The number of different 8 digit phone numbers we can have that do not contain the digit 2 is 43046721 numbers
Since there are 10 digits in our number system from 0 to 9, and we are looking for the number of different 8-digit phone numbers that do not contain the digit 2, we would be one digit short. So, for each digit position, we would have 10 - 1 digits = 9 digits.
Since we have 8 places for each digits, for the first place, we have 9 digits. For the second place, we have another 9 digits and so on till we get to the 8 th digit place.
So, for all 8 digit places, we have 9 × 9 × 9 × 9 × 9 × 9 × 9 × 9 × 9 = 9⁸.
So, the number of different 8 digit phone numbers we can have that do not contain the digit 2 is 9⁸ numbers = 43046721 numbers.
Thus, the number of different 8 digit phone numbers we can have that do not contain the digit 2 is 43046721 numbers.
Learn more about multiplication principle of counting here:
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A ∆ has Č = 90°, Â = 26° and = 30, Find the Angle BC, Side AB and BC.
Answer:
B = 64°
AB = 33.378
BC = 14.632
Step-by-step explanation:
Given the right angled triangle ;
Angle B = 180 - (90 + 26) (sum of angles in a triangle)
Angle B = 180 - 116
Angle B = 64°
Side AB = c
Using trigonometry :
Sin B = opposite / hypotenus
Sin 64 = 30/AB
AB = 30 / Sin64
AB = 33.378
Side BC ;
Sin A = BC / AB
Sin 26 = BC / 33.378
BC = 33.378 * Sin 26
BC = 14.632
Warren is on vacation and needs to arrange transportation. A rental car costs 40 dollars per day plus a one-time cost of 14 dollars for insurance. Construct a function C(x) that gives the total cost of renting a car for x days. C(x)=________.
If Warren has budgeted 254 dollars for the rental, how many days can he afford?
Answer:
C(x)=40x+14, 6 days
Step-by-step explanation:
C(x)= payment per day*x + initial payment. the payment per day is $40 while the initial payment is $14. so C(x)=40x+14.
C(x)=254=40x+14, 40x=240, x=6
[tex]\sqrt\\x^{2} - 3\\[/tex]
I need help with this one pls!
Hi there!
[tex]\large\boxed{b = \frac{a}{ac - 1}}[/tex]
We can begin by making each fraction have a common denominator:
If we make each have a common denominator of ab, we get:
[tex]\frac{b}{ab} + \frac{a}{ab} = c[/tex]
Simplify:
[tex]\frac{a + b}{ab} = c[/tex]
Multiply both sides by ab:
[tex]a + b = cab[/tex]
Move b to the opposite side:
[tex]a = cab - b[/tex]
Factor out b:
[tex]a = b(ac - 1)[/tex]
Divide by (ac - 1):
[tex]\frac{a}{ac - 1} = b[/tex]
Sitting on a park bench, you see a swing that is 100 feet away and a slide that
is 60 feet away. The angle between them is 30°.
distance between the swing and the slide?
What is the approximate
Answer:
50
Step-by-step explanation:
Answer:
The approximate between the swing and slide is 56.21 feet.
Step-by-step explanation:
i don’t know what it is can someone help
Answer:
b
Step-by-step explanation:
If f(x) = x3 – 1, what is the ordered pair for x = -2.?
Answer:
(-2, -9)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)
Functions
Function NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = x³ - 1
x = -2
Step 2: Evaluate
Substitute in x [Function f(x)]: f(-2) = (-2)³ - 1Exponents: f(-2) = -8 - 1Subtract: f(-2) = -9Rewrite: (-2, -9)What is the constant term of -3x(4)-7x+2 ?
Answer:
trinomials term .........................
Answer:
2
Step-by-step explanation:
Which of the following is true about the quotient -2/0?
A.
The quotient is equal to -2.
B.
The quotient is undefined because the denominator is zero.
C.
The quotient is undefined because the numerator is negative.
D.
The quotient is equal to 0.
Answer:
B.The quotient is undefined because the denominator is zero.
Step-by-step explanation:
You cannot divide by zero. Take a piece of paper and divide into zero pieces. It cannot be done as we know it. That is undefined.
The quotient is undefined because the denominator is zero.
Option (B) is the correct answer.
Kristian spends 45% of his $ 75 on a game. What is the price of the game
Answer:
The price of the game is 33.75
Step-by-step explanation:
45% of 75
.45 * 75
33.75
The price of the game is 33.75
Write in factored form
m^2 - n^4
The answer is : [tex]\left(m+n^2\right)\left(m-n^2\right)[/tex]
Here are the steps below to help you! ^^
multiply
0.105 x 0.7=
Answer:
0.0735 got it right
Step-by-step explanation:
got it right
ABCD is a rectangle. AB = 3x+5, AC = 7x-9, BC = 2y+5, BD = 2x+62. Solve for x. (Round your answer to one decimal place, if necessary.)
Answer:
x=14.2
Step-by-step explanation:
AC = BD
The diagonals of a rectangle are equal
7x-9 = 2x+62
Subtract 2x from each side
7x-9-2x = 2x+62-2x
5x-9 = 62
Add 9 to each side
5x-9+9 = 62+9
5x= 71
Divide by 5
5x/5 = 71/5
x=14.2
Choose the congruence theorem that you would use to prove the triangles congruent
Answer:
It would be the HL theorum.
Step-by-step explanation:
The answer would be the HL theorum by just considering the name. "HL" stands for Hypotenuse-leg. The problem tells you that both triangles share the same length of their hypotenuse (The Hypotenuse is the line with one dash in it, or the one opposite of the 90 degree angle) and one of the legs (The legs are the lines that connect to make the 90 degree angle). This makes the triangle congruent because if 2 sides of a triangle are the same it means that the third one is congruent as well.
The Ramirez family and the Stewart family each used their sprinklers last summer. The water output rate for the Ramirez family's sprinkler was 40 L per hour.
The water output rate for the Stewart family's sprinkler was 15 L per hour. The families used their sprinklers for a combined total of 55 hours, resulting in a total
water output of 1575 L. How long was each sprinkler used?
Answer:
15.5
Step-by-step explanation:
Yes
What is the nineteenth term of an arithmetic sequence with first term 9 and common difference 5?
Answer:
a₁₉ = 99
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 9 and d = 5 , then
a₁₉ = 9 + (18 × 5) = 9 + 90 = 99
The nineteenth term of arithmetic c sequence with first term 9 and common difference 5 is 99.
What is Arithmetic progression?The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).
The arithmetic progression has wider use in mathematics for example sum of natural numbers.
Natural number = 1,2,3,4,5,6,7,8...
Now it has the same difference between any two consecutive terms d =2-1 = 3-2
Given an AP series
First term(a) = 9
Common difference (d) = 5
The nth term is given by
⇒ a + (n - 1)d
So,
19th term = 9 + (19-1)5
⇒ 99
Hence "The nineteenth term of arithmetic c sequence with first term 9 and common difference 5 is 99".
For more about Arithmetic progression
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One year ago, the ratio of Honey and Piyush ages was 2:3 respectively. After five years from now, this ratio becomes 4:5. How old is Piyush now?
Answer:
eşnatto eşmatoroorlfld
Answer:
Now , Piyush age =3+Honey age
Step-by-step explanation:
Honey age=x
Piyush age=y
1 year ago,Honey age=x-1
Piyush age=y-1
the ratio of Honey and Piyush age=2:3
x-1:y-1=2:3
x-1/y-1=2/3
3(x-1)=2(y-1)
3x-3=2y-2
3x-2y= -2+3
3x-2y=1 eq _1
after 5 years from now,
Honey age=x+5
Piyush age=y+5
the ratio of them=4:5
x+5/y+5=4/5
5(x+5) =4(y+5)
5x+25=4y+20
5x-4y=20-25
5x-4y=-5 _eq2
eq1and 2_
5x-4y= -5
3x-2y= 1
-
2x-2y=-6
x-y =-3
-y=-3-x
y=3+x
What is the additive identity of -17?
Answer:
The additive identity is 0. The sum of any number with the additive identity is the number itself.
I HOPE ITS RIGHT IF NOT THEN SORRYHAVE A GREAT DAY :)
ITS TIMED HELP!!!
Assuming x and y are two odd numbers and x/y is an integer. Which of the following statements are true?
1: x + y is odd.
2: xy is odd.
3: x/y is odd.
4: x-y is odd.
A: 1 and 2 only.
B: 1 and 3 only.
C: 2 and 3 only.
D: 2, 3, and 4 only.
E: 2 and 4 only.
Answer:
C
Step-by-step explanation:
1: x + y is even. Try it. 3 + 5 = 8. 2x + 1 + 2y + 1 = 2x +2x + 2. That's even no matter what 2 odd numbers you use.
2: xy is again try it 3 * 5 = 15 which is odd. (2x + 1)(2y + 1) = 4xy + 2x + 2y + 1. The first 3 terms are even. The last one is odd. So xy is odd.
3. 9/3 = 3. Three should be true. The numerator is greater than the denominator. And x/y is given as an integer. So the statement should be true.
4. x - y is This can't be right. 2x + 1 - 2y - 1 = 2x + 2y. The result is even.
2 and 3 only
If 150° and 3a are supplementary angles, find the value of a.
Answer:
a = 10
Step-by-step explanation:
Supplementary angles sum to 180° , so
150 + 3a = 180 ( subtract 150 from both sides )
3a = 30 ( divide both sides by 3 )
a = 10
what is this please tell answer
Answer:
x=6, y=4, z=8
(c) 6I hope this is helpful!
Solve the equation | 7x + 5| = |3x - 13|
I 7X + 5 I = I 3X- 13I
7×+5 = 3x +13
7X-3x = 13-5
4x = 8
X= 8/4
X=2
I'm under the water on this problem, please help me:
question: f(x)=10x−3
answer choices:
A. f(−5)
B. f(0)
C. f(7)
D. f(t^2+2)
E. f(12−x)
F. f(x+h)
Answer:
See below
Step-by-step explanation:
Okay so...I might be interpreting the question wrong-if I am please comment! I'll fix it to the best of my ability.
A) Plug in -5 to all x values
f(-5)=10(-5)-3
==50-3
f(-5)= -53
B) f(0)=10(0)-3
f(0)= -3
C) f(7)=10(7)-3
=70-3
f(7)=67
D) f(t^2+2)=10(t^2+2)-3
=10t^2+20-3
f(t^2+2)=10t^2+17
E) f(12-x)=10(12-x)-3
=120-10x-3
f(12-x)=117-10x
F) f(x+h)=10(x+h)-3
=10x+10h-3
I need help, please come answer this
Answer:
[tex]8 \times \frac{15}{5} - (5 + 9) \\8 \times 3 - (14) \\ 24 - 14 \\ = 10[/tex]
I hope I helped you^_^
The conjecture "if n is a whole number then 3n+1 is a prime number" is disapproved by which statement
Answer:
D
Step-by-step explanation:
Simply because 25 is divisible by 5.
Which lists all of the shapes that are in a two-dimensional net of a square pyramid? 6 squares 4 triangles 1 square and 3 triangles 1 square and 4 triangles
Answer:
4 triangles and 1 square
Step-by-step explanation:
Required
The shapes in two-dimensional net of a square pyramid
To do this, I will attach an attachment of a 2D net of a square pyramid (see attachment)
From the attachment, we can see that:
The 2d shape of the pyramid is made of 4 triangles and 1 square
Answer:
D
Step-by-step explanation:
!!! i only need part c !!! There are 30 homes in Neighborhood A. Each year, the number of homes increases by 20%. Just down the road, Neighborhood B has 45 homes. Each year, 3 new homes are built in Neighborhood B.
Part A: Write functions to represent the number of homes in Neighborhood A and Neighborhood B throughout the years. (4 points)
Part B: How many homes does Neighborhood A have after 5 years? How many does Neighborhood B have after the same number of years? (2 points)
Part C: After approximately how many years is the number of homes in Neighborhood A and Neighborhood B the same? Justify your answer mathematically. (4 points)
(10 points)
Find −4^3(5^2). Express using exponents.
Answer:
-1600
Step-by-step explanation:
−4^3(5^2)
5 × 5 = 25
-4 × -4 × -4
-16 × -4
-64
64 × 25 = -1600
The answer is -1600
Hope this helped.
Find the median of data set. Round it to the nearest tenth.
Answer:
The median of the data set that you've provided, is 13,350.
Explanation:
13350 is the middle number from the set after writing the set in ascending order. you have 5 numbers on the left of 13350 and 5 on the right, 13350 is the middle one thus it's the median.
After Arranging it in Ascending order
The total number of items is 11
The middle one is 13,350
Therefore the range is 13,350
Must click thanks and mark brainliest
Need answers now. Not good with geometry or Algebra.
Answer:
x = 4.98
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 50 = x/6.5
6.5 sin 50 =x
x=4.97928
x = 4.98
