A sequence begins with-3. Each term is calculated by multiplying the previous term by -4, then subtracting 1.
Which option correctly represents the sequence described?
A -3, 11, -45, 179, ...
B {-3, -13, -53, -213, ...}
C. {-3, 11, -45, 179, ...}
D -3, -13, -53, -213,...
Answers
Answer:
C
Step-by-step explanation:
\(a_{1}=-3\\a_{2}=(-3)(-4)-1=12-1=11\\a_{3}=11(-4)-1=-44-1=-45\\a_{4}=-45(-4)-1=180-1=179\\................................................\\\)
Answer: Choice A) -3, 11, -45, 179, ...
=====================================================
Explanation:
1st term = -3
new term = -4*(previous term) - 1
2nd term = -4*(1st term) - 1
2nd term = -4*(-3) - 1
2nd term = 12 - 1
2nd term = 11
The answer is between choice A and C since both involve "-3, 11" as the first two terms in that order. The only difference between A and C are the outer surrounding curly braces. These braces tell the reader that we have a set of numbers.
When it comes to a set, the order does not matter. Something like {1,2,3} is identical to {3,2,1}. Because of this, we rule out choice C.
On the other hand, order does matter in a sequence. The sequence 1,2,3 is different from 3,2,1.
Related Questions
HELP PLEASE ILL CHOOSE BRAINLISEST
Answers
Answer:
2: option 4; 10: option 4; 9: option 4; 6: option 1
Step-by-step explanation:
for 2, the angle of S is equal to Q
for 10, take 180, and subtract all the other numbers to find the last one
for 9, its 4 because the segments are a
A to B, A to C, and B to D
for 6, its 1 because TU is perpendicular (crosses) MN, and MN is perpendicular (will never cross) to PQ
The number of employees working for Sprockets R Us in 2005 was 8110, with an expected decrease of 0.5% per year. At the rate of decrease given, what is the expected number of employees working at Sprockets R Us in 2006? Round your answer to the nearest integer.
Answers
The expected number of employees working at Sprockets R Us in 2006 will be 8069.45.
What are percentages?The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.
Given that:-
The number of employees working for Sprockets R Us in 2005 was 8110, with an expected decrease of 0.5% per year. At the rate of decrease given, what is the expected number of employees working at Sprockets R Us in 2006?
The number of the employees in 2006 will be calculated as:-
Number of employees decreased = 0.5% x 8110
Number of employees decreased = (0.5/100) x 8110
Number of employees decreased = 40.55
The number of the employees in 2006 will be
N = 8110 - 40.55 = 8069.45
Therefore the expected number of employees working at Sprockets R Us in 2006 will be 8069.45.
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Gold leaf can be bought in 8cm square sheets.
There are 25 sheets in one booklet.
Work out the total area that can be covered using one booklet of gold leaf.
Answers
Step-by-step explanation:
El pan de oro se puede comprar en hojas cuadradas de 8 cm.
Hay 25 hojas en un folleto.
Calcule el área total que se puede cubrir con un cuadernillo de pan de oro
Help me solve please y-9 terms,variables, coefficient s,constants
Answers
The terms in given expression like variables, coefficient, constant are respectively, y, 1, -9
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.
For example, 2x+3
Given that,
An expression,
⇒ y-9
In given expression, y is term which is variable
And coefficient of y is 1
constant term is -9
Therefore, we can write our terms are, y, 1, -9
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Suppose these data show the number of gallons of gasoline sold by a gasoline distributor in Bennington, Vermont, over the past 12 weeks.
Week Sales (1,000s of gallons)
1 17
2 22
3 20
4 24
5 18
6 17
7 21
8 19
9 23
10 21
11 16
12 23
(a) Using a weight of
1
2
for the most recent observation,
1
3
for the second most recent observation, and
1
6
for third most recent observation, compute a three-week weighted moving average for the time series. (Round your answers to two decimal places.)
Compute four-week and five-week moving averages for the time series.
Week Time Series Moving
Value Average Forecast
1 17
2 22
3 20
4 24
5 18
6 17
7 21
8 19
9 23
10 21
11 16
12 23
(b) Compute the MSE for the four-week moving average forecasts. (Round your answer to two decimal places.)
Compute the MSE for the five-week moving average forecasts. (Round your answer to two decimal places.)
(c) What appears to be the best number of weeks of past data (three, four, or five) to use in the moving average computation? MSE for the three-week moving average is 11.12.
Answers
Answer:
Use suitable identity to find the product (3-2x)(3+2x).Find the remainder when x³+ 3x²+3x+1 is divided by x+1.On a plane surface we can find straight lines.8√15 + 2√3The decimal form of 36 100(a-b)³ = a ³- ........ 3 + 3ab²-b³In the Cartesian plane the horizontal line is called .........The coefficient of x² in 2-x²+ x³ is -1.√225 is an irrational number.The coordinates of a point on x-axis is (y, 0).The coordinates of a point on x-axis is (y, 0).The coordinates of a point on x-axis is (y, 0).The coordinates of a point on x-axis is (y, 0).
explain 3 factors that should be considered in the construction of index numbers
Answers
1. selection of index number: during the construction of index number it is to be kept in mind that the selection of the index number should be correct accordingly.
2. selection of formula: while the construction of index numbers it is compulsory to select the correct formula for the given question.
3. selection of price: selection of prices should be done accordingly while constructing the index numbers.`
construction of index number is also available in two parts:
1. simple
2. weighted
1. simple: the simple method is classified into simple aggregative and simple relative.
2. weighted: the weighted method is classified into a weighted aggregative and weighted average.
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What is 3 4/15 / (8 x 6 3/10)? Help me by showing work
Answers
Answer: 1/18
Step-by-step explanation:
3 4/15 / (8 x 6 3/10) reduce the numbers
4/5 / (4 x 6 x 3/5 ) calculate the product
4/5 / 72/5 reciprocal
4/5 x 5/72 reduce the numbers again
1/5 x 5/18 reduce them
= 1/18
Find a . the mean ; b . the deviation from the mean for each data item ; and c . the sum of the deviations in part ( b ) for the following group of data items . 155 , 156 , 162 , 164 , 168
Answers
(a) The mean of the data item from the group data is 161.
(b) The deviation from the mean for each data is -6,-5,1,3 and 7. respectively.
(c) The sum of the deviation is 0
What is a group data?Grouped data are data formed by aggregating individual observations of a variable into groups, so that a frequency distribution of these groups serves as a convenient means of summarizing or analyzing the data.
(a) To find the mean of the data, we use the formula below.
Formula:
M = ∑x/n.......... Equation 1Where:
M = Mean = ?∑x = Sum of each data = 155+156+162+164+168 = 805n = Total number of data item = 5Substitute these values into equation 1
M = 805/5M = 161(b) To calculate the deviation from the mean (M') for each of the data item we use the formula below.
M' = x-M
For data 115,
M' = 155-161 = -6For data 156,
M' = -5For data 162,
M' = 162-161 = 1For data 164,
M' = 164-161M' = 3For data 168,
M' = 168-161M' = 7(c) The sum of the deviation is
∑M' = -6+(-5)+1+3+7∑M' = 0Hence, the mean, the diaviation from the mean is -6,-5,1,3 and 7 and the sum of the deviation of the data is 161 and 0 respectively,
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The highway fuel economy of a 2016 Lexus RX 350 FWD 6-cylinder 3.5-L automatic 5-speed using premium fuel is a normally distributed random variable with a mean of μ = 26.50 mpg and a standard deviation of σ = 3.25 mpg.
(a) What is the standard error of X¯¯¯
, the mean from a random sample of 25 fill-ups by one driver? (Round your answer to 4 decimal places.)
Answers
The standard error represents the average deviation of the sample means from the true population mean. Rounding this value to four decimal places, the standard error of X¯¯¯ is approximtely 0.6500 mpg.
A smaller standard error indicates that the sample means are more likely to be close to the population mean.To calculate the standard error of X¯¯¯, the mean from a random sample of 25 fill-ups by one driver, we can use the formula:
Standard Error (SE) = σ / sqrt(n),
where σ is the standard deviation and n is the sample size.
In this case, the standard deviation (σ) is given as 3.25 mpg, and the sample size (n) is 25.
Plugging in these values into the formula, we have:
SE = 3.25 / sqrt(25).
Calculating the square root of 25, we get:
SE = 3.25 / 5.
Performing the division, we find:
SE ≈ 0.65.
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Test the claim about the difference between two population means
μ1
and
μ2
at the level of significance
α.
Assume the samples are random and independent, and the populations are normally distributed.Claim:
μ1=μ2;
α=0.01
Population statistics:
σ1=3.6,
σ2=1.4
Sample statistics:
x1=18,
n1=27,
x2=20,
n2=26
Determine the alternative hypothesis.
Ha:
μ1
▼
greater than>
greater than or equals≥
less than<
less than or equals≤
not equals≠
μ2
Determine the standardized test statistic.
z=nothing
(Round to two decimal places as needed.)
Determine the P-value.
P-value=nothing
(Round to three decimal places as needed.)
What is the proper decision?
A.Fail to reject
H0.
There is enough evidence at the
1%
level of significance to reject the claim.
B.Reject
H0.
There is enough evidence at the
1%
level of significance to reject the claim.
C.Fail to reject
H0.
There is not enough evidence at the
1%
level of significance to reject the claim.
D.Reject
H0.
There is not enough evidence at the
1%
level of significance to reject the claim
Answers
The correct answer is Option C. The proper decision, in this case, is "Fail to reject H0. There is not enough evidence at the 1% level of significance to reject the claim."
The alternative hypothesis, in this case, is "μ1 ≠ μ2", as the claim being tested is that the two population means are equal.
To calculate the standardized test statistic, we can use the following formula:
z = (x1 - x2) / sqrt(((σ1^2) / n1) + ((σ2^2) / n2))Substituting in the values given in the problem, we get:
z = (18 - 20) / sqrt(((3.6^2) / 27) + ((1.4^2) / 26))
z = (-2) / sqrt((12.96 / 27) + (1.96 / 26))
z = (-2) / sqrt(0.481 + 0.075)
z = (-2) / sqrt(0.556)
z = (-2) / 0.746
z = -2.67
To calculate the P-value, we can use the standard normal table to look up the probability of getting a value of -2.67 or lower if the null hypothesis were true. The P-value in this case would be the probability of getting a value equal to -2.67 or lower, plus the probability of getting a value equal to 2.67 or higher.
Using the standard normal table, we find that the probability of getting a value equal to -2.67 or lower is 0.0039, and the probability of getting a value equal to 2.67 or higher is 0.9961. Therefore, the P-value is 0.0039 + 0.9961 = 1.0000.
Since the P-value is equal to 1.0000, which is greater than the level of significance α = 0.01, we fail to reject the null hypothesis.
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If you are able to answer this I’ll give most Brainly and I need it in about 20 min
Nov
Month June July Aug Sept Oct
Rainfall (in.) 6.14 7.19
8.63
8.38 6.47
2.43
2. The table shows monthly rainfall in inches for
five months. Identify the outlier in the data set.
Determine how the outlier affects the mean,
median, and mode of the data. Then tell which
measure of center best describes the data with
and without the outlier. Round to the nearest
hundredth. Justify your selection.
Answers
okay, first to figure out the IQR of the table you need to organize them from least to greatest.
2.43, 6.14, 6.47, 7.19, 8.38, 8.63
to find the middle number of all of these you add them all together and divide by 6, which is the total amount of numbers there.
2.43 + 6.14 + 6.47 + 7.19 + 8.38 + 8.63 = 39.24
39.24 / 6 = 6.54
now that we have the IQR, next we find the outlier. to find the outlier you multiply the IQR by 1.5 which is 6.54 x 1.5 = 9.81 <- outlier
Outliers affect the mean value of the data but have little effect on the median or mode of a given set of data.
2.43 + 6.14 + 6.47 + 7.19 + 8.38 + 8.63 + 9.81 = 49.05
49.05 / 7 = 7.00 (Rounded)
I tried my best to solve this, sorry if it doesn't help.
what is 13.6 - x = -64.2
Answers
Answer:
13.6 - x = -64.2
Step-by-step explanation:
x = 77.8
13.6 - 77.8 = -64.2 True!
Answer:
x=77.8
Step-by-step explanation:
13.6-x=-64.2
-13.6. -13.6
---------------------
since there is already -x it wouldn't be -77.8 bc that would cancel it out
The nth term of an AP is given by 2n +9 find the first term
Answers
2 3/4 of 500grams in step by step calculator
Answers
Answer:
To calculate 2 3/4 of 500 grams, follow these steps:
1. Convert the mixed number to an improper fraction:
2 3/4 = (2 x 4 + 3)/4 = 11/4
2. Multiply the improper fraction by 500:
11/4 x 500 = (11 x 500)/4 = 2,750/4
3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:
2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2
Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.
Step-by-step explanation:
Find the lateral surface area and total surface area of the following triangular prism.
Answers
The lateral surface area and total surface area of the given triangular prism are 252cm² and 348 cm² respectively.
What is lateral surface?The entirety of an object's sides, excluding its base and top, are referred to as the lateral surface. The size of the lateral surface is referred to as the lateral surface area. The total surface area, which includes the lateral surface area as well as the areas at the base and top, should be distinguished from this.
Total surface area of this prism = 3 × l × b + 2 × h × b
= 3 × 14 × 6 + 2 × 8 × 6
= 348 cm²
And lateral surface area = 3 × l × b
= 3 × 14 × 6
= 252cm²
Thus, the lateral surface area and total surface area of the given triangular prism are 252cm² and 348 cm² respectively.
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help me answer this please
Answers
Answer:
3,952 ft
Step-by-step explanation:
Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.
sin8°=\(\frac{550}{c}\)
csin8°=550
c=550/sin8°
c= 3,952
Which equation represents a line that passes through (5, 1) and has a slope of StartFraction one-half EndFraction?
y – 5 = y minus 5 equals StartFraction one-half EndFraction left-parenthesis x minus 1 right-parenthesis.(x –1)
y – y minus StartFraction one-half EndFraction equals 5 left-parenthesis x minus 1 right-parenthesis. = 5(x –1)
y – 1 = y minus 1 equals StartFraction one-half EndFraction left-parenthesis x minus 5 right-parenthesis.(x –5)
y – 1 = 5y minus 1 equals 5 left-parenthesis x minus StartFraction one-half EndFraction right-parenthesis.
Answers
Step-by-step explanation:
Slope 1/2 point 5,1
in point slope form would be
(y-1) = 1/2 (x-5)
If 3b – (6 – b) = –22, find the value of 7b.
Answers
Answer:
Step-by-step explanation:
first solve for b:
distribute the negative sign over the parentheses so:
3b-6+b=-22
combine like terms:
3b+b=-22+6
4b=-16
b=-4
2. Plug in the value of b
7b (replace b with -4)
7(-4)
=-28
When you calculate (In) 7, you would be finding the
value of which of the following expressions?
O log10 7
O log, 10
O log, e
O log 7
Answers
Option (O log 7) refers to the base-10 logarithm of 7, represented as log10(7), which is not the same as ln (7). Optional (O log, 10) and (O log, e) mathematical expressions are not acceptable.
what is logarithm?In mathematics, the logarithm is the reciprocal of a power. As a result, the exponent by which b must be raised to achieve a number x matches its logarithm in base b. For example, because 1000 = 103, the base-10 logarithm is 3, or log10 = 3. For example, the base 10 logarithm of 10 is 2, but the square of 10 is 100. Log 100 = 2. A logarithm (or log) is the mathematical word used to answer questions such as how many times a base of 10 must be multiplied by itself to get 1,000. The answer is 3 (1,000 = 10 10 10).
When you compute (In), you are calculating the natural logarithm of 7, which is indicated as ln(7) or loge (7).
As a result, the expression you'd be looking up the value of is: ln(7) or loge (7).
Option (O log 7) refers to the base-10 logarithm of 7, represented as log10(7), which is not the same as ln (7). Optional (O log, 10) and (O log, e) mathematical expressions are not acceptable.
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1/3x+ 1/3y=–9/5
in standard form
helpp
Answers
There is the answer to this equation problem
Darren is copying abc first,he constructs de as a copy of ab.next he constructs d as a copy of a,using de as one of the sides.
Answers
The discussion is shown below:
What is Construction?Geometric constructions help us to draw lines, angles, and shapes with simple tools.
Given:
A copy of triangle ABC is drawn
He has constructed an angle D and side DE. All he needs to do is constructed another edge.
The process for constructing is to start with point D and create a ray with angle D to point DE.
In order to cross the ray at point F, draw a line parallel to AB.
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Whats 200x3 I tried to answer it but it difficult and I knew you guys could help me?
Answers
Answer:
600
Step-by-step explanation:
200x3=600
Answer:
its 1200
Step-by-step explanation:
Look for factors that will help you determine what type of economy exists in Country A.
Based on the clues in this passage, what type of economy does Country A have?
developed
developing
transitioning
command
Answers
developing:
a low GDP
an economy based on agriculture
Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.
A temperature increase of 9 degree
Answers
1. The demand of calculators when its price per unit is Rs 1200,is Rs 4000. When the price increases to Rs 1500, only 3000 calculators are demanded. a.Find the demand equation in the form of p = f(Q)
b.Obtain the number of calculations demanded when the price per unit calculators is Rs 1650
c. If 4500 calculations are demanded, what should be the price per unit of calculator?
Answers
a) the demand equation in the form of p = f(Q) is p = -10/3Q + 14533.33
b) when the price per unit of calculators is Rs 1650, approximately 3865 calculators are demanded.
c) when 4500 calculators are demanded, the price per unit should be approximately Rs 3010.
To find the demand equation in the form of p = f(Q), we need to determine the relationship between the price per unit (p) and the quantity demanded (Q) based on the given information.
Let's use the two data points provided:
Point 1: Price (p1) = Rs 1200, Quantity (Q1) = 4000
Point 2: Price (p2) = Rs 1500, Quantity (Q2) = 3000
First, we calculate the slope of the demand equation using the formula:
Slope = (Q2 - Q1) / (p2 - p1)
Substituting the values, we get:
Slope = (3000 - 4000) / (1500 - 1200) = -1000 / 300 = -10/3
Next, we use one of the data points and the slope to find the y-intercept (b). Let's use Point 1:
p1 = Rs 1200, Q1 = 4000
Using the equation of a straight line (y = mx + b), we can rearrange it to solve for b:
b = y - mx
b = 1200 - (-10/3)(4000) = 1200 + 40000/3 = 1200 + 13333.33 = 14533.33
Therefore, the demand equation in the form of p = f(Q) is:
p = -10/3Q + 14533.33
To find the number of calculators demanded (Q) when the price per unit is Rs 1650, we can rearrange the equation and solve for Q:
1650 = -10/3Q + 14533.33
-10/3Q = 1650 - 14533.33
-10/3Q = -12883.33
Q = (-12883.33) / (-10/3)
Q = 12883.33 * 3/10
Q ≈ 3865
Therefore, when the price per unit of calculators is Rs 1650, approximately 3865 calculators are demanded.
Now, let's determine the price per unit (p) when 4500 calculators are demanded. We rearrange the equation and solve for p:
4500 = -10/3Q + 14533.33
-10/3Q = 4500 - 14533.33
-10/3Q = -10033.33
Q = (-10033.33) / (-10/3)
Q = 10033.33 * 3/10
Q ≈ 3010
Therefore, when 4500 calculators are demanded, the price per unit should be approximately Rs 3010.
By using the slope-intercept form of a linear equation and the given data points, we can determine the demand equation and solve for various scenarios, including finding quantities demanded at specific prices and determining the appropriate price for a given quantity demanded.
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Please help me with this
Answers
The volume of rectangular prism is 90 unit³.
We can consider the 1 block = 1 unit.
Length of prism = 5 unit
width of prism = 6 unit
Height of prism = 3 unit
So, Volume of rectangular prism
= l w h
= 5 x 6 x 3
= 90 unit³
Thus, the volume of rectangular prism is 90 unit³.
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Solve: -5 3/4 - 3 1/2=?
Answers
I hope this helps!
Answer:
-9.25 in decimal form
-9 1/4 :) in fraction form
hope this helps here is the explanation on how I got this answer :)!
therefor it will be the last answer :)
Step-by-step explanation:
-9.25
= – 9.25 × 100
1 × 100= –925
100
= – 925 ÷ 25
100 ÷ 25
= – 374
= – 9 1/4
All girls are the same
They're rotting my brain
Think I need a change
Before I go insane
10 minutes she told me it would Take 10 minutes
To break my heart oh no you didn't
F living imma drown in my sorrow
F giving imma take not borrow
Answers
Answer:
Step-by-step explanation:
you ok bud? dont be sad its ok :D
BRAINLIEST IF CORRECT HURRY
Which statements represent the relationship between y=3x and y=log3x ?
a. The graphs of functions are symmetric about the line y = 0.
b. The functions are inverses of each other.
c. The graphs of functions are symmetric to each other over the line y = x.
d. The equation y=log3x is the logarithmic form of y=3x .
Answers
2 Answers: Choice B and Choice C
====================================================
Explanation:
Choice A is false because all of \(y = 3^x\) is above the x axis. There are no portions below the x axis, which means it cannot possibly be symmetric about the x axis.Choice B is true. The exponential undoes the log, and vice versa. This only works if the bases of the exponential and log are the same. In this case, both are base 3.Choice C is true. To visually find the inverse, we reflect over the line y = x.Choice D is false. Converting \(y = 3^x\) to logarithmic form leads to \(x = \log_3(y)\). So you'll need to swap the x and y.Use the following information to find the following lengths.
Given: AB ≅ BC, AC ≅ CD, AD ≅12
AB=
DB=
CD=
Answers
Step-by-step explanation:
AB = 3
DB = 3 + 6 = 9
CD = 6
hope this answer helps you dear...take care!
Answer:AB=6 DB=9 CD=6
Step-by-step explanation:
If AC and CD are congruent, the are both 6 (because half of 12 is 6)
That means, If AB and BC are congruent, they are each 3(because 3 is half of 6
For DB, 3+6=9