The 2021st term of the sequence is (- n - 2017).
Given,
A sequence is constructed by listing all the possible numbers that contain no digit greater than 3 in ascending order.
We need to find out what is the 2021st term of this sequence.
What is an arithmetic sequence?An arithmetic sequence is a sequence where the difference between the consecutive terms is the same.
Example: 2, 4, 6, 8, 10
4 - 2 = 2
6 - 4 = 2
8 - 6 = 2
The nth term of an arithmetic sequence is given by:
= a + ( n - 1 ) d
Where a = the first term
d = common difference
Let the sequence that contains no digit less than 3 in ascending order be:
3 - n, 3 - (n + 1), 3 - (n+2), 3 - (n+3), 3 - (n+4),......
Where n = any real number from 1.
We see that the common difference is -1.
3 - (n+1) - (3 - n)
= 3 - n - 1 - 3 + n
= -1
3 - (n+2) - [3-(n+1)]
= 3 - n - 2 - 3 + n + 1
= -1
Find the 2021st term.
We have,
a = 3 - n
d = -1
n = 2021
= a + ( n - 1 ) d
= (3 - n) + ( 2021 - 1 ) (-1)
= 3 - n - 2020
= - n - 2017
Thus the 2021st term of the sequence is - n - 2017.
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The formula for the volume V of a cylinder is V = r²h, where r is the radius of the base and his the height of the
cylinder. Solve the formula for h. Then find the height of a cylinder with a volume of 36 cm³ and a base with a
radius of 3 cm.
Answer: h=V/r²
h=4 cm
Step-by-step explanation:
V = r²h solve for h
V/r² = r²h/r² ==> divide the formula by r² to isolate h
h=V/r²
h=36/(3)²
h=36/9
h=4 cm
If the total price for two cars at a dealership is $98,000, where one car’s price is $13,000 less than twice the other, what is the price of the cheaper vehicle?
Last month, Juan and Mariana sold candy to raise money for their debate team. Mariana sold 1/10 as much candy as Juan did. If Juan sold 3 boxes of candy, how many boxes of candy did Mariana sell?
The number of boxes of candy that Mariana sells is 3/10.
How many boxes of candy did Mariana sell?A fraction is a non integer that is made up of a numerator and a denominator. An example of a fraction is 3/10. 3 is the numerator and 10 is the denominator.
In order to determine the boxes of candy that Mariana sold, multiply the fraction of boxes that Mariana sold by the number of boxes of candy that Juan sold.
Multiplication is the mathematical operation that is used to determine the product of two or more numbers. The sign used to represent multiplication is x.
Boxes that Mariana sells = fraction of boxes that Mariana sells x number of boxes that Juan sold
1/10 x 3 = 3/10
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order of operation
2[(4+5)⋅3]
Answer: 54
Step-by-step explanation:
2[(4+5)⋅3]
⇒2[9⋅3]
⇒2[27]
⇒54
Audrey misses 10% of the free throws she attempts in a season. How many total free throws did she attempt if she missed 52?
Answer:
520
Step-by-step explanation:
10 missed in 100 free throw ( because of 100%)
=> 1 missed in (100/10) free throw
=> 52 missed in (52*100/10) free throw
= 520 free throw
Hope it helps!
Brainliest?
I don’t understand the question 2 for this math equation.
Answer:
Step-by-step explanation:
Time/mph
The perimeter of the triangle shown is 556 meters. Find
the length of each side.
x meters =
4x meters =
(8x - 3) meters =
(Type integers or decimals.)
4x meters
(8x - 3) meters
x meters
Answer X=43 ,4X=172, (8X-3)=101
Step-by-step explanation:
Perimeter = addition of all sides ie;
556=X+4X+8X-3
556=13X-3
556+3=13X
559/13=13X/13
X=43
replace x with 43 to get their
if h(t)=1/t divided by 1 what is h(1/2)
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Given the function [tex]h(t)=\frac{1}{t+1}[/tex], we can find [tex]h(\frac{1}{2} )[/tex] by substituting [tex]\bf{t=\frac{1}{2}}[/tex].
When t= [tex]\frac{1}{2}[/tex],
[tex]h(\frac{1}{2})[/tex]
[tex]=\frac{1}{\frac{1}{2}+1 }[/tex]
[tex]=\frac{1}{(\frac{3}{2} )}[/tex]
[tex]=\bf{\frac{2}{3}}[/tex]
Additional:
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40 is 77% of what number?
HELP WITH THIS PROBLEM PLEASE
No, by rounding the conversion ratio, the Ruiz family will not be getting the most accurate answer. Using the more accurate conversion ratio will give an answer with more than 2 decimal places so the answer can accurately be rounded after the conversion.
Using proportions, it is found that the Ruiz family is not getting the most accurate ratio and are losing money, thus the rounding should be realized after the conversion.
What is the missing information?The Ruiz family is exchanging Euros for USD dollars, considering the following currency rate:
1 euro = 1.35261 USD.
Considering that the amounts in USD are rounded to the nearest hundredth, the use the following rule
1 euro - 1.35 USD.
It asks if the Ruiz family will be getting the most accurate answer.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
For this problem, we suppose a 1000 euros amount, them:
1000 x 1.35261 = $1,352.61.1000 x 1.35 = $1,350.Hence the Ruiz family is not getting the most accurate ratio and are losing money, thus the rounding should be realized after the conversion.
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6c+5d-4c-3d+3c-6d; c=4 and d=-2
Evaluate the expression for the given values of the variables.
show all work please
We are to evaluate the expression:
[tex]6c + 5d - 4c - 3d + 3c - 6d[/tex]
Where:
[tex]c = 4[/tex], [tex]d = 2[/tex]
Here, we just have to replace the variables with their given values, as shown below:
[tex]6(4) + 5(2) - 4(4) - 3(2) + 3(4) - 6(2)[/tex]
Now, we calculate.
[tex]→24 + 10 - 16 - 6 + 12 - 12[/tex]
Final answer
[tex] = 12[/tex]
someone please help me with this question i really dont understand it
Answer:
d = 510 km
Step-by-step explanation:
She travelled the final 4 hours at a constant speed of 60 km/h.
distance = speed × time
distance = 60 km/h × 4 hours
distance = 240 km for the last 4 hours
She already had travelled 270 km in the first 3 hours.
d = total distance = 270 km + 240 km = 510 km
Answer: d = 510 km
A chemist needs to mix a 2% acid solution and a 10% acid solution to make 600 mL of a 5% acid solution. write and solve a system of equations to find the volume of the 2% solution and the volume of the 10% solution that the chemist will need.
Points points points!!
By solving a system of equations, we can see that the chemist needs to use 375 mL of the 2% acid, and the other 225% of the 10% acid.
How to write and solve the system of equations?
Let's define the variables that we will need to write our system of equations:
x = mL of the 2% acid solution used.y = mL of the 10% acid solution used.We know that the chemist wants to make 600mL of a 5% acid solution, so we can write the system of equations:
x + y = 600
x*0.02 + y*0.10 = 600*0.05
If we isolate y on the first equation, then we get:
y = 600 - x
Now we can replace that on the other equation so we get:
x*0.02 + (600 - x)*0.10 = 30
With this, we can get the value of x.
x*0.02 + 60 - x*0.10 = 30
-x*0.08 = 30 - 60 = -30
x = 30/0.08 = 375
So the chemist needs to use 375 mL of the 2% acid, and the other 225% of the 10% acid.
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Is 12/5 a integer number?
Answer:
Step-by-step explanation:
No. It has to be a whole number in order to be an integer, and 12/5 = 2.4, and therefore is not a whole number.
show your work, and explain and write the final answer in a complete sentence. i will give brainlest to whoever answers! due right now please help this will impact my grade!
Answer: Simplify the expression.
Scientific Notation:
4 ⋅ 10^7
Expanded Form:
40000000
Step-by-step explanation:
by doing 2.7*10^(5) divided by 6.75*10^(3)
you get the answer or now saying its
4 ⋅ 10^7 miles away basically. hope this helped
What´s 5/6 X 1/4 =? its fraction operations
Answer:
0.2083
Step-by-step explanation:
The function f(x) = 5(1/5)* is reflected over the y-axis. Which equations represent the reflected function? Select two
options.
Of(x) = -(5)-x
f(x)=3*
f(x) = 5(-3)*
Of(x) = 5(5)*
f(x) = 5(5)*
The equations that will represent the reflected function are:
(c) [tex]f(x)=5(\frac{1}{5})^{-x}[/tex] and;
(d) [tex]f(x)=5(5)^{x}[/tex]
If two functions share the same domain and codomain and have values that are consistent across all domain elements, they are said to be equivalent.
Consider the function,
[tex]f(x)=5(\frac{1}{5})^{x}[/tex]
Now,
Positive x-values and negative x-values are switched by a reflection over the y-axis, which also swaps the values of x and x.
So,
[tex]f(-x)=f(x)[/tex]
The reflection of the function f(x) across the y axis will be:
[tex]f(x)=5(\frac{1}{5})^{-x}[/tex]
Therefore, the equivalent function will be:
[tex]f(x)=5(\frac{1}{5})^{(-1)(x)}[/tex]
[tex]f(x)=5 \times ((\frac{1}{5})^{-1})^{x} \\f(x)=5(5)^{x}[/tex]
Therefore, the equations which represent the function are:
[tex]f(x)=5(\frac{1}{5})^{-x}[/tex] and;
[tex]f(x)=5(5)^{x}[/tex].
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The complete question is mentioned below:
The function [tex]f(x)=5(\frac{1}{5})^{x}[/tex] is reflected over the y-axis. Which equations represent the reflected function? Select two options.
(a) [tex]f(x)=\frac{1}{5}(5)^{-x}[/tex]
(b) [tex]f(x)=\frac{1}{5} \frac{1}{5} [\frac{1}{5} ]^{x}[/tex]
(c) [tex]f(x)=5(\frac{1}{5})^{-x}[/tex]
(d) [tex]f(x)=5(5)^{x}[/tex]
(e) [tex]f(x)=5(5)^{-x}[/tex]
the average lifetime of a certain new cell phone is three years. the manufacturer will replace any cell phone failing within two years of the date of purchase. the lifetime of these cell phones is known to follow an exponential distribution. the decay rate is:
The decay rate of a certain new cell phone is 0.333
For given question,
The average lifetime of a certain new cell phone is three years.
The manufacturer will replace any cell phone failing within two years of the date of purchase.
Also, the lifetime of these cell phones is known to follow an exponential distribution.
We need to find the decay rate.
We know that an exponential decay is the process of reducing an amount by a consistent percentage rate over a period of time.
since the average lifetime of a certain new cell phone is three years, the decay rate would be 1/3 = 0.333
Therefore, the decay rate of a certain new cell phone is 0.333
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331 students went on a field trip. Six
buses were filled and 7 students
traveled in cars. How many students
were in each bus?
The number of students in each bus are 54 students .
Given that, 331 students went on a field trip. Six buses were filled and 7 students traveled in cars.
Now you may get that only 7 students out of 331 are travelled in cars whereas others travelled by bus.
number of total students travelled by bus are 331-7 = 324 students
Therefore 324 students travelled in 6 buses.
Number of students travelled in each bus = 324/6 = 54 students.
Therefore number of students travelled in each bus is 54 students .
verification:
number of buses = 6
number of students in each bus = 54
Therefore total number of students in 6 buses = 6*54 = 324 students.
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Find the product.
(−6)(−7)=
Answer:
The answer to your question is 42
the answer is 42 because the parentheses around the -6 and the -7 mean to multiply them and that two negatives make a positive so -6 * -7 equals 42
Hope this helps!
Given y =
2x+1/4x-3
•Solve for x.
•evaluate x when y = 1
Answer:
Solve for x: [tex]x = \frac{3y+1}{4y-2}[/tex]
Evaluate x for y = 1: [tex]x = 2[/tex]
Step-by-step explanation:
[tex]Original:y=\frac{2x+1}{4x-3}\\Multiply\ out\ the\ denominator:(4x-3)*y = 2x+1\\Distribute: 4xy - 3y = 2x+1\\Group\ Like\ Terms:4xy-2x = 3y+1\\Factor\ Out\ x: x(4y-2) = 3y+1\\Divide\ to\ get\ x\ alone:x = \frac{3y+1}{4y-2}\\\\Plug\ in\ the\ value\ for\ y:x = \frac{3(1)+1}{4(1)-2}\\Multiply:x = \frac{3+1}{4-2}\\Add:x = \frac{4}{2}\\Simplify/Divide:x=2[/tex]
irections: Determine if the equations are parallel, perpendicular, or neither
1. x + y = 8 and y = -x - 1
Answer: They are parallel
Step-by-step explanation:
Turn them both into slope-intercept form:
y = -x + 8
y = -x - 1
Since the slope on both of them are the same (-1), they are parallel
Tyshawn bought 23 chicken wings for $23.00. If Tyshawn spent $3.00, how many
chicken wings did he buy?
3 chicken wings he buys after spending $3.00
What is multiplication?When you take a single number and multiply it by several, you are multiplying. There are a number of distinct indications of amplification that people utilize. The "x" sign represents the most typical, however, other symbols like the "*" sign are also occasionally used.
Tyshawn spent $23.00 on 23 chicken wings.
Therefore in $1 the chicken wings that can be brought will be
= 23 /23
= 1
As he spent $3.00 on the chicken wings then the quantity that he has brought will be
= $3 * 1
= 3
The number of chicken wings that were brought was 3.
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4/7 x 1/7 what is the answer
Answer:
[tex]\frac{4}{49}[/tex]
Step-by-step explanation:
4/7 × 1/7
= 4 × 1/7 × 7
= 4/49
State the interval for which the following function is positive and its intercepts.
Answer:
see explanation
Step-by-step explanation:
the function is positive for values of y above the x- axis
the line goes on forever on the left side and terminates at x = 15 on the right side.
the interval where the function is positive is (- ∞, 15 ]
the x- intercept is where the line crosses the x- axis ( y = 0 )
x- intercept = 15
the y- intercept is where the line crosses the y- axis (x = 0 )
y- intercept = 3
1. 48/8 + 44/8 = ?
2. 10/10 + 30/10 = ?
3. 6/4 + 2/3 = ?
4. 1/8 + 2/16 = ?
5. 4/4 + 14/16 = ?
6. 4/3 + 2/9 = ?
7. 2/4 + 4/8 = ?
8. 20/5 + 15/5 = ?
9. 2/4 + 4/6 = ?
10. 4/7 + 6/21 = ?
11. 4/2 + 16/18 = ?
i rlly need the answers rn bcs i have to pass it tom
Step-by-step explanation:
1. [tex] \frac{48}{8} +\frac{44}{8}= 11 \frac{1}{2} [/tex]
[tex]2.\frac{10}{10} + \frac{30}{10} = 4[/tex]
[tex]3.\frac{6}{4} + \frac{2}{3} = 2 \frac{1}{6}[/tex]
[tex]4.\frac{1}{8} + \frac{2}{16} = \frac{1}{4}[/tex]
[tex]5.\frac{4}{4} + \frac{14}{16} = 1 \frac{7}{8}[/tex]
[tex]6.\frac{4}{3} + \frac{2}{9} = 1 \frac{5}{9}[/tex]
[tex]7.\frac{2}{4} + \frac{4}{8} = 1[/tex]
[tex]8.\frac{20}{5} + \frac{15}{5} = 7[/tex]
[tex]9.\frac{2}{4} + \frac{4}{6} = 1 \frac{1}{6}[/tex]
[tex]10.\frac{4}{7} + \frac{6}{21} = \frac{6}{7}[/tex]
[tex]11.\frac{4}{2} + \frac{16}{18} = 2 \frac{8}{9}[/tex]
mary robertson sells tires at a large car service center she earns 10 commission on the first $1000 15 on the next $2000 and 20 on sales of more than $3000 last
Her total commission was $560.
As 10% of the first $1,000, 15% of the next $2,000, and 20% of sales beyond $3,000 are commissions that she receives. She sold $3,400 worth of tires last week.
What does "total commission" mean?
The commission serves as a benefit or an inducement for the worker to close agreements so that the business can increase revenue and profits. The total commission is calculated by multiplying the total sales by the commission percentage.
After dividing the outcome by 100, multiply the sale price by the commission percentage. Perform the subsequent calculation: Each blue gadget costs $70. The salesman receives a 14% commission on each sale, or $9.80.
The percentage or fixed payment connected to a specific number of sales is referred to as a "commission rate." A commission, for instance, can be $30 or 6% of sales.
It is therefore $560.
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what is the slope of a line that passes through the points open parentheses 6 comma 1 close parentheses and open parentheses short dash 3 comma 4 close parentheses?
Answer:
-1/3
Step-by-step explanation:
So we need to find the slope of a line that passes through (6, 1) and (-3, 4).
We know that the line passes through 2 points, and using this information, we can find the slope of this line using our slope formula which is [tex]\frac{y1-y2}{x1-x2}[/tex].
So we can do [tex]\frac{4-1}{-3-6}=-\frac{1}{3}[/tex].
That's your answer.
Let me know if you have any questions
Find the measure of ∠b ?
Answer:
Below
Step-by-step explanation:
b = 180 - 81° (because of the Z angle law)
b = 99°
Answer:
Step-by-step explanation:
by inspection it is given that b and 81° are inside the parallel angles...they are sorted such that now we know they are co-inter.. anglesb+81°=180 since co-inter... angles are supplementaryb=180°-81°∴b=99°