ERROR ANALYSIS Describe and correct the error in finding the circumference of OC. X 9 in. с C= 2 Tr = 2π(9) =18ain.
Please show work.​

The components of each vector is :

u = (0,2)

v= (-4.9149, -3.4416)

Magnitude = 5.1

Direction = 196 deg

To find the magnitude and direction of the sum

.The magnitude and direction of the sum of two or more vectors can be calculated with vector addition.

To get the magnitude of the sum of two vectors (A and B), you can use the Pythagorean theorem: |C| = sqrt(A^2 + B^2 + 2ABcosθ).

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The new profit-sharing ratio is as follows:

Mazibuko's share: Vogel's share = 5: 8

Let's begin by determining the share of profits that each member of the original partnership—Vogel and Mazibuko—receives :

Vogel's share 1/(1+3) = 1/4

Share of Mazibuko: 3/(1+3) = 3/4

Let's now evaluate the new alliance with Malikane. The remaining 5/6 of the profits are divided between Vogel and Mazibuko in accordance with their prior profit-sharing ratio because Malikane receives a 1/6 part of the profits.

As a result, Vogel and Mazibuko share in the following profits from the new partnership:

Share for Vogel: (1/4) * (5/6) = 5/24

Share for Mazibuko: (3/4) * (5/6) = 15/24 = 5/8

The new profit-sharing ratio is as follows:

Mazibuko's share: Vogel's share = 5: 8

So, Vogel obtains 5 of the profits from the new partnership's 13 shares, whereas Mazibuko receives 8 of the income from the 13 shares.

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According to the situation in the graph, the three inequalities will be: 7x + 2y < 40, y ≥ 4, x ≥ 2, where x is the wing packages and y is the hot dogs per pound.

Let x be the number of wing packages and y be the number of pounds of hot dogs.

Then the inequality equation is,

7x + 2y < 40

Inequality to represent at least 4 pounds of hot dogs,

y ≥ 4

Inequality to represent at least 2 packages of wings,

x ≥ 2

To graph it,

The graph will give the region that satisfies all the conditions and the shaded region represents the feasible region.

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The balloon’s vertical distance above the ground will be 721.7 feet.

Given that:

Lan measures a 30° dip to a point that is 1250 feet distant from a hot air balloon while measuring horizontally.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The vertical height of the air balloon is calculated as,

tan 30° = h / 1250

h = 1250 x tan 30°

h = 721.7 feet

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The height of the triangle is, 22 units.

WE know that triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that the area of a triangle is 154 square inches. The base is 14 inches.

Now, We get;

Base = 14 units

Height =h units

We know that;

Area of triangle = 1/2 x base x height

                 154       = 1/2 x 14 x h

              h = 154 / 7

              h = 22

Thus, The height is, 22 units.

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The value of the given expression is 16.

The expression we are interested in is:

logₐ  ((x²y)/(z³))

To simplify this expression, we can use the properties of logarithms. In particular, we can use the fact that the logarithm of a quotient is equal to the difference of the logarithms of the numerator and denominator. Similarly, the logarithm of a power is equal to the product of the logarithm of the base and the exponent.

Using these properties, we can rewrite the expression as follows:

log ₐ ((x²y)/(z³)) = log ₐ (x²) + log ₐ (y) - log ₐ (z³)

Now, we can substitute the given values of the logarithms of x, y, and z:

log ₐ (x²) = 2 log ₐ (x) = 2 * 5 = 10 log ₐ (y) = 3 log ₐ (z³) = 3 log ₐ (z) = 3 * (-1) = -3

Substituting these values back into the expression, we get:

log ₐ ((x²y)/(z³)) = 10 + 3 - (-3) = 16

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The answer is C. 60(x-3)=45x. This equation is based on the information that the 45 expensive wood costs $3.00 more than the 60 cheap wood. In other words, if the price of the 60 cheap wood is x, the price of the 45 expensive wood is x + 3.

Algebra involves working with numbers, equations, and variables to solve real-world problems and understand abstract relationships.

To solve this equation, we must use algebra and solve for x. First, we multiply both sides of the equation by 4/5. This gives us:

48x + 36 = 45x

-36 = 3x

Finally, we divide left side of the equation by 3, giving us the final solution:

x = -12

Therefore, the price of the 60 cheap wood is $12, and the price of the 45 expensive wood is $15. This equation shows the correct relationship between the two types of wood that the contractor purchased.

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The exact values of sin(x/2), cos(x/2), and tan(x/2) are:

Sin (x/2) = √ [ 2 - √2)/4 ]

cos (x/2) = √[ (2 + √2)/4 ]

Tan (x/2) = √[ (2 + √2)]/ √[ (2 + √2)]

The tangent of an angle in a right triangle is the ratio of the length of the side opposite the angle to the length of the adjacent side.

The tangent of an angle can be expressed in terms of the sine and cosine of the same angle using the identity: tan(x) = sin(x) / cos(x)

Here we have

tan x = 1

If tan(x) = 1, we can determine the values of sin(x) and cos(x) using the identity:

=> tan² (x) + 1 = sec² (x)

Substituting tan(x) = 1, we get:

1 + 1 = sec²(x)

2 = sec²(x)

sec(x) = √2

As we know sec(x) = 1/cos(x), so:

=> cos(x) = 1/sec(x) = 1/√2 = √2/2

Similarly, sin(x) = tan(x) × cos(x) = 1 × √2/2 = √2/2

Use the half-angle identities to find sin(x/2), cos(x/2), and tan(x/2):

=> sin(x/2) = ±√[(1 - cos(x))/2 ]

= ± √[(1 - √2/2)/2]

= ± √ [ 2 - √2)/4 ]

Since tan(x) = 1 is positive, we know that x is in the first quadrant, which means x/2 is also in the first quadrant.

Therefore, sin(x/2) is positive, so:

sin(x/2) = √ [ 2 - √2)/4 ]

cos(x/2) = ±√[ (1 + cos(x))/2]

= ±√ [ (1 + √2 /2)/2]  

= ± √[ (2 + √2)/4 ]

Since x/2 is in the first quadrant, cos(x/2) is also positive, so:

cos(x/2) = √[ (2 + √2)/4 ]

Finally, we can find tan(x/2) using the identity:

tan(x/2) = sin(x/2) / cos(x/2)

tan(x/2) = √[ (2 + √2)/4 ]/ √[ (2 + √2)/4 ]

tan (x/2) = √[ (2 + √2)]/ √[ (2 + √2)]

Therefore,

The exact values of sin(x/2), cos(x/2), and tan(x/2) are:

Sin (x/2) = √ [ 2 - √2)/4 ]

cos (x/2) = √[ (2 + √2)/4 ]

Tan (x/2) = √[ (2 + √2)]/ √[ (2 + √2)]

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[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$ 12000\\ P=\textit{original amount deposited}\dotfill & \$80000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &1 \end{cases} \\\\\\ 12000 = (80000)(\frac{r}{100})(1) \implies \cfrac{12000}{80000}=\cfrac{r}{100} \\\\\\ \cfrac{3}{20}=\cfrac{r}{100}\implies \cfrac{300}{20}=r\implies \stackrel{ \% }{15}=r[/tex]

The calculated value of the area of the shape is 84.78 square units

From the question, we have the following parameters that can be used in our computation:

The three quarter circle

The area of the shape is then calculated as

Area = 3/4 * πr²

Where

Radius, r = 6 ( from the diagram)

substitute the known values in the above equation, so, we have the following representation

Area = 3/4 * 3.14 * 6²

Evaluate

Area = 84.78

Hence, the area is 84.78 square units

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Answer:

The surface area of the triangular prism is approximately 16.222 square feet, and the volume of the triangular prism is 12 cubic feet.

Step-by-step explanation:

formulas:

Surface Area = 2B + Ph

Volume = Bh

where B is the area of the triangular base, P is the perimeter of the base, h is the height of the prism, and B and h are both in the same units (inches, feet, etc.).

Given:

Height of the triangular prism = 1 foot

Base of the triangular prism = 6 inches

Height of the triangular base = 4 inches

Length of the other two sides of the triangular base = 5 inches

First, we need to find the area of the triangular base (B):

B = (1/2) x base x height

B = (1/2) x 6 inches x 4 inches

B = 12 square inches

Next, we need to find the perimeter of the triangular base (P):

P = sum of all three sides

P = 6 inches + 5 inches + 5 inches

P = 16 inches

Now, we can use the formulas to find the surface area and volume:

Surface Area = 2B + Ph

Surface Area = 2(12 square inches) + (16 inches)(1 foot)

Surface Area = 24 square inches + 16 square feet

Surface Area = 16.222 square feet (rounded to three decimal places)

Volume = Bh

Volume = 12 square inches x 1 foot

Volume = 12 cubic feet

Therefore, the surface area of the triangular prism is approximately 16.222 square feet, and the volume of the triangular prism is 12 cubic feet.

One possible rational function with the given characteristics is r(x) = 4 + (x + 9)(x + 2)(x - 4) / [(x - 3)(x + 5)].

In general, a function is a mathematical concept that defines a relationship between an input (or set of inputs) and an output (or set of outputs). It is a rule that takes an input value and produces a corresponding output value.

One possible rational function with the given characteristics is:

r(x) = 4 + (x + 9)(x + 2)(x - 4) / [(x - 3)(x + 5)]

Explanation:

The factor (x + 9) in the numerator makes the function cross the x-axis at x = -9.

The factor (x - 4) in the numerator makes the function touch the x-axis at x = 4.

The factors (x - 3) and (x + 5) in the denominator create vertical asymptotes at x = 3 and x = -5, respectively.

The factor (x + 2) in the numerator creates a hole at x = -2, since it cancels out the factor (x + 2) in the denominator.

Finally, the constant term 4 in the numerator and the absence of any higher degree terms in the numerator or denominator create a horizontal asymptote at y = 4.

Note that there may be other rational functions with the same characteristics, but this is one possible solution.

Therefore, One possible rational function with the given characteristics is r(x) = 4 + (x + 9)(x + 2)(x - 4) / [(x - 3)(x + 5)].

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Answer:

$585/month

Step-by-step explanation:

To determine how much money Mr. Smith has left over monthly to put into savings, we need to first calculate his monthly income and his monthly expenses, including taxes.

Mr. Smith's hourly rate is $20, and he works full time, which is typically 40 hours per week. Therefore, his weekly income is:

$20/hour x 40 hours/week = $800/week

To find his monthly income, we multiply his weekly income by the number of weeks in a month:

$800/week x 4 weeks/month = $3,200/month

To find his monthly expenses, we add up the amounts for his household and automobile expenses:

$1,410/month (household) + $405/month (automobile) = $1,815/month

Since Mr. Smith gets about 25% of his income taken out for taxes, we need to calculate the amount of taxes he pays each month:

$3,200/month x 0.25 = $800/month (taxes)

Now we can subtract his monthly expenses and taxes from his monthly income to find out how much money he has left over to put into savings:

$3,200/month - $1,815/month - $800/month = $585/month

Therefore, Mr. Smith has $585/month left over to put into savings after paying his expenses and taxes.

Im diying:(

dont be mean man

Answer:

Step-by-step explanation:

area of shaded region

[tex]=\pi r^2 \times\frac{121}{360} \\\\=\pi 8^2\times \frac{121}{360} \\=\frac{121 \pi }{45} \\\approx 8.447\\\approx 8.4~sq.~ft[/tex]

Answer:

Step-by-step explanation:

17

-7

-1

2

8

2

0

Answer:

8 - -9 = 17

-4 + -3 = -7

-8 - -7 = -1

-4 + 6 = 2

5 - -3 = 8

5 - 3 = 2

-6 - -6 = 0

Answer:  The answer is 21 because for X: 23 + 2 = 25, 25 + 3 = 28, 28 + 4 = 32 

Step-by-step explanation: Please give Brainlist.

Hope this helps.

I can answer more questions for brainlists.

Answer: D

Step-by-step explanation: Cuz i just know

To find the test statistic, we need to use the formula:

z = (p - P) / sqrt[(P * (1 - P)) / n]

where:

p = sample proportion = 15/20 = 0.75

P = hypothesized population proportion = 0.42

n = sample size = 20

Plugging in the values, we get:

z = (0.75 - 0.42) / sqrt[(0.42 * 0.58) / 20]

z = 2.11

Therefore, the test statistic is 2.11.

The simplest form of the radical expression (√2 + √3) / (√2 - √3) is -5 - 2√6.

Given the radical expression in the question;

(√2 + √3) / (√2 - √3)

To simplify the expression, we need to eliminate the radical in the denominator.

We can do this by multiplying both the numerator and denominator by the conjugate of the denominator, which is (√2 + √3):

[(√2 + √3) / (√2 - √3)] × [ (√2 + √3) / (√2 + √3) ]

= (2 + √6 + √6 + 3) / (2 - √9)

= (5 + 2√6) / (2 - 3)

= (5 + 2√6) / (-1)

= -5 - 2√6

Therefore, the simplified form is -5 - 2√6.

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The transformation that produce function g(x) from f(x) is that g(x) = 4 f(x).

Given graphs of f(x) and g(x).3

Both are v shaped graphs, which is probably modulus functions.

For the graph of f(x),

Vertex = (0, 0)

Other points = (-1, 1) and (1, 1)

For the graph of g(x),

Vertex = (0, 0)

Other points = (-1, 4) and (1, 4)

Here the coordinates can be related as,

(x, f(x)) transformed to (x, 4f(x))

So g(x) = 4 f(x).

Hence the transformation is g(x) = 4 f(x).

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A nurse is caring for a pediatric patient weighing 8.250 kilograms.

We will solve the problem of unit conversion. This time we will convert grams to kilograms as;

Recall that

[tex]{ \ 1 \ kilogram = 1,000 \ grams \ }[/tex]

8,250 grams = n kilograms

[tex]= 8,250 \grams \times \frac{1 \ kilogram}{1,000 \ grams} \ }\\= 8,250 \times 1 \ kilogram \\= 8.250 \ kilograms \ }}[/tex]

Thus, after the conversion process, the patient weight is 8.250 kilograms.

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Answer:

(x - 3)^2 = 8

x - 3 = + 2√2

x = 3 + 2√2

The values of x when the equation (x-3)² = 8 was solved is 3±2√2.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

solve  the equation means to find the value of x in the equation (x-3)² = 8.

To find the value of x, we following the steps below

Given equation = (x-3)² = 8.

Step 1:

Note: square root and square will cancel out.

Step 2

Hence, the values of x is 3±2√2.

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Answer:  1 cm

Step-by-step explanation:

To find the length of arc, multiply the fraction of the circle to the Circumference

Looks like:

[tex]\frac{part of circle}{whole circle} (2\pi r)[/tex]

r=3/[tex]\pi[/tex]

length = [tex]\frac{120}{360} (2\pi)\frac{3}{\pi }[/tex]              pi's cancel, now reduce

        = 2 cm

Answer:

Plot the points on the graphing calculator. Then generate an exponential regression model.

y = 14,220.322(.838^x)

After 10 years:

y = 14,220.322(.838^10) = 2,428.56

After 10 years, the value of the car is $2,428.56.

The volume of the family value box increases by approximately 44% compared to the regular box.

The volume of a rectangular box can be calculated as the product of its length, width, and height.

Let's assume the dimensions of the regular box are L, W, and H, and the dimensions of the family value box are 1.25L, W, and 1.15H, respectively.

The volume of the regular box is LWH, and the volume of the family value box is

(1.25L)(W)(1.15H) = 1.4375LWH.

To find the percentage increase in volume from the regular box to the family value box, we can use the following formula:

Percentage increase = (New value - Old value) ÷ Old value x 100%

In this case, the old value is the volume of the regular box, and the new value is the volume of the family value box. Therefore, the percentage increase in volume is:

(1.4375LWH - LWH) ÷ LWH x 100% ≈ 44%

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The correct question is:

A food company sells its cornflakes in boxes of two different sizes: the regular box and the family value box. For the family value box, the length of the box has been increased by 25% the height has been increased by 15% and the width remains the same. By what percentage does the volume of the box increase from the regular box to the value box? Round your answer to the nearest percent.

Using the simplification of an equation we can get the value of x to be,

x = 10 2/11.

Equations are mathematical statements with the equals (=) symbol and two algebraic expressions on either side. This illustrates the equality of the relationship between the expressions printed on the left and right sides. The formula LHS = RHS (left hand side equals right hand side) is utilised in all mathematical equations. To determine the value of an unknown variable that represents an unknown quantity, you can solve equations. A statement is not regarded as an equation if it has no "equal to" symbol. It'll be regarded as a term.

Here in the question,

The given equation is:

(x-4 8/11) + 1 9/11= 7 3/11

Simplifying it, we get:

(x - 52/11) + 20/11 = 80/11

Subtracting 20/11 from both sides:

x - 52/11 = 60/11

Adding 52/11 on both side:

x = 112/11

x = 10 2/11

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Answer:

A. The first one

Step-by-step explanation:

its just is

The number of months that it will take for the company to recover the investment is given as follows:

10.5 months.

The number of months that it will take for the company to recover the investment is obtained applying the proportions in the context of the problem.

The amount saved during the first year is of $40,000, hence the monthly amount is given as follows:

40000/12 = $3,333.33.

Hence the time needed to save $35,000 is given as follows:

t = 35000/3333.33

t = 10.5 months.

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it will take you approximately 31.4 seconds  to run around the baseball field at a rate of 9 feet per second.

The time it takes to run around the baseball field will depend on the distance around the field.

Assuming the field is a perfect circle and has a diameter of 90 feet (which is a common size for a baseball field).

The circumference of a circle with diameter 90 feet is:

C = πd = π(90) = 90π feet

To run around the perimeter of the baseball field, you will need to cover a distance of 90π feet.

Using the formula:

time = distance / rate

we can calculate the time it takes to run around the baseball field:

time = (90π feet) / (9 feet/second)

time = 10π seconds

time ≈ 31.4 seconds (rounded to the nearest tenth of a second)

Therefore, it will take you approximately 31.4 seconds (rounded to the nearest tenth of a second) to run around the baseball field at a rate of 9 feet per second.

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Answer:

87

Step-by-step explanation:

Step-by-step explanation:

4 ^x  = 1/64     take LOG of both sides

x log 4 =  log (1/64)

x = log(1/64) / log4  =  - 3