listed following are distinguishing characteristics and examples of reflecting and refracting telescopes. match these to the appropriate category. view available hint(s)for part a resethelp reflecting telescopesdroppable refracting telescopesdroppable

Answer:

2∛3

Explanation:

∛24=(∛8)(∛3)=2∛3

Hopes This Helps :)

Answer:

f(x) = x2 – 10x + 21

Step-by-step explanation:

I got it because you substract and add the last part

Two of the diagonal elements being zero will result in the determinant being zero.

For square matrices of size n, with zeros anywhere possible off the diagonal and along their diagonal, we call these diagonal matrices.

(a) For the 2-by-2 case, the determinant of a 2-by-2 diagonal matrix is given by:

det(A) = a11 a22

If a11 or a22 is zero, then the determinant is zero. Therefore, if one of the diagonal elements is zero, the determinant will be zero.

(b) For the 3-by-3 case, the determinant of a 3-by-3 diagonal matrix is given by:

det(A) = a11 a22 a33

If a11, a22, or a33 is zero, then the determinant is zero. Therefore, if one of the diagonal elements is zero, the determinant will be zero.

(c) For the 4-by-4 case, the determinant of a 4-by-4 diagonal matrix is given by:

det(A) = a11 a22 a33 a44

If a11, a22, a33, or a44 is zero, then the determinant is zero. Therefore, if one of the diagonal elements is zero, the determinant will be zero.

If a22 and a33 are both zero, then the determinant of the 4-by-4 matrix is given by:

det(A) = a11 * 0 * 0 * a44 = 0

Therefore, two of the diagonal elements being zero will result in the determinant being zero.

In general, for an n-by-n diagonal matrix, if k diagonal elements are zero, then the determinant is zero if k > n-1, and non-zero if k ≤ n-1.

Learn more about matrix at: brainly.com/question/31409800

#SPJ11

When it comes to printing full-color pictures, it usually involves using the CMYK color model which stands for cyan, magenta, yellow, and black.

These colors are combined in different amounts to create a wide range of colors and shades. Therefore, the answer to your question is three plus black. The colors cyan, magenta, and yellow are combined to produce a wide range of colors, while the black is added to enhance contrast and to create darker tones.

This combination of colors provides a more accurate and vibrant representation of the original picture. It is important to note that there are other color models used for printing such as RGB (red, green, and blue) which is used for digital displays, but for printing purposes, CMYK is the most common.

In conclusion, full-color pictures are printed using three colors (cyan, magenta, and yellow) plus black to enhance contrast and create darker tones. This combination of colors provides a more accurate and vibrant representation of the original picture.

This model consists of four ink colors: cyan (C), magenta (M), yellow (Y), and key (black, K). These four inks are combined in various proportions to produce a wide range of colors in the final print. Therefore, the correct answer would be four colors (CMYK), including black.

To know more about combination click here

brainly.com/question/20211959

#SPJ11

Answer:

8. -385°, 335°

9. -30°, 330°

Step-by-step explanation:

8. θ = -25°

-25-360 = -385°

-25+360 = 335°

9. θ = -390°

-390+360 = -30°

-30+360 = 330°

The difference quotient for the function is 8.

The function is given by:

f ( x ) = 8 x − 9, where h ≠ 0

To find f(a), substitute a for x in the function. So we have:

f ( a ) = 8 a − 9

To find f(a + h), substitute a + h for x in the function. So we have:

f ( a + h ) = 8 ( a + h ) − 9

The difference quotient can be found using the formula:

(f(a + h) - f(a))/h

Substituting the values found above, we have:

(8 ( a + h ) − 9 - (8 a − 9))/h

Expanding the brackets and simplifying, we have:

((8a + 8h) - 9 - 8a + 9)/h

= 8h/h

= 8

Therefore, the difference quotient for the function is 8.

To know more about difference quotient visit:

https://brainly.com/question/28421241

#SPJ11

The solution of the sum of the two mixed fractions is -167/40.

A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that two mixed fractions are 3¹/₅ and −7³/₈. The mixed fraction will be solved as,

E = 3¹/₅−7³/₈

E = 16 / - 59/8

E = ( 128 - 295) / 40

E = -167 / 40

To know more about mixed fractions follow

https://brainly.com/question/29282536

#SPJ1

To decide whether it is sensible for Stacy to utilize the ordinary show for the inspecting conveyance of the test extent, we got to check whether the conditions for utilizing the typical conveyance estimation are met. The conditions are:

The test estimate is expansive sufficient

The test information is autonomous

The populace is at slightest 10 times bigger than the test

The test estimate, in this case, is 50. To check whether it is expansive sufficient, ready to utilize the run the show of thumb that the test measure ought to be at the slightest 10% of the populace estimate.

Hence, based on these conditions, it is sensible for Stacy to utilize the ordinary demonstration for the inspecting conveyance of the test extent. She can accept that the testing dispersion is roughly typical with a cruel of p = 0.11 and a standard deviation of sqrt[(p(1-p))/n] = sqrt[(0.11(0.89))/50] = 0.05.

To learn about conveyance visit:

https://brainly.com/question/30420027

#SPJ4

The estimated probability that the next person who comes in to give blood will have high blood pressure is approximately 0.274, or 27.4%.Out of 1294 people, 355 had high blood pressure.

To estimate the probability, we divide the number of people with high blood pressure. The total number of people. Therefore, 355/1294 ≈ 0.274.To estimate the probability, we divide the number of people with high blood pressure (355) by the total number of people who came to give blood (1294). So, 355/1294 ≈ 0.274, which is approximately 27.4%.Based on the given data, there is a 27.4% probability that the next person who comes into the blood bank to give blood will have high blood pressure.

Based on the given information, we can estimate that there is a 27.4% probability that the next person who comes to give blood will have high blood pressure. This estimation assumes that the distribution of high blood pressure among blood donors remains consistent.

To know more about probability  visit:

https://brainly.com/question/31828911

#SPJ11

Answer:

distance = 2\(\sqrt{5}\) or 4.47 in decimal form

midpoint(6,6)

Step-by-step explanation:

The ratio 3.4/2.2 can be expressed as a fraction in lowest terms as 17/11.

To find the fraction in lowest terms, we need to simplify it by dividing both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 17 and 11 is 1, as there are no common factors other than 1. Dividing 17 and 11 by 1 gives us the fraction 17/11, which is already in its simplest form.

In the given ratio 3.4/2.2, the numerator is 3.4 and the denominator is 2.2. To convert it into a fraction, we can express both the numerator and denominator as whole numbers by multiplying them by a power of 10. In this case, we multiply both 3.4 and 2.2 by 10 to get 34 and 22, respectively. The ratio then becomes 34/22. To simplify this fraction, we find the greatest common divisor of 34 and 22, which is 2. Dividing both the numerator and denominator by 2 gives us the fraction 17/11, which is the simplest form of the ratio.

Learn more about ratio here:

https://brainly.com/question/8482466

#SPJ11

Answer:

Angle 1 = 115 degrees

Angle 2 = 65 degrees

Step-by-step explanation:

Angle 1: Same-side interior angle of Line 1

Angle 2: Same-side interior angle of Line 2

We know that the difference between the angles is 50 degrees. Since the angles are supplementary, we can write the equation:

Angle 1 + Angle 2 = 180

Now, we need to express the difference between the angles in terms of Angle 1 or Angle 2. We can choose either angle, so let's express it in terms of Angle 1:

Angle 1 - Angle 2 = 50

We can rewrite this equation as:

Angle 1 = 50 + Angle 2

Now substitute this expression for Angle 1 into the first equation:

(50 + Angle 2) + Angle 2 = 180

Combine like terms:

2Angle 2 + 50 = 180

Subtract 50 from both sides:

2Angle 2 = 130

Divide by 2:

Angle 2 = 65

Now substitute this value back into the equation for Angle 1:

Angle 1 = 50 + Angle 2

Angle 1 = 50 + 65

Angle 1 = 115

Therefore, the angles are as follows:

Angle 1 = 115 degrees

Angle 2 = 65 degrees

There is a taxi driver Aiden and he uses M(n) model to determine the money he earned from each drive. As n stands for the drive number, the statement  M(8)<M(4) means that Aiden's fee for the  \(8^t^h\) drive is less than for his \(4^t^h\)  drive.

We know that Aiden is a taxi driver and he uses his M(n) model to find the amount he earned from each drive. In his M(n) model n signifies the drive number.

Given that M(8)<M(4):

In the above statement, M(8) stands for the \(8^t^h\) drive of Aiden, and M(4) stands for the \(4^t^h\) drive of Aiden.

By using his M(n) model, we can conclude the statement  M(8)<M(4) that Aiden earned more money for his \(4^t^h\) drive than he earned for his \(8^t^h\) drive.

Learn more about Model at

https://brainly.com/question/29807828

#SPJ4

The complete question is:

Aiden is a taxi driver.

M(n) models Aiden's fee (in dollars) for his \(n^t^h\)drive on a certain day.

What does the statement M(8)<M(4), mean?

To determine the composition of transformations that maps figure efgh to figure efgh, we need to first identify the transformations involved.

A transformation is a change in position, size, or shape of a figure. In this case, we can see that figure efgh has not changed in size or shape, so the transformation must involve a change in position.

One possible transformation that could be involved is a translation, which involves moving the figure along a straight line without changing its size or shape. Another possible transformation is a rotation, which involves turning the figure around a fixed point.

To find the composition of transformations that maps figure efgh to itself, we need to experiment with different combinations of translations and rotations until we find one that works. For example, we could first rotate the figure 90 degrees clockwise around its center, and then translate it 2 units to the right and 3 units up. This composition of transformations would move figure efgh to a new position, but still maintain its size and shape.

Alternatively, we could first translate the figure 2 units to the right and 3 units up, and then rotate it 90 degrees counterclockwise around its center. This would also result in a new position for the figure, but with the same size and shape as the original.

In conclusion, there are multiple compositions of transformations that could map figure efgh to itself, including combinations of translations and rotations. It is important to experiment with different options and test them to ensure that they maintain the size and shape of the figure.

To Know more about rotations click here

brainly.com/question/2763408

#SPJ11

The standard form of the given expression is 7x - y = 17

The equation of line in standard form is expressed as Ax + By = C

Given the equation

y + 3 = 7(x - 2)

Expand

y + 3 = 7x - 14

y -7x = -14 - 3

-7x + y = - 17

7x - y = 17

Hence the standard form of the given expression is 7x - y = 17

Learn more on standard form  of equation here: https://brainly.com/question/187506

#SPJ1

The quotient of this division problem option A: 18 r89.

To find the quotient of the division problem 13,391 ÷ 739, we divide the dividend (13,391) by the divisor (739). The quotient represents the whole number result of the division, and any remaining value is the remainder.

Performing the division, we have:

First, we determine how many times 739 can be divided into 13,391 without exceeding it. We find that 739 can be divided into 13,391 eighteen times. We write this as the first part of the quotient:

      18

-------------

739 | 13,391

      739

We have a remainder of 89, which means we couldn't divide 89 further by 739 without exceeding it. Hence, we write the remainder after the division symbol:

 ----------

       6,651

      5,913

 ----------

         738

Remember, when performing division, the quotient represents the whole number result obtained from dividing the dividend by the divisor, and the remainder represents what is left after the division.

The division process shows that the quotient is 18 (OA) with a remainder of 738. Therefore, the correct answer is OA: 18 r89.

Know more about quotient    here:

https://brainly.com/question/11995925

#SPJ8

Probability of both = 6/8 * 2/8 = 12/64 which reduces to 3/16.

acc  to our question-

learn more about probability click here:

brainly.com/question/13604758

#SPJ4

Answer:

you would need to find the price before tax of the game. (B)

Answer:

V= video game $

.50V=.75

Now divide,

.75 divided by .05=15= V

So the video game wquals $15.

Now Check your answer

15 times (x) .05= .75

There you go :)

Step-by-step explanation:

On the interval [0, 2π), the points which are intersections of r = 5 4 sin(θ) and r = −6 sin(θ) is (3,7π/6) and (3,11π/6) option C and D.

The point of intersection is the junction of two lines or curves.

A point is where two lines from two curves cross.

The point of intersection is a line when two planes collide.

The junction of two lines is referred to as a "point of intersection." These two lines are denoted by the equations a1x+b1y+c1=0 and a2x+b2y+c2=0, respectively. The following diagram displays the location of the junction of the two lines. You may also find the junction of three or more lines.

Let,

5 + 4 sin(θ) = −6 sin(θ)

Then get

θ= -1/2

Then you can make it.

Learn more about Point of intersection:

https://brainly.com/question/28950927

#SPJ4

Complete question:

On the interval [0, 2π), which points are intersections of r = 5 4 sin(θ) and r = −6 sin(θ)? check all that apply.

A) -3,7π/6

B) (-3,11π/6)

C) (3,7π/6)

D) (3,11π/6)

Answer:

Troy is 9.4 miles from his starting point.

Step-by-step explanation:

Using the Pythagorean theorem, we can calculate the straight distance from his start to end point, which would be the hypotenuse. 8 miles due east will be the first leg, A, and 5 miles due north will be the second leg, B. A(8) squared plus B(5) squared = C squared. C would equal 9.43, rounded to the nearest tenth is 9.4

Answer:

D

Step-by-step explanation:

the hypotenuse is 10 cm one leg is 8 cm and the other leg is 6 cm

Answer:

1. y = -0.75x + 2

2. y = -1.8x - 7

3. y = -3x + 3

4. y = -11/7x + 56

5. y = -0.6x + 3

6. y = -2x - 14

7. y = 14x + 7

8. y = 2/8x - 4/3

9. y = x - 6

10. y = -1/3x + 4

Step-by-step explanation:

Question 1

3x + 4y = 8

4y = -3x + 8

y = -0.75x + 2

Question 2

9x + 35 = -5y

5y = -9x - 35

y = -1.8x - 7

Question 3

2y - 6 = -6x

2y = -6x + 6

y = -3x + 3

Question 4

-11x - 7y = -56

7y = -11x + 56

y = -11/7x + 56

Question 5

5y/3 = -(x - 5)

5y = -3(x - 5)

5y = -3x + 15

y = -0.6x + 3

Question 6

-2(2x + y) = 28

-4x - 2y = 28

2y = -4x - 28

y = -2x - 14

Question 7

-14x + y = 7

y = 14x + 7

Question 8

12y = (8x - 48)/3

36y = 8x - 48

y = 2/8x - 4/3

Question 9

(3x - 3y)/2 = 9

3x - 3y = 18

3y = 3x - 18

y = x - 6

Question 10

2x/3 + 4(y - 2) = 0

2x/3 + 2y - 8 = 0

2y - 8 = -2x/3

3(2y - 8) = -2x

6y - 24 = -2x

6y = -2x + 24

y = -1/3x + 4

Hope this helped! If not please let me know! <3

The circumference of the circle is 28.3\(cm^2\).

A circle's circumference is the distance spanning its outermost point. Diameter is the measurement from a circle's centre to the outside. The radius of a circle is the separation between its centre and any point on its edge.

Here the given diameter d = 9 cm

Using circumference of circle formula then,

=> Circumference C = \(\pi d\) square unit.

Then,

=> C = 3.14*9 = 28.3\(cm^2\)

Hence the circumference of the circle is 28.3\(cm^2\).

To learn more about circumference refer the below link

https://brainly.com/question/27447563

#SPJ1

Answer:

525.00

Step-by-step explanation:

The cost of 25 kg of apples is $437.5.

"A cost is an expenditure required to produce or sell a product or get an asset ready for normal use. In other words, it’s the amount paid to manufacture a product, purchase inventory, sell merchandise, or get equipment ready to use in a business process.

There are many different costs, including fixed and variable, but they are all accounted for in the same way. Costs are recorded as expenses on the income statement during and accounting period and cleared out in a closing entry at the end of the period."

The cost of 15 kg is $262.50.

So, the cost of 1 apple is 262.50/15

= 17.5

Cost of 25 kg = \(17.5 * 25 = 437.5\)

Hence, the cost of 25 kg of apples = 437.5

To know more about cost here

https://brainly.com/question/15135554

#SPJ3

Step-by-step explanation:

answer is in photo above

Answer:

  true

Step-by-step explanation:

You want to know if weight and self-esteem have a negative correlation if an increase in weight causes self-esteem to go down (the slope is negative).

The slope of the line of best fit has the same sign as the correlation coefficient. The magnitude of the correlation coefficient is the ratio of the covariance to the product of the standard deviations of the variables.

It is true that the weight and self-esteem have negative correlation.

The formula for the distance from the origin is distance = √(x² + y²)

In this case, the hypotenuse is the distance from the origin to the point (x, y), and the other two sides are the horizontal distance from the origin to the point, which is x, and the vertical distance from the origin to the point, which is y. Therefore, the distance from the origin to the point (x, y) is given by the following formula:

distance = √(x² + y²)

This formula is also known as the distance formula or the Pythagorean distance formula. It can be used to find the distance between any two points in a two-dimensional coordinate system.

The distance from the origin can also be expressed in terms of polar coordinates, which are a different way of describing points in a two-dimensional space.

To know more about distance here

https://brainly.com/question/4199102

#SPJ4

The amount of water added by the pool maintenance to make the pool 90% full is 178,200 gallons.

The amount of water an Olympic-sized pool can hold is, 660,000 gallons.

The pool is 63% full at the moment

The of water in the pool now is:66% of  660,000 gallons

If the pool is 90% full then the amount of water in the pool is:

90% of 660,000 = 594,000 gallons

The amount of water added by the pool maintenance is:

Amount of water added = 90% of 660,000 - 63% of 660,000

594,000 - 415,800

= 178200                                  

Thus, the amount of water added by the pool maintenance to make the pool 90% full is 178,200 gallons.

To learn more about gallons refer

https://brainly.com/question/26007201

#SPJ1

Answer:

The answer is B. 50°

Step-by-step explanation:

Got 100% on the test :)

The value of ∠MHJ is 50°. Therefore, option B is the correct answer.

We need to find the value of ∠MHJ.

Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines. Vertically opposite angles are equal to each other.

Here, ∠MHJ and ∠KHL are two vertically opposite angles.

So, (x+15)°=(2x-20)°

⇒x=35°

Now, ∠MHJ=(2x-20)°=50°

Therefore, option B is the correct answer.

To learn more about the vertically opposite angles visit:

https://brainly.com/question/68367.

#SPJ6