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.
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On a coordinate plane, a curved line with minimum values of (negative 0.8, negative 2.8) and (3, 0), and a maximum value of (1.55, 10.8), crosses the x-axis at (negative 2.5, 0), (0, 0), and (3, 0), and crosses the y-axis at (0, 0). Which interval for the graphed function contains the local maximum? [–3, –2] [–2, 0] [0, 2] [2, 4]
Answer:
(0,2)
Step-by-step explanation:
So C
The correct option is option C: [0,2] contains the local maximum.
What is the local maximum?Local maximum is the relative maximum point where it is maximum within the neighborhood of that point.
From the graph shown in the picture, it is clear that,
the curved line touches the x axis at the point R(-2.5, 0), O(0, 0), and Q(3, 0).
similarly, the curved line touches the y-axis at O(0,0).
the graph has local minima at P(-0.8,-2.8) and Q(3, 0).
So the graph is below the x-axis between the point (-2.5, 0), (0, 0).
the graph has local maxima at S(1.55,10.8).
So the graph is above the x-axis between the point (0, 0), and (3, 0).
so the local maximum occurs at S(1.55,10.8).
From the option, it is clear that the point (1.55,10.8) lies in the interval [0,2].
Therefore [0,2] contains the local maximum.
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What is the real part of 4 - 5i
Answer:
5i is an imaginary number
In these questions it contains two parts
real and imaginary parts . thus answer to these questions is 5i
Explanation
Complex Number is the number which contains both real and imaginary numbers i is the specified elements. 5i is an imaginary parts number and 4 is real part number.
Thus we conclude that above statement for the question is correct.
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A jar contains 30 red, 40 blue, and 50 white buttons. You pick one button at random , find the probability that it is blue.
Answer:
33.33%
Step-by-step explanation:
Probability is a percentage. To determine probability you would add all of the buttons together to equal 120 buttons. Then you would divide the number of blue buttons by that total or 40/120 which equals 0.333333; this number in a percentage is 33.3333% (or roughly 1/3).
Answer:
33.33%Step-by-step explanation:
To find the probability of blue buttons, divide the amount of blue buttons with the total buttons.
Blue Buttons/Total Buttons=> 40/30 + 40 + 50=> 40/120=> 1/3 = 33.33%Hence, the probability of the button chosen is blue is 33.33%.
what is -7(w+6)^2+21=0.
find the slope between (0, 6) and (-3,9)
Answer:
-1
Step-by-step explanation:
The formula for finding a slope is: m = (change in y)/(change in x)
Find the change in each value
Y: 9 - 6 = 3
X: -3 - 0 = -3
Input the values
m = 3/-3
m = -1
I would start this problem by setting up a table.
In the left column, we will have our x values
and in the right column, we have our y values.
Put our first ordered pair on the top and second on bottom.
We can see the y values go from 6 to 9 so change in y is 3.
The x values go from 0 to -3 so change in x is -3.
The slope is equal to the rate of change or change in y / change in x.
So our slope is 3/-3 of -1.
-15 = 5a +12- 2a + 6 -11 -3 10 7
Answer:
A
Step-by-step explanation:
So we have the equation:
[tex]-15=5a+12-2a+6[/tex]
On the right combine like terms:
[tex]-15=5a-2a+12+6\\-15=3a+18[/tex]
Subtract 18 from both sides. The right cancels:
[tex](-15)-18=(3a+18)-18\\-33=3a[/tex]
Divide both sides by 3:
[tex](-33)/3=(3a)/3\\a=-11[/tex]
The answer is A, -11.
Answer:
a = -11
Step-by-step explanation:
-15 = 5a +12- 2a + 6
Combine like terms
-15 = 3a +18
Subtract 18 from each side
-15-18 = 3a+18-18
-33 = 3a
Divide each side by 3
-33/3 = 3a/3
-11 =a
Durning Saturday’s thunderstorms a total of 500 mm of rain fell in fell in 20 minutes.How many mm fell per minute
Answer
25mm of rain fell each second
Step-by-step explanation:
we know that 500 mm fell in 20 minutes
so, we have to divide 500 by 20 giving us the amount of rain that fell each minute:
500/20 = 25
therefore, 25mm of rain fell each minute
hope this helped:)
Answer:
25 mm per minute
Step-by-step explanation:
Take the amount of rain and divide by the number of minutes
500/20
25 mm per minute
PLEASE HELP !! what is the domain of f(x)=1/3x ?
Answer:
all real numbers
Step-by-step explanation:
f(x)=(1/3)^x
The domain is the values that x can take
X can take any value
Answer:
all real numbers
Step-by-step explanation:
HELP ASAP WILL MARK BRAINLIEST FOR THE FIRST CORRECT ANSWER
Two distinct lines, l and m, are each perpendicular to the same line n.
a. What is the measure of the angle where line l meets line n?
b. What is the measure of the angle where line m meets line n?
Answer:
90 and 90
Step-by-step explanation:
If they are perpendicular it means they cross at a 90 degree angle so since both L and M are perpendicular to N both the answers would be 90
Hope This Helps :)
Answer:
I would say 90 degrees for both, simply because it's not perpendicular if the angle isn't 90 degrees.
Step-by-step explanation:
PLease don't forget to give brainliest!
what is this equation in simplest form? 9x + 26 + 7x - 17 = 2x + (-3x) + 5x
Answer:
4x+3=0 or x=-3/4
Step-by-step explanation:
9x+26+7x-17=2x-3x+5x
arrange all numbers with coefficient x at one side let's say the left hand side and constant or real numbers at the right hand side in doing that we get
9x+7x-2x+3x-5x=17-26
12x=-9
(12x)/3=-9/3
4x=-3
x=-3/4
El siguiente diagrama A, B, C, D, E, F denotan islas, y las líneas de unión son puentes. El hombre empieza en A y camina de isla en isla. El hombre no puede cruzar el mismo puente dos veces. Hallar el número de maneras que puede hacer su recorrido antes de almorzar.
A-B-C-D
E-F
A esta conectado a B, B a C y C a D. B está conectado a E, C esta conectado a F y hay una linea que conecta E y C
Answer:
hey good
Step-by-step explanation:
what is the diameter of a circle with 28.26 as the area
Answer:
6
Step-by-step explanation:
are=A=πr2
28.26/3.14=9
√9=3
3•2=6
Answer:
6
Step-by-step explanation:
Area = πr^2
r = √(area/π)
r = √(28.26/3.14)
r = 3
and we know that,
d = 2r,
d = 2 x 3 = 6
Two observers are 300 ft apart on opposite sides of a flagpole. The angles of
elevation from the observers to the top of the pole are 20°
and 15°. Find the
height of the flagpole.
Multiply the input by 2. Then add 4 to the result to get the output.
Answer:
2x +4
Step-by-step explanation:
The Expression for "Multiply the input by 2 and then add 4 to the result to get the output" is 2x+ 4.
What is expression?A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:
An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.Given:
Multiply the input by 2.
let the input be x.
So, 2x
Now, add the result to 4
Then, 2x+ 4
Hence, the expression is 2x+ 4.
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A
2
The distance AB
rounded to the
nearest tenth = [?]
- 2
-1
0
B
-2
-3
Hint: Use the distance formula:
d= (x2 - 1)2 + (y2 - y.)2
Answer:
slope = - 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = A (- 1, 2) and (x₂, y₂ ) = B (1, - 2)
m = [tex]\frac{-2-2}{1-(-1)}[/tex] = [tex]\frac{-4}{1+1}[/tex] = [tex]\frac{-4}{2}[/tex] = - 2
Answer:
AB = 4.5
Brainliest, please!
Step-by-step explanation:
A (-1, 2) B (1, -2)
y = +4
x = +2
a^2 + b^2 = c^2
2^2 + 4^2 = c^2
4 + 16 = c^2
20 = c^2
c = 4.5 (rounded)
Type the correct answer in each box. Use numerals instead of words.
Consider the quadratic equation -x^2 - 6x + 6 = 0
Completing the square leads to the equivalent equation
-(x + ___ )^2 = ___
Answer:
-(x + 3)^2 = -15
Step-by-step explanation:
:) got it right
Factor 4 out of 4x + 12.
Answer:
4(x + 3)
Step-by-step explanation:
So, to solve these questions is pretty simple.
4 times what equals 4x, and 4 times what equals 12?
Well,
4 times x = 4x, and 4 times 3 = 12.
soo.
4(x + 3)
Answer:
4x+12 factor 4 out of the equation
4(x+3)19) : -7x=5.6⇒ x=-5.6/-7
x=5.6/7=0.8x/8- 5/2=5/2 common factor
(x-20)/8 =5/2
2(x-20)=40
2x-40=40
2x=80
x=80/2=40A baby can crawl ¾ foot in ¼ minute. How far does the baby get per minute?
Answer:
3 feet per minute
Step-by-step explanation:
Find how far the baby gets per minute by multiplying 3/4 by 4:
3/4(4)
= 3
So, the baby crawls 3 feet per minute
decide if the first number is a factor or the second number with a yes or no.
a. 9; 74,520
b, 3; 876
Rearrange the equation so x is the independent variable. y+6=5(x-4)
Answer:
x = (y + 26)/5
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out equation
y + 6 = 5(x - 4)
Step 2: Distribute
y + 6 = 5x - 20
Step 3: Isolate x
y + 26 = 5x
Step 4: Isolate variable x
(y + 26)/5 = x
Step 5: Rewrite
x = (y + 26)/5
Answer:
y = 5x - 26
Step-by-step explanation:
Since x is the independent variable, you have to solve for y.
y + 6 = 5(x-4)
Now distribute:
y + 6 = 5x - 20
subtract the 6 from both sides
y + 6 - 6 = 5x - 20 - 6
y = 5x - 26
what number times itself 3 times go into 343
Answer:
According to an expert your answer is 7.
Step-by-step explanation:
since the unkown number is multiplied by itself what we need to do to get out answer is to work backwards. Thats where we cube root 343 to get 7
HOPE IT HELP!!!!!!!!!!!!IF IT REALLY HELPS SO PLZ MARK ME AS BRAINIESTIf Ab = 54, find MC.
Answer:
MC = 45
Step-by-step explanation:
Δ ABH and Δ MCH are similar and the ratios of corresponding sides are equal, that is
[tex]\frac{AB}{MC}[/tex] = [tex]\frac{AH}{MH}[/tex] , substitute values
[tex]\frac{54}{MC}[/tex] = [tex]\frac{6}{5}[/tex] ( cross- multiply )
6MC = 270 ( divide both sides by 6 )
MC = 45
f(x) = x2. What is g(x)?
pls help it’s due soon!!
Answer:
A. g(x) = (2x)²
Step-by-step explanation:
From the diagram of the two functions graph f(x) is the parent function and g(x) is the transformed function. you can see that the graph of g(x) is stretched vertically compared to the graph of g(x). The Parent function has y =1 corresponding to x =1 while for the transformed function when x = 1, y = 4 the graph is vertically stretched by a factor of 4, and horizontally The Parent function has y =1 corresponding to x =1. while for the transformed function when x = 0.5, y = 1, it is stretched horizontally by 2 (√4), i.e
This means that g(x) = 4x² = (2x)²
Hello, who can help me solve this problem?Please see the picture below and take a look
9514 1404 393
Answer:
C
Step-by-step explanation:
It's about making up a rule that gets from one figure to the next. Here's the rule I used:
The bottom left segment is rotated 1/8 turn CW from one figure to the next.
The top middle segment is rotated 1/4 turn CW from one figure to the next.
After steps, the top middle segment will be back in the same place. The lower left segment will be in the opposite corner. This corresponds to figure C.
what is the key term for at most
Answer:
less than or equal to it hope this helps you!
It takes Matt 3 minutes to read one page in a book. If he continues to read at the same pace, he can read 15 similar pages in minutes. If the book has 300 pages, it will take him minutes to read it.
Answer:
a)45min
b)900min
Step-by-step explanation:
We were told that it takes Matt 3 minutes to read one page in a book.
It implies that 3minutes = 1page of the book
Then he continues to read at the same pace, he can read 15 similar pages in minutes.
a)Then, he can read 15 similar pages in
15x3 minutes.which is 45minutes.
b)Then if the book has 300 pages, it will take him. 300×3 minutes to read it.which is 900mins
Answer: has anyone seen my dad?
HELP PLZ I GIVE YOU BRAINLIEST IF YOU GET CORRECT PLZ I BEG YOU
in a 2-digit number, the tens digit is 5 less than the units digit. if you reverse the number, the result is 7 greater than the double the original number. find the original number
Answer:
Original number = 38
Step-by-step explanation:
10*x + y
x = y - 5
10y + x = 2 (10x + y) + 7
10y + y - 5 = 2(10(y - 5) + y) + 7
11y - 5 = 2(10y - 50 + y ) + 7
11y - 5 = 2(11y - 50) + 7
11y - 5 = 22y - 100 + 7
11y - 5 = 22y - 93
11y + 88 = 22y
88 = 11y
y = 8
x = y - 5
x = 8 - 5
x = 3
So the original number is 38. Does that work?
3 is 5 less than 8.
83 = 2*38 + 7
83 = 76 + 7
83 = 83. Yes it works.
Find the factors of 2×^2 +3×
Answer:
x(2x+3)
Step-by-step explanation:
rewrite in factored form
2x^2+3x
x(2x+3)
A rectangular prism has a height of 12 centimeters and a square base with sides measuring 5 centimeters. A pyramid with the same base and half the height of the prism is placed inside the prism, as shown in the figure
The answer is 200 cm³
The volume of the rectangular prism (V1) is:
V1 = l · w · h (l - length, w - width, h - height)
It is given:
h = 12 cm
w = l = 5 cm (since it has a square base which all sides are the same size).
Thus: V1 = 12 · 5 · 5 = 300 cm³
The volume of pyramid (V2) is:
V2 = 1/3 · l · w · h (l - length, w - width, h - height)
It is given:
h = 12 cm
w = l = 5 cm (since it has a square base which all sides are the same size).
V2 = 1/3 · 12 · 5 · 5 = 1/3 · 300 = 100 cm³
The volume of the space outside the pyramid but inside the prism (V) is a difference between the volume of the rectangular prism (V1) and the volume of the pyramid (V2):
V = V1 - V2 = 300 cm³ - 100 cm³ = 200 cm³
the ratio of thomson's age to racheal's age is 2:3.racheal is 24 years old. how old is thomson?
2:3
Given Racheal = 24 years
Thomson = 2/3×24
= 2×8
= 16 years
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