The value of the 0 term is 32.The recursive rule is:now=previous term +10Find the 20th term.
Answers
Let's begin by listing out the information given to us:
0 term = 32
The recursive rule is given by:
\(\begin{gathered} x_n=x_{n-1}+10 \\ x_1=32 \\ x_2=x_1+10\Rightarrow32+10=42 \\ x_3=x_2+10\Rightarrow42+10=52 \\ x_n=32+10(n-1) \\ n=20 \\ x_{20}=32+10(20-1)\Rightarrow32+10(19) \\ x_{20}=32+190=222 \\ x_{20}=222 \end{gathered}\)Related Questions
3. Determine if the equation represents y as a function of x.
9x + 3y = 12
Answers
Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of y plus StartFraction one-half EndFraction equals 3 left-parenthesis x minus 2 right-parenthesis.?
y + 2 =y plus 2 equals StartFraction one-third EndFraction left-parenthesis x plus 3 right-parenthesis.(x + 3)
y – 2 = y minus 2 equals StartFraction one-third EndFraction left-parenthesis x minus 3 right-parenthesis.(x – 3)
y + 3 = y plus 3 equals StartFraction one-third EndFraction left-parenthesis x plus 2 right-parenthesis.(x + 2)
y – 3 = y plus StartFraction one-half EndFraction equals 2 left-parenthesis x minus 3 right-parenthesis.(x – 2)
Answers
The equation that shows the point-slope form of the line passing through (3, 2) with a slope of (1/2) is:
y - 2 = (1/2)(x - 3)
In the point-slope form of a linear equation, the formula is y - y1 = m(x - x1), where (x1, y1) represents a point on the line, and m represents the slope of the line. By substituting the given values into the formula, we can determine the correct equation.
In this case, the given point is (3, 2) and the slope is (1/2). Plugging these values into the formula, we get:
y - 2 = (1/2)(x - 3)
This equation represents the line passing through the point (3, 2) with a slope of (1/2). It is in the point-slope form, which allows us to easily determine the equation of a line based on a given point and slope.
Therefore, the correct equation is y - 2 = (1/2)(x - 3).
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Answer: B
Step-by-step explanation:
If 64=16tsquared what is t
Answers
Answer:
t= 2
Explanation:
\( 64 = 16{t}^{2} \)
\( \frac{64}{16} = \frac{16 {t}^{2} }{16} \)
\(4 = {t}^{2} \)
\(t = \sqrt{4} \\ t = 2\)
What number comes next in the sequence?
1, 1, 2, 3, 5, 8, 13, 21, 34, ?
Answers
Answer:
55
Step-by-step explanation:
1+1 = 2
1+2 = 3
2+3 = 5
3+5 = 8
5+8 = 13
8+13 = 21
13+21 = 34
21 +34 = 55
PLEASE GIVE BRAINLIEST
You win $7,500 at month 40. Can you fully pay off either car? Explain.
Answers
in order to figure out if we can pay the car, we need to know how much it costs.
Step-by-step explanation:
There needs to be more explanation for people to help you, maybe tou can send a picture so someone can help you.
A bus starts from rest and accelerates uniformly at 3m/s for 5 secs ? after which the acceleration is reduced to 2ms 2 after 3s. The velocity is maintained for 10s and finally brought to rest for after 8s
Answers
Answer:
76 and the core of our business mam 7AM 777777 is a process in 4
What is the probability that Thursday is the day after Wednesday?
Answers
The probability that Thursday is the day after Wednesday is 1, or 100%.
What is probability?
Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event.
The probability that Thursday is the day after Wednesday is 1, or 100%.
This is because Thursday always comes after Wednesday in a standard calendar week, and there are no other days that can come between them. Therefore, the probability of Thursday being the day after Wednesday is certain.
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please help!! will make branliest!!
Answers
Write the formula for the circumference of a circle
Answers
Answer:
multiply the diameter of the circle with π (
Step-by-step explanation:
In a direct variation, y=9 when x=3. Write a direct variation equation that shows the relationship between x and y.
Answers
In a direct variation, y=9 when x=3. A direct variation equation that shows the relationship between x and y is y=3x
What do you mean by direct variation?
Direct variation is a type of proportionality when one quantity changes right away in reaction to a change in another variable. This implies that if one number rises, the other will follow suit in a comparable manner. Similar to the last illustration, if one quantity decreases, the other quantity also decreases. Direct variation will have a linear relationship with the graph, resulting in a straight line.
Given,
In a direct variation, y=9 when x=3.
Formulate an equation based on the conditions stated: y=kx
We put the value of the y and x in this equation
9=k*3
Subtract the coefficient of the variable from both sides of the equation
k= 3
We can write the equation of the function by putting the value of k: y=3x
Hence the correct answer is y=3x
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help with this question please !
Answers
Answer:
angle 8 is congruent to angles 3, 6, and 1
Step-by-step explanation:
If n and q are parallel then corresponding and vertical angles would be congruent. So: angle 8 is congruent to angles 3, 6, and 1.
se marco ha 3 mele giulia ne ruba 2 quante mele ha marco?
Answers
Answer:
1
Step-by-step explanation:
Answer:
tendrías 1 manzana
Step-by-step explanation:
This means you have one apple left
You buy a car for $8000 that depreciates at a rate of 11% a year. How much is the car worth after 5 years? Round to the nearest cent.
Answers
Step 1
Write all parameters out.
Initial cost P = $8000
% Depreciation r = 11% = 11/100 = 0.11
Time t = 5 years
Cost after 5 years = A
Step 2
Apply exponential decrease formula to find the worth of the car after 5 years
\(\begin{gathered} A=P(1-r)^t \\ A=8000(1-0.11)^5 \\ A=8000(0.89)^5 \\ A\text{ = 8000 }\times\text{ 0.5584} \\ A\text{ = 4467.25} \\ A\text{ = 4467} \end{gathered}\)Therefore,
The worth of the car after 5 years = $4467
trouve trois nombres entiers consécutifs dont la somme vaut 513
Answers
Answer:
170, 171, 172
Step-by-step explanation:
x + x + 1 + x + 2 = 513
3x + 3 = 513
3x = 510
x = 170
x + 1 = 171
x + 2 = 172
PLEASE HELP WILL GIVE BRAINLIEST
Explain and demonstrate the multiplication of complex conjugates using 2+3i and its complex conjugate. Be sure to discuss all steps of the process, including the solution and to which number set it belongs.
Answers
Answer:
I will be five because 2+3=5 please mark me brainleat
If you get it right I will give a brainlist
Answers
Answer:
Flour 5, 10, 15, 20
Sugar 4, 8, 12, 16
Step-by-step explanation:
Answer:
Flour (cups): 5 10 15 20
Sugar (cups): 4 8 12 16
You need 16 cups of sugar
URGENt! PLS HELP. DONT USE LINKS OR JOKE. SEND REAL ANSWER. ITS VOLUME.
Answers
Answer:
334
Step-by-step explanation:
Which term of the sequence 1/4;-1;-21/4;...is equal to -131/2
Answers
11, - 6, -1, 4, 9, 14, 19, ... are mapped onto 4. ... A;-l = (-ltQn (mod N),. (A5.34) ... 131 2, 14, 34, 38, 42, 78, 90, 178, 778, 974(1000).
Step-by-step explanation:
the nearest .1/2 incp, we say the 'unit 131/2 incl. 1.4 a measUrement is-stated tp- be 546 inch, this UM= the
Find area and perimeter
Of 80.1 m 17.5 m 6.9m 13.5 m
Answers
The area and perimeter of the dimensions are:
Object a) Area = 1,401.75 m² and Perimeter = 195.2 m
Object b) Area = 93.15 m² and Perimeter = 40.8 m
What are the area and perimeter?The area refers to the product of the length and width of a two-dimensional object.
On the other hand, the perimeter is the total distance of a two-dimensional object.
Dimensions of Object a):
Length = 80.1 m
Width = 17.5 m
Area = Length x Width
= 1,401.75 m² (80.1 x 17.5)
Perimeter = 2(Length + Width)
= 2(80.1 + 17.5)
= 195.2 m
Dimensions of Object b):
Length = 13.5 m
Width = 6.9 m
Area = Length x Width
= 93.15 m² (13.5 x 6.9)
Perimeter = 2(Length + Width)
= 2(13.5 + 6.9)
= 40.8 m
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Complete Question:Find the area and perimeter of object a) 80.1 m and 17.5 m and object b) 6.9m and 13.5 m.
A new car is bought for $100,000. If the annual depreciation is 10%, find the value of the car after 3 years.
Remaining Amount = 100,000(1 -0.1)3
Answers
The value of the car after 3 years is $79, 000
How to determine the valueTo determine the value, we have to use the formula;
Value = Initial value × (1 - Depreciation rate)ⁿ
Substitute the values given, we get;
Remaining value after 3 years = $100,000 × (1 - 0.10)³
Expand the bracket, we get;
Value after 3 years = $100,000 × (0.90)³
Find the cube value and substitute, we have;
Value after 3 years = $100,000 × 0.729
Multiply the values, we have;
Value after 3 years = $72,900
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Evaluate the following question given below
Answers
The solution is, simplification of the expression is; 71.19.
Here, we have,
the given expression is:
(5/2)^4/2 * (3/2)^6
=(5/2)^2 * (3/2)^6
as we know that, 4/2 = 2.
now, we have,
(5/2)^2 * (3/2)^6
=5²/2² ^ 3⁶/2⁶
= 5² * 3⁶ / 2² * 2⁶
=5² * 3⁶ / 2 ^ (2+6)
=5² * 3⁶ / 2 ^8
=25 * 729/ 256
=18225/ 256
=71.19
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A triangle has vertices at { 2,-2). (-2,5), and {-4. - 51. The triangle is translated 2 units to the right and rotated the coordinates of its image? 5. Diaw the orientation of the figure below
Answers
Answer:
A. (-4, -2)
B. (0,5)
C. (2,-5)
Step by step explanation:
A (2,-2)
B (-2,5)
C (-4,-5)
Translate 2 units to the right = x + 2
A (2+2 , -2) = (4 , -2)
B (-2+2 , 5) = (0,5)
C (-4+2,-5) = (-2,-5)
Rotate 90 degrees clockwise
\(A\text{ ( 4,-2) }\)= (-4, -2)
\(B(0,5)\)= (0,5)
\(C(-2,-5)\)= (2,-5)
you have 51 coins in your pocket, all dimes and quarters. You have $10.20. How many dimes and quarters do you have?
Answers
To find the number of dimes and quarters, you have 17 dimes and 34 quarters in your pocket , when there are 51 coins in your pocket.
To solve this problem, we can set up a system of equations using the given information. Let's use "d" to represent the number of dimes and "q" to represent the number of quarters.
We know that there are 51 coins in total, so we can write the equation: d + q = 51.
We also know that the total value of the coins is $10.20, which can be expressed as 10d + 25q (since dimes are worth 10 cents and quarters are worth 25 cents). So our second equation is: 10d + 25q = 1020.
To solve this system of equations, we can use substitution or elimination. Let's use substitution:
Rearrange the first equation to solve for d: d = 51 - q.
Substitute this expression for d in the second equation: 10(51 - q) + 25q = 1020.
Simplify and solve for q: 510 - 10q + 25q = 1020.
Combine like terms: 15q = 510.
Divide both sides by 15: q = 34.
Now substitute this value back into the first equation to solve for d: d + 34 = 51.
Subtract 34 from both sides: d = 17.
Therefore, you have 17 dimes and 34 quarters.
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Given g(x) = -x - 2, find g(3).
Answers
Answer:
g(3) = -5
Step-by-step explanation:
g(3) is basically the value of g(x) when x = 3. Therefore, g(3) = -3 - 2 = -5.
Answer:
\( \boxed{\sf g(3) = -5} \)
Given:
g(x) = -x - 2
To Find:
g(3) i.e. g(x) where x = 3
Step-by-step explanation:
\(\sf Evaluate \ -x - 2 \ where \ x = 3:\)
\( \sf \implies - x - 2 = - 3 - 2\)
\( \sf - 3 - 2 = - (3 + 2) : \)
\( \sf \implies - (3 + 2)\)
\( \sf 3 + 2 = 5 : \)
\( \sf \implies - 5\)
Do not put any punctuation (other than a necessary decimal place) or spaces into your answer.
When Claudia borrowed $6400 at 11% compounded semiannually for three years, the value of the rate per period was
Answers
Caludia needs to pay 2917.6128 as a payment of compound interest capital+interest.
What is compound interest?
compound interest is interest on principal + interest and this denotes to the addition of interest to the principal amount of a loan or deposit.
Capital(p) = $6400
Rate of interest(r) = 11%
Years(n) = 3
The general formula of compound interest is \(A= p(1+\frac{r}{100}})^n\).
Now
\(A= 6400(1+\frac{11}{100}})^3\\A=6400 \times \frac{111}{100} \times \frac{111}{100} \times \frac{111}{100}\\A= 8752.8384\)
The entire amount (Capital+interest) is equal to $8752.8384.
If we take 1 year as a period then Claudia needs to pay \(\frac{8752.8384}{3}\\=2917.6128\)
Therefore, Claudia needs to pay 2917.6128 as a payment of compound interest capital+interest.
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The invitations to a holiday party cost a total of $31.50 if each invitation cost $0.75 cents how many invitations were sent out
Answers
Answer:
42
Step-by-step explanation:
divide the total by the cost of each invite
for questions that require a numerical answer, you may be told to round your answer to a specified number of decimal places or you may be asked to provide an exact answer. when asked to provide an exact answer, you should enter repeating decimals in their fraction form and irrational numbers such as e^5, ln(4), or V2 in their symbolic form. consider the function f(x)= e^x +1/3x a. Find f(5), Give an exact answer b. Find f(11), Give your answer rounded to 3 decimal places
Answers
The value of f(5) is e^5 + 5/3, which is exactly 150.0798257693, and the value of f(11) is e^11 + 11/3, which is approximately 59877.808.
The function is f(x)= e^x + 1/3x
To find the value of f(5), put the value of x = 5 in the function f(x)= e^x + 1/3x. Which is equal to f(5) = e^5 + 5/3.
Similarly, to find the value of f(11), put the value of x = 11 in the function f(x)= e^x + 1/3x.
Which is equal to f(11) = e^11 + 11/3
f(11) = 59874.141715198 + 3.6666666667
f(11) = 59877.808381865
f(11) ≈ 59877.808
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Suppose we have a random sample of size n = 5 from a continuous uniform distribution on the interval [0, 1]. Find the probability that the third largest observation in the
sample is less than 0.7.
Answers
The probability that the third largest observation in the sample is less than 0.7 is 0.2401 = 24.01%.
How do we calculate?The sample size n = 5,
Therefore the order statistics will be represented as X₁, X₂, X₃, X₄, and X₅.
Probability that X₃ is less than 0.7:
Since X₃ is the third largest observation = (X₁ and X₂) < 0.7.
The probability that X₃ is less than 0.7 is (0.7)² = 0.49.
The Probability that X₁ and X₂ < or equal to 0.7 is found as:.
The probability that both X₁ and X₂ are less than or equal to 0.7 is (0.7)² = 0.49 because in a continuous uniform distribution, the probability of any single observation being less than 0.7 is 0.7 - 0 = 0.7.
We then get the product of both cases:
Probability = 0.49 * 0.49 = 0.2401
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there were 7 pizzas. 5 people ate all of the pizzas, each person ate an equal amount of pizza. how much pizza did each person eat
Answers
Answer:
1 2/5 pizza each
Step-by-step explanation:
I think this is QUITE obvious but
you divide 7 by 5 because its an equal amount per person which gives you 7/5 = 1 2/5
Answer:
1.4 of the pizza or \(1\frac{2}{5}\) of the pizza
Step-by-step explanation:
Do 7 ÷ 5 (7 pizzas divided among 5 people)
Each person ate 1.4 or \(1\frac{2}{5}\) pizza
help me plzzzzzzzzzzzz
Answers
Answer: -74.19
Step-by-step explanation: If you have negative number the biggest amount would be the least So -74.19