Using geometric sequence concepts, it is found that the sum of the first 10 terms is of 4068.6.
What is a geometric sequence?A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.The nth term of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.The sum of the first n terms is given by:
[tex]S_n = \frac{a_1(q^n-1)}{q - 1}[/tex]
In this problem, the sequence is:
[tex]\frac{16}{25}, \frac{8}{5}, 4, 10,...[/tex]
Hence:
[tex]a_1 = \frac{16}{25}, q = \frac{10}{4} = 2.5[/tex]
Then, the sum of the first 10 terms is:
[tex]S_{10} = \frac{\frac{16}{25}(2.5^{10}-1)}{2.5 - 1} = 4068.6[/tex]
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Do you guys know the answer I got to get a good grade on this test pls help guys
Answer: The slope should be the first one. 1/4
Hope this helps <3.
What is the axis of symmetry and vertex?
y=-3x2-24x-42
Can someone help me pls
Answer:
okay can you tell me if the first -3x and second 24x are multiply or are just letters and I than I will post the answer
A $34 item is marked down by 90%. What is the cost of the new item?
Answer:
3.4
Step-by-step explanation:
divide the whole number by the objects in the group
hi may you help me with 1+1
Answer:
2
Step-by-step explanation:
−5x+13y=−7
5x+4y=24
Step-by-step explanation:
-5x + 13y = -75x + 4y = 24_________________
17y = 17y = 17 __ 17y = 1en una clase, la mitad de los estudiantes juegan futbol, un tercio baloncesto. Si 4 personas juegan tennis, ¿Cuántas personas hay en la clase?
Answer:
I dont speak Spanish, sorry
helen rolls a dice and flips a coin
calculate the probability that she gets a 4 and a tail
What is the median for the boys plot?
Answer:
4
Step-by-step explanation:
first you put the numbers in order from least to greatest
1,1,1,1,2,2,2,4,12,13,15,15,15,16,16
next find the middle number(s)
1,1,1,1,2,2,2,4,12,13,15,15,15,16,16
the middle number is your median
*if you have 2 middle numbers just add the then divide it by 2 to find the median
I WILL GIVE BRAINLIEST IF YOU ANSWER IN THE COMMENTS!!!!!!
Answer:
Wednesday
Explanation:
Heidy jogged 1/4 miles on Tuesday (shown in blue in the image). Then on Wednesday she jogged 3/4 miles (shown in red in the image). 3/4 miles is closer to Finger Bay than 1/4 miles.
Alejandro compra un terreno de 0,3 hm cuadrados y 0,9 dam al cuadrados a50 euros el metro cuadrado ¿cuanto ha pagado por el terreno?
Answer:
13.5 euros
Step-by-step explanation:
A partir de la pregunta anterior, las dimensiones del terreno se dieron como 0.3 & 0.9 m
El terreno es de forma rectangular.
Paso 1
Encontramos el área de la tierra
Área = Largo × Ancho
Área = 0.3 m × 0.9 m
Superficie = 0.27m²
Paso 2
Nos dijeron
1 m² = 50 euros
0.27m² = x
Multiplicar cruzada
x = 0.27 × 50 euros
x = 13.5 euros
Alejandro ha pagado 13.5 euros por el terreno
please help. i will brainlist you
Answer:
first question:
range-22
IQR-13
second question:
range-26
IQR-15.5
I hope this helped bestie!
A cone has a height of 18 yards and a diameter of 28 yards. What is its volume?
Answer:
504
Step-by-step explanation:
Which point has coordinates (-2, 3)?
Answer: I need a picture to go along with it because I see nothing.
Step-by-step explanation:
Someone help me please
Answer:
144 tiles
Step-by-step explanation:
if the room is 144 feet squared and one tile is one square foot
QUICK
is this congruent ?
Answer:
Yes
Step-by-step explanation:
Both sides are equal and the angles are too
Answer:
answer is (no) it is congruent
What is the measure of
Angles are not necessarily drawn to scale,
A
B
С
73
x O
Answer:
17°
Step-by-step explanation:
m∠x=90-73=17° (∠AOC is right angle)
£40 is divided between Jim, Krutika & Natasha so that Jim gets twice as much as Krutika, and Krutika gets three times as much as Natasha. How much does Jim get?
Answer:Jim gets £24
Step-by-step explanation:
Let the amount Natasha gets be represented as x
SO that Krutika getting three times as much as Natasha be represented as 3x
AND Jim getting twice as much as Krutika be represented as 2 x 3x=6x
The equation to show how much each gets can be represented as
x + 3x +6x=40
Solving
x +3x + 6x=40
10x =40
x =40/10 =4
Natasha gets £4
Krutika gets 3x =3x4= £12
Jim gets 6x=6 x4= £24
please help! this assgiment was due like a week ago and i’m missing so many more i just need help finishing this!
Answer:
17.5hrs
Step-by-step explanation:
Set they worked for x hours,
10x+35=210
10x=175
x=17.5
Which fraction is equivalent to - (7/8) ?
1. -(-7/8)
2. - ( 7/-8)
3. -7/8
4. -7/-8
Answer:
C: -7/8
Step-by-step explanation:
It makes the whole fraction negative just like the one you are comparing it to
A plane travels 1200 miles from San Diego, Ca to Portland, Oregon. On the way there, the plane traveled with the wind and made it in 4 hours. On the return trip, the plane traveled against the wind and made it in 6 hours. Find the speed of the plane and the speed of the wind.
Answer:
Speed of plane is 250 miles per hour and speed of wind is 50 miles per hour
Step-by-step explanation:
Let x represent the speed of the wind. When travelling with the wind, the plane travels 1200 miles within 4 hours. Hence the speed of the plane with the wind is:
speed = distance / time = 1200 miles / 4 hours = 300 miles per hour
When travelling against the wind, the plane travels 1200 miles within 6 hours. Hence the speed of the plane against the wind is:
speed = distance / time = 1200 miles / 6 hours = 200 miles per hour
Therefore:
300 - x = 200 + x
300 - 200 = x + x
2x = 100
x = 50 miles per hour
The speed of the wind = 50 miles per hour. The speed of the plane = 300 - 50 = 200 + 50 = 250 miles per hour
Simplify 1/2(6x-2)+10x
Answer:
=13x−1
Step-by-step explanation:
1
2
(6x−2)+10x
Distribute:
=(1/2)(6x)+(/12)(−2)+10x
=3x+−1+10x
Combine Like Terms:
=3x+−1+10x
=(3x+10x)+(−1)
=13x+−1
does the point (4,-2) lie on the circle with a center at (4,0) and a radius of 2?
Answer:
Yes
Step-by-step explanation:
It lies on the circle because the radius is 2 and the point goes down two units just like the radius
Answer:
yes
Step-by-step explanation:
the radius extends out 2 points throughout the entire circle therefore -2 will be reached as it is 2 units below the center of (4, 0)
Select all the true statements.
1+1=0
5+ (-5) = 0
3 + 0 = 0
-2+2=0
4 + (-4) = 1
6 + 0 = 1
Answer:
-2+2=0
4+-4=0
are true statement
Write story problem that uses addition and has a solution of 6 (x=6)
Answer:
Let me give you an example of a segment addition problem that uses three points that asks the student to solve for x but has a solution x = 20.
First, I assumed values for each x, y and z and then manipulated their coefficients to get the total at the end of each equation.
20 + 10 +30 = 60
40 + 0 + 40 = 80
40 + 10 = 50
Then exchangeing these numbers into values and we have the following equation.
x + 2y + 3z = 60
2x + 4z = 80
2x + z = 50
If you will solve them manually by substituting their variables into these equations, you can get
x = 20
y = 5
z = 10
Step-by-step explanation:
Write the equation of a line parallel to the line y = 4x - 3 and passing through the point (0,10).
Answer:
y=4x + 10
Step-by-step explanation:
Parallel lines always have the same slope. The point that you have is the y-intercept because the x is 0. So now you have both the slope and y- intercept and just need to sub it into the y=mx+b equation
The equation of line passes through the point (0, 10) will be;
⇒ y = 4x + 10
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The point on the line are (0, 10).
And, The parallel line is,
⇒ y = 4x - 3
Now,
Since, The equation of line passes through the point (0, 10).
So, We need to find the slope of the line.
Since, The slope of the parallel line is same.
Hence, Slope of the line is,
y = 4x - 3
m = dy/dx = 4
m = 4
Thus, The equation of line with slope 4 is,
⇒ y - 10 = 4 (x - 0)
⇒ y - 10 = 4x
⇒ y = 4x + 10
Therefore, The equation of line passes through the point (0, 10) will be;
⇒ y = 4x + 10
Learn more about the equation of line visit:
https://brainly.com/question/18831322
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f. Do the segments connecting the coordinates (-1,6), (4,2), and (7,6) form a right triangle? Show
work that leads to your answer.
Answer:
No, these segments do not form a right triangle.
Step-by-step explanation:
We need to calculate the distances between the points, taking 2 at a time:
From (-1, 6) to (4, 2), x increases by 5 and y decreases by 4. The distance between the two points, by the Pythagorean Theorem, is d = √(5² + 4²), or √41.
From (-1, 6) to (7, 6) x increases by 8 but y stays the same: 6. The distance between these two points is therefore 8.
Finally, from (4, 2) to (7, 6), x increases by 3 and y by 4, and so d = 5.
So now we have the 3 side lengths: √41, 8 and 5.
Squaring them, we get 41, 64 and 25. These do not satisfy the Pythagorean Theorem: 41 + 25 is not equal to 64.
No, these segments do not form a right triangle.
Compute the range of the box and whisker plot. Type a numerical answer in the space provided. DO not type spaces in your answer.
Answer:
94
Step-by-step explanation:
The range of a dataset is the difference between the maximum and minimum value :
The staring point of the whisker is the minimum = 4
The end point of he whisker is the maximum = 96
The range of the box and whisker plot is Hence,
Minimum = 4
Maximum = 98
Range = 98 - 4
Range = 94
Please help will mark brainliest need help ASAP!!
Step-by-step explanation:
I=P*R*T/100
R= I*100/P*T
so rate= I*100/3000*0.5
= 30000/1500
= 300/15
=20%
pls gimme brainliest I need it
Answer:
R = 20%
Step-by-step explanation:
Given
I = PRT , substitute corresponding values
300 = 3000 R × 0.5
300 = 1500 R ( divide both sides by 1500 )
0.2 = R ( multiply value by 100% ) , that is
R = 0.2 × 100% = 20%
The core of the Sun is about 174,000 miles across.
What is 174,000 in scientific notation?
O A. 174 x 103
OB. 17.4 x 103
O C. 17.4 x 104
OD. 1.74 x 105
O E. 1.74 x 106
Answer: D: 1.74 x 105
!50 POINTS!
Which number is a solution of the inequality?
6 greater than z left-parenthesis 10 minus z right-parenthesis
A. 0
B. 1
C. 2
D. 3
I'm super confused on this question. Awarding Brainiest for Answer and Step By Step Explanation. Thanks!
Answer:
A. 0Step-by-step explanation:
Given inequality:
6 > z(10 - z)Solution:
6 > 10z - z²z² - 10z + 6 > 0z² - 10z + 25 > 19(z - 5)² > 19z - 5 > √19 ⇒ z > 5 + √19 ⇒ z > 9.35z - 5 < - √19 ⇒ z < 5 - √19 ⇒ z < 0.64The only number satisfying this inequality is 0.
Correct choice is A