in an arithmetic sequence, term 10 is 33 and term 22 is -3. What are the first 4 terms
Answers
Answer:60,57,54,51
Step-by-step explanation:
Answer:
you just need to key in these numbers into your calculator:
T1 = a
=43.8
T2= 43.8 + (2-1)(-1.2)
T3= 43.8 + (3-1)(-1.2)
T4= 43.8 + (4-1)(-1.2)
Step-by-step explanation:
in AP, you need to know [Tn= a + (n-1)d]
now in this case, a= Term1 or T1
n= number of terms (eg. T8)
d= differences (the differences
between 2 terms)
step1: analyse what hint is given to u
given:
T10 = 33
T22 = -3
then the question asked for first 4 terms :
T1, T2, T3 and T4, meaning these r the ones you need to find
step2: use what u have
in this problem, you hv no choice but to use simultaneous equation (im using substitution method btw cause i dont know how to do elimination method :D)
Tn= a + (n-1) d
fisrt, im gonne do equation for term 10/T10=33
T10= a + (10-1)d
33 = a +9d (bring 9d to the other side or over "=")
a = 33-9d ----- equation 1
Tn= a + (n-1) d
next, im gonne do equation for term 22/T22= -3
T22= a + (22-1)d
-3 = a + 21d (bring 21d to the other side or over
"=")
a = -3-21d ----- equation 2
step3: subs. equation1 = equation2 by substitution
a = a
33+9d = -3-21d
21d+9d = -3-33
30d = -36
d = -1.2
now ypu have d value, sub it into any equation you like. for me, i used equation 1
sub d = -1.2 into equation 1, a = 33 -9d
a = 33 - 9( -1.2)
=43.8
Therefore,
T1/a = 43.8
now, for the rest of the terms hv already been typed for you (above, under the answer word). all you hv to do now is to key it into your calculator :D
Related Questions
what fraction of 5 is 1/2
Answers
Answer:
1/10
Step-by-step explanation:
1/2 divided by 5 = 1/10
Answer:
2 1/2
Step-by-step explanation:
the selling price for a pair of jeans is 39.98. There is a 4.5% sales tax on all purchases. How much would it cost to buy the jeans?
Answers
Answer:
$41.78
Step-by-step explanation:
tax is 4.5% on top of original price of 39.98
so multiplying 39.98 by 1.045 gives us 41.78
you multiply by 1.045 because 4.5% is the same as 0.045 and the 39.98 represents 100% of the price so it is 1 and you are paying 104.5% of that price for it when tax is included
you add the price and the sales tax to get the total amount
If f(1) = 4 and f(n) = f(n − 1) + 5 then find the value of f(5).
Answers
Answer:
25
Step-by-step explanation:
f(5)=5(5-1)+5
f(5)=5(4)+5
f(5)=20+5
f(5)=25
Answer:
f(5) = 24
Step-by-step explanation:
f(1) = 4
f(n) = f(n − 1) + 5
Let n = 2
f(2) = f(2 − 1) + 5 = 4+5 = 9
Let n = 3
f(3) = f(3 − 1) + 5 = f(2)+5 = 9+5 = 14
Let n = 4
f(4) = f(4 − 1) + 5 = f(3)+5 = 14+5 = 19
Let n = 5
f(5) = f(5 − 1) + 5 = f(4)+5 = 19+5 = 24
FIND THE VALUE OF EACH EXPONENTIAL NOTATION COLOR THE CORRECT ANSWER THROUGH NAVIGATING THE EXPONENT MAZE. (PA HELP NAMAN GUYS)
Answers
The complete maze pattern is shown below.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.An exponent refers to the number of times a number is multiplied by itself.Given is an exponent maze.
We can complete the maze as -
START HERE →→ 3³ → → 9 →→ 1³ →→ 1 →→ 9² →→ 81 →→ 4³ →→ 64 →→ 2⁵ →→ 32 →→ 11² →→ 121 →→ 8² →→ 64 →→ 15³ →→ 3375 →→ 13² →→ 169 →→ 2⁴ →→ 16 →→ 10² →→ 100 →→ 2³ →→ 8 →→ 6⁴ →→ 1296 →→ 12² →→ 144 →→ 3³ →→ 27 →→ YOU MADE IT.
Therefore, the complete maze pattern is shown above.
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A turtle swam 20 miles yesterday. If 1 mile=5280 feet how many feet did the turtle swim
Answers
Answer:
105,600 feet
Step-by-step explanation:
Answer: 105,600
Step-by-step explanation:
5280 x 10 = 52800
52800 x 2 = 105,600
Find the area of a circle with diameter 31.6 cm, both in terms of π and to the nearest tenth. Use 3.14 for π.
Answers
Answer:
784.3
Step-by-step explanation:
3.14(15.8)^2 = 784.3
hope this helped :>
What is a number (from the choices given) that make this solution true?
x - 10 > 45
45
50
55
60
Answers
Answer:
60 for sure
Step-by-step explanation:
when you subtract 60 from 10 you get 50 which is greater than 45, well it is so easy that a 1st grader can answer (don't mean anything bad)
The ratio of men to women working for a company is 5 to 8 . If there are 273 employees total, how many women work for the company?
Answers
Answer:
110 women, see below for explanation. (hope this helps)
Step-by-step explanation:
3 to 5
3x + 5x = 176
8x = 176
x = 176/8
x = 22
3*22 = 66 men
5*22 = 110 women
(Unit 2) What makes the results of a study statistically significant?
Answers
The difference between groups and the sample size makes the results of a study statistically significant.
Statistical significance is a measure of the likelihood that the results of a study are not due to chance. In order for a result to be statistically significant, it must meet two criteria:
The difference between groups must be large enough to be unlikely to occur by chance. This is typically assessed using a statistical test such as a t-test or an ANOVA.
The result of the test is expressed as a p-value, which represents the probability of obtaining the observed results if there were no true difference between groups. A p-value of less than 0.05 (or 5%) is generally considered to be statistically significant.
The sample size must be large enough to reduce the possibility of sampling error. A larger sample size generally increases the power of a study, making it more likely to detect a true effect.
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Keith fills an aquarium to a depth of
3/4
meters in 1 1/5
minutes.
What is the unit rate in minutes per meter?
Write your answer as a fraction or a mixed number in simplest form.
Answers
Answer:
1 3/5 minutes per meter
Step-by-step explanation:
To find the rate in minutes per meter, divide the given minutes by the given meters:
(1 1/5 min)/(3/4 m) = (6/5)×(4/3) min/m = 8/5 min/m
= 1 3/5 minutes per meter
a survey of 500 college students shows the average number of minutes that people talk on their cell phones each month. round your answer to at least four decimal places. less than 600 600-799 800-999 1000 or more men 34 27 34 10 women 62 292 30 11 if a person is selected at random, find the probability that the person talked less than 600 minutes if it is known that the person was a woman.
Answers
Answer:
Step-by-step explanation:
Consider the two events A and B. Let the event A = the selected person was a woman and let the event B = the person talked between 600 and 799 minutes
The probability that a randomly selected person who talked less than 600 minutes is a woman is approximately 0.1570.
To find the probability that a randomly selected person who talked less than 600 minutes is a woman, we need to consider the number of women who talked less than 600 minutes and divide it by the total number of women surveyed.
From the given data:
Women who talked less than 600 minutes = 62
Total number of women surveyed = 62 + 292 + 30 + 11 = 395
Now, we can calculate the probability:
Probability = (Number of women who talked less than 600 minutes) / (Total number of women surveyed)
Probability = 62 / 395
Now, let's calculate the value:
Probability ≈ 0.1570
Rounded to four decimal places, the probability that a randomly selected person who talked less than 600 minutes is a woman is approximately 0.1570.
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Select all the measures of variability that can be used to compare two data sets.
A. Mean
B. Interquartile Range
C. Median
D. Mode
E. Range
Answers
Range, interquartile range, standard deviation, and variance are four measures of variability that can be used to compare two data sets.
Variability is most generally measured proving the following descriptive data:area:
Difference between highest and lowest values.
Range is the straightforward allowance to calculate variability. To asset the area, follow these steps:
Sort all the values in the dataset from lowest to highest.
Subtract the lowest value from the highest value. Interquartile range:
area of the middle half of the distribution
standard deviation:
mean distance from mean
Standard deviation is a useful measure of the variance of a normal distribution.
A normal distribution distributes data symmetrically without skew. Most of the values are clustered around the central region, with values tapering away from the center. Standard deviation indicates how far the data are, on average, from the center of the distribution.
deviation:
mean squared distance from mean
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What happens to momentum when objects stick together.
Answers
Answer number 4 please.
Answers
The set is {7, 9, 11, 13, 15}.
SSE can never bea. larger than SST b. smaller than SST c. equal to 1 d. equal to zero
Answers
The correct answer is (b) SSE can never be smaller than SST.
SSE (Sum of Squared Errors) and SST (Total Sum of Squares) are terms used in statistics, specifically in the context of regression analysis.
In regression analysis, the total variation in the dependent variable (Y) can be decomposed into two parts: the variation explained by the independent variable(s) (X) and the variation that is not explained by the independent variable(s). SST represents the total variation in Y, while SSE represents the unexplained variation in Y.
a. larger than SST: This is not possible, as SSE represents only the unexplained variation in Y, while SST represents the total variation in Y. Therefore, SSE must always be less than or equal to SST.
b. smaller than SST: This is true, as explained above. SSE represents the unexplained variation in Y, which is always less than or equal to the total variation in Y represented by SST.
c. equal to 1: This is not possible, as SSE and SST are measures of variation in Y and are not constrained to a particular range or value.
d. equal to zero: This is also not possible, as SSE represents the unexplained variation in Y, and there will almost always be some unexplained variation in real-world data. If SSE were equal to zero, it would indicate a perfect fit of the regression model, which is unlikely to occur in practice.
Therefore, the correct answer is (b) SSE can never be smaller than SST.
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SSE can't exceed SST, can be smaller than SST, can equal to 1 when data is standardized, and can equal to zero if the model fits the data perfectly.
Explanation:SSE (Sum of Squared Errors) and SST (Total Sum of Squares) are statistical measures used in regression analysis. They provide information about the variability of data points around a fitted value. The SSE is never larger than SST as it accounts for the variance that the model doesn't explain, whereas SST accounts for total variance in the data. SSE can be equal to zero if the model perfectly fits the data. It cannot be equal to 1 unless the data is standardized and the model perfectly fits the data. Therefore, the answer can be summarized as:
SSE can never be larger than SSTSSE can be smaller than SSTSSE can at times be equal to 1, specifically when data is standardizedSSE can be equal to zero if model perfectly fits the dataLearn more about SSE and SST here:
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Solve the equation. Check your solution.
1 2/3 x j = 15
Answers
Answer:
12/3 means 4 so
4×j=15
4j=15 then divide 4 both sides
4j/4=15/4
j=3.75
Step-by-step explanation:
the answer is definitely correct
Answer:
9
Step-by-step explanation:
\(\frac{5}{3}\)·\(j=15\)
\(\frac{5}{3} j=15\)
\(15\) ÷ \(\frac{5\\}{3}\) \(=9\)
\(j=9\)
There are 425 sixth graders this year. This is 37 less than last year. How many sixth graders were there last year?
Answers
Answer:
388
Step-by-step explanation:
There will be 388 sixth graders because you just have to do 425 minus 37 if your not sure how to do it just line the numbers up for the tenths to the hundreds
PLEASE HELPPP ME!
I WILL GIVE YOU BRANLIEST!!
M(∠ABC) is right-angled-triangle with CD the altitude on the hypotenuse Determine the length of AC andBC if AD=12cm and DB=3cm.
Answers
M(∠ABC) is right-angled-triangle with CD the altitude on the hypotenuse. If AD=12 cm and DB=3 cm, then the length of AC is 8 cm and BC is 8 cm
Given:
Right-angled triangle M(∠ABC) with CD as the altitude on the hypotenuse AB.AD = 12 cmDB = 3 cmTo find:
Length of AC and BC
We can use the Pythagorean theorem, which states that for any right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
\(Let AC = x and BC = y.\)
From triangle ACD, we have:
\(AC^2\) + \(CD^2\) = \(AD^2\) -- (1)
From triangle BCD, we have:
\(BC^2\) +\(CD^2\)= \(DB^2\) -- (2)
Since CD is the altitude on the hypotenuse AB, we can express its length in terms of x and y as:
CD = (AC * BC) / AB
Substituting this expression for CD in equations (1) and (2) and simplifying, we get:
\(x^2\) + \(((AC * BC) / AB)^2\) = 144 -- (3)
\(y^2 + ((AC * BC) / AB)^2\) = 9 -- (4)
We also know that AC + BC = AB.
Solving for BC in terms of x, we get:
BC = AB - AC = \(\sqrt{(x^2 + ((AC * BC) / AB)^2)\) - x
Substituting this expression for BC in equation (3) and simplifying, we get:
(\(AB^2 - 2x^2\)) * ((AC * AB) / \(AB^2\)) = 144 -- (5)
Similarly, substituting the expression for BC in equation (4) and simplifying, we get:
(\(AB^2 - 2y^2\)) * ((AC * AB) / \(AB^2\)) = 9 -- (6)
We can solve equations (5) and (6) simultaneously to find the values of AC and BC.
Multiplying equation (5) by 16 and equation (6) by 3, we get:
48(\(AB^2 - 2x^2\)) * ((AC * AB) / \(AB^2\)) = 432
16(\(AB^2 - 2y^2\)) * ((AC * AB) / \(AB^2\)) = 48
Simplifying these equations, we get:
3(\(AB^2 - 2x^2\)) * AC = 27 -- (7)
\(AB^2 - 2y^2\)= 3 -- (8)
We can substitute \(AB^2 = AC^2 + BC^2\) and BC = AB - AC in equations (7) and (8) to get:
\(3AC^3 - 42AC^2\) + 144AC - 1080 = 0
We can solve this cubic equation for AC using a numerical method or by factoring. One possible factorization is:
3(AC - 6)(\(AC^2\) - 6AC + 180) = 0
The only positive root of this equation is AC = 6 cm. Substituting this value of AC in equation (5) and solving for BC, we get:
BC = 8 cm
Therefore, the length of AC is 6 cm and the length of BC is 8 cm.
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The Scale on the map is 1 inch = 2 1/2 miles. The distance between the streets on the map is 1 3/4 inches. What is the actual destance between the streets
Answers
4 1/2 miles
thanks if you see this
Use a graphing calculator to sketch the graph of the quadratic equation, and then give the coordinates for the x-
intercepts (if they exist).
y = -4x2 + 12x + 40
a. (2,0); (-5, 0)
C. (-2, 0); (5,0)
b. (-2,0
d. (2,0); (5,0)
Answers
Tricia buys 18 apples for $27. The total cost, c, of the apples is proportional to the number of apples, a, that she buys. How much does one apple cost? Create an equation using c and a to represent the proportional relationship.
Answers
If Tricia buys 18 apples for $27 and the total cost c of the apples is proportional to the number of number of apples a that she buys, then the cost of one apple is $1.5 and the relationship between c and a is c = 1.5a
The cost of 18 apples = $27
Here we have to use unitary method to find the cost of one apple
The cost of one apple = 27/18
= $1.5
Consider the total cost of the apples as c and the number of apples she bought as a
Then the relationship will be
c ∝ a
c = ka
Here the k is the constant that will be the cost of one apple
The cost of one apple = $1.5
Then the relationship will be
c = 1.5a
Hence, if Tricia buys 18 apples for $27 and the total cost c of the apples is proportional to the number of number of apples a that she buys, then the cost of one apple is $1.5 and the relationship between c and a is c = 1.5a
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A company is selecting 6 people to be on a committee. There are 26 employees eligible to be on the committee. What is the total number of ways the committee may be formed if the employees are selected at random and each employee will have a different position on the committee
Answers
C(26, 6) = 230,230 possible sets....!!
find a formula for the nth term of the sequence where a subscript n is calculated directly from the value of n. 6/1,8/2,10/6
Answers
The formula for the nth term of the sequence is: a_n = (2n + 4) / (2^(n-1))
To generate a formula for the nth term of the sequence, let's examine the pattern in the provided terms:
Term 1: 6/1
Term 2: 8/2
Term 3: 10/6
From the provided terms, we can observe that the numerator of each term is increasing by 2, and the denominator is increasing by a factor of 2 for each term.
We can express the numerator of the nth term as 6 + (n - 1) * 2, which simplifies to 6 + 2n - 2 = 2n + 4.
For the denominator, we can express it as 1 * 2^(n-1), which simplifies to 2^(n-1).
Therefore, the formula is:
a_n = (2n + 4) / (2^(n-1))
This formula will give you the value of the nth term based on the value of n.
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12. write a formula that will convert the volume given in 1,000s into a
volume given in 100s. use the left side of the equation to indicate in
which cell to store the formula.
a. intel corp
b. yahoo! inc
store the exact yolume for each stock in
Answers
Formula: Volume given in 100s = Volume given in 1000s * 10
a) 476,040
b) 505,230
Given: To write a formula to convert the volume given in 1000s into a volume given in 100s.
So, the conversions of per thousand sales into per 100 is first multiply volume in 1000’s with 1000 and divide with 100 or multiply volume in 1000’s with 10.
We will follow the later step as it is simpler.
So the formula is:
Volume given in 100s = Volume given in 1000s * 10
a) Intel Corp: Volume given in 1000s = 47, 604
Volume given in 100s = 47, 604 * 10 = 476,040
b) Yahoo! Inc. : Volume given in 1000s = 50, 523
Volume given in 100s = 50, 523 * 10 = 505,230
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Disclaimer: The question is incomplete. The complete question is given below:
Use the spreadsheet below to answer Exercises 12–16.
(see the picture attached given below)
Write a formula that will convert the volume given in 1,000s into a volume given in 100s. Use the left side of the equation to indicate in which cell to store the formula.
a. Intel Corp b. Yahoo! Inc
I need to know this answer
Answers
By expanding \((3x+y^{2})^{2}\), the result as polynomial in standard form is \(9x^2+6xy^2+y^4\)
The given expression is \((3x+y^{2})^{2}\)
Polynomials are the expression that has variables and coefficient. So it is the sum of the terms of the form \(kx^{n}\) where k and n are integers and x is the variable here. The polynomial will not contains the square root, fractions negative powers on the variable.
We know the algebraic identity
\((a+b)^2=a^2+b^2+2ab\)
The given expression is
\((3x+y^{2})^{2}\)
Expand the term by using the above algebraic identity
\((3x+y^2)^{2} =(3x)^{2} +(y^2)^{2}+2(3x)(y^{2} )\)
=\(9x^{2}+y^{4} +6xy^{2}\)
Rearrange the terms and write in standard form
= \(9x^2+6xy^2+y^4\)
Hence, by expanding \((3x+y^{2})^{2}\), the result as polynomial in standard form is \(9x^2+6xy^2+y^4\)
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WILL MAKE THE CORRECT ANSWER BRAINLIEST!!!
WRITE AN EQUATION THAT REPRESENTS THE LINE. USE EXACT NUMBERS.
Answers
Answer:
y = 2/3x + 1 1/3
Step-by-step explanation:
As y increases by 2, x increases by 3, so 2/3. The y - intercept is 1 and 1/3 so plus 1 1/3
round 5.529 to the tenths place
Answers
Answer:
5.5
Step-by-step explanation:
Answer:
5.5
Step-by-step explanation:
Brainlyest goes to the right answer
Answers
3x-0.6y+12
Your picture shows more blank boxes than needed .
Actually to really factor this polynomial correctly a -2.4 should be pulled out getting 5x -y+20
However the instructions were to pull out a -4
So your answer is
-4(3x-0.6y+12)
Simplify the expression by combining like terms.2x + 4y + 6 + 2y - 5 + 3x
Answers
Answer:
Step-by-step explanation:
Here is the workings
2x+4y+6+2y-5+3x combine like terms
2x+3x+4y+2y+6-5
Step 2
2x+3x+4y+2y+6-5 Add the similar exponents
5x+4y+2y+6-5
5x+6y+6-5
Step 3
5x+6y+6-5 Add and subtract
Your answer would be 5x+6y+1
What is the value of 19-7-15+14
Answers
Answer: the answer is 11 :)
Step-by-step explanation: I hope this helped!
Answer:
11
Step-by-step explanation:
19 - 7 = 12 - 15 = -3 + 14 = 11
or, if your brain likes it better, add the positives, then add the negatives, then subtract:
19 + 14 = 33
-7 -15 = -22
33 - 22 = 11