Answer: Both three and six are reflections across the y-axis.
Step-by-step explanation: its like a mirror
suppose triangle ABC is reflected over the y-axis. if the distance between point B and the y-axis is 5, what is the distance between the y-axis and B'.
A. 5 units
B. 10 units
C. 2.5 units
D. 1.25 units
Needs to be answered quickly
Answer:
A. 5 units
Step-by-step explanation:
When you reflect any shape over the y-axis, each point's distance from the y-axis will stay the same after it's reflected. Hopefully this helps!
Propane tanks can be filled at the Sunshine Gas Company for
$7.50 per tank if customers pay a one time membership fee of
$10. Which formula best describes the total cost C in dollars
of filling T propane tanks at the member price (including the
membership fee)?
A А
C = 11T + 7.50
с
C = 7.50T + 10
B
C = 17.50T
D
C = 10(7.50 +T)
Solve each equation. Leave the answer as an improper fraction. 16x^2 = 49
Answer:
7/4
Step-by-step explanation:
Answer:
The Answer would be 7/4 as an Improper fraction
Step-by-step explanation:
Consider shift cipher with three possible messages, their distribution is Pr[M=‘hi’] = 0.3, Pr[M=‘no’] = 0.2, and Pr[M=’in’] = 0.5. What is Pr[M=‘hi’ | C=‘st’] ?
The probability of the message being "hi" given the ciphertext "st" is 0.
Consider a shift cipher with three possible messages, with a distribution of probabilities. The three possible messages are as follows:
Pr[M=‘hi’] = 0.3,
Pr[M=‘no’] = 0.2, and
Pr[M=’in’] = 0.5.
To solve this problem, we can use Bayes' theorem. We want to find the probability of the message being "hi" given the ciphertext "st".
Using Bayes' theorem, we have:
Pr[M=‘hi’ | C=‘st’] = Pr[C=‘st’ | M=‘hi’] * Pr[M=‘hi’] / Pr[C=‘st’]
We can break this down into three parts:
Pr[C=‘st’ | M=‘hi’]:
This is the probability that the ciphertext is "st" given that the message is "hi".
To find this probability, we need to encrypt the message "hi" using the shift cipher. If we shift each letter in "hi" by one (i.e., a becomes b, h becomes i, and i becomes j), we get the ciphertext "ij". Since "ij" does not contain the letter "s", we know that Pr[C=‘st’ | M=‘hi’] = 0.Pr[M=‘hi’]:
This is the probability of the message "hi", which is given as 0.3.Pr[C=‘st’]:
This is the probability of the ciphertext "st". We can find this probability by considering all the possible messages that could have been encrypted to produce "st".
There are three possible messages: "hi", "no", and "in". To encrypt "hi" to "st", we need to shift each letter in "hi" by two (i.e., a becomes c, h becomes j, and i becomes k). This gives us the ciphertext "jk".
To encrypt "no" to "st", we need to shift each letter in "no" by five (i.e., n becomes s and o becomes t). This gives us the ciphertext "st". To encrypt "in" to "st", we need to shift each letter in "in" by three (i.e., i becomes l and n becomes q). This does not give us the ciphertext "st", so we can ignore it.
Therefore, Pr[C=‘st’] = Pr[C=‘st’ | M=‘hi’] * Pr[M=‘hi’] + Pr[C=‘st’ | M=‘no’] * Pr[M=‘no’] = 0 + 0.2 * 1 = 0.2
Now we can plug in the values we have found:
Pr[M=‘hi’ | C=‘st’] = 0 * 0.3 / 0.2 = 0
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The sides of an equilateral triangle measure 0.2(10x+90)cm each. If the perimeter of the triangle is 612.6 cm, what is the side length?
Write the equation to solve the problem.
Solve for x
Find the side of the triangle
Answer:
204.2 cm
Step-by-step explanation:
equilateral means all sides are of equal length.
the perimeter of such a triangle is simply 3 times one of these sides.
so,
612.6 = 3×0.2×(10x + 90) = 0.6×(10x+90) = 6x + 54
6x = 558.6
x = 93.1
so, a single side is
0.2×(10×93.1 +90) = 0.2×(931 + 90) = 0.2×1021 = 204.2 cm
to check
3×204.2 = 612.6 = the original perimeter.
so, correct.
which quadrant is the ordered pair (-5.5,3) in?
PLEASE HELP!!!! I WILL GET IN TROUBLE!!!!!!!!!!
Answer
Step-by-step explanation:
quad 1=+,+
quad 2= -+
quad 3= -,-
quad 4= +,-
A right cylinder with radius 3 centimeters and height 10 centimeters has a right cone on top of it with the same base and height 5 centimeters. Find the volume of the solid. Round your answer to two decimal places.
Find the approximations TM and S, for n = 6 and 12. Then compute the corresponding errors ET EM, and E. (Round your answers to six decimal places. You may wish to use the sum command on a computer algebra system.) 22x4 dx n M₁ Sn 6 x 12 X n EM Es 6 X 12 What observations can you make? In particular, what happens to the errors when n is doubled? As n is doubled, E, and EM are decreased by a factor of about , and E is decreased by a factor of about Need Help? Read It Watch It ET x x X
The approximations TM and S, as well as the errors ET, EM, and E, are calculated for n = 6 and 12 using the provided integral expression. The errors EM and E decrease by a factor of about 2 when n is doubled.
To find the approximations TM and S for n = 6 and 12, we need to evaluate the corresponding sums using the provided integral expression.
TM for n = 6:
TM = Σ[1 to n] (22(xi+1 - xi^4))Δx
Here, Δx = 1/n and xi = iΔx for i = 0, 1, 2, ..., n.
Substituting the values:
TM = 22(Σ[1 to 6] ((i+1)(1/6) - (i/6)^4)(1/6))
Similarly, we can find TM for n = 12:
TM = 22(Σ[1 to 12] ((i+1)(1/12) - (i/12)^4)(1/12))
To compute the corresponding errors, we can use the formula:
EM = |TM - S|
E = |EM / S|
where S is the exact value of the integral.
By evaluating the expressions for TM, S, EM, and E for n = 6 and 12, we can observe the behavior of the errors.
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I need help please help me
Answer:
did you use google.if not use it it is good to use.
solve the following logarithmic equation: \ln(x 31) - \ln(4-3x) = 5\ln 2ln(x 31)−ln(4−3x)=5ln2.
The solution to the given logarithmic equation is x = 1.
What is the first property of logarithms?The given logarithmic equation is:
ln(x+31) - ln(4-3x) = 5ln2
We can use the first property of logarithms, which states that ln(a) - ln(b) = ln(a/b), to simplify the left-hand side of the equation:
ln(x+31)/(4-3x) = ln(2^5)
We can further simplify the right-hand side using the second property of logarithms, which states that ln(a^b) = b*ln(a):
ln(x+31)/(4-3x) = ln(32)
Now, we can equate the arguments of the logarithms on both sides:
(x+31)/(4-3x) = 32
Multiplying both sides by (4-3x), we get:
x + 31 = 32(4-3x)
Expanding the right-hand side, we get:
x + 31 = 128 - 96x
Bringing all the x-terms to one side, we get:
x + 96x = 128 - 31
Simplifying, we get:
97x = 97
Finally, dividing both sides by 97, we get:
x = 1
Therefore, the solution to the given logarithmic equation is x = 1.
Note that we must check the solution to make sure it is valid, as the original equation may have restrictions on the domain of x. In this case, we can see that the arguments of the logarithms must be positive, so we must check that x+31 and 4-3x are both positive when x = 1. Indeed, we have:
x+31 = 1+31 = 32 > 0
4-3x = 4-3(1) = 1 > 0
Therefore, the solution x = 1 is valid.
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why do guys leave girls on read
what is the total cost for an item that costs $140.00 and has a sales tax rate of 7.5%
Answer:
$150.5
Step-by-step explanation:
CP of an item = $140
sales tax rate = 7.5%
sales tax amount = sales tax rate of CP
=7.5% of CP
= 7.5/100 * $140
=$1050/100
=$10.5
total cost with tax = CP + tax rate
=$140 + $10.5
=$150.5
Suppose a jar contains r red balls and b blue balls, each with a unique identifier on it. How many ways are there to choose a set of two balls of the same color? Of different colors? Show that the sum of these two numbers is the number of ways of choosing two balls from the total, ignoring color.
Answer:
Ways to choose a set two balls of the same color:
[0.5 * (b) * (b - 1)] + [0.5* (r) * (r - 1)]
Different colors:
0.5 * [(b) * (r) + (r) * (b)] = 0.5 * (2 * b * r)
= b * r
Any two balls
0.5 * (b + r) * (b + r - 1)
= 0.5 * [b * (b + r - 1) + r * (b + r - 1)]
= 0.5 * [b^2 + b * r - b + b * r + r^2 - r]
= 0.5 * [b^2 - b + r^2 - r + b * r + b * r]
= 0.5 * [b * (b - 1) + r * (r - 1) + 2 * b * r]
= 0.5 * (b * (b - 1)) + 0.5 * (r * (r - 1)) + 0.5 * (2 * b * r)
= [0.5 * (b * (b - 1)) + 0.5 * (r * (r - 1))] + [b * r]
= Number of ways of choosing two balls of the same color + number of ways of choosing two balls with different colors
Step-by-step explanation:
Fulgurites are pieces of glass in the shape of a cylinder produced when lightning strikes sand. A student found a fulgurite with a height of 21 inches and a diameter of 6 inches. Which equation can be used to find V, the volume of the fulgurite in cubic inches?
Question 9 .
\(V = \pi(3)^2(21)\) is the equation that shows the volume of the given cylinder.
The following formula may be used to determine a cylinder's volume:
\(V=\pi r^2h\)
Where r is the radius of the cylinder's base, h is its height and is a mathematical constant that denotes the ratio of a circle's circumference to its diameter.
We must first determine the radius of the cylinder's base in order to utilize this formula to calculate the fulgurite's volume. The radius is equal to half of the base's diameter, or 3 inches since we know it to be 6 inches.
When we enter the values we are aware of into the formula, we obtain:
\(V = \pi(3)^2(21)\)
Therefore, the expression that represents the volume is \(V = \pi(3)^2(21)\)
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Alana spent $18.24 on 4.8 pounds of plant food.
Which expression shows a good estimation for finding the cost of each pound of
plant food?
$
How much did each pound of plant food cost?
$
Answer:
Alana spent $18.24 on 4.8 pounds of plant food.
Which expression shows a good estimation for finding the cost of each pound of
plant food?
$
✔ 20 ÷ 5
How much did each pound of plant food cost?
$
✔ 3.80
it is assumed that approximately 15% of adults in the u.s. are left-handed. consider the probability that among 100 adults selected in the u.s., there are at least 30 who are left-handed. given that the adults surveyed were selected without replacement, can the probability be found by using the binomial probability formula with x counting the number who are left-handed? why or why not?
Option C. No, because the 100 adults were selected without replacement, the selections are dependent.
The binomial probability formula assumes that the trials are independent, meaning that the probability of success or failure for each trial remains the same regardless of the outcomes of previous trials. However, in this case, the 100 adults were selected without replacement, so the probability of being left-handed for each selection depends on the outcomes of previous selections. Therefore, the binomial probability formula cannot be used to find the probability in this situation. Instead, the hypergeometric distribution can be used to account for the dependence between selections.
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Complete question:
It is assumed that approximately 15% of adults in the U.S. are left-handed. Consider the probability that among 100 adults selected in the U.S., there are at least 30 who are left-handed. Given that the adults surveyed were selected without replacement, can the probability be found by using the binomial probability formula with x counting the number who are left-handed? Why or why not?
A. Yes, because the 100 adults represent less than 5% of the U.S. adult population, the trials can be treated as independent.
B. No, because the 30 adults represent more than 5% of the sample size, the trials are dependent.
C. No, because the 100 adults were selected without replacement, the selections are dependent.
D. No, because the probability of being right-handed is greater, x must count the number of right-handed adults.
Which of the following are integer solutions to the inequality below?
−
2
≤
x
<
3
The integer solutions in the inequality expression given as − 2 ≤ x < 3 are -2, -1, 0, 1 and 2
What are inequalities?Inequalities are expressions that do not have equal value
As a general rule, inequalities are represented by the unequal symbols
How to determine the integer solutions?The inequality expression is given as
− 2 ≤ x < 3
The above inequality implies that
The values in the range or domain are values greater than -2, but less than 3
This means that
-2 is inclusive of the range, while 3 is not inclusive of the range
Using the above as a guide, the values in the range are
-2, -1, 0, 1 and 2
Hence, the integer solutions are -2, -1, 0, 1 and 2
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I need an answer! NO LINKS PLS! il give brainlist
Answer:
D. The company's chocolate bars weigh 3.2 ounces on average.
Step-by-step explanation:
We are given that a company claims that its chocolate bars weigh 3.2 ounces on average.
The company took many large samples, and each time the mean weight of the sample was within the 95% confidence interval.
Definition of 95% confidence level: 95% confidence level means a range of values that you can be 95% certain contains the true mean of the population.
Thus by considering definition we can conclude that The company's chocolate bars weigh 3.2 ounces on average.
Thus Option D is correct.
D. The company's chocolate bars weigh 3.2 ounces on average.
an employment agency wants to examine the employment rate in a city. the employment agency divides the population into the following subgroups: age, gender, graduates, nongraduates, and discipline of graduation. the employment agency then indiscriminately selects sample members from each of these subgroups. this is an example of
The sampling method used by the employment agency to determine the employment rate in the city is stratified random sampling.
The correct answer choice is option D.
The types of sampling methodSimple random sampling involves the researcher randomly selecting a subset of participants from a population.
Stratified random sampling is a method of sampling that involves the researcher dividing a population into smaller subgroups known as strata.
Purposive sampling as the name implies refers to a sampling techniques in which units are selected because they have characteristics that you need in your sample.
Convenience sampling involves a researcher using respondents who are “convenient” for him.
Complete question:
An employment agency wants to examine the employment rate in a city. The employment agency divides the population into the following subgroups: age, gender, graduates, nongraduates, and discipline of graduation. The employment agency then indiscriminately selects sample members from each of these subgroups. This is an example of
a. purposive sampling.
b. simple random sampling.
c. convenience sampling.
d. stratified random sampling.
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make x the subject of formula
\((xy - fx) = 2\)
Answer:
\(\huge\boxed{\sf x=\frac{2}{y-f}}\)
Step-by-step explanation:
Given equation:xy - fx = 2
Take x common
x(y - f) = 2
Divide y-f to both sides
\(\displaystyle x=\frac{2}{y-f} \\\\\rule[225]{225}{2}\)
y = 2x + 8 what is the slope or y intercept ?
Answer:
slope is 2
y intercept is 8
Noreen can walk 1/3 of a mile in 12 minutes what is her average speed in miles per hour. (this is multiple choice)
A. 36 miles per hour
B. 12 miles per hour
C. 1/4 a mile per hour
D. 1 2/3 miles and hour
Step-by-step explanation:
1/3 mile in 12 minutes (=1/5 of an hour).
so, the speed (ratio of distance/time) is
1/3 mile / 12 minutes
the speed in mph is the converted ratio, where the denominator (bottom) is turned into 1 (hour).
what do I need to multiply 12 minutes with to get 1 hour ?
the same to multiply 1/5 with to get 1 : 5
to keep the overall value of the ratio the same I need to multiply both parts (top and bottom) of the fraction with the same value.
therefore,
1/3 / 12 × 5/5 = (1/3 × 5) / (12×5) = 5/3 / 60
so, the speed in mph is
5/3 miles / 60 minutes = 5/3 miles / 1 hour = 5/3 mph = 1 2/3 mph
D is the right answer.
when finding a minimum in a linear programming problem, it is possible to find more than one minimum value. yes or no
The statement 'when finding a minimum in a linear programming problem, it is possible to find more than one minimum value' is True.
In this question, we have been given a statement - 'when finding a minimum in a linear programming problem, it is possible to find more than one minimum value.'
We need to state whether it is true or false.
We know that, the minimum value of the objective function Z = ax + by in a linear programming problem can also occur at more than one corner points of the feasible region.
Therefore, when finding a minimum in a linear programming problem, it is possible to find more than one minimum value.
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If Jimmy's age is one year less than the sum of his ages of his siblings serena and tyler. which equation represents Jimmy's age?
Jimmy's age = (serena age + tyler age) - 1
if they are linearly dependent, find scalars that are not all zero such that the equation below is true. If they are linearly independent, find the only scalars that will make the equation below true.(1 point) Are the vectors [-5 4 5] [2 -1 5] [-17 16 45] linearly independent?
The vectors [-5 4 5], [2 -1 5], and [-17 16 45] are linearly dependent with scalars (1, 3, 1) as an example of a non-zero solution.
To determine if the vectors [-5 4 5], [2 -1 5], and [-17 16 45] are linearly independent, we need to find the scalars a, b, and c that satisfy the equation:
a * [-5 4 5] + b * [2 -1 5] + c * [-17 16 45] = [0 0 0]
If the only solution is a = b = c = 0, the vectors are linearly independent. If there are other solutions where a, b, and c are not all zero, the vectors are linearly dependent.
Let's form a matrix with these vectors as columns:
|-5 2 -17|
| 4 -1 16|
| 5 5 45|
Now, we can row reduce this matrix to its reduced row echelon form (RREF):
| 1 -2 5|
| 0 1 -3|
| 0 0 0|
From the RREF, we can write the system of linear equations:
x - 2y + 5z = 0
y - 3z = 0
Solving this system, we get:
y = 3z
x = 2y - 5z = 6z - 5z = z
Since z can be any scalar, we have infinitely many solutions where not all of a, b, and c are zero. For example, when z = 1, we get x = 1 and y = 3. So, the scalars (1, 3, 1) make the equation true.
Thus, the vectors [-5 4 5], [2 -1 5], and [-17 16 45] are linearly dependent with scalars (1, 3, 1) as an example of a non-zero solution.
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Stuck with these two probabilities! Please help
The probability of line from F to B = 25% and the probability of the second line from A to F = 75%
What is probabilityThe probability of an event occurring is the fraction of the number of required outcome divided by the total number of possible outcomes.
The total possible outcome = 20
event of the first line = 5
event of the second line = 15
probability of line from F to B = 5/20
(5 × 100)/20 = 25%
probability of the second line from A to F = 15/20
(15 × 100)/20 = 75%
Therefore, the probability of line from F to B is 25 percent (25%) while the probability of the second line from A to F is 75 percent (75%)
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The probability of line from F to B = 25% and the probability of the second line from A to F = 75%
What is probability
The probability of an event occurring is the fraction of the number of required outcome divided by the total number of possible outcomes.
The total possible outcome = 20
event of the first line = 5
event of the second line = 15
probability of line from F to B = 5/20
(5 × 100)/20 = 25%
probability of the second line from A to F = 15/20
(15 × 100)/20 = 75%
Therefore, the probability of line from F to B is 25 percent (25%) while the probability of the second line from A to F is 75 percent (75%)
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If the volume of a sphere is 83.5cm3 (cubed) what is the radius??
Answer:
2.71
Step-by-step explanation:
Using this formula: Volume= 4 over 3 * π * r cubed.
then do R=(3V4π)⅓=(3·83.54·π)⅓≈2.71144
2.71144 rounded to the nearest 10 is 2.71
A chef removes a roasted turkey from an oven when its temperature reaches 185°F places it in a room where the temperature is 75°F. If the temperature of the turkey is 145 °F half an hour after being removed from the oven, its temperature 45 minutes after being removed from the oven is: °F The turkey will cool to 100°F how many hours after being removed from the oven? hours
The temperature of the turkey 45 minutes after being removed from the oven is approximately 138.6°F.
It will take approximately 2.32 hours (or 2 hours and 19 minutes) for the turkey to cool from 185°F to 100°F.
The rate at which the turkey cools can be modeled using Newton's Law of Cooling, which states that the rate of cooling of an object is proportional to the difference between its temperature and the temperature of its surroundings. Using this law, we can write:
dT/dt = -k(T - Ts)
where dT/dt is the rate of change of temperature with respect to time, k is a constant of proportionality, T is the temperature of the turkey at time t, and Ts is the temperature of the surroundings (75°F in this case).
Solving this differential equation gives:
T(t) = Ts + (T0 - Ts)e^(-kt)
where T0 is the initial temperature of the turkey (185°F in this case).
Using the fact that the temperature of the turkey is 145°F half an hour after being removed from the oven, we can solve for k:
145 = 75 + (185 - 75)e^(-k*0.5)
which gives k = 0.0736.
Using this value of k, we can solve for the temperature of the turkey at 45 minutes (or 0.75 hours) after being removed from the oven:
T(0.75) = 75 + (185 - 75)e^(-0.0736*0.75) = 138.6°F.
To find the time it takes for the turkey to cool from 185°F to 100°F, we can solve for t when T(t) = 100:
100 = 75 + (185 - 75)e^(-0.0736*t)
which gives t ≈ 2.32 hours.
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Create an .R script that when run performs the following tasks
(a) Assign x = 3 and y = 4
(b) Calculates ln(x + y)
(c) Calculates log10( xy
2 )
(d) Calculates the 2√3 x + √4 y
(e) Calculates 10x−y + exp{xy}
R script that performs the tasks you mentioned:
```R
# Task (a)
x <- 3
y <- 4
# Task (b)
ln_result <- log(x + y)
# Task (c)
log_result <- log10(x * y²)
# Task (d)
sqrt_result <- 2 * sqrt(3) * x + sqrt(4) * y
# Task (e)
exp_result <-\(10^{x - y\) + exp(x * y)
# Printing the results
cat("ln(x + y) =", ln_result, "\n")
cat("log10(\(xy^2\)) =", log_result, "\n")
cat("2√3x + √4y =", sqrt_result, "\n")
cat("\(10^{x - y\) + exp(xy) =", exp_result, "\n")
```
When you run this script, it will assign the values 3 to `x` and 4 to `y`. Then it will calculate the results for each task and print them to the console.
Note that I've used the `log()` function for natural logarithm, `log10()` for base 10 logarithm, and `sqrt()` for square root. The caret `^` operator is used for exponentiation.
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what is the value of x? -6x=90
Please show you got the answer
Answer:
-15
Step-by-step explanation:
-6x = 90
x = 90 ÷ -6
x = -15
Answer:
X = -15
Step-by-step explanation:
90/-6 is equal to -15.
You divide the number from the side with the variable from the other side of the = sign.