Answer:
He recycles 23 pounds of glass and 23 pounds of aluminum.
Step-by-step explanation:
To know the number of pounds of glass, we need to divide the amount received for his glass bottles by the amount per pound of glass, so:
\(\frac{2.53}{0.11} = 23 pounds\\\)
In the same way, to know the number of pounds of aluminum, we need to divide the amount received by the amount per pound, so:
\(\frac{5.75}{0.25} = 23 pounds of aluminum\)
Therefore, he recycles 23 pounds of glass and 23 pounds of aluminum
To make his special energy drink, Jerome uses 8 cups of water and 3 cups of drink mix.
What is the ratio of water to drink mix? (2 points)
Answer:
every 3 cups of water he uses 2.6666666667 drink mix
Boats from all along the Atlantic coast dock at a busy marina. Of the first 13 boats to dock at the marina one day, 5 were from North Carolina. What is the experimental probability that the next boat to dock will be from North Carolina?
At a glass vase factory, 2 out of the last 10 vases produced were chipped. What is the experimental probability that the next vase will be chipped?
Answer:
the experimental probability that the next vase produced at the factory will be chipped is 1/5.
Step-by-step explanation:
Since 5 out of the 13 boats that docked were from North Carolina, the experimental probability of the next boat being from North Carolina is the number of favorable outcomes (i.e., the number of boats from North Carolina) divided by the total number of outcomes (i.e., the total number of boats that docked).
Therefore, the experimental probability that the next boat to dock will be from North Carolina is:
P(North Carolina) = 5/13
For the second question:
Since 2 out of the last 10 vases produced were chipped, the experimental probability that the next vase will be chipped is:
P(chipped) = 2/10 = 1/5
Therefore, the experimental probability that the next vase produced at the factory will be chipped is 1/5.
PLEASE HELP!!
The domain of a function f(x) is x <_ 0, and the range is y <_-1. What are the domain and range of its inverse function, f-1(x)?
Answer:
Option D.
Step-by-step explanation:
Domain and range of inverse function:
The domain of the inverse function(x values) is the range(y values) of the original function.
The range of the interse function(y values) is the domain of the original function(x values).
Original function:
Domain: \(x \geq 0\)
Range: \(y \leq -1\)
Inverse function:
x values in the domain of the inverse function are the y values in the range of the original function. So
Domain: \(x \leq 1\)
Same for range(exchange of y and x).
Range: \(y \geq 0\)
The answer is given by option D.
Which of the following points is a solution to the system of inequalities?
(A) (-4,4)
(B) (2,6)
(C) (8,-6)
(D) (6,3)
Answer:
Step-by-step explanation:
Answer:
A. is the answer
Step-by-step explanation:
A. Since there is one value of y for every value of x
B. is not a function x = − 4 produces y = 4 and y = 3
C. is not a function x = 6 produces y = 6 and y = 3
D. is not a function x = 6 produces y = 3 and y = 5
A triangle has sides with lengths of 8 miles, 15 miles, and 18 miles. Is it a right triangle?
Answer:
No
Step-by-step explanation:
for it to be a right triangle, a² + b² = c². C must be the larger of the 3 sides, which in this case is 18. if you substitute 8 for a and 15 for b, you do not get C = 18, meaning that this is not a right triangle
Need a answer someone helps me
Answer: 3x - 2 + 7x - 6 + x, 46°, 118°, 16° in that order
Step-by-step explanation:
We know that the sum of the angles in a triangle is 180° so we can write the equation
(3x - 2) + (7x + 6) + x = 180
3x + 7x + x - 2 + 6 = 180
11x + 4 = 180
11x + 4 - 4 = 180 - 4
11x = 176
x = 176 ÷ 11 = 16 meaning that angle N = x = 16°
From here we can work out angle L = 3x - 2 = 3 × 16 - 2 = 48 - 2 = 46°
And angle M = 7x + 6 = 7 × 16 + 6 = 118°
This may be hard to put together, but I need help with an angle equation. I'm looking for example equations and how to do these types of equations. *please note that this equation is completely random and probably ends with an ugly number. it's just an example of a type of problem*
Example: (2x - 4) x=7 so (2x (x=7) - 4) =18
Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.
Determine whether the relation shown in the table is a function. Justify your reasoning.
The relation shown in the table is not a function.
What is function?A function is a process or set of instructions that takes inputs, performs a specific task, and produces an output. Functions are key components of programming languages, allowing the coder to create complex commands with simple instructions. For example, a function can be used to add two numbers together or to generate a random number. Functions can also be combined to create more complex sequences of instructions.
This is because for the input of x = 9, there are two corresponding outputs of y, namely 6 and 4. This does not satisfy the definition of a function, which states that for any given input, there must be only one output. Therefore, the relation shown in the table is not a function.
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PLEASE PLEASE PLEASE HELP!
19
If the random variable, X, has a Poisson distribution with a mean of 4 events per minute, the mean number of events per hour is:__________.
Answer:
240 events
Step-by-step explanation:
Given that:
Mean = 4 events per minute
The mean number of events per hour :
Number of Events per minute * (number of minutes per hour)
Number of minutes per hour = 60
Hence, mean number of events per hour :
4 * 60 = 240
Find the sum or difference.
(4y + 3) - (y – 2)
SHOW ALL THE WORK THAT YOU DID TO FIND THIS ANSWER for points!
Match the change in the position of the minute hand with the angle made by the change.
The minute hand
moves from 2 to 9.
The minute hand
moves from 3 to 7.
The minute hand
moves from 4 to 6.
The minute hand
moves from 1 to 4.
The minute hand
moves from 5 to 10.
Match the change in the position of the minute hand with the angle made by the change.
π/3 → The minute hand moves from 4 to 6.
2π/3 → The minute hand moves from 3 to 7.
5π/6 → The minute hand moves from 5 to 10.
7π/6 → The minute hand moves from 2 to 9.
A plane flying horizontally at an altitude of 1 mile and a speed of 480 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it has a total distance of 5 miles away from the station. (Round your answer to the nearest whole number.)
Answer:
to the nearest whole number, we get:
dd/dt ≈ 490 miles per hour
Step-by-step explanation:
Let's call the distance between the plane and the radar station "d". We want to find the rate at which this distance is increasing when the total distance between the plane and the station is 5 miles.
We can use the Pythagorean theorem to relate the distance d to the altitude h of the plane:
d^2 = h^2 + x^2
where x is the horizontal distance the plane has traveled from directly above the station.
Taking the derivative of both sides with respect to time t, we get:
2d * dd/dt = 2h * dh/dt + 2x * dx/dt
where dd/dt is the rate at which the distance between the plane and the station is changing, and dh/dt and dx/dt are the rates at which the altitude and horizontal distance are changing, respectively.
At the moment when the plane is 5 miles away from the station, we have:
d = 5 miles
h = 1 mile (since the plane is flying at an altitude of 1 mile)
dx/dt = 480 mi/h (since the plane is flying horizontally at a speed of 480 mi/h)
We want to find dd/dt, the rate at which the distance between the plane and the station is increasing. We can solve for dd/dt by plugging in the given values and solving for it:
2d * dd/dt = 2h * dh/dt + 2x * dx/dt
2(5 miles) * dd/dt = 2(1 mile) * 0 + 2x * (480 mi/h)
10 * dd/dt = 960 * x
We still need to find x, the horizontal distance traveled by the plane when it is 5 miles away from the station. We can use the Pythagorean theorem again:
d^2 = h^2 + x^2
(5 miles)^2 = (1 mile)^2 + x^2
x^2 = (5 miles)^2 - (1 mile)^2
x = √(24 miles^2)
x = 4.899 miles (rounded to three decimal places)
Now we can plug in the value of x and solve for dd/dt:
10 * dd/dt = 960 * x
10 * dd/dt = 960 * 4.899
dd/dt = 489.9 (rounded = 490)
Ect edt A weather center collects rain data for 10 years at two lakes. The amount of annual rainfall for each lake during that time period is shown by the graphs. Annual Rainfall Amounts Lake Warbler Lake Mockingbird + + + + + 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 Rainfall (inches) 2 Which statement correctly describes the spreads of the data distributions for the lakes? The spreads of the data distributions are about the same for both lakes. BThe spread of the data distribution for Lake Mockingbird is about 40% greater than the /spread for Lake Warbler. The spread of the data distribution for Lake Mockingbird is 3 inches less than the spread of the data distribution for Lake Warbler. The spread of the data distribution for Lake Mockingbird is 5 inches greater than the spread of the data distribution at Lake Warbler. 3 Which statement is NOT true about the data? A The spreads for the first 25% of the data distributions for both lakes are equal. B The distribution for Lake Mockingbird shows a center that is 3 inches greater than the center of the distribution for Lake Warbler. C The interquartile range of the data distribution for Lake Warbler is about 60% of the interquartile range for Lake Mockingbird. D The data distributions for both lakes appear to be skewed left.
The correct answer is B. The spread of the data distribution for Lake Mockingbird is about 40% greater than the spread for Lake Warbler.
What is the data distribution?
The data distribution refers to the pattern of the data values in a dataset. It describes how the data is spread out, including the range of values, the shape of the distribution, and any clustering or gaps in the data. The data distribution can be described using various statistical measures, such as the mean, median, and standard deviation.
The correct answer to the first question is B: "The spread of the data distribution for Lake Mockingbird is about 40% greater than the spread for Lake Warbler."
For the second question, the statement that is NOT true about the data is B: "The distribution for Lake Mockingbird shows a center that is 3 inches greater than the center of the distribution for Lake Warbler."
hence, The correct answer is B. The spread of the data distribution for Lake Mockingbird is about 40% greater than the spread for Lake Warbler.
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HELP PLS If there were 180 minions with you in the lab and only three-fifths made it through the door, how many minions are still with us?
Answer:
they all passed away so they went back to GRU and he burried them and at their f l e s h, The rest all ran away.
the three data sets show the number of text messages sent by jada, and diego, and lin over 6 days. one of the data sets has a mean of 4, one has a mean of 5, and one has a mean of 6.
1. which data set has which mean? what does this tell you about the text messages sent by the three students?
2. which data set has the greatest variabillity? Explain
1. Jada's data set has a mean of 5, Diego's data set has a mean of 6, and Lin's data set has a mean of 4.
2. The data set that has the greatest variability is Lin's data set because it has the highest standard deviation of 3.6.
How to calculate the mean for the set of data?In Mathematics and Geometry, the mean for this set of data can be calculated by using the following formula:
Mean = [F(x)]/n
Question 1.
In this scenario and exercise, we would determine the mean of the three data sets based on the number of text messages sent by Jada, and Diego, and Lin over 6 days as follows;
Mean number of text for Jada = (4 + 4 + 4 + 6 + 6 + 6)/6
Mean number of text for Jada = 30/6
Mean number of text for Jada = 5.
Mean number of text for Diego = (4 + 5 + 5 + 6 + 8 + 8)/6
Mean number of text for Diego = 36/6
Mean number of text for Diego = 6.
Mean number of text for Lin = (1 + 1 + 2 + 2 + 9 + 9)/6
Mean number of text for Lin = 24/6
Mean number of text for Lin = 4.
Question 2.
In Statistics, variability is a measure of the spread of a data set. Also, we would use standard deviation to determine the variability in each data set as follows;
Standard deviation = √(1/n × ∑(xi - u₁)²)
Standard deviation for Jada = √(1/6 × [(4 - 5)² + (4 - 5)² + (4 - 5)² + (6 - 5)² + (6 - 5)² + (6 - 5)²]
Standard deviation for Jada = √(6/6) = 1
Standard deviation for Diego = √(1/6 × [(4 - 6)² + (5 - 6)² + (5 - 6)² + (6 - 6)² + (8 - 6)² + (8 - 6)²]
Standard deviation for Diego = √(14/6) = 1.53
Standard deviation for Lin = √(1/6 × [(1 - 4)² + (1 - 4)² + (2 - 4)² + (2 - 4)² + (9 - 4)² + (9 - 4)²]
Standard deviation for Lin = √(76/6) = 3.6
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
right triangle trigonometry math lib find missing angle:
The value of the missing angle is \(34.1^{o}\). Option C.
Trigonometric functions.Trigonometric functions are a set of functions which can be used to determine the value of an unknown side or angle of a given right triangle.
To determine the missing angles, we have;
sin x = opposite/ hypotenuse
= 14/ 25
sin x = 0.56
x = sin^-1 0.56
= 34.0558
x = \(34.1^{o}\)
The value of the missing angle is \(34.1^{o}\). Option C.
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3. Match each staternent with an expression that could be used to find the price
p+ 0.3p
0.7p
e. 85% more than the original time
f 15% less time than the original
g. 85% time decrease
h, 15% time increase
17p
p-07p
I
4. Ronnie increased the amount of money in his piggy bank by 25%. Which expres
find the amount of money in his bank? Let "m" represent the original
Answer:
3a) 30% more than original price
b) 70% of the original price
c) 17times the original price
d) 70% less than original price
e) t + 0.85t
f) t - 0.15t
g) t - 0.85t
h) t + 0.15t
4. The expression that can be used to find the amount of money in his bank = m + 0.25m
Question:
3. Match each statement with an expression that could be used to find the price.
'The expressions for a to d were not stated in the question'.
a) p+ 0.3p
b) 0.7p
c) 17p
d) p-07p
'From e to h, we were not told what to determine'.
Write the expression in terms of time
e. 85% more than the original time
f. 15% less time than the original
g. 85% time decrease
h. 15% time increase
4. Ronnie increased the amount of money in his piggy bank by 25%. Which expression can be used to find the amount of money in his bank? Let "m" represent the original.
Step-by-step explanation:
let original price = p
a) p+ 0.3p = p + 30% of p
30% more than original price
b) 0.7p = 70% of p
= 70% of the original price
c) 17p = 17 × p
= 17times of the original price
d) p-0.7p = p - 70% of p
= 70% less than original price
Let original time = t
e) 85% more than the original time = t + 85%of t
= t + 0.85t
f) 15% less time than the original time = t - 15% of t
= t - 0.15t
g) 85% time decrease = t - 85% of t
= t - 0.85t
h) 15% time increase = t + 15% of t
= t + 0.15t
4. Since "m" represent the original amount in Hus piggy bank
An increase of 25% = original amount + 25% of original amount
= m + 25% of m
'Of' means multiplication
= m + 0.25 ×m
= m + 0.25m
= 1.25m
The expression that can be used to find the amount of money in his bank = m + 0.25m
please help me quick :(
Triangle PQR is transformed to triangle P'Q'R'. Triangle PQR has vertices P(4, 0), Q(0, −4), and R(−8, −4). Triangle P'Q'R' has vertices P'(1, 0), Q'(0, −1), and R'(−2, −1).
Plot triangles PQR and P'Q'R' on your own coordinate grid.
Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P'Q'R'? Explain your answer. (4 points)
Part B: Write the coordinates of triangle P"Q"R" obtained after P'Q'R' is reflected about the y-axis. (4 points)
Part C: Are the two triangles PQR and P''Q''R'' congruent? Explain your answer. (2 points)
NO LINKS PLEASE :)
Answer:
I don't know how helpful I'll be, sorry :(
Step-by-step explanation:
So the scale factor is 1/4 reduction because the triangle P'Q'R' is smaller than the original. When reflecting the triangle P'Q'R' over the Y axis, you'll have P"Q"R". The graphing might be a little confusing but it's just a vertical reflection.
P" = (-1,0)
Q"= (0,-1)
R"= (2,-1)
Triangles PQR and P"Q"R" are not congruent because P"Q"R" has had a 1/4 reduction and a vertical reflection.
The perimeter of a rectangular painting is 304 centimeters. If the width of the painting is 61 centimeters, what is its length?
Answer:
The width of the rectangle is 91 cm
Step-by-step explanation:
61 × 2 = 122
304 - 122 = 182
182 ÷ 2 = 91
Answer:
91 cm
Step-by-step explanation:
61 x 2 (because there are 2 sides with length 61) = 122
304 - 122 = 182
182 / 2 = 91
Pls help!!!! There are 3, 200 students are our school.
If 52% of them are boys, how many girls are enrolled in our school?
Answer:
1,536
Step-by-step explanation:
3,200×52%=1,664
3,200-1,664=1,536
Answer:
1,536
Step-by-step explanation:
Total students = 3,200
Percentage of boys = 52%
Percentage of girls = (100 - 52) % = 48%
No of girls enrolled in the school
= 48% of 3200
= 0.48 * 3200
= 1,536
The ordered pair (2, 10) is a point on a direct variation equation. Write the direct variation equation.
Answer:
Y=KX so its 10=K2
Step-by-step explanation:
Plug in the Number OR K=y/x
a formula in the form y=mx+b models the cost, y, of four-year college x years after 2010. would you expect m to be positive, negative, or zero? explai your answer
we would expect m to be positive.
In this case, we're considering a formula of the form y = mx + b, where y represents the cost of a four-year college x years after 2010. The variable m represents the coefficient of x, which determines the slope of the line.
Since we're discussing the cost of college, it's reasonable to expect that it generally increases over time. Therefore, we would expect the coefficient m to be positive. A positive value of m indicates that as the number of years after 2010 increases (x), the cost of college (y) will also increase.
If m were negative, it would imply a decreasing cost over time, which is less likely for a four-year college. If m were zero, it would indicate that the cost remains constant regardless of the number of years after 2010, which is also unlikely given the rising trend in college costs.
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John has 54 white marbles and 9 yellow marbles. Ben has 16 white marbles and 96 yellow marbles. Noel has 12 white marbles and 72 yellow marbles.
The boys who have the same ratio of white marbles to yellow marbles are
.___?
The people with same ratio include Ben and Noel.
How to illustrate the ratio?Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).
John has 54 white marbles and 9 yellow marbles. The ratio will be:
= 54/9
= 6:1
Ben has 16 white marbles and 96 yellow marbles. The ratio will be:
= 16/96.
= 1:6
Noel has 12 white marbles and 72 yellow marbles. The ratio will be:
= 12/72
= 1:6
Therefore, Ben and Noel has same ratio.
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what is this??????????????
Answer:15. C
16. D
17.B
18.A
Step-by-step explanation:
dose the graph show a function? explain how you know
Answer:
No
Step-by-step explanation:
the graph fails the vertical line test
Solve the following inequality:
Answer:
\(r \geqslant - 16\)
Step-by-step explanation:
\( \frac{ - 10 + r}{2} \geqslant - 13\)
multiply both sides by 2:
\( - 10 + r \geqslant - 26\)
add 10 on both sides:
\(r \geqslant - 16\)
Answer:
\(r \ge -16\)
Step-by-step explanation:
To solve any equation/inequality:
1. get the variable to show up exactly once
2. isolate it
\(\frac{-10+r}{2} \ge -13\)
Multiply both sides by 2 and simplify (note that we're multiplying by a positive, not a negative, so the direction of the inequality stays the same, whereas multiplying or dividing by a negative would have changed the direction of the inequality)
\(\frac{-10+r}{2} *2 \ge -13 *2\)
\(-10+r \ge -26\)
Add 10 to both sides, and simplify
\((-10+r)+10 \ge (-26)+10\)
\(r \ge -16\)
A survey asks 184 people "What beverage do you drink in the morning?", and offers choices:
• Coffee only
• Tea only
• Both tea and coffee
• Neither tea nor coffee
Suppose 52 report tea only, 44 report coffee only, and 68 report both.
what is the question?
will mark brainleist pls help
Answer:
x = 31°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180° , that is
x + 54° + 95° = 180°
x + 149° = 180° ( subtract 149° from both sides )
x = 31°