A realtor uses a lock box to store the keys to a house that is for sale. The access code for the lock box consists of six digits.The first digit cannot be 8 and the last digit must be odd. How many different codes are available?

The name of the solid figure on the below object is indicated in front as follows:

Solid figures refers to three-dimensional objects with dimensions of length, width, and height. They have depth and take up space in our universe because they have three dimensions. The features that distinguish each type of solid are used to identify them.

In real life, solid figures include boxes, dice, tubes, traffic cones, balls, and tents. However, Ppisms, cubes, cones, spheres, pyramids, and cylinders are the most basic solid figures. A composite figure is formed by combining multiple solid figures.

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Answer:

8 hours and 26 minutes

Step-by-step explanation:

To convert 506 minutes to hours and minutes, we can use the fact that there are 60 minutes in one hour.

First, we can divide 506 by 60 to find the number of hours:

506 ÷ 60 = 8 with a remainder of 26

This means that 506 minutes is equal to 8 hours and 26 minutes.

Therefore, the conversion of 506 minutes to hours and minutes is:

8 hours and 26 minutes

Answer:

From your selections of answers, It's B: 12 x^3 - 21 b^5, but it's not completely simplified.

Step-by-step explanation:

Simplify the following:

3 (3 x^3 - 7 b^5) + 3 x^3

3 (3 x^3 - 7 b^5) = 9 x^3 - 21 b^5:

3 x^3 + (9 x^3 - 21 b^5)

Grouping like terms, 9 x^3 + 3 x^3 - 21 b^5 = (3 x^3 + 9 x^3) - 21 b^5:

(3 x^3 + 9 x^3) - 21 b^5

3 x^3 + 9 x^3 = 12 x^3:

12 x^3 - 21 b^5

Factor 3 out of 12 x^3 - 21 b^5:

Answer:  (3 (4 x^3 - 7 b^5)) = 12 x^3 - 21 b^5

The equation of the line passing through the two points (4,2) and (-3,1) is 7y-x-10=0

Equation of a line is an algebraic form of showing the set of points, which together forms a line in a coordinate system.

Given the line passes through the points (4,2) and (-3,1)

Here, x1=4, y1=2, x2=-3, y2=1

So, the slope of the line (m)= \(\frac{y2-y1}{x2-x1}\\\)=\(\frac{1-2}{-3-4}\\\)=\(\frac{1}{7}\)

Now we know, the equation of the line is given as,

y-y1=m(x-x1)

Putting the value of y1 and x1 in the equation we get,

y-2=\(\frac{1}{7}\)(x-4)

7y-14=x-4

7y-x-10=0

Hence the equation of the line that passes through the two points (4,2) and (-3,1) is 7y-x-10=0.

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See below for the solution to the questions

Survey questions that are unbiased must be open-ended and must not assume or limit the respondent to options.

The given question is limited to wonderful lasagna and chicken, and it does not consider respondents that prefer other meals

Hence, the survey question is biased.

The expression is given as:

√27 - √48

Expand

√(9 * 3) - √(16 * 3)

Take the square roots of 9 and 16

3√3 - 4√3

Evaluate the difference

-√3

Hence, the simplified form of the expression √27 - √48 is -√3

The points are given as: (7,12) and (4,15)

The slope (m) is calculated as:

m = (y2 - y1)/(x2 - x1)

This gives

m = (15 - 12)/(4 - 7)

Evaluate

m = -1

The slope of a line perpendicular to the points is:

Slope = -1/m

This gives

Slope  = -1/-1

Evaluate

Slope = 1

Hence, the slope of a line perpendicular to the points is -1

The expression is given as:

\(\frac{9m^{-6}n^2p^{-1}}{12mn^{-5}p}\)

Apply the product and the quotient laws of indices

\(\frac{9n^{2+5}}{12m^{1 + 6}p^{1+1}}\)

Evaluate the exponents

\(\frac{9n^7}{12m^7p^2}\)

Divide 9 and 12 by 3

\(\frac{3n^7}{4m^7p^2}\)

Hence, the expression with positive exponent is \(\frac{3n^7}{4m^7p^2}\)

We have:

P = -25d² + 500d

Differentiate and set to 0

0 = -50d + 500

Add 50d to both sides

50d = 500

Divide by 50

d = 10

Hence, the price at the highest profit is $10

We have:

(5x² + 11x - 9) - (2x² - 3x + 5)

Open the brackets

5x² + 11x - 9 - 2x² + 3x - 5

Collect the like terms

5x² - 2x² + 11x + 3x - 9 - 5

Evaluate the like terms

3x² + 14x - 14

Hence, the simplified expression is 3x² + 14x - 14

The point is given as: (-4,-6)

The slope (m) is given as: -3

The equation is calculated as:

y = m(x - x1) + y1

This gives

y = -3(x + 4) - 6

Expand

y = -3x - 12 - 6

Evaluate

y = -3x - 18

Hence, the equation of the line is y = -3x - 18

The given parameters are:

Songs, n = 60

Selected songs, r = 5

The number of ways to load the 5 songs is:

\(^nC_r = \frac{n!}{(n - r)!r!}\)

This gives

\(^{60}C_5 = \frac{60!}{(60 - 5)!5!}\)

Evaluate the difference

\(^{60}C_5 = \frac{60!}{55!5!}\)

Expand

\(^{60}C_5 = \frac{60 * 59 * 58 * 57 * 56 * 55!}{55!5!}\)

Divide

\(^{60}C_5 = \frac{60 * 59 * 58 * 57 * 56}{5!}\)

Divide

\(^{60}C_5 = 5461512\)

Hence, there are 5461512 ways to load the songs.

The equation is given as:

x² - 4x + 3 = 0

Expand

x² - 3x - x + 3 = 0

Factorize

x(x - 3) - 1(x - 3) = 0

Factor out x - 3

(x - 1)(x -3) = 0

Solve for x

x = 1 or x = 3

Hence, the solutions to the equation are x = 1 and x = 3

We have:

y = 3x² + 2x - 13

Set x = 0

y = 3(0)² + 2(0) -13

Evaluate

y = -13

Hence, the y-intercept of y = 3x² + 2x - 13 is -13

We have:

2x + y = -7

-3x - 2y = 10

Multiply the first equation by 2

4x + 2y = -14

Add this to the second equation

-3x + 4x - 2y + 2y = 10 - 14

Evaluate the like terms

-x = -4

Solve for x

x = 4

Substitute x = 4 in 2x + y = -7

2(4) + y = -7

Expand

8 + y = -7

Solve for y

y = -15

Hence, the solution to the equations is x = 4 and y = -15

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where is the question , without question how can we find the Values

old version of which the answer may be

The elements using rooster-method:

A){3,4,5,6,7,8,9,10}

B){5,6,7,8,9,10,11,12,13,14}

What is rooster-method?

By listing the items of a set inside brackets, the roster method may be used to display the elements of a set. One of three ways to describe a set is in rooster form. The items of a set are listed in the roster form between curly or following brackets, with commas separating each element. When items repeat in the set, the roster approach actually has an issue. Because the elements do not follow a pattern or have a specific order, it is impossible to describe the elements in roster notation if the set has a significant number of elements or any repeated elements.

A)Set of natural odd numbers greater than 2 but less than 11:

Let us represent the set using symbol O:

O = {3,4,5,6,7,8,9,10}

B){x| x∈ N and 4<x<15}

Given that x is a natural number greater than 4 but less than 15.

X={5,6,7,8,9,10,11,12,13,14}

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Answer:yes

Step-by-step explanation: it represents a function

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Consider the next 1000 98% CIs for μ that a statistical consultant will obtain for various clients. Suppose the data sets on which the intervals are based are selected independently of one another. How many of these 1000 intervals do you expect to capture the corresponding value of μ?

What is the probability that between 970 and 990 of these intervals contain the corresponding value of μ? [Hint: Let Y = the number among the 1000 intervals that contain μ. What kind of random variable is Y?]

(Round your answer to four decimal places.)

Answer:

The expected value is

\(E(Y) = n \times p \\\\E(Y) = 1000 \times 0.98 \\\\E(Y) = 980\)

\(P(970 < Y < 990) = 0.9753 \\\\P(970 < Y < 990) = 97.53 \%\)

There is a 97.53% probability that between 970 and 990 of these intervals contain the corresponding value of μ.

Step-by-step explanation:

Consider the next 1000 98% CIs for μ that a statistical consultant will obtain for various clients.

From the above information, we know that,

n = 1000

p = 0.98

How many of these 1000 intervals do you expect to capture the corresponding value of μ?

The expected value is given by

\(E(Y) = n \times p \\\\E(Y) = 1000 \times 0.98 \\\\E(Y) = 980\)

What is the probability that between 970 and 990 of these intervals contain the corresponding value of μ?

We can use the Normal distribution as an approximation to the Binomial distribution since n is quite large and p is also greater than 0.50.

n×p ≥ 10

1000×0.98 ≥ 10

980 ≥ 10  (satisfied)

n×(1 - p) ≥ 10

1000×(1 - 0.98) ≥ 10

20 ≥ 10 (satisfied)

Let Y be the random number among the 1000 intervals that contain μ

\(P(970 < Y < 990) = P(Y < 990) - P(Y < 970) \\\\P(970 < Y < 990) = P( Z < \frac{Y - \mu}{\sigma}) - P( Z < \frac{Y - \mu}{\sigma} )\\\\\)

Where the mean is

\(\mu = 980\)

and the standard deviation is

\(\sigma = \sqrt{n \times p(1-p)} \\\\\sigma = \sqrt{1000 \times 0.98(1-0.98)} \\\\\sigma = 4.4272\)

Finally, the required probability is

\(P(970 < Y < 990) = P( Z < \frac{990 - 980}{4.4272}) - P( Z < \frac{970 - 980}{4.4272} )\\\\\)

We need to consider the continuity correction factor whenever we use continuous probability distribution (Normal distribution)  to approximate discrete probability distribution (Binomial distribution).

\(P(970 < Y < 990) = P( Z < \frac{989.5 - 980}{4.4272}) - P( Z < \frac{969.5 - 980}{4.4272} )\\\\P(970 < Y < 990) = P( Z < \frac{9.5}{4.4272}) - P( Z < \frac{-10.5}{4.4272} )\\\\P(970 < Y < 990) = P( Z < 2.15) - P( Z < -2.37 )\\\\\)

From the z-table, the z-score corresponding to 2.15 is 0.9842

From the z-table, the z-score corresponding to -2.37 is 0.0089

\(P(970 < Y < 990) = 0.9842 - 0.0089\\\\P(970 < Y < 990) = 0.9753 \\\\P(970 < Y < 990) = 97.53 \%\)

Therefore, there is a 97.53% probability that between 970 and 990 of these intervals contain the corresponding value of μ.

The amount of Dividends of $3,000, $5,000, $34,500, and $71,000 were distributed to the 20,000 preferred and 25,000 common shareholders of Lightfoot Inc. over the first four years of operations.

To calculate the dividend per share of the preferred and common stock of Lightfoot Inc., the total amount of dividends paid out over the first four years must first be determined. This can be done by adding the given amounts of $3,000, $5,000, $34,500, and $71,000 to get a total of $113,500. To find the dividend per share for the preferred stock, the total dividend is divided by the number of shares (20,000) which gives a dividend per share of $5.68. To find the dividend per share for the common stock, the total dividend is divided by the number of shares (25,000) which gives a dividend per share of $4.54.

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Step-by-step explanation:

Based on the information given, we have a diagram with two sides labeled as 13.3 mm and 5.5 mm, and another side labeled as X mm.

To find the length of X, we can use the fact that the sum of the lengths of the sides of a triangle is equal to the perimeter.

Perimeter = 13.3 mm + 5.5 mm + X mm

The perimeter is the total distance around the triangle. Since we have three sides, the perimeter is the sum of the lengths of those sides.

To find X, we can subtract the sum of the known sides from the perimeter:

X mm = Perimeter - (13.3 mm + 5.5 mm)

Since the value of X is not given, we cannot calculate it without the perimeter value. If you provide the perimeter value, I can help you find the length of X.

Answer:

Azda has the best value: 4.56

Step-by-step explanation:

azda sells three products for 1.14, so twelve products would cost 4.56(1.14 * 4)

tisco sells four products for 1.56, so twelve products would cost 4.68(1.56*3)

azda has the best value

Answer:

I can't understand anything

Answer:

100x100=10,000

A short and easy trick is to multiply only the first number since the rest are zero. So, multiply 1 and 1: 1 x 1. What do you get? 1, of course. Then, add the rest of the zero's after that. In 100, there are two zero's. In 100, there are two zero's. What is two plus two? Well: 2 + 2 = 4 so, four zero's. After that, add the 4 zero's after the 1. One is extremely important in this problem. 1, one zero, 10, two zero's, 100, three zero's, 1,000, and finally, four zero's, 10,000. So, the trick is to multiply the one by the other one, get 1, and add the zero's in the other numbers. This can work as long as it is something like: 10 x 10, 100 x 100, 1,000 x 1,000, or even beyond. Just remember to add the zero's!

Note: This only works with digits similar to the ones listed below.

Notice that they all have a 1 at the front and zero('s) behind them.

1) 10 x 10

2) 100 x 100

3) 1,000 x 1,000

This can continue to over 100 zero's per digit!

The solution to the expression is A = 10000

Given data ,

Let the expression be represented as A

Now , the value of A is

Let the first number be represented as p

The value of p = 100

Let the second number be represented as q

The value of q = 100

So, A = pq

On simplifying the equation , we get

A = p multiplied by the value of q

And , A = 100 x 100

A = 10000

Therefore , the value of A is 10000

Hence , the expression is A = 10000

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Answer:

D.

Step-by-step explanation:

The answer is 117

Answer: The answer is not listed

Step-by-step explanation:

Answer: The usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen.

Step-by-step explanation: To find the usual dose of ibuprofen for a child, we need to follow these steps:

Therefore, the usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen. Hope this helps, and have a great day! =)

The gradient of the line K that is perpendicular to the line H that has a gradient of 7 is -1/7

Perpendicular lines are lines that form a right angle (90 degrees angle) at the point of their intersection, in which the slope of one of lines is the negative reciprocal of the slope of the other line.

The gradient of the line H = 7

The relationship between the lines K and line H is; Line K is perpendicular to the line H

The slope of a line a, which is perpendicular to another line b with slope m is; -1/m

Therefore, the slope of the line K is -1/7

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Answer:

\( (f - g)x = -4x - 25 \)

Step-by-step explanation:

Given:

\( f(x) = -7x - 12 \)

\( g(x) = 13 - 3x \)

Required:

\( (f - g)x \)

SOLUTION:

\( (f - g)x = f(x) - g(x) \)

\( f(x) - g(x) = (-7x - 12) - (13 - 3x) \)

\( = -7x - 12 - 13 + 3x \)

Collect like terms

\( = -7x + 3x - 12 - 13 \)

\( (f - g)x = -4x - 25 \)

Answer:

Step-by-step explanation:

5=cx-ax=x(c-a)

x(c-a)/5=1

(c-a)/5=1/x

x=5/(c-a)

Answer:

4/10, 6/15, 8/20

Step-by-step explanation:

Answer:

Billing cycle: The period for which transactions are

recorded in a credit card statement

Annual Percentage Rate: Determines the finance charge

payable on credit purchases

Credit Line: The maximum credit available on a credit card

New Purchases: The amounts debited to the credit card account

Step-by-step explanation:

Took the test on Edmentum and got 5/5

Answer:

Step-by-step explanation:480 x o.75=360

and now you add this amount on payed

360 + 480=840 was original price

To propose the equation we first need to remember that:

Let's solve the equation given to help us:

since we have the same logarithm in both sides of the equations this means that their arguments have to be equal then we have that:

From the solution of the equation given we notice that if the number 4 were a 3 instead we will have 9 as a solution (since 27 divided by 3 is 9).

Therefore we can propose the equation:

Just to verify the solution is nine like we want let's solve the equation:

hence the solution is nine and the equation we proposed fullfils what the problem ask for.

The two column proof showing that  ΔWXZ ≅ ΔYXZ is as shown below

From the given triangle, we see that;

Given: WX ≅ XY, XZ bisects WXY

Prove: ΔWXZ ≅ ΔYXZ

The two column proof for the above is as follows;

Statement 1;  WX ≅ XY, XZ bisects 2

Reason 1; Given

Statement 2: ∠WXZ ≅ YXZ

Reason 2; Angle bisector

Statement 3; XZ ≅ XZ

Reason 3: Reflexive property of congruence

Statement 4:  ΔWXZ  ≅ ΔYXZ

Reason 4:  SAS Congruence Postulate

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Answer:

x = 4

Step-by-step explanation:

if a line is parallel to a side of a triangle and it intersects the other two sides then id divides those sides proportionally.

DE is such a line , then

\(\frac{BD}{AD}\) = \(\frac{BE}{EC}\)  ( substitute values )

\(\frac{x+2}{x}\) = \(\frac{3}{2}\) ( cross- multiply )

3x = 2(x + 2)

3x = 2x + 4 ( subtract 2x from both sides )

x = 4

Answer:

4/25 maybe?

Step-by-step explanation:

\(\textit{surface area of a sphere}\\\\ SA=4\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=4 \end{cases}\implies SA=4\pi (4)^2\implies SA\approx 201.1~in^2 \\\\[-0.35em] ~\dotfill\\\\ \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=4 \end{cases}\implies V=\cfrac{4\pi (4)^3}{3}\implies V\approx 268.1~in^3\)