What is the value of u?
Please help.

​

Answer:

x = 7/2  (or 3 1/2  or 3.5)

Step-by-step explanation:

2x + 5 = 12

2x = 7

x = 7/2  (or 3 1/2  or 3.5)

Answer:

3 or 3.5

Step-by-step explanation:

2(3)+5=12

6+5=12

Or

When you want to find x:

2x+5=12

-5=-5

2x=7

2/2x=7/2

3.5x

The average of the sample ranges for the weight of packages of Skittles is 0.11. So, the correct answer is (e) 0.11.

To find the average of the sample ranges for the weight of packages of Skittles, we first calculate the range for each sample. The range is the difference between the maximum and minimum values in each sample.

Sample 1: Range\(= 3.62 - 3.58 = 0.04\)

Sample 2: Range\(= 3.65 - 3.49 = 0.16\)

Sample 3: Range \(= 3.65 - 3.45 = 0.20\)

Sample 4: Range \(= 3.64 - 3.54 = 0.10\)

Sample 5: Range\(= 3.62 - 3.49 = 0.13\)

Next, we calculate the average of these sample ranges:

A\(verage = (0.04 + 0.16 + 0.20 + 0.10 + 0.13) / 5 = 0.11\)

Therefore, the average of the sample ranges for the weight of packages of Skittles is \(0.11\). So, the correct answer is (e) \(0.11.\)

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Yes, y = e^xy  is an implicit solution of the differential equation

(1-xy)y'=y^2

Here,

The differential equation (1-xy)y' = y^2

And,  y = e^xy is an implicit solution of the differential equation

(1-xy)y'=y^2.

What is Differential equation?

A differential equation is a mathematical equation that relates some function with its derivatives.

Now,

To show y = e^xy is an implicit solution of the differential equation

(1-xy)y'=y^2, we have to find the solution of differential equation.

The differential equation is;

\((1-xy)y'=y^2\\\\\\\\\)

\((1-xy) \frac{dy}{dx} = y^2\)

\(\frac{dx}{dy} + \frac{x}{y} = \frac{1}{y^{2} }\)

It is form of  \(\frac{dx}{dy} + Px = Qy\),

Where, P is the function of y and Q is the function of x.

Hence, Integrating factor = \(e^{\int\limits {\frac{1}{y} } \, dy} = e^{lny} = y\)

The solution is;

\(x y = \int\limits {\frac{1}{y^{2} }y } \, dy + c\)

\(xy = lny + c\)

Take c = 0, we get;

\(xy = lny\\\\y = e^{xy}\)

Hence, y = e^xy  is an implicit solution of the differential equation

(1-xy)y'=y^2

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Answer:

20/24

Step-by-step explanation:

If you simplify, you get 5/6.

The correct graph is:

o----->--------------->

-10 -5 0 5 10

where the open circle is at 42 and the line is shaded to the right of the circle.

The inequality given is x + 3 > 45. To solve for x, we need to isolate x on one side of the inequality. We can do this by subtracting 3 from both sides:

x > 42

This means that all values of x that are greater than 42 satisfy the inequality. To represent this on a number line, we can draw an open circle at 42 and shade the line to the right of the circle to indicate that all values greater than 42 are included.

Looking at the options given, the only graph that shows an open circle at 42 and a shaded line to the right of the circle is option C.

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Answer:

a) 7:4

b) 6:3

c) 4:2

d) 6:2

e) 4:3

f) 4:4

Answer:

a) 7:4

b) 6:3

c) 4:2

d) 6:2

e) 4:3

f) 4:4

Step-by-step explanation:

Determine the number of consonants and vowels, then turn them into ratios.

Answer:

a

Step-by-step explanation:

if its the same one i saw, the answer is a :)

Answer:

3.5 m

Step-by-step explanation:

PQ = 5/(5+5) × 7

= 5/10 × 7

= 3.5 m

The missing measurement of this right triangle is x=2√14

Answer:

1. Fill in the box with 1

2. Fill in the box with -2

Step-by-step explanation:

Expression:

\((-2x^3 + [\ ]x)(x^{[\ ]}+1.5) = A\)

Solving (1): Fill in the box to make it a polynomial.

To make it a polynomial, we simply fill in the box with a positive integer (say 1)

Fill in the box with 1

\((-2x^3 + [1]x)(x^{[1]}+1.5) = A\)

Remove the square brackets

\((-2x^3 + x)(x^1+1.5) = A\)

\((-2x^3 + x)(x+1.5) = A\)

Open bracket

\(-2x^4 - 3x^3 + x^2 + 1.5x = A\)

Reorder

\(A = -2x^4 - 3x^3 + x^2 + 1.5x\)

The above expression is a polynomial.

This will work for any positive integer filled in the box

Solving (2): Fill in the box to make it not a polynomial.

The powers of a polynomial are greater than or equal to 0.

So, when the boxes are filled with a negative integer (say -2), the expression will cease to be a polynomial

Fill in the box with -2

\((-2x^3 + [-2]x)(x^{[-2]}+1.5) = A\)

Remove the square brackets

\((-2x^3 - 2x)(x^{-2}+1.5) = A\)

Reorder

\(A = (-2x^3 - 2x)(x^{-2}+1.5)\)

Open brackets

\(A = -2x-3x^3-2x^{-1}-3x\)

Collect Like Terms

\(A = -3x^3-2x-3x-2x^{-1}\)

\(A = -3x^3-5x-2x^{-1}\)

Notice that the least power of x is -1.

Hence, this is not a polynomial.

Solution:

We are required to determine which is a geometric sequence.

Firstly, let us look at what a Geometric sequence is .

In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

In summary, a Geometric sequence has a common ratio.

Let us take a look at the options one after the other

A. -5,0,10,25,45

B. 1,2,4,8,16

C.-3,1,5,9

D. 4,8,24,96,480

Thus, the answer is B. 1,2,4,8,16

It will take approximately 39.532 days for $9500 to earn $800 at an annual interest rate of 8.25%.

To find the number of days it will take for $9500 to earn $800 at an annual interest rate of 8.25%, we need to use the formula for simple interest:

Interest = Principal * Rate * Time

In this case, we are given the interest ($800), the principal ($9500), and the annual interest rate (8.25%). We need to solve for time.

Let's denote the time in years as "t". Since we're looking for the number of days, we'll convert the time to a fraction of a year by dividing by 365 (assuming a standard 365-day year).

$800 = $9500 * 0.0825 * (t / 365)

Simplifying the equation:

800 = 9500 * 0.0825 * (t / 365)

Divide both sides by (9500 * 0.0825):

800 / (9500 * 0.0825) = t / 365

Simplify the left side:

800 / (9500 * 0.0825) ≈ 0.1083

Now, solve for t by multiplying both sides by 365:

0.1083 * 365 ≈ t

t ≈ 39.532

Therefore, it will take approximately 39.532 days for $9500 to earn $800 at an annual interest rate of 8.25%.

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The given integral can be expressed as the limit of Riemann sums using the right endpoints. The expression involves dividing the interval into n subintervals.

The limit as n approaches infinity represents the Riemann sum becoming a definite integral.

To express the integral as a limit of Riemann sums using right endpoints, we divide the interval [a, b] into n subintervals of equal width, where a = 4, b = 8, and n represents the number of subintervals. The width of each subinterval is Δx = (b - a) / n.

Next, we evaluate the function f(x) = 5 +\(x^2\) at the right endpoint of each subinterval. Since we are using right endpoints, the right endpoint of the ith subinterval is given by x_i = a + i * Δx.

The Riemann sum is then expressed as the sum of the areas of the rectangles formed by the function values and the subinterval widths:

R_n = Σ[f(x_i) * Δx].

Finally, to obtain the definite integral, we take the limit as n approaches infinity:

∫[a, b] f(x) dx = lim(n→∞) R_n = lim(n→∞) Σ[f(x_i) * Δx].

The limit of the Riemann sum as n approaches infinity represents the definite integral of the function f(x) over the interval [a, b].

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Answer:

x = -7

Step-by-step explanation:

We are looking for the x value when f(x) = -3. From the table, we see that when f(x) = -3, x = -7. Therefore, our answer is the 1st option.

Answer: The answer is C (x-3)(y+5) as x to the left is - 3 and y + 5 means that it is translated up!

Step-by-step explanation:

Hope it helped!

Answer:

C

Step-by-step explanation:

On a coordinate plane x is horizontal and y is vertical. On the left side of a plane it is a negative on right it's positive.

Answer:

AC=8

Step-by-step explanation:

2x=2(8)

2x=16

x=16÷2

x=8

The point of concurrency of the altitudes of a triangle is called the orthocenter.

The orthocenter is the intersection point of the three altitudes of a triangle. An altitude is a line segment drawn from a vertex of a triangle perpendicular to the opposite side. The altitudes of a triangle can intersect inside, outside, or on the triangle itself. When they intersect, the point of intersection is the orthocenter. The orthocenter plays an important role in triangle geometry and has several interesting properties. For example, it is always inside an acute triangle, outside an obtuse triangle, and on a right triangle's vertex. It is also the center of symmetry for the triangle's circumcenter and is related to the triangle's Euler line. The orthocenter is a key point that helps define and analyze various geometric properties and relationships within a triangle.

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The probability that at least two of the 14 bits are 1 is approximately 0.9658 if a sequence of 14 bits is randomly generated.

Sequence number = 14

favourable outcome = 1

we can use the complement rule to calculate the probability that at least two of the 14 bits are 1.

The probability of a single bit 1 = 1/2

The probability of a single bit 0 = 1/2.

The probability that a single bit is not 1 =  \((\frac{1}{2}) ^{14}\)

The probability that exactly one bit is 1 =  \(14*(\frac{1}{2} ^{14} )\)

Therefore, the probability that at least two of the 14 bits are 1 is:

probability  = 1 - \((\frac{1}{2} ^{14} ) - 14*(\frac{1}{2} ^{14} )\)

probability  = 1 - \(15*( \frac{1}{2} ^{14} )\)

probability  = 0.9658

Therefore we can conclude that the probability that at least two of the 14 bits are 1 is approximately 0.9658.

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Solution:

Given:

Assuming 365days make a year;

Using the compound interest formula,

Therefore, after 3years, the investment results in $616.83

a. The probability that he must stop at both signals is 0.2.b. The probability that he must stop at the first signal but not at the second one is 0.2.

c. The probability that he must stop at exactly one signal is 0.5.

a. The probability that he must stop at both signals is equal to the product of the individual probabilities of stopping at each signal, which is 0.4 x 0.5 = 0.2.

b. The probability that he must stop at the first signal but not at the second one is equal to the probability of stopping at the first signal only, which is 0.4.  

c. The probability that he must stop at exactly one signal is equal to the sum of the probability of stopping at the first signal and the probability of stopping at the second signal, which is 0.4 + 0.5 = 0.5.

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Answer:

most likely next spring

Step-by-step explanation:

Step-by-step explanation:

Use the Horizontal Line Test. If no horizontal line intersects the graph of the function f in more than one point, then the function is 1 -to- 1 . A function f has an inverse f−1 (read f inverse) if and only if the function is 1 -to- 1 .

The total interest you will earn in 30 years is approximately $241.61.

To calculate the total interest earned in 30 years, we need to use the formula for compound interest:
A = P(1 + r/n)^(nt) - P
Where:
A = the future value of the investment
P = the principal amount (initial deposit)
r = the annual interest rate (in decimal form)
n = the number of times the interest is compounded per year
t = the number of years
In this case, the principal amount is $200, the annual interest rate is 3% (or 0.03 as a decimal), the interest is compounded monthly (so n = 12), and the time period is 30 years (so t = 30).
Plugging in these values into the formula:
A = 200(1 + 0.03/12)^(12*30) - 200
Now we can simplify and calculate:
A = 200(1.0025)^(360) - 200
A = 200(2.208040033) - 200
A ≈ 441.6080066 - 200
A ≈ 241.6080066

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The value of the union of sets A and B is, P(A ∪ B) is 0.64.

The union of two sets means the total elements in both the sets combined.

Given: sets P(A) = 0.38, P(B) = 0.83, and  intersection P(A ∩ B) = 0.57

We need to find the union of P(A ∪ B).

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

Let us substitute the given values in the formula.

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

=0.38+0.83-0.57

=1.21-0.57

=0.64

Therefore, the value of union of sets P(A ∪ B) is 0.64.

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The perimeter of ABC is approximately 8.83 units.

On the coordinate plane, the distance formula can be used to find the length of each side of the equilateral triangle ABC with vertices A(-1,5), B(2,8), and C(x,y) where x and y are unknown coordinates.

First, we need to find the distance between A and B. Using the distance formula:

AB = sqrt((2 - (-1))^2 + (8 - 5)^2) = sqrt(3^2 + 3^2) = sqrt(18)

Since ABC is an equilateral triangle, all sides have the same length. Therefore, AC and BC must also have length sqrt(18).

Now, we need to find the coordinates of point C. We know that AC and BC are both of length sqrt(18), and they meet at point C. This means that C must be located on the circle with center A and radius sqrt(18), as well as on the circle with center B and radius sqrt(18).

The intersection points of these two circles will be the possible coordinates for point C. Solving for x and y, we get:

A circle: (x + 1)^2 + (y - 5)^2 = 18
B circle: (x - 2)^2 + (y - 8)^2 = 18

Solving these two equations simultaneously, we get two possible values for C:

C1: (-2, 8)
C2: (5, 5)

Both of these points are equidistant from A and B, and they satisfy the condition of being on the circles with centers A and B, and radii sqrt(18).

Now that we have found the coordinates of point C, we can find the length of AC and BC using the distance formula:

AC = sqrt((-2 - (-1))^2 + (8 - 5)^2) = sqrt(10)
BC = sqrt((5 - 2)^2 + (5 - 8)^2) = sqrt(10)

Therefore, the perimeter of equilateral triangle ABC is:

AB + AC + BC = sqrt(18) + sqrt(10) + sqrt(10) = sqrt(18) + 2sqrt(10) ≈ 8.83

So, the perimeter of ABC is approximately 8.83 units.

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Since the distance from station 20 60 to station 12 80. Then, The speed of the train is 60km/hr.

Given,

Distance between two stations = 240 km/hr.

Time taken by the train = 4 hours.

Speed:

The velocity of an object (usually denoted v) is the amount of its position change over time or per unit time; it is therefore a scalar quantity. The average speed of an object over a time interval is the distance traveled by the object divided by the duration of the interval; the instantaneous speed is the limit of the average speed as it approaches zero over the duration of the interval interval. Velocity is not the same as velocity.

From, the relation, we know that:

Speed = Distance/ Time

So, the speed of the train is :

Speed = 240km/ 04 hours

           = 60 km/hour.

Complete Question:

The distance between the two stations is 240 km. A train takes 04 hours to cover this distance. Calculate the speed of the train.

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F. The graph of g(x) is translated 6 units to the right compared to the graph of f(x)

Answer:

2x-3+8v

Step-by-step explanation:

Answer:

Assuming we are simplifying, it should be 2x+5

Step-by-step explanation:

Combine like terms.

8-3 is 5

4x-2x is 2x

So yeah