Solve for u.
7(u-1) = 3u + 1-2(-9u-2)
Simplify your answer as much as possible.

Answer: The function is no linear

Step-by-step explanation:

Answer: the func is nonlinear

Step-by-step explanation:

The next numbers in the series will be 0,1,-2,-1,0,-3,-2,-1........

This refers to a pattern of arranging numbers. In the number series problems, we will have to make the rules that result in the formation of a number series.

From the question:

1, 2, 3, 0, 1, 2, -1

First value plus one, second value plus one, Third value minus three. Then the pattern starts afresh again.

1 +1 = 2

2 + 1 = 3

3 -3 =0

0+1  = 1

1 + 1 = 2

2 -3 =-1

-1 + 1 =0

0 + 1 =1

1  - 3 = -2

-2 + 1 = -1

-1 + 1 = 0

0 -3 = -3

-3 + 1 = -2

-2 + 1= -1

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The sequence is decreasing as n increases and sequence converges to the value 0.

The given sequence is defined as aₙ = 1 / (7n + 3).

To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.

As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.

The sequence converges to the value 0.

The sequence is decreasing as n increases.

The sequence converges to the value 0.

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The translation direction is 5 units to the left.

To determine the translation direction and number of units, we can compare the original coordinates of point Q (Q(5, 4)) with the new coordinates of Q' after the translation (Q'(0, 4)).

By comparing the x-coordinates, we can see that the x-coordinate of Q' is smaller than the x-coordinate of Q, which means the triangle was translated to the left.

By comparing the y-coordinates, we can see that the y-coordinate of Q' is the same as the y-coordinate of Q, which means there was no vertical translation.

Therefore, the translation direction is 5 units to the left.

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The value of the d(g o f)/dt at t = 2 is 14.

We can start by computing the composition (g o f)(t) and then finding its derivative with respect to t using the chain rule.

(g o f)(t) = g(f(t)) = g(t, t^2 - 4e^(t-2))

At t = 2, we have f(2) = 2 and f'(2) = 2t - 4e^(t-2) evaluated at t = 2 gives f'(2) = 0.

To find d(g o f)/dt at t = 2, we first need to evaluate (g o f)(2):

(g o f)(2) = g(f(2)) = g(2, 0) = g(a)

Next, we use the chain rule to find the derivative of (g o f) with respect to t:

\((d/dt) (g o f)(t) = (∂g/∂x)(a) (df/dt) + (∂g/∂y)(a) (d/dt) (t^2 - 4e^{(t-2)}) + (∂g/∂z)(a) (dg/dz)(a)\)

Since f(t) = t, df/dt = 1. Also, since g(x,y,z) is differentiable, we can write dg/dz(a) as ∂g/∂z(a) = 2.

Substituting the values we have and evaluating at t = 2, we get:

\((d/dt) (g o f)(2) = (4)(1) + (2)(2t - 4e^{(t-2)})(t=2) + (2)(2)\)

= 4 + 2(4-4e^0) + 4

= 14

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Step-by-step explanation:

0.25 = 1/4 is not reach to 1

2 is an integral number.

So, 0.25 is smaller than 2

Answer:

2/5 is equal to 0.40, which is higher than 0.25

Step-by-step explanation:

2 ÷ 5= 0.4 which is the same as 0.40

SOLUTION

Step1: Write out the giving parameters

Step2: Write out the formula

Step3: Substitute the parameter into the formula

Then in percentage, the sales tax rate becomes

Therefore the sales tax rate is 5 %

Answer:

Step-by-step explanation:

maybe 3.) esteem needs

....

The equation that could be used to represent this situation, where x is the course fee and R(x) is the total revenue, is: R(x) = 250000 + 375x - 2.5x²

Equations are mathematical statements with two algebraic expressionsοn either sideοf an equals (=) sign. It illustrates the equality between the expressions writtenοn the left and right sides. To determine the valueοf a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.

N(x) = 625 + 2.5x

The revenue R(x) will be the productοf the numberοf students enrolled and the fee charged per student. The fee charged per student will be (400 - x) dollars. So, the revenue function can be represented as:

R(x) = (625 + 2.5x)(400 - x)

Simplifying the expression, we get:

R(x) = 250000 + 375x - 2.5x²

Therefore, the equation that could be used to represent this situation, where x is the course fee and R(x) is the total revenue, is:

R(x) = 250000 + 375x - 2.5x²

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Answer:

1st one = not equivalent

2nd = equivalent

3rd = equivalent

4th = not equivalent

Answer: To factor the expression -14 - (-8) completely using the distributive law, we need to simplify it first.

Remember that when we subtract a negative number, it is equivalent to adding the positive number. Therefore, -(-8) is the same as +8.

So the expression becomes:

-14 + 8

To factor it further using the distributive law, we can rewrite the addition as multiplication by distributing the -14 to both terms:

(-14) + (8) = -14 * 1 + (-14) * 8

This can be simplified as:

-14 + 8 = -14 * 1 + (-14) * 8 = -14 + (-112)

Finally, we can add the two negative numbers to get the result:

-14 + (-112) = -126

Therefore, the expression -14 - (-8) factors completely as -126.

Answer:

a = 2/5

Step-by-step explanation:

a + 1/10 = 5/10

Subtract 1/10 from both sides of the equation.

a + 1/10 = 5/10

-1/10 -1/10

a = 4/10

This answer is not incorrect but we usually need to simplify it if possible.

4/10 can be reduced to 2/5.

a = 2/5

Answer:

a=2/5

Step-by-step explanation:

To solve this, we first need to isolate the a so we can solve from there

First, we subtract 1/10. But whatever we do to one side we have to do to the other side. So when we subtract 1/10 from the left side we cancel it out and we subtract 1/10 from the right side so 5/10-1/10

So our equation becomes…

a=5/10-1/10

We can simplify this to…

a=4/10

4/10 is equal to 2/5

So that is our final answer

Now since we have nothing else to do that is our final answer

PLEASE AWARD BRAINLIEST I REALLY NEED TO LEVEL UP!

The number of inches apart that the four bolts will be along the circumference of the metal plate shown in the figure is 9.425 inches.

The circumference refers to the total distance around a circle.

The circumference can determined using the following formula.

Circumference = 2πr

Diameter of the circle = 12 inches

Radius = 12/2 inches = 6 inches

Circumference = 2 x 22/7 x 6

= 37.7 inches

The number of bolts along the circumference = 4

Distance between the four bolts = 9.425 inches (37.8 ÷ 4)

Thus, using division operation, the distance apart of the four bolts is 9.425 inches.

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Given statement solution is :- Interpreting the steady matrix:

The value 0.6 in the top left cell represents the proportion of customers who turn in tickets this week and will turn in tickets again next week.

The value 0.3 in the top right cell represents the proportion of customers who turn in tickets this week but will not turn in tickets next week.

The steady matrix provides a snapshot of the probabilities of transitioning between the two states (turning in tickets or not turning in tickets) in the long run, assuming these probabilities remain constant over time.

To analyze the steady matrix for this situation, let's consider the two groups of customers: those who turn in tickets and those who do not turn in tickets.

Let's denote the proportion of customers who turn in tickets as X and the proportion of customers who do not turn in tickets as Y.

According to the given information:

40% of the customers who turn in tickets do not turn in tickets the following week. This means that 60% of the customers who turn in tickets will turn in tickets again the following week.

30% of the customers who do not turn in tickets will turn in tickets the following week. This means that 70% of the customers who do not turn in tickets will continue not turning in tickets the following week.

Based on these percentages, we can construct the steady matrix:

java

Copy code

     |  Customers turning in tickets (X) | Customers not turning in tickets (Y) |

----------|----------------------------------|--------------------------------------|

Next week 0.6 0.3

This week 0.4 0.7

Interpreting the steady matrix:

The value 0.6 in the top left cell represents the proportion of customers who turn in tickets this week and will turn in tickets again next week.

The value 0.3 in the top right cell represents the proportion of customers who turn in tickets this week but will not turn in tickets next week.

The value 0.4 in the bottom left cell represents the proportion of customers who do not turn in tickets this week but will turn in tickets next week.

The value 0.7 in the bottom right cell represents the proportion of customers who do not turn in tickets this week and will continue not turning in tickets next week.

These values describe the transition probabilities between the two customer groups. For example, if there are 100 customers in total, 60 of them will turn in tickets next week, and 40 of them will not. Similarly, 30 customers who turn in tickets this week will not do so next week, while 70 customers who do not turn in tickets this week will continue to not turn them in next week.

The steady matrix provides a snapshot of the probabilities of transitioning between the two states (turning in tickets or not turning in tickets) in the long run, assuming these probabilities remain constant over time.

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Answer:

the circumfrence is the diameter times pi so if the diameter was 3 you would time that by 3.14 to get the circumfrence hope that helps

Step-by-step explanation:

The circumference of the scaled copy is half the circumference of the original circle.

The area of the scaled circle is half the area of the original circle.

A scale factor is defined as the ratio between the scale of a given original object and a new object,

We have,

Let the radius of the circle = r

The circumference of the circle = 2πr

The area of a circle = πr²

Now,

Scale factor = Original circle / Scaled circle

Now,

Scale factor = 2

2 = Circumference of the Original circle / Circumference of the Scaled circle

Circumference of the Scaled circle = (1/2) Circumference of the Original circle

Again,

Scale factor = 2

2 = Area of the Original circle / Area of the Scaled circle

Area of the scaled circle = (1/2) Area of the original circle

Thus,

The circumference of the scaled copy is half the circumference of the original circle.

The area of the scaled circle is half the area of the original circle.

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Explanation:

We are told that the 4866 stamps are divided into six stamp books.

Number of stamps per book = 4866/6 = 811

Answer: 811

The correct statement about the relationship between the IRR and the MIRR is that a typical firm’s IRR will be less than its MIRR.

To calculate the MIRR, we need to find the future value of the positive cash flows at the end of year 4, using the reinvestment rate equal to the WACC. We can then find the discount rate that equates the present value of the initial investment with the future value of the negative cash flows and the positive future value of the positive cash flows.

Using the financial calculator or spreadsheet software, we can find that the future value of the positive cash flows is $698,711.27, and the MIRR is 27.46%.

Therefore, the MIRR is 27.46%, and based on the MIRR criterion, the project should be accepted if the required rate of return is less than 27.46%.

The correct statement about the relationship between the IRR and the MIRR is that a typical firm’s IRR will be less than its MIRR. This is because the IRR assumes that positive cash flows are reinvested at the IRR, which may not be realistic, while the MIRR assumes that positive cash flows are reinvested at the WACC, which is usually more realistic.

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All sides of a rhombus have equal measures, so TU = 8. Since a rhombus is a parallelogram, and the diagonals of a parallelogram bisect each other, WU = 10. The diagonals of a rhombus are also perpendicular, meaning they form right angles. Using the Pythagorean theorem, you can find the length of TX. (TX)^2 + (WX)^2 = (WT)^2. Substituting in known values, (TX)^2 + 25 = 64. Solving gives you TX = the square root of 39. TV is double the length of TX, so TV = 2 times the square root of 39.

The domain of the composite functions:

a). (f + g)(-2) = 23

b). (f - g) (-2) = 1

c). f(x) - g(x) = x² - 5x - 13

A function is composite when the co- domain of the first mapping is the domain of the second mapping

Given the functions f(x) = x² - 4x and g(x) = x + 13, we shall evaluate the domains of the functions as follows:

a). (f + g)(-2) = (-2)² - 4(-2) + (-2) + 13

(f + g)(-2) = 4 + 8 - 2 + 13

(f + g)(-2) = 23

b). (f - g) (-2) = (-2)² - 4(-2) - (-2) - 13

(f - g)(-2) = 4 + 8 + 2 - 13

(f - g) (-2) = 1

c). f(x) - g(x) = x² - 4x - x - 13

f(x) - g(x) = x² - 5x - 13

Therefore, the domain of the composite functions:

a). (f + g)(-2) = 23

b). (f - g) (-2) = 1

c). f(x) - g(x) = x² - 5x - 13

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a) The sum of the measures of the interior angles of the regular nonagon is given by S₉ = 1260°

b) The measure of each interior angle of the regular nonagon is a = 140°

c) The measure of each exterior angle of the regular nonagon​ is b = 40°

Given data ,

Sum of the measures of the interior angles of a regular nonagon:

The Polygon Interior Angle Sum Theorem states that the sum of the measures of the interior angles of a polygon with n sides is given by the formula:

Sum of interior angles = (n - 2) * 180°

For a nonagon, which has 9 sides, we can plug in n = 9 into the formula:

Sum of interior angles = (9 - 2) * 180

Sum of interior angles = 7 * 180

Sum of interior angles = 1260°

So, the sum of the measures of the interior angles of a regular nonagon is 1260°

Measure of each interior angle of a regular nonagon:

Since a regular nonagon has 9 sides, we can divide the sum of the interior angles (which we calculated as 1260 degrees) by the number of sides to find the measure of each interior angle:

Measure of each interior angle = Sum of interior angles / Number of sides

Measure of each interior angle = 1260 / 9

Measure of each interior angle = 140°

So, the measure of each interior angle of a regular nonagon is 140°

Measure of each exterior angle of a regular nonagon:

The Polygon Exterior Angle Sum Theorem states that the sum of the measures of the exterior angles of a polygon with n sides is always 360°

Since a regular nonagon has 9 sides, we can divide 360 degrees by the number of sides to find the measure of each exterior angle:

Measure of each exterior angle = 360 / Number of sides

Measure of each exterior angle = 360 / 9

Measure of each exterior angle = 40°

Hence , the measure of each exterior angle of a regular nonagon is 40°

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Answer:

Vertex: (-2, 3)

Step-by-step explanation:

We first have to find the x - variable of the vertex point.

The formula to find the x - variable is x = -b/ 2a.

\(3x^{2} + 12x + 15\)

a        b        c

Substitute the values into the formula.

x = - 12 / 2(3)

x = - 12 / 6

x = - 2       < - This is the x - variable

Now we have to find the y - variable of the vertex point.

To find the y - variable, we have to substitute the x value into the original equation (\(3x^{2} + 12x + 15\)).

g(x) = y    

\(y = 3(-2)^{2} + 12(-2) + 15\\\)

\(y = 3(4) - 24 + 15\)

\(y = 12 - 24 + 15\)

\(y = - 12 + 15\)

\(y = 3\)

So, now that we have the x and y values, we can find the vertex which is (-2, 3).

Hope this helps!

The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).

To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.

1. Find the derivative of the function:

  y' = 3x² - 6x - 9

2. Set the derivative equal to zero and solve for x:

  3x² - 6x - 9 = 0

3. Factorize the quadratic equation:

  3(x² - 2x - 3) = 0

4. Solve the quadratic equation by factoring or using the quadratic formula:

  (x - 3)(x + 1) = 0

  This gives us two possible values for x: x = 3 and x = -1.

5. Substitute these critical points back into the original function to find the corresponding y-values:

  For x = 3:

  y = (3)³ - 3(3)² - 9(3) + 4

    = 27 - 27 - 27 + 4

    = -23

  For x = -1:

  y = (-1)³ - 3(-1)² - 9(-1) + 4

    = -1 - 3 + 9 + 4

    = 9

6. Therefore, the turning points are (3, -23) and (-1, 9).

Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.

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given that m is parallel to n,

the angle opposite (2x + 16)° is also (2x + 16)° as vertically opposite angles are equal.

using the corresponding angle rule we know that:

2x + 16 = 96

2x = 80

so x = 40

The length of the arc defined by the central angle of 312 degrees is 26π cm.

The formula for the arc length of a circle is given by:

L = (θ/360) × 2πr

where L is the length of the arc, θ is the central angle in degrees, and r is the radius of the circle.

Substituting the given values, we get:

L = (312/360) × 2π(30)

L = (26/30) × π × 30

L = 26π cm

Therefore, the length of the arc defined by the central angle of 312 degrees is 26π cm.

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By using compound interest formula, we conclude that Sophie deposited $16,638 (rounded to the nearest whole number) into the account.

Compound interest is a method of calculating interest on a principal amount of money, where the interest earned on the initial principal is added to the principal at the end of each compounding period (usually monthly, quarterly, or annually).

We can use the formula for compound interest to solve this problem. The formula is:

\(A = P(1 + r/n)^{(nt)\)

Where:

A = the total amount in the account

P = the principal (initial deposit)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

We know the values for A, r, n, and t, so we can solve for P:

\(A = P(1 + r/n)^{(nt)\)

\(22,099.87 = P(1 + 0.022/2)^{(2*13)\)

\(22,099.87 = P(1.011)^{26\)

22,099.87 = 1.329P

P = 22,099.87 / 1.329

P = 16,637.55

Therefore, Sophie deposited $16,638 (rounded to the nearest whole number) into the account.

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