Answer:
1,000,000,000 identification numbers are possible.
Step-by-step explanation:
We are assigned a 9 digit identification number.
Each digit is a number from 0 to 9. So, each digit has 10 different choices.
Using the Fundamental Counting Principle (is better than the tree diagram) because it's simpler. To illustrate this, we can attempt to draw a tree diagram.
The first column will be the digits 0 to 9.
Then for each of those digits, we need another 0 to 9.
As you can imagine, the amount of numbers grow exponentially, so using the Fundamental Counting Principle is simpler.
And since we have a 9 digit identification number, with each digit having 10 choices, the total number of identification numbers possible are:
[tex]10\times 10\times 10 \times 10\times 10 \times 10 \times 10 \times 10 \time 10\times 10=10^9=100000000[/tex]
So, 1,000,000,000 identification numbers are possible.
What is the volume of a rectangular prism whose length is 2x+1 units, width is x-2 units, and whose height is 3x units?
6x^3-9x^2-6x cubic units
6x^2-9x-6 square units
6x^3-9x^2+6x cubic units
6x^3-15x^2+6x cubic units
Answer:
V = 6x^3 - 9x^2 - 6x (which matches the third answer choice)
Step-by-step explanation:
The volume of a rectangular prism of length L, depth W and height H is
V = L * W * H.
Thus,
in this case,
V = (2x + 1)(x - 2)(3x).
The order in which we multiply these quantities together is immaterial.
Working from left to right, we get:
V = (2x^2 - 3x - 2)(3x), and then:
V = 6x^3 - 9x^2 - 6x (which matches the third answer choice)
Find the value of x and y that makes the quadrilateral a parallelogram
Answer:
x=25
y=15
Step-by-step explanation:
hope it helps bye :]
Find (f+g)(x) for the function.
f(x) = x2 + x
g(x) = x + 2
X = {a, c, d, e, f, g,I}
Y = {b, c, d, e, h, i, k, l, m}
Z = {c, f, i, j, m}
Represent the above information on a Venn diagram.
Help
Answer: sorry but i need points
Answer:
Step-by-step explanation:
me too^^
Using Triangle Similarity Theorems (6)
A
12
E A
B
9
D
What is the length of DC? Show work.
Answer:
DC = 3
Step-by-step explanation:
Based on triangle similarity theorem, we would have the following equation:
[tex] \frac{AD}{AC} = \frac{AE}{AB} [/tex]
Plug in the values
[tex] \frac{9}{9 + DC} = \frac{12}{12 + 4} [/tex]
[tex] \frac{9}{9 + DC} = \frac{12}{16} [/tex]
[tex] \frac{9}{9 + DC} = \frac{3}{4} [/tex]
Cross multiply
3(9 + DC) = 9×4
27 + 3DC = 36
Subtract 27 from each side
3DC = 36 - 27
3DC = 9
Divide both sides by 3
DC = 9/3
DC = 3
PLZZZ HELP ME I BEG U I WILL GIVE BRANILY
x - intercept is were the graph intercepts the x axis the maximum is the largest y value on the graph
increasing 1-3 and decreasing 3-6
4/3 slope
Algebra 2 Math. I need help please. Question is image.
Answer:
k = 8
(x² + 8)(x - 1)(x+5)
Step-by-step explanation:
The reflection of point s across the y-axis is point_ the reflection of point
Answer:
Point V
Step-by-step explanation:
i think
Someone please fill in the blanks
Answer:
Option B
Step-by-step explanation:
Scale factor by which the triangle ABC has been dilated to form the image triangle DEF,
Scale factor = [tex]\frac{\text{Dimension of image triangle}}{\text{Dimension of the original triangle}}[/tex]
= [tex]\frac{EF}{BC}[/tex]
= [tex]\frac{1}{2}[/tex]
Therefore, Option B will be the correct option.
PLS HELP ME!! Jdjjssnbshsnsvgzhshsvssu
Answer: The 2 litter bottle holds more
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
half a gallon is only 1.89 litters and two liters only holds .528 of a gallon
whats s scater plot?
Answer:
A scatter plot is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data. If the points are coded, one additional variable can be displayed.
Step-by-step explanation:
How many 20 ounce bottle does it take to make a gallon
Answer: 8 bottles
Step-by-step explanation:
The answer is that 8 bottles of 20 ounces will equal a gallon.
Answer:
it takes
8 bottles to make that
-6x+5y=1 and 6x+4y=10.substitution
Answer:
(23/27, 11/9)
Step-by-step explanation:
Given the simultaneous equation;
-6x+5y=1..... 1
6x+4y=10.... 2
Add both equations
5y + 4y = 1+10
9y = 11
y = 11/9
Substitute y = 11/9 into 1;
From 1;
-6x+5y=1.
-6x + 5(11/9) = 1
-6x + 55/9 = 1
-6x = 1- 55/9
-6x = (9-55)/9
-6x = -46/9
x = -46/-54
x = 23/27
The solution to the system of equation is (23/27, 11/9)
A company sells widgets. The amount of profit, y, made by the
company, is related to the selling price of each widget, x, by the given
equation. Using this equation, find out the maximum amount of profit
the company can make, to the nearest dollar.
y = -4x^2 + 183x – 1247
Answer:
846.06 units
Step-by-step explanation:
The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation as follows :
[tex]y = -4x^2 + 183x- 1247[/tex] ...(1)
We need to find out the maximum amount of profit the company can make.
For maximum profit put dy/dx = 0
So,
[tex]\dfrac{d}{dx}(-4x^2 + 183x- 1247)=0\\\\-8x+183=0\\\\x=\dfrac{183}{8}\\\\x=22.87[/tex]
Put x = 22.87 in equation (1). So,
[tex]y = -4(22.87)^2 + 183(22.87)- 1247\\\\=846.06[/tex]
So, the maximum profit is 846.06 units.
Hind the area. WORK 8 mm
Answer:
모 ⃢ ⃢ Heres The Link To The Answer: https://vm.answersheet.com/ZMeSy4nH1/
Step-by-step explanation:
State one of the De Morgan’s laws for Logic
In set theory, De Morgan's Laws relate the intersection and union of sets through complements. In propositional logic, De Morgan's Laws relate conjunctions and disjunctions of propositions through negation. De Morgan's Laws are also applicable in computer engineering for developing logic gates.
kim owes $870.00 on her mastercard account. She returns two items costing $35.90 and $150.00 and receive credits for these on the account. Next, she makes a purchase of $82.50, and then two more purchases of $10.00 each. She makes a payment of $500.00. She then incurs a finance charge of $37.23. How much does she still owe?
Answer:
She has 499.3$
Step-by-step explanation:
870+35.90+35.90+150-82.50-10-500
Part B: Which of the following statements
accurately describes the shape, center, and
spread of the data?
O A. The range is 9, there is a gap at 94, the
distribution is skewed right, and there is a peak
at 96.
o B. The median is 96, there is a gap at 92, a peak
at 96, and the distribution is symmetrical.
O C. The mode is 96, there are gaps at 92 and 94,
the distribution is skewed left, and 90 and 91
are outliers.
D. The mean is about 95.5, there are no gaps, the
distribution is symmetrical, and 90 is an outlier
Answer:
c
Step-by-step explanation:
because that would be the wrong one
Charlie made $198 for 11 hours of work. At the same rate, how many hours would he have to work to make $126?
Answer:
Charlie would have to work 7 hours to make $126.
Step-by-step explanation:
198 ÷ 11 = 18
$18 - 1 hour
126 ÷ 18 = 7
29. The augmented matrix for a linear system in variables x, y, and z are given below. The augmented matrix is in
reduced row-echelon form. Give the solution of the system.
1
0
LO
0 0
1 0
0 1
1
1
o]
(x, y, z)= (------...-)
X Х
answer:
(x,y,z) = (1,1,0)
Explanation:
|1 0 0 | 1 | r1 - r3 -> r1
|0 1 0 | 1 | r2 - r3 -> r1
|0 0 1 | 0 |
[tex]1 - 0 = 1 \\ 0 - 0 = 0 \\ 0 - 1 = - 1 \\ 1 - 0 = 1[/tex]
first row⬆️
second row:
[tex]0 - 0 = 0 \\ 1 - 0 = 1 \\ 0 - 1 = - 1 \\ 1 - 0 = 1[/tex]
third row rest the same
Find the value of x.
Answer:
20Step-by-step explanation:
to understand thisyou need to know about:equationPEMDAStips and formulas:a straight line contains 180°let's solve:according to the question
7x+x+20=180
=>8x+20=180
=>8x=160
therefore
x=20
x + 5 = 24 whar values can be substituted for x to make the equation true
Answer:
x=19
Step-by-step explanation:
24-5=19
Answer:
x = 19
Step-by-step explanation:
24 - 5 = 19
or
you can also solve it like this:
x + 5 = 24
- 5 - 5
x = 19
( The answer is a response, Not multiple Choice )
Really need help with this!!!
Answer:
Around 6.65
Step-by-step explanation:
The fair market rental rate for Columbus was $630 in 2013 and $551 in 2003. Find the rate of change for the fair market rental rate in Columbus during this period.
Answer:
7.9
Step-by-step explanation:
y2-y1\x2-x1
please help !! i need numbers 1 and 2
Answer:
1. No solution (the two lines are parallel)
2. One solution (the two lines intersect at one point)
What is the inverse of f(x)=3x+14
Answer:
f^-1(x)=x/3-14/3
Step-by-step explanation:
Joey ate 3/5 of a pizza and Rachel ate 2/3 of a pizza. About how much pizza did they eat altogether? Show and explain how you estimate how much pizza they ate.
Answer:
The answer is 1 4/15 of a pizza.
Step-by-step explanation:
You have to change both fractions to their least common denominator. 3/5 would = 9/15 and 2/3 would equal 10/15. You add the two together and you get 19/15 or
1 4/15.
In the figure below m ll j find the values x and y
Answer:
Step-by-step explanation:
(6y-145) = 71
y = 36°
x = 180 - (6y-145)
= 180 - 216 + 145
= 109°
Brandon measured the length of a pencil to be 18cm. The actual length of the pencil is 21cm. What is the percent error for Brandon’s measurement? (Round to the nearest tenth).
Answer:
14.2% error
Step-by-step explanation:
21-18 = 3
3/21 = 14.2
Answer:
14.2%
Step-by-step explanation:
21-18 = 3
3/21 = 14.2