Find the number of permutations of the first 10 letters of the alphabet, taking 3 letters at a time.




1040



980



720



630

Answer:

Question 1 -  f(x) = | x | - 2

First, let's find the 5 values requested:

x = -2 ==> | x | - 2 = | - 2 |  - 2 = 2 - 2 = 0

x = -1 ==> | x | - 2 = | - 1 |  - 2 = 1 - 2 = -1

x = -0 ==> | x | - 2 = | 0 |  - 2 = 0 - 2 = -2

x = 1 ==> | x | - 2 = | 1 |  - 2 = 1 - 2 = -1

x = 2 ==> | x | - 2 = | 2 |  - 2 = 0 - 2 = -2

You can see the plotted graph attached.

Question 1 -  f(x) = | x  - 1 | - 1

First, let's find the 5 values requested:

x = -2 ==> | x  -  1 | - 1 = | - 2 - 1 |  - 1 = | - 3 | - 1 = 3 - 1 = 2

x = -1 ==> | x  -  1 | - 1 = | - 1 - 1 |  - 1 = | - 2 | - 1 = 2 - 1 = 1

x = 0 ==> | x  -  1 | - 1 = | 0 - 1 |  - 1 = | - 1 | - 1 = 1 - 1 = 0

x = 1 ==> | x  -  1 | - 1 = | 1 - 1 |  - 1 = | 0 | - 1 = 0 - 1 = -1

x = 2 ==> | x  -  1 | - 1 = | 2 - 1 |  - 1 = | 1 | - 1 = 1 - 1 = 0

You can see the plotted graph attached.

Answer:

100.8°

Step-by-step explanation:

∠POR = ∠POQ + ∠QOR

∠POQ is 20% of 360° ( measure of the angles in a circle )

= 0.2 × 360° = 72°

∠QOR is 8% of 360° = 0.08 × 360° = 28.8°

Hence

arc PR = ∠POR = 72° + 28.8° = 100.8°

Answer:

Step-by-step explanation:

(7y)² = 7²×y² = 49y²

In order to simplify the expression (7y)^2, we need to apply the exponent to both the numerical coefficient and the variable inside the parentheses. Here's how to do it step-by-step:
1. The expression (7y)^2 denotes that everything inside the parentheses is to be squared. That means we multiply 7y by itself.
2. When squaring a product, we square each factor separately. So we have to square both the 7 and the y.
3. Squaring 7 gives us 7^2, which equals 49.
4. Squaring the variable y gives us y^2.
5. Now, we multiply 49 by y^2 to combine our results.
Putting these steps together, we see that (7y)^2 simplifies to 49y^2.
The final simplified expression without parentheses is 49y^2.

Answer:

∠H= 109º

∠F = 71º

∠G = 109º

Step-by-step explanation:

∠I = 71º

Interior opposite angles of parallel lines sums up to 180º.

∠H = 180 - 71 = 109º

Line IH is equal to Line FG.

∠F = ∠I

∠F = 71º

∠G = ∠H

∠G = 109º

ANSWER

The next two terms are

338, 434

EXPLANATION

The given sequence is 14,38,74,122,182,254

Let us observe some pattern and use it to find the next two terms.

14+24=38

38+36=74

74+48=122

122+60=182

182+72=254

To get the next term we add 84 to 254

254+84=338

To get the next term,we add 96 to 338

338+96=434

Answer:

The diameter of the circle is [tex]D=36\ in[/tex] and the radius is [tex]r=18\ in[/tex]

Step-by-step explanation:

we know that

The circumference of a circle is equal to

[tex]C=\pi D[/tex]

where

D is the diameter of the circle

we have

[tex]C=113.04\ in[/tex]

substitute and solve for D

[tex]113.04=(3.14)D[/tex]

[tex]D=113.04/(3.14)[/tex]

[tex]D=36\ in[/tex]

Find the radius r

[tex]r=36/2=18\ in[/tex] -----> the radius is half the diameter

Answer:

225/756

Step-by-step explanation:

275+256+225

=756

We want to know what are the odds of selecting a seventh grader which is:

225/756

Answer:

y = 51.3°

Step-by-step explanation:

tan(y) = Opp./Adj

tan(y) = 10/8

tan(y) = 1.25

y = 51.3°

Answer:

8

Step-by-step explanation:

We want to evaluate the function f(x) = 3(log to the base 2 of x) + (log to the base 2 of 1/x) at x = 16.

Note that 2^4 = 16, so (log to the base 2 of 16) is 4.

Also note that 1/16 = 1/(2^4), so (log to the base 2 of 1/(2^4 is -4.

In summary, f(x) = 3(log to the base 2 of x) + (log to the base 2 of 1/x) at x = 16 is equal to 3(4) -4, or 8.

option B is right answer

Solving Trigonometric Equations Using Inverses Quiz part 1

1. -2

2. -0.36

3. C

4. tan^2theta = sin^2theta × sec^2theta (This Question)

5. 60 degrees

6. 0.71

7. 0.09

8. 2pi/3 , 4pi/3

9. pi/4 , 5pi/4

Step-by-step explanation: I just took it...

These are the correct answers you're welcome

Answer:

option B

Step-by-step explanation:

Use a compass to draw a circle centered at B with a radius that is length of AB.

then  draw a circle centered at A with a radius that is length of AB

join the point of intersection of two circles through straight lines to point A and point B.

!

Answer with explanation:

Given a circle having center A, and radius equal to AB.

   One side of equilateral Triangle = AB

We have to draw two sides which have length equal to AB.

Draw a circle having center B and radius equal to AB.The Circle will pass through center A and cuts the Original circle at P.Join AP and BP.This is the equilateral triangle that we are interested in.

The Next in the construction of an equilateral triangle is:

Option B:→ Use a Compass to draw a circle centered at B with a radius that is equal to AB.

Answer:

  B:  -34

Step-by-step explanation:

The given angles are supplementary, so you have ...

  (2x+146) + (4x+238) = 180

  6x +384 = 180 . . . . . simplify

  6x = -204 . . . . . . . . . subtract 384

  x = -34 . . . . . . . . . . . .divide by 6

_____

Check

angle F is (2·(-34)+146)° = 78°

angle C is (4·(-34)+238)° = 102°

These angles indeed are supplementary, so the answer checks OK.

X=-34; add both expressions together and solve for x

The correct answer is A. 46%

Answer:5√2(cos(−π/4)+ isin(−π/4)) is in trig form

Step-by-step explanation:

ANSWER

(1,0) is a solution

EXPLANATION

The given inequality is

[tex]y \leqslant |x + 2|- 3[/tex]

We substitute the point to see which ones satisfy the inequality.

For (1,0)

[tex]0\leqslant|1+ 2|- 3[/tex]

[tex]0\leqslant 0[/tex]

This is true.

(1,0) is a solution.

For (-1-1)

[tex]- 1\leqslant | - 1 + 2|-3[/tex]

[tex]- 1\leqslant-2[/tex]

False

(-1,-1) is not a solution.

For (0,0)

[tex]0\leqslant|0+2|-3[/tex]

[tex]0\leqslant- 1[/tex]

False.

For (0,1)

[tex]1\leqslant|0+ 2|-3[/tex]

[tex]1\leqslant-1[/tex]

This is also false

Answer: x=7 y=8

Step-by-step explanation:width is x and the width is 7inches

height is y and the diagonal length 8inches

Answer:

There similar

Answer: Similar and Same shape

Step-by-step explanation:

I got it wrong and these were the correct answers ON G

answer for this question is (b)2X

The phrase "the product of 2 and a number" written as a mathematical expression is 2x

Given:

The product of 2 and a number

Let

The unknown number = x

So,

The product of 2 and a number

= 2 × x

= 2x

Therefore, the product of 2 and a number is written as 2x

Learn more about maths expression:

https://brainly.com/question/4344214

The work done by the force field  on the object moving on the parabola y=7x^2 from (0,0) to (4,112) is calculated by integrating the force along the path. The total work done is found to be 224 units of work.

To find the work done by a variable force on an object moving along a given curve, we utilize the concept of a line integral in vector calculus. Given the force field F =  and the parabolic path described by y = 7x2, from point (0,0) to (4,112), we want to integrate the force field along the curve. To calculate this line integral, we parameterize the curve using x as the parameter, since y is already expressed as a function of x. We then express the force field in terms of x, evaluate the dot product of the force field and the differential of the position vector, and integrate from the start to the end of the curve.

The work, W, is found by integrating the dot product of F and dx from the initial to the final position:
W = \\int (F . dx).

In our case, the force field becomes F(x, y(x)) = F<7x2, x> = <7x2, x>. The differential displacement along the parabola, expressed in vector form, is dx = <1, 14x>dx because dy/dx = d(7x2)/dx = 14x. Thus, the infinitesimal work is dW = F .dx = 7x2 * 1dx + x * 14xdx = 21x2dx. Finally, we integrate from x = 0 to x = 4 to find the total work:

W = \\int_{0}^{4} 21x2dx = 7x3\\right]_{0}^{4 = 7 * 43 = 224.

Therefore, the work done by the force field along the parabolic path from (0,0) to (4,112) is 224 units of work.

The work required to move an object along the parabola y = 7x^2 from (0,0) to (4,112) under the force field F = <y, x> is approximately 149.33 units.

To find the work required to move an object along a curve under the influence of a force field, we can use the line integral of the force field along the curve. The line integral is given by the formula:

∫ F · dr = ∫ (F1 dx + F2 dy)

Given the force field F = <y, x> and the parabola y = 7x^2, we need to parameterize the curve to express it in terms of a single variable.

Let's parameterize the curve using x as the parameter:

x(t) = t

y(t) = 7t^2

Now, we can calculate the differential elements dx and dy:

dx = x'(t) dt = dt

dy = y'(t) dt = 14t dt

Substitute the expressions for F, dx, and dy into the line integral formula:

∫ F · dr = ∫ (y dx + x dy)

            = ∫ (7t^2 dt + t * 14t dt)

            = ∫ (7t^2 + 14t^2) dt

            = ∫ 21t^2 dt

            = 7t^3 / 3 + C

Evaluate the integral from t = 0 to t = 4:

Work = [7(4)^3 / 3] - [7(0)^3 / 3]

    = (7 * 64 / 3) - 0

    = 448 / 3

    ≈ 149.33

Therefore, the work required to move an object along the parabola y = 7x^2 from (0,0) to (4,112) under the force field F = <y, x> is approximately 149.33 units.

Answer:

Step-by-step explanation:

Area of a circle is A = πr², and diameter of a circle is d = 2r.

d = 2r

72 = 2r

r = 36

A = πr²

A = π(36)²

A = 1296π

A ≈ 4069

Math is right about the answer

Final answer:

To calculate the commission, multiply the sale price of $8,800 by the commission rate of 5% to get a commission of $440.

Explanation:

The question is asking to calculate the commission a salesperson earns from selling a used car. The salesperson earns a 5% commission on the sale price of the car, which is $8,800. To find the commission, we multiply the sale price by the commission rate:

Sale Price = $8,800
Commission Rate = 5% (or 0.05 in decimal form)

Commission = Sale Price × Commission Rate
Commission = $8,800 × 0.05
Commission = $440

Therefore, the salesperson earns a commission of $440.

Answer: [tex]x\geq0[/tex] or [tex][0,\infty)[/tex]

Step-by-step explanation:

You have the function:

[tex]y=\sqrt{x}[/tex]

The domain of the function is the set of all the possible input values that the function can has.

We know that the square root of a negative number is not defined in the Real numbers. Therefore, "x" cannot be a negative number.

Then the domain of f(x) will be:

[tex]x\geq0[/tex] or [tex][0,\infty)[/tex]

Answer:

Step-by-step explanation:

Can you write this as y = √x?

The domain of the function y = √x is [0, ∞ ).  In elementary algebra, before you encounter imaginary numbers, y = √x is not defined for negative x.

Answer:

  see below

Step-by-step explanation:

The images are mirrored right/left, so the reflection must be across the y-axis. That only leaves two answer choices.

If you translate ABC to the left, you will put it entirely in quadrant II, so reflection across the y-axis will put it in quadrant I. Obviously, that is not the correct sequence of transformations.

If you translate ABC 3 units to the right, it will put line AB on x=2. Then reflection across the y-axis will put that vertical segment on x = -2, exactly where corresponding segment DE is located.

The appropriate choice is the one shown below:

Answer:

  $2169.49

Step-by-step explanation:

The mortgage payment is ...

  A = (210,000·0.95)(0.045/12)/(1 -(1 +0.045/12)^(-12·15)) ≈ 1526.16

The monthly set-aside for taxes is ...

  3.5%·200,000/12 = 583.33

The monthly set-aside for insurance is ...

  720/12 = 60

So the total of P&I + taxes + insurance will be ...

  $1526.16 +583.33 +60.00 = $2169.49

Answer:

2202.72

Step-by-step explanation:

just got the answer right on the quiz

Answer:

16

Step-by-step explanation:

1 gallon is equal to 8 pints.

2 gallons is equal to 16 pints.

Answer:

  C)  f(x) = tan^-1(x)

Step-by-step explanation:

The question is equivalent to asking which trig function passes the horizontal line test over the domain (-90°, 90°). Both the sine function and the tangent function are defined on that domain and pass the horizontal line test.

The inverse sine function has a range of [-90°, 90°] (with square brackets, signifying the end points are part of the range). The inverse tangent function does not have a range that includes ±90°, so is a better match for the range in the question.

this question isn't fully complete. comment a full question below and I'll try for ya ;) - Josie Annette

Answer:

Option a

[tex]f(x) = e^{x-1} -2[/tex]

Step-by-step explanation:

If the graph of the function [tex]y=f(x+h) +b[/tex]  represents the transformations made to the graph of [tex]y= f(x)[/tex]  then, by definition:

If [tex]b> 0[/tex] the graph moves vertically upwards b units.

If [tex]b <0[/tex] the graph moves vertically down  b units

If [tex]h<0[/tex] The graph moves horizontally h units to the right

If [tex]h>0[/tex] The graph moves horizontally h units to the left

In this problem we have the parent  function [tex]y=e^x[/tex]

We know that the parent function is translated 1 unit rigth and 2 units down.

This is:

[tex]h<0 = -1\\\\b < 0 = -2[/tex]

Finally the transformation is:

[tex]y=f(x-1) -2[/tex]

[tex]f(x) = e^{x-1} -2[/tex]

Answer:

z = [tex]\frac{5}{3}[/tex]

Step-by-step explanation:

Given z is directly proportional to x and inversely proportional to y then the equation relating them is

z = [tex]\frac{kx}{y}[/tex] ← k is the constant of proportionality

To find k use the condition x = 7, y = 7 and z = 2

k = [tex]\frac{zy}{x}[/tex] = [tex]\frac{2(7)}{7}[/tex] = 2

z = [tex]\frac{2x}{y}[/tex] ← equation of proportionality

When x = 10 and y = 12, then

z = [tex]\frac{2(10)}{12}[/tex] = [tex]\frac{20}{12}[/tex] = [tex]\frac{5}{3}[/tex]

Answer:

96in^2

Step-by-step explanation:

because first find the area of two sides (Length*Height)*2 sides.

Find the area of adjacent sides (Width*Height)*2 sides.

Find the area of ends (Length*Width)*2 ends.

Add the three areas together to find the surface area.

Example: The surface area of a rectangular prism 5 cm long, 3 cm.

Answer:

96

Step-by-step explanation:

Did quiz