Answer:
The correct answer is A
Step-by-step explanation:
When you simplify it it's A
Suppose that at some future time every telephone in the
world is assigned a number that contains a country code
1 to 3 digits long, that is, of the form X, XX, or XXX,
followed by a 10-digit telephone number of the form
NXX-NXX-XXXX (as described in Example 8). How
many different telephone numbers would be available
worldwide under this numbering plan?
Using the Fundamental Counting Theorem, it is found that [tex]1.11 \times 10^{13}[/tex] different telephone numbers would be avaiable worldwide.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem:
For the code, considering that for each digit there are 10 possible outcomes, the number of options is [tex]n_1 = 10 + 10^2 + 10^3 = 1110 = 1.11 \times 10^3[/tex].For the number, there are 10 digits, each with 10 options, hence the number of options is [tex]n_2 = 10^{10}[/tex].Hence, the number of different telephone numbers that would be avaiable is given by:
[tex]N = n_1n_2 = 1.11 \times 10^3 \times 10^{10} = 1.11 \times 10^{13}[/tex]
[tex]1.11 \times 10^{13}[/tex] different telephone numbers would be avaiable worldwide.
More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/24314866
What is the slope of a line parallel to the line with equation 5x−2y=11?
−112
−52
−25
52
Answer: 52
Step-by-step explanation: Using the slope-intercept form, the slope is 52 . All lines that are parallel to y=5x2−112 y = 5 x 2 - 11 2 have the same slope of 52 .
solve for x !
[tex]x {}^{2} - 36 = 0[/tex]
thankyou ~
Answer:
X = 6. Give brainliest
Step-by-step explanation:
Solution:
x² - 36 = 0
or x² = 36
or x² = 6²
Therefore, the value of x is 6.
Answer:
x^2-36=0
x^2-36+36=0+36
x^2=36
x=√(36),x=-√(36)
√(36) → 6
-√(36) → -6
x=6,x=-6
Find the area of the parallelogram. of 6 m 10 m
Answer:
60m
Step-by-step explanation:
The formula for the area of a parallelogram is base x height.
b x h
6m x 10m = 60m
In an experiment, the probability that event A occurs is 7/8, the probability that event B occurs is 7/9, and the probability that events A and B both occur is ¾ . What is the probability that A occurs given that B occurs?
Question 5 options:
0.829
0.125
0.762
0.964
Answer:
Here is answer
Step-by-step explanation:
sorry if it is wrong
I think 0.762 in the answer
Which expression is equivalent to (x – 4)(2x2 – 3x + 7)?
A. -4x(2x2 – 3x + 7)
B. x(2x2 – 3x + 7) - 4
C. x(2x2 – 3x + 7) + 4(2x2 – 3x + 7)
D. x(2x2 – 3x + 7) - 4(2x2 – 3x + 7)
Answer:
A:
-4x(2x2 – 3x + 7)
Step-by-step explanation:
how do i solve this?
Answer:
33
Step-by-step explanation:
to solve for each triangle remember its 1/2 base times height you have four of those so add those four sides to the area of the square.
key concept: 1/2(Base*Height)
A quadratic equation is shown below. x^2 – 16x + 50 = 0 Which of the following is an equivalent form of the above equation? (x - 1612 114 (x - 5)2 = 14 (x - 82 = 114 o O (r = 16)2 = 14
Answer:
Step-by-step explanation:
( a ± b )² = a² ± 2ab + b²
~~~~~~~~~
x² - 16x + 50 = 0
( x² - 2(x)(8) + 64 ) - 64 + 50 = 0
( x - 8 )² - 14 = 0
( x - 8 )² = 14
Answer:
(x-8)^2=14
:)
Step-by-step explanation:
If F(x) and f-1(x) are inverse functions of each other and f(x) = 2x+5, what is f-1( 8) ?
O -1
O 3/2
O 41/8
O23
Answer:
the answer is 3/2........
Use the distributive property to write an expression that is equivalent to the expression below. 5(2x+7)
[tex]10x+35[/tex]
Solution:Use the distributive property to simplify.The distributive property states the following:x(y+z)=xy+xz (x times y plus x times z)Now, simplify:[tex]5(2x+7)[/tex][tex]10x+35[/tex]I multiplied 5 times 2x and 5 times 35.Is [tex]10x+35[/tex] the final answer? Yes, we cannot simplify it anymore, because 10x and 35 are not like terms.Hope it helps.
Do comment if you have any query.
The difference between two positive integers is2. If the smaller is added to the square of the larger the sum is 40. Find the integers
Answer:
4 and 6
Step-by-step explanation:
first you must write your let statements
let x = smaller integer
let y = bigger integer
y - x = 2
x + y^2 = 40
then you use substition to find your anaswer
x = y - 2
y - 2 + y^2 = 40
y^2 + y - 42 = 0
then find the numbers that add up to 1 and multiply to -42
-6 and 7
y^2 + 7y - 6y - 42
y(y + 7) - 6(y + 7)
(y - 6)(y + 7)
set both sides equal to 0
y = 6, -7
y must be positive so it is 6
then plug y into one of the equations to get your answer
6 - x = 2
x = 4
your answer is 4 and 6
Hello I need a little here with this
A recipe called for using 5 1/8 cups of flour before baking and another 8 7/9 cups after baking. What is the total amount of flour needed in the recipe?
Answer: 13 [tex]\frac{65}{72}[/tex]
Step-by-step explanation:
This question is asking us to find the total flour used, so we will add the two amounts together.
5 1/8 + 8 7/9
-
5 + 8 = 13
1/8 + 7/9 = 9/72 + 56/72 = 65/72
-
13 + 65/72 = 13 [tex]\frac{65}{72}[/tex]
The recipe calls for 13 [tex]\frac{65}{72}[/tex] cups of flour.
d. Henrietta Hardworker normally earns $8.50 per hour in a given 40-hour work-
week. If she works overtime, she earns time and a half pay per hour. During the
month of October, she worked 40 hours, 50 hours, 45 hours, and 42 hours for the
four weeks. How much did she earn fotal for October?
Answer:
1432.25
Step-by-step explanation:
8.50 x 40 = 340
340 x 4 = 1360
half of 8.50 is 4.25
4.25 x 10 = 42.5
4.25 x 5 = 21.25
4.25 x 2 = 8.5
add
1360 + 42.5 + 21.25 + 8.5 = 1432.25
i hope i did my math right, good luck mate
For some particular website, the password must start
with the letter X. Then there must be 4 more charters, and each of those characters may be a
numeric digit or a letter of the alphabet. How many different passwords are possible?
Answer:
Step-by-step explanation:
I take it you are not allowed to mix cases. There are 26 lower case letters (a b c d e f...) to the alphabet and 0 to 9 (which is 1 of 10 choices). The total number of starting choices is
x 36 * 35*34 * 33 = 1413720 possible passwords.
Find the slope of the line passing through the points (7, -3) and (3, -7)
Answer
The slope is (2,4) and (1,2)
Step-by-step explanation:
Write an equation in standard form of the hyperbola described.
Vertex (10, 0); focus (-26, 0); center (0,0)
Check the picture below, so the hyperbola looks more or less like the one below, let's find the conjugate axis or namely the "b" component.
[tex]\textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\begin{cases} h=0\\ k=0\\ a=10\\ c=26 \end{cases}\implies \cfrac{(x-0)^2}{10^2}-\cfrac{(y-0)^2}{b^2} \\\\\\ c^2=a^2+b^2\implies 26^2=10^2+b^2\implies 676=100+b^2\implies \underline{576=b^2} \\\\\\ \cfrac{(x-0)^2}{10^2}-\cfrac{(y-0)^2}{576}\implies \boxed{\cfrac{x^2}{100}-\cfrac{y^2}{576}}[/tex]
Help picture below problem 16
Answer:
c²=a²+b². 13²=12²+b² 169=144+b². b² =√25=5
Step-by-step explanation:
13² = ?² + 12²
169 - 144 = ?²
√25 = ?
5 yards = ?
How many ounces are in 4 pounds?
4 ounces
56 ounces
64 ounces
72 ounces
Answer:
64
Step-by-step explanation:
16 ounces per pound
16 x 4
what is difntion of tautology?
If the discriminant of a quadratic equation is equal to Negative 8, which statement describes the roots?
Answer:
There are two complex roots
Step-by-step explanation:
Answer:
A. There are two complex roots
Step-by-step explanation:
got it right on edg.2022 <3
An amusement park charges an admission fee of 30 dollars for each person. Let c be the cost (in dollars) of admission for p people. Write an equation relating c to p. Then use this equation to find the cost of admission for 15 people.
c=30p
$450
Step-by-step explanation:Setting up an equation lets us solve this question quickly. It also lets us create a relationship that can be used to find the cost of admission for any number of people.
Writing the Equation
As stated in the question, c will represent the total cost and p will represent the number of people admitted. Additionally, 30 will be the coefficient because it represents the cost per person. The variable p will take on the coefficient because it is the independent variable. Remember that the independent variable is the one that you can control. On the other hand, c is the dependent variable because it depends on the p variable.
This creates the equation C=30pSolving the Equation
To solve the equation for 15 people, plug 15 in for p.
C=30(15)Then, multiply out to solve
C=$450What is 594 minus 236?
Answer:
358
Step-by-step explanation:
A battery for an underwater drone is in the shape of a square prism is designed to draw in
searates that is then used to produce energy. The base of the battery has soe lengths of 15 centimeters and the heght of the
bertery is 10 centimeters. Find the volume of the battery.
Answer:
2250 cm^3
Step-by-step explanation:
Volume of sq prism - Base x Base x Height
15 x 15 x 10 = 2250
MAX POINTS help me
The amplitude of this graph is 3 the maximum is 4 the minimum is -2 the period is 4 and the midline is 1 how would the function be written?
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
The required equation is :
[tex]\qquad \sf \dashrightarrow \:a \sin(bx) + c[/tex]
Now, let's find the required values :
period (p) = 4
[distance between any successive Crest or trough]
a = - 3 (flipped)
b = 2π/p = 2π/4 = π/2
k = 1
Distance of starting position from origin = k
Now, plug in the values ~
[tex]\qquad \sf \dashrightarrow \: - 3 \sin( \frac{ \pi}{2}x ) + 1[/tex]
General equation:-
Asin(bx)+cSo
Amplitude=A=-3Min=-2 ,max=4
Hence
b=|(mn)|π/mxb=|-2|π/4b=2π/4b=π/2midline =c=1
So plugin the values
y=-3sin(π/2x)+1In the scale drawing below
Answer:
47.5m
Step-by-step explanation:
convert cm to metres 1.9cm×5=9.5m
Then times the side lengths with the amount of sides 9.5m×5=47.5m
The amplitude of this graph is 3 the maximum is 4 the minimum is -2 the period is 4 and the midline is 1 how would the function be written is all I haven’t figured out
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
The required equation is :
[tex] \qquad \sf \dashrightarrow \:y = a \sin(bx) + k[/tex]
Now, let's find the required values :
period (p) = 4
[distance between any successive Crest or trough]
a = - 3 (flipped)
b = 2π/p = 2π/4 = π/2
k = 1
Distance of starting position from origin = k
Now, plug in the values ~
[tex]\qquad \sf \dashrightarrow \: - 3 \sin( \frac{ \pi}{2}x ) + 1[/tex]
julia help the teacher clean the tables in the classroom she notices that 1/4 of the tables are blue and 3/4 of the table are red. there are 8 tables in all how many are red?
The fraction illustrates that there are 6 red tables.
How to calculate the fraction?Fron the information, Julia helps the teacher clean the tables in the classroom she notices that 1/4 of the tables are blue and 3/4 of the table are red.
Therefore, the numbers that are red will be:
= Fraction of red × Total number
= 3/4 × 8
= 6
Therefore there are 6 red tables.
Learn more about fractions on:
brainly.com/question/17220365
#SPJ1
A store pays 6% commission on the first $500 in sales and 8% on sales over $500 find the commission on an $800 sale
Answer:
Step-by-step explanation:
Multiplying the sales amount of 500$ and the commision rate of 6% results to
500(0.06)
=30.
The diagnoal of a tv is 26 inches long . assuming that this diagonal forms a pair of 30 -60 - 90 right triangles , what are the exact length and width of the tv?