6,816 divided by 32?

The number of ways to pick two representatives, where one is a mathematics major and the other is a computer science major, is 5,850. The number of ways to pick one representative who is either a mathematics major or a computer science major is 343.

To calculate the number of ways to pick two representatives where one is a mathematics major and the other is a computer science major, we can multiply the number of choices for each category:

Number of ways to pick a mathematics major representative = 18

Number of ways to pick a computer science major representative = 325

Total number of ways to pick two representatives (one from each category) = Number of ways to pick a mathematics major representative × Number of ways to pick a computer science major representative

Total number of ways = 18 × 325 = 5,850

Therefore, there are 5,850 ways to pick two representatives where one is a mathematics major and the other is a computer science major.

To calculate the number of ways to pick one representative who is either a mathematics major or a computer science major, we can simply add the number of choices for each category:

Number of ways to pick a mathematics major representative = 18

Number of ways to pick a computer science major representative = 325

Total number of ways to pick one representative who is either a mathematics major or a computer science major = Number of ways to pick a mathematics major representative + Number of ways to pick a computer science major representative

Total number of ways = 18 + 325 = 343

Therefore, there are 343 ways to pick one representative who is either a mathematics major or a computer science major.

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The complete question is:

There are 18 mathematics majors and 325 computer science majors at a college.

In how many ways can two representatives be picked so that one is a mathematics major and the other is a computer science major?

In how many ways can one representative be picked who is either a mathematics major or a computer science major?

Answer:

Step-by-step explanation:

answer for 1 & 2 & 3

Answer:

Given: 3x+5+ 7x +2

Step-by-step explanation:

= 3x + 5 + 7x + 2

= 10x + 7

Answer:i think its 115 degres

Step-by-step explanation:

Answer:

yea I agree that this is correct and it's 15 and it's 4x

Answer:

IK = 7

IJ = 12.124 (sorry the calculator doesn’t want to change to a fraction for this one)

m∠K = 60˚

Step-by-step explanation:

IK: Since you’re trying to find the opposite side of angle J, you’d use the sine trig. function (opp. over hypotenuse).

sin(30) = x/14

14sin(30) = x

x = 7

IJ: Since you’re trying to find the adjacent side of angle J, you’d use cosine (adj. over hyp.).

cos(30) = x/14

14cos(30) = x

x = 12.124...

m∠K: The sum of all three interior angles of a triangle equal 180˚. You already know that a right angle is 90˚, and you already have m∠J = 30˚.

Add:

90˚ + 30˚ = 120˚

Subtract from 180:

180˚ - 120˚ = 60˚

Hope this helped :)

Hello! So...

We are given the following to simplify:

\(7\sqrt{28x^6} -5\sqrt{63x^6}\)

_________________________________________________

To solve this, we must simply simplify.

\(7\sqrt{28x^6} =14\sqrt{7} x^3\)

\(5\sqrt{63x^6}=15\sqrt{7}x^3\)

\(=14\sqrt{7}x^3-15\sqrt{7}x^3\)

Now, add the similar elements:

\(14\sqrt{7}x^3 -15\sqrt{7} x^3=-\sqrt{7}x^3 \\\)

Now, considering we are assuming all variables are positive in this situation, we need to convert the negative into a positive solution.

\(=-\sqrt{7}x^3\)

\(= x^3\sqrt{7}\)

^Hence, our solution.^

______________________________________________________

Hope this helps! If so, please lmk! Thanks and good luck!

The roots of the given equation is real and equal.

Given , 5\(x^{2} \\\) - 10x+ k=0

The quadratic equation is b² - 4ac = 0

Here, a= 5, b= -10, c= k

substitute in b² - 4ac = 0

(-10)² - 4 * 5* k =0

100 - 20k =0 , let this be equation (1)

100 = 20k

k = \(\frac{100}{20}\)

k = 5.

now, substitute  k= 5 in equation (1)

100 -20k = 0

100 - 20*5 = 0

100 - 100 = 0

Therefore, the given equation is real and equal .

The correct question is 5x² - 10x + k =0

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Answer: The question seems unclear on what answer is actually wanted however I'll try showing some steps which make the inequality true but in reversed manner.

y > x2 + 3x – 4
y+4 > x2 + 3x
y + 4 - 3x > x2
4 - 3x > x2 - y
- 3x > x2 - y - 4
x < (x2 - y - 4)/-3

The above ways are some inequalities which can show the inequality true

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  hope it helped
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Answer:

30% of the pages are arithmetic, or 108 pages

Step-by-step explanation:

50% are on algebra = 180 pages

360 x .5 = 180

20% are on geometry = 72 pages

360 x .2 = 72

30% are on arithmetic = 108

180 + 72 + 108 = 360 pages

50% + 20% + 30% = 100%

Answer:

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

\(m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\\)

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are (-11, -19) & (-11, -10)

The slope is

\(m = \frac{ - 10 - - 19}{ - 11 - - 11} = \frac{ - 10 + 19}{ - 11 + 11} = - \frac{9}{0} \\ \)

Any number divided by zero is undefined so the slope of the line here is undefined.

Hope this helps you

3. Both triangles are congruent by ASA congruence theorem.

4. There is no enough information to prove that the triangles are congruent by neither ASA nor AAS.

If two triangles have two pairs of corresponding congruent angles and a pair of corresponding included congruent sides, then both triangles are congruent by ASA congruence theorem.

If two triangles have two pairs of corresponding congruent angles and a pair of corresponding non-included congruent sides, then both triangles are congruent by AAS congruence theorem.

3. Both triangles are congruent by ASA congruence theorem.

4. There is no enough information to prove that the triangles are congruent by neither ASA nor AAS.

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Answer:

Step-by-step explanation:

6) Selling price = ₹ 23.75

Discount = 5%

\(List \ Price = \dfrac{100}{100-discount}*Selling \ price\\\\=\dfrac{100}{95}*23.75\\\\\)

= ₹25

The ratio of the areas of two similar polygons is equal to the square of the ratio of their corresponding side lengths. Since the scale factor of the polygons is 3:8, the ratio of their corresponding side lengths is 3/8. Therefore, the ratio of their areas is (3/8)^2 = 9/64.

The ratio of the areas of two similar circles is equal to the square of the ratio of their radii. Since the scale factor of the circles is 2:3, the ratio of their radii is 2/3. Therefore, the ratio of their areas is (2/3)^2 = 4/9. Since the area of the larger circle is 64π, the area of the smaller circle is (4/9) * 64π = 28.44π.

The ratio of the areas of two similar polygons is equal to the square of the ratio of their corresponding side lengths. Since the ratio of the areas of the two regular pentagons is 150√3/54√3 = 25/9, the ratio of their corresponding side lengths is the square root of the ratio of their areas, which is √(25/9) = 5/3. Therefore, the ratio of their perimeters is 5:3, since the perimeters of regular polygons are directly proportional to their side lengths.

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Yes, an object can have zero velocity and immobile be accelerating together. While participating the object, you will find that the object will continue to move ahead for some time and then stops instantly.

Then the object will start to move in the reverse direction.

at all the velocity is constant, the acceleration is zero. For example, a car traveling at a constant 80 km/h in a straight line has nonzero velocity and zero acceleration.

If acceleration is 0, the velocity is not converted. If the velocity is constant (0 acceleration) then the object will continue needing slowing down or speeding up.

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Okay, here we have this:

Considering the provided expression, we are going to convert it in decimal form, so we obtain the following:

Finally we obtain that number in decimal form is 10.

What is the standard deviation of the data set?

6, 4, 9, 5, 5, 4, 5

Round the answer to the tenths place.What is the standard deviation of the data set?

6, 4, 9, 5, 5, 4, 5

Round the answer to the tenths place.

Step-by-step explanation:

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The z-score are used to measure the probability of data. The  Z-score for a value of 25, to the nearest hundredth is -0.57

The formula for calculating the z-score for normal distribution is expressed as:

z = x - μ/σ

where

x is the value= 25
μ is the mean = 27

σ is the standard deviation = 3.5

Substitute

z = x - μ/σ

z = 25 - 27/3.5
z = -2/3.5
z = -0.57

Hence the  Z-score for a value of 25, to the nearest hundredth is -0.57

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Answer:

x = 57.2

Step-by-step explanation:

Equation:

32.8 + x = 90

x = 90 - 32.8

x = 57.2

Answer:

The answer is option D.

Equation of a line is y = mx + c

m = slope

c = intercept on y axis

y-4= -2/3 (x-6)

y = -2/3x + 4 + 4

y = -2/3x + 8

From the above equation

m= -2/3

Since the lines are perpendicular the slope of the line is the negative inverse of the original line.

so m = 3/2

Equation of the line using point (-2 , -2) is

y + 2 = 3/2(x+2)

y = 3/2x + 3 - 2

y = 3/2x + 1

That's the last option

Hope this helps

The linear equation with the given characteristics is given by:

\(y = \frac{3}{2}x + 1\)

It is given by:

y = mx + b.

In which:

When two lines are perpendicular, the multiplication of their slopes is -1, hence:

\(-\frac{2}{3}m = -1\)

\(2m = 3\)

\(m = \frac{3}{2}\)

Then:

\(y = \frac{3}{2}x + b\)

It passes through the point (-2, -2), hence:

\(-2 = \frac{3}{2}(-2) + b\)

\(-3 + b = -2\)

\(b = 1\)

Hence, the equation is:

\(y = \frac{3}{2}x + 1\)

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The surface area of the cone would be 216. 66 cm².

If the diameter and the slant height of a cone are cut in half, the area would become 1 / 4 of the original area.

The area of a cone is:

SA = πr ( r + l )

= 3.14 x 3 x (3 + 20)

= 3.14 x 3 x 23

= 216. 66 cm²

If the slant height and diameter are cut in half :

Diameter new = 6 / 2

= 3 cm

Slant height :

= 20 / 2

= 10 cm

The new area of the cone is:

=  3. 14 x 1. 5 x (1.5 + 10)

= 3.14 x 1. 5 x 11. 5

= 54. 165 cm²

Compared to the old are:

= 54. 165 / 216. 66

= 1 / 4

When you halve the dimensions, the surface area becomes one-fourth of the original.

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Answer: 19.11

Step-by-step explanation:

Since there are 2 books, multiply 6.5kg by 2.

6.5 x 2 = 13kg

Then, turn kg into Newtons.

F=MG

13x9.8=127.4 N

Then, you multiply that by μ
F=Nμ
127.4x0.15=19.11

Answer:

-30

Step-by-step explanation:

i am not sure just remember getting taught it.

Yes, if a figure can be rotated 360° to be mapped onto itself, it is considered to have rotational symmetry.

This is because a 360° rotation means that the figure will return to its original position, making it symmetrical. Rotational symmetry is a type of symmetry where a figure can be rotated about a central point and still look the same. The degree of rotational symmetry depends on the number of times a figure can be rotated to match its original appearance. Therefore, if a figure can be rotated 360° and maintain its original appearance, it is said to have rotational symmetry of degree 1. This is true regardless of the size, orientation, or position of the figure. Yes, a figure that can be rotated 360° to be mapped onto itself is considered to have rotational symmetry. Rotational symmetry occurs when an object can be rotated around a central point and still appear the same as its original position. In the case of a 360° rotation, the figure returns to its initial configuration, confirming its rotational symmetry.

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Answer:

34.7 ft

Step-by-step explanation:

According to the Pythagorean Theorem:

\(a^2 + b^2 = c^2\)

Where a and b are the legs of the triangle, and c is its hypotenuse.

Solved for the hypotenuse, this is:

\(c=\sqrt{a^2+b^2}\)

In this problem, the width and height of the building represent the a and b values, so we can plug them into the equation to find the hypotenuse.

\(c = \sqrt{(24 ft)^2+(25ft)^2} \\c = 34.7 ft\)

Answer:

x = 109°

The angle at the bottom right corner = 71°

Step-by-step explanation:

Written as a fraction, the amount is 17/20 .

But a fraction actually means "division".  When you see "17/20", it means "17 divided by 20".

If you actually go ahead and DO the division problem (with a pencil or on your calculator) that the fraction is talking about, the answer you get is the same amount as the fraction, but written as a decimal.

The same amount as 17/20, written as a decimal, is 0.85 .

The same amount as 17/20, written as a percent, is  85% .