Answers
Answer:
d yess i think it is if right mark branly pleasee
Step-by-step explanation:
Related Questions
-3,2
14. Steve is cashing in his jar of spare nickels, dimes, and quarters. When he gets to the bank, he receives a total of
$11.55. He learns that he had 105 coins in all, and that there were 3 times as many dimes as quarters. How many of each
type of coin did he save?
Answers
Answer:
25 quarters, 75 dimes, and 5 nickels
Step-by-step explanation:
Let's start by defining some variables to represent the number of each type of coin Steve has:
Let's call the number of quarters Q.
The number of dimes will be 3 times the number of quarters, so we can call the number of dimes D = 3Q.
Finally, the number of nickels will be the remaining coins, which we can represent as N = 105 - Q - D.
Now we can set up an equation based on the total value of the coins:
0.25Q + 0.1D + 0.05N = 11.55
We can substitute the expressions we defined earlier for D and N:
0.25Q + 0.1(3Q) + 0.05(105 - Q - 3Q) = 11.55
Simplifying and solving for Q:
0.25Q + 0.3Q + 2.625 - 0.2Q = 11.55
0.35Q = 8.925
Q = 25.5
We can't have half a coin, so we know that Steve has 25 quarters. Using the expressions we defined earlier, we can find the number of dimes and nickels:
D = 3Q = 3(25) = 75
N = 105 - Q - D = 105 - 25 - 75 = 5
Therefore, Steve has 25 quarters, 75 dimes, and 5 nickels.
Determine if the following tatement i true or fale. For every fale tatement, explain why it i fale or provide a true tatement for the example. In the expreion 8x34 =( 8x−−√4)3
Answers
False. 8x34 does not equal (8x−−√4)3. The correct expression is 8x3√4 = (8x−−√4)3.
To determine if the statement is true or false, we must first calculate the left-hand side and the right-hand side of the equation. On the left-hand side, we have 8x34, which can be simplified to (8x3)4, and the result of that calculation is 4096. On the right-hand side, we have (8x−−√4)3, which can be simplified to (8x2)3, and the result of that calculation is 512. Because the results of these calculations are not equal, the statement is false. To make the statement true, we must change the equation to 8x3√4 = (8x−−√4)3. This equation can be simplified to (8x2)3 = (8x2)3, which is true.
8x34 = (8x3)4 = 4096
(8x−−√4)3 = (8x(√4)−−1)3 = (8x2)3 = 512
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Choose the correct simplification of the expression (c4)3. a. c-1 b. c7 c. c12 d. c64
Answers
The correct simplification of the expression is c12 (option c).
The expression (c^4)^3 can be simplified using the exponent rules for powers of a power, which states that when a power is raised to another power, we can multiply the exponents.
Thus, we have:
(c^4)^3 = c^(43) [Using the rule (a^m)^n = a^(mn)]
Simplifying the exponent 4*3, we get:
c^(4*3) = c^12
Therefore, the correct simplification of the expression is c^12.
Option (c) is the correct answer as it correctly represents the simplified form of the given expression. Option (a) c^-1, option (b) c^7, and option (d) c^64 are not correct because they do not follow the exponent rules used to simplify the expression.
In summary, the expression (c^4)^3 simplifies to c^12, which is option (c) in the given options.
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What happens to the signs when you reflect a point across both axes?
Answers
when we reflect a point (p, q) over the y-axis the y-coordinate stays the same but the x-coordinate changes signs so the image is (-p, q).
Reflect a point
A reflection point occurs when a figure is constructed around a single point known as the point of reflection or center of the figure.
coordinates
it is usually a pair of numbers: the first number shows the distance along, and the second number shows the distance up or down.
image of point
The image of the point about the line y=x can be obtained by interchanging the x-coordinate and y-coordinate of the point.
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Given the graphs of f(x) =x -7 and g(x) =-5x-1, what is the solution to the equation f() = g(x)?
Answers
Answer:
1
Step-by-step explanation:
x-7=-5x-1
x-(-5x)-7=-1
x+5x-7=-1
6x-7=-1
6x=-1+7
6x=6
x=6/6
x=1
An arithmetic sequence begins with 72, 64, 56, 48, 40 …
Which option below represents the formula for the sequence?
f(n) = 72 + 8(n − 1)
f(n) = 72 − 8(n − 1)
f(n) = 64 + 8(n − 1)
f(n) = 64 − 8(n)
Answers
Answer:
The correct option is f(n) = 72 - 8(n - 1).
Expand 3(c + 3).
3(c + 3) =
Answers
Answer:
3c + 9
Step-by-step explanation:
Remember to multiply everything in the brackets by the number outside the brackets.
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What is the coefficient of the second term in this expression?
a2c3+a3c+1+ac2
Answers
Answer:
1
Step-by-step explanation:
I assume the term is , and since there is no visible coefficient the coefficient is implied to be 1
What is greater 100,000 cm or 1 mi PLEASE HELPPPPPPP
Answers
Answer:
1 mile
Step-by-step explanation:
1m =160934 cm
a density graph for all the possible weights between 0 pounds and 100 pounds is in the shape of a rectangle. what is the height of the rectangle in this density curve
Answers
answer: 0.001
I got the answer from the quiz 4.1.3 continuous random variables
Answer:
0.01
Step-by-step explanation:
what is the odds ratio for people afraid of heights being afraid of flying against people not afraid
Answers
The odds ratio for people who are afraid of heights being afraid of flying can be calculated using a case-control study design. In this design, individuals with and without a fear of flying are compared to determine the odds of having a fear of flying if someone already has a fear of heights. The odds ratio can be calculated by dividing the odds of having a fear of flying among those who are afraid of heights by the odds of having a fear of flying among those who are not afraid of heights. A higher odds ratio indicates a stronger association between the two fears.
Odds ratio is a measure of the strength of association between two variables. In this case, we are interested in the association between a fear of heights and a fear of flying. By calculating the odds ratio, we can determine if there is a higher likelihood of having a fear of flying if someone already has a fear of heights.
In conclusion, the odds ratio for people afraid of heights being afraid of flying can be calculated using a case-control study design. The higher the odds ratio, the stronger the association between the two fears. By understanding this relationship, we can better understand how different fears may be related and how they can impact our lives.
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2) 0.275 is what type of number? Check all that apply.
Rational
Integer
Natural
Real
Answers
Answer:
A) Rational
Step-by-step explanation:
0.275 is a rational number.
Answer:
Rational
Real
Step-by-step explanation:
A rational number in which the decimal doesn't repeat forever.
A real number is any number that isn't imaginary.
The number 0.275 checks those two categories.
An integer is a number that is not a fraction.
A natural number is any positive number that is not a decimal.
The number 0.275 does not check these two categories.
Best of Luck!
(3\%) Problem 16: A bicycle tire contains 1.2 liters of air at a gauge pressure of 5.4×105 Pa. The composition of air is about 78% nitrogen (N2) and 21% oxygen (O2, both diatomic molecules. How much more intemal energy, in joules, does the air in the bicycle tire have than an equivalent volume of air at atmospheric pressure and the at the same temperature?
Answers
The difference in internal energy between the air in the bicycle tire and an equivalent volume of air at atmospheric pressure is ΔU ≈ 0.2511J/K * T
To calculate the difference in internal energy between the air in the bicycle tire and an equivalent volume of air at atmospheric pressure, we need to consider the ideal gas law and the difference in pressure.
The ideal gas law states:
PV = nRT
Where:
P = pressure
V = volume
n = number of moles of gas
R = ideal gas constant
T = temperature
Since we are comparing the same volume of air, we can assume V1 = V2, and the equation becomes:
P1 = n1RT
P2 = n2RT
The internal energy (U) of an ideal gas depends only on its temperature. Therefore, the internal energy of the air in the bicycle tire and the equivalent volume of air at atmospheric pressure will be the same if they have the same temperature.
To calculate the difference in internal energy, we need to consider the difference in pressure. The change in internal energy (ΔU) can be expressed as:
ΔU = n1RT - n2RT
To calculate the moles of each gas (nitrogen and oxygen) in the given composition, we need to consider their percentages.
Composition: 78% nitrogen (N2) and 21% oxygen (O2)
Volume: 1.2 liters
Pressure: 5.4×10^5 Pa
We can assume that the temperature is constant.
Let's calculate the moles of each gas:
For nitrogen (N2):
n1 = 78% * V / Vm
= 0.78 * 1.2 L / 22.4 L/mol
≈ 0.0415 mol (rounded to four decimal places)
For oxygen (O2):
n2 = 21% * V / Vm
= 0.21 * 1.2 L / 22.4 L/mol
≈ 0.0113 mol (rounded to four decimal places)
Now, we can calculate the difference in internal energy:
ΔU = n1RT - n2RT
= (0.0415 mol) * R * T - (0.0113 mol) * R * T
= (0.0415 - 0.0113) mol * R * T
= 0.0302 mol * R * T
Since the temperature (T) is the same for both scenarios, we can simplify the equation to:
ΔU = 0.0302 mol * R * T
The value of the ideal gas constant (R) is approximately 8.314 J/(mol·K).
Therefore, the difference in internal energy between the air in the bicycle tire and an equivalent volume of air at atmospheric pressure is:
ΔU ≈ 0.0302 mol * 8.314 J/(mol·K) * T ≈ 0.2511J/K * T
Please note that we need the temperature (T) in order to calculate the exact value of the difference in internal energy.
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Solve for z.
6.6 = 3(z − 16.9) − –0.6
z =
Answers
Answer:
z = 18,9
Step-by-step explanation:
\(6.6 = 3(z - 16.9) - - 0.6\)
\(6.6 = 3z - 50.7 - ( - 0.6)\)
\(6.6 = 3z - 50.7 + 0.6\)
\(6.6 = 3z - 50.1\)
\(6.6 - 3z = - 50.1\)
\( - 3z = - 50.1 - 6.6\)
\( - 3z = - 56.7\)
\(z = 18.9\)
What is the Surface Area (SA) of a sphere that has a diameter of 4?
Answers
Answer:
50.24
Step-by-step explanation:
radius R = 2
SA = 4πR^2 = 4π*2^2 = 16π = 16*3.14 = 50.24
How do you describe the graph of linear equation in terms of its intercept and?
Answers
The slope-intercept form of the equation is y = - mx + b.
The equation of a line can be expressed in a variety of ways. Although they may differ in appearance, all of them describe the same line because multiple equations can describe the same line. However, all linear equations describing the same line are equivalent.
The formula y = mx + b can be used to represent any straight line. Any straight line equation, known as a linear equation, can be expressed as y = mx + b, where m denotes the line's slope and b its y-intercept. The value of y at the line's intersection with the y-axis is its y-intercept.
Given a graph of the equation, choose two points on the line and use them to calculate the slope in order to put the equation in slope-intercept form. This is the answer to the equation's question. Next, determine the y-coordinates, intercept's which should be of the type (0,b). The value in the equation is the y-coordinate.
Thus, the equation derived from the graph is as follows:
Since we are aware that the slope here is negative,
Therefore Our formula is y = -mx + b.
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If you want to increase an amount by 15%, what is the multiplying factor?
with a clear explanation
Answers
Answer:
multiplying factor = 1.15
Step-by-step explanation:
the original amount is 100%
the increase is 15%
then increasing the original amount by 15% is
100% + 15% = 115% = \(\frac{115}{100}\) = 1.15
multiplying factor is 1.15
AABC Is dilated by a scale factor of 3 with the origin as the center of dilation to form AA' BC. The slope of AB is -1.2. The length of AB is
p units, the length of AC is qunits, and the length of BC is runits.
The slope of A' B' is The length of A'C' is
units.
Answers
Answer:
The slope of new figure A'B'C' = -1.2
A'B' = 3p units
A'C' = 3q units
Step-by-step explanation:
The value of each of the corresponding length of dilated figures (new image) = scale factor multiplied by the corresponding length in original figure.
scale factor = 3
Length of AB = p units
the length of AC = qunits
the length of BC = runits
A'B' = 3p units
A'C' = 3q units
B'C' = 3r units
slope of new figure = slope of previous figure
The slope remains the same = -1.2
The slope of the new figure is mathematically given as
dS=1.2
What is the slope of the new figure?Question Parameter(s):
The slope of AB is -1.2.
The length of AB is punits
The length of AC is qunits
The length of BC is runits.
Generally, the lengths of the new region are mathematically given as
A'B' = 3p units
A'C' = 3q units
B'C' = 3r units
In conclusion, with the new region consistent in its increase across all regions the slope will remain
dS=1.2
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Which statement describes the behavior of the function f(x)=
2x
3?
1- x2
Answers
Answer:
2x
f(x) = -------------- or f(x) = 2x / (1-x^2)
1 - x^2
to eliminate any ambiguity. The graph of this function passes thru the origin (0,0) and has vertical asymptotes at x = -1 and x = + 1. The function is negative on (-1,0) and positive on (0,1).
Additionally, there are two horizontal asymptotes. As x grows large and negative, f(x) approaches zero from above. As x grows large and positive, f(x) approaches zero from below.
Answer:
B on edg
Step-by-step explanation:
Given the discrete uniform population: 1 fix} = E El. elseweltere .x=2.4ifi. Find the probability that a random sample of size 511, selected with replacement, will yield a sample mean greater than 4.1 but less than 4.11. Assume the means are measured to the any level of accuracy. {3 Points}.
Answers
The probability of obtaining a sample mean between 4.1 and 4.11 in a random sample of size 511 is 0.
To calculate the probability that a random sample of size 511, selected with replacement, will yield a sample mean between 4.1 and 4.11 in a discrete uniform population with x = 2.4, we can use the properties of the sample mean and the given population.
In a discrete uniform population, all values are equally likely. Since the mean of the population is x = 2.4, it implies that each value in the population is 2.4.
The sample mean is calculated by summing all selected values and dividing by the sample size. In this case, the sample size is 511.
To find the probability, we need to calculate the cumulative distribution function (CDF) for the sample mean falling between 4.1 and 4.11.
Let's denote X as the value of each individual in the population. Since X is uniformly distributed, P(X = 2.4) = 1.
The sample mean, denoted as M, is given by M = (X1 + X2 + ... + X511) / 511.
To find the probability P(4.1 < M < 4.11), we need to calculate P(M < 4.11) - P(M < 4.1).
P(M < 4.11) = P((X1 + X2 + ... + X511) / 511 < 4.11)
= P(X1 + X2 + ... + X511 < 4.11 * 511)
Similarly,
P(M < 4.1) = P(X1 + X2 + ... + X511 < 4.1 * 511)
Since each value of X is 2.4, we can rewrite the probabilities as:
P(M < 4.11) = P((2.4 + 2.4 + ... + 2.4) < 4.11 * 511)
= P(2.4 * 511 < 4.11 * 511)
Similarly,
P(M < 4.1) = P(2.4 * 511 < 4.1 * 511)
Now, we can calculate the probabilities:
P(M < 4.11) = P(1224.4 < 2099.71) = 1 (since 1224.4 < 2099.71)
P(M < 4.1) = P(1224.4 < 2104.1) = 1 (since 1224.4 < 2104.1)
Finally, we can calculate the probability of the sample mean falling between 4.1 and 4.11:
P(4.1 < M < 4.11) = P(M < 4.11) - P(M < 4.1)
= 1 - 1
= 0
Therefore, the probability that a random sample of size 511, selected with replacement, will yield a sample mean between 4.1 and 4.11 in the given discrete uniform population is 0.
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All thwe shape have the same area. Which shape has the smallest perimeter?
Answers
Answer:
Among all shapes with the same area, a circle has the smallest/shortest perimeter.
A. A class has 16 boys and 12
girls. What is the ratio of boys to
the total number of students in
the class?
Answers
4/7 i.e. 4 : 7 is the ratio of the boys to the total number of students.
Given, A class has 16 boys and 12 girls.
So, the total number of students in the class be 16 + 12 = 28 students
We have to find the ratio of boys to the total number of students be,
number of boys/total students
= 16/28
= 8/14
= 4/7
Hence, 4/7 is the ratio of the boys to the total number of students.
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A paper cup is tossed 50 times. It lands right side up 11 times, upside down 14 times, and on its side 25 times. What percent of time did it land upside down?
Answers
Answer
28 percent
Step-by-step explanation:
divide 14/50
The formula for converting miles into feet is F = 5280m. If m = 12, evaluate this to find F, how many feet are in 12 miles. (Write the full equation, and then substitute for m.) *
Answers
Answer:
63360 feet
Step-by-step explanation:
The formula for converting miles into feet is F = 5280m. If m = 12, evaluate this to find F, how many feet are in 12 miles. (Write the full equation, and then substitute for m.) *
From the above question, we are given the expression:
F = 5280m
Where
F = Number of miles in feet
If m = 12 miles, the number of feet is calculated as:
F = 5280 × 12 miles
F = 63360 feet
Solve.
please and thank you!
Answers
Answer:
Step-by-step explanation:
2(x+3)/3 + 3(x-6)/2=1-x
2x+6/3 + 3x-18/2=1-x
2(2x+6)/3 + 3(3x-18)=6-6x
4x+12+9x-54=6-6x
13x-49=6-6x
13x+6x=6+42
19x/19=48/19
x=49/19
Use the function f(x) to answer the questions.
f(x) = −16x2 + 60x + 16
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)
Answers
Answer: Part A:
To find the x-intercepts of the graph of f(x), we need to set f(x) equal to zero and solve for x:
-16x2 + 60x + 16 = 0
Divide both sides by -4 to simplify:
4x2 - 15x - 4 = 0
We can use the quadratic formula to solve for x:
x = (-b ± sqrt(b2 - 4ac)) / 2a
Where a = 4, b = -15, and c = -4.
x = (-(-15) ± sqrt((-15)2 - 4(4)(-4))) / 2(4)
x = (15 ± sqrt(385)) / 8
Therefore, the x-intercepts are approximately 0.256 and 3.194.
Part B:
The coefficient of the x2 term in f(x) is -16, which is negative. This means that the graph of f(x) opens downward, so the vertex is a maximum.
The x-coordinate of the vertex can be found using the formula:
x = -b / 2a
Where a = -16 and b = 60.
x = -60 / 2(-16) = 1.875
To find the y-coordinate of the vertex, we can plug in this value of x into the equation for f(x):
f(1.875) = -16(1.875)2 + 60(1.875) + 16 = 80.25
Therefore, the coordinates of the vertex are (1.875, 80.25).
Part C:
To graph f(x), we can use the information we obtained in Part A and Part B. We know that the x-intercepts are approximately 0.256 and 3.194, and the vertex is at (1.875, 80.25).
We can also find the y-intercept by plugging in x = 0:
f(0) = -16(0)2 + 60(0) + 16 = 16
Therefore, the y-intercept is (0, 16).
Using all of this information, we can sketch the graph of f(x) as a downward-opening parabola with x-intercepts at approximately 0.256 and 3.194, a vertex at (1.875, 80.25), and a y-intercept at (0, 16).
Step-by-step explanation:
Consider the following scenario describing the residents of Charlestown: The list pairs resident's ages with their zip codes.
Does this scenario represent a function?
No, because people who are the same age can have different zip codes
No, because people who have the same zip code can be different ages
Yes, because people who are the same age can have different zip codes
Yes, because people who have the same zip code can be different ages
Answers
Answer:
No, because people who are the same age can have different zip codes!!
I took a test with this question and got it correct!!
Step-by-step explanation:
Do the data in the table represent a direct variation or inverse variation? Write an equation to model the data in the table?
x 2 4 8 12
y 4 2 1 2/3
Answers
Based on the given data; the table represent an inverse variation and the equation that model the data in the table is y = 8/x
VariationDirect variationy = k × x
4 = k × 2
4 = 2k
k = 4/2
k = 2
when y = 2 and x = 4
y = k × x
= 2 × 4
y = 8
Indirect variationy = k/x
4 = k / 2
8 = k
when y = 2 and x = 4
y = k/x
2 = k/4
2 × 4 = k
k = 8
So,
y = k/x
y = 8/x
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Explain how to solve an equation that includes a variable with a coefficient added to a constant.
Answers
The equation is 4x + 1=9, where x is the variable is satisfied for x=2.
What is Equation?In the algebra, an equation is a condition based on the variable. It can only be met if a particular value is present for the variable. As a result, the equation 2x - 5 = 13 can only be satisfied by the value of x = 9.
What does the word variable mean?An amount that can fluctuate or altered depending on the mathematical issue is referred to as a variable.
Let's use the variable "x" to construct the equation.
Here, the equation is 4x + 1=9, where x is the variable.
Solving the equation:Step1: writing the equation
4x + 1 = 9
Step2: taking 1 to the right side
4x = 9-1
Step3: divide 8 by 4, we get
x =\(\frac{8}{4}\)
x = 2
In the above example, 4x + 1 = 9 represents the equation.
Hence, we get the value of x=2, which means that for the value of x=2 the equation will satisfied.
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(b) an experiment involving peas results in 580 offspring, 152 of which peas have yellow pods. mendel claimed that the proportion of peas with yellow pods should be 25%. we want to know if these data are consistent with mendel's hypothesis. which statistical inference procedures should we use?
Answers
As per Mental hypothesis, the statistical inference procedures that we should use Chi-square test for goodness of fit.
Hypothesis
In probability, an idea or explanation that you then test through study and experimentation is known as hypothesis.
Given,
Here we have given that, an experiment involving peas results in 580 offspring, 152 of which peas have yellow pods. Mendel claimed that the proportion of peas with yellow pods should be 25%. we want to know if these data are consistent with Mendel's hypothesis.
And we need to find in which statistical inference procedures should we use.
According to the definition of Chi-square test for goodness of fit, the claim is that the proportion of peas with yellow pods should be 25%. And then here the researcher wants to check that the experimental and observed counts of yellow offspring peas shows significant difference or not.
So, the statistical procedure used to study this case is Chi-square test for goodness of fit . Hence, option (1) is correct.
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