Suppose tan(b) = –2, and the terminal side of b is located in quadrant II. What is cot(b)?

The calculated value of r ihe lateral area of the cylinder is 512π square units is 16 units

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

The lateral area of the cylinder is 512π square units

The lateral area of the cylinder is 2πrh

So, we have

2πrh = 512π

Substitute r for h

2πr^2 = 512π

Divide both sides by 2π

So, we have

r^2 = 256

Take the square roots

r = 16

Hence, the radius is 16 units

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Answer:

so basacilly the answer to all of the question is a

Step-by-step explanation: you welcome!

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

Answer:

if 3 is smallest and it ratio is 450 that means 450/3=150

5*50=750

3:5

450+750=1200

The median, mean, range and mode will be 6, 5.4, 9 and 7.

What is median?

The median is the middle number in the data set when the data set is written from least to greatest.

The median is the number in the middle when arranged in an ascending order. The numbers will be:

0, 3, 4, 6, 6, 7, 7, 7, 9.

The median is 6.

The range is the difference between the highest and lowest number which is: = 9 - 0 = 9

The mode is the number that appears most which is 7.

The mean will be the average which will be:

= (0 + 3 + 4 + 6 + 6 + 7 + 7 + 7 + 9) / 9.

= 49/9

= 5.4

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\(\displaystyle \lim_{x\to 0}~\cfrac{1-cos^2(7x)}{8x^2(~~1-sin^2(7x)~~)}~\hfill \boxed{u=7x\implies \cfrac{u}{7}=x\implies \cfrac{u^2}{49}=x^2} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{1-cos^2(u)}{8\left(\frac{u^2}{49} \right)(~~1-sin^2(u)~~)}\implies \cfrac{1-cos^2(u)}{ ~~ \frac{8u^2(~~1-sin^2(u)~~)}{49} ~~ }\implies \cfrac{[1-cos^2(u)]49}{8u^2(~~1-sin^2(u)~~)} \\\\\\ \cfrac{[1-cos(u)][1-cos(u)]49}{8u^2(~~1-sin^2(u)~~)}\implies \cfrac{1-cos(u)}{u}\cdot \cfrac{49[1-cos(u)]}{8u[1-sin^2(u)]} \\\\[-0.35em] ~\dotfill\)

\(\displaystyle \lim_{x\to 0}~\cfrac{1-cos(u)}{u}\cdot \cfrac{49[1-cos(u)]}{8u[1-sin^2(u)]}\implies \lim_{x\to 0}~\cfrac{1-cos(u)}{u}\cdot \lim_{x\to 0}~\cfrac{49[1-cos(u)]}{8u[1-sin^2(u)]} \\\\\\ \displaystyle \lim_{x\to 0}~\cfrac{1-cos(7x)}{7x}\cdot \lim_{x\to 0}~\cfrac{49[1-cos(7x)]}{8(7x)[1-sin^2(7x)]} \\\\\\ \displaystyle \text{\LARGE 0}\cdot \lim_{x\to 0}~\cfrac{49[1-cos(7x)]}{8(7x)[1-sin^2(7x)]}\implies \text{\LARGE 0}\)

The values of {m} that is greater than 4.6 represent the solution of the given inequality.

An inequality is used to compare two or more expressions or numbers.

For example -

2x > 4y + 3

x + y > 3

x - y < 6

The given inequality is -

5m - 7 > 16

Adding 7 on both sides, we get -

5m - 7 + 7 > 16 + 7

5m > 23

m > 23/5

m > 4.6

Therefore, the values of {m} that is greater than 4.6 represent the solution of the given inequality.

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Using double angle identity, we are able to prove tan(x)(1 + cos(2x)) = sin(2x).

To prove the identity tan(x)(1 + cos(2x)) = sin(2x), we can start by using trigonometric identities to simplify both sides of the equation.

Starting with the left-hand side (LHS):

tan(x)(1 + cos(2x))

We know that tan(x) = sin(x) / cos(x) and that cos(2x) = cos²(x) - sin²(x). Substituting these values, we get:

LHS = (sin(x) / cos(x))(1 + cos²(x) - sin²(x))

Next, we can simplify the expression by expanding and combining like terms:

LHS = sin(x) / cos(x) + sin(x)cos²(x) / cos(x) - sin³(x) / cos(x)

Simplifying further:

LHS = sin(x) / cos(x) + sin(x)cos(x) - sin³(x) / cos(x)

Now, let's work on the right-hand side (RHS):

sin(2x)

Using the double angle identity for sine, sin(2x) = 2sin(x)cos(x).

Now, let's compare the LHS and RHS expressions:

LHS = sin(x) / cos(x) + sin(x)cos(x) - sin³(x) / cos(x)

RHS = 2sin(x)cos(x)

To prove the identity, we need to show that the LHS expression is equal to the RHS expression. We can combine the terms on the LHS to get a common denominator:

LHS = [sin(x) - sin³(x) + sin(x)cos²(x)] / cos(x)

Now, using the identity sin²(x) = 1 - cos²(x), we can rewrite the numerator:

LHS = [sin(x) - sin³(x) + sin(x)(1 - sin²(x))] / cos(x)

    = [sin(x) - sin³(x) + sin(x) - sin³(x)] / cos(x)

    = 2sin(x) - 2sin³(x) / cos(x)

Now, using the identity 2sin(x) = sin(2x), we can simplify further:

LHS = sin(2x) - 2sin³(x) / cos(x)

Comparing this with the RHS expression, we see that LHS = RHS, proving the identity.

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The equation of the red graph is g ( x ) = 1 - x ².

To find the equation for a quadratic graph, you need to know the coordinates of three points on the graph. Once you have these coordinates, you can use them to write the equation in standard form. In this case, you can find the equation based on the equation of the blue graph.

All of the lines on the blue graph cross 4 on the graph. The only difference is that they all passed through number one. In order to make the blue line's equation represent the redline, you should substitute a 1 for the number 4 there.

This gives :

g ( x ) = 1 - x ²

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Step-by-step explanation:

x = total area of land

x - 1/6 × x - 5/9 × x = 48.5 | multiply both sides by 6

6x - x - 30/9 × x = 291

5x - 30/9 × x = 291 | multitude both sides by 9

45x - 30x = 2,619

15x = 2,619

x = 174.6 acres

pineapples were planted on 174.6 × 1/6 = 29.1 acres.

durians were planted on 174.6 × 5/9 = 97 acres.

Answer:

the answer is derf its between 5and6 so its 1 2 3 4 5 derf 6

:D

Step-by-step explanation:

Answer:157.5

Step-by-step explanation:becuase mutilpy 4.5x35 that equals 157.5

Answer:

2/3

Step-by-step explanation:

divide by a fraction = multiply by reciprocal

1/4 * 8/3

2/3

Answer:

⅔

Step-by-step explanation:

= ¼ ÷ ⅜

= ¼ × ⁸/3

= ⅔

Have a great day !

Step-by-step explanation:

The usual thing to do is to try to get rid of one variable first. So to get rid of x, we multiply the first equation by 5.

5(x + y) = 2(5)

-5x - 5y = -10

---> 5x + 5y = 10

-5x - 5y = -10

---> 0 = 0

As you can see, everything cancels out. If the statement is true, then it is infinitely many solutions.

The approximate surface area of the package is approximately 245.05 square inches.

The best model for the package is a cylinder.

To calculate the approximate surface area of the package, we need to find the lateral surface area of the cylinder and the area of the circular base.

The lateral surface area of a cylinder can be calculated using the formula:

Lateral Surface Area = 2πrh

where r is the radius of the base and h is the height.

The area of the circular base can be calculated using the formula:

Area of Base = \(πr^2\)

Given that the diameter of the bottom is 9 inches, the radius (r) would be half of that, which is 4.5 inches.

Using the given height of 13 inches, we can now calculate the surface area:

Lateral Surface Area = 2πrh = 2π(4.5)(13) ≈ 117.81 square inches

Area of Base = \(πr^2 = π(4.5)^2 ≈ 63.62\) square inches

To find the total surface area, we add the lateral surface area and the area of the base:

Total Surface Area = Lateral Surface Area + 2 × Area of Base = 117.81 + (2 × 63.62) ≈ 245.05 square inches

Therefore, the approximate surface area of the package is approximately 245.05 square inches.

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Lucio is 64 meters from the starting point.

The square has four sides of equal length, so Lucio has walked half the length of one side.

To return to the starting point, he needs to walk the other half of the side, which is 64 meters.

The angle Lucio turns is irrelevant, as long as he turns 180 degrees in total.

With this in mind, it can be seen that based on the parameters and the conditions, Lucio is 64 meters from the starting point because the angle to which he turns is irrelevant.

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The question in English:

In a square Lucio walks in straight sections, starting from the flagpole, at one point he changes direction turning 150º to his left, advances 64 meters and stops. To return to the pole you have to turn 75º to the left. How far are you from the starting point?

Answer:

A

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Quick question, how long is Joseph saving for? If it's 1 money of saving, he can spend $1,775 and if he saves for 1 year he can spend up to 21300.

The complete question:

Which expression is equivalent to the expression below? Select all that apply. –25(15 – 20d + 5c)

The equivalent expressions are,

A. -30 + 40d - 10c,

B. -6 + 8d - 2c

D. 6 - 8d + 2c.

An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.

For example, 2x+3

The given expression.

⇒ -25(15 - 20d + 5c)

⇒ -125(3 - 4d + c)

So, the given expression can be converted into

k(3 - 4d + c)

The equivalent expressions are:

A. -30 + 40d - 10c,

B. -6 + 8d - 2c

D. 6 - 8d + 2c.

A. -30 + 40d - 10c

⇒ -30 + 40d - 10c

⇒ -10(3 - 4d + c)

B. -6 + 8d - 2c

⇒ -6 + 8d - 2c

⇒  -2(3 - 4d + c)

D. 6 - 8d + 2c

⇒ 6 - 8d + 2c

⇒ 2(3 - 4d + c)

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Answer:

1a) Mean = 40

Standard Deviation = 5

b)i Which numbers on the list are within 0.5 SDs of average?

48, 50, 50

ii) within 1.5 SDs of average?

48, 50, 50, 54, 57

2a)Both of the following lists have the same average of 50. Which one has the smaller SD, and why? No computations are necessary.

The list with the smaller S.D = (ii) 50, 40, 60, 30, 70, 25, 75, 50, 50, 50

This because the results obtained from the second list (ii) is close to the mean , therefore, the Standard deviation is small.

b) Repeat, for the following two lists.

The list with the smaller S.D = (i) 50, 40, 60, 30, 70, 25, 75

This because the results obtained from the second list (i) is close to the mean , therefore, the Standard deviation is small.

Step-by-step explanation:

1a) Find the average and SD of the list 41, 48, 50, 50, 54, 57.

Average (Mean) = Sum of terms/Number of terms

= 41+ 48 + 50 + 50+ 54 + 57/6

= 300/6

= 50

Standard Deviation for the population= √(x - Mean)²/n

=√ (41 - 50)²+ (48- 50)² + (50- 50)² +(50- 50)² + (54 - 50)² +(57- 50)²/6

= √81 + 4 + 0 + 0 + 16 + 49/6

= √150/6

= √25

= 5

(b) Which numbers on the list are within 0.5 SDs of average?

Mean ± Standard deviation × 0.5

50 ± 5 × 0.5

50 - 2.5

= 47.5

50 + 2.5

= 52.5

The numbers on the list are within 0.5 SDs of average are number within 47.5 and 52.5 : 48, 50, 50

ii) Within 1.5 SDs of average?

Mean ± Standard deviation × 1.5

50 ± 5 × 1.5

50 - 7.5

= 42.5

50 + 7.5

= 57.5

The numbers on the list are within 1.5 SDs of average are numbers within 42.5 and 57.5: 48, 50, 50, 54, 57

2 (a) Both of the following lists have the same average of 50. Which one has the smaller SD, and why? No computations are necessary.

(i) 50, 40, 60, 30, 70, 25, 75

Mean is already give as 50

Standard Deviation = √(x - mean)²/n

= √(50 - 50) + (40- 50)² (60 -50)² +(30- 50)² + (70 - 50)² + (25 - 50)² (75 - 50)² /n

= √0 + 100 + 100 + 400+ 400 + 625 + 625/7

= √2250/7

= √321.4285714

= 17.92842914

(ii) 50, 40, 60, 30, 70, 25, 75, 50, 50, 50

Standard deviation = √(x - mean)²/n

√(50 -50)²+(40-50)² + (60 -50)²+ (30-50)² + (70 - 50)²+ (25-50)² +(75-50)² + (50 -50)² + (50 - 50)²+(50 - 50)²/10

= √0 + 100 + 100 + 400 + 400 + 625 + 625 + 0 + 0 + 0/10

√2250/10

√225

= √15

The list with the smaller S.D = Second list (ii) 50, 40, 60, 30, 70, 25, 75, 50, 50, 50

This because the results obtained from the second list (ii) is close to the mean , therefore, the Standard deviation is small.

(b) Repeat, for the following two lists.

(i) 50, 40, 60, 30, 70, 25, 75

Mean is already give as 50

Standard Deviation = √(x - mean)²/n

= √(50 - 50) + (40- 50)² (60 -50)² +(30- 50)² + (70 - 50)² + (25 - 50)² (75 - 50)² /n

= √0 + 100 + 100 + 400+ 400 + 625 + 625/7

= √2250/7

= √321.4285714

= 17.92842914

(ii) 50, 40, 60, 30, 70, 25, 75, 99, 1

Standard Deviation = √(x - mean)²/n

= √(50-50)² +( 40 -50)² +( 60 - 50)² + (30 - 50)²+( 70 - 50)² + (25 - 50)² + (75 - 50)² +(99 - 50)² +(1 -50)²/9

= √0 + 100 + 100 + 400 + 400+ 625 + 625 + 2401 +2401/9

= √7052/9

= √783.5555556

= 27.99206237

The list with the smaller S.D = (i) 50, 40, 60, 30, 70, 25, 75

This because the results obtained from the first list(i) is close to the mean , therefore, the Standard deviation is small.

Option (D) She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1 is correct.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

Patti is using mental math to evaluate the expression (70 + 12.8 + 30) + 6.1.

The number expression is:

= (70 + 12.8 + 30) + 6.1

As we know from the commutative property

a +  b = b + a

Applying commutative property in the number expression:

= (70 + 30+ 12.8) + 6.1

She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1.

Thus, option (D) She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1 is correct.

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Here is an idea!

Don't do the assignment, and your teacher will give you a zero. Hence, giving you a zero on the paper and you can tell the teacher you found the zero (the only zero) that is on the paper.

Hope this helps!

Answer:

only one -- YOUR GRADE

Answer:

x + 5 > 3

-5 -5

x < -2

Answer:

5 < 3 or 5 > 3

Step-by-step explanation:

Answer: monthly customer charge of $7.58 plus $0.08275 per kilowatt-hour (kWhr) for the first 400 kWhr

Step-by-step explanation: I took this test before so I hope this helps gl on the test

a) The charge for using 300 kWhr in a month is $ 32.41

b) The charge for using 700 kWhr in a month is $ 59.30

c) The rule for computing C is

    C ( x ) = { 7.58 + 0.08275x    if 0 ≤ x ≤ 400
                   15.848 + 0.06208x    if x > 400

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The monthly charge = $ 7.58

The monthly charge for per kWhr = $ 0.08275

The monthly charge per kWhr over 400 kWhr = $ 0.06208

So ,

The monthly charge for x kWhr is given by the equation = 7.58 + 0.08275x

The monthly charge for x kWhr which is more than 400 kWhr is given by the equation = 7.58 + 0.08275 ( 400 ) + 0.06208 ( x - 400 )

Now ,

a)

The charge for using 300 kWhr in a month is calculated by substituting the value of x as 300

So ,

The monthly charge for x kWhr is given by the equation = 7.58 + 0.08275x

The monthly charge for 300 kWhr = 7.58 + 0.08275 x 300

                                                         = 7.58 + 24.825

                                                         = $ 32.405

Therefore , The monthly charge for 300 kWhr is $ 32.41

b)

The charge for using 700 kWhr in a month is calculated by substituting the value for x as 700

The monthly charge for x kWhr which is more than 400 kWhr is given by the equation = 7.58 + 0.08275 ( 400 ) + 0.06208 ( x - 400 )

The monthly charge for 700 kWhr =  
7.58 + 0.08275 ( 400 ) + 0.06208 ( x - 400 )

Substituting the value for x as 700 , we get

= 7.58 + 0.08275 ( 400 ) + 0.06208 ( 300 )

= 40.68 + 18.624

= $ 59.304

Therefore , The monthly charge for 700 kWhr is $ 59.304

c)

Let x represent the number of kWhr used and C be the monthly charge for x kWhr.

The model can be split into 2 parts of condition , where

For , 0 ≤ x ≤ 400

The function is 7.58 + 0.08275x

For , x > 400

The function is 15.848 + 0.06208x

Therefore ,

The rule for computing C is

    C ( x ) = { 7.58 + 0.08275x    if 0 ≤ x ≤ 400
                   15.848 + 0.06208x    if x > 400

Hence , The monthly charge for 300 kWhr is $ 32.41 and the monthly charge for 700 kWhr is $ 59.304

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Answer:

64$

Step-by-step explanation:

first you multiply 59 with 8.5 and then divide it with 100

you will get the answer of 5.015

add this into 59

59+5.015=64.015

we round off it to 64$

Answer: 64

Step-by-step explanation:

i got it right on my test

The measure of distance RS, if The sides QU = 140 m, US = 115 m, TU = 104.55 m, rounding to the nearest hundredth of a meter, is 200 m.

Triangles are basic three-sided polygons with three internal angles. It is one of the basic geometric shapes, symbolized by the symbol, and has three vertex connections.

Given:

The sides QU = 140 m, US = 115 m, TU = 104.55 m

As you can see, the triangle QRS and triangle QTU are similar, thus the ratio of their sides will be equal,

QU / QS = TU / RS

140 / 140 + 115 = 104.55 / RS

140 / 255 = 104.55 \ RS

RS = 104.55 × 255 / 140

RS = 190.43 or 200 m

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Answer: 190.43m

Step-by-step explanation:

In Photo

To completely solve the problem, Karim should convert the product back into standard decimal notation.

We cannot directly apply the product of powers property because the binomial is not raised to a power itself.

(1) To convert a number from scientific notation to standard decimal notation, we multiply the coefficient (0.0258) by 10 raised to the power of the exponent (-8).

0.0258 × \(10^{-8\)  = 0.0258 × 0.00000001

                         = 0.000000000000258

(2) The product of powers property states that when you raise a term with an exponent to another exponent, you can simplify it by multiplying the exponents.

In the expression \((3z + y)^3\), we have a binomial term (3z + y) raised to the power of 3. This is not a situation where we can directly apply the product of powers property because the binomial is not raised to a power itself.

To simplify the expression, we need to expand it using the binomial theorem or by applying the concept of binomial expansion.

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