The sixth term is [tex]\frac{3}{1024}[/tex] .
Given series : 3, [tex]\frac{3}{4}[/tex] , [tex]\frac{3}{16}[/tex] and so on.
We need to find the sixth term, so n = 6.
The given series is in Geometric Progression.
To find the [tex]n^{th}[/tex] term of a Geometric Progression,
[tex]a_{n}[/tex] = a[tex]r^{n-1}[/tex]
a is the first term of any series. Here, a = 3
r is common ratio. Here, r = [tex]\frac{1}{4}[/tex]
According to the question,
[tex]a_{6}[/tex] = 3[tex](\frac{1}{4} )^{6-1}[/tex]
⇒ [tex]a_{6}[/tex] = 3 × [tex](\frac{1}{4} )^{5}[/tex]
⇒ [tex]a_{6}[/tex] = 3 × [tex]\frac{1}{1024}[/tex]
⇒ [tex]a_{6}[/tex] = [tex]\frac{3}{1024}[/tex]
So, the sixth term is [tex]\frac{3}{1024}[/tex].
Calculate the slope of the line on the graph using the formula: m=y2-y1/x2-x1
The slope of the line is __ m/s
Answer:
4 m/s
Step-by-step explanation:
My yard is 2730 square feet. It’s base is 65 feet. What is the height.
Answer: Your height is 42
Step-by-step explanation: 2730 divided by 65 would by 42
Answer:
area of rectangle is product of base×height.or length×breadth
area of rectangle= base ×height
2730 feet²=65×height
2730/65=height
42feet=height.
which of the expressions bellow is equal to -3x - 39
Answer:
117
(-3) × (-39) = 117
Step-by-step explanation:
hope it helps!
Christie has $3.80 in quarters and dimes. She has three more dimes than quarters. How many of each coin does she have?
Answer:
Quarters = 10
Dimes = 13
Step-by-step explanation:
Given that :
Quarters = $0.25
Dimes = $0.10
Total value =. $3.80
Let :
Quarters = a
Dimes = a + 3 (3 more dimes Than quarters)
0.25a + 0.10(a + 3) = 3.80
0.25a + 0.10a + 0.3 = 3.80
0.35a = 3.80 - 0.3
0.35a = 3.5
a = 3.5 / 0.35
a = 10
Quarters = a = 10
Dimes = a + 3 = 10 + 3 = 13
Why does the sin 0 = cos (90 - 0)?
Answer:
It is a nonexistent circumstance where one point of a correct triangle gets zero. Attempt to think. At the point when the point becomes zero, at that point the base gets 0, and the opposite and the hypotenuse turns into a similar line. Since in cos 90, base is 0, in this manner consequently cos 90 is zero.
(Hope this helps! Btw, I am the first to answer. Brainliest pls!)
What is the height of the cone below?
V = 90 cm
B = 18 cm?
5 cm
06 cm
O 15 cm
O 30 cm
Answer:
5cm
Step-by-step explanation:
V = (B*H)
90 = (18 * H)
H = 90 / 18
452% as a decimal and as a fraction in simplest form
Answer:
decimal form: 4.52
fraction: 4 13/25
Step-by-step explanation:
Answer:
Decimal 4.52
Fraction 4 13/25
Use 50° as the reference angle to find the value Opposite: 50° Adjacent: Hypotenuse 7 12 90° 40° 9 Tt o
Write the equation of the line in slope-intercept form given:
m = 3/7 through (-7, 7)
Answer:
y=3/7x+10
Step-by-step explanation:
y-y1=m(x-x1)
y-7=3/7(x-(-7))
y-7=3/7(x+7)
y=3/7x+21/7+7
y=3/7x+3+7
y=3/7x+10
what is the measurement of angle x
the angle on the right measures 54 degrees and the left measures 38 degrees
Answer:
16
Step-by-step explanation:
180 is a straight line.
x is among that line so you must subtract the angles you know from 180.
180-54-38= 16
1/2x + 7 = x + 13 solution
Answer:
-3
Step-by-step explanation:
HELP ASAP!!! I WILL CHOOSE YOU THE BRAINLIEST!!!! PLEASE
Answer:
K is the independent value.
Step-by-step explanation:
For K, you can plug in any value, so it is independent, but T will always have to follow the value of K.
(The X axis is always independent, and the Y axis is always dependent.)
If you want me to do the "Complete the sentence", please tell me the options in the comments.
Answer:
t is the independantt variable and K is the dependant variable...
Smaller? Or less than...
I dont know..
Step-by-step explanation:
hope I helped.. can I have brainliest please? hee hee
Which expression is equivalent to 9u+5u?
14, I think its 14. let me know if I'm right
plz help asap!!
which statement is not true about the data shown by the box plot below ?
Answer:
B
Step-by-step explanation:
the range is about 45
Complete the statement. Round to the nearest hundredth if necessary.
9.2 in. ≈
cm
9514 1404 393
Answer:
23.37 cm
Step-by-step explanation:
1 inch is 2.54 cm, so 9.2 inches is ...
(9.2)(2.54 cm) = 23.368 cm ≈ 23.37 cm
One of the angles of a parallelogram is 36 degree greater than another one. Find the angles of the parallelogram
Answer:
72, 72, 108, 108
Step-by-step explanation:
x, x, x+36, x+36 =360
4x=288
x=72
so, x=72, x=72, x=108, x=108
Answer:
72*, 72*, 108*, 108*
Find the value of x and the measure of the angle labeled 3x.
A. x= 14; angle measure is 30°
B. x = 10; angle measure is 42".
C. x = 14; angle measure is 42"
D. x = 10; angle measure is 30°
Answer:
X=10
Step-by-step explanation:
3x=30
3(10)=30
30=30
30+42=72
I hope this helps!
Answer:
D. x=10; angle measure is 30°
Step-by-step explanation:
hope this helps
URGENT: Create a linear system whose ONLY SOLUTION is (3,13) . I just need the equations for f(x)=? , G(x)=? To get (3,13). ASAP!!!!! PLZZZ
The solution of (3,13) means you need to create two lines that satisfy x = 3 and y = 13
The two lines can be anything as long as they give this solution
For example, if you wrote x + y = 16 (you know their values already)
Then write another y - x = 10
From here you have your equations, turn them into the f(x) form.
x + y = 16 can be turned into y = 16 - x which is f(x)=16-x
y-x = 10 can be turned into y = 10 + x which is g(x)=10 + x
Common denominator of 1/6
Answer:
24 the answer is 24
Step-by-step explanation:
that's because the (LCD) of 1/6 is 24
Solve for x.
x =
thank you in advance!
Answer:
3x+9=180(angles on a line
3x=180-9
3x=171
x=171/3
x=57
I need help I can’t understand having the answer is going to help a lot
Answer:
Step-by-step explanation:
35[tex]\frac{1}{2}[/tex]÷1[tex]\frac{1}{4}[/tex]=28.4
The value of C has to be Greater than 0.65
Answer:
1.3
Step-by-step explanation:
1. .65 = .5c ---> .65/.5
2. 1.3 = c
if two sides of a triangle measurement 8cm 12cm what is the range of the third side
which number is greater tha 9/4
Answer:
9
Step-by-step explanation:
the biggest number gets eaten by the alligator
Simplify: 2m – 6 ≤ 18.
Group of answer choices
m ≥ 6
m ≤ 12
m ≤ 6
m ≥ 12
Answer:
D. m≥12
Step-by-step explanation:
You first need to transfer the -6 over to the 18. The negative turns into a positive, therefore you add. 18+6 is 24. You now have 2m≤24. Bring the 2 over. You are dividing. 24/2 is 12.
Answer:
The answer is D.
Step-by-step explanation:
~Hoped this helped~
What’s the answer to this question?
x² =
12
16
48
Solve for a
Pythagorean theorem
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {c}^{2} - {b}^{2} = {a}^{2} [/tex]
[tex] {8}^{2} - {6}^{2} = {28}^{2} [/tex]
[tex] \sqrt{28} [/tex]
Answer:
[tex]\boxed{\sf{a=\sqrt{28} }}[/tex]
Step-by-step explanation:Pythagorean theorems can be applied to solve this problem.
Pythagorean theorem:
[tex]\rightarrow \sf{a^2+b^2=c^2}[/tex]
⇒ c²-b²=a²
8²-6²=28²
Solve.
PEMDAS stands for:
ParenthesisExponentsMultiplyDivideAddSubtract[tex]\sf{8^2-6^2}[/tex]
Solve by exponents from left to right numbers.
[tex]\sf{8^2=8*8=64}[/tex]
[tex]\sf{6^2=36}[/tex]
Then, subtract.
[tex]\sf{64-36=\boxed{\sf{28}}[/tex]
a=√28
Therefore, the correct answer is a=√28.
I hope this helps you! Let me know if my answer is wrong or not.
Please help me find the values of z and x!
Answer:
The answer would be 299
Step-by-step explanation: Just plug in 74 into x
Write an equation of a line perpendicular to x = -7 and passes through the
point (4,9).
Answer:
y = 9
Step-by-step explanation:
The line x = -7 is a vertical line, so the perpendicular line will be horizontal.
Horizontal lines have a slope of 0.
Using this slope and the point given, plug them into y = mx + b to solve for b and create the equation
y = mx + b
9 = 0(4) + b
9 = b
Plug this and the slope into the equation:
y = mx + b
y = 0x + b
y = 9
So, y = 9 is the equation
Draw the image of the following segment after a dilation centered at the origin with a scale factor of 2/3
Answer:
When we have a point (a, b) and we have a dilation of scale factor K centered at the origin, the new coordinates of this point will be:
(K*a, K*b)
In this case, we can find the original coordinates of the endpoints of the original segment.
Then apply the dilation to these points, and then draw a new segment whose endpoints are the dilated points.
The endpoints of the original segment are (i can not see the image very well, so i may be wrong when noticing the points).
The first endpoint is (6, 9) and (12, 12)
Now we apply a dilation with a scale factor K = 2/3.
then we get the points:
((2/3)*6, (2/3)*9) = (4, 6)
and the other point is:
((2/3)*12, (2/3)*12) = (8, 8)
Now we need to draw a segment whose endpoints are (4, 6) and (8, 8)
The segment can be seen in the graph below.