Answer:
x=-6\sqrt(3)
Step-by-step explanation:
Help me please I am having trouble figuring out the answer. Help me find the ratio.
Answer:
not equivalent to meteorologists ratio
Step-by-step explanation:
meteorologists ratio is
rainy days : sunny days = 2 : 5
last months weather is
rainy days : sunny days
= 10 : 20 ( divide both parts by LCM of 10 )
= 1 : 2 ← not equivalent to 2 : 5
2) Find the length of the missing leg of the right triangle below."
20 points
17
8
O 10
O 17
O 16
O 16
Answer:15
Step-by-step explanation: using the formula c=a^2+b^2 square rooted, you can basically use the reverse Pythagorean theorem
what is the fundamental difference between a sample survey of human beings that may suffer from nonresponse and data using a volunteer sample?
The fundamental difference between a sample survey with nonresponse and a volunteer sample is the way participants are selected and the biases that may result from each approach. While nonresponse in a sample survey can lead to nonresponse bias, volunteer samples are more susceptible to selection bias.
The fundamental difference between a sample survey of human beings that may suffer from nonresponse and data using a volunteer sample is the way participants are selected and the potential biases that may arise.
In a sample survey, a random selection of individuals is chosen from the target population. However, nonresponse can occur when some of these selected individuals fail to participate or provide incomplete information. This can lead to nonresponse bias, which affects the representativeness of the sample and the accuracy of the results. To minimize nonresponse bias, researchers should ensure that their survey design and data collection methods encourage participation and provide clear instructions for respondents.
On the other hand, a volunteer sample consists of participants who willingly choose to participate in the study, usually in response to an open invitation. This approach is more prone to selection bias, as the individuals who volunteer may not be representative of the target population. They may have certain characteristics or attitudes that motivated them to participate, leading to biased results that may not generalize to the broader population. To address selection bias, researchers should carefully consider the recruitment method and the potential impact of volunteerism on their findings.
In summary, the fundamental difference between a sample survey with nonresponse and a volunteer sample is the way participants are selected and the biases that may result from each approach. While nonresponse in a sample survey can lead to nonresponse bias, volunteer samples are more susceptible to selection bias. Researchers must be mindful of these biases when designing and conducting their studies.
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A bakery sells chocolate cupcakes and mocha cupcakes. It sold 500 cupcakes in a day, and 16% of them were mocha. How many of the cupcakes sold that day were chocolate?
Answer:
Your answer
420 were chocolate
Mark it as Brainlist. Follow me for more answer.
Step-by-step explanation:
Find the highest common factor (HCF) of 32, 48 and 72
Select the correct answer. Which statement is true about this equation? 3(-y + 7) = 3(y + 5) + 6 A. The equation has one solution, y = 0. B. The equation has one solution, y = -1. C. The equation has no solution. D. The equation has infinitely many solutions.
Answer:
The statement that is true about the given equation is that it has no solution. This can be seen by rearranging the terms on both sides of the equation and then solving for y. When we do this, we get:
3(-y + 7) = 3(y + 5) + 6
-3y + 21 = 3y + 15 + 6
-6y = -12
y = 2
However, when we substitute this value of y back into the original equation, we find that it does not satisfy the equation. This means that there is no value of y that can make the equation true, so the equation has no solution.
Step-by-step explanation:
The sum of three lengths of a fence ranges from 31 to 40 inches. Two side lengths are 9 and 12 inches. If the length of the third side is x inches, write and
solve a compound inequality to show the possible lengths of the third side.
031 ≤x≤ 40
022 ≤x≤28
010 ≤x≤ 19
09≤x≤ 12
If two side lengths of a fence are 9 and 12 inches and the sum of the three lengths ranges from 31 to 40 inches, then the length of the third side, x, can be presented by the compound inequality 10 ≤ x ≤ 19.
What is an inequality?Inequality refers to the relationship between two non-equal expressions. It can be denoted by > for greater than, < for less than, ≥ for greater than and equal to, and ≤ for less than and equal to.
Given that the sum of the three lengths of a fence ranges from 31 to 40 inches, the inequality can be written as:
\(31 \leq \text{sum} \leq 40\)
If two side lengths are 9 and 12 inches, and let x be the third length, the inequality becomes:
\(31 \leq 9 + 12 + x \leq 40\)
\(31 \leq 21 + x \leq 40\)
Subtracting 21 at all sides,
\(31 - 21 \leq 21 + x - 21 \leq 40 - 21\)
\(\bold{10 \leq x \leq 19}\)
Hence, the compound inequality to show the length of the third side can be written as 10 ≤ x ≤ 19.
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The telephone company offers two types of service. With Plan A, you can make an unlimited number of local calls per month for $18.50. With Plan B, you pay $6.50 monthly, plus 10 cents for each min. Of calls after the first 40 min. At least how many min would you have to use the telephone each month to make Plan A the better option?
Answer:
This is telling me that plan B is the better choice
for a certain number of minutes, but after that,
plan A is better.
Let +n+ = number of minutes of calls
with plan B
-----------------------------------------
Set up an equation that makes the 2 plans equal
and then add 1 more minutes to +n+
-----------------------------------------
plan A = plan B
+18.5+=+6.5+%2B+.1%2A%28+n+-+40+%29+
Step-by-step explanation:
Answer:
Plan A is better if you talk at least 121 minutes per month
Step-by-step explanation:
1. Plan B is $6.50 plus 10 cents for each minute
2. Plan A is $18.50
3. For plan A to be better, one need to spend over $12 extra
4. Each minute cost 10 cents, so $12 would be 120 minutes of talk
5. Plan A is better if you talk at least 121 minutes
What is 5/7 subtracted by 2/5
Answer:
11/35
Step-by-step explanation:
A poll of 1009 americans showed that 46.9% of the respondents prefer to watch the news rather than read or
listen to it. use those results with a 0.05 significance level to test the claim that fewer than half of americans
prefer to watch the news rather than read or listen to it. use the p-value method. use the normal distribution
as an approximation to the binomial distribution.
succeed
It is valid to suggest that fewer than half of Americans prefer to watch the news rather than read or listen to it.
How do we arrive at that conclusion?Testing for the claim that fewer than half of A.m.e.r.i.c.a.n.s. prefer to watch the news rather than read or listen to it, we can use a one-tailed, lower-bound z-test for proportions. The null hypothesis is that the proportion of Americans who prefer to watch the news is greater than or equal to 0.5, and the alternative hypothesis is that the proportion is less than 0.5.
Using the normal approximation to the binomial distribution, the z-score is calculated as:
z = (P - 0.5) / (√(p*(1-p)) / √(n))
where P is the sample proportion (46.9%), p is the population proportion (0.5), and n is the sample size (1009).
The p-value is the probability of getting a z-score as extreme or more extreme than the one calculated, assuming the null hypothesis is true.
z = (0.469 - 0.5) / (√(0.5*(1-0.5)) / √(1009)) = -2.2
The p-value is calculated by looking up the z-score of -2.2 in a standard normal table and finding the probability in the lower tail. The p-value is approximately 0.0135
Since the p-value (0.0135) is less than the significance level (0.05), we r.e.j.e.c.t. the null hypothesis and conclude that it is true to suggest that fewer than half of A.m.e.r.i.c.a.n.s. prefer to watch the news rather than read or listen to it.
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Simplify the expression -15m + 9m
Answer:
-6M
Step-by-step explanation:
djdurjjrfjfrjrjrjrf
Find the Inverse Laplace transformations of F(s) = ((s-2)e^-s)/(s^2-4s+3) and F(s) = (2e^(-2s))/(s^2-4)
The inverse Laplace transformations of the given functions are 1. \(f(t) = -e^t + e^{3t}\) and 2. \(f(t) = -e^{4t} + e^{(-2t)}.\)
To find the inverse Laplace transformations of the given functions, we will use partial fraction decomposition and the table of Laplace transforms.
1. For\(F(s) = ((s-2)e^{-s})/(s^2-4s+3):\)
First, we factor the denominator as (s-1)(s-3). Therefore, we can write F(s) as:
\(F(s) = ((s-2)e^{-s})/((s-1)(s-3))\)
Using partial fraction decomposition, we can express F(s) as:
F(s) = A/(s-1) + B/(s-3)
Multiplying both sides by (s-1)(s-3), we get:
(s-1)(s-3)F(s) = A(s-3) + B(s-1)
Next, we can substitute values of s to solve for A and B. Let's choose s = 1 and s = 3:
(s-1)(s-3)F(s) evaluated at s = 1: 0 = A(1-3) + B(1-1)
(s-1)(s-3)F(s) evaluated at s = 3: 0 = A(3-3) + B(3-1)
Simplifying the equations, we find A = -e and B = e.
Therefore, F(s) = (-e/(s-1)) + (e/(s-3))
Using the Laplace transform table, we find the inverse Laplace transformation of F(s):
\(f(t) = -e^t + e^{3t}\)
2. For\(F(s) = (2e^{(-2s))}/(s^2-4)\):
The denominator can be factored as (s+2)(s-2). Thus, we can express F(s) as:
\(F(s) = (2e^{(-2s)})/((s+2)(s-2))\)
Using partial fraction decomposition:
F(s) = A/(s+2) + B/(s-2)
Multiplying both sides by (s+2)(s-2), we get:
(s+2)(s-2)F(s) = A(s-2) + B(s+2)
Substituting s = -2 and s = 2 to solve for A and B:
(s+2)(s-2)F(s) evaluated at s = -2: 0 = A(-2-2) + B(-2+2)
(s+2)(s-2)F(s) evaluated at s = 2: 0 = A(2-2) + B(2+2)
Simplifying the equations, we find A = \(-e^4\) and B = \(e^{(-4)}\).
Therefore,\(F(s) = (-e^4/(s+2)) + (e^{(-4)}/(s-2))\)
Using the Laplace transform table, we find the inverse Laplace transformation of F(s):
\(f(t) = -e^{4t} + e^{(-2t)}.\)
Therefore, these are the inverse Laplace transformations of the given functions.
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The half-life of a radioactive kind of iodine is 12 hours. How much will be left after 24 hours,
if you start with 96 grams of it?
Answer:
Step-by-step explanation:
Half life means the period after which the material will have only 50% of it left, as if by magic.
Half life is given as 12 hours, so 24 hours is twice half-life.
If we start with 96 grams, after 12 hours, there will be 48 grams left.
After another 12 hours, (total of 24 hours), only half is left, namely 24 grams.
Which represents the inverse of the function f(x) = 4x?
O h(x) = x +4
O h(x) = x-4
O h(x) = **
O h(x) = * *
Answer:
inverse is h^-1 (x) = x/ 4
Step-by-step explanation:
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#1- 2 is what percent of 16 #2- 15 is what percent of 80 #3- 38 is what percent of 200
Answer:
#1 . 12.5%
#2. 18.75%
#3. 19%
Step-by-step explanation:
2 / 16 x 100% = 12.5%
15 / 80 x 100% = 18.75
38 /200 x 100%= 19%
How high did abby climb above her original starting position? 8 feet 15 feet 18 feet 22 feet
Abby climbed above her original starting position of a height of 18 feet .
According to the graph Abby's climb begins at 4 feet in 0 minute and ends at 0 feet in 22 minutes. However, Abby reaches her highest point at 22 feet in 8 minutes .
Starting point of Abby's climb = 4 feet in 0 minute
End point of Abby's climb = 0 feet in 22 minutes
Highest point of Abby's climb = 22 feet in 8 minutes
Abby climbed above her original starting position = highest point - starting point
Abby climbed above her original starting position = 22 feet - 4 feet
Abby climbed above her original starting position = 18 feet .
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12m 8m 5m 5m 15m area of irregular figures
The area of the figure can be obtained by splitting the figure into smaller components
The area of the irregular figure = Area of A + Area of B + Area of C
Area of A = L X B = 12 x 7 = 84 sq meters
Area of B = L X B = 5 X 8 = 40 sq meters
Area of C = L X B = 5 x 8 = 40 sq meters
Total area = 84 + 40 + 40 = 164 sq meters
13 POINTS FOR THIS GUYS PlEASE HELP
Answer:
I'm pretty sure
dependent: total video games
independent: number of months
does anyone know what 3+10 is?
Answer:
it's 13 lol
Step-by-step explanation:
What is the value of "c" in the following quadratic? (Make sure the equation is in
standard form: ax2 + bx+c=0)
4x² + 10X - 24 = 0
c=-24
Step-by-step explanation:
a=4, b=10 and c=-24
8. Identify the mapping diagram that represents the relation and determine whether the relation is
a function.
(−2, −5), (−1, −3), (−2, 6), (5, 7)}
Answer:
Not a function
Step-by-step explanation:
For this to be a function there can not be 2 of the same x values.
Our points for this are (−2, −5), (−1, −3), (−2, 6), (5, 7)
Your x value is the number on the left side of the point=
When we look at our points we see that -2 is repeating for (-2,-5) and (-2,6)
If we plot these points on a graph and use the vertical line test we see that our line passes thru the 2 points.
So this is not a function
Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
a.
10
d.
4 5
b. 4 5
I
s 100
10
4
8
--
8 10
415
이
00
I
C. 10 85
815
I
10
I
2/5
I
211
552
415
Mark this and return
Next
Submit
The ratio of corresponding sides for the given similar triangles is 2/5.
In the given options, the ratio of corresponding sides is provided for each set of similar triangles. Let's analyze each option to determine the correct ratio:
a. 10
This option only provides a single number and does not specify the ratio of corresponding sides. Therefore, it is not the correct answer.
b. 4/5
This option provides the ratio 4/5 for the corresponding sides of the similar triangles. However, the ratio can be simplified further.
To simplify the ratio, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 5 is 1.
Dividing 4 and 5 by 1, we get:
4 ÷ 1 = 4
5 ÷ 1 = 5
Therefore, the simplified ratio is 4/5.
c. 10/85
This option provides the ratio 10/85 for the corresponding sides of the similar triangles. However, this ratio cannot be simplified further, as 10 and 85 do not have a common factor other than 1.
Therefore, the correct ratio of corresponding sides for the given similar triangles is 2/5, as determined in option b.
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1. Suppose manicures are produced according to \( m=\min \{s, l\} \) where \( s \) is manicure supplies and \( l \) is a labor hour from a manicurist. (a.) Is this production function homothetic? Plot"
The production function m=min{s,l}, where s represents manicure supplies and l represents labor hours, is not homothetic.
To determine if a production function is homothetic, we need to examine whether scaling the inputs by a common factor affects the output in a consistent way. In this case, the production function m=min{s,l} implies that the quantity of manicures produced is determined by the minimum of the supplies and labor hours.
Suppose we scale the inputs by a common factor k>0. If s and l are multiplied by k, the new inputs become ks and kl respectively. Now, let's consider the case where s>l initially. The production function will be m=min{ks,kl}=kl, as ks is larger than kl. However, if we scale both inputs by k, the new production function will be
\(m = min\{k^2s,k^2l\}=k^2l\). Since \(k^2l\) is not equal to kl, the production function is not homogeneous of degree one and therefore not homothetic.
In conclusion, the production function m=min{s,l} is not homothetic because scaling the inputs by a common factor does not result in a consistent scaling of the output.
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A small software corporation borrowed $500,000 to expand its software line. The corporation borrowed some of the money at 3%, some at 4%, and some at 5%. Use a system of equations to determine how much was borrowed at each rate when the annual interest was$20,500 and the amount borrowed at 4% was 2 1/2 times the amount borrowed at 3%. Solve the system using matrices.
The amount borrowed at 3% was $498,980, the amount borrowed at 4% was $1000, and the amount borrowed at 5% was $20.
To solve this system using matrices, we can set up a matrix equation and use matrix operations to solve for the unknown amounts borrowed at each rate.
Let x = amount borrowed at 3%
y = amount borrowed at 4%
z = amount borrowed at 5%
The system of equations can be written as:
x + y + z = 500,000
0.03x + 0.04y + 0.05z = 20,500
y = 2.5x
We can write this system as a matrix equation:
[1 1 1] [x] = [500,000]
[0.03 0.04 0.05] [y] = [20,500]
[0 2.5 -1] [z] = [0]
We can use matrix operations to solve for x, y, and z. First, we can use row operations to get the matrix in reduced row echelon form:
[1 1 1] [x] = [500,000]
[0 1 -25] [y] = [500]
[0 0 62.5] [z] = [1250]
Then, we can solve for z by dividing the third equation by 62.5:
z = 1250/62.5 = 20
Next, we can substitute z back into the second equation to solve for y:
y - 25(20) = 500
y = 500 + 500 = 1000
Finally, we can substitute y and z back into the first equation to solve for x:
x + 1000 + 20 = 500,000
x = 500,000 - 1020 = 498,980
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Water leaking onto a floor forms a circular pool. The circumference of the pool increases at a rate 24 cm/min. How fast is the area of the pool increasing when the radius is 5 cm
The area of the pool increasing at the rate of 753.98 cm²/min when the radius is 5 cm
How quickly does the pool's area grow when the radius is 5 cm?Given:
radius of the pool increases at a rate of 24 cm/min
To Find:
How quickly does the pool's area grow when the radius is 5 cm?
Solution:
we are given with the circular pool
hence the area of the circular pool =
A = πr²-----------------------------(1)
The area of the pool os increasing at the rate of 24 cm/min, meaning that the area of the pool is changing with respect to time t
so differentiating eq (1) with respect to t , we have
dA/dt =π 2r dr/dt
we have to find dA/dt with dr/dt = 24 cm/min and r = 5cm
substituting the values
dA/dt = π 2(5)24
dA/dt = π 26*8
dA/dt = π 240
dA/dt =240π
dA/dt = 753.98
The area of the pool increasing at the rate of 753.98 cm²/min when the radius is 5 cm
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Express your answer as a polynomial in standard form.
Answer:
f(x) = 5x - 4
g(x)=x²-3x - 11
Find: (fog)(x)
Submit Answer
Answer:
(f o g)(x) =
5x²-15x - 51
Step-by-step explanation:
(f o g)(x) means to wad up g(x) and stuff it into the place of x in f(x).
(f o g)(x)
means f( g(x) )
Here's f(x)
f(x) = 5x - 4
If you were calculating f(2) you would put a 2 in place of x. Or f(18) you would put 18 in place of the x. In this case we will cram the entirety of
x²-3x - 11 into the place of x.
f(x) = 5x + 4
Let's make a lot of room for g(x).
f(x) = 5___x_____ + 4
Okay, here we go:
f(g(x))
= 5(x²-3x - 11) + 4
See how we replace the x in f(x) with the whole entire g(x).
Now we'll simplify because they asked for standard form.
f(g(x))
= 5(x²-3x - 11) + 4
Use distributive property.
= 5x²-15x - 55 + 4
Combine like terms.
= 5x²-15x - 51
(f o g)(x) =
f( g(x) ) = 5x²-15x - 51
What is the volume of a cylinder, in cubic centimeters, with a height of 16 centimeters and a base diameter of 4 centimeters? Round to the nearest tenths place.
Answer:
200 cubic centimeter
Step-by-step explanation:
Answer:
201.1 cc
Step-by-step explanation:
r = d/2
v = πr^2 h
---------------------
r = 4/2
r = 2
v = π * (2^2) * 16
v = 3.14159 * 4 * 16
v = 201.06176
Rounded
v = 201.1 cc
--------------------
note:
if 3.14 is used for π
v = 200.96
which rounds to
v =201.0
Please help!
Does this represent a linear function, non-linear function, or no function?
Answer: It would represent a linear function.
Step-by-step explanation:
Every time, the amount of blocks increase by 3, which would be the slope of it were on a graph, and it is constant. It’s not a quadratic nor an exponential function because it is not divided or multiplied at a certain factor, but it just adds by 3 each time.
On the number line below, the numbers a and b are the same distance from 0. What is a + b? Explain how you know.
If we start at zero and move a units to the right, and then move the same number of units to the left, we will be back at 0. We can also represent this symbolically. Since a and b are the same distance from zero but are on opposite sides of zero, we know that they are opposites, so b = -a
Answer:
If we start at zero and move a units to the right, and then move the same number of units to the left, we will be back at 0. We can also represent this symbolically. Since a and b are the same distance from zero but are on opposite sides of zero, we know that they are opposites, so b = -a.
2 1/2 ÷ (−1 3/4)= ??
Answer:
-10/7 or - 1 3/7
Step-by-step explanation:
Make improper fractions
5/2 / -7/4
multiply by the recriprical
5/2 * -4/7 = -20/14 Reduce
-10/7 or - 1 3/7