[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Here we go ~
[tex]\qquad \sf \dashrightarrow \: \cfrac{9 {}^{(x + 1)} - 3 {}^{2x} }{4 \times 3 {}^{(2x - 1)} } [/tex]
[tex]\qquad \sf \dashrightarrow \: \cfrac{3{}^{2(x + 1)} - 3 {}^{2x} }{4 \times 3 {}^{(2x - 1)} } [/tex]
[tex]\qquad \sf \dashrightarrow \: \cfrac{3{}^{(2x + 2)} - 3 {}^{2x} }{4 \times 3 {}^{(2x - 1)} } [/tex]
here :
[tex]{ \sf {3}^{(2x+2)}=({3}^{2x - 1})\sdot (3³)} [/tex][tex]{ \sf {3}^{(2x)}=({3}^{(2x - 1)})\sdot (3¹)} [/tex][tex]\qquad \sf \dashrightarrow \: \cfrac{3{}^{(2x - 1)}(3 {}^{3} - 3 {}^{1}) }{4 \times 3 {}^{(2x - 1)} } [/tex]
[ taking [tex]{ \sf {3}^{(2x - 1)} } [/tex]common here ]
[tex]\qquad \sf \dashrightarrow \: \cfrac{27 {}^{} - 3 {}^{}}{4 } [/tex]
[tex]\qquad \sf \dashrightarrow \: \cfrac{24{}^{} {}^{}}{4 } [/tex]
[tex]\qquad \sf \dashrightarrow \: 6[/tex]
Which of these are a correct application of the Identity Property of Addition? Select all correct answers.
Select all that apply:
−26+26=0
26−26=0
0+26=26
26×0=0
26+0=26
Answer:
0+26=26, 26+0=26
Step-by-step explanation:
When you add 0 to a number and get the same number, that's the Identity Property of Addition.
The average annual wage of workers from a certain country for selected years from 2011 projected through 2021 can be modeled by y= 2286x + 38,620, with y equal to the average annual wage
in dollars and x equal to the number of years after 2010. When does the model project that the average annual wage of workers in the country will be at least $68,400?
Select the correct choice below and fill in the answer box to complete your choice.
(Round to the nearest integer as needed.)
A. in the year
and before
B. in the year
and after
OC. in the year
The average annual wage of workers in the country will be at least $68400 in the year 2023 and after , the correct option is option (B) .
In the question it is given that
model of the average annual wage (y) = 2286x + 38620 ...(i)
where x = number of years after 2010,
It is also given that the average annual wage(y) must be at least 68,400 .
which means y ≥ 68400
Substituting value of y from equation (i) we get ,
2286x + 38620 ≥ 68400
Simplifying the inequality further we get ,
2286x ≥ 68400 - 38620
2286x ≥ 29780
x ≥ 29780/2286
x ≥ 13.02 ≅ 13
Hence , the average annual wage will more than the specified value from the year, 2010+13 = 2023 .
Therefore , the average annual wage of workers in the country will be at least $68400 in the year 2023 and after , the correct option is option (B) .
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What is the quotient of 20/8 divided by 5/12?
85/12
12
16
25/9
Answer:
6 (None of the above)
Step-by-step explanation:
Let's solve the problem,
→ 20/8 ÷ 5/12
→ 20/8 × 12/5
→ 240/40 = 6
Hence, the answer is 6.
What do I write for 23???
pls help i have no clue what this is
Answer:
³√729 = 9
Step-by-step explanation:
The given information is,
→ ³√729
Prime factorization of 729 is,
→ 3 × 3 × 3 × 3 × 3 × 3
We know that,
→ ³√27 = 3
Let's solve the problem,
→ ³√729
→ ³√{(3 × 3 × 3) × (3 × 3 × 3)}
→ ³√(27 × 27)
→ 3 × 3 = 9
Hence, the answer is 9.
Does 10x = 2.5x have one solution, no solutions, or infinite solutions, and why?
The values are different on both sides, this shows that the equation has no solution.
Equation and expressionLinear equations are equation that has a linear degree of 1. Given the expression below;
10x = 2.5x
You can see that the variable of "x" are on on both sides, hence we can cancel them out to have:
10x/x = 2.5x/x
10 = 2.5
From the result, you can see that the values are different on both sides, this shows that the equation has no solution.
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The linear equation has only one solution, which is x = 0.
How many solutions has the linear equation?
Here we have the linear equation:
10x = 2.5*x
Let's solve this to see how many solutions we have, if we subtract 2.5x in both sides we get:
10x - 2.5x = 0
7.5x = 0
The only solution of this linear equation is x = 0.
7.5*0 = 0
Then we can conclude that the equation has only one solution, which is x = 0.
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I need help with this
Answer: last one
Step-by-step explanation:
I think it's the last one because the value of 8 is negative and the value of 1 is positive. however, rita changes the negative and positive numbers and thats why she is wrong.
69+69+69-6+9-69+69+420
Answer:780
Step-by-step explanation:
Answer
The answer would be 630
Step-by-step explanation:
69+69 = 138
138+69 =207
207 - 6 = 201
201 + 9 = 210
210 -69 = 141
141 + 69 =210
21 + 420 = 630
2. Find the 200th term of
the sequence:
3. 7. 11, 15, 19....
Answer:
our initial is 3
a1=3
difference or d = 4
The general formula is an = a1+(n-1)*d
an= 3+(200-1)*4
an=3+199*4
an=3+396
an = 399
therefore the 200th item is 399
Step-by-step explanation:
a =3 d=4 n=200
apply the general formula for the nth term
What is 63,418 rounded to the nearest thousand
Answer:
the nearest thousand is 63000
A garden table and a bench cost $783 combined. The garden table costs $83 more than the bench. What is the cost of the bench?
Answer:
$350
Step-by-step explanation:
Let the cost of the bench be x. Then, the cost of the table is x+83.
[tex]x+x+83=783 \\ \\ 2x+83=783 \\ \\ 2x=700 \\ \ x=350[/tex]
The total cost is,
→ $783
Let the cost of garden table be,
→ x + $83
Then the cost of bench will be,
→ (x + 83) + x = 783
→ 2x + 83 = 783
→ 2x = 783 - 83
→ x = 700/2
→ [ x = $350 ]
Hence, the cost of bench is $350.
Under his cell phone plan, Gavin pays a flat cost of $62.50 per month and $5 per gigabyte. He wants to keep his bill at $86.50 per month. How many gigabytes of data can he use while staying within his budget?
Answer: 4.8 this is on a school site so i know this because i used the other persons answer and it marked me wrong.
a cheetah has the ability to accelerate quickly in 3 seconds suppose a cheetah could travel 1.5 hours at top speed covering 11 1.9 miles. how far can a cheetah travel in 1 hr?
The cheetah will travel a distance of 74.6 miles in one hour.
How do you define the relation of speed, time and distance?Any moving object travels a certain distance over time. We can calculate the speed using these two parameters.
We all know that speed equals distance divided by time. The fundamental unit of speed would be meters per second or 'm'/'s'.However, speed can also be expressed in different units, including such meters per minute as well as kilometers per hour. Speed is usually expressed in kilometers per hour. It is critical to remember that all unit symbols are recorded in the singular.The rate of displacement is actually referred to as speed. These three entities are linked by a formula:
Speed = Distance/Time
The time taken by the cheetah to cover the distance of 111.9 miles is 1.5 hour.
Put the values;
Speed = 111.9/1.5
Speed = 74.6 miles/ hour
Therefore, the distance covered by the Cheetah in 1 hour is 74.6 miles.
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i need help on this! its due today
Answer:
a) It's growing by 1 Hexagon in each term
b) (Self Explanatory, but if you still font know, just add 1 hexagon on the bottom tail)
c) 1-4
2-5
3-6
4-7
5-8
d) 1 hexagon is added each time
e) Common Difference = a1 - a
= 5 - 4
= 1
f) Consider the equation n + 3
where n is the number of terms.
In this case, n = 12
= 12 + 3
= 15 Hexagons
g) f(n) = 4 + 1(n-1)
f(1) = 4 + 1 ( 1 - 1)
f(1) = 4 + 1 (0)
f(1) = 4 + 0
f(1) = 4
h) (Forgive me, I actually don't know the answer for this one :'( )
The Saavedras purchased a home for $220,000 by making a 15% down payment
and borrowing the rest at 4.2% interest compounded monthly for 20 years. This
made their monthly payment $1152.99. The table below represents the first row
of an amortization table for the first period of the loan.
PLEASE. HURRY
Using proportions, the financial measures for the home purchase are given as follows:
Beginning Balance: $220,000.Interest owed: $228,076.4.Payment toward principal: $33,000.Ending balance: $448,076.4.What is a proportion and what is an example of application?A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using the unit rates, which along with operations such as multiplication or division are used to find the equivalent measures.
For this problem, the beginning balance is the purchase value of the home, hence:
Beginning Balance: $220,000.
15% of that goes towards the down payment, hence:
0.15 x 220,000 = $33,000.
Payment toward principal: $33,000.
The number of monthly payments is given by:
20 x 12 = 360 monthly payments.
Considering the monthly payment, the ending balance is given as follows:
33,000 + 360 x 1,152.99 = $448,076.4.
Hence the interest owed is:
448,076.4 - 220,000 = $228,076.4.
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-4(2x+5)-3x=35 please help ASAP. solve for x
Answer:
-5
Step-by-step explanation:
Which of the following is a whole number? Select all correct answers.
Select all that apply:
15
0
439
−9
−10
5
Answer:
15, 0, 439, 5
Step-by-step explanation:
-9 and -10 are negative integers. Whole numbers can't be negative.
Answer:
15,0,439,5 are whole numbers. eg: when we count the number of students we use 1,2,3 etc we won't use any decimal or fractions or negative values. like that whole numbers are like the numbers we count number of students
PLEASE HELP NOWW PLEASE
Answer: NOW
Step-by-step explanation:
Question 14 of 20
K
The table below shows the frequency distribution of the rainfall on 52 consecutive Mondays in a
certain city. Use the frequency distribution to construct a histogram. Do the data appear to have a
distribution that is approximately normal?
Class
0-0.19
0.20-0.39
0.40-0.59
0.60-0.79
0.80-0.99
1.00-1.19
1.20-1.39
Frequency
21
12
5
3
8
2
1
CID
+
possib
This question: 5 points) possible
Choose the correct histogram below
OA
OC.
10-
00 02 04 06 08 10 12 14
30-
20-
10-
of
00 02 04 06 08 10 12
10-
00 02 04 06 08 10 12 14
Do the data appear to have a distribution that is approximately normal?
OA No, it is not symmetric
OB. No, it is approximately uniform
OC. Yes, it is approximately normal
OD. No, it has no obvious maximum
1. The correct histogram (attached) that captures the frequency distribution is Option C.
2. Whether the data appear to have a distribution that is approximately normal, A. No, it is not symmetric.
What is a symmetric distribution?A symmetric distribution is a distribution in which the left and right sides mirror each other and it is a normal distribution, with a distinct bell shape.
In a symmetrical distribution, mean = median = mode. It is a skewed distribution when it is not symmetrical.
Data and Calculations:Class Frequency
0-0.19 21
0.20-0.39 12
0.40-0.59 5
0.60-0.79 3
0.80-0.99 8
1.00-1.19 2
1.20-1.39 1
Thus, the frequency histogram shows a skewed distribution of rainfall, where one tail is longer than the other.
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Identify the lower class limits, upper class limits,
class width, class midpoints, and class boundaries for
the given frequency distribution. Also identify the
number of individuals included in the summary.
Age (yr) when
award was won
20-29
30-39
40-49
50-59
60-69
70-79
80-89
Frequency
27
32
15
3
5
1
1
The upper class limits are- 29, 39, 49, 59, 69, 79, 89
The lower class limits are- 20, 30, 40, 50, 60, 70, 80
The class midpoints are- 24.5, 24.5, 44.5, 54.5, 64.5, 74.5, 84.5
The class boundaries are- 29.5, 39.5, 49.5, 59.5, 69.5, 79.5
And the number of individuals included in the summary is 84.
Here, we are given the following dataset-
Age (yr) when Frequency
award was won
20-29 27
30-39 32
40-49 15
50-59 3
60-69 5
70-79 1
80-89 1
Upper class limit is the largest data value that can go in a class.
Thus, the upper class limits are- 29, 39, 49, 59, 69, 79, 89
Lower class limit is the smallest data value that can go in a class.
Thus, the lower class limits are- 20, 30, 40, 50, 60, 70, 80
The class midpoint is the average of the upper and lower limits of a class. Class midpoint = (upper limit + lower limit)/ 2
Thus, the class midpoints are- 24.5, 24.5, 44.5, 54.5, 64.5, 74.5, 84.5
Class boundary is the midpoint of the upper class limit of a class and the lower class limit of the previous class.
Thus, the class boundaries are- 29.5, 39.5, 49.5, 59.5, 69.5, 79.5
Frequency gives us the number of individuals/ objects belonging to a particular class.
Thus, the number of individuals included in the summary = 27 + 32 + 15 + 3 + 5 + 1 + 1 = 84
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? : 24 = 21:14 I need help I need to finish this math packet by today
For the point P(13,
14) and Q(18, 9), find the distance
d(P,Q) and the coordinates of the midpoint M of the
segment PQ
given points P( 13 ,14) and Q( 18,9 )
we have to calculate distance
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}d = distance(x_1, y_1) = coordinates of the first point(x_2, y_2) = coordinates of the second point[/tex]
d= [tex]\sqrt{( 18-13)^2+(9-14)^2}[/tex]
d=5[tex]\sqrt{2}[/tex]
now calculating midpoints
s= 13+18 /2 =31/2
t= 14+9 / 2= 23/2
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Find the missing coordinate (x,5) and (3,3) m= 1/2
The missing coordinate of the points is 7
What are linear equations?Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the missing coordinate?The given parameters are
Slope, m = 1/2
Points (x1, y1) = (x, 5) and (x2, y2) = (3, 3)
The slope of a linear equation is calculated as
m = (y2 - y1)/(x2 - x1)
So, we have
1/2 = (3- 5)/(3 - x)
Evaluate the differences
So, we have
1/2 = -2/(3 - x)
Cross multiply
So, we have
3 - x = -4
This gives
x = 3 + 4
Evaluate the sum
x = 7
Hence, the missing coordinate of the points is 7
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What is -12 + 12 x 10?
Question 13 (1 point)
Saved
Given the following definitions:
U= (a, b, c, d, e, f, g)
A = {a, c, e, g)
B = (a, b, c, d]
Find A U B'
Answer:
{a, c, e, f, g}
Step-by-step explanation:
[tex]B'=\{a,b,c,d,e,f,g\}-\{a,b,c,d\}=\{e,f,g\} \\ \\ A \cup B=\{a,c,e,f,g\}[/tex]
What would the Median of 112 113 116 118 119 124 be?
high divers use the height of the diving platform to calculate the speed at which they enter the water. The formula 5s- 3h = 12 models the diver's speed's (in miles per hour) and the height h (in feet) of the platform.
Answer:idek
Step-by-step explanation:
Use braces to write the members of the set, or state that the set has no members.
The whole numbers greater than 5 and less than 9
A.
{6, 7, 8}
B.
{5, 6, 7, 8}
C.
{6, 7, 8, 9}
D.
{5, 6, 7, 8, 9}
Answer:
A
Step-by-step explanation:
the temperature was 75 degrees. at noon, the temperature increased by 7. by evening the temperature decreased by 7
Answer:
75
Step-by-step explanation:
75 + 7 = 82
82 - 7 = 75
Solving systems by substitution
y=x+3
2x-2y = -6
Answer:
All Real Numbers
Step-by-step explanation:
Hello!
We have to find the intersection of the two lines algebraically using substitution.
Given that y is x + 3, substitute x + 3 for y in the second equation to solve for x.
Solve for x2x - 2y = -6; y = x + 32x - 2(x + 3) = -62x - 2x - 6 = -6-6 = -6The solution for x is all real numbers, indicating that the solution to the system is also all real numbers.
What does this mean graphically?A solution to the system is the point of intersection from all the lines.
If there are infinite solutions (all real numbers), there are an infinite number of intersections, or they are the same line.
Solving for y in the second equation:
2x - 2y = -6-2y = -2x - 6y = x + 3Both equations are the same.
