Find the 10th term in each sequence 40, 10, 5/2, 5/8,...
Answers
9514 1404 393
Answer:
5/32768
Step-by-step explanation:
This sequence does not have a common difference, but does have a common ratio of r = 10/40 = 1/4. The first term is a1 = 40.
The general term of a geometric sequence is ...
an = a1·r^(n-1)
Then the 10th term is ...
a10 = 40·(1/4)^(10 -1) = 40/4^9 = 5/32768
Related Questions
Graph the image of M(
–
9,1) after a rotation 270° counterclockwise around the origin.
Answers
Hope this helps!
A new treatment for depression involves a one month stay on a Caribbean island and daily therapy sessions with a team of 8 professionals. A researcher knows that people with untreated depression miss an average of μ = 4.30 days of work per month (σ = 1.1). It was found that a random sample of 121 depressed individuals who underwent the new treatment missed an average of M = 4.08 days of work per month following treatment. Thus, the research question is: what is the impact of this treatment on absenteeism (i.e., days missed from work)?
Answers
Answer:
A
Step-by-step explanation:
The price of administration at the zoo is $8.00. Today’s special is 20% off the price of each ticket. What is the price now?
Answers
no tax:
final price: 67.84
savings: 16.96
with tax:
final price: 64
savings: 16
(hope it helps- )
Your revenue (in dollars) for selling x hamburgers is given by f(x) = 5x and your profit is $20 less than 70% of the revenue. What is your profit for 24 sales?
Answers
The profit for 24 sales is $64.
The profit for 24 sales, we first need to calculate the revenue and then determine the profit based on the given information.
The revenue function is given as f(x) = 5x, where x represents the number of hamburgers sold.
To find the revenue for 24 sales, we substitute x = 24 into the revenue function:
Revenue = f(24)
= 5 × 24
= 120 dollars
Now, let's calculate the profit.
The profit is $20 less than 70% of the revenue.
We can express this mathematically as:
Profit = 0.7 × Revenue - $20
Substituting the value of Revenue we calculated earlier:
Profit = 0.7 × 120 - $20
= 84 - $20
= $64
We must first compute the revenue for 24 sales before calculating the profit based on the available data.
The revenue function is denoted by the formula f(x) = 5x, where x is the quantity of hamburgers sold.
We add x = 24 to the revenue function to get the revenue for 24 sales:
f(24) = 5 x 24 = 120 dollars is the revenue.
Let's now determine the profit.
The profit is $20 below the revenue's 70%.
This may be written mathematically as:
Revenue - $20 x Profit = 0.7
Substituting the earlier determined figure of Revenue:
Earnings = 0.7 x 120 - $20 = 84 - $20 = $64
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Help fast plz 2. (04.01 LC)
Which set of ordered pairs represents a function? (1 point)
O (o, 1), (1, 3), (1, 5). (2, 8))
O (0, 0), (1, 2), (2, 6), (2, 8)}
O {(0, 0), (0, 2), (2, 0), (2, 4)}
O (o, 2), (1, 4), (2, 6), (3, 6)}
Answers
Answer:third option did test got it right
Step-by-step explanation:
Turner’s backyard deck cost $38.31 per square meter to build. The deck is 9 meters wide and 11 meters long. How much did it cost to build the deck?
Answers
Answer:
$3792.69
Step-by-step explanation:
First, we would find the area,
Area = width x length
Area = 9 x 11
Area = 99\(m^{2}\)
Since each square meter costs $38.31, we would multiply the cost with the area,
Total Cost = 99 x 38.31
Total Cost = $3792.69
(Anyone can correct me if I'm wrong)
A _____ is a solid consisting of a suite a point not in the same plane as the square and all points between them
Answers
Answer:
Square Pyramid
Step-by-step explanation:
Thats what a Square Pyramid is
Determine the measure of the missing angle in the figure below.
DRAG & DROP THE ANSWER
90
45
75
Missing angle:
Answers
Answer:
Step-by-step explanation:
mark has a board that is 12 feet long he cuts the board into 8 peices that are the same lenght. how long is each peice
Answers
Answer: So, all you have to do is divide in this situation. He starts with a board that is 12 feet long, keep that in mind. If he cuts that into 8 pieces it's like he is dividing. So 12 divided by eight or 12/8 would be 1.5. Your answer is that each piece would be 1.5ft long.
determine which of the equations below could be the class equation given in the proof of theorem 24.2. for each part, provide your reasoning. a. 9 5 3 1 3 1 3 b. 21 5 1 1 1 1 3 1 3 1 3 1 3 1 7 c. 10 5 1 1 2 1 2 1 5 d. 18 5 1 1 3 1 6 1 8
Answers
The class equation is if G is a nontrivial finite group whose order is a power of a prime p, is the centralizer of G, and is the centralizer of the element a. (1) Here, the sum runs over representatives of all conjugacy classes that have more than one element.
How can the class equation be found?The commutativity degree, which indicates the likelihood that two members of a group will commute between themselves, is related to the class equation in group theory [3]. The definition is as follows: d ( G ) = | { ( a , b ) ∈ G 2 ∣ a · b = b · a } | | G | 2 .
How can the equation for the class be found?In group theory, there is a connection between the class equation and the commutativity degree, which indicates the likelihood that two members of a group will commute between themselves [3]. The following is the definition: d ( G ) = | { ( a , b ) ∈ G 2 ∣ a · b = b · a } | | G | 2 .
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What is the constant?
Answers
Hopefully this is correct
Polygon ABCD with vertices at A(−4, 6), B(−2, 2), C(4, −2), and D(4, 4) is dilated using a scale factor of three fifths to create polygon A′B′C′D′. If the dilation is centered at the origin, determine the vertices of polygon A′B′C′D′.
A′(5.8, −3), B′(1.6, −1.5), C′(−1.6, 3), D′(2.5, 3)
A′(−12, 18), B′(−6, 6), C′(12, −6), D′(12, 12)
A′(2.4, −3.6), B′(1.2, −1.2), C′(−2.4, 1.26), D′(−2.4, −2.4)
A′(−2.4, 3.6), B′(−1.2, 1.2), C′(2.4, −1.2), D′(2.4, 2.4)
Answers
If the dilation is centered at the origin, determine the vertices of polygon A′B′C′D′ are: D. A′(−2.4, 3.6), B′(−1.2, 1.2), C′(2.4, −1.2), D′(2.4, 2.4).
What is dilation?In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.
Next, we would have to dilate the coordinates of the preimage by using a scale factor of 3/5 centered at the origin as follows:
Ordered pair A (-4, 6) → Ordered pair A' (-4 × 3/5, 6 × 3/5) = Ordered pair A' (-2.4, 3.6).
Ordered pair B (-2, 2) → Ordered pair B' (-2 × 3/5, 2 × 3/5) = Ordered pair B' (-1.2, 1.2).
Ordered pair C (4, -2) → Ordered pair C' (4 × 3/5, -2 × 3/5) = Ordered pair C' (2.4, -1.2).
Ordered pair D (4, 4) → Ordered pair D' (4 × 3/5, 4 × 3/5) = Ordered pair D' (2.4, 2.4).
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HELP MEHHHH! I WILL MARK YOU BRAINLIEST! I NEED AN EXPLANATION
Answers
This illustrates the rule of large numbers, according to which the sample mean approaches the population mean as the sample size rises.
what is probability ?The likelihood or chance of an occurrence occurring is measured by probability. It is expressed as a number between 0 and 1, with 0 denoting impossibility and 1 denoting certainty of the occurrence. Additionally, probabilities can be stated as percentages, with 0% denoting an improbable event and 100% denoting a specific event. By dividing the number of favourable outcomes by the total number of potential outcomes, the probability of an occurrence is determined.
given
Since there are six potential outcomes and only one of them is a 5, the theoretical probability of rolling a 5 on a fair die is 1/6.
Mya's experimental chance of rolling a 5 after 100 trials is 25/100, which can be expressed as 1/4. Her experimental probability after 200 attempts is 30/200, which can be expressed as 3/20.
This implies that the experimental probability moves closer to the theoretical probability as the number of trials rises.
In other words, Mya's experimental findings get closer to the anticipated theoretical probability the more times she rolls the die.
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The complete question is :- Communicate and Justify Mya rolls a fair die and counts the number of times she rolls a 5. She rolls a 5 on 25 of the first 100 trials. She rolls a 5 on 30 of the first 200 trials. Compare the experimental probability to the theoretical probability after 100 trials and 200 trials. What do you notice? Explain.
Plot the image of point A under a dilation about point P with a scale factor of 3.
Answers
Answer:
THere is no image do da
Step-by-step explanation:
2. One card is selected at
random from a standard
deck of 52 cards. The card
is not replaced, and then
another card is selected.
What is the probability that
the first card chosen is a
king and the second card
chosen is a queen?
Answers
Answer:selecting 6 or 7 in the first draw and 8 or 9 in the second draw, no replace?
Step-by-step explanation:What is the probability of selecting a king from the first card and a queen from the second ... Originally Answered: Two cards are drawn successively from a pack of 52 cards. ... I. With replacement : Probability that the first card drawn is a king is . ... of selecting 6 or 7 in the first draw and 8 or 9 in the second draw, no replace?
The ratio of cats to dogs at the park was 5:7 if there were 60 total how many were dogs
Answers
Answer:
5
Step-by-step explanation: i think its right but you need to add the 5 and 7, and i divided it by the amount total, :)
5 : 7
You add both up which is = 12
So 60 in total and you divide by 12
60 divide 12= 5
5 x5 = 25 cats
7x5= 35 dogs
Kylie is planning to attend a private university after she graduates from high school and three years she is diverging a plan to save money each month to help with the expenses to attend the University the cost of attending the private university for 1 year is 15000 her family has promised to contributions 7000 each year she is in school which plan shows the minimum amount of money she must contribute to a baby to have enough money to pay for the first year
Answers
Answer:
The plan that shows the minimum amount of money she needs to contribute to her savings to have enough money to pay for her first year is;
Explanation:
Given that the cost of attending the private university for 1 year is 15000.
\(\text{ \$15,000}\)her family has promised to contributions 7000 each year.
\(\text{ \$7,000}\)The remaining amount she need to save for each year is is;
\(\begin{gathered} \text{ \$15,000 - \$7,000} \\ \text{ \$8,000} \end{gathered}\)To have enough money for her first year she needs to save up $8,000.
From the options let us find the saving plan that gives the minimum amount of $8,000.
$222.22 per month for 3 years;
\(\begin{gathered} T=\text{ \$222.22}\times12\times3 \\ T=\text{ \$7999.92} \\ T\approx\text{ \$8,000} \end{gathered}\)Therefore, the plan that shows the minimum amount of money she needs to contribute to her savings to have enough money to pay for her first year is;
Ganesh is making a scale model of the Space Needle in Seattle, Washington. The space needle is 605 feet tall. If the model is 1/100 the actual size of the Space Needle, how tall is the model? _____ feet
Answers
Answer:
\(Model = 6.05ft\)
Step-by-step explanation:
Given
\(Space\ Needle = 605ft\)
\(Scale\ Model = \frac{1}{100}\)
Required
Determine the height of the model.
To do this, we simply multiply the scale model by the height of the space needle.
\(Model = Scale\ Model * Space\ Needle\)
\(Model = \frac{1}{100} * 605ft\)
\(Model = \frac{605ft}{100}\)
\(Model = 6.05ft\)
Hence, the height of the model is 6.05ft
Divide: 7 5/6 ÷ 2/3 need help
Answers
To divide a mixed number by a fraction, we need to convert the mixed number into an improper fraction and then multiply it by the reciprocal of the fraction.
Step 1: Convert the mixed number to an improper fraction:
7 5/6 = (6 * 7 + 5) / 6 = 47/6
Step 2: Multiply the improper fraction by the reciprocal of the fraction:
47/6 ÷ 2/3 = 47/6 * 3/2
Step 3: Simplify the fraction if possible:
47/6 * 3/2 = (47 * 3) / (6 * 2) = 141/12
Step 4: Simplify the fraction further, if necessary:
141/12 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:
141/12 = (141 ÷ 3) / (12 ÷ 3) = 47/4
Therefore, 7 5/6 ÷ 2/3 is equal to 47/4 or 11 3/4.
If 1=3
2=3
3=5
4=4
5=4
Then, 6=?
Answers
Based on inductive reasoning, if 1 = 3, 2 = 3, 3 = 5, 4 = 4, 5 = 4, then 6 is equal to 3.
What is inductive reasoning?Inductive reasoning can be defined as a process that involves drawing and arriving at a general conclusion (conjecture), especially by critically observing a pattern that's based on a sequence or specific instances.
By critically observing the given sequence of numbers, we can reasonably and logically deduce that each of the number on the right hand side of the expression is a translation of the number of letters in each of the number on the left.
Therefore, the pattern can be represented as follows:
1 = One = 3.
2 = Two = 3.
3 = Three = 5.
4 = Four = 4.
5 = Five = 4.
6 = Six = 3.
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Solve for t
7/3=4/t
I NEED HELP PLS
Answers
Answer:
T=12/7 For mixed number T=1 5/7 for decimal form 1.7 (7 repeating)
Product of 2.7 x 6.4 using partial products
Answers
Answer:
repeated addition
Step-by-step explanation:
Without multiplying tell which is greater 4/5x45 or 2/3x45
Answers
Answer:
2/3 x 45 < 4/5 x 45
Step-by-step explanation:
Rearrange from smallest to largest:
2/3 x 45 < 4/5 x 45
I hope this helps!
What does the net decimal equivalent (NDE) represent?
Answers
Answer:
the product of the decimal equivalents of all discount in the series
-3/10+-1/5
-18/15 x 5/-4
3/8 divided by -1/4
Please give a little bit long answer but not a single answer
Answers
Step-by-step explanation:
-3/10+ -1/5
find the common denominator. on that case its 10
10 into 10 that's 1 so 3 remain 3 . then 5 into 10 its 2 so 1×2=2
-3/10 + -2/10
-3+-2
-3-2= -5
-5/10= -1/2
Ans is -1/2
-18/15 ×5/-4
you cross multiply. 5into 15 to get a denominator 3 then -4/2=-2 denominator. -18/2=-9. you multiply 3×-2=-6 then we are left with
-9/-6= -3/-2=1 and half
Ans is 1 1/2 (one and 1 half ).
3/8÷ -1/4
you spin -1/4 to -4/1 inorder to change the sign to a multiplication sign.
3/8 × -4/1 1
cross multiply to get -3/2
-3/2 = - 1 1/2
Ans : 1 1/2 ( one and one half )
pliz mark my answer branliest
Draw the improper fractions
Answers
are the following ratios equal. write yes or no. use the theroem that the product of the extremes equals the product means.
Answers
The ratios will be equal if the theorem that the product of the extremes equals the product means follows.
Let us understand the equality of ratios through example. The example ratio will be -
7:10 = 21:30
In this ratio, 7 and 30 are first and last numbers and hence they are extremes. The number 10 and 21 are in middle and hence considered mean. Now, we will perform multiplication to if the ratios are equal or not.
Product of extremes = 7 × 30
Extremes product = 210
Product of means = 21 × 10
Means product = 210
Since the products are equal, the ratios are also equal.
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The complete question is -
Are the following ratios equal? write yes or no. use the theroem that the product of the extremes equals the product means.
Ratio = 7:10 and 21:30.
Given oo below, if AB and Bē are congruent, what is the measure of chord
BC?
Answers
Answer:
14.5 units
Step-by-step explanation:
AB= BC
BC = 14.5 units
Scott borrowed $8000 at a rate of 19%, compounded annually. Assuming he makes no payments, how much will he owe after 8 years? Round your answer to the nearest cent
Answers
To answer this question we will use the following formula for compounded interest:
\(A=A_0(1+r)^t,\)where A is the final amount, A₀ is the initial amount, r is the interest rate as a decimal number, and t is the number of times that the interest rate is applied.
Substituting A₀=8000, r=0.19, and t=8 we get:
\(A=8000(1+0.19)^8\text{.}\)Simplifying the above result we get:
\(\begin{gathered} A=8000(1.19)^8, \\ A\approx32171.08 \end{gathered}\)Answer: $32171.08.
This is the answer… but how do I SHOW it?
Answers
Given:
\(y=-3x^2\)We need to find points that line on the given equation to draw the graph.
Set x=-2 and substitute in the equation to find the value of y.
\(y=-3(-2)^2\)\(y=-3\times4\)\(y=-12\)We get the point (-2,-12).
Set x=-1 and substitute in the equation to find the value of y.
\(y=-3(-1)^2=-3\)We get the point (-1,-3).
Set x=0 and substitute in the equation to find the value of y.
\(y=-3(0)^2=0\)We get the point (0,0).
Set x=1 and substitute in the equation to find the value of y.
\(y=-3(1)^2=-3\)We get the point (1,-3)
Set x=2 and substitute in the equation to find the value of y.
\(y=-3(2)^2=-12\)We get the point (2,-12).
Mark the points (-2,-12), (-1, -3), (0,0), (1,-3) and (2,-12) on th egraph and join all the point by curve.
The graph is
