The total number of coins Kiara put in each envelope are 2.
According to the given question.
Total number of coins Kiara have = 6
Total number of envelopes Kiara have = 3
Since, we have to find the number of coins Kiara put in each envelope. So, for this we will divide total number of coins by total number of envelopes.
Therefore,
The total number of coins Kiara put in each envelope
= 6/3
= 2
Hence, the total number of coins Kiara put in each envelope are 2.
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Ang wants to work out their pay for march. They say, "there are 4 weeks in march, so I will multiply £390 by 4. £390 x 4 = £1560. Does their method give the correct amount for their monthly pay?
While Ang's approach might provide a ballpark figure for their monthly pay, it is not a dependable or exact way to figure out monthly pay in general.
The method used by Ang to calculate their monthly pay for March by multiplying their weekly pay by the number of weeks in March is not entirely accurate. This method assumes that each month has exactly four weeks, which is not always the case. In reality, some months have 4 weeks and a few days, some have 5 weeks, and some have even more or fewer days.
To calculate monthly pay accurately, Ang should instead multiply their weekly pay by the number of working days in March and divide it by the total number of working days in a year. This will give the correct amount of their monthly pay for March, taking into account the number of actual working days in the month and adjusting for any holidays or non-working days.
Therefore, while Ang's method may give a rough estimate of their monthly pay, it is not a reliable or accurate method to use for calculating monthly pay in general.
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or
At the sewing store, Jenny bought a bag of mixed buttons. The bag included 30 buttons, of which 70% were large. How many large buttons did Jenny get?
Hence, according to the question given, we have Jenny got 21 large buttons.
What are ratio and proportional relationships?A ratio is a mathematical relationship between two values that are usually expressed as the quotient of one value divided by the other. In order to compare or explain the relative sizes of two or more quantities, ratios can be used.
A particular kind of ratio called a proportional relationship is one in which the ratio between the two quantities is constant. To put it another way, if you increase one amount by a specific factor, the other amount will also be multiplied by that same factor.
Jenny purchased a bag of mixed buttons containing 30 total buttons,70% were large.
We can use the following method to determine how many large buttons she received:
number of large buttons = percentage of large buttons x total number of buttons
By substituting the provided values, we get the following:
number of large buttons = 70% x 30 buttons
= 0.7 x 30 buttons
= 21 buttons
Therefore, Jenny got 21 large buttons in the bag of mixed buttons.
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The chemical equation shows iron(III) phosphate reacting with sodium sulfate.
2FePO4 + 3Na2SO4 Right arrow. Fe2(SO4)3 + 2Na3PO4
What is the theoretical yield of Fe2(SO4)3 if 20.00 g of FePO4 reacts with an excess of Na2SO4?
The theoretical yield of Fe₂(SO₄)³ if 20.00 g of FePO₄ reacts with an excess of Na₂SO₄ is 26.52g.
What is a theoretical yield?The amount of a product produced by a reaction is expressed in terms of the reaction's yield.
Given the chemical equation:
2FePO₄ + 3Na₂SO₄ → Fe₂(SO₄)₃ + 2Na₃PO₄
Theoretical molar ratios:
2 mol FePO₄ : 3 mol Na₂SO₄ : 1 mol Fe₂(SO₄)₃ : 2 mol Na₃PO₄
Convert 20.00 g of FePO₄ into a number of moles
number of moles = mass in grams / molar mass
molar mass of FePO₄ = 150.82 g/mol
Number of moles = 20.00 g / 150.82 g/mol = 0.1326 mol FePO₄
Proportionality
1 mol Fe₂(SO₄)₃ x
----------------------- = ------------------------
2 mol FePO₄ 0.1326 mol FePO₄
Solve for x:
x = (0.1326 / 2) x 1 mol Fe₂(SO₄)₃ = 0.0663 mol Fe₂(SO₄)₃
Convert 0.0663 mol Fe₂(SO₄)₃ into grams
mass in grams = number of moles x molar mass
molar mass Fe₂(SO₄)₃ = 399.88 g/mol
mass = 0.0663 mol x 399.88 g/mol = 26.51 g
Depending on the number of decimal digits used by one or other you might obtain 26.52 instead 26.51, that difference does not count.
Therefore, the theoretical yield of Fe₂(SO₄)³ is 26.52g.
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Find eight different simplified two-level gate circuits to realize
(a) F(w, x, y, z) = (x + y′ + z)(x′ + y + z)w
(b) F(a, b, c, d) = Σ m(4, 5, 8, 9, 13)
The different simplified two-level gate circuits are as follows:
F(a, b, c, d) = (a'c)(b'd) + (ac)(bd') + (ab'c') + (ab'd') + (a'b'c') + (a'b'd) + (a'bc') + (a'b'd')
(a) F(w, x, y, z) = (x + y′ + z)(x′ + y + z)w
From the expression F(w, x, y, z) = (x + y′ + z)(x′ + y + z)w, the truth table can be derived.
Then Karnaugh Maps (K-map) can be applied to make the equations smaller.
In order to make the equations smaller, there are eight different simplified two-level gate circuits that can be used.
K-Map for (a):
The K-Map above is created for the given function F(w, x, y, z). This K-Map is used to create Boolean equations using the following steps:
1. Combine 1’s wherever possible to get two terms of two variables.
2. There are eight possible combinations of two variable equations.
3. Put these two-variable equations with a common variable together to get four-variable equations.
4. Finally, use the K-Map again to create two-variable equations to use in two-level gate circuits.
The different simplified two-level gate circuits are as follows:
F(w, x, y, z) = (w'z)(xy') + (wz')(x'y) + (wz)(x + y') + (wx)(y + z') + (wx')(y' + z) + (wy)(x + z') + (wy')(x' + z) + (w'x'z)(y + z)
(b) F(a, b, c, d) = Σ m(4, 5, 8, 9, 13)
The given expression F(a, b, c, d) = Σ m(4, 5, 8, 9, 13) can be simplified by using Karnaugh Maps to make the equations smaller. There are eight different simplified two-level gate circuits that can be used for the simplified expressions. K-Map for (b):
The K-Map above is created for the given function F(a, b, c, d). This K-Map is used to create Boolean equations using the following steps:
1. Combine 1’s wherever possible to get two terms of two variables.
2. There are eight possible combinations of two variable equations.
3. Put these two-variable equations with a common variable together to get four-variable equations.
4. Finally, use the K-Map again to create two-variable equations to use in two-level gate circuits.
The different simplified two-level gate circuits are as follows:
F(a, b, c, d) = (a'c)(b'd) + (ac)(bd') + (ab'c') + (ab'd') + (a'b'c') + (a'b'd) + (a'bc') + (a'b'd')
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what is the quotient of 6 1/4 ÷ (-5/8)
Answer: -10
Step-by-step explanation:
1. Convert 6 1/4 to an improper fraction
25/4
2. Find the quotient using the keep, change, flip method
- Keep the first fraction (25/4)
- Change the division sign to a multiplication sign
- Flip the second fraction (i.e. find the reciprocal)
-5/8 -> -8/5
3. Multiply and solve by multiplying the numerators and denominators together respectively
25/4 * -8/5
25*-8 = -200
4*5 = 20
-200/20 = -10
Answer:
\(-\frac{12}{5}\)
Step-by-step explanation:
trigonometric identities
Answer:
answer B:
\(x= \dfrac{\pi}{2}\ or\ \dfrac{\pi}{6}\ or\ x=\dfrac{5\pi}{6}\)
Step-by-step explanation:
\(2cos^2 x + 3sin x=3\\\\\Longrightarrow\ 2*(1-sin^2 x)+3sin x -3=0\\\\\Longrightarrow\ 2-2sin^2 x+3 sin x -3=0\\\\\Longrightarrow\ -2sin^2 x+3 sin x -1=0\\\\\Longrightarrow\ 2sin^2 x-3 sin x +1=0\\\\\Delta=3^2-4*2*1=1\\\\sin\ x=\dfrac{3-1}{4} \ or\ sin\ x=\dfrac{3+1}{4}\\\\sin\ x=\dfrac{1}{2} \ or\ sin\ x=1\\\\\Longrightarrow\ x= \dfrac{\pi}{6}\ or\ x= \dfrac{5\pi}{6}\ or\ x=\dfrac{\pi}{2} \\\)
which inequality matches this situation : 7 is less than a number a= x ≥ 7b= x < 7c= x >7d= ≤ 7
If 7 is less than a number, x, it means that x is greater than 7. The symbol for representing greater than is >
Thus, the inequality that matches the given situation is
x >7
Option c is correct
30 pts plz help/ i spent 2000 to get brownie town up and running. we make all sort of brownies . we make all sort of brownies . some how peanuts .some have chocolate ship, and other have icing every moth I earn 200 from brownie town sales
Answer:
The equation is Y= -200 x -2000
Step-by-step explanation:
They spent 2000$ so that would be -2000 and every month they earn 200 by selling brownies, so just add -2000 every time on the chart under “Money earned” and the last number should be 600 :).
Answer:
Step-by-step explanation:
The equation is Y= -200 x -2000
Step-by-step explanation:
They spent 2000$ so that would be -2000 and every month they earn 200 by selling brownies, so just add -2000 every time on the chart under “Money earned” and the last number should be 600 :).
PLSS HELPPP!!!! I WIL GIVE BRAINLYIST
32 less than 3/7 of a number is 11/35 of that number. Find the number.
Answer:
Step-by-step explanation:
Let "a number" be x.
"3/7 of a number" means (3/7)x
"32 less" means - 32
Thus, "32 less than 3/7 of a number" means (3/7)x -32
"is 11/35 of that number" means = (11/35)x
Put these together and we get:
(3/7)x -32 = (11/35)x
(3/7)x - (11/35)x = 32 Rearrang to get the x on one side
We need to change "(3/7)x - (11/35)" so that the two terms have a common denominator.
If we multiply the first term by (5/5) [which is equal to 1], we get:
(5/5)(3/7)x or
(15/35)x
We can now write:
(15/35)x - (11/35)x = 32
(4/35)x = 32
Multiply both sides by (35/4)
(35/4)(4/35)x = (35/4)(32)
x = (35)(8)
x = 280
if s is the part of the sphere that lies above the cone in the first octant, find the following: sqrt(x^2 y^2)
√(x² y²) = √[(r² + 2x² y²)/(1 + k²)], This gives us the value of √(x² y²) for the part of the sphere that lies above the cone in the first octant.
To find the value of √(x²y²), we need to know the equation of the surface that defines the part of the sphere and the cone in the first octant.
Let's assume that the sphere has radius r and its center is at the origin. Then, the equation of the sphere is:
x² + y² + z² = r²
Since the part of the sphere that lies above the cone is in the first octant, we can limit our analysis to the region where x, y, and z are all positive.
Now, let's consider the cone. We can assume that the cone has its vertex at the origin and its axis is along the z-axis. The equation of the cone can be written as:
z = k*√(x² + y²)
where k is a constant that depends on the angle of the cone.
To find the value of s√(x² y²), we need to find the point (x,y,z) that lies on the surface that defines the part of the sphere and the cone. Since the point lies on both surfaces, it must satisfy both equations:
x² + y² + z² = r² (equation of sphere)
z = k*√(x² + y²) (equation of cone)
We can eliminate z from these equations by substituting the equation of the cone into the equation of the sphere:
x² + y² + (k*√(x² + y²))² = r²
Simplifying this equation, we get:
x² + y² + k²*(x²+ y²) = r²
Factorizing this equation, we get:
(1 + k²)* (x² + y²) = r²
Therefore,
x² y² = (x² + y²)² - 2x² y²
We can then substitute this value into the previous equation to get:
x² + y² + k²*(x² + y²) = r²
(1 + k²)* (x² + y²) = r² + 2x² y²
Taking the square root of both sides, we get:
Therefore, √(x² y²) = √[(r² + 2x² y²)/(1 + k²)], This gives us the value of √(x² y²) for the part of the sphere that lies above the cone in the first octant.
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can someone help me answer this I don’t get it. thanks if u help me :)
Answer:
y=-5/2x+3
Step-by-step explanation:
The red line is answer
which statement is true about the goverment of south carolina under its first constitution
Answer:
WHERE"S THE OPTION PUT AN OPTION
Find the area of each triangle.
1.) Show your work.
Answer:
24
Step-by-step explanation:
The base of a triangle 6
The height of the triangle 8
The face of a triangle=(6*8)/2
(6*8)/2=24
The figure below is a right rectangular prism.
X
W
४
M
N
x
Y
N
O
12
2x
T
Which expression represents the volume of the prism?
01x³
O
O
(+)
0 (x)
Answer:
1/2x^3
Step-by-step explanation:
The formula for the volume of a rectangular prism is v = b x w x h (volume is base times width times height).
Just plug the numbers (or in this case variables) into the formula:
v = x times x times 1/2x
v = 1/2 times x^3
v = 1/2x^3
Volume
LBH1/2x(x)(x)1/2(x)³Option A
Identify the roots and y-intercept of the function below. Fill in the sign table and
sketch a graph. Your graph must accurately cross all known intercepts.
f(x) = (x + 7)²(x - 1)
Identify the y-intercept of the function.
Type here to search
D
Next
The y-intercept is found by setting x=0 on graph , which gives f(0) = (0+7)²(0-1) = -49. The roots are x = -7 and x = 1.
What is graph?A graph is a visual representation of data, relationships or functions. It typically consists of an x-axis, y-axis and plotted points that represent values or data points.
What is intercept?In a graph, an intercept is the point where the graph intersects with the x-axis or y-axis. The x-intercept is where the graph crosses the x-axis, and the y-intercept is where it crosses the y-axis.
According to the given information:
The intercept is the point at which a function or graph intersects with one of the axes, either the x-axis or y-axis. In the case of the function f(x) = (x + 7)²(x - 1), the y-intercept is found by setting x = 0 and evaluating the function, which gives f(0) = (0 + 7)²(0 - 1) = -49. Therefore, the y-intercept is -49.
A graph is a visual representation of a function or relationship between variables. In this case, the graph of f(x) = (x + 7)²(x - 1) would show how the output (y-value) of the function changes as the input (x-value) changes. To sketch the graph, we can use a sign table to identify the roots of the function (where it crosses the x-axis) and the sign of the function in each interval. The roots of this function are x = -7 and x = 1 (with a double root at x = -7), and the function is positive to the left of x = -7, negative between x = -7 and x = 1, and positive to the right of x = 1. We can use this information to sketch the graph, making sure to accurately cross the x-axis at each root and passing through the y-intercept of -49.
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you are solving an equation to find the best length for a table you are designing. you have factored the equation as (x+1)(2x-3). Will the Solutions of the equation give you two different lengths to choose from?
A. Yes; each binomial factor produces one solution that is a possible length
B. No; One of the solutions is negative. You cannot use negative values for a length of a table
Answer: The answer is b
Step-by-step explanation:
Length is a non-negative quantity. The correct statement for solution of the equation representing length of the table is given by: Option B: B. No; One of the solutions is negative. You cannot use negative values for a length of a table
How to find the solution of an equation of the form p(x) = 0?The solution to this equation means values of variable x for which the function p(x) evaluates to 0.
For the given condition, we're given that:
The solution to the equation \((x + 1)(2x-3) = 0\) (the question needs to include the 0 on right or some constant at least) will give the length of the table.
Since we know that
\(A \times B \implies A = 0\: \rm or\: B = 0\) or both.
Thus, from \((x + 1)(2x-3) = 0\), we get:
\((x + 1) = 0\) or \((2x-3) = 0\)
From the first equation, we get:
\((x + 1) = 0\\x = -1\)
From the second equation, we get:
\((2x-3) = 0\\x = \dfrac{3}{2} = 1.5\)
x represents the solution of the considered equation, thus, representing length of the table, as stated in the problem. Know that length can be 0 or positive, but cannot be negative. Thus, the first solution is not valid as it gives negative value for the length of the table.
Therefore, the correct statement for solution of the equation representing length of the table is given by: Option B: B. No; One of the solutions is negative. You cannot use negative values for a length of a table
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please help quick!!!!!!!!!!
Answer:
Step-by-step explanation:
Un-shaded area = 3.14 x 2 squared = 12.56
Shaded area = (3.14 x 4 squared) - Area of un-shaded area
= 50.24 - 12.56 = 37.68
Answer:
37.68 sq cm
Step-by-step explanation:
Area = pi x r²
Area shaded = area whole circle minus area white circle
pi x 4² -pi x 2²
pi x 16 - pi x4
pi(16-4)
pi(12)
3.14 x 12 = 37.68
Is the ordered pair (3/4, 0) a solution of 3x+y>3 ? Explain.
The Given expression in the question is this 3x+y>3; the answer to this expression is (3/4,0).
So, we need to find the solution to the given expression and then compare the answers to see if they match each other. If so, the ordered pair is the solution of the given word; if not, the ordered pair is not the solution of the given expression.
In this problem, you substitute ordered pairs of x and y values into the equation.
3(3/4) + (0) > 3
9/4 + 0 > 3
9/4 > 3 No, 9/4 is not greater than 3, so the ordered pair is (3/4,0). Not the solution to the equation
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.-4(8 -c) - (3c + 7)
Answer:
c-39 is the answer
Step-by-step explanation:
multiply the numbers that are in bracket
-4(8-c)-(3c+7)
the answer will be this
-32+4c-3c-7
ARRANGE IN LIKE TERM
-32-7+4c-3c
c-39 is the answer
Hope it is helpful for you
follow me and mark me as a brainest
Please solve!! just give answetr
Answer:
4π-8
Step-by-step explanation:
area of top semicircle - area of triangle = answer
triangle is a 45 45 90 triangle, so the hypotenuse = one leg * √2 = 4 * √2
the hypotenuse (side opposite right angle) = the diameter
area of top semicircle = πr² (area of whole circle) /2
radius = diameter / 2 = 2√2
area of top semicircle = 8π /2 = 4π
area of triangle = one leg ² /2 = 4²/2 = 8
thus, final area = 4π-8
in a sample of n=23, the critical value of the correlation coefficient for a two-tailed test at alpha =.05 is
A. Plus/minus .497
B. Plus/minus .500
C. Plus/minus .524
D. Plus/minus .412
The critical value of the correlation coefficient for a two-tailed test at alpha = 0.05 with a sample size of n = 23 is approximately plus/minus 0.497.
To understand why this is the case, we need to consider the distribution of the correlation coefficient, which follows a t-distribution. In a two-tailed test, we divide the significance level (alpha) equally between the two tails of the distribution. Since alpha = 0.05, we allocate 0.025 to each tail.
With a sample size of n = 23, we need to find the critical t-value that corresponds to a cumulative probability of 0.025 in both tails. Using a t-distribution table or statistical software, we find that the critical t-value is approximately 2.069.
Since the correlation coefficient is a standardized measure, we divide the critical t-value by the square root of the degrees of freedom, which is n - 2. In this case, n - 2 = 23 - 2 = 21.
Hence, the critical value of the correlation coefficient is approximately 2.069 / √21 ≈ 0.497.
Therefore, the correct answer is A. Plus/minus 0.497.
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How do you know when you have a difference of perfect squares?
In general, a variable to any even power is a perfect square.
So for example, x² is a perfect square and so is y¹⁴.
A common made by students is not in factoring the difference of two squares, but just failing to recognise that the difference of two squares exist.
It will also help to review your perfect squares
for the numbers between 1 and 16.
Tamir buys tickets to two concerts this season. One has a face value of $32.50, and one has a face value of $26.50. He uses a coupon and gets both tickets at One-fourth off. If he pays with a $50 bill, how much change should Tamir receive?
$5.75
$7.63
$30.13
$44.25
Answer:
Its A)
Step-by-step explanation:
I took the test and got it right
Answer:
A
Step-by-step explanation:
ik i am in the future
A relation contains the points (1, 2), (2, −1), (3, 0), (4, 1), and (5, −1). Which statement accurately describes this relation?
The relation represents y as a function of x as for each value of x there is a unique value of y.
What is a function?A function y = f(x) is defined as a one to one relation between sets X and Y. The set X is called the domain while Y is called the range of f(x).
The given data is as follows,
A relation contains the points (1,2),(2,-1),(3,0),(4,1), and (5,-1).
Here x is the element of domain and y is of the range of the given relation.
Here, the values of y are distinct for different values of x.
Hence, the given relation represents y as a function of x because for each value of x there is a single value of y.
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Which of the following measures of variability is used when the statistics having the greatest stability is sought?
•Mean Deviation
•Standard Deviation
•Quartile Deviation
•Range
The measure of variability that is used when the statistic with the greatest stability is sought is the Standard Deviation.
The Standard Deviation takes into account the dispersion of data points from the mean and provides a measure of the average distance between each data point and the mean. It is widely used in statistical analysis and is considered a robust measure of variability, providing a more precise and stable measure compared to other measures such as Mean Deviation, Quartile Deviation, or Range.
The Standard Deviation is a statistical measure that quantifies the dispersion or variability of a dataset. It takes into account the differences between individual data points and the mean of the dataset. By calculating the average distance between each data point and the mean, it provides a measure of how spread out the data is.
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Find the fourth term in the sequence defined by the following recursive formula.
t1 = 5
tn = 3tn-1 - 12
1) -75
O 2 3
3) -3
4) -21
Answer
Part 1
Step-by-step explanation:
T2=3(5)-12=3
T3=-3
T4=-21
T5=-75
Rotate the given triangle 90 degrees
CLOCKWISE about the origin.
0
0
07
0
-
-3 -4
0 -3
[?]
The value is \(\left[\begin{array}{ccc}0&3&4\\0&7&-1\end{array}\right]\)
what is clockwise and counterclockwise?Clockwise Rotations (CW) mimic the path of a clock's hands.
Negative numbers are used to represent these rotations. Counterclockwise rotations (CCW) follow the path of a clock's hands in the opposite direction.
Now, rotating 90 degree clockwise we get
\(\left[\begin{array}{ccc}0&3&4\\0&7&-1\end{array}\right]\)
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During a rainstorm 2inches of rain fell in 5hours at that rate how many hours will It take for 20 inches of rain to fall
Answer:
You would get 8in of rain Hope this Helped
Step-by-step explanation:
What is the slope represented by the following table?
A. 1/2
B.−1/2
C. 2
D.-2
Answer:
The Correct Answer would be D. -2
Step-by-step explanation: