Answer:
± 60
Step-by-step explanation:
aₙ = a₁ * rⁿ⁻¹
a₇ = 30 = a₁ * r⁷⁻¹ = a₁ * r⁶ (1)
a₅ = 120 = a₁ * r⁵⁻¹ = a₁ * r⁴ (2)
(1)/(2): 30/120 = 1/4 = r²
r = ± 1/2 or ± 0.5
a₁ = a₇/r⁶ = 30/0.5⁶ = 1920
a₆ = 1920 * (± 1/2)⁶⁻¹ = 1920 * ± 1/32 = ± 60
The possible values of the 6th term of the sequence ± 60.
The 5th term in a geometric sequence is 120.
The 7th term is 30
We have to determine the 6th term of the sequence.
What is the formula for the nth term of the sequence?[tex]a_n = a* r^n[/tex]
a₇ = 30 = a₁ * r⁷⁻¹ = a₁ * r⁶ ...... (1)
a₅ = 120 = a₁ * r⁵⁻¹ = a₁ * r⁴ ... (2)
(1)/(2): 30/120 = 1/4 = r²
r = ± 1/2 or ± 0.5
a₁ = a₇/r⁶ = 30/0.5⁶ = 1920
a₆ = 1920 * (± 1/2)⁶⁻¹ = 1920 * ± 1/32 = ± 60.
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Evaluate:
Σ18/1 (5n– 4) = [? ]
Basically, you are going to evaluate 5n - 4 from n = 1 to n = 18. Don't forget to add as you evaluate.
I will get you started.
Let n = 1 and then n = 2.
5(1) - 4 + 5(2) - 4 + the rest
5 - 4 + 10 - 4 + the rest
1 + 6 + the rest
7 + the rest
Just continue the pattern. You will then let n be 3, 4, 5, etc all the way to 18.
plz answer
correctly it is worth a lot of points
Answer:
75%
Step-by-step explanation:
an average speed of 57 km/h and the remaining 55 km at an average speed of 110 km/h. Find the average speed of the car for its entire journey.
Answer:
83.5km/h
Step-by-step explanation:
To find average you have to add up all the numbers in a given set then divide it by the amount of numbers in that set
What is the value of a missing angle
Answer:
63°
Step-by-step explanation:
First, by looking at the angle we see that the overall angle is a right angle. This means that the total will add up to 90°.
Knowing this we can then subtract
90° - 27° = 63°
Answer:
63
Step-by-step explanation:
The measure of a right angle is always 90 so
90-27=63
Which of the following is a decreasing function?
y = 3(2)^x
y=2(1)^x
y=-3(1)^x
What value of x will make line m parallel to line n?
The value of x that will make line m parallel to line n is?
3.2 Simplify the following
3.2.1 -2+3(1 - 4) - 2
Answer:
[tex]-13[/tex]
Step-by-step explanation:
[tex]-2+3(1-4)-2[/tex]
Simplify:
[tex]-2+3(1-4)-2\\-13[/tex]
-13 is your final answer!
Find the area of each figure and round to the nearest tenth if necessary
Given:
The figure of two semicircles with diameters 6 cm and 5 cm.
To find:
The area of the combined figure.
Solution:
It is given that the diameters of the semicircles are 6 cm and 5 cm so their radii are 3 cm and 2.5 cm respectively.
Area of a semicircle is:
[tex]A=\dfrac{1}{2}\pi r^2[/tex]
So, the combined area of two semicircles with radii 3 cm and 2.5 cm is:
[tex]Area=\dfrac{1}{2}\pi (3)^2+\dfrac{1}{2}\pi (2.5)^2[/tex]
[tex]Area=\dfrac{1}{2}\pi (9)+\dfrac{1}{2}\pi (6.25)[/tex]
[tex]Area=14.137167+9.817477[/tex]
[tex]Area=23.954644[/tex]
Round the value to the nearest tenth (one decimal place.
[tex]Area\approx 24.0[/tex]
Therefore, the area of given figure is 24.0 sq. cm.
help? i need this done by the end of the day
This table shows how many male and female students attended two different
movies. What is the probability that a randomly chosen person from this
group is male?
Round your answer to two decimal places.
Action
Drama
Total
Male
105
124
229
Female
99
151
250
Total
204
275
479
Answer:
the correct answer is
229/479 = 0.48
The probability that a randomly chosen person from this group is male is 0.48.
What is the probability that a male is chosen?Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
The probability of choosing a male = number of males / total number of males and females
229/479 = 0.48
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What is the value of the y-intercept of the graph f(x)=138⋅1.9^x?
Answer:
Hi! The answer to your question is 138
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
Answer:
( 0 , 0 )
Step-by-step explanation:
Find the missing angle (x) in the diagram below. Show your work. (doing online school)
The area of triangle QTU is 6 square units, and the area of triangle RSU is 6 square units. The dimensions in the figure below are labeled in units. What is the area of triangle STU in square units
Answer:
The area of a triangle is 1/2BH, or 1/2 times the base times the height.
If the area = 6, and B and H must both be whole numbers.
The area of the triangle ΔSTU is given by A = 12 units²
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the area of the triangle ΔSTU be represented as A
Now , the area of triangle ΔQTU is 6 square units, and the area of triangle ΔRSU is 6 square units
So , the base of the triangle ΔSTU = 6 units
The height of the triangle ΔSTU = 4 units
So , area of the triangle = ( 1/2 ) x Length x Base
On simplifying , we get
The area of triangle ΔSTU = ( 1/2 ) x 4 x 6
The area of triangle ΔSTU = 12 units²
Therefore , the value of A is 12 units²
Hence , the area of the triangle is 12 units²
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The complete question is attached below :
The area of triangle QTU is 6 square units, and the area of triangle RSU is 6 square units. The dimensions in the figure below are labeled in units. What is the area of triangle STU in square units?
Plz make sure when you put an answer it is correct I’ll give you brainliest !
Answer:
C. 35 degrees
Step-by-step explanation:
Answer:
35 is your answer 21 plus 51 plus 73 plus 35
HELP ME PLEASE!
The graph below shows a line graphed through the points
Answer:
The answer is C.) y = 2x + 5
Use the data for the books each class donated for a book drive.
Books Donated
28
15
40
45
27
19
50
36
42
37
21
25
Find the Median.
Answer:
rearrange in ascending order
15,19,21,25,27,28,36,37,40,42,45,50
using formula (n\2)th + (n/2)+1)th/2
(12/2)th + (12/2)+1)th/2
6th +7th/ 2
the 6th number=28and the 7th number=36
28+36/2
64/2
32
median =32
A store gives reward points for every dollar
spent. The number of reward points varies
directly with the total amount spent.
Sofia spends $300 and receives 15 reward
points.
Juan spends $900. He receives reward points
at the same rate as Sofia.
How many more reward points will Juan
receive than Sofia?
Please help me I give u 14 points please only correct answers ,!!!
Question 5: Find the area of the following rectangle. Hint: multiply the binomials (x-3)(x+6). *
Answer:
B
Step-by-step explanation:
(x-3)(x+6)
x²+6x-3x-18
x²+3x-18
Using the pattern of blocks below, how many blocks does Figure 26 have?
This is hard can someone help me!
????????????????????????????????????????????????
Answer:
Second one to the top right i think
Step-by-step explanation:
The square pyramid below represents a tent that Wayne is making. The sides of the tent will be covered in blue fabric, and the base of the tent will be covered in brown fabric, Find the surface area that will be covered in each color of fabric, Enter your answers in the boxes.
Answer:
I am sorry I would love to help but I can't fiqure it out without the side length.
Step-by-step explanation:
btw i know its not your fault i dont see the width
What is the value of x?
X
Answer:
30°
Step-by-step explanation:
PLEASE HELP 8THGRADE MATHH!!
Answer:
10
Step-by-step explanation:
Answer:
table 3 (c)
Step-by-step explanation:
Find the sum of 318 nanoseconds and 96 microseconds
Step-by-step explanation:
1 microsecond is equal to 1000 nanoseconds.
Knowing this, we can multiply 96*1000 to get 96,000.
Then just add the additional 318 nanoseconds.
96,000+318=96,318 nanoseconds.
Mhanifa please help i will mark brainliest :)
Answer:
If figures are similar, corresponding sides have same ratio.
Similar polygonsSide IJ x is corresponding with QR, and side HK with PS:
x/6.5 = 25.5/8.5x = 6.5*3x = 19.5 Similar trianglesRatio of corresponding sides:
x/7 = 18/6x = 7*3x = 2111. Choose the appropriate graph for the equation below using slope-intercept form. y = -3x + 8 (multiple choice)
help with these 2 questions pls
Answer:
6 .
4X + 2 + X = 8X +2 -3X
5X+2=5X+2
0=0
The two sides of the equation are always equal ,so 3 or any other number can be a solution for it .
7.
6X+6-3X+6= X+4
3X+12= X+4
2X= -8
X= -4
Hope it was helpful .
Step-by-step explanation:
I hope that everything I have written helps you.if I'm wrong write the answers in your paper doesn't match with mine please tell me I'll try it again.
PLZZZ ANSWER HURRY 25 POINTS
Answer:
3
Step-by-step explanation:
PLS HELP ME GRADES ARE DUE TODAY! Fill in the chart below based on the graphs. Remember: Slope is vertical change divided by horizontal change.
Answer:
VC , HC , S
A) 6 , 3 , 2
b) 8 , 2 , 4
c) 40 , 20 , 2
Answer:
Graph Vertical Horizontal Slope
A 6 3 2
B 2 8 .25
C 40 20 2
Step-by-step explanation:
Graph A
vertical...
9-3=6
horizontal...
4-1=3
slope...
6/3=2
Graph B
vertical...
3.5-1.5=2
horizontal...
10-2=8
slope...
2/8=.25
Graph C
vertical...
75-35=40
horizontal...
30-10=20
slope...
40/20=2