1st slot: 10 possibilities
2nd slot: 9 possibilities
3rd slot: 9 possibilities
4th slot: 9 possibilities
5th slot: 9 possibilities
10 * 9 * 9 * 9 * 9 = 65610 Possibilities
The total number of possible 5-digit codes for the garage door opener, where no two adjacent digits are the same, is 59,049.
Explanation:This is a combinatorics problem in mathematics. A simple way to solve this problem is to calculate the total number of 5-digit code combinations possible without any constraint, which is 10^5 = 100,000.
However, the condition given in the problem is that no two adjacent digits can be the same. The possible codes for the first digit are 10 (0-9). For the second digit, because it cannot be the same as the first, there are 9 possibilities, the third digit also has 9 possibilities because it cannot be the same as the second, and so on.
Therefore, the total number of possible codes is 10 * 9 * 9 * 9 * 9 = 59,049. Hence, the garage door opener can have 59,049 different codes.
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Hello!) can you help me please?) number 9 please)
Independent variable: The number of houses Harold sells
Dependent Variable: The amount of money Harold earns
Function: f(x)=250,000(x)
x represents how many houses Harold sells, and f represents how much money Harold earns.
Now, let's solve the problem.
f(x)=250,000(9)
f(x)=2,250,000
Harold earns $2,250,000
Angle 1 and 2 form a linear pair. M∠1 is 5x + 6 and m∠2 is 2x-1. Find m∠2.
its 54 bro trust me i know what im doing
An auto assembly plant produces 288 cars in 6 days. The constant of proportionality is cars per day.
24?
48?
56?
or 102?
For this case we have the following rule of three:
288 cars -------------------> 6days
x cars -------------------> 1dia
Resolving you have that the value of the variable x is given by:
[tex]x =\frac{(1)(288)}{6}\\\\x = 48\\[/tex]
Thus, the constant of proportion per day is 48 cars.
Answer:
Option B
these is the smallest integer -5 - 11 15 5
-11 is the smallest integer!
Why? Because it's a negative number. -5 is the closest to being a positive. 15 is the largest integer so the answer is -11
what is 0.6 equivalent to
Answer:
3/5 and 60%
Step-by-step explanation:
Construct a function whose reflection in the line of y=x is itself. State the symmetries of the function.
ANSWER TO PART A
The mapping for the reflection in the line [tex]y=x[/tex], is given by
[tex](x,y)\rightarrow (y,x)[/tex].
That is the coordinates swap position .
The only way we can construct a function [tex]f(x)[/tex], such that;
[tex](x, f(x))\rightarrow (f(x),x)[/tex] are equal is when
[tex]f(x)=x[/tex].
So that when [tex]x=a, f(a)=a[/tex] .
The mapping then becomes
[tex](a,a)\rightarrow (a,a)[/tex].
Therefore the function, [tex]f(x)=x[/tex] is the function whose reflection in the line
[tex]y=x[/tex] is itself.
ANSWER TO PART B
The function is symmetrical with respect to the origin. That is to say the function is an odd function.
A function is symmetric with respect to the origin, if it satisfies the condition,
[tex]f(-x)=-f(x)[/tex]
For instance,
[tex]f(a)=a[/tex]
[tex]f(-a)=-a[/tex]
Since
[tex]f(-a)=-a=-f(a)[/tex]
We say the function is symmetric with respect to the origin.
What is a slope perpendicular to the line with equation 6x-4y=30. Can u guys show me step by step. (I’m barely learning and I’m confused)
Look at the figure. What is another way of naming line m?
Another way of naming line m is AB
Last one is the answer
Answer: The fourth option. [tex]AB^{<-->}[/tex]
Step-by-step explanation:
BA stands for the segment between B and A, so this is not the correct option.
B (with a double arrow on top) refers to a line, but with only one point we could draw infinite lines, so this is not the correct option)
mB (with a double arrow on top) does not mean anything.
AB (with a double arrow on top) refers to a line that phases through the points A and B, so this is the other way of naming the line m.
9 (x-y)^2-9 (x+y)(x-y)
This answer is 18y • (y - 1)
ExplanationStep by step solution:
Equation at the end of step 1:
[tex]9 (x - y) ^2 - 9 (x^{2} - y^{2})[/tex]
Equation at the end of step 2:
[tex]9 (x^2 + y^2 - 2xy) - 9 (x^2 - y^2)[/tex]
Equation at the end of step 3:
[tex]9x^2 + 9y^2 - 18xy - 9x^2 + 9y^2[/tex]
Equation at the end of step 4:
After performing basic +, - operation we get:
[tex]18y^2 - 18xy[/tex]
Answer is: 18y. (y – x)
when simplified completely, the product of a monomial and a monomial is _____ a monomial
-sometimes
-always
-never
im gonna say always a monomial ...
Answer: Always
Step-by-step explanation:
Why does a balloon naturally form a sphere when it is blown up
because of the shape it is molded as, some balloons are made to be hearts so when they are blown up they are shaped like hearts
which table represents a proportional relationship between x and y
Remark
They all have (0,0) as a point on the proportional relationship, so the general equation for this is
y = kx
Now all we have to do is find k
Method
If any two points (besides (0,0) ) give the same k as an answer then that is the proportional relationship.
Solution
(1/4) ÷(1/3) Change to a decimal
0.25 ÷ 0.3333333 = 0.75
(4/4) ÷ (2/3) = 1 ÷ 0.666666 = 1.5 Rounded
A is not the answer
B
1 ÷ 2/7 = 1 ÷ 0.28571 = 3.5
2 ÷ 5/7 = 2÷ 7142857 = 2.8 Not the same
B is not the answer
C
(2/5) ÷ 3 = 0.4 ÷ 3 = 0.13333333
(1/5) ÷ (3/2) = 0.2 / (1.5) = 0.13333333
Answer C
Comment
The answer is C or y = 0.133333 x
Notice that whenever possible, change these into decimals. Decminals are easier to handle.
Which of the following best describes the relationship between (x-5) and the polynomial 2x^2-7x-15?
Answer:
Step-by-step explanation:
he or she is correct
PLEASE HELP! 30 POINTS!
Four is a zero of the equation x^3 + 3x^2 -18x - 40 = 0
Which factored form is equivalent to the equation?
The correct answer is C. (x+4)(x+2)(x+5)=0
To find the factored form of the equation, we can use synthetic division to divide the polynomial by (x - 4). The quotient will give us the factored form of the equation: (x - 4)(x^2 + 7x - 2).
Explanation:To find the factored form of the equation x^3 + 3x^2 -18x - 40 = 0 when four is a zero, we can use synthetic division. Synthetic division can be used to divide the polynomial by (x - 4). The quotient will give us the factored form of the equation.
Step 1:Set up the synthetic division:
4 | 1 3 -18 -40
Step 2:Perform the synthetic division:
• 4
------------------------------------
1 7 -2
Step 3:
Write the quotient as the factored form:
x^3 + 3x^2 -18x - 40 = (x - 4)(x^2 + 7x - 2)
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HELP ME PLEASE having trouble!!!!
find the midpoint of the segment with the given endpoints (4, -10) , (9, -2)
midpoint = ( [tex]\frac{13}{2}[/tex], - 6 )
using the midpoint formula
midpoint = [ [tex]\frac{1}{2}[/tex](4 + 9), [tex]\frac{1}{2}[/tex](- 10 - 2 )] = ( [tex]\frac{13}{2}[/tex], - 6)
Without using the calculator, determine between which two consecutive integers the square root lies.
The square root of a number can be estimated by locating which two perfect squares it falls between. This provides the two consecutive integers between which the square root lies. For example, the square root of 12 falls between the perfect squares of 9 (3^2) and 16 (4^2), thus it lies between the integers 3 and 4.
Explanation:To determine between which two integers a square root lies without using a calculator, you can use the method of perfect squares. Perfect squares are numbers that result from squaring integers. For instance, the perfect squares for the integers 1, 2, 3, 4, and 5 are 1, 4, 9, 16, and 25, respectively.
Let's say you wish to locate the square root of 12. You can list the perfect squares until you find two such that 12 falls between them. In this case, we can see that 12 is between the perfect squares 9 (3^2) and 16 (4^2). Therefore, the square root of 12 is between the integers 3 and 4.
This is a straightforward method for roughly determining the value of a square root without using a calculator. Exact values can unfortunately only be determined with the help of a calculator or mathematical tools beyond middle school level.
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The amount of snowfall in January was 2 and 3/5
feet. The amount of snowfall in February was 1 and 1/3
feet. How much more snowfall was there in January?
2 3/5 - 1 1/3 = 2 6/15 - 1 5/15 = 1 1/5
The amount of snowfall in January was 2 and 3/5 feet while in February it was 1 and 1/3 feet. Upon converting these mixed numbers to improper fractions and subtracting, we find that January had 1 and 7/15 feet more snowfall than February.
Explanation:The student needs to determine how much more snow fell in January compared to February. The amount of snowfall in January was 2 and 3/5 feet and the amount of snowfall in February was 1 and 1/3 feet.
To do that, first, we need to subtract the snowfall of February from that of January. Before doing so, we should convert the mixed numbers to improper fractions. 2 and 3/5 feet can be converted to 13/5 feet. 1 and 1/3 feet can be converted to 4/3 feet.
So, we subtract 4/3 feet from 13/5 feet: (13/5) - (4/3). For subtacting fractions, we need the denominators to match. Once we equalize the denominators and subtract, we get 1 and 7/15 feet. Therefore, January had 1 and 7/15 feet more snowfall than February.
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Order the following form least to greatest: 0.07, 0.71, 0.007, 0.071?
George ate 2/3 of container of chinese food. Silvia ate 1/5 of the same container of chonese foos. What fraction of the container of chinese food did they eat together?
To find the total fraction of food eaten by George and Silvia, convert each of their portions to have a common denominator and then add the fractions together, resulting in them eating 13/15 of the container.
The question asks us to find the total fraction of the container of Chinese food that George and Silvia ate together. George ate 2/3 of the container, while Silvia ate 1/5 of it. To find the total amount they ate, you need to add these two fractions together.
Calculating the sum of the fractions:
First, find a common denominator, which in this case is 15 (because 3 and 5 both divide evenly into 15).
Convert each fraction to an equivalent fraction with a denominator of 15:
George's portion becomes (2/3) x (5/5) = 10/15
Silvia's portion becomes (1/5) x (3/3) = 3/15
Add the two fractions: 10/15 + 3/15 = 13/15
Therefore, together, George and Silvia ate 13/15 of the container of Chinese food.
Find the value of x in the figure.
a woman is 6 years older than 3 times her daughters age. their ages total 46. what are their ages?
Final answer:
The daughter is 10 years old, and the mother is 36 years old. We solved two equations simultaneously to find their ages, based on the relationship between their ages and their combined total age.
Explanation:
To solve the problem, we need to set up two equations based on the information provided. Let's denote the daughter's age as d and the mother's age as m. We are given that the mother is 6 years older than 3 times her daughter's age. Formally, this can be expressed as:
m = 3d + 6
Next, we know that their combined ages total 46. This leads to a second equation:
m + d = 46
We can use these two equations to solve for d and m. Substituting the expression for m from the first equation into the second gives:
3d + 6 + d = 46
We simplify this to find d:
4d + 6 = 46
4d = 40
d = 10
Now we can use this to find m:
m = 3(10) + 6
m = 30 + 6
m = 36
So the daughter is 10 years old and the mother is 36 years old.
Which body of water do the Mississippi River and the Rio Grande flow into?
Lake Superior
Atlantic Ocean
Pacific Ocean
Gulf of Mexico
They both flow into the Gulf of Mexico
Gulf of Mexico is where they both flow into
If in a class of 40 students,45% are in band, how many students are in band
nis after your done can you mind helping me after.. its ok if not.
Answer:
18
Step-by-step explanation:
Make a proportion 45/100 and x/45 then do cross multiplication then solve
A plane seats 480. If 3/4 of the seats were full, how many people were on the plane? (Multiplying Rational Numbers)
Your equation is just to multiply 480 by 3/4.
Easy way to do these quick.
480 (3/4) is the same as (480 * 3) / 4
480 / 4 = 120
By simplifying, you are left with just 120 * 3 in the numerator
120 * 3 = 360
There are 360 people on the plane.
If you need to check your answer:
360 / 480
Take away the zeros at the end by dividing both by 10
36 / 48
Divide both by 6
6 / 8
Now divide by 2
3 / 4
which of the following statements is true?
a. a 30 year fixed mortgage will always result in the lowest payment
b. you must have atleast a 20% down payment to get a competitive interest rate
c. the lower your interest rate is, the lower your monthly payment is
d. the faster you pay off your mortgage, the lower your monthly payments are
c. The lower your interest rate is, the lower your monthly payments are.
on edge 2021 (:
write the equation of the line that is parallel to y=2x+9. and goes through the point (3,1)
First we find the slope of the given line as both the lines are parallel therefore their slopes are equal.
To find slope of given line we compare the equation with point slope form i.e.
[tex]y=mx+c[/tex]
On comparing [tex]y=2x+9[/tex]
We get [tex]m=9=slope [/tex]
As the required line is parallel to given line its slope is equal to given line
[tex]m=9[/tex]
Required line pass through[tex](3,1)[/tex]
Using point slope form
[tex]y-y_1=m(x-x_1)[/tex]
Here [tex]m=9, y_1=1, x_1=3[/tex]
Putting the values and solving
[tex]y-1=9(x-3)[/tex]
[tex]y-1=9x-27[/tex]
[tex]9x-y=26[/tex] is the required equation
Hope this will help
what is 9 to the power of 3
9 * 9 * 9 = 729. This is also an exponent 9^3.
When you determine the powers you need to multiply the number itself how many times the power says to multiply.
9 raised to the power of 3 is equal to 729.
Given that we need to find that what is 9 to the power of 3.
To calculate 9 to the power of 3, we need to multiply 9 by itself three times.
In mathematical notation, it is written as 9³.
First, we start with 9 and multiply it by itself:
9 × 9 = 81
Next, we multiply the result by 9 again:
81 × 9 = 729
In simpler terms, it means that if you multiply 9 by itself three times, you get the result of 729.
Therefore, 9 raised to the power of 3 is equal to 729.
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Which expression is equivalent to -40 + (-20) + (-60)?
The answer could be -120 in a simplified form
Answer:
−40+(−20)+(−60) = -40 - 20 - 60= -120
Step-by-step explanation:
a person can purchase a particular model of a new car with a choice of 10 colors, with or without automatic transmission, with or without 4 wheel drive, with or without air conditioning, and with 2,3 or 4 radio cd speakers. how many different options are there for this model of the car?
Final answer:
The total number of different options for the car model, considering all combinations of features such as color, transmission type, four-wheel drive, air conditioning, and number of speakers, is 240.
Explanation:
To calculate the total number of different options available for a car model, we need to consider all the possible combinations of features. In the given scenario, there are 10 choices for the color, 2 choices for the transmission (automatic or not), 2 choices for four-wheel drive (with or without), 2 choices for air conditioning (with or without), and 3 choices for the number of radio CD speakers (2, 3, or 4).
To find the total number of different combinations, we multiply the number of options for each feature:
Colors: 10 options
Transmission: 2 options (with or without automatic)
Four-wheel drive: 2 options (with or without)
Air conditioning: 2 options (with or without)
Radio CD speakers: 3 options (2, 3, or 4 speakers)
By multiplying these together, we get the total number of configurations:
Total options = 10 (colors) × 2 (transmission) × 2 (four-wheel drive) × 2 (air conditioning) × 3 (speakers)
Total options = 240 different configurations are available for this model of the car.