Write an explicit formula for the nth term or the sequence 8,-24, 72
Answer:
[tex]T_n =-\frac{8}{3} (-3)^{n}[/tex]
Step-by-step explanation:
Given
[tex]Sequence: 8, -24, 72[/tex]
Required
Determine the n term
The above sequence is geometric. So, we calculate the common ratio first:
[tex]r = \frac{T_2}{T_1}[/tex]
[tex]r = \frac{-24}{8}[/tex]
[tex]r = -3[/tex]
The equation is then calculated using:
[tex]T_n = ar^{n-1}[/tex]
Where
[tex]a = T_1 = 8[/tex]
and
[tex]r = -3[/tex]
The equation becomes:
[tex]T_n =8 * (-3)^{n-1}[/tex]
Apply law of indices:
[tex]T_n =8 * (-3)^{n} * (-3)^{-1}[/tex]
[tex]T_n =8 * (-3)^{n} * \frac{1}{-3}[/tex]
[tex]T_n =-8 * (-3)^{n} * \frac{1}{3}[/tex]
[tex]T_n =-\frac{8}{3} * (-3)^{n}[/tex]
[tex]T_n =-\frac{8}{3} (-3)^{n}[/tex]
Decide which method of data collection you would use to collect data for the study. Specify either observational study, experiment, or simulation. A study where a political pollster wishes to determine if his candidate is leading in the polls for an upcoming election. Question options: simulation observational study experiment
Answer:
Observational study
Step-by-step explanation:
Observational studies usually requires the comparing the outcome or behavior of two or more subjects involved. In the scenario described above, the need to perform any experiment or simulation to make prediction. Once the polls is in progress, the outcome or result of the polls in polling centre's only need to be observed and noted.
Answer:
D
Step-by-step explanation:
Edge 2021
Need help on math question 20 points and brainlest
Answer:
Im pretty sure the answer is 3.75
Im im wrong im sorry
Answer:
3.75 cm
Step-by-step explanation:
4. Write the equation of the line shown in the graph below. I
Answer:
y=2x-1
Step-by-step explanation:
Answer: y= -1 +2x
Step-by-step explanation:
you go with the minus one because thats where it intecepts y and you go with 2x because thats the slope it is going up 2 on y for every 1 on the x
What is 6 times the amount of water and liquid?
Answer:
6 time the amount of a liquid is 7
: 5 times the difference of x and 4.
Answer:
i think -6 but idek
Step-by-step explanation:
Leon was in line to buy a saw on sale for 25% off the original price of $198. When he got to the register, he remembered he had a coupon for an additional 10% off.
How much did the saw cost after the discounts?
Answer:
133.65
Step-by-step explanation:
198 - 49.5=148.50
145.50 - 14.85= 133.65
What is the y-intercept of the line: y= -3x subtract 12?
Answer:
the Y intercept of the line would be -12
Step-by-step explanation:
in a linear equation like that for example, any equation that is formed as: y=mx+b would always have B as it's y intercept, and since your equation is y=-3x-12 than your y intercept would be -12!
what is the GCF of 8,12,16
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
4 * 2 = 8
4 * 3 = 12
4 * 4 = 16
A company that manufactures video cameras produces a basic model and a deluxe model. Over the past year, 50% of the cameras sold have been of the basic model. Of those buying the basic model, 34% purchase an extended warranty, whereas 47% of all deluxe purchasers do so. If you learn that a randomly selected purchaser has an extended warranty, how likely is it that he or she has a basic model
Answer:
0.4198 = 41.98% probability that he or she has a basic model
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Extended warranty
Event B: Basic model
Probability of extended warranty:
34% of 50%(basic model)
47% of 100 - 50 = 50%(deluxe model). So
[tex]P(A) = 0.34*0.5 + 0.47*0.5 = 0.405[/tex]
Intersection of events A and B:
34% of 50%(basic model with extended warranty). So
[tex]P(A \cap B) = 0.34*0.5 = 0.17[/tex]
How likely is it that he or she has a basic model
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.17}{0.405} = 0.4198[/tex]
0.4198 = 41.98% probability that he or she has a basic model
Rebecca is making halloween costumes. She pays $6.72 for 3 yards of fabric. What is the unit cost of the fabric?
Answer:
$2.24
Step-by-step explanation:
To find the unit cost, you divide 6.72 by 3, which is 2.24.
y + 8 = 2
How do you show your work for this problem ?
Answer:
-6
Step-by-step explanation:
y+8=2
-8. -8 -> subtract 8 to leave y by itself
y=-6
Answer: Well you have to subtract 8 from both sides so 8-8 crosses off 2-8 equals -6 so y equals -6.
Step-by-step explanation:
Hope it helps! Mark me brainliest.
Please help find the slope!
number 4 is the slope
what is 3(t+2v) ?? Please and thank you
Find the length of the third side. If necessary, round to the nearest tenth.
15
20
Answer:
Step-by-step explanation:
Use the bar diagram to model the situation. Then write and solve an equation.
A family has bags of popcorn in their cabinet. Each bag of popcorn has kernels in it. How many kernels of popcorn are in the cabinet?
LOADING... Click the icon to view the bar diagram.
Let s be the number of kernels of popcorn in the cabinet.
The equation
nothing represents this situation.
(Use the operation symbols in the math palette as needed. Do not perform the calculation.)
Answer:
LOADING...................................
Step-by-step explanation:
HELP ASAP!! I need help thanks!!
Answer:
vertices
Step-by-step explanation:
I looked at stuff at it says vertices
Answer:
I think option 3rd is correct the vertices.
Step-by-step explanation:
B is joining the D and C together.
Evaluate the expression when a=−15 and b=−5.
Answer:
-3/5
Step-by-step explanation:
(b + 14)/a = ((-5) + 14)/(-15) = -9/15 =-3/5
Gianna uses 100 stamps each day for her business. If she begins each day with 100 stamps, and after each package that is shipped has 4 less stamps, how many stamps would Gianna have left after 6 packages? Which of the following choices is the correct pattern?
a. 100, 104, 108, 112, 116, 120, 124
b. 100, 90, 80, 70, 60, 50, 40
c. 100, 96, 92, 88, 84, 80, 76
d. None of these choices are correct.
Answer:
c.
Step-by-step explanation:
The pattern is supposed to be -4.
Gianna has 76 stamps left after 6 packages and pattern of decreasing stamps can be calculated as 100, 96, 92, 88, 84, 80, 76. Hence option c is correct
Gianna uses 100 stamps each day for her business. If she begins each day with 100 stamps, and after each package that is shipped has 4 less stamps,
What is arithmetic?
In mathematics it deals with numbers of operations according to the statements.
As per question, after each package that is shipped has 4 less stamps.
Now, for nth term of an arithmetic progression.
nth term = a + nd
Here, we have a = 100, d = -4 and n = 6
So after 6th package shipped the number of stamps left.
= 100 - 6 x 4
= 76
And pattern of decreasing stamps can be calculated as 100, 96,92,88,84,80,76.
Thus, Gianna has 76 stamps left after 6 packages and pattern of decreasing stamps can be calculated as 100, 96,92,88,84,80,76.
Learn more about arithmetic here:
brainly.com/question/14753192
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pwease answer dis for me pweez, show work too..... :((
Answer:
It does show direct variation.
Step-by-step explanation:
Every hour, you receive $8.50. This doesn't change throughout the entire table. On a graph, this would look like a line going through the origin, with points at (1, 8.5). (2, 17), (3, 25.5), and so on.
If B=p+ 6 and C = 3p – 2, find an expression that equals 3B - C in standard
form.
The expression that is equal to 3B - C in standard form is 2.0 × 10¹
Evaluating an expressionFrom the question, we are to determine the value of the expression
The given expression is
3B - C
From the given information,
B = p + 6
and
C = 3p - 2
Putting the the values of B and C into the expression, we get
3B - C = 3(p + 6) - (3p -2)
= 3p + 18 -3p + 2
= 3p - 3p + 18 + 2
= 20
= 2.0 × 10¹
Hence, the expression that is equal to 3B - C in standard form is 2.0 × 10¹
Learn more on Evaluating an expression here: https://brainly.com/question/2251084
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How do write an equation in slope intercept form
Answer:
y-y1=m(x-x1)
Step-by-step explanation:
y stays as y and x stays as x, but y1, and x1, are your coordinates you use.
two friends are collecting stuffed animals Veronica has 5 more than double the number of stuffed animals as their friend Marissa together they have 32 stuffed animals if M represents the number of stuffed animals Marissa has write an equation to represent the number of Veronica stuffed animals
Answer:
M x 2 + 5 = 32
Step-by-step explanation:
hope this helped if so please press the pink "thanks" button
WILL MARK BRAINLYIST
Answer:
C
Step-by-step explanation:
Hope it helps!
Find 142.1% of 469.6. Round to the nearest thousandth.
Answer:
667.302???
Step-by-step explanation:
I tried my best but I don't know if it's right though
-9 - 3x4 pls show work
Answer:
3
Step-by-step explanation:
3x4 is 12 and then you subtract them from each 9ther
Help ;(
Solve for x and y
Step-by-step explanation:
this is the answer of the required questions
thank you
Grocery store scales are occasionally checked by inspection agencies for their accuracy in reporting the weights of purchased merchandise. Scales are allowed to operate as long as the percent error of their reported weights is within 0.5% of the actual weight measured. If you wanted to purchase 15.0 pounds of flour, what range of weights is the scale allowed to report in order to be compliant with local inspection agency regulations.
Answer:
The range of weights in the scale allowed to report in order to be compliant with local inspection agency regulations is between 14.925 pounds and 15.075 pounds.
Step-by-step explanation:
The weights should be within 0.5% of the actual weight measured.
15.0 pounds
0.005*15 = 0.075
Tolerance of 0.075 pounds
15 - 0.075 = 14.925 pounds
15 + 0.075 = 15.075 pounds
The range of weights in the scale allowed to report in order to be compliant with local inspection agency regulations is between 14.925 pounds and 15.075 pounds.
What is the answer ?
Don’t understand how to do this can somebody explain and answer, need badly
