Answers
Answer:
b) [tex]a_{n}[/tex] = 2 + 2/5n
Step-by-step explanation:
Given :-
a = 12/5
d = 2/5
To Find :-
[tex]a_{n}[/tex]
Solving :-
[tex]a_{n}[/tex] = a + (n - 1)d
= 12/5 + 2/5n - 2/5
= 2 + 2/5n
Solution :-
b) [tex]a_{n}[/tex] = 2 + 2/5n
Related Questions
Point s is between points R and T on RT. RS=7 and ST = 11. What is the length of RT?
Answers
Answer:
18
Step-by-step explanation:
Because you have to add 11 to 7 and the equals 18. I hope that helped! :)
using the spinner above, what is the probability that you land on red or blue?
Answers
Answer:
75%
Step-by-step explanation:
red is 50 and the blue is 25
Sunny earns $12 per hour delivering cakes. She worked for x hour this week. Unfortunately, she was charged $15 for late delivery on Tuesday. How much money did sunny earn this week? Write your answer as an expression.
Answers
The expression that can be used to represent the total money earned is $12x - $15.
What expression represents the total amount earned?
The first step is to determine the total amount earned this wek. This can be determined by multiplying the earnings per hour by the total hours/
Total earnings = $12 ×x = $12x
Now subtract the late delivry charge = $12x - $15
To learn more about mathematical expressions, please check: https://brainly.com/question/11980704
Answer:
12x-15
Step-by-step explanation:
khan
evaluate the following expression
(a+b)^0
Answers
1
Make a scatter plot of the data pairs, (year, revenue). Draw a trend line and write its equation. Predict the revenue of US theme parks in 2012. Someone help me please.
Answers
i think its 9.9 but if its not that its 8.7
The revenue of US theme parks in 2012 is 14.5 in dollars.
What is scatter plot?Scatter plots are used to observe and plot relationships between two numeric variables graphically with the help of dots. The dots in a scatter plot shows the values of individual data points.
From the given table, (1990, 5.7), (1992, 6.5), (1994, 7.0), (1996, 7.9), (1998, 8.7), (2000, 9.6), (2002, 9.9), (2004, 10.8), (2006, 11.5).
Using the coordinates (1990, 5.7) and (1992, 6.5), we get
Slope m=(6.5-5.7)/(1992-1990)
= 0.8/2
= 0.4
Substitute m=0.4 and (x, y)=(1990, 5.7) in y=mx+c, we get
5.7=0.4×1990+c
c=5.7-796
c=790.3
Substitute m=0.4 and c=-790.3 in y=mx+c, we get
y=0.4x-790.3
Substitute x=2012, we get
y=0.4×2012-790.3
y=804.8-790.3
y=14.5
Therefore, the revenue of US theme parks in 2012 is 14.5 in dollars.
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A restaurant sends customers in their loyalty program a coupon for a free birthday dessert. Suppose that 8\%8%8, percent of the children and 12\%12%12, percent of the adults redeem their coupons. The restaurant takes separate random samples of 100100100 children and 909090 adults from their loyalty program to see the difference between the sample proportions (\hat{p}_\text{C}-\hat{p}_\text{A})( p ^ C − p ^ A )left parenthesis, p, with, hat, on top, start subscript, start text, C, end text, end subscript, minus, p, with, hat, on top, start subscript, start text, A, end text, end subscript, right parenthesis. What will be the shape of the sampling distribution of \hat{p}_\text{C}-\hat{p}_\text{A} p ^ C − p ^ A p, with, hat, on top, start subscript, start text, C, end text, end subscript, minus, p, with, hat, on top, start subscript, start text, A, end text, end subscript, and why?
Answers
Using the Central Limit Theorem, it is found that the sampling distribution will be approximately normal, with mean of -0.04 and standard error of 0.0423.
What does the Central Limit Theorem state?It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex]It also states that when two variables are subtracted, the mean is the subtraction of the means, and the standard deviation is the square root of the sum of the variances.In this problem, for each sample, the mean and the standard error are given by:
[tex]p_C = 0.08, s_C = \sqrt{\frac{0.08(0.92)}{100}} = 0.0271[/tex]
[tex]p_A = 0.12, s_A = \sqrt{\frac{0.12(0.88)}{100}} = 0.0325[/tex]
Then, for the distribution of differences, we have that:
[tex]p = p_C - p_A = 0.08 - 0.12 = -0.04[/tex]
[tex]s = \sqrt{s_C^2 + s_A^2} = \sqrt{0.0271^2 + 0.0325^2} = 0.0423[/tex]
The sampling distribution will be approximately normal, with mean of -0.04 and standard error of 0.0423.
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find c! please explain the steps and help me find the answer.
Answers
Answer:
34.78
Step-by-step explanation:
using cosine rule
AB^2 = CB^2 + AC^2 -2(CB × AC × COS C)
18^2 = 17^2 + 27^2 -2(27×17×COS C)
324= 289+729- 918COSC
324-289-789= -918COSC
-754= -918COSC
COS C = 754/918
COS C = 0.82135076253
C= arccos(0.82135076253)
C= 34.78(2 dp)
PLease help me!!!! (:
You' ll get brainliest!!!!
Answers
Answer:
The last one
Step-by-step explanation:
The last one is the only one in standard form.
colby and jaquan are growing bacteria in an experiment in a laboratory. colby starts with 50 bacteria in his culture and the number of bacteria doubles every 2 hours. jaquan start with 80 of a different type of bacteria that doubles every 3 hours
Answers
Step-by-step explanation:
so, what is the question ?
all you are giving us here are some facts about what's going on. but what is the goal ? what do we need to find out ?
is it when the bacteria cultures have the same population ?
I assume that for my following answer :
"once every 2 hours" can be expressed by "x/2". with x being hours. so, instead of "x", which would mean "once every hour", we use "x/2".
"doubles (once) every 2 hours" is then
2×2×2×...×2 doubles on how many units of 2 hours we have.
this is
2^(x/2)
this is the factor we need to multiply with everything we want to behave that way (to double in size every 2 hours).
in our case here : 50 bacteria.
so, Colby's bacteria culture function is
c(x) = 50 × 2^(x/2)
similar for jaquan:
j(x) = 80 × 2^(x/3)
as his culture doubles every 3 hours.
now for the assumed question, when will both cultures have the same population ?
it is for that value of x that makes both function to deliver the same functional result.
50 × 2^(x/2) = 80 × 2^(x/3)
5 × 2^(x/2) = 8 × 2^(x/3)
now we use the log2 function on both sides and get
log2(5 × 2^(x/2)) = log2(8 × 2^(x/3))
remember the laws of logarithm. particularly
log(a×b) = log(a) + log(b)
and
loga(b) = logc(b)/logc(a)
log2(5) + log2(2^(x/2) = log2(8) + log2(2^(x/3)
log2(5) + x/2 = log2(8) + x/3 = 3 + x/3
3×log2(5) + 3x/2 = 9 + x
2×3×log2(5) + 3x = 2×9 + 2x
6×log2(5) + 3x = 18 + 2x
x = 18 - 6×log2(5) = 18 - 6×ln(5)/ln(2) = 4.068431431... hours
so, after a little bit more than 4 hours both bacteria cultures reach the exact same number of population : 204.8
which is, of course, only theoretical, as there cannot be "part bacteria" in the cultures.
now, we could calculate the x for when c(x) = 204, and the x for when c(x) = 205.
and then the same for j(x) and then see if or what overlap between these two x intervals there is.
during this overlap period both cultures will have the same (whole number) amount of bacteria.
but I think this is a topic for another question, as I am not even sure that I addressed the true original question.
Select the correct answer from each drop-down menu. To find the average grades scored by students in science and math, the principal of a school sends a questionnaire to the top five students in each grade of the high school. Is the sample used by the principal random? Will a generalization from this sample be valid? The sample used by the principal is. A generalization made from this sample is.
Answers
Answer:
a) This is not a random sample
b) The generalization from this sample would not be valid
Step-by-step explanation:
No the sample is not random. If the questionnaire would had been send to any five students in a class irrespective of whether they are among the top five, then the sample could be referred as random sample.
The marks of top five students in any grade would give an average value that will be an outlier to the average of marks of all students with in a grade.
Hence, the generalization from this sample would not be valid
Two girls scout troops are completing a wilderness campout. Use the information to answer the questions. The Blue Tripp hikes 2/3 mile every 1/2 hour. The Yellow Troop hikes 3/4 mile every 1/3 hour. How long does it take each troop to walk 1 1/2 miles, 1/2 mile, and 3/4 mile?
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Blue tripp:
Hikes 2/3 miles every 1/2 hour
Yellow troop:
Hikes 3/4 miles every 1/3 hour
How long does it take each troop to walk 1 1/2 miles, 1/2 mile, and 3/4 mile?
To hike 1 1/2 miles
Blue troop:
2/3 miles = 1/2 hours
3/2 miles = x
2/3x = 3/4
x = 3/4 * 3/2
x = 9/8 = 1 1/8 hours
Yellow troop:
3/4 = 1/3 hours
3/2 = x
3/4x = 3/6
x = 3/6 * 4/3
x = 12/18 = 2/3 hours
To hike 1/2 mile :
Blue troop:
2/3 miles = 1/2 hours
1/2 miles = x
2/3x = 1/4
x = 1/4 * 3/2
x = 3/8 hours
Yellow troop:
3/4 = 1/3 hours
1/2 = x
3/4x = 1/6
x = 1/6 * 4/3
x = 4/18 = 2/9 hours
To hike 3/4 miles :
Blue troop:
2/3 miles = 1/2 hours
3/4 miles = x
2/3x = 3/8
x = 3/8 * 3/2
x = 9/16 hours
Yellow troop:
3/4 = 1/3 hours
3/4 = x
3/4x = 3/12
x = 1/4 * 4/3
x = 4/12
x = 1/3 hours
The beginning balance in a checking account is $64.98.
After a deposit of $73.87 and two withdrawals of $51.00 and $23.50, what is the balance?
O $189.85
O $138.85
O $87.85
O $64.35
Answers
Answer:
D) 64.35
Step-by-step explanation:
Please rate and mark as brainlest.
If I have $6600 after investing $6000 for 5 years, what was the rate? (Write as a percent.)
Answers
Answer:
10%
Step-by-step explanation:
6600-6000=600
You've earned $600
600/6000 = 1/10 or 10%
Answer:
1.925%
Step-by-step explanation:
to check, use the equation [tex]6000(1+.01925)^5[/tex]
this gives us the value of 6600.16.
please rate 5 stars and mark as brainlest.
Express as a sum
1) a-5
2) m-n
Express as a difference
1) 7+3
2) a+5
Answers
Answer:
I think it would be
Sums
1) a + -5
2) m + -n
Differences
1) 7 - -3
2) a - -5
Step-by-step explanation:
Geometry help!!!!!!!
Answers
Answer:
[tex]\huge\boxed{\text{The polygons are NOT similar}}[/tex]
Step-by-step explanation:
Because triangle DBC has an angle of measure 49°, and triangle IHJ does not, the polygons are not similar.
Hope it helps :) and let me know if you want me to elaborate.
A triangle has two sides of length 11 and 12. What is the smallest possible whole-number length for the third side?
Answers
Answer: 2
To maximize the length of the third side, which I'll call x, it needs to be one of the two shorter sides.
So by the triangle inequality theorem, 11+x>12 meaning the minimum whole number value of x is 2.
Rewrite in simplest term: 3(-7h-4)+4(h-6)
Answers
Answer:
-17h-36
Step-by-step explanation:
mutiply 3 by each terms inside the parenteses
you will get:
-21h-12+4h-24
-17h-36
Serenity is moving and must rent a truck. There is an initial charge for the rental plus
a fee per mile driven. The total cost of renting the truck can be modeled by the
equation C = 50 +2.75m, where m is the number of miles driven. What is the y-
intercept of the equation and what is its interpretation in the context of the problem?
Answers
Answer:
The y-intercept of the equation is 50
Its interpretation in the context is " the initial charge for the rental "
Step-by-step explanation:
The linear relationship can be represented by the equation
y = a x + b, where
a is the slope ( the rate of change)b is the y-intercept (initial amount, or fixed amount, or the amount of y at x = 0)∵ Serenity is moving and must rent a truck
∵ There is an initial charge for the rental
∴ b represents the initial charge for the rental
∵ There is a fee per mile driven
∴ a represents the fee per mile driven
∵ The equation represents this situation is C = 50 + 2.75 m
∵ C is the total cost
∵ m is the number of miles driven
→ Compare it with the form of the equation above
∴ a = 2.75
∴ b = 50
∵ b is the y-intercept
∴ The y-intercept of the equation is 50
∵ b represents the initial charge for the rental
∴ The initial charge for the rental is $50
∴ Its interpretation in the context is " the initial charge for the rental "
Find the total surface area of this triangular prism.
10 cm
6 cm
4 cm
8 cm
Answers
Answer:
144cm^2
Step-by-step explanation:
0.5x8x6x2=48cm^2
8x4=32cm^2
10x4=40cm^2
6x4=24cm^2
=(48+32+40+24)cm^2
=144cm^2
A number cube is rolled in an experiment, and the frequency of each different roll is recorded. Image_8308 What is the experimental probability of getting a 4 or a 6?.
Answers
Using it's concept, it is found that the experimental probability of getting a 4 or a 6 is of 0.2833 = 28.33%.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
For an experimental probability, these numbers of outcomes are taken from previous trials.
Researching the problem on the internet, it is found that the image gives that 13 + 11 + 9 + 8 + 10 + 9 = 60 trials, 8 + 9 = 17 resulted in a 4 or a 6, hence the probability is given by:
p = 17/60 = 0.2833.
More can be learned about probabilities at https://brainly.com/question/14398287
Bill wants to order new jerseys for his baseball team. He has found two different companies and needs to determine which one is the better deal for his team. PRINT IT sells jerseys for $21.0 each. TOP PRINT a onetime set up cost of $45.0 and jerseys for $18.0 each. A. Write a system of equations for this situation.
Answers
Answer:
[tex]Cost = 21.0j[/tex] --- PRINT IT
[tex]Cost = 45.0 +18.0j[/tex] --- TOP PRINT
Step-by-step explanation:
Given
Print IT & Top Print
Represent the number of jerseys with j.
For PRINT IT.
[tex]Cost=\$21.0[/tex] per jersey
For Top Print
[tex]Base\ Amount = \$45.0[/tex]
[tex]Cost = \$18.0[/tex] per jersey.
j jerseys with PRINT IT will cost: [tex]21.0 * j[/tex]
[tex]Cost = 21.0 * j[/tex]
[tex]Cost = 21.0j[/tex]
j jerseys with TOP PRINT will cost: [tex]45.0 +18.0 * j[/tex]
[tex]Cost = 45.0 +18.0j[/tex]
PLEASE HELP!!! Find the equation of this line. All three answers please!!!
Answers
Answer:
[tex]y=-\frac{3}{4}x+3[/tex]
Step-by-step explanation:
formula for the gradient is [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1}}[/tex]
we insert our intercepts to get [tex]\frac{0-3}{4-0}=\frac{-3}{4}[/tex]
and our y-intercept (where the line crosses the y-axis) is 3
y=-axtb
a = tanx
DA
tant=
OB
=
I simple
slope
Itangent
Terrible
Ask online
calculation!
Please help me asap if can!!!
Answers
Answer:
Step-by-step explanation:
2m in height : 11m in length
300m in length: 1650m in length
This is because you multiply each side by 150.
The horizontal length will be 1650m.
b) I'm so sorry. I'm in year 9 so I don't think I've learnt this. I think it might be tan. :)
8.55 l=_______ml ?
Help
Answers
Answer:
8550
Step-by-step explanation:
Which of the following represents the fastest speed in miles per hour?
a. 8 miles in ⅙ hour b. 10 miles in ⅕ hour c. 6 miles in ⅐ hour
Answers
Answer:
b,
Step-by-step explanation:
8 miles in 1/6 hour 8*6=48 mph
10 miles in 1/5 hour 10*5=50 mph
6 miles in 1/7 hour 6*7 = 42 mph
Solve the inequality
9-4r>5
Answers
[tex]9 - 4r > 5[/tex]
Plus sides 4r
[tex]9 - 4r + 4r > 5 + 4r[/tex]
[tex]9 > 4r + 5[/tex]
Subtract sides -5
[tex]9 - 5 > 4r + 5 - 5[/tex]
[tex]4 > 4r[/tex]
[tex]4r < 4[/tex]
Divided sides by 4
[tex] \frac{4}{4}r < \frac{4}{4} \\ [/tex]
[tex]r < 1[/tex]
_________________________________
Done♥️♥️♥️♥️♥️
Answer:
[tex]\boxed{\sf{r < 1}}[/tex]Step-by-step explanation:
[tex]\boxed{\underline{\text{SOLVING AN INEQUALITY}}}[/tex]
Given:
The inequality must be solved.
The process of solving an inequality consists of determining the values of the variable that make the statement true.
The definition of inequality is where one quantity is greater than or less than another.
Solutions:
9-4r>5First, subtract by 9 from both sides.
[tex]:\Longrightarrow \sf{9-4r-9 > 5-9}[/tex]
Solve.
5-9=-4
-4r>-4
Multiply by -1 from both sides.
[tex]\Longrightarrow: \sf{\left(-4r\right)\left(-1\right) < \left(-4\right)\left(-1\right)}[/tex]
Solve.
4r<4
Divide by 4 from both sides.
4r/4<4/4
Solve.
4/4=1
[tex]\Longrightarrow: \boxed{\sf{r < 1}}[/tex]
Therefore, the final answer is r<1.I hope this helps, let me know if you have any questions.
Learn more about how to solve inequality:
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n - Are x = 4 and y = 8 solutions of the equation: y = x² - 2x + 1? Circle: Yes or No
Answers
Answer:
No
Step-by-step explanation:
put 4 where x is and 8 where y is
y = x² - 2x + 1
does
8 = 4^2 -2(4) + 1
8 = 16 -8 + 1
8 = 9
Does 8 = 9 ?
No
Evaluate the expression shown for x=12 -5/6x +7
Answers
Answer:-3
Step-by-step explanation:
Look at the photo.
Simplify
I don’t get this subject
Answers
Answer: 3
You're going to multiply 3 by 2 which gives you 6. you then have 6 over 2. Next find a number that goes into both of them which is 2 in this case. So now you divide the top and bottom by 2, so now you have 3 because two divided by two is zero, that is as small as it gets.
x-y=1 solve by substitution
Answers
Answer:
2-1
Step-by-step explanation: