(a) use a graphing utility to graph each side of the equation to determine whether the equation is an identity, (b) use the table feature of a graphing utility to determine whether the equation is an identity, and (c) confirm the results of parts (a) and (b) algebraically. 39. 2 sec? x - 2 sec? x sin’ x sin? x cos2x = 1 sin x - cos x 40. csc .x(esex - sin x) + + cot x = cscx sinx - 41. 2 + cos2x – 3 cos' x = sinºx(3 + 2 cosx) 42. tan* x + tan" x - 3 = sec x(4 tan" x - 3) 43. csc4 x - 2 csc? x + 1 = cotx x 44. (sin' B - 2 sin? B + 1) cos B = cos B COS X 1 sinx cot a 45. 46. 1 - sinx COS X csc u + 1 CSC a + 1 cot a

Answer:

  4x +6

Step-by-step explanation:

You want the simplified form of 6x -2(x -3).

Generally, the first step in simplifying an expression is elimination of parentheses. This is done using the distributive property.

  6x -2(x -3) = 6x -2x -2(-3) = 6x -2x +6

Then, like terms can be combined:

  6x -2x +6 = (6 -2)x +6 = 4x +6

The simplified expression is 4x +6.

__

Additional comment

We notice the terms have a common factor of 2, so we can use the distributive property to factor that out:

  = 2(2x +3)

This form may be useful in some circumstances, but is generally not considered to be the simplified form.

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Answer:

The first one you just put 1. 8 would be 30 and 11 would be 41.25

Step-by-step explanation:

Multiply the cup which is 3.75 by the number of tbsp

The SAS states that two triangles that have two pairs of corresponding congruent sides and a pair of corresponding included congruent angles are congruent.

The RHS congruence criterion states that two right triangles that have a congruent pair of hypotenuses and a congruent pair of corresponding sides are congruent.

The SAS congruence criterion is a postulate that shows that if two triangles have two pairs of corresponding congruent sides and a pair of corresponding included congruent angles, then both triangles are equal or congruent to each other.

What is the RHS Congruence Criterion?

The RHS stands for "right angle-hypotenuse-side". This congruence criterion states if two right triangles have congruence hypotenuses and a pair of corresponding congruent sides, then the two right triangles congruent to each other.

In summary, SAS congruence criterion proves that two triangles with two pairs of corresponding congruent sides and a pair of corresponding included congruent angles are congruent, while the RHS congruence criterion proves that two right triangles are congruent if they have equal pair of hypotenuses and a congruent pair of corresponding sides.

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The values are: -9, 7, -2, Undefined, Undefined, 8, Undefined, Undefined.

Let's match each expression with its corresponding value:

Expression: -9

Value: -9

Expression: 7

Value: 7

Expression: -2

Value: -2

Expression: Undefined

Value: Undefined

Expression: h(3.999)

Value: Undefined

Expression: h(4)

Value: 8

Expression: h(4.0001)

Value: Undefined

Expression: h(9)

Value: Undefined

Now let's explain the reasoning behind each value:

The expression -9 represents the number -9, so its value is -9.

Similarly, the expression 7 represents the number 7, so its value is 7.

The expression -2 represents the number -2, so its value is -2.

When an expression is labeled as "Undefined," it means that there is no specific value assigned or that it does not have a defined value.

For the expression h(3.999), its value is undefined because the function h(x) is not defined for the input 3.999.

The expression h(4) has a value of 8, indicating that when we input 4 into the function h(x), it returns 8.

Similarly, the expression h(4.0001) has an undefined value because the function h(x) is not defined for the input 4.0001.

Lastly, the expression h(9) also has an undefined value because the function h(x) is not defined for the input 9.

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Answer:

86 miles.

Step-by-step explanation:

Assuming they rented the car for one day, we'll subtract the $20 fee.

41.50-21= 21.50

Since it's $0.25 per mile, we then divide by .25

21.50/0.25 = 86

This means they travelled 86 miles.

Answer: Indeed It is b

Step-by-step explanation:

Answer:

X is 160. because you can add all the value of x. But first substrate 540 with 100 which is 440. then 1/2x + 1/2x+ (x-15) + (x-25) which is further simplified as x + 2x - 40. then it's further simplified as 3x - 40 = 440. then add 40 with 440 which is 480 then divide it by 3 which is 160. therefore X= 160.

Answer:

the answer is B

Step-by-step explanation:

8 + 14 = 2(4 + 7)

From 9:00 a.m. to 9:27 a.m., the temperature changed from 54°F to -4°F, a change of 58°F. This change took 27 minutes.

The temperature change per minute was 58°F / 27 minutes = 2.15°F per minute.

Answer:

im sorry but there is just a black screen

Step-by-step explanation:

Coating the seed typically improves seed quality and germination rates, so the same seeding rate can be maintained even with coated seed.

To convert mass-based seeding rates to population-based establishment rates, we need to consider the area conversion factors provided:

a. Given a seeding rate of 60 lbs/acre for cereal rye, we can convert it to seeds per square foot by using the conversion factor of 1 acre = 43,560 square feet.

b. Given a seeding rate of 15 kg/ha for crimson clover, we can convert it to seeds per square meter using the conversion factor of 1 hectare = 10,000 square meters.

To convert population-based seeding rates to mass-based seeding rates, we can use the given area conversion factors:

a. Given a seeding rate of 30 plants/square foot for oats, we can convert it to pounds of seed per acre.

b. Given a seeding rate of 20 plants/square meter for hairy vetch, we can convert it to kilograms of seed per hectare.

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A closed, two-dimensional, six-sided polygon in geometry is called a hexagon.

A closed, two-dimensional, six-sided polygon in geometry is called a hexagon. It has six vertices, which together create six internal angles and six line segments. The total of a hexagon's internal angles is 720°. A hexagon's form is also shown in the illustration below:

Based on the dimensions of the sides and angles, we can divide the hexagonal form into numerous categories. With the help of pertinent figures and examples, these are discussed here.

Standard hexagon

If all of the sides have the same length and all of the interior angles are the same size, a hexagon is said to be a regular hexagon. Moreover, the interior angle is 120 degrees. The regular hexagon has rotational symmetry of order six and six symmetrical lines.

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Answer:

x=0 or 6

Step-by-step explanation:

x^3-36x

bringing out the common factors,we have

x(x^2-36)

now equate to zero

x=0, x^2-36=0

x=0, x=√36

x=0 or 6

Answer:

7 1/2

Step-by-step explanation:

Let's add the whole numbers first, 3 + 4 = 7

Then, we add the fraction, and since the denominator is the same, there's no need for a change, so we just add the top. 1/8 + 3/8 is 4/8, which can be simplified to 1/2

so answer is 7 1/2

The volume of a cube whose edge is 6 cm long is 216

Answer:

it takes ten tickles for an octopus to laugh

The value of the series is frac{11}{18}. This series converges. To see why, we can use the comparison test with the series sum_{n=1}^infty frac{1}{n^2}, which is a known convergent series.

Specifically, we have frac{1}{n(n+3)} < frac{1}{n^2} for all n >= 1, and so by comparison, the given series converges as well.
To find the value of the series, we can use partial fractions to write:
frac{1}{n(n+3)} = frac{1}{3n} - frac{1}{3(n+3)}
Then, we can split up the series into two telescoping sums:
sum_{n=1}^infty frac{1}{n(n+3)} = sum_{n=1}^infty (frac{1}{3n} - frac{1}{3(n+3)})
= (frac{1}{3(1)} - frac{1}{3(4)}) + (frac{1}{3(2)} - frac{1}{3(5)}) + (frac{1}{3(3)} - frac{1}{3(6)}) + ...
Notice that most of the terms cancel out, leaving us with just:
sum_{n=1}^infty frac{1}{n(n+3)} = frac{1}{3} (1 + frac{1}{2} + frac{1}{3})
= frac{11}{18}
Therefore, the value of the series is frac{11}{18}.

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The activity that does not support students learning about two-dimensional shapes in different orientations is D. constructing figures with centimeter cubes. This activity involves three-dimensional objects, specifically cubes, which are not two-dimensional shapes.

Options A, B, and C all involve activities related to two-dimensional shapes. However, option D involves constructing figures with centimeter cubes, which refers to three-dimensional objects, not two-dimensional shapes. Thus, it does not support students' learning about two-dimensional shapes in different orientations.

The activity that does not support students learning about two-dimensional shapes in different orientations is constructing figures with centimeter cubes.

Two-dimensional shapes exist in a plane and have only length and width, while three-dimensional shapes have length, width, and depth. Centimeter cubes are three-dimensional objects and are not suitable for learning about two-dimensional shapes in different orientations. Activities such as cutting shapes with five squares on grid paper, sketching shapes that have been shown for only five seconds, and constructing shapes with given numbers of simple tiles are effective ways to support students learning about two-dimensional shapes in different orientations. These activities require students to think about how the shapes are arranged and how they can be rotated, flipped, or translated to create different orientations. By engaging in these activities, students can develop spatial reasoning skills and gain a deeper understanding of two-dimensional shapes.

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Answer:

Step-by-step explanation:

Since it's a right angled triangle we can use trigonometric ratios to find the value of x

To find the value of x we can use either sine or cosine

\( \sin(30) = \frac{5}{x} \\ x \sin(30) = 5 \\ x = \frac{5}{ \sin(30) } \\ x = \frac{5}{0.5} \\ \\ \\ \boxed{x = 10}\)

\( \cos(60) = \frac{5}{x} \\ x \cos(60) = 5 \\ x = \frac{5}{ \cos(60) } \\ x = \frac{5}{0.5} \\ \\ \\ \boxed{x = 10}\)

Hope this helps you

The probability that the mean lifetime of 25 randomly selected tires of this type will exceed than 42,000 miles is 25.14.

To break this problem, we need to use the standard normal distribution, assuming that the distribution of tire continuances is roughly normal. We can regularize the value of 42,000 using the formula

z = ( x- μ)/ σ

where x is the value of interest( 42,000 long hauls), μ is the mean tire continuance( 40,000 long hauls), and σ is the standard deviation( 3,000 miles). Plugging in the values, we get

z = ( 42,000- 40,000)/ 3,000 = 0.67

Using a standard normal distribution table or calculator, we can find the probability that an aimlessly named tire will last further than 42,000 long miles by looking up the area to the right of z = 0.67 under the standard average wind. This probability is roughly 25.14.

thus, the probability that a tire named arbitrarily from this brand will last more than 42,000 miles is roughly 25.14.

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The correct question is given below-

A particular brand of tires lasts an average of 40,000 miles with a standard deviation of 3,000 miles. What is the probability a tire selected at random lasts more than 42,000 miles?

Therefore, the area of the triangle is 2√5 square units, expressed in simplest radical form.

To find the area of a triangle, we can use Heron's formula, which states that the area (A) of a triangle with side lengths a, b, and c is given by:

A = √(s(s - a)(s - b)(s - c))

where s is the semi-perimeter of the triangle, calculated as:

s = (a + b + c) / 2

Given the side lengths of the triangle as 4, 3, and 3 units, we can calculate the semi-perimeter:

s = (4 + 3 + 3) / 2

= 5

Now, substituting the values into Heron's formula, we have:

A = √(5(5 - 4)(5 - 3)(5 - 3))

= √(5 * 1 * 2 * 2)

= √(20)

= 2√5

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Answer:

42

Step-by-step explanation:

hey 42+9=51 so this can be the ✔️answer

Solution:

Solve the system of equations to find the value of y.

        5x + 3y = 8

        2(5x + 3y = 8)

        10x + 6y = 16

Substitute the value of y into any equation to find the value of x.

Putting them in (x,y) form.

There were 682 children's and 332 adults were admitted when the entrance charge to an park is $4 for adults and $1.50 for children.

Given that,

The entrance charge to an amusement park is $4 for adults and $1.50 for children. 351 persons visited the park on one particular day, and 1014 dollars in entrance fees were collected.

We have to find how many people and kids were allowed inside.

We know that,

We get equations as,

1.5x+4y=351 ----->equation(1)

The other equation is

x+y=1014 ----->equation(2)

Take the equation(2)

x+y=1014

y=1014-x

Substitute y=1014-x in equation(1)

1.5x+4y=351

1.5x+4(1014-x)=351

1.5x+2056-4x=351

1.5x-4x=351-2056

-2.5x=-1705

2.5x=1705

x=1705/2.5

x=682

Substitute x=682 in equation(2)

y=1014-x

y=1014-682

y=332

Therefore, There were 682 children's and 332 adults were admitted when the entrance charge to an amusement park is $4 for adults and $1.50 for children.

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The midpoint Riemann sum approximation of ∫64x3 1−−−−−√ⅆx using 4 subintervals of equal width is 9980

The midpoint Riemann sum approximation of ∫64x3 1−−−−−√ⅆx using 4 subintervals of equal width is calculated by summing the area of each subinterval under the midpoint of the interval.

The formula for the midpoint Riemann sum is given by:

Sum = (width of interval) * (height of midpoint)

For this problem, since the width of each interval is 16/4 = 4, the midpoint Riemann sum is calculated by:

Sum = 4 * (1 + (16/4)^3 + (32/4)^3 + (48/4)^3)

Substituting the values for each midpoint, we get the following equation:

Sum = 4 * (1 + 4^3 + 8^3 + 12^3)

This simplifies to:

Sum = 4 * (1 + 64 + 512 + 1728)

Therefore, the midpoint Riemann sum approximation of ∫64x3 1−−−−−√ⅆx using 4 subintervals of equal width is:

Sum = 4 * (2495)

Sum = 9980

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Answer:

100%

Step-by-step explanation:

25/25=100%

Answer:

$16.80

Step-by-step explanation:

30% of $24 is $7.20 so you need to do 24-7.20 and you will end up with $16.80. Hope this helps!

The answer to your question is true. The lean six sigma methodology is designed to improve organizational processes and achieve overall culture change by focusing on continuous improvement, waste reduction, and customer satisfaction.

It involves a systematic approach that combines the principles of lean manufacturing and six sigma to eliminate inefficiencies and increase efficiency and quality. The methodology requires the involvement and commitment of all employees, from top management to frontline workers, and promotes a culture of continuous improvement and problem-solving. Overall, the lean six sigma methodology provides a comprehensive framework for achieving organizational culture change. However, it's important to note that implementing the lean six sigma methodology is not a quick fix and requires significant effort, resources, and time to be successful.

It requires careful planning, training, and monitoring to ensure that the methodology is effectively implemented and sustained over time.

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