Answer: The answer is [tex]1\dfrac{28}{99}.[/tex] .
Step-by-step explanation: The given rational number is
[tex]R=1.\bar{28}.[/tex]
We are to select the correct expression from the options that is equivalent to the given rational number.
Let us consider that
[tex]x=1.\bar{28}\\\\\Rightarrow x=1.28\bar{28}\\\\\Rightarrow 100\times x=100\times 1.28\bar{28}\\\\\Rightarrow 100x=128.\bar{28}\\\\\Rightarrow 100x=128+.\bar{28}\\\\\Rightarrow 100x=127+x\\\\\Rightarrow 100x-x=127\\\\\Rightarrow 99x=127\\\\\Rightarrow x=\dfrac{127}{99}\\\\\Rightarrow x=1\dfrac{28}{99}.[/tex]
Thus, the correct option is [tex]1\dfrac{28}{99}.[/tex]
The drawing below is an example of what kind of perspective?
One-point
Two-point
Three-point
Four-point
Five-point
Answer:
Two-point
Step-by-step explanation:
"Orthogonal" lines intersect the horizon at two points. This is an example of 2-point perspective.
In which section of the number line is √32?
sqrt(32) = 5.66
so it is in section B
Answer:
section B.
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What is the approximate difference in the amount of wax needed to make a candle from each of these molds? use π = 3.14. 16.75 cubic inches 20.93 cubic inches 24.25 cubic inches 33.49 cubic inches?
what is the question ?????
What is the approximate difference in the amount of wax needed to make a candle from each of these molds? use π = 3.14. 16.75 cubic inches 20.93 cubic inches 24.25 cubic inches 33.49 cubic inches? what are we taking the diffference from
The tile pattern shown was used in Pompeii for paving. If the diagonals of each rhombus are 2 inches & 3 inches, what area makes up each cube in the pattern?
$5.50 markup 75% what is the selling prize
To calculate the selling price with a 75% markup on a $5.50 item, multiply the original cost by 0.75 to find the markup amount and then add it to the original cost. The final selling price is $9.63.
Calculating the Selling Price with a Markup
To determine the selling price of an item with a 75% markup, follow these steps:
Determine the original cost of the item, which is $5.50 in this case.Calculate the markup amount by multiplying the original cost by the markup percentage. Express the percentage as a decimal:Therefore, the selling price for the item with a 75% markup on an original cost of $5.50 is $9.63.
If a circle has a diameter of 30 meters, which expression gives its area in square meters?
A.15^2 x π
B. 30 x π
C. 30^2 x π
D. 15 x π
Answer:
A.15^2 x π (APEX)
Step-by-step explanation:
I just need the answers for this.im really confused
What is the slope of a line that is parallel to the graph of y=3x-2
You pick 3 digits (0-9) at random without replacement, and write them in the order picked. what is the probability that you have written the first 3 digits of your phone number? assume there are no repeats of digits in your phone number.
The required probability of the numbers picked of the first three digits of the mobile number is 0.037.
Given that,
Pick 3 digits (0-9) at random without replacement, and write them in the order picked. what is the probability that you have written the first 3 digits of your phone number? assume there are no repeats of digits in your phone number is to be evaluated.
Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
From 0 to 9 we have 10 numbers,
For the number to be picked,
There must be no repetition,
So the number of ways to 1 pick 1st number is 10,
The number of ways to pick 2nd number is 9
The number of ways to pick 3rd number is 8
Total number of ways = 10 + 9 + 8 = 27
Now probability, that this three-digit would be a mobile number,
= 1 / 27
= 0.037
Thus, the required probability of the numbers picked of the first three digits of the mobile number is 0.037.
Learn more about probability here:
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How many 6-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, if repetitions of digits are allowed?
Final answer:
There can be 900,000 unique 6-digit numbers formed using the digits 0-9 with repetitions allowed, considering the first digit cannot be 0.
Explanation:
Calculating 6-Digit Numbers with Repetitions
The question pertains to the number of unique 6-digit combinations that can be made from the digits 0-9 when repetitions are allowed. Since the first digit of a 6-digit number cannot be 0 (as it would make the number a 5-digit number), there are 9 possibilities for the first digit (1-9). For each of the five remaining positions, all 10 digits (0-9) are possibilities because we are allowing repetitions. Therefore, the total number of combinations is calculated by multiplying the possibilities for each digit place.
The solution is as follows: 9 possibilities for the first digit times 10 possibilities for each of the second, third, fourth, fifth, and sixth digits.
9 (first digit) * 10 (second digit) * 10 (third digit) * 10 (fourth digit) * 10 (fifth digit) * 10 (sixth digit) = 900,000 unique 6-digit numbers that can be formed.
Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are 20 and 2500, respectively.
Answer:
The explicit formula of the geometric sequence is:
[tex]a_n=4\times 5^{n-1}[/tex]
Step-by-step explanation:
The explicit formula is the expression where the nth term is given in terms of the first term of the sequence.
We know that the explicit formula for a geometric sequence is given by:
[tex]a_n=(a_1)^{r-1}[/tex]
Here we are given:
The second and fifth terms as: 20 and 2500 respectively.
i.e.
[tex]a_2=20[/tex] and [tex]a_5=2500[/tex]
i.e.
[tex]ar=20\ and\ ar^4=2500[/tex]
Hence,
[tex]\dfrac{ar}{ar^4}=\dfrac{20}{2500}\\\\\\\dfrac{1}{r^3}=\dfrac{1}{125}\\\\\\(\dfrac{1}{r})^3=(\dfrac{1}{5})^3\\\\\\\dfrac{1}{r}=\dfrac{1}{5}\\\\\\r=5[/tex]
Also,
we have:
[tex]ar=20\\\\i.e.\\\\a\times 5=20\\\\i.e.\ a=4[/tex]
Hence, the explicit formula is given by:
[tex]a_n=4\times 5^{n-1}[/tex]
The table shows the estimated number of lines of code written by computer programmers per hour when x people are working.
Which model best represents the data?
A.) y = 47(1.191)x
B.) y = 34(1.204)x
C.) y = 26.9x – 1.3
D.) y = 27x – 4
Answer:
Hence, the model that best represents the data is:
[tex]y=26.9x-1.3[/tex]
Step-by-step explanation:
We are given a table that shows the estimated number of lines of code written by computer programmers per hour when x people are working.
We are asked to find which model best represents the data?
So for finding this we will put the value of x in each of the functions and check which hold true that which gives the value of y i.e. f(x) as is given in the table:
We are given 4 functions as:
A)
[tex]y = 47(1.191)^x[/tex]
B)
[tex]y=34\times (1.204)^x[/tex]
C)
[tex]y=26.9x-1.3[/tex]
D)
[tex]y=27x-4[/tex]
We make the table of these values at different values of x.
x A B C D
2 66.66 49.3 52.5 50
4 94.57 71.44 106.3 104
6 134.14 103.57 160.1 158
8 190.27 150.14 213.9 212
10 269.91 217.64 267.7 266
12 382.85 315.5 321.5 320.
Hence, the function that best represents the data is:
Option C.
y=26.9x-1.3
Help thank you :((((((((((((((((((
What is the tangent ratio for angle f
Evaluate the expression m + o for m = 9 and o = 7.
How were the numbers 1 10 100 and 1000 written by romans?
if z=2.5, x=102 and x=100, what is s?
I believe the problem ask for s which is the standard deviation. We must recall that the formula for z statistic is stated as:
z = (x – x over bar) / s
Where,
z = z statistic = 2.5
x = sample value or sample score = 102
x over bar = the sample mean or sample average = 100
s = standard deviation = unknown
Rewriting the equation in terms of s:
s = (x – x over bar) / z
Substituting the given values into the equation:
s = (102 – 100) / 2.5
s = 0.8
Therefore the standard deviation s is 0.8
Use the Remainder Theorem to determine which of the following is a factor of p(x) = x 3 - 2x 2 - 5x 6.
Answer:
x-3
Step-by-step explanation:
2[18-(5+9)÷7]
show how you did it
LAW ENFORCEMENT: A police accident investigator can use the formula S=25L‾‾‾√S=25L to estimate the speed s of a car in miles per hour based on the length l in feet of the skid marks it left. How fast was a car traveling that left skid marks 109 feet long?
Evaluate the limit using the appropriate Limit Law(s). (If an answer does not exist, enter DNE.) lim t → −2 t4 − 3 2t2 − 3t + 3
Final answer:
To evaluate the limit of the given function, substitute the value that t is approaching into the expression. In this case, t is approaching -2. Plugging -2 into the function, we get 0.7647.
Explanation:
To evaluate the limit of the given function, we can substitute the value that t is approaching into the expression. In this case, t is approaching -2. Plugging -2 into the function, we get:
lim t → -2 t^4 - 3 / 2t^2 - 3t + 3 = (-2)^4 - 3 / 2(-2)^2 - 3(-2) + 3 = 16 - 3 / 8 + 6 + 3 = 13 / 17 = 0.7647
Therefore, the limit is approximately 0.7647.
Raina wants to paint the ceiling of her restaurant. The ceiling is in the shape of a square. Its side lengths are 55 feet. Suppose each can of paint will cover 275 square feet. How many cans will she need to paint the ceiling?
area of the ceiling = 55 x 55 = 3025 square feet
3025/275 = 11 cans
What is 35 minus 3 times 8
Based on the chart, which would be considered the dependant variable?
Answer:
u didn't provide a chart but the dependent variable is the y axis, or the vertical line
Step-by-step explanation:
It's always the y axis (the vertical line)
HELP PLEASE ASAP !!!! 80 POINTS !!!!!!!
There are 975 birds in an aviary. Each month, the number of birds decreases by 7%. There are 350 trees in the aviary. Each month, 7 trees are removed.
Part A: Write functions to represent the number of birds and the number of trees in the aviary throughout the months. (4 points)
Part B: How many birds are in the aviary after 12 months? How many trees are in the aviary after the same number of months? (2 points)
Part C: After approximately how many months is the number of birds and the number of trees the same? Justify your answer mathematically. (4 points)
Part A
months = m
since birds decrease by 7%, there will be 93% left. 93% = 0.93
birds: 975 x 0.93^m
trees: 350 - 7m
Part B
birds: 975 x 0.93^12 = 408
trees: 350-7(12) = 266
Part C
350 - 7m = 0.93^m(975)
We have intersection points at approximately 22.21 and 44.4781. round off to whole numbers, we have 22 and 44 months.
The slope of a line running through points (2, 3) and (1, 7) is:
4.
-4.
2.
-2.
convert this percent into decimal form
3
82-- % same as 82 3/4%
4
82% = 0.82
823/4% = 0.8275
Indicate a general rule for the nth term of this sequence. 12m, 15m, 18m, 21m, 24m,...
a. = 3mn + 9m
b. = -3mn - 9m
c. = -3mn + 9m
d. = 3mn - 9m
The coordinates of quadrilateral FGHJ are F(-5, -3), G(-3, 3), H(3, 5), and J(7, -1).
Find the midpoint of FJ
A) (0,4)
B) (1, -2)
C) (-4, 0)
D) (5, 2)
This is a question from my math chapter 20: Figures in the Coordinate Plane
i think that is C i had that one but i forget
hope that help
BMK
Answer:
B. [tex](1,-2)[/tex]
Step-by-step explanation:
We have been given that coordinates of quadrilateral FGHJ are F(-5, -3), G(-3, 3), H(3, 5), and J(7, -1). We are asked to find the coordinates of mid-point of segment FJ.
We will use mid-point formula to solve our given problem.
[tex]\text{Mid-point}=\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}[/tex]
Upon substituting the coordinates of points F and J in mid-point formula we will get,
[tex]\text{Mid-point}=\frac{-5+7}{2},\frac{-3+-1}{2}[/tex]
[tex]\text{Mid-point}=\frac{2}{2},\frac{-4}{2}[/tex]
[tex]\text{Mid-point}=1,-2[/tex]
Therefore, the coordinates of mid-point of segment FJ are [tex](1,-2)[/tex] and option B is the correct choice.
Melinda has 1 seashell, and Jun has 9 seashells. If Melinda and Jun put their seashells together and then divide them up equally, how many will each one of them have? 3 5 8 10
Answer:
B.) 5
Step-by-step explanation:
Just did this :3