Answer:
a. The sequence x_n = n^-2 converges quadratically to zero as n approaches ∞.
b. The sequence x_n = 2^-n converges linearly to zero as n approaches ∞.
c. The sequence x_n = 2^-2n converges quadratically to zero as n approaches ∞.
d. The sequence x_n = 2^-a_n with a_0 = a_1 = 1 and a_n+1 = a_n+a_n-1 for n≥2 converges superlinearly to zero as n approaches ∞.
Step-by-step explanation:
a. The sequence {x_n} = {n^(-2)} converges quadratically to zero as n approaches ∞.
To see this, we can calculate the limit of the ratio between consecutive terms:
lim_{n -> ∞} (x_{n+1} / x_n) = lim_{n -> ∞} ((n+1)^(-2) / n^(-2)) = lim_{n -> ∞} ((n / (n+1))^2) = 1
Since the limit is equal to 1, we know that the convergence rate of {x_n} is at least quadratic. This can also be seen from the fact that the error in the nth term is O(n^(-3)), which is smaller than the error in a linearly converging sequence (which is O(n^(-1))).
b. The sequence {x_n} = {2^(-n)} converges linearly to zero as n approaches ∞.
To see this, we can calculate the limit of the ratio between consecutive terms:
lim_{n -> ∞} (x_{n+1} / x_n) = lim_{n -> ∞} (2^(-(n+1)) / 2^(-n)) = lim_{n -> ∞} (1/2) = 1/2
Since the limit is strictly less than 1, we know that the convergence rate of {x_n} is linear.
c. The sequence {x_n} = {2^(-2n)} converges quadratically to zero as n approaches ∞.
To see this, we can calculate the limit of the ratio between consecutive terms:
lim_{n -> ∞} (x_{n+1} / x_n) = lim_{n -> ∞} (2^(-(2(n+1))) / 2^(-2n)) = lim_{n -> ∞} (1/4) = 1/4
Since the limit is equal to 1/4, we know that the convergence rate of {x_n} is at least quadratic. This can also be seen from the fact that the error in the nth term is O(n^(-2)), which is smaller than the error in a linearly converging sequence (which is O(n^(-1))).
d. The sequence {x_n} = {2^(-a_n)}, where a_0 = a_1 = 1 and a_{n+1} = a_n + a_{n-1} for n >= 2, converges superlinearly to zero as n approaches ∞.
To see this, we can use the fact that a_n grows exponentially with n. We can prove by induction that a_n >= phi^n, where phi is the golden ratio. Since the terms of {x_n} are decreasing and bounded below by 0, they must converge to a limit L. Taking the limit of the ratio of consecutive terms, we get:
lim_{n -> ∞} (x_{n+1} / x_n) = lim_{n -> ∞} (2^(-a_{n+1}) / 2^(-a_n)) = lim_{n -> ∞} (2^(-a_n - a_{n-1})) = 0
This shows that the convergence rate of {x_n} is superlinear.
I Need Help please!!
Slope of one of the dotted lines:
Slope of the line of reflection:
Answer:
see explanation
Step-by-step explanation:
calculate slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
consider the middle dotted line
with
(x₁, y₁ ) = (- 5, - 3) and (x₂, y₂ ) = (6, 8) ← 2 points on the line
m = [tex]\frac{8-(-3)}{6-(-5)}[/tex] = [tex]\frac{8+3}{6+5}[/tex] = [tex]\frac{11}{11}[/tex] = 1
consider the line of reflection ( the solid line )
with
(x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (- 1, 4) ← 2 points on the line
m = [tex]\frac{4-3}{-1-0}[/tex] = [tex]\frac{1}{-1}[/tex] = - 1
I need help with this question very fast !!
Answer:
angle a: 70°
angle d: 70°
angle dce: 35°
x: 15m
y: 14m
Step-by-step explanation:
all triangles add to 180° so 35 + 75 = 110 and 180-110 = 70
where the two triangles connect and cross, the angles will be the same so it will have the same angle measures as the first triangle which makes the triangles similar
knowing that they are similar triangles will help with figuring out the lengths of the sides.
since they are similar, their sides will be proportional, we just need to figure out the ratio
if we lay the triangles on top of each other, the two 75° angles match up and therefore the sides do too so we can make a fraction 12/18 = 10/x
now we can solve for x
multiply both sides by x
12x/18 = 10
now multiply both sides by 18
12x = 180
divide both sides by 12
x = 15
now we do the same for y
12/18 = y/21
12*21/18 = y
y = 14
hope this helps!
Blooming Flower Company was started in Year 1 when it acquired $60,000 cash from the issue of common stock. The following data summarize the company’s first three years’ operating activities. Assume that all transactions were cash transactions.
The recording of the transactions in the Blooming Flower Company for the Year 1 . The amount of depreciation expense on its Year 1 Income Statement is $9,000.
What is income tax?Income tax is a tax applied on individuals or entities concerning income or profit earned by them.
The Data Analysis as follows;
Cash $60,000 Common Stock $60,000
Equipment $40,000 Cash $40,000
Cash $72,000 Sales Revenue $72,000
Salaries Expense $25,000 Cash $25,000
Depreciation Expense - $9,000
Accumulated Depreciation $9,000 means ($40,000 - $4,000)/4
Now we have
Transaction Balance Sheet Income Statement StatemenCashFlows
Assets = Liabilities + Equity
Revenue - Expense = Net Income
1. +$60,000 = $0 + $60,000 FA
2. +40,000 - 40,000 IA
3. +72,000 = $0 + 72,000 +$72,000 OA
4. -25,000 = $0 - 25,000 - 25,000 OA
5. -9,000 = $0 - 9,000 - 9,000 N/A
$98,000 = $0 $98,000 $72,000 - $34,000 = $38,000
Where FA = Financing activity
IA = Investing activity
OA = Operating activity
N/A = Not applicable
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Khadija, Adnan, and Husam sent a total of 80 text messages over their cell phones during the weekend. Husam sent 2 times as many messages as Adnan. Adnan sent 8 more messages than Khadija. How many messages did they each send?
We can conclude that -
Messages sent by Khadija = 7Messages sent by Adnan = 15Messages sent by Husam = 30What is algebraic expression?An algebraic expression is a combination of terms both constants and variables. For example -
2x + 3y + z
3x + y
Given is that Khadija, Adnan, and Husam sent a total of 80 text messages over their cell phones during the weekend. Husam sent 2 times as many messages as Adnan. Adnan sent 8 more messages than Khadija.
Assume that Khadija sent {x] messages. Then, Adnan would have send
(x + 8) messages and Husam would have sent 2(x + 8) messages. We can
write the sum as -
x + x + 8 + 2x + 16 = 80
4x + 24 = 80
4x = 56
x = 7
Messages sent by Khadija = 7
Messages sent by Adnan = 15
Messages sent by Husam = 30
Therefore, we can conclude that -
Messages sent by Khadija = 7Messages sent by Adnan = 15Messages sent by Husam = 30To solve more questions on expressions and equations, visit the link below
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HELLLLP I NEED THIS ANSWERED ASAP
Answer:
Step-by-step explanation:
3f(x) stretches the graph of the function by a factor of 3 since it is being multiplied to f(x) and 3 is greater than one.
f(x+3) shifts the graph of the function 3 units to the left since 3 equals h in the equation: f(x-h), so you switch the sign and it becomes negative thus moving left.
f(3x) compresses the graph by a factor of 1/3 since it is inside the parenthesis.
f(x) + 3 shifts the graph of the function up by 3 units since it is being added to f(x).
Alice’s chicken coop (cage) has a total volume of 1,472 cubic feet (ft3). Use the fact that 1 foot is approximately equal to 0.3048 m to convert this volume to m3. Round your answer to the nearest tenth.
Answer:
41.7 m³
Step-by-step explanation:
You want a volume of 1472 ft³ expressed in cubic meters.
Units conversionOne foot is exactly 0.3048 meters, so we can write the fraction ...
(0.3048 m)/(1 ft)
and it will have a value of 1. When we multiply by this, it does not change the length, but it changes the units of the length.
VolumeThe volume is expressed as the third power of the length unit, so we need to use this conversion factor 3 times.
1472 ft³ = (1472 ft³) × ((0.3048 m)/(1 ft))³ = 1472·0.3048³ m³ ≈ 41.7 m³
The volume of Alice's chicken coop is about 41.7 cubic meters.
Determine if the triangles are congruent. If they are, state how you know.
*
The triangles are congruent by ''ASA congruency theorem.''
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Two triangles PQT and PZX are shown in figure.
Now, By figure;
In both triangles PQT and PZX,
⇒ ∠ QTP = ∠ PXZ
⇒ PQ = PZ
⇒ ∠ QPT = ∠ XPZ (By definition of vertically opposite angle.)
Thus, By ASA congruency theorem both triangles are congruent.
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Consider this argument: Bob is 13 feet tall So, Bob is taller than most other people Suppose there are no implicit premises: this is the whole argument. Which of the following is true about this argument? A. The premise entails the conclusion because, if the premise is true, the conclusion has to be true B. The premise does not entail the conclusion because, if the premise is true, the conclusion could still be false (setting aside facts not supplied by the premise)
с. The premise entails the conclusion because, setting aside facts not supplied by the premise, there is no way the premise could be true and the conclusion false. D. The premise does not entail the conclusion because it has no suppositional strength.
The correct statement is Option - B →
The premise does not entail the conclusion because, if the premise is true, the conclusion could still be false.
What is argument in mathematics?A mathematical argument is a sequence of statements and reasons given with the aim of demonstrating that a claim is true or false.
Given is that Bob is 13 feet tall. So, Bob is taller than most other people.
The correct statement is -
The premise does not entail the conclusion because, if the premise is true, the conclusion could still be false.
Therefore, the correct statement is Option - B →
The premise does not entail the conclusion because, if the premise is true, the conclusion could still be false.
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A theatre contains 487 seats and the ticket prices for a recent play were $47 for adults and $29 for children. If the total proceeds were $17,525 for a sold-out matinee, how many of each type of ticket were sold?
Answer:
Step-by-step explanation:
Let's use A to represent the number of adult tickets sold and C to represent the number of children tickets sold. We can set up two equations based on the information given:
The total number of tickets sold is the sum of adult and children tickets:
A + C = 487
The total proceeds from ticket sales is the product of the number of tickets and their respective prices:
47A + 29C = 17525
We can use the first equation to solve for one of the variables in terms of the other:
C = 487 - A
Substituting this expression for C into the second equation, we get:
47A + 29(487 - A) = 17525
Simplifying and solving for A:
18A + 14123 = 17525
18A = 3402
A = 189
So 189 adult tickets were sold. Using the equation C = 487 - A, we can find the number of children tickets sold:
C = 487 - 189 = 298
Therefore, 189 adult tickets and 298 children tickets were sold for the matinee.
Solve for x. Show work.
Answer:
x = -7.8
Step-by-step explanation:
Solve for x:
[tex]x-(-3.9)=-3.9[/tex]
Simplify
[tex]x+3.9=-3.9[/tex]
Subtract 3.9 on both sides
[tex]x=-7.8[/tex]
please help! math question!
Simplifying, the exponents expression, we have 63y/xu⁴
What are exponents?Exponents are the powers to which a particular number is raised.
How to simplify the expression?Given the expression 3y⁻⁴ . 3y⁵x⁸u⁻⁵.7x⁻⁹. To simplify the expression, we use the product rule of exponents which states that for a given base x, xᵃ xᵇ = xᵃ⁺ᵇ.
So, applying this rule to the expression and collecting common bases, we have that
3y⁻⁴ . 3y⁵x⁸u⁻⁵u.7x⁻⁹ = 3y⁻⁴ × 3y⁵ × x⁸ × 7x⁻⁹ × u⁻⁵ × u
= 3 × 3 × y⁻⁴ × y⁵ × 7 × x⁸ × x⁻⁹ × u⁻⁵ × u
Applying the product rule, we have that
= 3 × 3 × y⁻⁴ ⁺ ⁵ × 7 × x⁸ ⁺(⁻⁹) × u⁻⁵ ⁺ ¹
= 3 × 3 × y⁻⁴ ⁺ ⁵ × 7 × x⁸ ⁻ ⁹ × u⁻⁵ ⁺ ¹
= 3 × 3 × y × 7 × x⁻¹ × u⁻⁴
= 3 × 3 × 7 × y × x⁻¹ × u⁻⁴
Using the reciprocal rule that x⁻ⁿ = 1/xⁿ, we have that
= 3 × 3 × 7 × y × x⁻¹ × u⁻⁴
= 63 × y × 1/x × 1/u⁴
= 63y/xu⁴
So, simplifying, we have 63y/xu⁴
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Solve for d.
d+5≥6 solve one step liner inequality
The range of value for d is d ≥ 1
What is inequality?Inequality, In mathematics is a statement of an order relationship. Greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Greater than is >
Greater then or equal to is ≥
less than <
less then or equal to ≤
d + 5≥ 6
add the additive inverse of 5 to both sides
d+5+(-5) ≥ 6+(-5)
d ≥ 6-5
d ≥ 1
therefore the range of value of d is d ≥ 1
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You need to solve a system of equations. You decide to use the elimination method.which of these is not allowed? 2x-3y=12 equation 1 and -x+2y=13 equation 2
The solution to the system of equations is x = 34.5, y = 19.
None of the operations that can be performed on these equations violate the rules of the elimination method, so they are all allowed.
To solve the system of equations using the elimination method, you can multiply equation 2 by 2 to obtain:
-2x + 4y = 26 (equation 2, multiplied by 2)
Then, you can add this equation to equation 1 to eliminate the x variable:
(2x - 3y) + (-2x + 4y) = 12 + 26
Simplifying and solving for y, you get:
y = 19
Substituting this value of y into either equation, you can solve for x:
2x - 3(19) = 12
2x - 57 = 12
2x = 69
x = 34.5
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Prove Tan^2(x)*Sin^2(x)=Tan^2(x)-Sin^2(x)
It is proved that [tex]tan^2(x)*sin^2(x) = tan^2(x) - sin^2(x)[/tex]
What is Trigonometry?Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. It has applications in fields such as engineering, physics, and navigation.
We can use the trigonometric identity:
[tex]tan^2(x) + 1 = sec^2(x)[/tex]
to derive the identity:
[tex]tan^2(x) = sec^2(x) - 1[/tex]
We can also use the identity:
[tex]sin^2(x) + cos^2(x) = 1[/tex]
to derive the identity:
[tex]cos^2(x) = 1 - sin^2(x)[/tex]
Then, substituting the second identity into the first, we get:
[tex]tan^2(x) = sec^2(x) - 1 = 1/cos^2(x) - 1 = (1 - cos^2(x))/cos^2(x) = sin^2(x)/cos^2(x) = tan^2(x)*sin^2(x)/(1 - tan^2(x))[/tex]
Multiplying both sides by [tex](1 - tan^2(x))[/tex], we get:
[tex]tan^2(x)*(1 - tan^2(x))*sin^2(x) = tan^2(x)*(1 - tan^2(x)) - sin^2(x)*tan^2(x)tan^2(x)*sin^2(x) - tan^4(x)*sin^2(x) = tan^2(x) - tan^4(x) - sin^2(x)*tan^2(x)tan^2(x)*sin^2(x) = tan^2(x) - sin^2(x)[/tex]
Hence Proved
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Answer please, I'll give brainlyist
Answer:
(1,-1)
Step-by-step explanation:
Answer:
Option B: [tex](1, -1)[/tex]
Step-by-step explanation:
The two equations are linear simultaneous equations, which can be solved by either the substitution, elimination or graphical method.
Substitution method:
Formulate an expression for x in terms of y by isolating x and making it the subject of the equation:
[tex]x + 2y = -1[/tex]
∴ [tex]x = -2y -1[/tex] —— (equation i)
[tex]2x - 3y = 5[/tex] ——- (equation ii)
Substitute (equation i) in (equation ii) to solve for y:
[tex]2(-2y -1) - 3y = 5[/tex]
Expand the brackets or parenthesis using the Distributive Law:
[tex]-4y -2 -3y = 5[/tex]
Bring all the like terms together. Isolate the y terms together on one side of the equation and move all the other terms to the other side:
[tex]-4y -3y = 5 + 2[/tex]
= [tex]-7y = 7[/tex]
= [tex]y = -\frac{7}{7}[/tex]
∴ y = [tex]-1[/tex]
Substitute this calculated value of y into any of the equations to solve for x:
[tex]x = -2(-1) - 1[/tex]
[tex]= 2 - 1[/tex]
∴ x = [tex]1[/tex]
Together these x and y values form an ordered pair. In addition, this ordered pair is a solution to both the equations and also considered the point of intersection of the two equations
∴ Option B: [tex](1, -1)[/tex]
\frac{3x+3}{9}=\frac{2x+2}{6}
Answer: 6x = 6x. || x is equal to any number.
Step-by-step explanation:
Step 1. 3x + 3 / 9 = 2x + 2 / 6
Step 2. We multiply all terms by the same value to eliminate fraction denominators, then cancel multiplied terms that are in the denominator. After this, distribute. 6x + 6 = 6x + 6
Step 3. Subtract 6 from both sides. 6x (6 - 6) = 6x (6 - 6)
Step 4. Simplify the expression. 6x = 6x
Step 5. x = any number.
give the numerical value of the parameter n in the following binomial distribution scenario. the probability of buying a movie ticket with a popcorn coupon is 0.597 and without a popcorn coupon is 0.403. if you buy 18 movie tickets, we want to know the probability that no more than 13 of the tickets have popcorn coupons. Consider tickets with popcorn coupons as successes in the binomial distribution. Do not include n= in your answer.
Answer:
18
Step-by-step explanation:
About 217,000 high school students took the AP Statistics exam in 2017. The free-response section of the exam consisted of five open-ended problems and an investigative task. Each free-response question is scored on a 0 to 4 scale (with 4 being the best). For one of the problems, a random sample of 30 student papers yielded a mean score of x =1.267 and a standard deviation of 1.230. a. Find and interpret the standard error of the mean. b. Construct and interpret a 90% confidence interval to estimate the true mean score on this question.
The standard error is of 0.2246, which means that the mean scores for samples of 30 vary around 0.2246 from the mean.
What is a confidence interval?The confidence interval is the range of values that you expect your estimate to fall between a certain percentage of the time if you run your experiment again or re-sample the population in the same way.
The confidence interval formula is [tex]\bar x\pm t\frac{s}{\sqrt{n}}[/tex].
Where, [tex]\bar x[/tex] is the sample mean, t is the critical value, n is the sample size and s is the standard deviation for the sample.
Here,
[tex]\bar x[/tex] =1.267, s=1.23, n=30
The standard error is Se= 1.23/√30
= 0.2246
Item a:
The standard error is of 0.2246, which means that the mean scores for samples of 30 vary around 0.2246 from the mean.
Item b:
Using a t-distribution calculator, considering a confidence level of 0.99 with 30 - 1 = 29 df, the critical value is t = 2.7564.
[tex]\bar x\pm tS_c[/tex]
[tex]\bar x+ tS_c[/tex] =1.267-2.7564(0.2246) =0.6479
[tex]\bar x- tS_c[/tex] =1.267+2.7564(0.2246) =1.8861
Therefore, the 99% confidence interval to estimate the true mean score on this question is (0.6479, 1.8861). It means that we are 99% that the true mean score of all students in this question is between 0.6479 and 1.8861.
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Which of the following operators allows you to specify a range and is often used with date criteria? a) in b) NOT c) BETWEEN d) LIKE
Therefore , the solution of the given problem of range comes out to be option c) BETWEEN .
What is the range?The variable's range is calculated by multiplying the maximum observed value by its minimum observed (minimum). Variable steel prices and different designs are two examples of potential range or central difference limits. The breadth or scope of a process or action gives a hint as to the utmost or anticipated spread of a weapon's missile. The range of a list or subgroup is the integer between its lowest and maximum.
Here,
To specify a range and is often used with date criteria
the operation which we use :
Is option c) BETWEEN
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Please help answer this question ASAP!!
Jordan is taking out a two-week payday loan for $600. He will be charged $95 interest for the two-week loan. What is the
APR for this loan? Round your answer to the nearest whole number.
Expand and simplify
1) 3x + 2(x + 5) =
2) 6+ 4(x + 3) =
3) 4x + 2(x - 5) =
4) 5x2(x + 8) =
5) 5x2(x-8)=
6) 3(x + 7) + 6(3x + 4) =
7) 4(2x + 5) + 3(3x-4)=
8) 4(3x + 2) + 6(4x + 3) =
9) 6(x + 7)-3(x+4)
10) 3(8x-4) + 4(2x + 5) =
11)6(5x +7) - 2(x − 4) =
12) 5(x + 7)-2(x - 9) =
13) 6(y-8)-3(x + 5) =
14) 8(3x + 7)- 3(2x + 8) =
15) 9(8x-5)- 7(8x - 9) =
Step-by-step explanation:
these are the answer s hope this helps.
A 28 g serving of almonds has 160 calories. How many calories are in a 45 g serving of almonds?
Answer:
257.14 calories (about 260)
Step-by-step explanation:
To solve this problem, we can use proportions.
If a 28 g serving of almonds has 160 calories, then:
28 g / 160 calories = 45 g / x calories
where x is the number of calories in a 45 g serving of almonds.
We can cross-multiply and solve for x:
28 g * x = 160 calories * 45 g
x = (160 calories * 45 g) / 28 g
x = 257.14 calories
Therefore, a 45 g serving of almonds has 257.14 calories (rounded to two decimal places).
The graph below shows a transformation of y=2^x
Write an equation for the graph above.
The equation of the graph given is y = -([tex]2^x[/tex] - 2).
What is translation?It is the movement of the shape in the left, right, up, and down directions.
The translated shape will have the same shape and shape.
There is a positive value when translated to the right and up.
There is a negative value when translated to the left and down.
We have,
y = [tex]2^x[/tex]
The transformation of the function to get the given graph.
Step 1:
Shrink vertically with a scale factor of 2.
Step 2:
Rotation of the function about the origin.
We get,
y = -([tex]2^x[/tex] - 2)
Thus,
The equation of the graph is y = -([tex]2^x[/tex] - 2).
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Generate an equivalent expression using the Distributive Property.
question one: 6(x + 4)
question two: 2(5 + r)
question three: 11(n + 3)
Answer:
6(x + 4) can be distributed as 6x + 24.2(5 + r) can be distributed as 10 + 2r.11(n + 3) can be distributed as 11n + 33.Step-by-step explanation:
The Distributive Property states that multiplying a sum by a number is the same as multiplying each addend in the sum by the number and then adding the products. In each of the given expressions, we can use the Distributive Property to expand the expression by multiplying the coefficient outside the parentheses to each term inside the parentheses, and then adding the resulting products. This results in an equivalent expression that is simplified but has the same value as the original expression.
Answer:
Step-by-step explanation:
6(x+4)
Distribute 6 between the terms x and 4 as:
6(x)+6(4)
=6x+24
2(5+r)
Distribute 2 between the terms 5 and r as:
2(5)+2(r)
=10+2r
11(n+3)
Distribute 11 between the terms n and 3 as:
11(n)+11(3)
=11n+33
100 POINTS If a business owner paid for all business assets with their own money, what percent of the profits will they receive?
A. 100%
B. 95%
C. 75%
D. 50%
Answer:
A. 100%
Step-by-step explanation:
Business owners will recieve 100% of their profits, because they paid for them. The recommended profits are 50% because they need to pay employees as well.
Use the dropdown to complete the following inequality.
1- a ? 0
The complete sentence with inequality is,
⇒ 1 - a > 0
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The number line is shown in figure.
By figure, the value of a is in between - 1 and - 2.
Hence, It is negative number.
Thus, We can assume,
⇒ a = - x
Hence, We get;
⇒ 1 - a
⇒ 1 - (- x)
⇒ 1 + x > 0
Thus, The complete sentence with inequality is,
⇒ 1 - a > 0
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What mass of MnO2 is produced when 445 grams of H2O are reacted?
H20 + 2MnO4+ Br- + BrO3 + 2MnO2 + 20H-
Answer:
if 49.4 moles of MnO4- are available, 4300 g (or 4.3 kg) of MnO2 will be produced.
Step-by-step explanation:
16H+ (aq) + 2MnO4- (aq) + 10Br- (aq) → 2MnO2 (s) + 5Br2 (aq) + 8H2O (l)
From the balanced equation, we can see that 2 moles of MnO4- reacts with 2 moles of MnO2. Therefore, the number of moles of MnO2 formed is equal to the number of moles of MnO4- used.
First, let's calculate the number of moles of MnO4- used:
m(H2O) = 445 g
M(H2O) = 18.015 g/mol
n(H2O) = m/M = 445 g / 18.015 g/mol = 24.7 mol
Since 1 mol of H2O reacts with 2 moles of MnO4-, the number of moles of MnO4- required to react with 24.7 mol of H2O is:
n(MnO4-) = 2 × n(H2O) = 49.4 mol
Therefore, if we have 49.4 moles of MnO4- available, all of the MnO4- will be consumed and form the same number of moles of MnO2. The molar mass of MnO2 is 86.94 g/mol. The mass of MnO2 produced can be calculated as:
m(MnO2) = n(MnO2) × M(MnO2) = 49.4 mol × 86.94 g/mol = 4300 g
Therefore, if 49.4 moles of MnO4- are available, 4300 g (or 4.3 kg) of MnO2 will be produced.
100 POINTS PLEASE HELP WILL MARK BRAINLIEST
Answer:
When cash is received, it should be entered as a debit to the cash account, as the cash account is an asset account that reflects an increase in the company's assets. Therefore, the journal entry would be:
Date: Oct - 1
Account: Cash
Account Number: 1000
Debit: $8000
Credit: $0
identify the dependant clause in the following sentence: i will put away my winter clothes and store the blankets in the upstairs closet when i no longer have to turn ob the furnace every day.
The dependent clause in the sentence is: "when I no longer have to turn on the furnace every day."
How to determine the dependent clauseThe sentence has two parts: the first part is an independent clause, which can stand alone as a complete sentence:
"I will put away my winter clothes and store the blankets in the upstairs closet."
The second part is a dependent clause, which cannot stand alone as a complete sentence, and it starts with the subordinating conjunction "when."
The dependent clause provides additional information on when the action of putting away winter clothes and storing blankets will happen, and it depends on the independent clause to make sense.
Hence, "when I no longer have to turn on the furnace every day" is the dependent clause.
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