Answer:
-951
Step-by-step explanation:
an=a1+(n−1)d
\begin{gathered}29 = a_1 + (1-1)d\\29 = a_1\\9 = 29 + (2-1)d\\9 = 29 + d\\d = -20\\a_n = 29 -20 (n-1)\\a_n = 29 - 20n+20\\a_n = -20n + 49\\\\a_51 = -20(51) + 49 = -951\end{gathered}29=a1+(1−1)d29=a19=29+(2−1)d9=29+dd=−20an=29−20(n−1)an=29−20n+20an=−20n+49a51=−20(51)+49=−951
The 51st term of the arithmetic sequence 29,9,-11 is -971 or a(51) = -971.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
It is given that:
The sequence is:
29, 9, -11
The above sequence represents an arithmetic sequence:
The common difference d = 9 - 29
d = -20
The first term a = 29
Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity, approaching either infinity or -infinity.
The nth term of the AP:
a(n) = a + (n-1)d
a(n) = 29 + (n - 1)[-20]
a(n) = 29 -20n +20
a(n) = 29 -20n +20
a(n) = 49 - 20n
Plug n = 51
a(51) = 49 - 20(51)
a(51) = -971
Thus, the 51st term of the arithmetic sequence 29,9,-11 is -971 or a(51) = -971.
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Find the volume of a region bounded by the functions y = 2x + 6, the y-axis, and the x-axis as it revolves
around the x-axis.
GRAPH !
V=
units3
(round to the nearest tenth)
The bounded region in question is a triangle in the second quadrant. The line y = 2x + 6 has intercepts (0, 6) and (-3, 0), so revolving the triangle about the x-axis forms a cone with height 3 and whose circular base has radius 6. Its volume would then π/3 • 6² • 3 = 36π ≈ 113.1 units³.
But you're probably supposed to use calculus. Using the disk method, the integral for the volume is
[tex]\displaystyle V=\pi\int_{-3}^0 (2x+6)^2\,\mathrm dx[/tex]
[tex]\displaystyle V=\pi\int_{-3}^0(4x^2+24x+36)\,\mathrm dx[/tex]
[tex]V=\pi\left(\dfrac43x^3+12x^2+36x\right)\bigg|_{-3}^0=\boxed{36\pi}[/tex]
as expected.
Find the slope between the two points.
(4, 2) and (3, 8)
Plz help ASAP
Answer: -6
Step-by-step explanation: 8-2= 6 and 3-4= -1. So 6/-1 is -6
Find the value of 3(ab)^2 if a=2 and b=-1
Answer:
12
Step-by-step explanation:
3 (2*-1)^2
3*-2^2
3*4
12
PLZ ANSWER IF U KNOW THE ANSWER
Answer: its b
Step-by-step explanation:
Answer:
B.
Step-by-step explanation:
What is an equation of the line that passes through the point (-1,-7) and is perpendicular to the line x+y=6x
Rhoda and James both sell laptops and earn commission based on the number of laptops sold. In one month, Rhoda
earns $2000 in commission for selling 10 laptops and has a base salary of $600. The money James earns for selling
laptops in the same month is shown in the graph below.
Answer: James earns $50 more in commission than Rhoda for each laptop sold.
Step-by-step explanation:hope it helps
James earned $50 more than Rhoda.
What is Data?A collection of information obtained through measurements, study, observations, or analysis is referred to as data. Facts, numbers, names, figures, or even descriptions of things may be included. In the form of graphs, charts, or tables, data is arranged.
Basic facts and entities like names and numbers are referred to as data. Weights, costs, sales volume, employee names, product names, addresses, tax identification numbers, and registration marks are just a few types of data.
Given:
In one month, Rhoda earns $2000 in commission for selling 10 laptops.
For, one laptop = 2000/10
= 200
Now, as from the graph
In one month, James earns $2500 in commission for selling 10 laptops.
For, one laptop = 2500/10
= 250
So, James earned $50 more than Rhoda.
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Bank teller has 500 bills totalling $8100.00. How many tens and twentys does she have
Answer:
$20 bills = 310, $10 bills = 190
Step-by-step explanation:
To solve this problem, we must make a system of equations
Let x = the number of $20 dollar bills and let y = the number of $10 dollar bills
A $20 bill is 20 dollars and a $10 dollar bill is 10 dollars. The money added together will equal $8100, so an equation for this would be:
20x + 10y = 8100
The number of 20 dollar bills and 10 dollar bills added together will be 500 bills, so that equation would be:
x + y = 500
Now we have our system of equation! To solve this, we will use substitution.
If x + y = 500, then x = 500 - y.
We can substitute this into x in the first equation.
20x + 10y = 8100 will become:
20(500 - y) + 10y = 8100
10000 - 20y + 10y = 8100
10000 - 10y = 8100
We can add 10y to both sides and subtract 8100 from both sides
1900 = 10y
Now divide both sides by 10.
190 = y
There are 190 10 dollar bills.
Plugging this value into the equation, we have:
x + y = 500
x + 190 = 500
Subtract 190 from both sides
x = 310
There are 310 20 dollar bills
What is the x -coordinate of the x-intercept of the function 2/3y=−6x+12?
Answer:
y=9x+18
Step-by-step explanation:
to get 9, use the rise over run way. Using that, I got 9/1, which is equivalent to 9. Then you MUST add x after, so then you get 9x. The last number is always the y intercept, or where the line meets the vertical line. That was 18.
Hope I helped :)
Can someone pls help
Answer: Graph A and Graph C hope this helps
Step-by-step explanation:
Answer:
A and C
Step-by-step explanation:
They both pass though the origin.
39.4 x 1.7 I don’t how workout this out
Answer:the answer is 66.98
Step-by-step explanation:
Consider the distance formula d=16t^2 where d is the distance in feet that an object travels and t is the time in seconds that it travels. How long does it take an object to travel 624 feet?
best answer gets brainliest,
Answer:
The Formula D 16t 2
The formula s=16t^2 is used to approximate the distance s, in feet, that an object falls freely from the rest in t seconds. The height of a building is. The formula s=16t^2 is used to approximate the distance s, in feet, that an object falls freely from the rest in t seconds.
Step-by-step explanation:
Which system of linear inequalities is represented by
the graph?
Answer:
you forgot to put the image for the graph
Please Help These Are All My Points.
What is one way to find the total cost of a pair of shoes for $57 with a sales tax of 2%?
Answer:
maybe use a calculator
Step-by-step explanation:
you can put in 57 and then divide it by 2%
Answer:
one way is to multply 57$ by 2% then you well find the tax
Step-by-step explanation:
it's actally a good stragey
Write the equation of the line, in slope-intercept form, that passes through the point (-2, -1) and has slope 5.
Tim
Atte
1N
Identify the linear function with a slope of -2 and a y-intercept of 1?
a. - 2y = x +1
b. y=-2x
c. y = x-2
d. y=-2x+1
it's d just put them together to equal y
Need help Pronto! Will give braintliest.
Answer:
2
Step-by-step explanation:
I did my work here, and can u pls answer my recent question
A survey showed that 70% of adults need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. If 7 adults are randomly selected, find the probability that exactly 2 of them need correction for their eyesight.
Answer:
0.0250047
Step-by-step explanation:
Given that :
Proportion who need correction glasses = 70%
Number of trials = 7
Probability that exactly 2 needs correction glasses :
Using a binomial probability formula :
P(success) = p = proportion who need glasses = 0.7
P(x =x) = nCr * p^x * (1 - p)^(n - x)
P(x = 2) = 7C2 * 0.7^2 * 0.3^(7 - 2)
P(x = 2) = 7C2 * 0.7^2 * 0.3^5
P(x = 2) = 21 * 0.49 * 0.00243
P(x = 2) = 0.0250047
Which statement(s) most directly apply to capitalism?
1. There is heavy government regulation of industry.
II. Individuals can start some, but not all, kinds of enterprises.
III. The price and availability of goods is determined primarily by the market.
a. I and II
b. ll only
c. I and III
d. Ill only
Answer:
The answer is D, lll only.
Step-by-step explanation:
Just took the test on e d g e!
The statement that most directly applies to capitalism is III only.
Option D is the correct answer.
What is capitalism?It is a system of the economy where means of production and distribution are owned by the private, not the government.
We have,
The economic system of capitalism is characterized by private ownership of the means of production and distribution of goods and services, as well as the profit motive as the driving force behind economic activity.
Based on this definition, statement III most directly applies to capitalism, as it highlights the central role of market forces in determining prices and availability of goods.
On the other hand,
Statement I, which suggests heavy government regulation of the industry, is not a typical feature of capitalism, as it implies a more interventionist approach by the government in the economy.
Capitalism generally favors a more limited role for the government in economic affairs, although some government regulations may still be present.
Statement II, which suggests that individuals can start some, but not all, kinds of enterprises, is also not a defining characteristic of capitalism.
In a capitalist system, individuals are generally free to start any kind of enterprise that they wish, provided they can obtain the necessary resources and meet any legal or regulatory requirements.
Therefore,
The statement that most directly applies to capitalism is III only.
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find the distance between (9,3) and (5,-3) in simplest radical form
Answer:
[tex]d = 2\sqrt{13}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (9, 3)
Point (5, -3)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d.
Substitute [DF]: [tex]d = \sqrt{(5-9)^2+(-3-3)^2}[/tex]Subtract: [tex]d = \sqrt{(-4)^2+(-6)^2}[/tex]Exponents: [tex]d = \sqrt{16+36}[/tex]Add: [tex]d = \sqrt{52}[/tex]Simplify: [tex]d = 2\sqrt{13}[/tex]A proportional relationship is graphed on the coordinate plane. The line that represents the relationship passes through points (0,0) and (5,10). What is the unit rate of the proportional relationship?
Answer:
Step-by-step explanation:
HELLPPPP
what is 7%o of 14.68
Answer:
1.03
Step-by-step explanation:
i multiplied 14.68×.07
hope this is correct and helps
Answer:
1.03
Have a good day! :)
Will mark the brainliest
Answer:
C.
X = -5
Step-by-step explanation:
Find - square root 49
+7
7
-7
24.5
Easy points please put answer
Answer:
7?
Step-by-step explanation:
Tim predicts he will get 98 points on the next exam. If Tim actually earned 62 points, what was Tim's percent error?
Answer:
If Tim actually earned 62 points . Therefore Tim's percent error is 58.1 % .
Step-by-step explanation:
Fill in the blank to solve the expression!
-(-8) = ____
Answer:
The answer is 8
Step-by-step explanation:
Multiply -1 by -8
3 regular pizzas and 2 small pizzas cost $31.
9 regular pizzas and 8 small pizzas cost $103.
What's the cost of 1 regular pizza?
What's the cost of 1 small pizza?
first of all, lets set up the equation
3x + 2y = 31
9x + 8y = 103
+--------------------
now make them equal
12x + 8y = 124
9x + 8y = 103
+----------------------
x=7
y=5
What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-2, 4)?
O y=-5/2x-1
O y=-5/2x+5
O y=2/5x-1
O y=2/5x+5
In a certain chemical, the ratio of zinc to copper is 4 to 19. A jar of the chemical contains 760 grams of copper. How many grams of zinc does it contain?
1) 760 grams
2) 3,610
3) 30,400
4) 190 or 160 grams
Fill in the blank in this equation y=7x-5; (2,__)
Answer:9
Step-by-step explanation:
If X is 2, then plug it in to get 2x7-5= 9
Y is 9
