Answer:
1
Step-by-step explanation:
Answer:
tendrías 1 manzana
Step-by-step explanation:
This means you have one apple left
Problem 37
Kaimi had no money at all when he cashed his paycheck. As he left the bank, he bought a piece of candy for
a nickel from a machine. Later, he realized that the money in his pocket was equal to twice his paycheck.
After a quick calculation, he figured out what happened: the teller accidentally switched the dollars and
cents. How much was Kaimi supposed to be paid, and what did the teller give him? Justify your answer.
X = 31, Y = 63 satisfy the case of 0 ≤ Y < 100 as an expression.
What are algebraic expression?An algebraic expression in mathematics is an expression that consists of variables and constants and algebraic operations (addition, subtraction, etc.). Expressions are made up of concepts.
Assume Kaimi was supposed to be paid X dollars Y cents (0 ≤ Y ≤ 100)
But the teller gave him Y dollars X cents.
Thus kaimi has 100Y + X cents.
A nickel is worth 5 cents.
Hence, after buying the piece of candy for a nickel, Kaimi would be left with 100Y + X - 5 cents.
This is twice his paycheck:
⇒ 100Y + X - 5 = 2(100X + Y)
⇒ 100Y + X - 5 = 200X + 2Y
⇒ 98Y - 199X = 5
199 = 98 × 2 + 3 ⇒ 3 = 199 - 98 × 2
98 = 3 × 32 + 2 ⇒ 2 = 98 - 3 × 32
3 = 2 × 1 + 1 ⇒ 1 = 3 - 2 × 1
2 = 1 × 2 + 0 ⇒ ged(199, 98) = 1
1 = 3 - 2 × 1
= 3 - (98 - 3 × 32) × 1 [∵ 2 = 98 - 3 × 32]
= 3 - 98 × 1 + 3 × 32
= 3 × 33 - 98 × 1
= (199 - 98 × 2) × 33 - 98 × 1 [∵ 3 = 199 - 98 × 2]
= 199 × 33 - 98 × 67
⇒ 1 = 199 × 33 - 98 × 67
⇒ 5(1) = 5 (199 × 33 - 98 × 67)
⇒ 5 = 199(165) - 98(335) [∵ 5 ×33 = 165, 5 × 67 = 335]
⇒ 199(165) - 98(335) = 5
⇒ 98(-335) - 199(-165) = 5
Hence, (X,Y) = (-165, -335) is a solution to 98Y - 199X = 5
But it is required that 0 ≤ Y < 100
Now since it is the difference of two quantities, 98Y and 199X, that is a constant, 5, either both of these quantities will increase simultaneously or both will decrease simultaneously.
Hence, either both X, Y will increase or both, X, Y will decrease.
To bring Y = -335 in the range of 0 ≤ Y < 100, it needs to be increased.
Hence, both X, Y will increase.
X will increase by the absolute value of the coefficient of Y and vice-versa. Hence, X will increase by 98 and Y will increased by 199 to give
(X, Y) = (-165 + 98, -335 +199) = (-67, -136)
Still, it is not the case that 0 ≤ Y < 100
Hence, again X will increase by 98 and Y will increase by 199 to give
(X, Y) = (-67 +98, -136 +199) = (31, 63)
Now, it is the case that 0 ≤ Y = 63 < 100
∴ X = 31, Y = 63
Note that the increasing X again by 98 and Y by 199 will violate
0 ≤ Y < 100. Hence, this is the unique solution.
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What is the length of b in the triangle?
Answer:
8 in
Step-by-step explanation:
\(b=\sqrt{10^2-6^2}=\sqrt{100-36}=\sqrt{64} = 8\)
4) Amy traveled to the recycling plan
back. It took one hour less time to get
there than it did to get back. The average
speed on the trip there was 50 km/h. The
average speed on the way back was 40
km/h. How many hours did the trip there
take?
The time taken by Amy to travel to the place was t = 4 hours.
What is average speed?A measure of average speed is the amount of distance travelled in a given amount of time. It is determined by dividing the overall mileage by the overall time required to cover that mileage.
In physics and other sciences, average speed is frequently employed to describe how objects move. For instance, it is possible to estimate how long it will take to go a certain distance or assess a car's fuel economy by looking at its average speed over a given distance. By dividing the whole distance travelled by the total time required, average speed may also be used to characterise the speed of an object that is moving at various speeds at different points along its path.
Let the time taken to get back = t + 1.
Now, it took one hour less time to get there thus time = t.
Now, average speed is given as:
average speed = total distance / total time
Substituting the values:
50 km/h = d / t
d = 50t .........(1)
40 km/h = d / (t + 1)
d = 40(t + 1)......(2)
Setting the value of d as equal we have:
50t = 40(t + 1)
50t = 40t + 40
10t = 40
t = 4
Hence, the time taken by Amy to travel to the place was t = 4 hours.
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WHAT IS 1% OF 75??? !!!!!
HELPPPP!!!!
Answer:
the answer is 0.75
Step-by-step explanation:
you divide by 100
Answer: 0.75
Just divide 75 by 100. Hope this helps
Please help ☹️☹️☹️☹️☹️☹️☹️☹️☹️
What value of n makes the equation true
1
2
10
30
Answer:
the equation is (2x^9y^n)(4x^2y^10)=8x^11y^20
Step-by-step explanation:
,
244-33456/3456*345+13.55-2=
The order of operations (PEMDAS) states that we should perform multiplication and division before addition and subtraction. Using this order, we get:
244 - (33456 / 3456) * 345 + 13.55 - 2
= 244 - 97.02 * 345 + 13.55 - 2
= 244 - 33494.1 + 13.55 - 2
= -33238.55
Therefore, 244-33456/3456*345+13.55-2 = -33238.55.
Using the present value approach, solve the following:
Tom has $100 in a bank account that pays a guaranteed 5% interest rate each year. How much would Tom have at the end of Year 3?
Answer:
Step-by-step explanation:
$100x0.5x1=$5
The graph of a linear relationship contains the points (1,10) and (3,16) write the equation of the line in slope
Answer:
Step-by-step explanation:
The equation of the line with the given points is y = 6x - 4. This can be derived by calculating the slope of the line, which is 6, and then using the point-slope form of the equation of a line, y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. In this case, the given points are (x1, y1) = (1, 10), so the equation of the line is y - 10 = 6(x - 1) or y = 6x - 4.
Answer y == 3
+7
Step-by-step explanation:
The graph of a linear relationship contains the points (1, 10) and (3, 16).
Write the equation of the line in slope-intercept fo
Step-by-step explanation:
the general slope-intercept form is
y = ax + b
a is the slope, which is the ratio of "y coordinate change / x coordinate change" when going from one point to another on the line.
b is the y-intercept - the y value when x = 0.
for the slope we see
x changes by +2 (from 1 to 3)
y changes by +6 (from 10 to 16)
so, the slope a is +6/+2 = 3
and the semi-ready equation is
y = 3x + b.
now we use one of the points in the equation to solve for b. I picked (1, 10) :
10 = 3×1 + b = 3 + b
b = 7
so, the full equation is
y = 3x + 7
Which function represents the reflection over the x-axis of f(x)=√x?
8
814
4
-4
do &
4
8
8
4
814
4
do £
O
1100
4 8
x
0
-1
-2
-4
y
0
-1
-1.41
-2
x
0
1
2
4
y
0
-1
-1.41
-2
Answer: 32 and 43
Step-by-step explanation:
the manager of a bank record of the amount of each Time customer spent waiting in the line during peak business hours on Monday the waiting times are shown below find the mean waiting time Roger answer to one Decimal place 6.8 min 7.5 min 7.2 min brainly
Answer:
To find the mean waiting time, you need to add up all the waiting times and divide by the number of customers. In this case, the total waiting time is 6.8 + 7.5 + 7.2 = 21.5 minutes. Since there are 3 customers, the mean waiting time is 21.5 / 3 = 7.17 minutes. Rounded to one decimal place, the mean waiting time is 7.2 minutes.
Step-by-step explanation:
I need to figure out the area of the remaining part
Answer:
The answer is 28
Step-by-step explanation:
Please mark brainliest
is square root of three a transcendental number
Answer:
no its an irrational number
Step-by-step explanation:
hope it helps im not 100%
The graph of y=-3x + 4 is:
A. a point that shows one solution to the equation.
B. a point that shows the y-intercept.
c. a line that shows only one solution to the equation.
D. a line that shows the set of all solutions to the equation.
SUBM
Answer:
D
Step-by-step explanation:
An equation with both x and y in it will draw a graph, in this case a line. A line is an infinite number of points, and each point is a solution, so it is a set of all solutions.
HELP PLEASE whats the number for this answer?
ASAP
Answer:
68°
Step-by-step explanation:
Total angle in a quadrant = 90°
x + 22° = 90°
x = 90 - 22
x = 68°
1) Matching.
The United States won 104 gold (g), silver s, and bronze (b) medals in the 2012 Summer Olympics.
____________a. Select the linear equation in standard form for three unknowns:
____________b. The United States won 46 gold medals and the same number each of silver and bronze medals. Select the relationship between the number of silver to bronze medals in an equation of two unknowns.
_____________c. With the information given in b, solve the linear equation in a for the number of gold, silver, and bronze medals won.
a. =g + s + b=104
b. =g=29, s=46, b=29
c. =g=b
d. =s=b
e =-g=46, s=29, b=29
f. =g + s + b=100
The linear equation in standard form is g + s + b=104, the relationship between silver to bronze medals is g = s and the solution is g=46, s=29, b=29
How to select the linear equation in standard form for three unknowns?
(a) Since the United States won 104 gold (g), silver s, and bronze (b) medals in the 2012 Summer Olympics.
This means the sum of gold (g), silver s, and bronze (b) medals is equal to 104. Thus, the linear equation in standard form is:
g + s + b = 104
(b) Since the United States won 46 gold medals and the same number each of silver and bronze medals. This implies:
g = 46
s = b
Thus, the relationship between the number of silver to bronze medals is s = b
(c) To solve the linear equation, substitute g = 46 and s = b into the equation g + s + b = 104:
g + s + b = 104
46 + b + b = 104
46 + 2b = 104
2b = 104 -46
2b = 58
b = 58/2
b = 29
Also, s = 29 (Remember: s = b)
Thus, g = 46, s =29, b = 29
Therefore, the United States won 46 gold (g), 29 silver (s), and 29 bronze (b) medals in the 2012 Summer Olympics. Select options a., d. and e. for a., b., and c. respectively
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What value equivalents to 5 7/8
a square has an perimeter of 56 ft what is the length of each side?
Answer:
14ft
Step-by-step explanation:
Perimeter of a square = 4s where s = side length
Here, we are given the perimeter, and we want to find the side length. To do so we plug in the perimeter and solve for s
Perimeter = 56
So 56 = 4s
==> divide both sides by 4
14 = s
A square with a perimeter of 56 feet has a side length of 14 feet
The relationship between adult dog weight X in pounds and the daily recommended amount of dog food Y in cups is proportional.
Write an equation for the relationship. How much dog food is recommended for a 25 pound adult dog?
please help me
no links or files
thank you !
The 5/12 cups of dog food are recommended for a 25-pound adult dog
Step-by-step explanation:
Given:
The relationship between the weight of the adult dog (X) and the amount of dog food in cups (Y) is proportional.
To find:
Dog food for the 25-pound adult dog
Solution:
The weight of the adult dog (X) is proportional to the amount of dog food in cups are proportional.
\(X\propto Y\\\text{The equation for the relationship will be given as :}\\X=kY\\k=\frac{X}{Y}= Constant\)
From the table given, we can calculate the value of the constant k.
\(k=\frac{10}{\frac{1}{6}}=\frac{40}{\frac{2}{3}}=\frac{50}{\frac{5}{6}}=\frac{100}{1\frac{2}{3}}\\k=\frac{10}{\frac{1}{6}}=\frac{40}{\frac{2}{3}}=\frac{50}{\frac{5}{6}}=\frac{100}{\frac{5}{3}}\\k=\frac{60}{1}=\frac{40\times 3}{2}=\frac{50\times 6}{50}=\frac{100\times 3}{5}\\k=60\)
Let the dog food recommended for the 25-pound adult dog be y.
Weight of the dog = x = 25 pounds
Cups of dog food recommended = y
k = 60
Using the equation for the given relationship:
\(25=60\times y\\y=\frac{25}{60}=\frac{5}{12}\)
The 5/12 cups of dog food are recommended for a 25-pound adult dog.
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-3× + 33= -12 ×= whats the answerr
Answer:
15
Step-by-step explanation:
the answer is x=15
-3x+33=-12
-3x=-12-33
-3x=-45
x=-45/-3
x=15
what is the volume of the cylinder below height 15 radius 11
Answer:
πr^2 h
π(11)^2 (15)
= 1815π or = 5701
Evaluate 12a for a = 4.
A. 8
B. 16
C. 48
D. 3
What is the value of f(x) = -x2 + 3 when x = 1? -2 -1 2 4
Answer:
f(x) = g(x)
3(2) - 4 = (2)² - 2
6 - 4 = 4 - 2
2 = 2
Step-by-step explanation:
I just substituted all the values in the domain to see which one would work. That's not really the quickest way but that's the only way I know
the answer is 4
Step-by-step explanation:
1²+ 3
1+3=4.
What is the volume in cubic centimeters of the figure below?
Answer:
so that you will multiply 15 * 4.
Step-by-step explanation:
15*4 = 60 now you divide 60 by 4 and the answer will be 15.
(Reflections and projections) (a) Let T : R 3 → R 3 be the transformation from the conceptual problems for Chapter 4: T(x) = 1 3 −1 −2 2 −2 2 1 2 1 2 x. Determine the eigenvalues of T, and find a basis for each eigenspace. (b) Remember that T is supposed to be ‘reflection across a plane S’. Explain what the eigenvalues and eigenvectors from (a) mean geometrically. What is their relationship to S? Why does it make sense for the eigenvalues to be 1 and −1?
Answer:
Step-by-step explanation:
From the given information:
\(T(\bar X) = \dfrac{1}{3}\left[\begin{array}{ccc}-1&-2&2\\-2&2&1\\2&1&2\end{array}\right]\)
For eigenvalues:
\(T(\bar X) = \left[\begin{array}{ccc}-1-\lambda &-2&2\\-2&2- \lambda &1\\2&1&2- \lambda \end{array}\right]=0\)
\(\lambda^3 + 3 \lambda^2 + 9\lambda-27=0 \\ \\ -(\lambda+3)(\lambda-3)(\lambda-3) =0 \\ \\ \lambda = -3,3,3\)
Let not forget that from the question; we are given \(\dfrac{1}{3}A\) ; as such eigenvalues will be:
-1,1,1 since \(\dfrac{1}{3} (-3,3,3) = -1,1,1\)
eigenvector for λ = -1
FInd \(|A - \lambda I |\)
\(=|A+I| =\left[\begin{array}{ccc}\ \dfrac{2}{3}&-\dfrac{2}{3}&\dfrac{2}{3}\\ - \dfrac{2}{3}&\dfrac{5}{3}&\dfrac{1}{3}\\\dfrac{2}{3}&\dfrac{1}{3}&\dfrac{5}{3}\end{array}\right] \left[\begin{array}{c}x_1\\x_2\\x_3\end{array}\right] = \left[\begin{array}{c}0\\0\\0\end{array}\right]\)
we have :
\(x_1 +2x_3 =0 \\ \\ x_2+x_3 = 0\)
Thus;
\(x_1 = -2x_3 \\ \\ x_2= -x_3\)
eigenvector for λ = -1 ⇒\(\left[\begin{array}{c}x_1\\x_2\\x_3\end{array}\right] = \left[\begin{array}{c}-2x_3\\-x_3\\+x_3\end{array}\right]\)\(=\left[\begin{array}{ccc}-2\\1\\1\end{array}\right] \ \ \ \ for \ x_3 = 1\)
For λ = 1
\(|A - \lambda I |= |A-I|= \left[\begin{array}{ccc}\ - \dfrac{1}{3}&-\dfrac{2}{3}&\dfrac{2}{3}\\ - \dfrac{2}{3}& - \dfrac{1}{3}&\dfrac{1}{3}\\\dfrac{2}{3}&\dfrac{1}{3}&- \dfrac{1}{3}\end{array}\right] \left[\begin{array}{c}x_1\\x_2\\x_3\end{array}\right] = \left[\begin{array}{c}0\\0\\0\end{array}\right]\)
\(x_1 + \dfrac{x_2}{2}- \dfrac{x_3}{3} =0\)
\(x_1 = - \dfrac{x_2}{2}+\dfrac{1}{2}x_3\)
Thus ;
\(\left[\begin{array}{c}x_1\\x_2\\x_3\end{array}\right] = \left[\begin{array}{c} - \dfrac{1}{2} \\ 1 \\0\end{array}\right]x_2 + \left[\begin{array}{c} \dfrac{1}{2} \\ 0\\1\end{array}\right]x_3\)
As such; \(\left[\begin{array}{c} - \dfrac{1}{2} \\ 1 \\0\end{array}\right] \ and \ \left[\begin{array}{c} \dfrac{1}{2} \\ 0\\1\end{array}\right] \ forms \ the \ basis \ of \ eigenpace\)
Given that T is the reflection
Thus for \(T*T = I \ i.e \ T^2 = I\)
we must have: \(\lambda^2 = 1 \to \lambda = \pm 1\)
We can now conclude that the reflection pressures length and any other eigenvalue would mean reflection is stretching or shrinking a vector.
A local talk radio station conducts a poll to determine if its listeners favor or oppose the president's proposed
actions on judicial appointments. To express their opinions, listeners are asked to call, email, or text message
the radio station. The poll results in 89.38 percent of the responders opposing the proposed judicial
appointments
In this situation, 89.38 percent is: likely to what?
Could i get help on this pla
Using the formula for the area of a rectangle, the area of the cellphone is 18x⁻¹y⁸ OR 18y⁸/x
Calculating the area of the cellphoneFrom the question, we are to calculate the area of the cellphone shown in the diagram
From the given information,
We have a diagram that shows a cellphone which is rectangular in shape.
Thus,
We will use the formula for finding the area of a rectangle to calculate the area of the cellphone.
Area of a rectangle = Length * Width
From the given information,
Length of the cellphone = 6x²y⁶
Width of the cellphone = 3x⁻³y²
Thus,
Area of the cellphone = 6x²y⁶ × 3x⁻³y²
Area of the cellphone = 6 × 3 × x² × x⁻³ × y⁶ × y²
Area of the cellphone = 18 × x⁻¹ × y⁸
Area of the cellphone = 18x⁻¹y⁸ OR 18y⁸/x
Hence,
The area of the cellphone is 18x⁻¹y⁸ OR 18y⁸/x
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Question 4 O Mark this question Megan was conducting a study to determine if there was a relationship between eating a whole foods diet and general overall health. For her study Megan's null hypothesis was that a whole foods diet would not have any impact on general health. Megan's alternate hypothesis was that eating a whole foods diet would cause improvements in health. If Megan completed her study, which of the following statements would indicate a Type I error? Megan's results show that a whole foods
Type I error is "Megan's results show significant improvements in health associated with a whole foods diet."
A Type I error occurs when the null hypothesis is rejected, even though it is true.
In this case, the null hypothesis states that a whole foods diet would not have any impact on general health.
Therefore, a Type I error would occur if Megan's results show significant improvements in health associated with a whole foods diet.
This means that Megan would reject the null hypothesis and conclude that a whole foods diet does have an impact on general health, even though it is not true.
So, the statement that would indicate a Type I error is "Megan's results show significant improvements in health associated with a whole foods diet."
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Steve invests $2,807 in a 401k account with a fixed annual interest rate that is compounded continuously. After 13 years, the account balance reaches $9,044.13. What is the interest rate of the account?
The interest rate of the account that Steve invested in after the given number of years would be = 16%
How to calculate the interest rate of the given account?The total amount of money invested (p) = $2,807
The time of investment= 13 years
The interest generated at the end of the given years = 9,044.13-2807 = $6,237.13
Therefore the rate = ?
The formula for simple interest:
= P×T×R/100
6,237.13= 2,807× 14 ×r/100
Make r the subject of formula;
r= 6,237.14×100/2807×14
r = 623714/39298
r= 15.87139294
r= 16%
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A number cube numbered 1-6 is rolled 30 times and lands on an even number 18 times.
How does this frequency compare to the expected frequency based on the probability of
the number cube landing on an even number?
The frequency is 15 more than expected.
The frequency is 13 more than expected.
The frequency is 9 more than expected.
The frequency is 3 more than expected.
Done →
Given statement solution is :- The correct answer is: The frequency is 3 more than expected.
To determine the expected frequency of landing on an even number when rolling a fair six-sided number cube, we need to calculate the probability of landing on an even number and multiply it by the total number of rolls.
The number cube has six possible outcomes: 1, 2, 3, 4, 5, and 6. Of these, three are even numbers: 2, 4, and 6. Therefore, the probability of rolling an even number is 3/6, which simplifies to 1/2 or 0.5.
The expected frequency can be found by multiplying the probability by the total number of rolls:
Expected frequency = Probability of landing on an even number × Total number of rolls
Expected frequency = 0.5 × 30 = 15
Now, we can compare the expected frequency (15) to the actual frequency (18) given in the problem statement.
The actual frequency is 18, and it is 3 more than the expected frequency (18 - 15 = 3).
Therefore, the correct answer is: The frequency is 3 more than expected.
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