e) - x^2 + y ^2 = 1
A conveyor belt at a recycling center is 294 feet long. The belt moves 7 feet in 6 seconds. A sorter calculates that it
takes 343 seconds for an object to travel the length of the belt. He places his plastic water bottle at the start of the belt so he can tie
his shoe. He walks to the end of the belt before 343 seconds pass. His bottle is already in the shredder. How many seconds does it
take the water bottle to travel the length of the belt? What is the sorter's error?
The sorter's error is 91 seconds. This means that the sorter miscalculated the time it would take for the water bottle to travel the length of the belt by 91 seconds.
What lengths are examples of?When anything is referred to as being "long," it refers to its overall length. In other words, it is the larger of the third or upper two dimensions of a geometric object. An example of a shape with two dimensions is a rectangle.
To find out how many seconds it takes for the water bottle to travel the length of the belt, we can use the equation:
distance = rate x time
We know the distance (294 feet) and the rate (7 feet per 6 seconds). Let's solve for time:
294 feet = (7 feet/6 seconds) x time
294 feet x 6 seconds = 7 feet x time
1764 seconds = 7 feet x time
time = 1764 seconds / 7 feet
time = 252 seconds
So it takes 252 seconds for the water bottle to travel the length of the belt.
Now let's calculate the sorter's error:
343 seconds - 252 seconds = 91 seconds
The sorter's error is 91 seconds. This means that the sorter miscalculated the time it would take for the water bottle to travel the length of the belt by 91 seconds.
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Which of the following random variables are discrete?
I. L= the number of pages in a randomly selected book
II. A = the number of leaves on a randomly selected tree
III. K= the height of a randomly selected NBA player
a. I only
I and II
b. II and III
c. II and III
d. l,ll, lll
Answer:
Step-by-step explanation:
I and II
Pages in a book and leaves on a tree can be counted precisely. They are discrete.
The height of a person cannot be measured exactly. We can get very good
approximations (to a lot of decimal places) but never exact. This is continuous.
Without doing any calculations, compare Expression A to Expression B. ( 34 + 25 ) ÷ 1 4 34 + 25 Which statement is true? A. Expression A is 2 times as great as expression B. B. Expression B is 4 times as great as expression A. C. Expression A is 4 times as great as expression B. D. The two expressions are equal to each other.
Answer:
C. Expression A is 4 times as great as expression B.
Step-by-step explanation:
Without doing any calculations, compare Expression A to Expression B.
A. (34+25) ÷ 1/4
B. 34+25
Which statement is true?
A. Expression A is 2 times as great as expression B.
B.Expression B is 4 times as great as expression A.
C.Expression A is 4 times as great as expression B.
D. The two expressions are equal to each othe
7 long roms of plants
Without doing any calculation,
Expression A = (34+25) ÷ 1/4
= (34 + 25) × 4/1
= 4(34 + 25)
Expression A = 4(34 + 25)
Expression B = 34 + 25
Therefore,
C.Expression A is 4 times as great as expression B.
Which linear function represents the line given by the point-slope equation y + 1 = -3(x - 5)?
f(x)=-3x-6
f(x)=-3x-4
f(x)=-3x + 16
f(x) = -3x + 14
Answer:
f(x) = -3x + 14
Step-by-step explanation:
y + 1 = -3(x-5)
; y+1 = -3x + 15
;y = -3x + 14
let f(x) equals y. Then, f(x) = -3x + 14
Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one
baby. This method is designed to increase the likelihood that each baby will be a girl, but assume that the method has
no effect, so the probability of a girl is 0.5. Assume that the groups consist of 45 couples. Complete parts (a) through (c)
below.
a) The value of the mean is μ = 22.5
The value of the standard deviation is σ = 3.5
b) The Value of 15 girls or fewer is significantly low.
The value of 30 girls or more is significantly high.
c) The result 36 is significantly high because 36 is greater than 30 girls. A result of 36 girls is not necessarily definitive proof of the method's effectiveness.
What is the standard deviation?The standard deviation is a measure of the amount of variability or dispersion in a set of data values. It is a statistical measure that tells you how much, on average, the values in a dataset deviate from the mean or average value.
According to the given informationa) Since the probability of having a girl for each couple is 0.5, the number of girls each couple will have can be modeled as a binomial distribution with parameters n=1 and p=0.5.
Let X be the random variable denoting the number of girls in 45 couples. Then, X follows a binomial distribution with parameters n=45 and p=0.5.
The mean of a binomial distribution is given by μ = np, so in this case, the mean number of girls in a group of 45 couples is:
μ = np = 45 x 0.5 = 22.5
Therefore, we expect to see around 22-23 girls in a group of 45 couples.
The standard deviation of a binomial distribution is given by σ = √(np(1-p)), so in this case, the standard deviation of the number of girls in a group of 45 couples is:
σ = √(np(1-p)) = √(45 x 0.5 x 0.5) = 3.535
Therefore, we can expect the number of girls in a group of 45 couples to have a standard deviation of around 3.5.
b) In this case, we can assume that the number of girls in a group of 45 couples follows a normal distribution due to the Central Limit Theorem.
Using the standard deviation we found in the previous answer (σ = 3.535), we can calculate the values that separate the results that are significantly high and significantly low.
Significantly high:
Mean + 2σ = 22.5 + 2(3.535) = 29.57
Significantly low:
Mean - 2σ = 22.5 - 2(3.535) = 15.43
c) To determine if the result of 36 girls is significantly high, we need to compare it to the values we calculated in the previous answer.
Mean + 2σ = 22.5 + 2(3.535) = 29.57
Since 36 is greater than 29.57, we can conclude that the result of 36 girls is significantly high.
This suggests that the method of gender selection may be having an effect on the probability of having a girl. However, we cannot conclusively say this without conducting further analysis or testing.
It is also important to note that the result of 36 girls is not necessarily definitive proof of the method's effectiveness.
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How are the two angles related?
The two angles are related in that they are supplementary angles
Supplementary angles would add tuo to 180 degrees according to the angle Theorem.
Adding the two given angles :
52+128 = 180These angles are supplementary
The angles aren't vertical in that , vertical angles should have the same vertex. Complementary angles on the other hand add to 90 degrees. While the angles doesn't share the same side, hence, they aren't adjacent.
Hence, the angles are related as they are supplementary angles .
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A driver starts a trip with 30 gallons of gasoline in the tank of his car. The car
burns 4 gallons for every 80 miles. Assuming that the amount of gasoline in the tank decreases linearly, write a linear function that relates the number of gallons G left in the tank after a journey of "d" miles.
Answer:
Step-by-step explanation:
We have to look at this as something as basic as combining like terms. We know that the driver starts with 30 GALLONS of gas and loses x GALLONS while driving, giving us an equation that says
Gallons of gas used = Gallons in car - gallons used; in other words, if everything is in the same label, you can subtract. We start off with 30 gallons, thus:
Gallons of gas used = 30 G
That's a start, at least. Now we need to figure out how much is burned. Remember, in order to do any subtraction at all we have to have like labels, so we need what goes after that subtraction sign to also be a label in gallons, G. The driver burns 4 gallons per 80 miles times how many miles he drives, so the expression for that is
\(\frac{4G}{80mi}*dmi\) and what happens here is that the label of miles cancels out, leaving us with just G, which is what we're after. The whole equation then is
\(G=30-\frac{4}{80}d\), choice 1
What is the volume of this rectangular prism?
3/5 cm
4/3 cm
5/4 cm
Answer:
1
Step-by-step explanation:
Multiply all of them together
Write the systems of equations from the table below and find the solution?
The system of equations is y = 4x - 3 and y = -1/3x + 4 and the solution is (21/13, 45/13)
How to determine the system of equations?From the question, we have the table of values as the parameters that can be used in our computation:
From the table, we have
Table 1
(x, y) = (0, -3) and (4, 13)
A linear equation is represented as
y = mx + c
Where
Slope = m
c = y when x = 0
This means that
c = -3
So, we have
y = mx - 3
The point (4, 13) implies that
13 = m * 4 - 3
So, we have
4m = 16
m = 4
So, the equation is
y = 4x - 3
Table 2
(x, y) = (0, 4) and (4, 6)
A linear equation is represented as
y = mx + c
This means that
c = 4
So, we have
y = mx + 4
The point (4, 6) implies that
6 = m * 4 + 4
So, we have
4m = -2
m = -1/3
So, the equation is
y = -1/3x + 4
Substitute y = -1/3x + 4 in y = 4x - 3
-1/3x + 4 = 4x - 3
So, we have
-x + 12 = 12x - 9
Evaluate the like terms
13x = 21
Divide
x = 21/13
y = -1/3x + 4 implies that
y = -1/3 x 21/13 + 4
So, we have
y = -7/13 + 4
Evaluate
y = 45/13
So, the solution is (21/13, 45/13)
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honest to god im just sad today can someons do this
Answer: Its answer A
Hope you feel soon better friend.
I NEED HELP ASAP NO LINKS
Answer:
d = y = 4.25x
correct answer i would say.
Step-by-step explanation:
Cheddar cheese cost 4.25 per pound . This means the cost of cheddar cheese is 4.25 for every pound in weight. Assuming we put a currency to the value we can say 1 pound of cheddar cheese is equals to 4.25 dollars($4.25). Mathematically, it can be represented as
4.25 is the cost for 1 pound of Cheddar cheese
Let the cost of the equation be y as required from the question.
y = cost of the cheddar cheese
x is the weight value in pounds of the Cheddar cheese.
The equation can be best represented as
y = 4.25x
In the equation above if the amount in pounds is 3 pound . the value will be inputted for x and the cost will be gotten which is y.
hope this helped!
mark me brainliest :D
An electrician charges y amount to work x hours on a job. The electrician charges a $50 service fee and $30 per hour. His income per job can be modeled using a linear function. The electrician works maximum of 20 hours on any job. What is the range of values for one job?
Answer:
The range of values from one job is between $50 and $650.
Step-by-step explanation:
An electrician charges y amount to work x hours on a job. The electrician charges a $50 service fee and $30 per hour.
This means that his earnings in a job can be modeled by the following function:
\(y = 30x + 50\)
The electrician works maximum of 20 hours on any job. What is the range of values for one job?
Minimum, he works 0 hours, and earns:
\(y(0) = 30(0) + 50 = 50\)
Maximum, he works 20 hours, and earns:
\(y(20) = 30(20) + 50 = 650\)
The range of values from one job is between $50 and $650.
It snowed 3 inches on Monday and 0.5 inches on Tuesday. How much did it snow on Monday and Tuesday combined?
Answer: It snowed 3.5 inches on Monday and Tuesday combined.
Step-by-step explanation: 3 + 0.5 = 3.5 inches of snow
Hope this helped!
The length of a rectangle is 7 inches longer than it is wide. If the area is 170 square inches, what are the dimensions of the rectangle? The width, or shorter side is inches The length, or longer side is inches
Answer:
The length of a rectangle is 7 inches longer than it is wide. If the area is 170 square inches, what are the dimensions of the rectangle?
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
x = width x + 7 = length
x(x+7) = 170
x^2 + 7x - 170 = 0
(x + 17)( x - 10)
Therefore x = 10 as x = -17 no answer.
Width = 10 inches
Length = 17 inches
X=91° and y=42° what is z?
Here, we just need to add x and y and subtract it from 180.
x + y = 91 + 42 = 133.
180 - 133 = 47.
Hence, z = 47 degrees.
Answer:
47°
Step-by-step explanation:
straight line = 180° we remove the angles x and y and find z
180 - 91 - 42 =
47°
HELP MEEEEEE PLEASESEE PLEASE
Answer:
240 grams
Step-by-step explanation:
720-480=240
Answer:
240
Step-by-step explanation:
subtraction
720-480
In the diagram a || b. Use the diagram to answer the question. Name the alternate interior angle to <2
The angle 7 is the alternative interior angle to angle 2.
Given that,In the diagram a || bWe need to find the alternate interior angle to <2 .Alternate interior angles are the angles that are formed when a transversal crosses two parallel lines.
They are the angles that are on opposite sides of the transversal and inside the two parallel lines.
Thus, in the given diagram, the angle that is opposite to angle <2 and is inside the two parallel lines a and b is the alternate interior angle to angle <2.
We can see that the alternate interior angle to angle <2 is <7. Therefore, the alternate interior angle to angle <2 is <7.
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If we change a 95% confidence interval estimate to a 99% confidence interval estimate, we can expect the:___________.
A. width of the confidence interval to increase.
B. width of the confidence interval to decrease.
C. width of the confidence interval to remain the same.
D. sample size to increase.
Answer: A. width of the confidence interval to increase.
Step-by-step explanation:
A 95% confidence interval provides a interval with a 95% probability that the true population parameter lies in it , where 99% confidence interval provides a interval with a 99% probability that the true population parameter lies in it .
Probability of getting true population parameter increases if the width of the interval increases.
Hence, if we change a 95% confidence interval estimate to a 99% confidence interval estimate, we can expect the width of the confidence interval to increases.
hence, the correct option is A.
Coach DeCaro records the cross country runners' times compared to their personal best times.
Runner
Gregor
Hiroki
Isabelle
Juan
Karen
3K Times
Time compared to
personal best
+5.6
-11.6
+3.2
0
-5.2
Which runners ran slower than their personal best?
O Juan
O Gregor and Isabelle
Gregor, Isabelle, and Juan
O Hiroki and Karen
Answer:I think its C but Im not sure
Step-by-step explanation: SMILE MORE!!! :D
Answer: Option B
( ik it's late but i needed the points lol)
Step-by-step explanation:
I got it right on my unit test on edge2021
Please answer the question in the picture
No links please
Answer:
la cuarta imagen (abajo a la derecha)
Step-by-step explanation:
Answer:
It's the first one.
Step-by-step explanation:
Follow the process of completing the square to solve x = 4x +3.
x -
Which of the following equations is used in this process?
(2x - 42.19
(2x4,2= 12
(2x 42-28
9514 1404 393
Answer:
the correct choice is marked
Step-by-step explanation:
The process for completing the square would generally put x-terms on one side of the equal sign and the constant term on the other side:
x^2 +4x = 3
Then the square of half the x-coefficient would be added to both sides. Here, that is (4/2)^2 = 4.
x^2 +4x +4 = 7
In order to make this match one of the answer choices, we must multiply both sides by 4.
4x^2 +16x +16 = 28
Now, we can factor the left side to see a match to the last answer choice.
(2x +4)^2 = 28
_____
Additional comment
As you can see, we had to deviate from the "complete the square" process to arrive at an equation that matches an answer choice. It cannot be said that the chosen equation "is used in the process." It might be useful to discuss this question with your teacher.
Abdul uses 15 1/2 cups of flour to make 3 loaves of bread. At that rate, how many cups of flour would Abdul need to make 4 loaves of bread?
NO ANSWERS FROM UNKNOWN FILES OR I'LL REPORT IT!!!
Please help thank uuuuu
Answer:
12
Step-by-step explanation:
You simply add the coefficients together.
3 + 4 + 5 = 12
Traingle PQR is shown below a rotation of 180 about point M followed by a dilation centered at M with scale factor 2 is applied to the plane what is the measure of angle R’ in the resulting triangle of P’Q’R’
Answer:
Step-by-step explanation:
Cannot give you the number because we are not given the diagram.
However, it will be exactly the same as the measure of angle R in the original triangle PQR.
Rotation and dilation do not change angles.
Rewrite the expression with a single base and exponent. (3^2*3^3)^3
The expression can be rewritten by given term as; 3^15
We need to simplify the expression below:
(3^2 x 3^3)^3
Remember that we can add these exponents, so we get:
(9 x 9)^3 = 81^3
Then we can rewrite this as:
531441
Takin the product between the exponents we will get:
(3^5)^3
Thus, the solution is 3^15
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A mountain climber is at a height of 750 meters and begins his descent.
He descends at a rate of 15 meters per minute. Which function rule describes the climber's height of elevation after t minutes?
Answer:
f(x)=750-15t
Step-by-step explanation:
He starts off at 750 meters, and he decends 15 meters psr minute
Answer:
Step-by-step explanation:
f(x)=750-15t
For each sequence, determine weither it appears to be geometric or not.If it does, find the common ratio(a). 16, 4, 1, 1/4,...(b). 3, -6, 12, -24,...(c). 8, 10, 12, 14,...
Explanation:
To find if the sequence is geometric we have to:
0. Divide each term by the previous term.
,1. Compare the quotients. If they are the same, a common ratio exists and the sequence is geometric.
a. 16, 4, 1, 1/4...
First we divide each term by the previous term:
\(\begin{gathered} \frac{4}{16}=\frac{1}{4} \\ \frac{1}{4}=\frac{1}{4} \\ \frac{\frac{1}{4}}{1}=\frac{1}{4} \end{gathered}\)All these quotients are the same. This means that this sequence is geometric and its common ratio is 1/4
b. 3, -6, 12, -24...
Divide each term by the previous one:
\(\begin{gathered} \frac{-6}{3}=-2 \\ \frac{12}{-6}=-2 \\ \frac{-24}{12}=-2 \end{gathered}\)All these quotients are equal. Therefore this sequence is geometric and its common ratio is -2
c. 8, 10, 12, 14...
Divide
\(\begin{gathered} \frac{10}{8}=\frac{5}{4} \\ \frac{12}{10}=\frac{6}{5} \\ \frac{14}{12}=\frac{7}{6} \end{gathered}\)These quotients are all different. This is not a geometric sequence
Answers:
a. It is geometric. Common ratio = 1/4
b. It is geometric. Common ratio = -2
c. It is not geometric
A circle is shown 10 cm. What is the circumference of the circle, to the nearest tenth of a centimeter
Answer:
31.42cm
Step-by-step explanation:
Answer. We know that C = πd. Since the diameter is 10cm, we know that C = π x 10cm = 31.42cm (to 2 decimal places).
The measure of one small angles of a right triangle is 45 less than twice the measure of the other small angle. Find the measure of both angles
Answer:
x + x - 45 = 90
2x - 45 = 90
2x = 135
x = 67.5, so x - 45 = 22.5
The other two angles measure 22.5° and 67.5°.
Sierra left $4.50 as a tip for a waiter. This was 18% of the bill before the tip. How much was her bill before adding the tip?
Answer:
25
Step-by-step explanation:
what is 4.5 18% of
100 / 18 = 5.56
4.5 x 5.55... = 25