Allen is choosing a 2 letter password from the letters ABCD. the password cannot be the same letter repeated in it .how many such passwords are possible?

Answers

Answer 1

Since we can choose 2 letters and they can not be the same, we have the following possibilities:

[tex]{}\lbrace AB,AC,AD,BC,BD,BA,CB,CA,CD,DA,DB,DC\rbrace[/tex]

As we can note, there are 12 possible combinations of 2 different letters. So, How many such passwords are possible?​ The answer is 12 passwrods


Related Questions

A car company charges $42.50 per day to rent a car in 10 since for every mile driven Lydia wants to rent a car knowing that she plans to drive 225 miles and she has at most a $150 to spend

Answers

Explanation:

d: number of days.

m: number of miles.

The total cost of the car 'y' is:

[tex]y=42.5d+0.1m[/tex]

Lydia plans to drive 225 miles, this is m = 225. And she has $150 to spend, so we have to solve y ≤ 150.

The inequality to solve is:

[tex]\begin{gathered} y\le150 \\ 42.5d+0.1\cdot225\le150 \\ 42.5d+22.5\le150 \end{gathered}[/tex]

Solving the inequality:

[tex]\begin{gathered} 42.5d+22.5\le150 \\ 42.5d\le150-22.5 \\ 42.5d\le127.5 \\ d\le\frac{127.5}{42.5} \\ d\le3 \end{gathered}[/tex]

Lydia can afford 3 days at most.

Answers:

• Inequality: ,42.5d + 22.5 ≤ 150

,

• d ≤ 3

Type the correct answer in each box. Use numerals instead of words. If necessary, use/ for the fraction bar(s).The equation of a circle is given.2+ y²+6x+10y+18=0Determine the center and radius of the circle.) and the radius of the circle isunits.The center of the circle is at (ResetNext

Answers

ANSWER

[tex]\begin{gathered} center=(-3,-5) \\ r=4 \end{gathered}[/tex]

EXPLANATION

Given;

[tex]x^2+y^2+6x+10y+18=0[/tex]

The standard equation of circle of a circle centered at (h,k) with radius r is;

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Re-write the given equation in the standard form, we have;

[tex]\begin{gathered} x^{2}+y^{2}+6x+10y+18=0 \\ x^{2}-6x+(\frac{6}{2})^{2}+y^{2}+10y+(\frac{10}{2})^{2}=-18+9+25 \\ (x-3)^2+(y-5)^2=4^2 \end{gathered}[/tex]

Hence, h=-3, k=-5, radius is 4

complete the function table for the given domain and plot the points on the graph f(x)=2^x-7x. 0. 1. 2. 3. 4. f(x) . . . . graph

Answers

we have the following:

[tex]f(x)=2^x-7[/tex]

replacing:

[tex]\begin{gathered} f(0)=2^0-7=1-7=-6;(0,-6)^{} \\ f\mleft(1\mright)=2^1-7=2-7=-5;(1,-5) \\ f\mleft(2\mright)=2^2-7=4-7=-3;(2,-3) \\ f(3)=2^3-7=8-7=1;(3,1) \\ f(4)=2^4-7=16-7=9;(4,9) \end{gathered}[/tex]

x 0 1 2 3 4

f(x) -6 -5 -3 1 9

wich statement explain how Andy could prove what kind of quadrilateral this is ?

Answers

The first step is to locate the points to find what kind of quadrilateral this is.

The next step is to find the lengths of the diagonals, if both have the same length then the quadrilateral is a rectangle, if the don't the quadrilateral is a parallelogram.

When looking at the picture is easy to determine that the quadrilateral is a parallelogram, but the statement that could prove what kind of quadrilateral this is is C. Find the lengths of the diagonals to show that the quadrilateral is a parallelogram.

(10) When using substitution to solve this system of equations, what is the result of the first step? Eq#1 y = 6x + 3 Eq#2 x + 2y = 5

Answers

Given data:

The first equation given is y = 6x + 3.

The second equation given is x + 2y = 5​.

Subsitute (6x+3) for y in second equation.

[tex]x+2(6x+3)=5[/tex]

Thus, the first option is correct.

find the probability of obtaining five heads when flipping five coins. express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth

Answers

1/32

Explanation:

In an experiment, we can only get head or tail:

Probability of getting a head = 1/2

Probability of obtaining five heads when flipping five coins:

[tex]\begin{gathered} \text{Probability = (1/2)}^{number\text{ of flips}} \\ \text{Probability = (1/2)}^5 \\ \end{gathered}[/tex][tex]\text{Probability = 1/32}[/tex]

1. Given that f(x)=x²-4 and that g(x)=√√x-1:
A. State (f-g)(x) and (fog)(x).
B. State
and determine its domain.
C. Determine whether each of the following functions is odd, even, or neither odd nor
even: f(x)=x²-4, g(x)=√√x-1.
D. State (g/f)(x) and find all vertical asymptotes.
Please show work! Thank you so much!

Answers

[tex](f-g)(x)=f(x)-g(x)=x^2-4-\sqrt[3]{x-1}[/tex] and [tex](f\circ g)(x)=f(g(x))=f(\sqrt[3]{x-1})=(x-1)^{2/3}-4[/tex][tex]\left(\frac{f}g{}\right)(x)=\frac{f(x)}{g(x)}=\frac{x^2-4}{\sqrt[3]{x-1}}[/tex] and domain is all real number except 1. f(x) is an even function and g(x) is neither odd nor even function.

Given the functions are,

[tex]f(x)=x^2-4\\g(x)=\sqrt[3]{x-1}[/tex]

Then the subtraction of functions is given by,

[tex](f-g)(x)=f(x)-g(x)=x^2-4-\sqrt[3]{x-1}[/tex]

Again,

[tex](f\circ g)(x)=f(g(x))=f(\sqrt[3]{x-1})=(x-1)^{2/3}-4[/tex]

And,

[tex]\left(\frac{f}g{}\right)(x)=\frac{f(x)}{g(x)}=\frac{x^2-4}{\sqrt[3]{x-1}}[/tex], it exists when x not equals to 1.

So domain of the function is all real number except 1.

Since, [tex]f(-x)=(-x)^2-4=x^2-4=f(x)[/tex], then the function is an even function.

Since [tex]g(-x)=\sqrt[3]{-x-1}[/tex], so it is neither odd function nor even function.

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For the data shown in the plot below identify a point apart from the main cluster

Answers

(8, 7) or (8.5, 7.5)

See explanation below

Explanation:

From the graph, there are two points away from the main clusters.

This is because their distance compared to other points is far apart. The main cluster is where most of the points are located

The two points are (x, y): (8, 7) and (8.5, 7.5)

In the absence of options, you can pick any of the points as the point that is apart from the cluster.

Need help with dilations mix

Answers

When you add/subtract values to the coordinates of a figure, its size doesn't change, you only move it to another location.

When you multiply the coordinates of a figure, you enlarge it, i.e. create a bigger figure proportional to the original one.

When you divide the coordinates of a figure, you reduce its size.

Since the figure was dilated and not moved, option F is incorrect.

To determine how much it was dilated select any point from the pre image and image and compare them.

For example

G (-2,1)

G'(-5,2.5)

To determine the coefficient used for the dilation divide the x-coordinate of the image point by the x-coordinate of the preimage point:

[tex]\frac{X_{G^{\prime}}}{X_G}=\frac{-5}{-2}=\frac{5}{2}[/tex]

Now do the same to determine the coefficient used in the Y-coordinates:

[tex]\frac{Y_{G^{\prime}}}{Y_G}=\frac{2.5}{1}=2.5[/tex]

2.5 expressed in fractions is 5/2

So the dilation made was (X,Y)→(2/5X,2/5Y)

The correct answer is E.

A house addition is in the shape of a semicircle (a half-circle) with a radius of 9 ft. What is itsarea?

Answers

We find its area as follows:

[tex]A=\frac{1}{2}\pi r^2[/tex]

[This is the equation for the area of a circle divided by 2] Now, we replace the radius:

[tex]A=\frac{1}{2}\pi(9)^2\Rightarrow A=\frac{81}{2}\pi\Rightarrow A\approx127.23[/tex]

So, the area of the semi-circle is approximately 127.23 squared feet.

change these to decimals. 7%, 200%, .3%

Answers

the 7% means

7/100 = 0.07

[tex]7\text{ \% =}\frac{7}{100}=0.07[/tex]

200 % means

200/100 = 2

and 0.3 % means

0.3/100 = 0.003

+ Type a messageSend2Help Mark use completing the square with the algebra tiles to convert this standard form equation to vertexform. Draw the tiles using this method and show the algebraic steps that take you from this equation to itsequivalent vertex form. Then state the vertex.014Show Your WorkCorrect answer y=xThis assignment has been submitted and is no longer editable.Client time: 5/13/2021, 6:06:10 PM (America/Los_Angeles)Server time: 5/13/2021, 6:06:10 PM (-70.44)Missing.omeos StommKB

Answers

From the image.

we have

1 y

1 x^2

6 x

8 (1squares)

We can write the standard equation as

[tex]y=x^{2^{}}+\text{ 6x +8}[/tex]

But we need to express it in vertex form y = a(x-h)^2 + k where (h,k) is the vertex

to complete the squares we need to express the equation as

y = (x^2+6x+8+__)-___

to complete the square we need to add +1 inside the parenthesis and -1 outside

y = (x^2+6x+8+1)-1

We can express the equation

y = (x+3)^2 -1

[tex]y=(x+3)^2-1[/tex]

Perform the indicated operation 2 3/4-(-1 1/2) show all the work and give your answer as a fraction

Answers

2 3/4-(-1 1/2)=

2 3/4 + 1 1/2=

(2+1) (3/4 + 1/2)=

3 + 5/4=

3 + 1 1/4=

4 + 1/4=

4 1/4 or 17/4 or 4.25

Hi I just need a quick and easy explanation for this question I’m having a bit of trouble

Answers

Using the properties of parallel lines and transversal we can calculate the value of ∠5 as 64° .

The two lines are parallel to one another and the intersecting line is the transversal to the parallel lines.

the two given angles whose values are given are

∠4 = 106-y

∠6 = 3y-10

Now we can clearly see that these two angles ∠4 and ∠6 are co-interior angles.

We know that co-interior angles are supplementary.

Hence  ∠4 + ∠6 = 180°

now we will put the values in the equation:

or , 106-y + 3y-10 = 180 °

or , 96 + 2y = 180 °

or,  2y = 84 °

or, y = 42°

Therefore ∠4 =  106 - y = 106° - 42° = 64°

Now from the properties of parallel lines we can see that ∠4 and ∠5 are alternate angles.

Hence  ∠4 = ∠5 = 64°

therefore the value of ∠5 is 64° .

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a chemical company makes two brands of antifreeze. the first brand is 45% pure antifreeze and the second brand is 70% pure antifreeze. in order to obtain 170 gallon of a mixture that contains 65% pure antifreeze how many gallons of each brand of antifreeze mudt be used

Answers

Answer:

The first brand is 34 gallons

The second brand is 136 gallons

Explanation:

Let x represent the first brand, and

y represent the second brand

The total number of gallons of mixture to be obtained is 170, so

x + y = 170 .................................................................................(1)

And

45% of x + 70% of y = 65% of (x + y)

0.45x + 0.7y = 0.65(x + y)

0.45x - 0.65x = 0.65y - 0.7y

0.2x = 0.05y

Divide both sides by 0.05

4x = y ...........................................................................................(2)

Solving (1) and (2) simultaneously

Using (2) in (1)

x + 4x = 170

5x = 170

Divide both sides by 5

x = 170/5 = 34

Put x = 34 in (2)

4(34) = y

y = 136

Give the slope and the Y intercept of the line represented by y-7=-7x

Answers

Answer:

• m=-7

,

• b=7

Explanation:

Given the line:

[tex]y-7=-7x[/tex]

To determine the slope and y-intercept, first, express the line in the slope-intercept form (y=mx+b).

[tex]\implies y=-7x+7[/tex]

You can then compare:

• Slope, m = -7

,

• y-intercept, b =7

The slope of the line is -7 and the y-intercept is 7.

For which graph is the parent function y = x2

Answers

Answer:

Answer d

Step-by-step explanation:

Make sure to get another answer + can you make sure if there is answer choices, please and thx

Rushdoors,

LSPLASH DOORS

:)

7-Which beans are the better deal? O Kidney Beans $1.18 per Ib Lima Beans $2.13 for 2 lbs 7b-What is the Unit Price for the better deal? Round to the nearest hundredth) Put your answer in the form 0.00 07 00, so if answer is 43 cents, its 043 or 43, if there is a dollar amount ke 1.50, do not add zeros in front) Your answer

Answers

Kidney $1.18 per 500g

Lima. $ 2.13. Per 2 lbs= 1000g

Then

Kidney = 1.18 x 1 lb

Lima = 2.13/2= 1.065 x 1 lb

So ANSWER IS :Better deal Is LIMA BEANS

Part 7b

UNIT PRICE for better deal is

LIMA BEANS , At $1.065 per lb

?What is the factored form of x6 - 9?O(x + 3)(x – 3)(x5 + 3)(x – 3)o(x3 + 3)(x2 - 3)o(x3 + 3)(x3 - 3)+DONE

Answers

Answer:

[tex]\lparen x^3+3)\left(x^3-3\right)[/tex]

Explanation:

Given the expression

[tex]x^6-9[/tex]

It can be rewritten as

[tex]x^{2\cdot3}-3^2=\lparen x^3)^2-3^2[/tex]

Use the formula

[tex]a^2-b^2=\left(a+b\right)\left(a-b\right)[/tex]

to get

[tex]\lparen x^3+3)\left(x^3-3\right)[/tex]

which is the factored form of the given expression.

Answer:

It's Option D

Step-by-step explanation:

edge

CWhich of the following is the inverse of F(x)=2x+3?COAa 4520-19B.0 с.OD.103765PREVIOUSG Search or type URI(3,0)(15,0)3YSUBMIT

Answers

We have to find the inverse of the function f(x) = 2x + 3.

We can find the inverse function as:

[tex]\begin{gathered} f(f^{-1}(x))=x \\ 2f^{-1}(x)+3=x \\ 2f^{-1}(x)=x-3 \\ f^{-1}(x)=\frac{1}{2}x-\frac{3}{2} \end{gathered}[/tex]

From the options we can see that the slope has to be positive, so we can discard optiosn B and C.

Then, we can check option A:

- It has a y-intercept of -1.5, which is equal to -3/2.

- The x-intercept is (3,0), what indicates that it increases 0.5 units of y per unit increase in x. This corresponds to a slope of 0.5 or 1/2.

Then, as both characteristics match with the equation of the inverse, the right representation is option A.

Answer:

The inverse is f^-1(x) = 1/2*x - 3/2 [Option A]

how does a to the 4 b to -5 over c to -3 d to the 6th get simplified?

Answers

Given the expression

[tex]\frac{a^4b^{-5}}{c^{-3}d^6}[/tex]

To simplify the expression above, we convert all negative indices to positive indices

Applying the rule of indices

[tex]a^{-x}=\frac{1}{a^x}[/tex]

Applying the rule to the given expression gives

[tex]\begin{gathered} \text{Where b}^{-5}=\frac{1}{b^5}\text{ and} \\ c^{-3}=\frac{1}{c^3} \end{gathered}[/tex]

Substitute the above deduction into the given expression

[tex]\begin{gathered} \frac{a^4b^{-5}}{c^{-3}d^6}=a^4\times\frac{1}{b^5}\times\frac{1}{\frac{1}{c^3}}\times\frac{1}{d^6} \\ \text{Where }\frac{1}{\frac{1}{c^3}}=c^3 \\ =a^4\times\frac{1}{b^5}\times\frac{1}{\frac{1}{c^3}}\times\frac{1}{d^6}=a^4\times\frac{1}{b^5}\times c^3\times\frac{1}{d^6} \\ =\frac{a^4c^3}{b^5d^6} \\ \frac{a^4b^{-5}}{c^{-3}d^6}=\frac{a^4c^3}{b^5d^6} \end{gathered}[/tex]

Hence, the simplified form is

[tex]\frac{a^4c^3}{b^5d^6}[/tex]

Find the equation of the axis symmetry:Find the x-intercept(s):and y-intercept(s):Find the coordinates of the vertex:

Answers

Step 1

Find the equation of the axis of symmetry

[tex]\begin{gathered} From\text{ the graph the zeroes are} \\ x=-2 \\ \text{and} \\ x=4 \end{gathered}[/tex][tex]\begin{gathered} \text{Hence the function is } \\ y=(x+2)(x-4) \\ y=x^2-4x+2x-8 \\ y=x^2-2x-8 \end{gathered}[/tex]

The equation of symmetry is given as

[tex]\begin{gathered} x=\frac{-b}{2a} \\ b=-2 \\ a=1 \\ c=-8 \end{gathered}[/tex][tex]\begin{gathered} x=\frac{-(-2)}{2(1)} \\ x=\frac{2}{2}=1 \\ x=1 \end{gathered}[/tex]

Step 2

Find the x-intercepts

[tex]\begin{gathered} \text{From the graph, the x-intercepts are}; \\ (4,0),(-2,0) \end{gathered}[/tex]

Step 3

Find the y-intercepts

[tex]y\text{-intercept; (0,-8)}[/tex]

Step 4

Find the coordinates of the vertex

[tex]The\text{ coordinates of the Vertex ; (1,-9)}[/tex]

What plus Ten equals thirty two

Answers

What plus Ten equals thirty two is equivalent to

x + 10 = 32

10 is adding on the left, then it will subtract on the right

x = 32 - 10

x = 22

f(x) = -x^2 + x + 13Find f(9)

Answers

To answer this question, we need to substitute the value of 9 into the quadratic function as follows:

[tex]f(9)=-(9)^2+9+13=-81+22\Rightarrow f(9)=-59[/tex]

Therefore, the answer is f(9) = -59.

HiI’m bad at math I decided to practice but get confused Not is not assignment

Answers

Solution

Name an acute angle for which each of the angles are associated in terms of trig ratios:

Trigonometry ratios include sine, cosine and tangent

The associated angles interms of relation to acute angle is which of them is equivalent

[tex]sin150=sin30[/tex][tex]tan225=tan45[/tex][tex]cos300=cos60[/tex]

13. You have $19.50 to buy subs for a party. Each sub costs $5.10. Estimate how many subs you can buy. Is your estimate too little or too much?

Answers

Let N be the number of subs, then we can write the following relationship:

[tex]5.10\cdot N=19.5[/tex]

That is, this equality gives us the number of subs we can buy. If we move 5.10 to the right hand side, we have

[tex]\begin{gathered} N=\frac{19.50}{5.10} \\ N=3.82 \end{gathered}[/tex]

this means that we can buy 4 subs approximately.

what is the best estimate for the value of the expression? [tex] ( \frac{34}{8} - \frac{16}{3}) - \frac{14}{9} [/tex]A. -3B.[tex] - 2 \frac{1}{2} [/tex]C. 7D. [tex]7 \frac{1}{2} [/tex]

Answers

-95/34

Explanation:

[tex](\frac{34}{8}-\frac{16}{3})-\frac{14}{9}[/tex]

Simplify the expresssion:

[tex]\begin{gathered} \text{LCM for the one in the bracket is 24} \\ \frac{34(3)-8(16)}{24}-\frac{14}{9} \\ \frac{102-128}{24}-\frac{14}{9} \\ =\text{ }\frac{-26}{24}-\frac{14}{9} \end{gathered}[/tex][tex]\begin{gathered} \frac{-26(3)\text{ -14(8)}}{72} \\ =\text{ }\frac{-78-112}{72}=\text{ }\frac{-190}{72} \\ =\frac{-95}{36} \end{gathered}[/tex]

None of the options has this value.

There is likely an error in question.

Question 3: 11 ptsArating for the school bus, Bruce records the colors of all cars passing through an intersection. The tablethe results. Estimate the probability that the next car through the intersection will be black. Express youras a percent. If necessary, round your answer to the nearest tenth.

Answers

To find the probability that the next car through the intersection will be black divide the number of black car by the total number of cars.

The total number of cars is the sum of the number of cars of each color, which is 58.

[tex]P=\frac{9}{58}=0.155[/tex]

Expressed as a percent it is 15.5%.

It means that the correct answer is the last choice.

Find the surface area of this cone. I think the inside is hollow? Im not sure what to do with this problem to be honest

Answers

Let us start this problem by analyzing the area we want to calculate

.

To calculate the surface area we will divide the are in two parts:

[tex]\text{ The total area = Area of the base + area of the inner and outer cone}[/tex]

The area of the base:

The area of the base can be calculated as the difference between the areas of the to disks , as follows:

[tex]\begin{gathered} \text{ Area of the base=Area of the outer disk - area of the inner disk} \\ =\pi(12)^2-\pi4^2 \\ \\ =128\pi \\ \end{gathered}[/tex]

Where we use twice the formula for the area of a circle pi*radius^2, for the outer disk the radius is 12 and for the inner disk the radius is 4.

The lateral area of the two cones, the outer and the inner

Now we will calculate the lateral area of a cone (that is we will not include the base) this area is illustrated by the following draw:

The lateral area of a cone can be calculated using the next formula

[tex]\text{ Lateral area of a cone=}\pi r\sqrt{h^2+r^2}[/tex]

Where h is the height of the cone, and r is the radius of the base, for the bigger cone we know from the figure that the height is 6 ft and the radius is 12 ft, for the smaller cone we also know from the figuere that the height is 3 ft and the radius is 4 ft. Therefore we can calculate:

[tex]\begin{gathered} \text{ Lateral area of the bigger cone= }\pi12\sqrt{6^2+12^2} \\ \\ =12\pi\sqrt{180} \end{gathered}[/tex]

and

[tex]\begin{gathered} \text{ Lateral area of the smaller cone= }\pi4\sqrt{3^2+4^2} \\ \\ =4\pi\sqrt{25} \\ \\ =20\pi \end{gathered}[/tex]

Finally, putting all the areas together we find that:

[tex]\begin{gathered} \text{ The total area= The area of teh base+ the lateral area of the two cones} \\ \\ =128\pi+12\sqrt{180}\pi+20\pi \\ \\ =148\pi+12\sqrt{180}\pi \\ \\ =148\pi+72\sqrt{5}\pi \end{gathered}[/tex]

Dan is a software salesman. His base salary is $2200, and he makes an additional $120 for every copy of History is Fun he sells.Let P represent his total pay (in dollars), and let N represent the number of copies of History is Fun he sells. Write an equation relating P to N. Then use this equation to find his total pay if he sells 23 copies of History is Fun.

Answers

We will have the following:

The equation in this case is:

[tex]P=120N+2200[/tex]

So, if he sells 23 copies, he will make:

[tex]P(23)=120(23)+2200\Rightarrow P(23)=4960[/tex]

So, he would make $4960.

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