Answer:
Step-by-step explanation:
Let's start by assigning variables to represent the unknowns in the problem. We can use "n" to represent the number of nickels and "d" to represent the number of dimes.
From the problem statement, we know that the total value of the coins in the purse is $0.70. We can write an equation to represent this information:
0.05n + 0.10d = 0.70
We also know that the number of nickels is two less than six times the number of dimes. We can write an equation to represent this information:
n = 6d - 2
Now we can substitute the expression for "n" into the first equation:
0.05(6d - 2) + 0.10d = 0.70
Simplifying the left side of the equation, we get:
0.30d - 0.10 + 0.10d = 0.70
Combining like terms, we get:
0.40d = 0.80
Dividing both sides by 0.40, we get:
d = 2
So there are 2 dimes in the coin purse. Now we can use the second equation to find the number of nickels:
n = 6d - 2 = 6(2) - 2 = 10
So there are 10 nickels in the coin purse.
Therefore, Sheri has 10 nickels and 2 dimes in the coin purse for her daughter.
Please help! I will give brainliest to the correct answer!
Answer:
Use desmos graphing calculator. Thats basically the answer to everything that involves graphing. gimme brainliest >:D
Step-by-step explanation:
9514 1404 393
Answer:
see attached
Step-by-step explanation:
You can identify the lines by the sign of the slope and the value of the y-intercept. Each point of interest is at the intersection of a line with positive slope and a line with negative slope. So, you can identify the pair of lines by their two different y-intercepts.
Clockwise from lower left (3rd quadrant), the pairs of y-intercepts associated with the intersection of interest are ...
2, -1 . . . . 2 is associated with positive slope2, 22, -1 . . . . 2 is associated with negative slope2, -3-1, -3If the answer choices are designated A–E, left to right, the corresponding list is (again, clockwise from lower left) ...
DCBAEHelp Please!!! Brainliest to any correct answer!!!
A task force to encourage car pooling did a study of one-way commuting distances (in miles) of workers in the downtown Dallas area. A random sample of 60 of these workers was taken. The commuting distances of the workers in the sample are given in the following grouped frequency distribution: Class limit (distance in miles) Frequency 1 - 10 18 11 - 20 24 21 - 30 10 31 - 40 4 41 - 50 4 For this grouped frequency distribution, the modal class is A. 11 - 20 B. 21 - 30 C. 1 - 10 D. 41 - 50
Answer:
The modal class is 1 - 10
Step-by-step explanation:
Given
See attachment for frequency distribution table
Required
Determine the modal class
To determine the modal class, we simply look for the class with the highest frequency.
In the given frequency distribution table, class 1 - 10 has the highest frequency of 21.
Hence, the modal class is 1 - 10
Which type of transformation is described by (x, y) (x+2, y+3)
Determine the intercepts of the line
X-intercept: (__ , __)
Y-intercept: (__, __)
Answer:
3,0
0, -10
Step-by-step explanation:
does anyone know???!
Answer:
#8 might be y= -3x + 5
Step-by-step explanation:
This may help
A person invests 6500 dollars in a bank. The bank pays 6.5% interest compounded annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 22600 dollars?
Answers to the question
Answer:
2=53 employees(m)
4=91 employees(m)
6=129 employees(m)
8=167 employees(m)
Step-by-step explanation:
19x2=38+15= 53
19x4=76+15= 91
19x6=114+15=129
19x8=152+15=167
Simplify 3 + 5(x - 4)
Answer:
5x - 17
Step-by-step explanation:
3 + 5x - 20
= 5x - 17
Solve for N. 5/3 = N/12
Answer:
N = 20
Step-by-step explanation:
5/3 = 1 2/3
20/12 = 1 8/20
They are equivalent
Which three test points could be used to draw the graph of the solutions to
x² + 4x-3>0
(2,2),(3,1),(5,2)
---
hope it helps
twice the sum of a number and six is sixty
Answer:26
Step-by-step explanation:60 minus 6, equals 52. you need to do 60-6 to get the twice the sum of a number. divide 52 by 2, since its twice the sum of a number. 52 divided by 2 is 26. you can check your answer by doing 26 times 2 plus 6, and get 60.
An urn initially contains a single red ball and a single green ball. A ball is drawn at random, removed, and replaced by a ball of the opposite color, and this process repeats so that there are always exactly two balls in the urn. Let Xn be the number of red balls in the urn after n draws, with X0 = 1. Specify the transition probabilities for the Markov chain {Xn}.
The state space for the Markov chain {Xn} is {0, 1, 2}. At any time, Xn can only be 0, 1, or 2, depending on how many red balls are in the urn.
The transition probabilities for the Markov chain are as follows:
If Xn = 0, the next state Xn+1 can only be 1, with a probability of 1.0.
If Xn = 1, the next state Xn+1 can either be 0 or 2, with a probability of 0.5 each.
If Xn = 2, the next state Xn+1 can only be 1, with a probability of 1.0.
So, the transition probabilities can be represented in a transition matrix as follows:
P = [ [0, 1, 0],
[0.5, 0, 0.5],
[0, 1, 0]
]
This transition matrix represents the probabilities that the Markov chain will transition from one state to another in one step.
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Find the volume of the region bounded above by the paraboloid z= x2 + y2 and below by the square R: -1 < x < 1, -1 < y < 1
The volume of the region bounded above by the paraboloid z = \(x^2 + y^2\)and below by the square R: -1 < x < 1, -1 < y < 1 is 4/3 cubic units.
To find the volume of the region bounded above by the paraboloid z = \(x^2 + y^2\) and below by the square R: -1 < x < 1, -1 < y < 1, we need to integrate the function z = x^2 + y^2 over the given region.
The volume can be calculated using a double integral over the region R. The integral can be set up as follows:
V = ∬R \((x^2 + y^2) dA\)
Here, dA represents the infinitesimal area element on the xy-plane.
To evaluate the integral, we need to perform the double integration over the given limits. The limits of integration for x are -1 to 1, and the limits for y are also -1 to 1.
V = ∫(-1 to 1) ∫(-1 to 1) \((x^2 + y^2) dy dx\)
Integrating with respect to y first:
V = ∫(-1 to 1) \([(x^2)y + (y^3)/3]\)evaluated from -1 to 1 dx
V = ∫(-1 to 1) \([(x^2 + 1/3) - (x^2 - 1/3)] dx\)
V = ∫(-1 to 1) (2/3) dxV = (2/3) [x] evaluated from -1 to 1
V = (2/3) [(1) - (-1)]
V = (2/3) * 2
V = 4/3
Therefore, the volume of the region bounded above by the paraboloid z = x^2 + y^2 and below by the square R: -1 < x < 1, -1 < y < 1 is 4/3 cubic units.
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Please HELP!!!
Will give 15 points!!
For a test that’s due today!!
Answer:
A
Step-by-step explanation:
For a right triangle
\(A=\frac{ab}{2} \\\frac{(10.4)(15.3)}{2} =79.56\)
This is the same as the other triangle because they are the same size because of congruency
Area of the rectangle
\(a^2+b^2=c^2\\\)
\(\sqrt{(10.4^2+15.3^2} =c\)
\(c= 18.5\)
18.5 x 7 = 129.5
Add them all up
129.5+79.56+79.56= 288.62
Please help with math ..............
Answer: D) (-19,-13), see attached picture
Step-by-step explanation:
Find the value of each variable. (x and y)
Answer: x=3\(\sqrt{2\). y=3\(\sqrt{2\)
Step-by-step explanation: This is a 45-45-90 triangle. Both of the legs, x and y, are congruent. To find the length of the legs, divide 6, the hypotenuse, by \(\sqrt{2\). 6/\(\sqrt{2\)=3\(\sqrt{2\).
3. Show that 5424 9813 2720 0085 is an invalid MASTERCARD credit card number.
Answer:
Step-by-step explanation:
To check whether the given credit card number is valid or not, we need to apply the Luhn algorithm or the mod-10 algorithm. The Luhn algorithm works by adding up all the digits in the credit card number and checking if the sum is divisible by 10 or not. If it is, then the credit card number is considered valid, otherwise, it is invalid.
Let's apply the Luhn algorithm to the given credit card number:
Step 1: Starting from the rightmost digit, double every second digit
| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| | 8 | | 8 | | 16| | 6 | | 14| | 0 | | 0 | | 10|
Step 2: If the doubled value is greater than 9, add the digits of the result
| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| | 8 | | 8 | | 7 | | 6 | | 5 | | 0 | | 0 | | 1 |
Step 3: Add up all the digits in the credit card number, including the check digit
5 + 4 + 2 + 4 + 9 + 8 + 1 + 3 + 2 + 7 + 2 + 0 + 0 + 0 + 8 + 5 + 1 = 61
Step 4: If the sum is divisible by 10, then the credit card number is valid, otherwise, it is invalid.
61 is not divisible by 10, therefore the given credit card number is invalid.
Hence, it can be concluded that 5424 9813 2720 0085 is an invalid MASTERCARD credit card number.
Algebra transformation
f(x) =
f(x) =
f(x) =
f(x) =
Algebra transformation
for Graph1 f(x)=f(x)+4
for Graph2 f(x)=-f(x-4)
for Graph3 f(x)=f(x-7)
for Graph4 f(x)=f(x-2)-5
Define reflection of graphIn mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.
Graph1
Transform the graph by +4 units in y direction.
f(x)=f(x)+4
Graph2
Transform the graph by +4 units in x direction.
f(x)=f(x-4)
Now take the reflection of graph about x axis
f(x)=-f(x-4)
Graph3
Transform the graph by +7 units in x direction.
f(x)=f(x-7)
Graph5
Transform the graph by -5 units in y direction.
f(x)=f(x)-5
Now Transform the graph by -2 units in x direction.
f(x)=f(x-2)-5
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Factor the expression -8x 2+ 22x - 15
how do I understand implicit function
Answer: An implicit function is a function, written in terms of both dependent and independent variables, like y-3x2+2x+5 = 0. Whereas an explicit function is a function which is represented in terms of an independent variable.
Step-by-step explanation: To find the implicit derivative,
Differentiate both sides of f(x, y) = 0 with respect to x.
Apply usual derivative formulas to differentiate the x terms.
Apply usual derivative formulas to differentiate the y terms along with multiplying the derivative by dy/dx.
Solve the resultant equation for dy/dx (by isolating dy/dx).
If you are not knowledgeable in college algebra please let me know so I can move on more quickly. Thanks in advance!
Given polynomial is
\(3x^5-4x^4-5x^3-8x+25\)We have to check whether the polynomial x-2 is a factor.
If x-2 is a factor then x = 2 is a root of the given polynomial.
Substitute x = 2 in the given polynomial,
\(\begin{gathered} 3.2^5-4.2^4-5.2^3-8.2+25=96^{}-64-40-16+25 \\ =121-120=1 \end{gathered}\)Hence 2 is not a root of given polynomial.
And so x - 2 is not a factor.
What property does the following expression demonstrate? 9(3x) = (9x3)x
Answer: x=0,\root(3)(3)
Step-by-step explanation: Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Brainliest or a thank you please? :))
9514 1404 393
Answer:
associative property of multiplication
Step-by-step explanation:
We assume your equation is ...
9(3x) = (9·3)x
The parentheses have moved to a different portion of the product. This is allowed by the associative property of multiplication. It lets you associate parts of the product any way you like.
_____
Additional comment
It is not a good idea to use "x" to indicate multiplication in an expression in which "x" is a variable. There are many other ways to indicate multiplication, including using the "times" symbol (×).
Goran needs to buy plastic forks. Brand A has a box of 12 forks for $1.12. Brand B has a box of 25 forks for $2.69.
Find the unit price for each brand. Then state which brand is the better buy based on the unit price.
Round your answers to the nearest cent.
A person is waiting to hear a certain song on the radio to try to win a contest for concert tickets. The radio station
manager promises that they will play the song randomly once sometime between 5:00pm and 10:00pm. The person had
to work and do some chores and was only able to listen to the radio from 6:00pm to 7:30pm. What is the probability
that the person heard the song during the time they listened?
a) 36%
b) 32%
c) 30%
d) 26%
Answer:
30%
Step-by-step explanation:
What are the points of the image of the line in Q4 after the dilation?
Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)
How is this so ?To rotate a point 90 degrees clockwise about a given point,we can follow these steps -
Translate the coordinates of the given point so that the center of rotation is at the origin. In this case,we subtract the coordinates of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).
Perform the rotation by swapping the x and y coordinates and changing the sign of the new x coordinate. In this case,we swap the x and y coordinates of (-5, 3) to get (3, -5).
Translate the coordinates back to their original position by adding the coordinates of the center (0,1) to the result from step 2. In this case, we add (0,1) to (3, -5) to get (3, -4).
Therefore, the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).
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Divide: 7 5/6 ÷ 2/3 need help
To divide a mixed number by a fraction, we need to convert the mixed number into an improper fraction and then multiply it by the reciprocal of the fraction.
Step 1: Convert the mixed number to an improper fraction:
7 5/6 = (6 * 7 + 5) / 6 = 47/6
Step 2: Multiply the improper fraction by the reciprocal of the fraction:
47/6 ÷ 2/3 = 47/6 * 3/2
Step 3: Simplify the fraction if possible:
47/6 * 3/2 = (47 * 3) / (6 * 2) = 141/12
Step 4: Simplify the fraction further, if necessary:
141/12 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:
141/12 = (141 ÷ 3) / (12 ÷ 3) = 47/4
Therefore, 7 5/6 ÷ 2/3 is equal to 47/4 or 11 3/4.
The length of a rectangle is thrice its breadth. Find the length and breadth if their perimeter is 120 cm.
Answer is below,
X=15
Answer=X=15
Sorry for bad quality.
Good luck !
Answer:
Length=45cm Breadth=15cm
Step-by-step explanation:
Breadth=x
Hence length=3x
Perimeter=120cm
Perimeter of rectangle= 2×(l+b)
120=2×(3x+x)
120/2=4x
4x=60
x=60/4
x=15
Hence breadth comes out to be 15cm, hence length will be 3×15=45cm
Hope this helps you. Have a nice day buddy!
Liam works at a zoo. He was looking at some data showing the masses of their
5
55 African elephants. The mean mass of the elephants was
3
,
800
kg
3,800kg3, comma, 800, start text, k, g, end text, and the median mass was
3
,
600
kg
3,600kg3, comma, 600, start text, k, g, end text. The smallest elephant, named Lola, weighed
2
,
700
kg
2,700kg2, comma, 700, start text, k, g, end text.
The effect Lola's mass decreasing has on the the mean and median
: No change in Median weightMean reduced by 180 kgHow do we calculate?Given values :
5 African elephants
The mean mass of the elephants was 3800 kg
The median mass of the elephants was 3600 kg
The smallest elephant, named Lola, weighed 2700 kg
Lola then got very sick and lost weight until her mass reached 1800 kg
2700 , A , 3600 , B , C
as Median is 3600 and lowest is 2700
now 2700 becomes 1800
1800 , A , 3600 , B , C
so Median remains the same as 3600
So we notice no change in Median
The mean mass of the elephants = 3800 kg
=> total weight = 5 x 3800 = 19000 kg
2700 kg becomes 1800 kg
total mass = 19000 - 2700 + 1800
= 181000 kg
The following can be inferred :
New Mean = 18100/5 = 3620 kg
Mean reduced by 3800 - 3620 = 180 kg
No change in Median weight
Mean reduced by 180 kg
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In 2011, 51% of cell phone owners in a country reported that their cell phone was a smartphone. The following year, the researchers wanted to test to see if the proportion of cell phone owners in that country who have a smartphone has increased over time at the a = 0.05 level. They surveyed a random sample of 934 cell phone owners in that country and found that 501 of them had a smartphone. They conducted a significance test and found the p-value to be 0.0532. Is there convincing evidence that the proportion of cell phone owners in that country who have a smartphone has increased over time?
Answer:
The calculated value Z = 1.5950 < 1.96 at 0.05 level of significance
The null hypothesis is accepted at a 0.05 level of significance
The proportion of cell phone owners in that country who have a smartphone has not increased over time
Step-by-step explanation:
Step(i):-
Given that the random sample size 'n' = 934
Given that the population proportion P = 0.51
Q= 1-P
Q = 1- 0.51 = 0.49
The sample proportion
\(p = \frac{x}{n} = \frac{501}{934} = 0.5364\)
Level of significance = 0.05
Critical value Z₀.₀₅ = 1.96
Step(ii):-
Null hypothesis: P < 0.51
Alternative Hypothesis : P > 0.51
Test statistic
\(Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }\)
\(Z = \frac{0.536-0.51}{\sqrt{\frac{0.51 x 0.49}{934} } }\)
Z = 1.5950
Final answer:-
Given that P-value 0. 0532
P-value > 0.05
Rejected Alternative Hypothesis and accepted null hypothesis
( OR)
The calculated value Z = 1.5950 < 1.96 at 0.05 level of significance
The null hypothesis is accepted at a 0.05 level of significance
The proportion of cell phone owners in that country who have a smartphone has not increased over time