In right triangle ABC, m angle A=2x+20, m angle B=7x+7, and m angle C=90 find the value of x

Answer:

A TRANSLATION OF A GRAPH is its rigid movement, vertically or horizontally. On the left is the graph of the absolute value function. On the right is its translation to a "new origin" at (3, 4). y = |x|.

The zero of the function are the roots of the function

The zero of the function is 30

The equation of the function is given as:

\(f(x) = 2 -4\sin(x)\)

Set the function to 0

\(2 -4\sin(x) = 0\)

Subtract 2 from both sides of the equation

\(-4\sin(x) = -2\)

Divide both sides by -4

\(\sin(x) = 0.5\)

Take the arc sin of both sides

\(x = \sin^{-1}(0.5)\)

Solve for x

\(x =30\)

Hence, the zero of the function is 30

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Answer:

 x equals 7 times pi over 6 plus 2 times pi times n  and  x equals 11 times pi over 6 plus 2 times pi times n

Step-by-step explanation:

The person who asked the question forgot to show the options which are:

x equals pi over 6 plus 2 times pi times n  and  x equals 5 times pi over 6 plus 2 times pi times n

 x equals 7 times pi over 6 plus 2 times pi times n  and  x equals 11 times pi over 6 plus 2 times pi times n

 x equals pi over 3 plus 2 times pi times n  and  x equals 5 times pi over 3 plus 2 times pi times n

 x equals 2 times pi over 3 plus 2 times pi times n  and  x equals 4 times pi over 3 plus 2 times pi times n

I hope this helped you! :)

Answer:

Step-by-step explanation:

2 rows, 3 columns

The applied overhead cost for job 201 is $36,000 and total cost for job 201 under direct materials cost as allocation base is $86,000.

Allocation base is a technique utilized in accounting to designate the cost of something to its use or product to recognize the price of the finished product.

Example provides the total overhead cost at $120,000 for the period, the base data of $100,000 direct material cost and 500 direct labor hours. The base data are used to calculate the predetermined factory overhead rate, which is used to apply overhead costs to work in progress.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the base data. The predetermined factory overhead rate is multiplied by the actual activity in the allocation base to obtain the applied overhead cost.

Direct materials cost as allocation base $30,000 is the actual direct material cost used in job 201. The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct material cost, which is $120,000/$100,000=120%.

The applied overhead cost for job 201 is $30,000*120% = $36,000.

Total cost for job 201 under direct materials cost as allocation base is $30,000+$20,000+$36,000 = $86,000.

-Direct labor cost as allocation base:

The actual direct labor cost used in job 201 is $20,000. The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct labor cost, which is $120,000/$100,000=120%.

The applied overhead cost for job 201 is $20,000*120% = $24,000.

Total cost for job 201 under direct labor cost as allocation base is $30,000+$20,000+$24,000 = $74,000.

-Direct labor hours as allocation base:

The actual direct labor hours used in job 201 is 400 hours.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct labor hours, which is $120,000/500 hours = $240 per hour.The applied overhead cost for job 201 is $240*400 hours = $96,000.

Total cost for job 201 under direct labor hours as allocation base is $30,000+$20,000+$96,000 = $146,000.

-Physical output as allocation base: The actual output in units completed for job 201 is 2,000 shirts.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the output in units, which is $120,000/10,000 units = $12 per unit.

The applied overhead cost for job 201 is $12*2,000 units = $24,000.Total cost for job 201 under physical output as allocation base is $30,000+$20,000+$24,000 = $74,000.

-Machine hours as allocation base: The actual machine hours used in job 201 is 240 hours.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the machine hours, which is $120,000/5,000 hours = $24 per hour.

The applied overhead cost for job 201 is $24*240 hours = $5,760.

Total cost for job 201 under machine hours as allocation base is $30,000+$20,000+$5,760 = $55,760.

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Answer:

câu này là 500 nhen

Answer:

Answers below!

Step-by-step explanation:

7m = 7000mm

3.4cm = 34mm

78cm = 780mm

0.46m = 460mm

The system of equations as an augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

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

x                  = 100

   -5m  - 7c  = 350

   -5m  - 9c  = 200

The above means that the variables in the system of equations are

x, m and c

So, we have the following representation

x    m     c        

1    0      0        100

0   -5    -7        350

0   -5    -9        200

When represented as an augmented matrix, we have

\(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

Hence, the augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

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Answer:

$1000

Step-by-step explanation:

Inverse operation

2100-100=2000

2000/2=1000

Sorry if its wrong but hope this helpssss

The difference between the interquartile range of Matt's remaining vacation days an Linda's remaining vacation days is given as follows:

-3.5.

The interquartile range of a data-set is given by the difference of the third quartile by the first quartile of the data-set.

Matt's ordered data-set is given as follows:

5, 9, 11, 12.

Hence the quartiles are:

Hence the IQR is of:

IQR = 11.5 - 7 = 4.5.

Linda's ordered data-set is given as follows:

0, 6, 9, 13.

The quartiles aret

The IQR is of:

IQR = 11 - 3 = 8.

Hence the difference is of:

4.5 - 8 = -3.5.

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Answer:

900 meters long

Step-by-step explanation:

Toby is riding his bicycle at 15 m/s. If it takes him 60 seconds to get to the end of the street. What was the length of the street?

at 15 meters per second for 60 seconds:

= time * speed

60* 15= 900 meters traveled,

so the street is 900 meters long.

Answer:

900 kg

Step-by-step explanation:

Let's assume the cost price (C.P.) of sugar is Rs. x per kg.

The total quantity of sugar is 1500 kg.

Let the quantity of sugar sold at 8% profit be represented by y kg.

The quantity of sugar sold at 18% profit would then be (1500 - y) kg.

Using the rule of alligation, we can set up the following proportion:

(8% profit) y kg

-------------- = ------

(18% profit) (1500 - y) kg

Simplifying the proportions, we find that the difference in percentages is 4% (18% - 14% = 4%) and 6% (14% - 8% = 6%).

The ratio of these differences is 2:3.

This means that for every 2 kg of sugar sold at 8% profit, 3 kg of sugar is sold at 18% profit.

Since y represents the quantity sold at 8% profit (2 kg), we can calculate the quantity sold at 18% profit (3 kg) as follows:

(2 kg) * (3/2) = 3 kg

Therefore, the quantity sold at 18% profit is 900 kg.

Answer:

Counter Clockwise Torque = 360 Nm

Clockwise Torque = 240 Nm

Step-by-step explanation:

Answer:

hb will = 3in/ three in

a formula for the perimeter of the rectangle in terms of its length, l will be given as l = P / 2 - b.

We know that the perimeter of rectangle is given by:

Perimeter ( P ) = 2 ( l + b )

Now, we need to represent this formula in terms of length that is l.

So, we get that:

P = 2 l + 2 b

Now subtract 2 b from both the sides:

P - 2 b = 2 l + 2 b - 2 b

P - 2 b = 2 l

2 l = P - 2 b

Divide both the sides by 2:

2 l / 2 = (P - 2 b) / 2

l = P / 2 - b

Therefore, we get that, a formula for the perimeter of the rectangle in terms of its length, l will be given as l = P / 2 - b.

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The equation of the exponential regression is y = 17100\(e^{-0.194x}\) and the value of a car after 12 years is $1667

It is a model that explains processes that experiences growth at a double rate. It is used for situations where the growth begins slowly but rapidly speeds up without bounds or where the decay starts rapidly but slows down to get to zero.

Given that, the given table shows the value of a car over time that was purchased for 14100 dollars, where x is years and y is the value of the car in dollars.

We need to find the exponential regression equation for this set of data,

We know that,

The exponential regression equation is : y = A₀eᵃˣ

Where A₀ is the coefficient of exponential regression and a is the constant.

For x = 0, the value of y will be $17100.

Therefore,

17100 = A₀e⁰

A₀ = 17100

Therefore, the equation will be =

y = 17100eᵃˣ

Find for a,

For x = 1, the value of y will be $14090.

14090 = 17100eᵃ

eᵃ = 14090/17100

Taking ln both sides, then we have,

a lne = -0.194

a = -0.194

Therefore, the exponential regression equation for this set of data is :

y = 17100\(e^{-0.194x}\)

Finding the value of the car, after 12 years =

y = 17100\(e^{-0.194(12)\)

y = 1667

Hence, the equation of the exponential regression is y = 17100\(e^{-0.194x}\) and the value of a car after 12 years is $1667

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Answer:

Part 1)

See Below.

Part 2)

\(\displaystyle (-0.179, -0.178) \cup (-0.010, 0.012)\)

Step-by-step explanation:

Part 1)

The linear approximation L for a function f at the point x = a is given by:

\(\displaystyle L \approx f'(a)(x-a) + f(a)\)

We want to verify that the expression:

\(1-36x\)

Is the linear approximation for the function:

\(\displaystyle f(x) = \frac{1}{(1+9x)^4}\)

At x = 0.

So, find f'(x). We can use the chain rule:

\(\displaystyle f'(x) = -4(1+9x)^{-4-1}\cdot (9)\)

Simplify. Hence:

\(\displaystyle f'(x) = -\frac{36}{(1+9x)^{5}}\)

Then the slope of the linear approximation at x = 0 will be:

\(\displaystyle f'(1) = -\frac{36}{(1+9(0))^5} = -36\)

And the value of the function at x = 0 is:

\(\displaystyle f(0) = \frac{1}{(1+9(0))^4} = 1\)

Thus, the linear approximation will be:

\(\displaystyle L = (-36)(x-(0)) + 1 = 1 - 36x\)

Hence verified.

Part B)

We want to determine the values of x for which the linear approximation L is accurate to within 0.1.

In other words:

\(\displaystyle \left| f(x) - L(x) \right | \leq 0.1\)

By definition:

\(\displaystyle -0.1\leq f(x) - L(x) \leq 0.1\)

Therefore:

\(\displaystyle -0.1 \leq \left(\frac{1}{(1+9x)^4} \right) - (1-36x) \leq 0.1\)

We can solve this by using a graphing calculator. Please refer to the graph shown below.

We can see that the inequality is true (i.e. the graph is between y = 0.1 and y = -0.1) for x values between -0.179 and -0.178 as well as -0.010 and 0.012.

In interval notation:

\(\displaystyle (-0.179, -0.178) \cup (-0.010, 0.012)\)

Answer:

She has $20 + $0.50n in her tip jar.

Step-by-step explanation:

Amount in tip jar at noon = $20

Average amount made from each customer = $0.50

Number of additional customers served after noon = n

Therefore, we have:

Additional amount made after noon = Average amount made from each customer * Number of additional customers served after noon = $0.50 * n = $0.50n

Amount in tip jar = Amount in tip jar at noon + Additional amount made after noon = $20 + $0.50n

Therefore, she has $20 + $0.50n in her tip jar.

Answer:

2x^3-2x^2+x

Step-by-step explanation:

Just trust me!

Answer:

not sure but I think it's B... I'm so sorry if it's wrong!

Step-by-step explanation:

Nice to meet you❤️

x = 500 riel type

y = 1000 riel type

x + y = 11

500x + 1000y = 8000

x = 11 - y

500(11 - y) + 1000y = 8000

y = 5

x = 11 - 5

x = 6

x = 6

y = 5

There were 5 1/4 bags of popcorn left after eating 4 bags.

To find out how much popcorn was left after eating 4 bags, we need to subtract the amount eaten from the total amount Brianna made.

Brianna made 9 1/4 bags of popcorn, which can be represented as a mixed number. To perform calculations, let's convert it to an improper fraction:

9 1/4 = (4 * 9 + 1) / 4 = 37/4

Now, let's subtract the 4 bags eaten from the total:

37/4 - 4

To subtract fractions, we need a common denominator. The common denominator of 4 and 1 is 4. Therefore, we can rewrite the expression as:

37/4 - 4/1

Now, let's find a common denominator and subtract the fractions:

37/4 - 16/4 = (37 - 16) / 4 = 21/4

The result is 21/4, which is an improper fraction. Let's convert it back to a mixed number:

21/4 = 5 1/4

Therefore, there were 5 1/4 bags of popcorn left after eating 4 bags.

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Answer:

at o to a the speed increases from a to b the speed is constant the from b to c the speed is decreasing there is a stop from c to d the speed increases at d to e going constant again at e to f

Step-by-step explanation:

Answer:

A. 77

Step-by-step explanation:

The mode of a data set is the value that appears the most number of times.

Here, we see that all the values appear once, except for 77, which appears twice:

74, 73, 76, 77, 71, 68, 65, 77, 67, 66

Thus, the answer is A, 77.

~ an aesthetics lover

Answer:

The answer is A.

Step-by-step explanation:

Mode is the value that occurs most frequently in a group.

So in this group, 77 appears the most.

Answer: -3

Step-by-step explanation:
Slope intercept form is:
y = mx + b

Which in this case m is the coefficient of x so -3

Answer:

Answer: {b,d,e,f,g,h,i,l,m,n,q,r,s,u,v,w,x,y,z}

Step-by-step explanation:

A' = U-A

={b,d,e,f,g,h,i,l,m,n,q,r,s,u,v,w,x,y,z}

Answer:

x = 3

Step-by-step explanation:

Your first step is to divide each side by 4. This would give you x + 3 = 6. Now, all you have to do is subtract 3 from the left side to move it to the right. This would give you the final answer of x = 3.

Answer:

x = 3

Step-by-step explanation:

4(x + 3) = 24

First we want to isolate the binomial x + 3 by dividing both sides by 4.

x + 3 = 6

Now, subtract 3 from both sides.

x = 3

This is your answer.

Check your answer by plugging x = 3 back into the equation.

4(x + 3) = 24

4(3 + 3) = 24

4(6) = 24

24 = 24

Your answer is correct.

Hope this helps!

The electrical resistance varies directly as the square of the voltage and inversely as the electric power, and the equation that relates them isR ∝ V²/PR = kV²/PR = V²/P. This relationship can be used to calculate the electrical resistance of the wire or component for any given voltage and power.

The electrical resistance is the measure of the difficulty in passing electric current through a wire or an electrical component. It depends on various factors, such as the material, dimensions, and temperature of the wire.The given statement says that the electrical resistance varies directly as the square of the voltage and inversely as the electric power.

In mathematical terms, this relationship can be expressed as R ∝ V²/PR = kV²/P where R is the electrical resistance, V is the voltage, P is the electric power, and k is the constant of proportionality. The constant k depends on the material, dimensions, and temperature of the wire or component.

The given statement implies that the constant k is the same for the given wire or component, and it is not affected by the voltage or the power.To find the value of k, we can use the given values of V, P, and R.

According to the statement, if the voltage is 20 volts and the electric power is 5 watts, then the electrical resistance is 80 ohms. Therefore,R = kV²/PR = k(20²)/5R = 400k/5R = 80 ohms

Substituting the value of R in the equation, we get80 = 400k/5k = (80 x 5)/400k = 1. Therefore, the equation that relates the electrical resistance, voltage, and power isR = V²/PThe constant of proportionality k is 1 for the given wire or component.

Therefore, the electrical resistance varies directly as the square of the voltage and inversely as the electric power, and the equation that relates them isR ∝ V²/PR = kV²/PR = V²/P. This relationship can be used to calculate the electrical resistance of the wire or component for any given voltage and power.

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Answer:

POINTS HA

Step-by-step explanation:

The first six terms of the Taylor series solution, centered at 0, of the given initial-value problem is y(x) = 1 + x + 1/2x² + 1/2x³ + 1/6x⁴ + 1/10x⁵+...

A function's Taylor series is an infinite sum of terms with each subsequent term having a bigger exponent, such as x, x2, x3, etc., and being stated in terms of the function's derivatives at any given point. In order to represent the Taylor series mathematically, the Taylor series formula is useful.

Using the derivatives of the function, the Taylor series formula aids in expanding a function around a value of the variable. s and be as ly,,,, texturs in a l

x a = f(x) = f(a) + f'(a)

y" = x + y²

y"' = 1 + 2yy'

y"" = 2(yy" + (y')²)

y""' = 2(yy"' + y'y" + 2y'y")

= 6y'y" + 2yy"

Now, y(0) = 1 and y'(0) = 1

y"(0) = 0 + y(0)² = 1

y"'(0) = 1 + 2y(0)y'(0) = 3

y"" = 2(y(0)y"(0) + (y'(0))²) = 4

y""' = 2(y(0)y"'(0) + y'(0)y"(0) + 2y'(0)y"(0)) = 12

Substitute these values in above equation :

so, first six terms of the Taylor's series

y(x) = 1 + x + 1/2x² + 1/6(3x³) + 1/4(24x⁴) + 1/120(12x⁵)+....

y(x) = 1 + x + 1/2x² + 1/2x³ + 1/6x⁴ + 1/10x⁵+.....

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Answer:

it's either 20 or 80..

Answer:

80 shoes

Step-by-step explanation:

40×2