666667 x 7.5
= $20
Hope this helps :))
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The level of calcium in the blood of healthy young adults follows a normal distribution with mean $\mu=10$ milligrams per deciliter and standard deviation $\sigma=0.4$. a clinic measures the blood calcium of 25 healthy pregnant young women at their first visit for prenatal care. the mean of these 25 measurements is $\bar{x}=9.6$ we want to test the hypotheses $h_0$: $\mu=10$ vs. $h_a$: $\mu<10$ what does it mean if the p-value is 0.0002.
Answers
The p-value of 0.0002 indicates strong evidence against the null hypothesis and suggests that the mean blood calcium level in pregnant young women is less than 10 milligrams per deciliter.
The p-value of 0.0002 indicates the probability of obtaining a sample mean as extreme as 9.6, assuming the null hypothesis (μ = 10) is true.
A p-value of 0.0002 is less than the commonly used significance level of 0.05, which suggests strong evidence against the null hypothesis.
Therefore, we reject the null hypothesis in favor of the alternative hypothesis (μ < 10).
This means that there is sufficient evidence to suggest that the mean blood calcium level in pregnant young women is less than 10 milligrams per deciliter.
The probable question may be:
The level of calcium in the blood of healthy young adults follows a normal distribution with a mean (\(\mu\)) of 10 milligrams per deciliter and a standard deviation (\(\sigma\)) of 0.4. A clinic measures the blood calcium of 25 healthy pregnant young women at their first prenatal care visit, resulting in a sample mean (\(\bar{x}\)) of 9.6.
Now, we want to test the hypotheses \(H_0: \mu = 10\) versus \(H_a: \mu < 10\). If the computed p-value is 0.0002, what does this indicate in the context of hypothesis testing?
WHOEVER ANSWER THIS AND HAS THE SMARTEST ANSWER I WILL MARK YOU AS BRAINLIEST. 15 out of 20 students own hand-held games; 105 out of 160 students own hand-held games. Determine if each pair of ratios or rates are equivalent. Show ALL your work.
Answers
The second ratio would be 21:32 (also dividing by five).
To determine if they are equivalent rates, you must somehow make them even. Multiplying 3:4 by 7 would give you 21:28. Thus proving they are not equivalant.