Answer:
\(t \in \mathrm {R}\)
Step-by-step explanation:
\(2t + 6 = 2(t + 3)\)
\(2t + 6 = 2t + 6\)
\(2t + 6 - 2t = 2t - 6 - 2t\)
\(6 = 6\)
\(t \in \mathrm {R}\)
7. Ifa = 3an * db = - 2 . find the values of: (a + b)ab
The Values of (a+b)ab are undefined.
Given that, a = 3an and db = -2We need to find the values of (a+b)
Now, we have a = 3an... equation (1)Also, we have db = -2... equation (2)From equation (1), we get: n = 1/3... equation (3)Putting equation (3) in equation (1), we get: a = a/3a = 3... equation (4)Now, putting equation (4) in equation (1), we get: a = 3an... 3 = 3(1/3)n = 1
From equation (2), we have: db = -2=> d = -2/b... equation (5)Multiplying equation (1) and equation (2), we get: a*db = 3an * -2=> ab = -6n... equation (6)Putting values of n and a in equation (6), we get: ab = -6*1=> ab = -6... equation (7)Now, we need to find the value of (a+b).For this, we add equations (1) and (5),
we get a + d = 3an - 2/b=> a + (-2/b) = 3a(1) - 2/b=> a - 3a + 2/b = -2/b=> -2a + 2/b = -2/b=> -2a = 0=> a = 0From equation (1), we have a = 3an=> 0 = 3(1/3)n=> n = 0
Therefore, from equation (5), we have:d = -2/b=> 0 = -2/b=> b = ∞Now, we know that (a+b)ab = (0+∞)(0*∞) = undefined
Therefore, the values of (a+b)ab are undefined.
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Help me with this please :)))))
Answer:
8.2
Step-by-step explanation:
if EG is 13, thats the total minus EF which is 4.8 so it equals 8.2
exercise 1.3.8. find an implicit solution for ,dydx=x2 1y2 1, for .
To find the implicit solution for dy/dx = x^2/(1-y^2), we can start by separating the variables and integrating both sides.
dy/(1-y^2) = x^2 dx
To integrate the left-hand side, we can use partial fractions:
dy/(1-y^2) = (1/2) * (1/(1+y) + 1/(1-y)) dy
Integrating both sides, we get:
(1/2) * ln|1+y| - (1/2) * ln|1-y| = (1/3) * x^3 + C
Where C is the constant of integration.
We can simplify this expression by combining the natural logs:
ln|1+y| - ln|1-y| = (2/3) * x^3 + C'
Where C' is a new constant of integration.
Finally, we can use the logarithmic identity ln(a) - ln(b) = ln(a/b) to get the implicit solution:
ln|(1+y)/(1-y)| = (2/3) * x^3 + C''
Where C'' is a final constant of integration.
Therefore, the implicit solution for dy/dx = x^2/(1-y^2) is ln|(1+y)/(1-y)| = (2/3) * x^3 + C''.
Given the differential equation:
dy/dx = x^2 / (1 - y^2)
To find an implicit solution, we can use separation of variables. Rearrange the equation to separate the variables x and y:
(1 - y^2) dy = x^2 dx
Now, integrate both sides with respect to their respective variables:
∫(1 - y^2) dy = ∫x^2 dx
The result of the integrations is:
y - (1/3)y^3 = (1/3)x^3 + C
This is the implicit solution to the given differential equation, where C is the integration constant.
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solve for x
.problem down below
24=9x+4-4x
Solve equation. Check your answer.
Answer:
x=4. Verified, Not wrong.
Step-by-step explanation:
24=9x+4-4x
24 = 5x+4
20-4
5x=20
(divide)
x=4
Step-by-step explanation:
24-4=9x-4x
20=9x-4x
20=5x
x=4
A company sells widgets. The amount of profit, y, made by the company, is related to
the selling price of each widget, x, by the given equation. Using this equation, find out
what price the widgets should be sold for, to the nearest cent, for the company to
make the maximum profit.
3032 + 13251 – 8569
Answer:
bad expression
Step-by-step explanation:
13251+3032−8569=7714
It's distance from the point (2, 1) is double it's distance from (1, 2)
The distance from the point (2, 1) is double it's distance from (1, 2) is 2.8
What is the distance between two points?The distance between two points in a 2D Cartesian coordinate system is the length of the path connecting them. The shortest path distance is a straight line. The Pythagorean theorem states that the distance between points (X1, Y1) and (X2, Y2) is given by the formula [(x2 x1)2 + (y2 y1)2], where (x1, y1) and (x2, y2) are two points on the coordinate plane.
Distance = √(y₁-y₂)² + (x₁-x₂)²
distance = √(2-1)² + (1-2)²
the distance = √1+1
The distance = √2 = 1.4 = 2*1.4 = 2.8
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Classify the expression: 5x3+2x-3
Quadratic expression
Linear expression
Cubic expression
Exponential expression
Considering that it's highest exponent is of 3, the expression 5x³ + 2x - 3 is a cubic expression.
What is the degree of a polynomial?The degree of a polynomial is given by the highest exponent.
The highest exponent of the expression 5x³ + 2x - 3 is a 3, hence it is a cubic expression.
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Answer: C: cubic expression
Step-by-step explanation:
Classify the expression: 5x³ + 2x − 3
we know that
Polynomials can be classified two different ways - by the number of terms and by their degree.
so
a) By the number of terms is a trinomial, because has three terms
b) By their degree The degree of the polynomial is found by looking at the term with the highest exponent on its variable
The highest exponent is 3 so this is a 3rd degree trinomial
therefore
Is a cubic expression
What is the slope of (4,16) and (-3,2)
Answer:
When x=0, y = 8
When y=0, x = -4
Step-by-step explanation:
Answer:
M = 2
Step-by-step explanation:
What is the probability that either event will occur?
First, find the probability of event A.
A
B
18
6
12
P(A) = [?]
Enter as a decimal rounded to the nearest hundredth.
The probability that either event will occur is 0.83
What is the probability that either event will occur?From the question, we have the following parameters that can be used in our computation:
Event A = 18
Event B = 12
Other Events = 6
Using the above as a guide, we have the following:
Total = A + B + C
So, we have
Total = 18 + 12 + 6
Evaluate
Total = 36
So, we have
P(A) = 18/36
P(B) = 12/36
For either events, we have
P(A or B) = 30/36 = 0.83
Hence, the probability that either event will occur is 0.83
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Answer:
P(A) = 18/36 (0.50)
P(B) = 12/36 (0.33)
Total answer for (A or B) = 30/36 = 0.83
Step-by-step explanation:
A=18/36 (0.50)
B=12/36 (0.33)
So to get the answer for A and B you need to add 0.50 and 0.33, which gets you 0.83.
Theodore needs to mix a 30% alcohol solution with a 50% alcohol solution to create 100 milliliters of a 32% solution. How many milliliters of each solution must Theodore use
Answer:
50 % alcohol solution = 10 millimetres
30 % alcohol solution = 90 millimetres
Step-by-step explanation:
two equations can be derived from this question
x + y = 100 equation 1
0.3x + 0.5y = 100 x 0.32 = 32
0.3x + 0.5y = 32 equation 2
where :
x = 30% alcohol solution
y = 50% alcohol solution
multiply equation 1 by 0.3
0.3x + 0.3y = 30 equation 3
subtract equation 3 from 2
0.2y = 2
y = 10
substitute for y in equation 1
x + 10 = 100
x = 100 - 10
x = 90
Determine whether the series is convergent or divergent. 1 + 1/(2√2) + 1/(3√3) + 1/(4√4) + 1/(5√5) ⋯ The series is a _____ convergent p-series with p =_____
The series is a convergent p-series with p = 3/2.
The given series is:
1 + 1/(2√2) + 1/(3√3) + 1/(4√4) + 1/(5√5) + ...
To determine whether this series is convergent or divergent, we can rewrite it as:
Σ (1/n√n) from n = 1 to ∞
Now we can use the p-series test. A p-series is of the form Σ (1/n^p) from n = 1 to ∞, where p is a constant. If p > 1, the series is convergent; if p ≤ 1, the series is divergent.
In this case, we have:
1/n√n = 1/n^(3/2)
So, p = 3/2. Since p > 1, the series is a convergent p-series with p = 3/2.
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In ΔRST, s = 340 inches, t = 970 inches and ∠R=109°. Find ∠T, to the nearest degree.
Answer:
Divide
Step-by-step explanation:
State engineers have determined that a bridge cannot carry more than 700,000 pounds evenly dispersed.
The legal limit for 6-axle trucks is 100,000 pounds and the legal limit for Z-axle trucks is 34,000 pounds.
How many 6-axle trucks can travel on the bridge at one time? How many 2-axle trucks? (Assume that
there are no other vehicles on the bridge.) Write an inequality to solve the problem, then graph the solution.
The inequality of the bridge's legal limit 100000x + 34000y ≤ 700000
How to determine the inequalityThe given parameters are:
Maximum = 700,000 pounds6-axle trucks = 100,000 pounds2-axle trucks = 34,000 poundsRepresent the 6-axle trucks with x and the y-axle trucks with y.
So, we have the following inequality
100000x + 34000y ≤ 700000
The number of 6-axle trucks at one time
Here, we assume that y = 0.
So, we have:
100000x ≤ 700000
Divide by 100000
x ≤ 7
Hence, the number of 6-axle trucks at one time is 7
The number of 2-axle trucks at one time
Here, we assume that x = 0.
So, we have:
34000x ≤ 700000
Divide by 34000
x ≤ 20.58
Round down
x ≤ 20
Hence, the number of 2-axle trucks at one time is 20
See attachment for the inequality of 100000x + 34000y ≤ 700000
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Which answer describes the type of sequence?
3, 4, 5, 6, ...
geometric
neither arithmetic nor geometric
arithmetic
Answer:
arithmetic
Step-by-step explanation:
an arithmetic sequence is when you add or minus the same number
Answer:
the answer to this question is that the sequence is arithmetic sequence
Step-by-step explanation:
because the difference between the consecutive terms is consecutive terms is constant that sequence is arithmetic sequence. And is the sequence the numbers are increasing with +1 increment.
10 plus 10 30 times 30
Answer:
10+10=20
30x30= 900
Step-by-step explanation:
Answer:
900 plus 20 so
Step-by-step explanation:]
answer is 920
The average number of students attending a middle school in New York is 8 x 10^2. There are about 3,000,000 students attending school, kindergarten through 12th grade in NY. How many times greater is ty overall number of k-12 students compared to the number of middle school students?
(Write in scientific notation then solving) Please
Answer:
3.75x10^3
Step-by-step explanation:
3,000,000 divided by 8 x 10^2 is equal to 3,750 and I wrote it in scientific notation.
4 6 24 , 5 3 15, 2 3 6 ,4 2 8 what pattern do u see
11 student are in a waitlist for a course. two of the students in the list are named ed and ned. how many different ways are there for the students to be ordered in the list so that ed is higher in the list than ned?
The different ways that are there for the students to be ordered in the list so that Ed is higher on the list than Ned is 19,958,400
In the order, if Ned comes first on the list then Ed will not be on the list before Ned. (remember for Ed to be higher than Ned on the list, it should come after Ned on the list).
So if Ned is first on the list, then all the remaining (including Ed) can occur anywhere in the remaining list. Hence the total permutations will be 10!
Ned's corresponding choices: 1 109 8 7 6 5 4 3 -2 1
If Ned comes in the second position, then Ed can't come in the first position. Hence in the first position, there are only 9 choices.
*(excluding Ed) Ned * corresponding choices:
= 9*9!
*(including Ed (including Ed) Ned corresponding choices: *k
= 9*8*8!
Total combinations will be:
10! + 9*9! + 9*8*8! + 9*8*7*7! + 9*8*7*6*6! + 9*8*7*6*5*5! + 9*8*7*6*5*4*4! + 9*8*7*6*5*4*3*3! +9*8*7*6*5*4*3*2*2! + 9*8*7*6*5*4*3*2*1*1! .
= 19,958,400
We can directly compute it. Since there will be a total of 11! combinations in which 11!/2 times Ed comes after Ned and 11!/2 times Ed comes before Ned.
and 11!/2 = 39,916,800/2 = 19,958,400
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What are the domain and range of the function? the domain is the set of integers, and the range is y > 4. The domain is the set of integers, and the range is y > 0. The domain is the set of real numbers, and the range is y > 0. The domain is the set of real numbers, and the range is y > 4.
The correct option is (D) "The range is y > 0, and the domain is all real integers."
What are domain and range?In order to identify the values of the independent variable x and acquire the domain, we simply solve the equation y = f(x).
Simply put, x=g(y) will calculate the function's range after we identify g's domain (y).
So, the domain and range of the graph are calculated as follows:
The interval (-,) is the domain of the graph's function: (-∞,∞)
That implies: Real numbers only
The interval between (0,) is the range of the graph's function: (0,∞)
It implies that y>0 is true for all positive real values.
Therefore, the correct option is (D) "The range is y > 0, and the domain is all real integers."
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Correct question:
What are the domain and range of the function on the graph?
A)The domain includes all integers, and the range is y ≥ 0.
B)The domain includes all integers, and the range is y > 0.
C)The domain includes all real numbers, and the range is y ≥ 0.
D)The domain includes all real numbers, and the range is y > 0.
Assume there is a sample of n
1
=4, with the sample mean
X
1
=35 and a sample standard deviation of S
1
=4, and there is an independent sample of n
2
=5 from another population with a sample mean of
X
ˉ
2
=31 and a sample standard deviation S
2
=5. In performing the pooled-variance t test, how many degrees of freedom are there? There are degrees of freedom. (Simplify your answer.)
There are 7 degrees of freedom.
In performing the pooled-variance t test, the degrees of freedom can be calculated using the formula:
df = (n1 - 1) + (n2 - 1)
Substituting the given values:
df = (4 - 1) + (5 - 1)
df = 3 + 4
df = 7
Therefore, there are 7 degrees of freedom.
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There are 7 degrees of freedom for the pooled-variance t-test.
To perform a pooled-variance t-test, we need to calculate the degrees of freedom. The formula for degrees of freedom in a pooled-variance t-test is:
\(\[\text{{df}} = n_1 + n_2 - 2\]\)
where \(\(n_1\)\) and \(\(n_2\)\) are the sample sizes of the two independent samples.
In this case, \(\(n_1 = 4\)\) and \(\(n_2 = 5\)\). Substituting these values into the formula, we get:
\(\[\text{{df}} = 4 + 5 - 2 = 7\]\)
In a pooled-variance t-test, we combine the sample variances from two independent samples to estimate the population variance. The degrees of freedom for this test are calculated using the formula \(df = n1 + n2 - 2\), where \(n_1\)and \(n_2\) are the sample sizes of the two independent samples.
To understand why the formula is \(df = n1 + n2 - 2\), we need to consider the concept of degrees of freedom. Degrees of freedom represent the number of independent pieces of information available to estimate a parameter. In the case of a pooled-variance t-test, we subtract 2 from the total sample sizes because we use two sample means to estimate the population means, thereby reducing the degrees of freedom by 2.
In this specific case, the sample sizes are \(n1 = 4\) and \(n2 = 5\). Plugging these values into the formula gives us \(df = 4 + 5 - 2 = 7\). Hence, there are 7 degrees of freedom for the pooled-variance t-test.
Therefore, there are 7 degrees of freedom for the pooled-variance t-test.
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A manufacturer has a steady annual demand for 15,000 cases of sugar. It costs $10 to store 1 case for 1 year, $30 in set up cost to produce each batch, and $16 to produce each case. Find the number of cases per batch that should be produced to minimize cost.
The number of cases per batch that should be produced to minimize cost is: 300 units
How to find the economic order quantity?The number of cases per batch that should be produced to minimize cost can be found by using the Economic Order Quantity.
The Economic Order Quantity (EOQ) is a calculation performed by a business that represents the ideal order size that allows the business to meet demand without overspending. The inventory manager calculates her EOQ to minimize storage costs and excess inventory.
Thus:
Number of cases per batch = √((2 * Setup costs * annual demand)/ holding costs for the year)
Solving gives:
√((2 * 30 * 15000)/10)
= √90000
= 300 units
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y=x^2+13
is is linear or non linear
Answer:
nonlinear
Step-by-step explanation:
because the "x" has an exponent of 2, so it is quadratic
hey yall i need help again im just lazy but will mark brainlyest
Answer:
1) 1
2) 1
3) 5/6
4) 3/10
5) 5/6
6) 2/7
7) 3/8
8) 5/14
Simplify
3 /6 − 1/ 7 =
3 /6 − 1 /7 =
3 /6 + −1 /7 =
1 /2 + −1 /7 =
7 /14 + −2 /14 =
7+−2 /14 =
5 /14
(Decimal: 0.357143)
9) 2/9
10) 2/21
Step-by-step explanation:
please with math and explain your answer
I think it's the third option
Evaluate the following integral using integration by parts. 4 sin-1 4 sin - ¹2x dx [4 sin -¹2x dx =
The complete solution is:
∫4\(sin^{-1}(2x) dx = sin^{-1}(2x)\) x 4x + √(1 - (2x)²) + C, where C is the constant of integration.
We have,
\(u = sin^{-1)}(2x)\)
dv = 4 dx
Taking the derivative of u, we get:
du/dx = 1 / √(1 - (2x)²)
Integrating dv, we get:
v = ∫4 dx = 4x
Now, applying the integration by parts formula:
∫4 \(sin^{-1}(2x) dx\) = uv - ∫vdu
Plugging in the values, we have:
∫4 \(sin^{-})(2x) dx = sin^{-1}(2x) \times\) 4x - ∫(4x / √(1 - (2x)²)) dx
At this point, we need to evaluate the integral on the right side.
Let's perform a substitution to simplify it:
Let u = 1 - (2x)²
Differentiating u with respect to x, we get:
du/dx = -4(2x) = -8x
Solving for dx, we have:
dx = -du / (8x)
Substituting these values, the integral becomes:
∫(4x / √(1 - (2x)²)) dx = ∫(-4x / (8x x √u)) (-du / (8x))
Simplifying, we get:
∫(4x / √(1 - (2x)²)) dx = ∫(-1 / (2√u)) du
= -∫(1 / (2√u)) du
= -√u + C
Substituting back the value of u, we have:
∫(4x / √(1 - (2x)²)) dx = -√(1 - (2x)²) + C
Therefore,
The complete solution is:
∫4\(sin^{-1}(2x) dx = sin^{-1}(2x)\) x 4x + √(1 - (2x)²) + C, where C is the constant of integration.
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The complete question:
a) Evaluate the integral ∫4 sin^(-1)(2x) dx using integration by parts.
Convert from rectangular to polar coordinates. (Enter all angles in radians.) (a) (0, 1) (Give your answer in the form (*.*). Express numbers in exact form. Use symbolic notation and fractions where needed.) (r, 0) =
Convert from rectangular to polar coordinates. (Enter all angles in radians.) (a) (0, 1) = (1.0, 1.57). Express numbers in exact form. Use symbolic notation and fractions where needed. (r, 0) = (1, π/2).
To convert from rectangular to polar coordinates, we use the following formulas:
r = √(x^2 + y^2)
θ = tan^-1(y/x)
Given the rectangular coordinates (0, 1), we can plug in the values of x and y into the formulas to find r and θ.
r = √(0^2 + 1^2) = √(1) = 1
θ = tan^-1(1/0) = π/2
Therefore, the polar coordinates are (1, π/2).
In the form (*.*), the answer is (1.0, 1.57).
In exact form, using symbolic notation and fractions where needed, the answer is (1, π/2).
So, the final answer is: Convert from rectangular to polar coordinates. (Enter all angles in radians.) (a) (0, 1) = (1.0, 1.57). Express numbers in exact form. Use symbolic notation and fractions where needed. (r, 0) = (1, π/2).
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DICIÓN DE POLINOMIOS. Sumar los polinomios. (4x + 9) + (5x – 8) (x2 – 4x + 7) + (2x2 + 6x – 8) (5x3 + 4x2 – 7x -8) + (2x3 – 3x2 + 4x – 3) SUSTRACCIÓN DE POLINOMIOS. Restar los polinomios. (4x + 9) - (5x – 8)=-x+17 (x2 – 4x + 7) - (2x2 + 6x – 8)=-20x2-13x-72 (5x3 + 4x2 – 7x -8) - (2x3 – 3x2 + 4x – 3)20x2 +32x-45x-72 (7x3 – 10x2 – 11x + 9) - (4x3 – 4x2 – 10) (4x2+9)-(5x-8) VI. PRODUCTO DE POLINOMIOS. Multiplicar los polinomios. 5x(x – 4)
Answer:
1) 10x⁵+38x⁴-23x³-101x²- 96x+50
-x+17
(7x²-x-29)=0
3x³ -13x²-4x + 67=0
3x³ -6x²-11x+19
5x²- 20x
Step-by-step explanation:
Spanish
Agregar los polinomios:
(4x + 9) + (5x - 8) (x2 - 4x + 7) + (2x2 + 6x - 8) (5x3 + 4x2 - 7x -8) + (2x3 - 3x2 + 4x - 3)
Primero multiplicaremos los polinomios con los corchetes
= 4x + 9 + (5x³- 20x² + 35x - 16x² + 32x-56) + (10x⁵ + 8x⁴- 14x³- 16x² + 30x⁴ + 24x³- 42x²- 48x- 40x³- 32x²- 56x + 64) + (2x³- 42x² + 4x -3)
Ahora simplificaremos dentro de los corchetes agregando primero los términos similares
= 4x + 9 + (5x³- 36x² + 67x-56) + (10x⁵ + 38x⁴- 30x³- 90x²-104x + 64) + (2x³- 42x² + 4x-3)
Ahora suma o resta todos los términos similares y distintos
= 10x⁵ + 38x⁴- 30x³ + 5x³ + 2x³- 90x²- 36x²- 42x² + 67x²-104x + 4x + 4x + 64 + 9-3
= 10x⁵ + 38x⁴-23x³-101x²- 96x + 50 Ans
Restando los polinomios
(4x + 9) - (5x - 8) = - x + 17
-5x +8 + 4x + 9 = -x + 17
-x + 17 = -x + 17
(x2 - 4x + 7) - (2x2 + 6x - 8) = -20x2-13x-72
x²-2x²-4x-6x + 7 + 8 = 20x2-13x-72
-x²-10x + 15-20x² + 13x + 72 = 0
-21x² + 3x + 87 = 0
-3 (7x²-x-29) = 0
(7x²-x-29) = 0
(5x3 + 4x2 - 7x -8) - (2x3 - 3x2 + 4x - 3) = 20x2 + 32x-45x-72
5x³-2x³ + 4x² + 3x²-7x-4x-8 + 3 = 20x2 -7x-72
3x³ + 7x²-11x-5-20x² + 7x + 72 = 0
3x³ -13x²-4x + 67 = 0
(7x3 - 10x2 - 11x + 9) - (4x3 - 4x2 - 10)
Los signos negativos cambian cuando restamos
= 3x³ -6x²-11x + 19
Ahora multiplicando
5x (x-4) = 5x²- 20x
English
Adding the polynomials :
(4x + 9) + (5x – 8) (x2 – 4x + 7) + (2x2 + 6x – 8) (5x3 + 4x2 – 7x -8) + (2x3 – 3x2 + 4x – 3)
First we will multiply the polynomials with the brackets
= 4x+9 + ( 5x³- 20x²+ 35x - 16x²+ 32x-56) + (10x⁵ + 8x⁴- 14x³- 16x²+30x⁴+ 24x³- 42x²- 48x- 40x³- 32x²- 56x+ 64) + ( 2x³- 42x²+ 4x-3)
Now we will simplify within the brackets first adding the like terms
= 4x+9 + (5x³- 36x²+67x-56) + (10x⁵ +38x⁴- 30x³- 90x²-104x+64) + ( 2x³- 42x²+ 4x-3)
Now add or subtract all the like and unlike terms
= 10x⁵+38x⁴- 30x³+5x³+2x³- 90x²- 36x²- 42x²+67x²-104x+4x+4x+64+9-3
= 10x⁵+38x⁴-23x³-101x²- 96x+50 Ans
Subtracting the Polynomials
(4x + 9) - (5x – 8)=-x+17
-5x +8 +4x+9 = -x+17
-x+17=-x+17
(x2 – 4x + 7) - (2x2 + 6x – 8)= -20x2-13x-72
x²-2x²-4x-6x+7+8=20x2-13x-72
-x²-10x+ 15-20x²+13x+72=0
-21x²+3x+87=0
-3(7x²-x-29)=0
(7x²-x-29)=0
(5x3 + 4x2 – 7x -8) - (2x3 – 3x2 + 4x – 3)= 20x2 +32x-45x-72
5x³-2x³+4x²+3x²-7x-4x-8+3= 20x2 -7x-72
3x³+7x²-11x-5-20x²+7x+72=0
3x³ -13x²-4x + 67=0
(7x3 – 10x2 – 11x + 9) - (4x3 – 4x2 – 10)
The negative signs are changed when we subtract
= 3x³ -6x²-11x+19
Now Multiplying
5x(x-4) = 5x²- 20x
In the equation shown, what is the value of n?
9^7/9^n=9^2
PLEASE HELP
Answer:
n=5
Step-by-step explanation:
All of the bases are 9 so you can set the exponents equal to each other.
Exponents in a fraction mean subtraction so 7-n = 2
-n=-5
n=5
for shape (i) give the electron-domain geometry on which the molecular geometry is based.
In shape (i), there are two electron domains around the central atom. This means that the electron-domain geometry is linear. However, there are two bonding pairs and no lone pairs of electrons around the central atom, resulting in the molecular geometry also being linear.
The concept of electron-domain geometry and molecular geometry is essential in understanding the properties of molecules. The electron-domain geometry is determined by the number of electron domains (bonding or lone pairs) around the central atom in a molecule. On the other hand, the molecular geometry is determined by the arrangement of atoms in the molecule, taking into account the presence of lone pairs.
Knowing the electron-domain geometry and molecular geometry of a molecule is crucial in predicting its polarity and reactivity. For instance, polar molecules have an asymmetric distribution of electron density, while nonpolar molecules have a symmetric distribution. This difference in polarity affects the physical and chemical properties of a molecule, such as boiling point, melting point, and solubility.
In summary, in shape (i), both the electron-domain geometry and molecular geometry are linear, which means that the central atom has two bonding pairs and no lone pairs. Understanding the electron-domain and molecular geometry of molecules is essential in predicting their properties and behavior.
To know more about electron domains refer here:
https://brainly.com/question/30461548?#
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