Evaluate the expression, writing the result as a simplified complex number.My answer 3iI know is wrong but I don’t know why.

Answer

The answer = 5,184,000,000

There are 5,184,000,000 possible phone numbers.

Explanation

The question told us that telephone numbers are in the form NYZ-ABC-XXXX, then proceeds to give us the restrictions on some of the positions available.

- N can only be numbers: 2-9;

- Y can only be numbers 0-7

- and A&C cannot be 2

We are then told to calculate the number of phone numbers possible.

This question is a special type of permutation and combination.

To solve it, it will be a multiplication of the possible numbers that can take up each position.

N, can only be numbers 2 to 9. Number of possible digits = 8

Y, can only be numbers 0 to 7. Number of possible digits = 8

Z, no restriction, can have numbers 0 to 9. Number of possible digits = 10

A, number cannot be 2. Number of possible digits = 9

B, no restriction, can have numbers 0 to 9. Number of possible digits = 10

C, number cannot be 2. Number of possible digits = 9

X, no restriction, can have numbers 0 to 9. Number of possible digits = 10

X, no restriction, can have numbers 0 to 9. Number of possible digits = 10

X, no restriction, can have numbers 0 to 9. Number of possible digits = 10

X, no restriction, can have numbers 0 to 9. Number of possible digits = 10

Total number of possible phone numbers

= 8 × 8 × 10 × 9 × 10 × 9 × 10 × 10 × 10 × 10

= 5,184,000,000

Hope this Helps!!!

We have the following division:

for this, we have to divide each remainder by x, and use the law of signs in reverse order. The division will look like this:

Therefore, the result of the division is:

Answer:

Amount of increase = 60

Percent of increase = 40%

Explanation:

The amount of increase is equal to the difference between the new amount and the original amount. So, it is equal to:

New amount - Original amount = 210 - 150 = 60

Then, the percent of the increase is equal to the amount of increase divided by the original amount, so:

Amount of increase/Original amount = 60/150 = 0.4

Therefore, the answers are:

Amount of increase = 60

Percent of increase = 0.4 = 40%

3

1) The number to be found, is a multiple of 5 and also greater than 526 but also lesser than 541.

2) So we have, the next number whose last digit is 5 immediately greater than 526 and lesser than 541 is 535

3) So 3 is the missing digit

From the information on the pie chart, the proportion of students that participated in dances is 20 out of 100.

Then, if we represent this in a bar chart where 100% is 10 squares, the proportion of students that participated in dances should be represented by:

Answer: 2 shaded squares out of 10 squares

First option describes line e: Each point is less than 4 units from the y-axis.

The second option describes line f:

Answer:

The values of h and k are 9 and -8, respectively

Step-by-step explanation:

This is how to determine the values of h and k

The vertex of the function g(x) is located at (9, –8)

The vertex of a function is represented as:

Vertex = (h,k)

This means that:

(h,k) = (9,-8)

By comparison, we have:

h = 9 and k = -8

So, the values of h and k are 9 and -8, respectively

Answer:

A is correct.

0 < x < 75 represents the correct domain.

Answer:

$663.95

Explanation:

Given the following:

Original price of a camera: $799.95

Discount: 17%

Discounted price = 17% of original price of the camera

Discounted price = 0.17*$799.95

Discounted price = $135.99

Selling price = Original Price - Discounted price

Selling Price = $799.95 - $135.99

Selling price = $663.96

Hence the selling price is $663.95

First we can simplify the result

in order to know the missing fraction, we will call x

we can check it

Given:

Find: Slope - intercept form.

Sol:

Slope - intercept form:

Slope intercept form of equation is:

The equation is:

P = 5M

The graph is shown in the explanation

Given that a printer prints 5 photos per minute.

Since P represents the number of photos printed in M minutes, we have:

The graph of this is shown below:

We need to first determine the expression of the line, for that we will use the point slope form, which is given below:

Where m is the slope and (x1, y1) are the coordinates of a known point on the line.

Now we need to graph it, for that we need two points. We already know the coordinates of one of them (5,2), now we need another, we can use the point for which x is equal to 0.

Now we have (0, 23/4). We need to draw a line that passes

D = RT

Where

D is distance

R is speed

T is time

Distance of student 1:

Distance of student 2:

Now,

When they meet, their distance would total 100, so we can write:

We can also write:

The budget of a new house can only afford 1/4 of the floor area

the total area of the floor is designed to be 2200 square feet

15% of the floor is tiled

let the budget be x

area to be done in ceramic tile is 1/4 x the total budget

1/4 * 2200 = 550

550 square feet area of the floor will be use for ceramic tiles alone

SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

The details of the solution are as follows:

CONCLUSION:

The final answer is:

( OPTION C )

let s1 and s2 be the distance covered by the two buses

s1 + s2 = 350 ................................eqn I

velocity (v) = distance (s)/time (t) .........................eqn II

from eqn II the velocity of the first bus, v1 = s1/t1

s1 = v1t1 .................................eqn III

velocity of the second bus, v2 = s2/t2

s2 = v2t2 ...........................eqn IV

substitute eqn III and eqn IV into eqn I

v1t1 + v2t2 = 350

the time taken for any two moving objects to simultaneously cover any distance is equal. Thus,

t1 = t2 = t

eqn V becomes

v1t + v2t = 350

t(v1 + v2) = 350

v1 = 40

v2 = 60

t(40 + 60) = 350

100t = 350

divide both sides by 100

100t/100 = 350/100

t = 3.5 hours

Answer:

3

Step-by-step explanation:

0+1=1-1+0+2=3-3+1+2+0-1=4

Given that:

- There are 15 strawberry chews in the bag.

- There are 5 cherry chews in the bag.

You know that there is no orange chew in Kaylee's bag. Therefore, knowing this, you can determine that the probability that Kaylee reaches in without looking and pulls out an orange chew is:

By definition, the probability is zero when it is impossible for the events to happen.

Since there is no orange chew in her bag, it is impossible that she reaches in

without looking and pulls out an orange chew.

Hence, the answer is: Impossible.

To find the leg, we have to use the Pythagorean's Theorem

Where c = 6, a = 2.

Ty hiked up a mountain to 2523 meters above sea level.

Height of the TY above the sea level = 2523meter

. Pete is a scuba diver and dove 319 meters below sea level

Depth of the Pete = 319 meter

To find the how much higher was Ty than Pete,

Find the differecne between thier disatnce from sea level

Answer: Ty was 2204 meter higher than Pete

We have the following:

5)

solving for x:

6)

solving for x:

Given the graph that shows the results of the survey, you know that it shows the results of 3 price surveys conducted at 4 area supermarkets in 3 months.

Notice that the white bar represents the results of September, the dashed bar represents the results in November and the black bar represents the results in March.

You can identify that on the x-axis are written the 4 area supermarkets and, on the y-axis are represented the prices in dollars.

Therefore, in order to identify the supermarket that lowered the price of the frozen beef dinners by the greatest dollar amount between September and November, you need to identify the supermarket that has the shortest dashed bars and white bars.

In this case, you can identify that the lowest price in September and November is:

And it corresponds to Warehouse.

Hence, the answer is: Option (2).

The form of the equation of the direct proportional is

k is the constant of variation

We can find it from the initial values of x and y

Since at x = -2 y = 10, then

Substitute x by -2 and y by 10 to find k

Divide both sides by -2 to find k

The value of k is -5

Then the equation is

The given expression is

To solve this, we just have to replace each value of the sum in the expression, then we sum. Let's do it

Now, we sum all these items

Using the law of sines:

Using the triangle sum theorem:

This problem is about a simple algebraic expression which we need to reduce in its simplest form. To do that, we need to reduce like terms, that is, terms that are similar, for example, terms 5x and 9x are similar because they have the same variable; also terms 12, 4, and 16 are also similar because they are single numbers.

Now, we reduce them using the algebraic sum properties, that is, numbers with the same sign will sum, and numbers with different signs will subtract:-

Then, we have

Check the picture below.

well, we know the triangle is an isosceles, so it has twin sides coming from the "vertex" down to the "base", running an angle bisector from the "vertex" will give us a perpendicular to the "base", let's find its height.

[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2 - a^2}=b \qquad \begin{cases} c=\stackrel{hypotenuse}{13}\\ a=\stackrel{adjacent}{5}\\ b=\stackrel{opposite}{h}\\ \end{cases} \\\\\\ \sqrt{13^2 - 5^2}=h\implies 12=h[/tex]

so we simply need to get the area of a triangle whose base is 10 and height is 12.

[tex]A=\cfrac{1}{2}(\underset{b}{10})(\underset{h}{12})\implies \boxed{A=60}[/tex]

2387.25 is the amount of tax

Take the original price and multiply by x to get the tax added

26525 * x = 2387.25

Divide each side by 26525

x = 2387.25/26525

x =.09

Change this to a percent form

.09 * 100%

x = 9 %

The sales tax percent 9 %

From the question, we have two events that do not affect each other. They seem independent events. The probability of occurring the two events at the same time is given by the formula:

Then, since we have that P(A) = 0.70 and P(B) = 0.67, then, we have:

Then, P(AB) = 0.469.