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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Your help will be much appreciated. 30 points + brainliest.
find exact value of each of the following using half angle formulas
Answer:
gimme a sec
Step-by-step explanation:
Answer:
a. -.259
b. 3.732
c. -.259
d. 3.72972972973
Step-by-step explanation:
A 54 inch pipe is cut up into 2 pieces . One piece is two times the length of the other
find total surface area of cylinder is R = 7 cm and H = 10 cm
Step-by-step explanation:
Given radius , r = 7cm
and height , h = 10cm
Surface Area of Cylinder
[tex] = 2\pi {r}^{2} + 2\pi \: rh \\ = 2\pi( {7}^{2} ) + 2\pi(7)(10) \\ = 2\pi(49) + 2\pi(70) \\ = 98\pi + 140\pi \\ = 238\pi {cm}^{2} [/tex]
I will leave it in terms of pi as i am not sure how you want to leave your answer as.
What is the solution of the system of equations?
{7/2x−1/2y=9/2
{3x−y=5
Enter your answer in the boxes.
Please Help! Geometry
Answer:
x =14, y = 38
Step-by-step explanation:
Quadrilateral JKLM is inscribed in a circle, so it is a cyclic quadrilateral.
Opposite angles of a cyclic quadrilateral are supplementary.
[tex]5x \degree + 110 \degree = 180 \degree \\ \\ 5x \degree = 180 \degree - 110 \degree\\ \\ 5x \degree = 70 \degree\\ \\ x = \frac{70}{5} \\ \\ x = 14 \\ \\ 2y \degree + 104 \degree = 180 \degree \\ \\ 2y \degree = 180 \degree - 104 \degree\\ \\ 2y \degree = 76 \degree \\ \\ y = \frac{76}{2} \\ \\ y = 38[/tex]
A international company has 26,700 employees in one country. If this represents 31.6% of the company's employees,how many employees does it have in total
Answer:
79762
Step-by-step explanation:
Total number of employees in one country=26,700
Let X= Total number of the company's employees in all countries
31.6% of ( Total number of the company's employees in all countries)=26,700
=[( 31.6/100) × X)] =26,700
Making X subject of the formula we have
X= [(26,700)/( 33.6/100)]
= [26800/0.336]
= 79762 ( approximately)
Hence, Total number of the company's employees in all countries is 79762
Help please, it's for a test due at 11:30 est; Determine if (x-6) is a factor of f(x)=2x^4-3x^3+4x-3. Explain.
Answer:
if we get 0, when we plug the value of f(x) as 6 in f(x) then (x-6) is a factor of f(x)
f(x) = 2x⁴ - 3x³ + 4x - 3f(6) = 2×6⁴ - 3×6³ + 4×6 - 3f(6) = 2592 - 638 + 24 - 3f(6) = 2616 - 641f(6) = 1975f(6) is not equal to 0
then (x-6) is not a factor of f(x) = 2x^4-3x^3+4x-3
Natalie was wrapping a gift for a birthday party
and she measured and found she had 3 1/6 yards of
ribbon. After finishing she had 1 3/4 yards of ribbon
remaining. How much ribbon did she use?
Answer:
1 5/12 yds
Step-by-step explanation:
3 1/6 - 1 3/4 = 38/12 - 21/12 = 17/12 = 1 5/12 yds
Solve the system of equations using the substitution method. Show your work and be sure to include the solution to the system.
Answer:
Is that simultaneous equation
You can ask if something is not clear or you don't understand
The solution of system of equations y=x-1 , 2x+y=8 are x=3 and y=2 which we get by substitution method.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given system of equations are
y=x-1 ...(1)
2x+y=8...(2)
By using substitution method we solve the value of x and y.
Substitute y value in equation (2)
2x+x-1=8
Combine the like terms
3x-1=8
Add 1 on both sides
3x=9
Divide both sides by 3
x=3
Now plug in x value in y equation.
y=3-1
y=2
Hence, the solution of system of equations y=x-1 , 2x+y=8 are x=3 and y=2 which we get by substitution method.
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Convert degrees to radians
Show all the work
2. 45
3. 90
Answer:
[tex]\frac{\pi }{4}[/tex] and [tex]\frac{\pi }{2}[/tex]
Step-by-step explanation:
To convert from degrees to radians
radian measure = degree measure × [tex]\frac{\pi }{180}[/tex] , then
(2)
radian measure = 45 × [tex]\frac{\pi }{180}[/tex] ( cancel 45 and 180 )
= [tex]\frac{\pi }{4}[/tex]
(3)
radian measure = 90 × [tex]\frac{\pi }{180}[/tex] ( cancel 90 and 180 )
= [tex]\frac{\pi }{2}[/tex]
3/4-1/5 please i give branliest
Answer:
0.55
Step-by-step explanation:
Answer:
11/20
(Result in decimals: 0.55)
Step-by-step explanation:
3/4 - 1/5
=
3 × 5 1 × 4
____ - ____
4 × 5 5 × 4
=
15/20 –4/20
=
15 – 4
_____
20
=
11/ 20
Hope I helped!!!!! Maybe Brainliest
Dave has a box that has a length of 12 cm a height of 8 cm and a width of 5 cm. Find the surface area.
Answer:
Question: Dave has a box that has a length of 12 cm a height of 8 cm and a width of 5 cm. Find the surface area.
Answer:
SA = 2lw+2lh+2hw
SA = 2 X 12 X 5 + 2 X 12 X 8 + 2 X 8 X 5
SA = 392
Step-by-step explanation:
Hope that this helps! :)
Have a great rest of your day/night!
Please thank me on my profile if you found my answer here helpful!
Phill thinks he had merited the angles blew correctly. Triangle placed on top of a straight line, 50 * at the top left of the triangle, 90 at the bottom left of the triangle, 40* at the bottom right
The following data points represent the number of holes that moths ate in each of Grandma Marion's
dresses.
7,8,8, 5, 7,8
Using this data, create a frequency table.
Number of holes
Number of dresses
5
6
7
8
Answer:
1, 0, 2, 3
Step-by-step explanation:
Answer:
1, 0, 2, 3
Step-by-step explanation:
Create an equation for a different linear function that has twice the rate of change and the same initial value as the one represented by the table
Can someone help me please
No links :/ .
Can someone help me with this bell work, it is due at 2:15. It is attached!
Please help me with the right Awnser
Answer:
40 m2
Step-by-step explanation:
96m² is your Answer:
Solution given:
base[b]=12m
height[h]=8m
we have
Area of parallelogram=b×h=12×8=96m²
someone please please help with this I would really appreciate it !
Answer:
I think this is how the response is meant to be, do you need workings to solve AB aswell?
3x+4=20 solve the following question
Answer:
5.33
Step-by-step explanation:
3x=20-4
3x=16
x=5.33
Answer:
x = 16/3
Step-by-step explanation:
3x+4=20
3x = 20 - 4
3x = 16
x = 16/3
help please i’m confused
Answer:
7/10 pi (radians)
Step-by-step explanation:
The formula for sector area is (angle * r^2)/2
140pi = angle*r^2/2
multiply both sides by 2
280pi = angle * r^2
r = 20 cm (substitute)
280pi = angle * (20)^2
280pi = angle * 400
Divide both sides by 400
7/10 pi = angle
A bank offers the following loans:
Bank A Bank B
$105,000
30-year fixed
5.875%
1.25 discount points
M = $621.11
$105,000
30-year fixed
6%
0 discount points
M = $629.53
What is the break-even point for the loans? (4 points)
about 7 years
about 10 years
about 13 years
about 16 years
Answer:
It is bank A and bank B
about 10 years
What is the solution to the system of equations above?
Answer:
(-2,-2)
Step-by-step explanation:
the x is -2
also the y is -2
identify the equation whose vertical graph is a vertical line.
a) y=2x-1
b) y=2
c) x=2
Answer:
c
Step-by-step explanation:
help this is khan academy
Answer:
20
Answer:
20
Step by step:
v = l × w × h
v = 2 × 2× 5
v = 4 × 5
v = 20
Cuantas cifras se emplean para numerar las 48 paginas de una revista?
Answer:
Para hacer una revista de más de 16 páginas, se cotejan múltiples 'secciones' dobladas ... Entonces 16, 32, 48 páginas etc. ... usted con información técnica sobre números de página, encuadernación y cualquier otra impresión, correo o logística relacionada preguntas. ... El uso de este sitio está sujeto a los Términos y condiciones de uso de nuestro sitio web, que están disponibles aquí.
Step-by-step explanation:
questions 9 & 10 FAST PLS ITS A TEST! WILL GIVE BRAINLIEST!
Answer:
9: one solution
10: 121
Step-by-step explanation:
Hope that helped!! maybe brainliest?
edit: so sorry 9 is actually two solutions not one
HELP PLS ASAP PLS PLS DUE SOON
Answer:
blank 1: 63 degrees
heart if it helped!
Help me pls ASAP find A
Answer:
the answer is (3,2) because it show it
If all shoppers get 10% off their purchase today, what is the equation can be used to calculate the portion of the original price?
Answer:
Step-by-step explanation:
Let the original cost be x
The shoppers get 10% of the original price
Therefore the equation to find final cost =
Discount: 10x/100
Final Cost: 90x/100
Mark brainliest for further answers :)
the volume in cm³, of a cube of edge is 3cm is
Answer:
27 cm^3
Step-by-step explanation:
edge of cube = a = 3cm
Volume of cube = a^3 = 3^3= 3×3×3 = 27 cm^3
sorry if im wrong plz dont report
(hope this helps can i plz have brainlist :D hehe)