Answer:
A.3, 7, 11, 15, 19, ...The first term is 3 and the common difference is 4.
The nth term is:
aₙ = a₁ + (n - 1)daₙ = 3 + 4(n - 1) = 4n - 1aₙ = 4n - 1B.-3, 9, -27, 81, -243, ...The first term is -3 and common ratio is -3.
The nth term is:
aₙ = a₁rⁿ⁻¹aₙ = -3*(-3)ⁿ⁻¹ = (-3)°aₙ = (-3)ⁿC.3/4, 5/7, 7/10, 9/13, 11/16, ...The numerator and the denominator are both AP.
The numerator:
b₁ = 3, d = 2The nth term is:
bₙ = 3 + 2(n - 1) = 2n + 1The denominator:
c₁ = 4, d = 3The nth term is:
cₙ = 4 + 3(n - 1) = 3n + 1The nth term of the sequence is:
aₙ = bₙ/cₙaₙ = (2n + 1)/(3n + 1)
What is the final step to prove that Sn>-1/2-1/4-1/8...-1/2n=1/2n
Answer:
By a theorem we learned, i. and ii. are valid under the assump- tion that the sequences (a n)1 n=1and (b n) 1 n=1are convergent. For iii.]
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
final step for induction proof
Find the domain D and range R of the function f(x)=|9+2x|. (Use symbolic notation and fractions where needed. Give your answers as intervals in the form (∗,∗). Use the symbol [infinity] for infinity and the appropriate type of parenthesis "(", ")", "[", or "]" depending on whether the interval is open or closed.)
Answer:
Domain of the function 'f' → [tex](-\infty,\infty)[/tex]
Range of the function 'f' → [tex][0,\infty)[/tex]
Step-by-step explanation:
Parent function of an absolute function is,
g(x) = |x|
Domain of the parent function → [tex](-\infty,\infty)[/tex]
Range of the parent function → [tex][0,\infty)[/tex]
If the function 'g' is vertically stretched by a factor of 2, the new function will be,
h(x) = |2x|
Function 'g' is translated by 9 units to the left, then the new function will be,
f(x) = |2x + 9|
By shifting the parent function on x-axis domain of the function will remain same as of the parent function.
Domain of the function 'f' → [tex](-\infty,\infty)[/tex]
Since, there is no shifting along the y-axis therefore, Range of the function will remain the same as the parent.
Range of the function 'f' → [tex][0,\infty)[/tex]
Plz will be brainleist and worth 20 pt
Answer:
B
Step-by-step explanation:
J = distributive
G = commutative
HELPPPPPPPPPP FAST PLSSSSSSSSSSSSSSSSSSSSS
The data modeled by the box plots represent the battery life of two different brands of batteries that Mary tested. A) What is the median value of each data set? B) Compare the median values of the data sets. What does this comparison tell you in terms of the situation the data represents? ( Answer A and B) Will Mark Brainliest if correct answer.
Answer:
X = 13 ; Y = 16
Median Y > Median X
Battery Y lasts longer and hence better than Battery X.
Step-by-step explanation:
From the box plot, median value is the point marked by the vertical line in between the box located between the whiskers.
Median :
Brand X = 13
Brand Y = 16
This median value depicts that, average battery life of brand X batteries is 13 hours while that of brand Y batteries is 16 hours ; Median value of Y is greater Than median value of X ;
This means Brand Y batteries lasts longer on average than Brand X batteries.
PLEASE HELP THIS IS DUE SOON!
Sales Hester sells televisions. She earns a fixed amount for each television and an additional $20if the buyer gets an extended warranty. If Hester sells 19 televisions with extended warranties, she
earns $1,710. How much is the fixed amount Hester earns for each television?
The fixed amount Hester earns for each television she sells is $]
Answer:
380
Step-by-step explanation:
multiply 20 x 19
2(x + 1),
x = 5
Substitute
Answer:
12
Step-by-step explanation:
2(5+1) =
2(6) =
12
When building a house, the number of days required to build varies inversely with
with the number of workers. One house was built in 11 days by 49 workers. How
many days would it take to build a similar house with 7 workers?
Answer: 77 days
Step-by-step explanation:
Find the mode of the following: 75, 93, 89, 75
Answer:
75
Step-by-step explanation:
The mode is the number that appears most often!
Good luck!!!
Answer:
75
Step-by-step explanation:
The mode is the number that occurs most in the data set. In this case, 75 occurs 2 times.
hope this helped!
Which of the following situations can be represented by C = 10 + 0.44n?
Answer:
10.44
Step-by-step explanation:
HELP ASAP!!
Combine like terms:
-7x + 8 - 4x - 9
answers:
1. -11x - 1
2. -3x - 1
3. -11x + 17
4. -12
Answer:
The answer for -7x + 8 - 4x - 9 is 1. -11x-1
Jasper borrowed $985 for a new TV and game system. He will make 6 payments of $190 to repay the loan. How much will he pay in interest?
Answer:
$155
Step-by-step explanation:
If the TV costs $985 and Jasper pays 6 * $190 = 1190 then Jasper pays $1140 - $985 = $155 in interest.
Answer:
155
Step-by-step explanation:
190
×6=1140-985=155
A bag contains 4 red balls and 6 green balls. You plan to select 3 balls at random. Determine the probability of selecting 3 green balls.
Complete the dilation centered at point G with a scale factor of 2.
Answer:
G=(-4,5)
G=(2*-4,2*5)
G=(-8,10)
Step-by-step explanation:
Plz help plz ASAP plz help
Answer:
10.4 meters
Step-by-step explanation:
3² + 10² = c²
9 + 100 = c²
c² = 109
c = √109 ≈ 10.4
Solve for 44.
51°
64 = [?]
44 42=72°
57°
I
Answer:
look at the picture i have sent
Answer:
[tex] \displaystyle \angle4 = {108}^{ \circ} [/tex]
Step-by-step explanation:
we are given a triangle
and we want to figure out the missing exterior angle of the triangle
in order to so
remember
the straight line theorem
therefore we get:
[tex] \displaystyle {72}^{ \circ} + \angle4 = {180}^{ \circ} [/tex]
cancel 72° from both sides:
[tex] \displaystyle \angle4 = {108}^{ \circ} [/tex]
Alternate way:recall that,
if a side of a triangle is extended then exterior angle so formed equal to the sum of the two opposite interior angles
so we acquire:
[tex] \displaystyle {51}^{ \circ} + {57}^{ \circ} = \angle4 [/tex]
simplify addition:
[tex] \displaystyle \angle4 = {108}^{ \circ} [/tex]
Aaron was offered a job that paid a salary of \$57,000$57,000 in its first year. The salary was set to increase by 1% per year every year. If Aaron worked at the job for 29 years, what was the total amount of money earned over the 29 years, to the nearest whole number?
Answer:
The total amount received is: $1906650
Step-by-step explanation:
Given
[tex]a = \$57000[/tex] --- initial
[tex]b = 1\%[/tex] --- rate
[tex]n = 29[/tex] --- time
Required
Determine the total amount at the end of 29 years
The given question is an illustration of geometric progression, and we are to solve for the sum of the first n terms
Where [tex]n = 29[/tex]
[tex]r = 1 + b[/tex]
[tex]r = 1 + 1\%[/tex]
Express percentage as decimal
[tex]r = 1 + 0.01[/tex]
[tex]r = 1.01[/tex]
The required is the calculated using:
[tex]S_n = \frac{a(r^n - 1)}{r - 1}[/tex]
So, we have:
[tex]S_n = \frac{57000 * (1.01^{29} - 1)}{1.01 - 1}[/tex]
[tex]S_n = \frac{57000 * (1.3345- 1)}{0.01}[/tex]
[tex]S_n = \frac{57000 * 0.3345}{0.01}[/tex]
[tex]S_n = \frac{19066.5}{0.01}[/tex]
[tex]S_n = 1906650[/tex]
The total amount received is: $1906650
Find the value of x
Answer:
110 degrees
Step-by-step explanation:
i know this for a fact could you pls hit the crown to give brainliest when other person answers?
Answer:
x=110 degrees
Step-by-step explanation:
just trust me lol
What value of N balances the scale
Find the surface area of the rectangular prism.
4 yd
(2 yd
1 yd
Answer:
4 x 2 x 1 = 28
Step-by-step explanation:
12
i hope this helped sorry if it's wrong but i wish you luck (i am not good with math)
pleaseee helpppp!!
Answer:
x = 148
Step-by-step explanation:
vertical angles are congruent
the angle with a measure of 148° and the angle labeled "x" are vertical angles.
Hence, x = 148
Answer:
x=148 because the opposite angles are equal
also, the rest of the smaller angles are both 32 degrees if you need them
you can check because 148+148+32+32=360
hope it helps:)
The length of a vegetable garden is 5 times its width. If its width is 3/4 meter, what is the area?
what is the area of this figure?
Answer:
4 ssquare units
Step-by-step explanation:
If Bill hiked 6.5 miles at a rate of 10.4 mph, how long did it take him to complete his hike?
Answer:
32 minutes or .5333 of an hour
Step-by-step explanation:
As part of the Pew Internet and American Life Project, researchers conducted two surveys in late 2009. The first survey asked a random sample of 800 U.S. teens about their use of social media and the internet. A second survey posed similar questions to a random sample of 2253 U.S. adults. In these two studies, 73% of teens and 47% of adults said that they use social networking sites. Use these results to construct and interpret a 95% confidence interval for the difference between the proportion of all U.S. teens and adults who use social networking sites.
Answer:
The 95% confidence interval for the difference between the proportion of all U.S. teens and adults who use social networking sites is (0.223, 0.297). This means that we are 95% sure that the true difference of the proportion is in this interval, between 0.223 and 0.297.
Step-by-step explanation:
Before building the confidence interval we need to understand the central limit theorem and the subtraction of normal variables.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Sample of 800 teens. 73% said that they use social networking sites.
This means that:
[tex]p_T = 0.73, s_T = \sqrt{\frac{0.73*0.27}{800}} = 0.0157[/tex]
Sample of 2253 adults. 47% said that they use social networking sites.
This means that:
[tex]p_A = 0.47,s_A = \sqrt{\frac{0.47*0.53}{2253}} = 0.0105[/tex]
Distribution of the difference:
[tex]p = p_T - p_A = 0.73 - 0.47 = 0.26[/tex]
[tex]s = \sqrt{s_T^2+s_A^2} = \sqrt{0.0157^2+0.0105^2} = 0.019[/tex]
Confidence interval:
Is given by:
[tex]p \pm zs[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
Lower bound:
[tex]p - 1.96s = 0.26 - 1.96*0.019 = 0.223[/tex]
Upper bound:
[tex]p + 1.96s = 0.26 + 1.96*0.019 = 0.297[/tex]
The 95% confidence interval for the difference between the proportion of all U.S. teens and adults who use social networking sites is (0.223, 0.297). This means that we are 95% sure that the true difference of the proportion is in this interval, between 0.223 and 0.297.
Which could be the dimensions of a rectangular prism whose surface area is greater than 140 square feet? Select three options.
6 feet by 2 feet by 3 feet
6 feet by 5 feet by 4 feet
7 feet by 6 feet by 4 feet
8 feet by 3 feet by 7 feet
8 feet by 4 feet by 3 feet
Answer
B. 6 feet by 5 feet by 4 feet
C. 7 feet by 6 feet by 4 feet
D. 8 feet by 3 feet by 7 feet
Answer:b c d
Step-by-step explanation:
conformidad
VERY URGENT PLS LOOK AT PICTURE
Answer:
Number of year = 25 year and 7 month (Approx.)
Step-by-step explanation:
Given:
Amount deposit = $200,000
Future amount = $1,000,000
Rate of interest = 6.5%
Find:
Number of year
Computation:
Using compound amount formula;
A = P[1+r]ⁿ
1,000,000 = 200,000[1+6.5%]ⁿ
1,000,000 / 200,000 = [1+6.5%]ⁿ
5 = [1+0.065]ⁿ
n = 25.557
Number of year = 25.557
Number of year = 25 year and 7 month (Approx.)
Find the 10th term of the geometric sequence show below
–8x6, -40x8, –200x10,
•••
Help
Answer:
-15625000x^24
Step-by-step explanation:
Which statement is true about the equations -3x + 4y = 12 and %x-Ay=17
O The system of the equations has exactly one solution at (-8, 3).
The system of the equations has exactly one solution at (-4, 3).
The system of the equations has no solution, the two lines are parallel.
O The system of the equations has an infinite number of solutions represented by either equation.
Answer:
No solution, the lines are parallel.
Step-by-step explanation:
Any line can be represented by the equation
y = mx + b
where m is the slope and b is the y intercept.
-3x + 4y = 12
4y = 3x + 12
y = 3/4 x + 3
AND
1/4 x - 1/3 y = 1
- 1/3 y = - 1/4 x + 1
-4y = -3x + 12
4y = 3x - 12
y = 3/4 x - 3
If you get both equations in this form it is evident that the slopes m are the same (parallel) but the y intercept's b are different (not the same line). Therefore no solution.
The diagram below shows a side view of a set of stairs. What is the area shown?
No links, docs, files, drives etc
I will mark the correct answer brainlyest
You earn many points
Answer:
468
Step-by-step explanation:
Answer:
468
Step-by-step explanation:
First, we want to break this up into separate pieces, there will be 3 rectangles and 1 square.
each rectangle has a height of 6 and a width of 24. so the area of each rectangle would be 6*24 or 144, then we multiply that by 3 because there are 3 rectangles, when we multiply 144*3 we will get 432.
Now we must solve for the area of the square, on each side, it is 6 cm so we multiply 6*6 so we get 36, that's all we need to do for that now.
to get our final answer we add both answers together so, 432+36 then our final answer is 468 cm