cos90degrees cos30 degrees + sec-squared45degrees sin30degrees - cos270degrees sin180degrees

Answer:

A. \(n=100\)
B. \(k=0\)

Step-by-step explanation:

A. The equation "110% n = 11" can be solved as follows:

110% n = 11

To solve for n, we need to get rid of the percentage sign (%). We can do this by dividing both sides of the equation by 110%, or 0.110 (since 110% is equivalent to 1.1 in decimal form).

(110% n) / 110% = 11 / 110%

n = 11 / 0.110

n = 100

So, the solution for n in the equation "110% n = 11" is n = 100.

B. The given equation is:

(328 x 128) x k = 328 x (82 x 128) x k

To solve for k, we can simplify the equation using the properties of multiplication.

Step 1: Perform the multiplications inside the parentheses:

41984 x k = 328 x 10576 x k

Step 2: Rearrange the equation by applying the associative property of multiplication:

41984 x k = 328 x (10576 x k)

Step 3: Divide both sides of the equation by 328:

(41984 x k) / 328 = 10576 x k

Step 4: Cancel out the common factor of k on the left-hand side:

(41984 / 328) x k = 10576 x k

Step 5: Simplify the left-hand side:

128 x k = 10576 x k

Step 6: Subtract 10576 x k from both sides of the equation to isolate k:

128 x k - 10576 x k = 0

Step 7: Factor out k on the left-hand side:

k x (128 - 10576) = 0

Step 8: Simplify further:

k x (-10448) = 0

Step 9: Divide both sides of the equation by (-10448):

k = 0

So, the solution for k in the equation "(328 x 128) x k = 328 x (82 x 128) x k" is k = 0.

The measure of the angles are;

<KL = 23 degrees

m<LON is 23 degrees

m<OM = 113 degrees

m<KNL = 23 degrees

m<NL = 157 degrees

To determine the measures of the arc, we need to note the following;

From the information shown in the diagram, we have;

<KL +<KM = 90 degrees

Now, substitute the values

<KL + 67 = 90

collect like terms

<KL = 23 degrees

m<LON and <KL are corresponding angles

Then, m<LON is 23 degrees

m<OM = m<LON + 90 degrees

Substitute the values

m<OM = 113 degrees

m<KNL = 23 degrees

m<NL = 90 + <LM

Substitute the values

m<NL = 157 degrees

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Answer:

The proportion of the sample that does not have a two-year or four-year college degree is 0.7355.

Step-by-step explanation:

Sample of 310 people.

186(only high school) + 42(only some college) did not have have a two-year or four-year college degree.

So

\(p = \frac{186+42}{310} = 0.7355\)

The proportion of the sample that does not have a two-year or four-year college degree is 0.7355.

Ans.......

YTC ...................................

Step-by-step explanation:

D. min-mid-max-mid-min

C. -cosine

The general pattern that the graph follows starting from the green point is; Min - Mid - Max - Mid - Min and it is a cosine graph.

The graph is missing and so I have attached it.

Now, from the graph we are told to start from the green point. We can see that the green point is the minimum point of the graph curve.

The next point is the mid point which is in between the previous minimum point and maximum point. This pattern resmbles the previous one and as such the pattern of the graph is;

Min - Mid - Max - Mid - Min

Finally, we can say that it is a cosine graph.

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Each liter is equivalent to exactly: 4.22675 cups.

I hope this helps!

Answer:

Angle \(AEC=80\)°

Step-by-step explanation:

Answer:

-18

Step-by-step explanation:

Hope This Helps :)

Answer:

80 or 89 would result in a profit for the club

Step-by-step explanation:

4250/55 = 77.27

Answer:

-3mn^2/m^4n......please mark me brainliest!!!have a blessed day

The value of df, when x = π/4 and dx = 1/24, is (-5π - 5√2)/(96√2).

To find the derivative of the function f(x) = -5cos(x) + xtan(x), we'll use the sum and product rules of differentiation. Let's start by finding df/dx.

Apply the product rule:

Let u(x) = -5cos(x) and v(x) = xtan(x).

Then, the product rule states that (uv)' = u'v + uv'.

Derivative of u(x):

u'(x) = d/dx[-5cos(x)] = -5 * d/dx[cos(x)] = 5sin(x) [Using the chain rule]

Derivative of v(x):

v'(x) = d/dx[xtan(x)] = x * d/dx[tan(x)] + tan(x) * d/dx[x] [Using the product rule]

= x * sec^2(x) + tan(x) [Using the derivative of tan(x) = sec^2(x)]

Applying the product rule:

(uv)' = (5sin(x))(xtan(x)) + (-5cos(x))(x * sec^2(x) + tan(x))

= 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)

Simplify the expression:

df/dx = 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)

Now, we need to evaluate df/dx at x = π/4 and dx = 1/24.

Substitute x = π/4 into the derivative expression:

df/dx = 5(π/4)sin(π/4)tan(π/4) - 5(π/4)cos(π/4)sec^2(π/4) - 5cos(π/4)tan(π/4)

Simplify the trigonometric values:

sin(π/4) = cos(π/4) = 1/√2

tan(π/4) = 1

sec(π/4) = √2

Substituting these values:

df/dx = 5(π/4)(1/√2)(1)(1) - 5(π/4)(1/√2)(√2)^2 - 5(1/√2)(1)

Simplifying further:

df/dx = 5(π/4)(1/√2) - 5(π/4)(1/√2)(2) - 5(1/√2)

= (5π/4√2) - (10π/4√2) - (5/√2)

= (5π - 10π - 5√2)/(4√2)

= (-5π - 5√2)/(4√2)

= (-5π - 5√2)/(4√2)

Now, to evaluate df/dx when dx = 1/24, we'll multiply the derivative by the given value:

df = (-5π - 5√2)/(4√2) * (1/24)

= (-5π - 5√2)/(96√2)

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The fraction in its lowest terms for 7 1/2 percent is 3/40.

To express the mixed number 7 1/2 percent as a fraction in its lowest terms, we need to convert it to a fraction and simplify.

First, we convert the mixed number to an improper fraction:

7 1/2 percent = 7 1/2 / 100

To simplify this fraction, we find the least common multiple (LCM) of the denominator (2) and the percent denominator (100), which is 200.

Now, we can rewrite the fraction with the common denominator:

7 1/2 / 100 = (7 * 2 + 1) / 200 = 15/200

To simplify the fraction further, we can divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 15 and 200 is 5.

15/200 = (15 ÷ 5) / (200 ÷ 5) = 3/40

Therefore, the fraction in its lowest terms for 7 1/2 percent is 3/40.

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The perimeter of the rectangle is 62 square units.

The perimeter of a rectangle can be calculated using the formula:

P = 2(L + W)

Where:

L is the length of the rectangle

W is the width of the rectangle

We have:

L = 20 units

W = 11 units

Substituting into the formula:

P = 2(20 + 11)

P = 2(31)

P = 62 square units

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Question in English

What is the perimeter of a rectangle if it is 20 long and 11 wide?

Answer:

\(\displaystyle y' = -(2x - 5)(6x - 25)\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

Derivative Rule [Product Rule]:                                                                                    \(\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)\)

Derivative Rule [Chain Rule]:                                                                                       \(\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)\)

Step-by-step explanation:

Step 1: Define

Identify

y = (2x - 5)²(5 - x)

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

The statement that is not true is (a) A = 74 degrees

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

The dilation of ABC by a scale factor of 2

This means that

Scale factor = 2

The general rule of dilation is that

using the above as a guide, we have the following:

AC = 2 * 5 = 10

C = 53 degrees

BC = 2 * 3 = 6

A = 37 degrees

Hence, the statement that is not true is (a) A = 74 degrees

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Answer:

Private Jet = 181 mph      Commercial Jet = 362 mph

Step-by-step explanation:

private jet           travels distance D in 14 hours

commercial jet   travels distance D in 7 hours      

so commercial jet speed is twice the private jet

                    y   =  2x

commercial jet speed = 3 · (private jet speed) - 181 mph

               y  =   3x - 181

                        2x = 3x  - 181

                2x - 3x  = -181

                       -x   =  -181

                         x  =   181

                      y   =  2x

                      y   =   362

          362  =  3(181)  - 181

Answer:

290 Bolts are There

Step-by-step explanation:

5/16 bolt Here 5/16 is size of Bolt

1 bolt Weighs  of given size weighs = 0.43 lb

Total Weight = 125 lb

Number of Bolts in Bag  = Total Weight of Bag / Weight of 1 Bolt

= 125/0.43

= 290

(i) The function that satisfies the equation is P(t) = P₀ e^(0.059t).

(ii) The balance after 2 years is $1125.24.

(iii)The balance is growing by  $62.62 after 2 years.

(iv) An investment of $1000 will double itself in 11.75 years.

(i) Since the rate used for compound interest is given by dP/dt = 0.059P. We can rewrite the expression for the rate as:

dP/P = 0.059dt

Integrating both sides will give:

ln(P) = 0.059t + C (where C is a constant)

Taking the exponential of both sides will give:

P(t) = P₀ e^(0.059t)

Thus, the function is P(t) = P₀ e^(0.059t)

(ii) If $1000 is invested. The balance after 2 years will be:

P(t) = P₀ e^(0.059t)   (put t = 2)

P(2) = 1000 * e^(0.059 * 2)

P(2) = 1000 * e^(0.118)

P(2) = $1125.24

(iii) rate of change = ΔP/Δt = (P(2)- P₀)/(t₂ - t₀)

rate of change= (1125.24-1000)/(2-0) = $62.62

Thus, the balance is growing by $62.62 after 2 years

(iv) If the investment (P₀ = $1000) doubles  P(t) = $2000 . We need to calculate t. That is:

P(t) = P₀ e^(0.059t)

2000 = 1000 * e^(0.059t)

2000/1000 =  e^(0.059t)  

2 = e^(0.059t)

ln(2) = 0.059t

t = ln(2)/0.059

t = 11.75 years

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Jeremiah has to sell 5000 dollars worth of computers to get paid $130 on a given day. Using the linear equation, the required value is calculated.

An equation in which if the highest degree of the variable is 1(one), then that equation is said to be a linear equation.

General form: ax + b = c; where the power of the variable x is 1.

It is given that,

Jeremiah makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from his sales that day.

Consider,

P - as total pay on a day, x - as the number of dollars worth of computers, B - as basic pay, and C - as commission percentage.

So, the linear equation that relates x and P is,

P = Cx + B   ...(i)

On substituting the values from the given table we get,

122.5 = C(4500) + B ...(ii)

160 = C(7000) + B ...(iii)

175 = C(8000) + B ...(iv)

By solving equations (iii) and (iv), we get

C = 15/1000 = 0.015

B = 55

Finding x value when P = $130:

We have P = Cx + B. Then for P = 130,

130 = Cx + B

We know C = 0.015 and B = 55

On substituting these values,

130 = (0.015) x + 55

⇒ 0.015x = 130 - 55 = 75

∴ x = 75/0.015 = 5000

Therefore, the required computers are 5000 dollars worth.

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Disclaimer: The given question on the portal was incomplete. Here is the complete question.

Question: Jeremiah is a salesperson who sells computers at an electronics store. He makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from his sales that day. Let P represent Jeremiah's total payments on a day on which he sells x dollars worth of computers. The table below has select values showing the linear relationship between x and P. Determine how many dollars worth of computers Jeremiah would have to sell to get paid $130 on a given day.

Table:

x: 4500, 7000, 8000

P: 122.5, 160, 175

respectively.

Answer:

V = 3.

Step-by-step explanation:

(I'll try.)

v/9 = 4/12

you cancel the common factor which is four.

next, you multiple both sides by nine, which make:

9v

_ = 1 , 9

_____

9 3

,,

and I guess you simplify it, and then it becomes V = 3.

I suck at explaining, so you'll just have to trust me by word.

The rate of change in the total amount charged with respect to the time spent on the service call is $40 per hour.

The mathematical concept of rate of change describes how much one quantity changes in relation to another. It is calculated as the difference between the change in the output (the dependent variable) and the change in the input (independent variable).

The rate of change, in other words, informs us of how quickly or slowly something is changing through time or in relation to another variable. When tracking the distance an automobile travels over time, for instance, the rate of change would be the car's speed, which is calculated as the distance traveled divided by the time required.

Slope, which is the ratio of the vertical change (rise) to the horizontal change (run) between two points on a graph, is a common way to depict the rate of change. The rate of change of the dependent variable with respect to the independent variable is depicted by the slope of a straight-line graph.

The rate of change in the total amount charged with respect to the time spent on the service call represents the slope of the graph. We can find the slope of the graph by taking any two points on the line and calculating the change in y (total amount) divided by the change in x (time spent on the service call).

Looking at the graph, we can choose two points: (2, 130) and (8, 370). The change in y is:

370 - 130 = 240

And the change in x is:

8 - 2 = 6

Therefore, the slope (rate of change) of the graph is:

240/6 = 40

So the rate of change in the total amount charged with respect to the time spent on the service call is $40 per hour.

Therefore, the correct option is $40 per hour.

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Answer:

1246 sq cm

Step-by-step explanation:

First, you find the area of the rectangle without the part cut out of it. Then, you find the area of the part cut out. Finally, you subtract the two.

34 x 39 = 1326

10 x 8 = 80

1326 - 80 = 1246

Based on the information, there are 25 cars with good brakes and good tires.

Total cars = 50

Cars with faulty brakes = 10

Cars with faulty tires = 15

Cars with faulty brakes and good tires = 2

Let's calculate the number of cars with good brakes and good tires:

Cars with faulty brakes or faulty tires = Cars with faulty brakes + Cars with faulty tires - Cars with faulty brakes and good tires

= 10 + 15 - 2

= 25

Cars with good brakes and good tires = Total cars - Cars with faulty brakes or faulty tires

= 50 - 25

= 25

Therefore, there are 25 cars with good brakes and good tires.

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Answer:

Step-by-step explanation:

10

Ws

The solution is \(x_1\) = 3 and \(x_2\)= 0.

Simplex method is an approach to solving linear programming models by hand using slack variables, tableaus, and pivot variables as a means to finding the optimal solution of an optimization problem.

Given:

We transfer the row with the resolving element from the previous table into the current table, elementwise dividing its values ​​into the resolving element:

\(P_2\) = \(P_2\) / \(x_{2,1\) = 12 / 4 = 3;

\(x_{2,1\) = \(x_{2,1\) / \(x_{2,1\) = 4 / 4 = 1;

\(x_{2,2\) = \(x_{2,2\) / \(x_{2,1\) = 3 / 4 = 0.75;

\(x_{2,3\) = \(x_{2,3\) / \(x_{2,1\) = 0 / 4 = 0;

\(x_{2,4\) = \(x_{2,4\) / \(x_{2,1\) = 1 / 4 = 0.25;

The remaining empty cells, except for the row of estimates and the column Q, are calculated using the rectangle method, relative to the resolving element:

\(P_1\) = (\(P_1\) . \(x_{2,1\)) - (\(x_{1,1\) . \(P_2\)) / \(x_{2,1\)= ((6 x 4) - (1 x 12)) / 4 = 3

\(x_{1,1\)= ((\(x_{1,1\). \(x_{2,1\)) - (\(x_{1,1\) . \(x_{2,1\))) / \(x_{2,1\)= ((1 x 4) - (1 x 4)) / 4 = 0

\(x_{1,3\)= ((\(x_{1, 3\). \(x_{2,1\)) - (\(x_{1,1\) . \(x_{2,3\))) / \(x_{2,1\)= ((1 x 4) - (1 x 0)) / 4 = 1

\(x_{1,4\) = ((\(x_{1, 4\). \(x_{2,1\)) - (\(x_{1,1\). \(x_{2,4\))) / \(x_{2,1\)= ((0 x 4) - (1 x 1)) / 4 = -0.25

Objective function value

We calculate the value of the objective function by elementwise multiplying the column \(C_b\) by the column P, adding the results of the products.

Max P = (C\(b_1\) x \(P_{01\)) + (C\(b_{11\) x \(P_2\))= (0 x 3) + (7 x 3) = 21;

Evaluated Control Variables

We calculate the estimates for each controlled variable, by element-wise multiplying the value from the variable column, by the value from the Cb column, summing up the results of the products, and subtracting the coefficient of the objective function from their sum, with this variable.

Max \(x_1\)= ((C\(b_1\) . \(x_{1,1\)) + (C\(b_2\) . \(x_{2,1\)) ) - k\(x_1\) = ((0 x 0) + (7 x 1) ) - 7 = 0

Max \(x_2\)= ((C\(b_1\) . \(x_{1,2\)) + (C\(b_2\) . \(x_{2,2\)) ) - k\(x_2\) = ((0 x 1.25) + (7 x 0.75) ) - 5 = 0.25

Max \(x_3\)= ((C\(b_1\) . \(x_{1,3\)) + (C\(b_2\) . \(x_{2,3\)) ) - k\(x_3\) = ((0 x 1) + (7 x 0) ) - 0 = 0

Max \(x_4\)= ((C\(b_1\) . \(x_{1,4\)) + (C\(b_2\) . \(x_{2,4\)) ) - k\(x_4\) = ((0 x -0.25) + (7 x 0.25) ) - 0 = 1.75

Since there are no negative values ​​among the estimates of the controlled variables, the current table has an optimal solution.

The value of the objective function:

F = 21

The variables that are present in the basis are equal to the corresponding cells of the column P, all other variables are equal to zero:

\(x_1\) = 3;

\(x_2\)= 0;

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Answer: f(x) has an axis of symmetry at x = 4 and h(x) has an axis of symmetry at x = -2

Step-by-step explanation:

You can easily find the axis of symmetry by investigating around which line the functions are symmetrical about

for instance, in h(x), the graph is symmetrical on either side of x = -2, meaning that the line x = -2 cuts the parabola in 'half'

in f(x), this is a little harder to think about, but if you know how the graph will be shifted on the x-axis you can figure it out! In this case (x-4)^2 means that the graph will be shifted on the x-axis 4 units to the right (or from the origin to +4 on the X axis)

as such the line x = 4 will cut the function f(x) in 'half'