How many 2-letter combinations can be created from the distinct letters in the word "mathematician"? Assume that the
order of the letters does not matter.
28
56
78
156

Step-by-step explanation:

(2x-3)² - (4x+1)(x − 4)

4x² - 12x + 9 - 4x² - 16x + x - 4

group like terms

4x² - 4x² - 12x+x+9-4

-11x + 5

Answer:

(u-4) (u+2)

Step-by-step explanation:

u^2-2u-8

u^+2u-4u-8

u(u+2)-4(u+2)

(u-4) (u+2)

Answer:

its c

Step-by-step explanation:

Answer: Yes, 982,038 is divisible by 3 (:

Step-by-step explanation:

Answer:

Yes ma'm! All I did was divide 982,038 by 3 in the calculator.

Answer:

Toomuch

Imformation

Please= TIP

Tacos

Or

Pizza= TOP

Step-by-step explanation:

In this Drag and Drop Activity Answer 2nd is 162 \(in^{2}\),  Answer 5th is 384 \(in^{2}\),  Answer 6th is 1392 \(in^{2}\) , Answer 7th is 1 roll.

2) In the 2nd figure, we have 5 faces as two equal Right angle Triangles (on two opposite faces) and three rectangles(on three sides of triangles)

Dimensions of both Right Angle Triangle:

Perpendicular = 9in

Base = 12 in ;

Dimensions of Rectangles:

Rectangle 1 : L1 = 15 in

                    B1 = 3 in

Rectangle 2: L2 = 9 in

                    B2 = 3 in

Rectangle 3: L3 = 12 in

                    B3 = 3 in

Area of 2nd figure = Sum of the area of its 5 faces

= Area of two Right angle Triangles + Area of Rectangle 1 + Area of rectangle 2 + Area of Rectangle 3

= \(\frac{1}{2}\) * perpendicular * Base + L1*B1 + L2*B2 + L3*B3   ...................... (Formulas for particular Figures)

= \(\frac{1}{2}\)* 9*12 + 15*3 + 9*3 + 12*3 \(in^{2}\)

= 54+ 45+ 27 + 36 \(in^{2}\)

=162 \(in^{2}\)

Area of 2nd figure = 162 \(in^{2}\)

5) In the 5th figure, we have a cube with all sides equals to 8in. Cube has 6 faces.

The area of the figure is = \(6(side)^{2}\)

= \(6(8)^{2}\)\(in^{2}\)

=384 \(in^{2}\)

Area of 5th figure = 384 \(in^{2}\)

6) Total Amount of wrapping paper needed is the sum of the Area of all Figures

= 364 + 162 + 290 + 192+ 384 \(in^{2}\)

= 1392 \(in^{2}\)

The total amount of wrapping paper needed is = 1392 \(in^{2}\)

7) One Roll of wrapping paper with measurements 30 in and 60 in has an Area

= 30*60 \(in^{2}\)

= 1800 \(in^{2}\)

As we need only 1392 \(in^{2}\) of wrapping paper which is less than one roll of wrapping paper so only 1 roll is required

hence, In this Drag and Drop Activity Answer 2nd is 162 \(in^{2}\),  Answer 5th is 384 \(in^{2}\),  Answer 6th is 1392 \(in^{2}\) , Answer 7th is 1 roll.

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Answer:

E

Step-by-step explanation:

By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042

Answer:

By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042

Step-by-step explanation:

The function for the points are  y = -15x - 5

From the information given, we have that;

The points are;

(1/3,0) (-2 3/4,0) and (0,-5)

Using the point-slope form of a linear equation, we have;

y - y₁ = m(x - x₁)

Such that;

Using (1/3, 0) and (0, -5), we have that the slope is;

m = (0 - (-5))/0 -1/3)

expand the bracket

= 5 / (-1/3)

= -15

Now, take any of the given points and substitute the values

Using (1/3, 0), we get;

y - 0 = -15(x - 1/3).

y = -15x - 5.

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The function for the points solved by  (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)

We have given the points:

(1/3,0) (-2 3/4,0) and (0,-5)

Using the formula of linear equation

\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)                                                          

Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)

that is 1/3 = \(a\), 0 = \(a_{1}\) and

0 = \(b\), -5 = \(b_{1}\)

\(x\) refers to the slope of line (take any variable)

Now for finding the value of \(x\),

\(x=a-a_{1}/b-b_{1}\)

inserting the values,

\(x=[0-[-5]]/[0-1/3]\\x= -15\)

Substitute the value of \(x\) in the equation

\(a-0=-15[b-1/3]\)

By simplifying the equation, we get

\(a=-15b-5\)

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Answer:

So, if there's an answer that's 30 that'd be it.

Step-by-step explanation:

15 + 30 = 50 therefore you add it up.

Answer:

46 qt ma'am

Step-by-step explanation:

Answer: yes this is 46

Step-by-step explanation:

Search it up

Answer:

W = 100

Step-by-step explanation:

2/5 of w is 40

1/5 of w is 40/2, which is 20

Since we know that 1/5w is 20, then we can find w by multiplying both sides by 5 so then we can get rid of 1/5.

20*5 = 100

W = 100

OR

0.4w=40

Divide by 0.4 on both sides

w = 100

Answer: Please refer below mentioned explanation.

Step-by-step explanation:

Part A:

For Bay Side School: To find the median, we arrange the data in ascending order: 0, 0, 2, 3, 4, 5, 5, 5, 6, 6, 8, 8, 8 There are 13 data points, so the median is the 7th value, which is 5.

To find the mean, we sum up all the data points and divide by the number of data points: Mean = (0 + 0 + 2 + 3 + 4 + 5 + 5 + 5 + 6 + 6 + 8 + 8 + 8) / 13 = 66 / 13 ≈ 5.08

For Seaside School: To find the median, we arrange the data in ascending order: 0, 0, 0, 1, 1, 2, 2, 5, 5, 5, 6, 7, 7, 8, 8 There are 15 data points, so the median is the 8th value, which is 5.

To find the mean, we sum up all the data points and divide by the number of data points: Mean = (0 + 0 + 0 + 1 + 1 + 2 + 2 + 5 + 5 + 5 + 6 + 7 + 7 + 8 + 8) / 15 = 57 / 15 ≈ 3.80

Part B:

For Bay Side School: Range = Maximum value - Minimum value = 8 - 0 = 8

For Seaside School: Range = Maximum value - Minimum value = 8 - 0 = 8

Part C:

Based on the measures of the center, Bay Side School has a higher mean and median compared to Seaside School. This suggests that, on average, Bay Side School tends to have larger class sizes than Seaside School. Therefore, if you are interested in a smaller class size, Seaside School would be a better choice. Additionally, both schools have the same range of 8, indicating that the spread of class sizes is similar between the two schools.

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Answer:

Classify the quadrilateral using the name that best describes it.

A) Parallelogram

B) Rectangle

C) Square

D) Trapezoid

Step-by-step explanation:

Answer::

Answer:A two-step equation is an algebraic equation you can solve in two steps. Once you've solved it, you've found the value of the variable that makes the equation true. Example 1 We're given an equation and asked to solve for x x: 3 x + 2 = 14 3x + 2 = 14 We need to manipulate the equation to get x x by itself.

Step-by-step explanation: i took the test and got it right

Answer:

-1

Step-by-step explanation:

As the heading for the column, write y=-x, the y value is the opposite of the x value. The reciprocal function returns the reciprocal, multiplicative inverse of the whatever number is operated upon. The reciprocal of i is i. The reciprocal of -1 is -1.

Answer:

-1/x

Step-by-step explanation:

I hope this is correct

Answer:

x>8 Letter E

Step-by-step explanation:

Reason:

The numerator is \((2.1)^5\)

Raising that to the third power gives

\(((2.1)^5)^3 = (2.1)^{5*3} = (2.1)^{15}\)

We multiply the exponents. The general rule is

\((a^b)^c = a^{b*c}\)

Use that same rule to cube the denominator.

\(((0.9)^4)^3 = (0.9)^{4*3} = (0.9)^{12}\)

Therefore,

\(\left(\frac{(2.1)^5}{(0.9)^4}\right)^3=\frac{((2.1)^5)^3}{((0.9)^4)^3}\\\\=\frac{(2.1)^{5*3}}{(0.9)^{4*3}}\\\\=\frac{(2.1)^{15}}{(0.9)^{12}}\\\\\)

In short

\(\left(\frac{(2.1)^5}{(0.9)^4}\right)^3=\frac{(2.1)^{15}}{(0.9)^{12}}\\\\\)

Answer:

               •₁ same side interior angles  

               •₂ m∠1 = 78°,  m∠2 = 102°

               •₃ oars are parallel, conversed the same side interior angles theorem      

Step-by-step explanation:

•₁

The edge of the kayak is a transversal of lines created by oars. The angles are on the same side of transversal and between the oar-lines (inside the area between lines) so they are same side interior angles (or: consecutive interior angles)

•₂  

x = 10

m∠1 = 6x + 18 = 6•10 + 18 = 78

m∠2 = 9x + 12 = 9•10 + 12 = 102

•₃

The measures of angles 1 and 2 add to 180° (102+78=180) so they are suplementary angles. It means the oar-lines are parallel.

Based on:

Conversed the Same Side Interior Angles Theorem: If two lines are cut by a transversal and the same side interior angles are supplementary, then the lines are parallel.

Answer:its  \pi r^{2}h

Step-by-step explanation:did this before

Answer:

X=28.5

Step-by-step explanation:

Hope this helps!

Answer:

x=28.5

Step-by-step explanation:

x=1+12+23-7,5

x=13+23-7,5

x=36-7,5

x=28,5

:))

Answer:

1. 504 < 1512

2. 12 > 0

3. -2 = -2

4. -1 < 2

Step-by-step explanation:

Given that both sides are being changed by the same amount and sign, the sign never changes. They always have the same value.

The surface area of cone B is 387 square feet.

It is a shape of a christmas tree where there is a base of radius r and a top point called the apex.

We have,

Since the cones are similar, their corresponding dimensions are proportional.

In particular, the ratio of their radii is equal to the ratio of their surface areas.

Now,

Let S be the surface area of cone B, then we have:

ratio of radii = 16.2/5.4 = 3

ratio of surface areas = S/43

Since the ratio of surface areas is equal to the ratio of radii squared,

We have:

3² = S/43

9 = S/43

S = 9 x 43

S = 387

Therefore,

The surface area of cone B is 387 square feet.

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Answer:

<

Step-by-step explanation:

the exponent will tell you how many places u need to move the decimal. 5.7 × 10 to the 2nd power = 570. u moved the decimal 2 places to the right.

Answer:

25 mph

Step-by-step explanation:

.5 = 12.5

1.5 = 37.5 = 12.5 x 3  

all I had to do is times 12.5 x 2 because I found out it was just adding 12.5 ever time

Answer:

Step-by-step explanation:

First quartile is 10

80-70=10