Answer:
r = -3
16th term: -516560652
Step-by-step explanation:
Let's use the formula for a geometric sequence:
[tex]a_n=a_1r^{n-1}[/tex], where [tex]a_n[/tex] is the nth term, [tex]a_1[/tex] is the first term, and r is the common ratio
Here, we know the first term is 4. To find r, let's plug in 8 for n and -8748 for [tex]a_n[/tex]:
[tex]a_n=a_1r^{n-1}[/tex]
-8748 = 4 * [tex]r^{8-1}[/tex]
-8748 = 4 * [tex]r^7[/tex]
[tex]r^7[/tex] = -2187
r = -3
So we know that the common ratio is -3. Now, we want to find the 16th term, so n = 16:
[tex]a_n=a_1r^{n-1}[/tex]
[tex]a_{16}=a_1*(-3)^{16-1}=4*(-3)^{17}=-516560652[/tex]
Answer:
r = -3
16th term: -516560652
Step-by-step explanation:
Let's use the formula for a geometric sequence:
, where is the nth term, is the first term, and r is the common ratio
Here, we know the first term is 4. To find r, let's plug in 8 for n and -8748 for :
-8748 = 4 *
-8748 = 4 *
= -2187
r = -3
If slope is positive, what direction is the line going ?
Answer:
Step-by-step explanation:
A line has a positive slope if it is slanting upward, toward the right. A line has a negative slope if it is slanting upward, toward the left.
Mark As Brainlist Plz
Step-by-step explanation:
The line would be going up because when the slope is positive that the amounts are increasing, meaning when the slope is positive it’s going up and the opposite of when the slope is negative.
What is the following product
Answer:
2nd answer choice
Step-by-step explanation:
One way of doing this problem is to switch over to fractional exponents first.
The given product can be thought of as a square:
the square of (fifth root of 4x^2)
= [ fifth root of 4x^2 ]^2, or
= [(4x^2)^(1/5) ]^2, or
= [ (4x^(2/5) ]^2, or
= 16x^(4/5) This is equal to the 2nd answer choice.
Can you help me with this I will mark you Brainiest
Answer:
72 nickels
Step-by-step explanation:
First find the total price
.65+ 1.95+.99 = 3.59
The total price is 3.59
A nickel is worth .05 of a dollar
Divide the price by .05
3.59/.05
71.8
Round up
She will need 72 nickels
In reference to patterns there is a process of getting from one term to another or to finding a certain term in the pattern. first two words ru
There is no question asked, and the statement is incomplete, but this describes Series and Sequence. They are usually arithmetic or geometric progressions. A set of numbers are written to follow a particular pattern, when the pattern is clear, one can find any number of the sequence or series.
For example, consider the sequence below (Arithmetic Progression)
2, 4, 6, 8, ...
This sequence has a particular pattern.
The first term of the sequence is
a = 2
The common difference d, which is the difference between any two consecutive terms is
d = 2
The nth term, which is the formula that defines every single term of the sequence is given as
Tn = a + (n - 1)d
Check
T1 = a = 2
T2 = 2 + 2 = 4
T3 = 2 + 2(2) = 6
T4 = 2 + 2(3) = 8
T20 = 2 + 2(19) = 40
And so on.
Geometric progression
2, 4, 8, 16, 32, etc
First term, a = 2
Common ratio r, is the division of a particular number by the number preceding it.
r = 4/2 = 8/4 = 16/8 = 32/16 = 2
The nth term is given as
Sn = ar^(n-1)
S1 = a = 2
S2 = 2×2 = 4
S3 = 2×2^(2) = 8
S4 = 2×2^(3) = 16
S5 = 2×2^(4) = 32
S20 = 2×2^(19) = 1048576
And so on.
Answer:it’s rule
Step-by-step explanation:
I got it right on usatestprep
What percent is equivalent to the fraction 10/25 (ten twenty-fifths)? *
20 points
A
10%
B
40%
C
25%
D
5%
For each statement determine if it is True or False for the graph of 6x – 3y = 21.
The x-intercept is 3 1/2.
A).Yes B).No
The y-intercept is -7.
А). Yes B). No
The slope is 3.
A). Yes B). No
1. Yes, the x-intercept is 3 1/2
2. Yes, the y-intercept is -7
3. No, the slope is 2
Explanation:6x -3y = 21
-3y = -6x + 21
y = 2x - 7
Let's suppose a large triangle has a hole in the middle of it in the form of a rectangle, would you add the rectangle to the area of the triangle or subtract it from the area of the triangle to find the total area? *
Answer:
Subtract
Step-by-step explanation:
There is nothing but a rectangular hole on the triangle. Therefore, subtracting away a piece of the triangle.
Answer:
Add the area of a rectangle
Step-by-step explanation:
You would add a rectangle to the area of the triangle to fill in the missing hole(i think)
Jimmy's fishing boat is sailing near the shoreline when a lighthouse on the top of a 250-foot cliff is lit up. If Jimmy's sight line is 400 feet away from the lighthouse, what is the angle of depression from the lighthouse to the fishing
Answer:
32.0054
Step-by-step explanation:
i think
The angle of depression is approximately 32.01 degrees.
To find the angle of depression, we can use the concept of trigonometry. Specifically, we use the tangent function, which relates the height of the lighthouse to the distance from the lighthouse to Jimmy's boat.
Steps to solve:
Let θ be the angle of depression.The height of the lighthouse (opposite side) is 250 feet.The distance from the lighthouse to the boat (adjacent side) is 400 feet.Use the tangent function: tan(θ) = opposite / adjacent.Substitute the values: tan(θ) = 250 / 400.Simplify the fraction: tan(θ) = 0.625.Find the angle by taking the arctangent: θ = [tex]tan^{-1}[/tex](0.625).The result is approximately: θ ≈ 32.01 degrees.Therefore, the angle of depression from the lighthouse to the fishing boat is about 32.01 degrees.
Circle D is shown. Angle A C B intercepts arc A B. Arc A B has a measure of 76 degrees. What is the measure of AngleC ? 38° 76° 90° 152°
The measure of angle C is 38 degrees
What are angles?Angles are the measure of space between intersecting lines or rays
The measure of the arc is given as:
Arc AB = 76 degrees
The angle at the center is half the angle at the circumference.
So, we have:
Angle C = 0.5 * 76 degrees
Angle C = 38 degrees
Hence, the measure of angle C is 38 degrees
Read more about angles at:
https://brainly.com/question/17972372
Answer:
A) 38
<C = 38
Step-by-step explanation:
Help me with this math its probably easy for a lot of you guys
Answer:
1.5
Step-by-step explanation:
Since an object submersed in a fluid displaces its volume in fluid, you can calculate the volume of the ring by measuring how much water it displaces. When the ring is dropped in, the length and width of the container stay the same, while the height increases by 0.25. 0.25*3*2=1.5 cubic inches. Hope this helps!
2 square pyramids are stacked on their bases. The bases are 2 inches by 2 inches and each pyramid has a height of 3.25 inches.
A cardboard party favor is shaped like two square pyramids stuck together at their bases.
What is the approximate volume of the party favor?
4.3 in.3
8.7 in.3
12.9 in.3
26.1 in.3
Answer:
8.7
Step-by-step explanation:
I just did it and got it right
Answer:
8.7
Step-by-step explanation:
Mark as brainliest!!!!
find the 104 term of the sequence -2,1,4,7,...
Answer:
307.
Step-by-step explanation:
Arithmetic sequence with first term a1 = -2 and common difference d = 1 - -2 = 3
an = a1 + d( n - 1), so
a104 = -2 + 3(104 - 1)
= -2 + 309
= 307.
How much is x? Round it to the nearest tenth.
Answer:
The answer is 7.3
Step-by-step explanation:
(a(1) = -2
[a(n) = a(n − 1) – 5
Find the 4th term in the sequence.
The 4th term in the sequence is -17.
To find the 4th term in the sequence defined by the recursive formula [tex]\(a(n) = a(n-1) - 5\)[/tex] with the initial condition [tex]\(a(1) = -2\)[/tex], you can use the recursive formula to compute each term. Let's find the first few terms:
1. [tex]\(a(1) = -2\)[/tex] (given)
2. [tex]\(a(2) = a(1) - 5 = -2 - 5 = -7\)[/tex] (using the recursive formula)
3. [tex]\(a(3) = a(2) - 5 = -7 - 5 = -12\)[/tex] (using the recursive formula)
4. [tex]\(a(4) = a(3) - 5 = -12 - 5 = -17\)[/tex] (using the recursive formula)
The recursive formula tells us how to calculate each term in the sequence based on the previous term. Starting with \(a(1)\), we use the formula to find [tex]\(a(2)\)[/tex], then use [tex]\(a(2)\) to find \(a(3)\)[/tex], and so on.
So, the 4th term [tex](\(a(4)\))[/tex] is found by taking the previous term [tex](\(a(3)\))[/tex], which is -12, and subtracting 5.
Complete the question:
a(1) = -2;
a(n) = a(n − 1) – 5
Find the 4th term in the sequence.
Final answer:
The 4th term in the sequence defined by a(1) = -2 and a(n) = a(n − 1) − 5 is -17, which is found by successively subtracting 5 from the previous term.
Explanation:
To find the 4th term in a sequence where a(1) = -2 and a(n) = a(n − 1) − 5, we will use the recurrence relation to determine each subsequent term:
First term (a(1)) is given as -2.The second term (a(2)) equals a(1) - 5 = -2 - 5 = -7.The third term (a(3)) equals a(2) - 5 = -7 - 5 = -12.The fourth term (a(4)) equals a(3) - 5 = -12 - 5 = -17.Therefore, the 4th term in the sequence is -17.
Which of the following could be the equation of the function below? On a coordinate plane, a curve crosses the y-axis at y = negative 1.5. It has a maximum at negative 1.5 and a minimum at negative 2.5. It goes through 2 cycles at pi.
Answer:
y = 0.5 cosine (4 (x - pi/2)) - 2
Step-by-step explanation:
Determine whether the graph shows a positive correlation, a negative correlation, or no correlation. If there is a positive or negative correlation, describe its meaning in the situation.
Video Rental Fines
A graph titled Video Rental Fitness has videos rented on the x-axis, and fines (dollars) on the y-axis. Points are scattered all over the graph.
a.
negative; as the number of videos rented increases, the amount of fine increases.
b.
negative; as the number of videos rented increases, the amount of fine decreases.
c.
no correlation
d.
positive; as the number of videos rented increases, the amount of fine decreases.
Please select the best answer from the choices provided
A
B
C
D
Mark this and return
Answer:
cccccccc
Step-by-step explanation:
John was given a math equation. He completed it in 5 seconds. Is his answer correct? If it is, show how he got the answer. Show your work. See picture down below.
Answer:
He is definitely correct.
Step-by-step explanation:
1 + 1 = 2 is a very easy equation and is the simplest equation to do.
The Massachusetts Department of Employment and Training predicted that there will be 21% more jobs for computer programmers in Massachusetts in 2005 than there were in 1994.
There were 15,970 programming jobs in 1994.
Based on the prediction, about how many total jobs were there available in 2005?
Answer:
19,324
Step-by-step explanation:
The original amount is 100% of the original amount since 100% means a whole amount.
A 21% increase means that the new amount will be 100% + 21% = 121% of the original amount.
Now we calculate 121% of 15,970.
To find a percent of a number, multiply the percent by the number. First, divide the percent by 100 to change it into a decimal.
121% of 15,970 =
= 121% * 15,970
= 1.21 * 15,970
= 19,323.7
Answer:
19,324
A fair six sided die is rolled twice.
Calculate the probability of rolling an even number and then a 3.
Give your answer as a fraction in its simplest form.
Answer:
1/12
1/2 x 1/6 = 1/12
half of the numbers are even and 1/6 o the numbers is 3.
Step-by-step explanation:
The probability of rolling an even number and then a 3 is,
⇒ 1 / 12
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Now, the probability of rolling an even number on the first roll.
Then, There are three even numbers 2, 4, and 6 out of the 6 possible outcomes,
so the probability of rolling an even number on the first roll is,
= 3/6,
= 1/2
And, For the probability of rolling a 3 on the second roll.
There is only one outcome that will result in a 3 out of the six possible outcomes,
so the probability of rolling a 3 on the second roll is 1/6.
Now we can multiply the two probabilities together to find the probability of rolling an even number on the first roll and then a 3 on the second roll:
1/2 x 1/6 = 1/12
Hence, the probability of rolling an even number and then a 3 is,
⇒ 1 / 12
Learn more about the probability visit:
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A school paid $31.25 for each calculator. If the school spent $500 on calculators, how many did the school buy?
Answer:
A school paid $31.25 for each calculator.
If the school spent $500 on calculators, the number of purchased calculators:
N = 500/31.25 = 16
Hope this helps!
:)
Answer:
Divide 500 by 31.25$ which equals to 16
p v q is true for a total of how many cars?
Answer:D. 80
Step-by-step explanation:
all you do is add 40, 14 and 26 from the graph
Graph the solutions of the linear equation
y=-2x + 1. Then explain how the graph is
different from the graph in the example,
Answer:
c
Step-by-step explanation:
How can 25/9 be represented as a decimal? PLeasehelp! 1st answer is brainleuses
Answer:
2.8 or 2.77777
Step-by-step explanation:
9 can go into 25 less than 3 times but more than 2
The test scores for a math class are shown below.
83, 85, 82, 93, 83, 84, 95, 87, 86, 94
What is the standard deviation of the data set? Round your answer to the nearest tenth.
A. 4.8
B. 4.6
C. 4.7
D. 4.3
Answer:
c. 4.7
Step-by-step explanation:
first, you find the mean of data set:
83 + 85 + 82 + 93 + 83 + 84 + 95 + 87 + 86 + 94 = 872/10 = 87.2
then, you take each number and subtract the mean and square it:
(87.2 - 83)² = (4.2)² = 17.64
(87.2 - 85)² = (2.2)² = 4.84
(87.2 - 82)² = (5.2)² = 27.04
(93 - 87.2)² = (5.8)² = 33.64
(87.2 - 83)² = (4.2)² = 17.64
(87.2 - 84)² = (3.2)² = 10.24
(95 - 87.2)² = (7.8)² = 60.84
(87.2 - 87)² = (0.2)² = 0.04
(87.2 - 86)² = (1.2)² = 1.44
(94 - 87.2)² = (6.8)² = 46.24
now, find the mean of the squared numbers:
17.64 + 4.84 + 27.04 + 33.64 + 17.64 + 10.24 + 60.84 + 0.04 + 1.44 + 46.24 = 219.6/10 = 21.96
then, take the square root of the number you just got:
√21.96 = 4.68
and last but not least, round to the nearest tenth: 4.7
Answer:
5.5 is the answer, I just took the test
A bag contains 8 red marbles, 7 blue marbles and 5 green marbles. If two marbles are drawn out of the bag, what is the exact probability that both marbles drawn will be red?
The exact probability that both marbles drawn will be red is 4/25.
Given that:
Number of red marbles in the bag, R = 8
Number of blue marbles in the bag, B = 7
Number of green marbles in the bag, G = 5
The total number of marbles in the bag is:
T = 8 + 7 + 5
= 20
The probability of drawing a colored marble is the number of marbles of that color by the total number of marbles.
So, P(R) = 8/20, P(B) = 7/20 and P(G) = 5/20
If two marbles are drawn out of the bag, the probability that both marbles are red is:
P = P(R) P(R)
= (8/20)(8/20)
= (2/5)(2/5)
= 4/25
Hence, the probability s 4/25.
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Final answer:
The exact probability of drawing two red marbles from the bag without replacement is the product of the individual probabilities, calculated as (2/5) × (7/19).
Explanation:
To find the probability that both marbles drawn from a bag will be red, given the bag contains 8 red marbles, 7 blue marbles, and 5 green marbles, we need to calculate the probability of drawing one red marble and then another red marble without replacement.
The total number of marbles in the bag is 8 red + 7 blue + 5 green = 20 marbles. The probability of drawing the first red marble is 8/20, which simplifies to 2/5. After drawing one red marble, there are now 7 red marbles left and the total drops to 19 marbles. The probability of drawing a second red marble is now 7/19.
To find the probability of both events happening, we multiply the probabilities of each event: (2/5) × (7/19). Therefore, the exact probability of drawing two red marbles in succession without replacement is (2/5) × (7/19).
4/9 of the visitors to the aquarium one afternoon were children, 2/5 were adults, and the rest were senior citizens. If there were 180 people altogether, how many were senior citizens?
Answer:
28 were senior citizens
A common denominator between 9 and 5 is 45.
4 ·5 20 2 ·9 18
9 ·5 45 5 ·9 45
20/45 + 18/45 is 38/45
38/45=x/180
solve for x
38 ·4= 152
45 ·4= 180
152 out of the 180 visitors were NOT senior citizens.
180-152=28
28 visitors were senior citizens
Hope this helped :)
Writing Trig Ratios.
Answer:
1. 21/28=3/4
2. 16/34=8/17
3. 28/35=4/5
4. 32/24=4/3
5. 30/34= 15/17
6. 24/40=3/5
Step-by-step explanation:
Sin= opp/hyp
Cos= adj/hyp
Tan= opp/adj
Hope this helps!
If m=2, what is the value of 10-3m? Will choose brainliest. Pls provide an explanation.
Answer:
4
Step-by-step explanation:
simplify to find m
assuming m is 2 we plug in 2 for m
10 - 3(2) =
10 - 6 =
4
Determine which Two values the following number is between ? Roots
Answer:
3.30 and 3.32? I think
Step-by-step explanation:
The [tex]\sqrt{11}[/tex] = 3.31
Which statement is true? Click on pic. above.