Ok, so:
We know that Walter could buy 2 bags for $12 each, 3 bags for $8 each, and 4 bags for $6 each.
Let me draw a table to see the situation clearly.
B is bag, and P is price.
We can clearly see that if the number of bags increases, the price is decreasing. So, we know that this is an inverse variation. Now, what option would be the most appropiate?
If the number of bags is "x", and "y" is the price, we notice that the product x*y is always 24. And from the table, we know that this is an inverse variation.
So the answer, is B.
HELP please.
Q1: A disc has a diameter of 16cm while a mini disc has a diameter of 12cm. Write the ratio of the mini disc diameter to the disc diameter. Type the ratio as a simplified fraction.
Q2: write the ratio as a ratio of whole numbers using fractional notation. Write the fraction in simplest form.
8.3 to 10
The ratio of 8.3 to 10 is ___
Answer:
Q1: \(\frac{3}{4}\)
Q2: \(\frac{83}{100}\)
Step-by-step explanation:
Q1: 12 : 16 = 3 : 4 = \(\frac{3}{4}\)
Q2: 8.3 : 10 = \(\frac{83}{100}\)
calculate the following 2+2
Answer:4
Step-by-step explanation:
2+2 is 4
Harry started to wash his car at 11:30 am. He washed it for 45 minutes before having a half an hour break. He then cleaned the inside of his car for 25 minutes. What time did he finish?
Answer:
1:10 pm
Step-by-step explanation:
11:30 + 45 minutes = 12:15
12:15 + 30 minutes = 12:45
12:45 + 25 minutes = 1:10 pm
x2 + 5x – 9 = 5Which of the following values of x satisfies the equationabove?A. 7 B. 3 C. –2 D. –7
The easiest way to answer this is to plug in all of the given choices to see which of them will satisfy the given equation.
\(\text{ x}^2\text{ + 5x - 9 = 5}\)We get,
Choice A: 7
\(\text{ x}^2\text{ + 5x - 9 = 5}\)\(\text{ (7)}^2\text{ + 5(7) - 9 = 5}\)\(\text{ 49 + 35 - 9 = 5}\)\(\text{ 84 - 9 = 5}\)\(\text{ 75 }\ne\text{ 5}\)Therefore, x is not equal to 7.
Choice B: 3
\(\text{ (3)}^2\text{ + 5(3) - 9 = 5}\)\(\text{ 9 + 15 - 9 = 5}\)\(\text{15 }\ne\text{ 5}\)Therefore, x is not equal to 3.
Choice C: -2
\((-2)^2\text{ + 5(-2) - 9 = 5}\)\(\text{ 4 - 10 - 9 = 5}\)\(\text{ -15 }\ne\text{ 5}\)Therefore, x is not equal to -2.
Choice D: -7
\((-7)^2\text{ + 5(-7) - 9 = 5}\)\(\text{ 49 - 35 - 9 = 5}\)\(\text{ 5 = 5}\)Therefore, x = -7
The answer is letter D : -7
{6x+5y=4
{6x-7y=-20
solve by elimination
Answer:
x = -1, y = 2
Step-by-step explanation:
6x + 5y = 4
6x - 7y = -20
We already have a similar leading coefficient (6 for X), so we just subtract equation 1 from equation 2 to get:
12y = 24
Now solve normally:
y = 2
Then substitute into the first equation (or second, it doesn't matter)
6x + 10 = 4
6x = -6
x = -1
Which of the following is the correct if clause to determine whether y is in the range 10 through 50, inclusive? (Points : 1) A) ify>=10 and y <= 50: B) if10 > y and y < 50: C) if y >= 10 or y <= 50; D) if 10,y ory.50
We follow the inclusive rule, The answer to the question is (A) that is
if y>=10 and y <=50
What do you mean by intervals?In mathematics, an interval is expressed in numerical terms. All the numbers between two specific integers are referred to as an interval. All actual values between those two are included in this range. Any form of number you may imagine is a real number.
What are the symbols and their meaning of the intervals?The intervals used are:
(a , b) , All the numbers between a & b without including them.
[a, b] , All the numbers between a & b including them.
y lies in [10,50].
And since it means that it includes 10 and 50 and all the numbers between them.
The final answer is (A) that is if y>1=10 and y <=50.
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determine the value of x?
Answer:
x=38 degrees
Step-by-step explanation:
supplemental angle to 114 degrees is 66 degrees
180=x+2x+66
3x=114
x=38 degrees
Find the equation of the parabola with the following properties. Express your answer in standard form.
Focus at (4, -3)
Directrix is the line x = 0
The standard form of the equation of the parabola with a focus of (4, -3), and a directrix of x = 0 is; (y + 3)² = 8·(x - 2)
How can the equation of a parabola be found from the focus and the directrix?The equation of a parabola with a focus (4, -3) and a directrix of x = 0, can be found using the definition of the curve of a parabola, which is a curve that describes the location of a point that is equidistant from the focus and the directrix.
Let (x, y) represent the coordinate of the point, therefore;
The distance of the point from the point to the focus is therefore;
Distance = √((x - 4)² + (y + 3)²)
The distance from between the point and the directrix = |x|
According to the definition of the locus of a parabola, therefore;
√((x - 4)² + (y + 3)²) = |x|
(x - 4)² + (y + 3)² = x²
x² + y² - 8·x + 6·y + 25 = x²
x² - x² + y² - 8·x + 6·y + 25 = 0
y² - 8·x + 6·y + 25 = 0
y² + 6·y + 25 = 8·x
However, we get; Directrix, x = h - p
focus = (h + p, k)
Therefore;
h + p = 4
k = -3
h - p = 0
2·h = 4 + 0 = 4
h = 4/2 = 2
h = 2
p = 4 - 2 = 2
p = 2
The equation of a parabola is; (y - k)² = 4·p·(x - h)
The equation of the parabola is; (y - (-3))² = 4 × 2 × (x - 2)
The standard form of the equation is therefore;
(y + 3)² = 8·(x - 2)
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One particular 13-foot tall cone of dry sand has a base diameter of 38.2 feet. To the nearest tenth of a degree, what is the angle of repose of this type of dry sand?
A different conical pile of the same type of sand as before (which will have the same angle of repose) is 10 feet tall. What is the diameter of the cone’s base?
Answer:
Step-by-step explanation:
34.0 degrees, 29.6 feet in Diameter.
This is a right triangle trigonometry question.
Use half of the diameter to form the base of the triangle (19.3 ft) with a height 0f 13.
Use Inverse Tangent function to find the angle of repose
round to 34.0
then use the angle of repose to solve trigonometric function of the tangent for the radius of the other cone.
switch denominator and tangent
multiply by 2 to get diameter of second cone
14.82*2≈29.6
Two events A and B are _______ if the occurrence of one does not affect the probability of the occurrence of the other.
Answer:
Independent
Step-by-step explanation:
From the word independent, which means being able ot stand alone, that is the absence or presence of one has no impact on the outcome of each phenomenon. Two events A and B are said to be independent, if the occurence of one has no bearing on the probability or chance that B will occur. This means that each event occurs without reliance on the occurence of the other. This is different from mutually exclusive event whereby event A has direct bearing in the probability of the occurence of event B.
Given: KBWN is a parallelogram with diagonals KW and BN intersecting at point H.
Prove:
An incomplete flowchart proof is shown.
By ASA congruency triangle KBH is congruent to triangle NWH.
Given that, KBWN is a parallelogram with diagonals KW and BN intersecting at point H.
From the given figure,
Consider ΔKBH and ΔNWH,
∠KHB=∠NHW (Vertically opposite angles)
∠HKB=∠HWN (Interior alternate angles parallelogram)
KH=HW (Diagonals bisect each other)
By ASA congruency ΔKBH ≅ ΔNWH
Therefore, by ASA congruency triangle KBH is congruent to triangle NWH.
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please helpp
meeee
agf akgfkef eafef f
Answer:
The lines help u see where they go
Step-by-step explanation:
Answer: (maybe not 100% correct i d k)
Primary Sorce:
Anne Frank's Diary
Photo of a Migrant Worker
American Indian Treaty
Letter by George Washington
Not Primary Source:
1927 and 1992 Article About Babe Ruth
Movie About the Civil War
History Textbook
Fiction Set in 1780s
Blog About Black Holes
4.2 + 3.5 + 0.5 + 4.0
Answer:
12.2
Step-by-step explanation:
i put it in my calculator and thats what i got
I will give brainiest to whoever answers correctly !!
Please do not steal my points I'm tired of it put a legit answer or leave!! I will give brainiest to whoever answers correctly!!
Answer:
15450
Step-by-step explanation:
Given point A (-9, -9) and B (5, -2) find the coordinates of point P on the directed line segment AB in the ratio 3:4.
Answer:
We have point P(-3,-6).
Step-by-step explanation:
We want to find a point P(x,y).
Since it is on the directed line segment AB in the ratio 3:4, it means that:
\(P - A = \frac{3}{3+4}(B - A)\)
So
\(P - A = \frac{3}{7}(B-A)\)
We apply this to both the x-coordinate and y-coordinate of P.
x-coordinate:
x-coordinate of A: -9
x-coordinate of B: 5
x-coordinate of P: x
So
\(P - A = \frac{3}{7}(B-A)\)
\(x - (-9) = \frac{3}{7}(5-(-9))\)
\(x + 9 = \frac{3}{7} \times 14\)
\(x + 9 = 6\)
\(x = -3\)
y-coordinate:
y-coordinate of A: -9
y-coordinate of B: -2
y-coordinate of P: y
So
\(P - A = \frac{3}{7}(B-A)\)
\(y - (-9) = \frac{3}{7}(-2-(-9))\)
\(y + 9 = \frac{3}{7} \times 7\)
\(y + 9 = 3\)
\(y = -6\)
We have point P(-3,-6).
If the reliability is
r = 0.25,
the equation becomes
R(n) =
0.25n
0.75 + 0.25n
.
What percent improvement is there in the reliability when the test length is doubled?
The percentage improvement in reliability when test length is doubled is 15%
R(n) = 0.25n / (0.75 + 0.25n)
For a test length of 1substitute n = 1 into the equation :
R(n) = 0.25n / (0.75 + 0.25n)
R(1) = 0.25(1) / (0.75 + 0.25(1))
R(1) = 0.25 / 1
R(1) = 0.25
For a test length of 2when test length is doubled , n = 2
substitute n = 1 into the equation :
R(n) = 0.25n / (0.75 + 0.25n)
R(2) = 0.25(2) / (0.75 + 0.25(2))
R(2) = 0.5 / 1.25
R(2) = 0.4
Percentage improvement can be calculated thus ;
R(2)-R(1)/R(1) × 100%
(0.4-0.25)/0.25 × 100%
0.15 × 100%
=15%
Therefore, percentage improvement in reliability is 15%
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Find the value of x
Pls help
Answer:
10
Step-by-step explanation:
Both angles will be equal as they are opposite angles
➝13x=130
➝x=130/13
➝x=10
A country’s population in 1993 was 127 million
The population in 2008 is approximately 138 million.
To solve it, we will use the exponential growth formula:
P(t) = P0 *\(e^(rt)\)
where
P(t) = population at time t
P0 = initial population (127 million)
e = natural logarithm base (approximately 2.71828)
r = rate of growth
t = number of years
To find the rate of growth, we can use the population in 2000 as a reference point.
P(7) = 132 million = P0 * \(e^(7r)\)
Divide both sides by P0:
132 million / 127 million = \(e^(7r)\)
Take the natural logarithm of both sides:
ln (132 million / 127 million) = 7r
Solve for r:
r = ln (132 million / 127 million) / 7
Now that we have the rate of growth, we can use it to estimate the population in 2008:
P(15) = 127 million * \(e^(15r)\)
Plug in the value of r:
P(15) = 127 million * \(e^(15 * ln (132 million / 127 million) / 7)\)
Using a calculator, the population in 2008 is approximately 138 million.
Round to the nearest million: 138 million.
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The correct question is:
A country's population in 1993 was 127 million. In 2000 it was 132 million. Estimate the population in 2008 using the exponential growth formula. Round your answer to the nearest million.
evaluate the expression when c=2
c^2-8c-3
Answer:
-15
Step-by-step explanation:
Replace c with 2,
(2)^2 -8(2) -3 =
4 - 16 -3 + -12
= -15
Which event is most likely to occur?
A. Rolling a multiple of 4 on an eight-sided die, numbered from 1 to 8.
B. Spinning a spinner divided into five equal-sized sections colored red/green/yellow/blue/purple and landing on blue or green or purple.
C. Winning a raffle that sold a total of 100 tickets if you buy 24 tickets.
D. Reaching into a bag full of 38 strawberry chews and 2 cherry chews without looking and pulling out a strawberry chew.
Answer:
winning a raffle ticket is more like to occur because there is much more chance (24tickets) to win
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
A would be 1/4 because there are 2 multiples of 4 so it would be 2/8 which would simplify to 1/4
B would be 3/5 since it’s 3/5 possibilities
C would be 12/50 because it would simplify from 24/100 to that
D would be 19/20 because there are 38 strawberry chews and + 2 cherry chews = 40 so 38/40 or 19/20
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f(x)=x² +1
What is f(f(x))?
Step-by-step explanation:
Plug
\( {x}^{2} + 1\)
for x.
\(( {x}^{2} + 1) {}^{2} + 1\)
Note that
\((a + b) {}^{2} = 2ab\)
So we have
\( {x}^{4} + 2 {x}^{2} + 2\)
describe the effect of change on the area of the rectangle if the base and height are both multiplied by 1/2
Answer:
The area would decrease
Step-by-step explanation:
So if the base was 4ft and the height was 2ft then the area would be 8ft^2. because area is base times height. so if 4 times 1/2 is 2 and 2 time 1/2 is 1 so the area would be 2ft^2
Which crime is often alcohol related?
O a. theft
Ob. tax fraud
O c. trespassing
O d. domestic violence
The crime that is often alcohol related is domestic violence. That is option D.
What is domestic violence?Domestic violence is defined as an abusive relationship that exist between two or more individuals that are closely related by blood or marriage.
The causes of domestic violence include the following:
History of violent victimization.Attention deficits, hyperactivity, or learning disorders.History of early aggressive behavior.Involvement with drugs, alcohol, or tobaccoTherefore, alcohol intake can lead to domestic violence because it can cause the abusive partner to have a reduction in cognitive and physical functions that impair self-control, with the consequent effect of reducing the ability to resolve conflicts nonviolently.
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which statement is true of the Y value of function I would ask equals -2 is greater than the Y value function be when I ask equals negative to the Y value function a 1X equals -2 is less than the Y value a function be one x was -2
The statement "the Y value of function I would ask equals -2 is greater than the Y value function be when I ask equals negative to the Y value function a 1X equals -2 is less than the Y value a function be one x was -2" is true.
Given, two functions y = -2f(x) = 1/x
To determine whether the statement "the Y value of function I would ask equals -2 is greater than the Y value function be when I ask equals negative to the Y value function a 1X equals -2 is less than the Y value a function be one x was -2" is true or false, we need to find the value of Y for both functions when x = -2.
Substituting x = -2 in the functions we get:I would ask y = -2(-2) = 4f(-2) = 1/(-2) = -1/2Therefore, the Y value of the function I would ask is greater than the Y value function be when I ask equals negative to the Y value function a 1X equals -2 is less than the Y value a function be one x was -2. Hence, the given statement is true.
Therefore, the statement "the Y value of function I would ask equals -2 is greater than the Y value function be when I ask equals negative to the Y value function a 1X equals -2 is less than the Y value a function be one x was -2" is true.
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PLEASE HELP ME SOLVE THIS QUESTION
ln(x^3 / (1 + x))
Answer:
3·ln(x) -ln(1+x)
Step-by-step explanation:
You want to "solve" the expression ln(x³/(1+x)).
Rules of logarithmsThe relevant rules of logarithms are ...
ln(a^b) = b·ln(a)
ln(a/b) = ln(a) -ln(b)
ApplicationThe given log expression can be expanded as ...
\(\ln{\left(\dfrac{x^3}{1+x}\right)}=\ln(x^3)-\ln(1+x)=\boxed{3\ln(x)-\ln(1+x)}\)
Can anyone help me solve this question?
x = e^y
Step-by-step explanation:
Pick any point on the graph below for a solution:
What are the two cases for 丨4x - 1丨= 19?
Answer:
Step-by-step explanation:
x = 5
Answer:
x=5 and -17/4
Step-by-step explanation:
The two equations for 丨4x - 1丨= 19 is
4x-1=19
and
4x-1=-19
So for 4x-1=19
4x=20
x=5
4x-1=-18
4x=-17
x=17/4
Hope this helps!
A bag of baseballs costs $12. There are 15 balls in the bag. Another bag of baseballs costs $15 for 20 balls. Which bag prices individual baseballs lower?
Answer:
Step-by-step explanation:
For the first bag:
Price of the bag = $12
Number of balls in the bag = 15
Price per ball = Price of the bag / Number of balls
Price per ball for the first bag = $12 / 15 = $0.8
For the second bag:
Price of the bag = $15
Number of balls in the bag = 20
Price per ball = Price of the bag / Number of balls
Price per ball for the second bag = $15 / 20 = $0.75
Comparing the prices per ball, we find that the second bag has a lower price per baseball. Therefore, the second bag offers a better price for individual baseballs compared to the first bag.
Answer:
Step-by-step explanation:
To find out which bag prices individual baseballs lower, we can divide the total cost of each bag by the number of balls in the bag. This will give us the price per ball for each bag.
For the first bag, the price per ball is $12 / 15 = $0.80.
For the second bag, the price per ball is $15 / 20 = $0.75.
Therefore, the second bag prices individual baseballs lower.
Please anyone that can help me
Answer:
\(|\frac{x}{y} |\)
Step-by-step explanation:
Pre-SolvingWe are given the following expression: \(\sqrt\frac{x^3y^5}{xy^7}\), where x > 0 and y > 0.
We want to simplify it.
To do that, we can first simplify what is under the radical, then take the square root of what is left.
Recall that when simplifying exponents, we don't want any negative or non-integer radicals left.
SolvingTo simplify what is under the radical, we can remember the rule where \(\frac{a^n}{a^m} = a^{n-m}\).
So, that means that \(\frac{x^3}{x} = x^2\) and \(\frac{y^5}{y^7} = y^{-2}\) .
Under the radical, we now have:
\(\sqrt{x^2y^{-2}}\)
Now, we take the square root of both exponents to get:
\(|xy^{-1}|\)
The reason why we need the absolute value signs is because we know that x > 0 and y > 0, but when we take the square root of of \(x^2\) and \(y^{-2}\) , the values of x and y can be either positive or negative, so by taking the absolute value, we ensure that the value is positive.
However, we aren't done yet; remember that we don't want any radicals to be negative, and the integer of y is negative.
Recall that if \(a^{-n}\), that is equal to \(\frac{1}{a^n}\).
So, by using that,
\(|x * \frac{1}{y} |\)
This can be simplified to:
\(|\frac{x}{y} |\)
Please help, It's a statistics question, I need the answer ASAP
A particular variable measured on the US population is approximately normally distributed with a mean of 112 and a standard deviation of 22. Consider the sampling distribution of the sample mean for samples of size 16.
Answer:
Step-by-step explanation:
The sampling distribution of the sample mean for samples of size n is approximately normal with mean μ and standard deviation σ/sqrt(n), where μ is the mean of the population, σ is the standard deviation of the population, and sqrt(n) is the square root of the sample size.
In this case, the population mean is μ = 112 and the population standard deviation is σ = 22. We are interested in the sampling distribution of the sample mean for samples of size n = 16.
The mean of the sampling distribution of the sample mean is the same as the population mean, which is μ = 112.
The standard deviation of the sampling distribution of the sample mean is σ/sqrt(n) = 22/sqrt(16) = 5.5.
Therefore, the sampling distribution of the sample mean for samples of size 16 is approximately normal with mean 112 and standard deviation 5.5.