The explicit formula for the given geometric sequence is [tex]a_n=5\times(-5)^{n-1}[/tex].
The given sequence is 5, -25, 125,.......
Here, the common ratio is -25/5 = -5 and 125/(-25) = -5.
We know that, the explicit formula for an geometric sequence is [tex]a_n=ar^{n-1}[/tex].
Where, a = first term of the sequence, r= common ratio and n = number of terms.
Substitute, a=5 and r=-5 in [tex]a_n=ar^{n-1}[/tex], we get
[tex]a_n=5\times(-5)^{n-1}[/tex]
Therefore, the explicit formula for the given geometric sequence is [tex]a_n=5\times(-5)^{n-1}[/tex].
To learn more about the geometric sequence visit:
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i really need help asap show all work
Note: Consider we need to find the factor form of the given expression by taking out the GCF.
Given:
The expression is:
[tex]-42k^3+24k^4+12k^5[/tex]
To find:
The factor form of the given expression.
Solution:
We have,
[tex]-42k^3+24k^4+12k^5[/tex]
It can be written as:
[tex]=6k^3(-7)+6k^3(4k)+6k^3(2k^2)[/tex]
Taking out the greatest common factor (GCF), we get
[tex]=6k^3(-7+4k+2k^2)[/tex]
Therefore, the factor form of the given expression is [tex]6k^3(-7+4k+2k^2)[/tex].
Plz help meeeeee…. I need to pass this
If you spin the spinner once, determine the probability and the likelihood of spinning with colors red, orange, blue or green, red blue orange or green, not red
Answer:
Step-by-step explanation: There are 12 colours on a spinner,
Probability of red,orange, blue or green = 1/12×4 =4/12
=1/3
Probability of red,blue, orange or green= 1/12×4=1/3
Probability of not red= 1-1/12
=11/12
Help me please
Thank you
Answer: 1.01
Step-by-step explanation:
4.09-3.08=1.01
54 =. x6 picture included
PLEASE HELPNI AM BEGGING YOI PLEASE!!!!!!! EXTRA POINTS AND BRAINLIEST!
Answer:
This is really tilted, and I CANNOT see! But it looks like ratio, on one of the parts. Sorry, but I don't know!
Jack bought a motorbike the original price was $1800 but he got a discount of 15% what was the discounted price of the bike
Answer:
$1530
Step-by-step explanation:
Hi there!
What we know
Original price was $1800There was a discount of 15%If this motorbike was on sale for 15% off, then we know that its discounted price is 85% of the original price (100-15=85)
Then, to find the discounted price, we multiply 1800 by 85%:
1800 × 85%
Change 85% into a decimal
= 1800 × 0.85
= 1530
Therefore the discounted price of the motorbike was $1530.
I hope this helps!
Question 4
1 pts
Snacks at a county fair are sold in containers shaped like a cone or a cylinder. The
dimensions of each container are shown in the drawing.
4 in.
3 in.
8 in.
12 in.
Which statement about the volumes of the cone and the cylinder is true?
Answer:
8 in
...............
...........
Answer: I just took the test so the answer would be...the volume of the cylinder is about 25 cubic inches greater than the volume of the cone
Step-by-step explanation: hope this helped thx for the points :D
Please help me it would mean the world. Extra points!
The answer is 15in^2 provided by my teacher I just need the work.
Which expression is equivalent to 15 + 35
Answer:
5(3+7)are equal to15+35
Step-by-step explanation:
5(3+7) five multiply the bracket
15+35
it help you
Answer:
C5(3+7)
Step-by-step explanation:
So, lets ingore the answers, and jsut try to break down 15+35
What can we take from both 15 and 35?
Well, 5 is the only one I can see in this.
So lets take 5 from this:
5(3 + 7)
We got 3 since 5x3 is 15, and we got 7 since 5x7 is 35.
So lets look at our answers and see if 5(3 + 7) is one of them
Well, looking at C, that is exactly 5(3 +7)
So c is our answer.
Hope this helps!
a pizza pan has a circumference of 34.54 inches. you are making homemade pizza crust and need to know the area pf the pan to determine how much dough to make what is the area of the pan
find the minimum of the data set.
Answer:
23,600.
Step-by-step explanation:
23|6
HELPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
[tex]16[/tex]
Step-by-step explanation:
[tex] {x}^{2} - 8x + c[/tex]
[tex] {x}^{2} + c - 8x[/tex]
To find the c value [tex]c = ( \frac{b}{2})^{2} [/tex] , divide the coefficient of x by 2 and square the result.
[tex]( - 1 \times 4 {)}^{2} [/tex]
[tex]( - 4 {)}^{2} [/tex]
[tex]16[/tex]
Hope it is helpful....What is the length of AE?
Answer:
1.5
Step-by-step explanation:
3/2
Here is a triangular prism. 4 cm 10 cm 5cm 5cm 6cm
A. What is the volume of the prism, in cubic centimeters?
B. What is the surface area of the prism, in square centimeters?
Answer:
(A) 120 cm³
(B) 184 cm²
Step-by-step explanation:
(A)
Assuming the diagram attached is thesame as the one needed to complete the question,
Applying
V = A'×L................... Equation 1
Where V = volume of the prism, A' = Area of the triangular base, L = Length of the prism.
But,
A' = 1/2bh............. Equation 2
Where b = base of the triangle, h = height of the triangle.
Substitute equation 2 into equation 1
V = 1/2bh(L)............... Equation 3
From the question,
Given: b = 6 cm, h = 4 cm, L = 10 cm
Substitute these values into equation 3
V = 1/2(6×4×10)
V = 120 cm³
(B)
Surface area of the prism(A) = bh+L(a+b+c).............. Equation 4
Given: b = 6 cm, b = 5 cm, c = 5 cm, L = 10 cm, h = 4 cm
Substitute these values into equation 4
A = (6×4)+10(5+5+6)
A = 24+160
A = 184 cm²
what is n x 567 =
457 + ae
wgv - 48765
Answer:
n x 567= 567n
457+ae= 457 + ae
wgv- 48765= wgv- 48765
Step-by-step explanation:
The last 2 are the same. Since they are not like terms, they can neither be added nor subtracted. Only like can be added or subtracted
SOMEONE HELP WITH THIS PLS
Answer:
0.1218
Step-by-step explanation:
What is the difference?
2x+5 3х+5 X+ 1
x² – 3x - gx x²-g
Answer:
I think 57+2x−3gx
2
Step-by-step explanation:
I need help please, I’m stuck
Answer:
x = 15
Step-by-step explanation:
In grade 8, there are 3 teachers for every 25 students. In the examination hallthe ratio of teachers to students is 15:125, Which of the following is true?
Answer:
3:25 = 15:125
15:125 is directly proportional to 3:25.
Step-by-step explanation:
Please dont skip!! Answer please. Will give branliest. NO LINKS PLZ
Answer:
Solution given:
area of semi circle h=½πr²=½×π×5²=39.27in²
area of rectangle EFHI=l×b=6×3=18in²
area of rectangle CDFG=l×b=17×2=34in²
Total area: 39.27+18+34=91.27 square inches
Area of upper right rectangle
3(6)18in²Area of top rectangle(square actually)
2(2)4in²Area of bottom rectangle
5(2)10in²Area of semicircle
πr²/2π(6+4/2)²/2π25/212.25π38.465in²Area of middle rectangle
2(10)20in²Total
18+4+10+38.465+2090.465in²
The table shows the distances of some places in town
from the school.
From least to greatest, order the locations by their
distance from school. From least to greatest ordered the locations by their distance from school. 1.Library- 3/5m 2.Post Office 1/2m 3.Park 3/4m 4.8/10m
WILL MARK AS BRAINLIEST!! ASAP
if y is inversely proportional to x and y = 7 when x = 9, find x when y = 14.
please please help me
1 . 6 8 10
2. 18 24 30
3. 10 5 5√5
4. 5 5 5√2
5. a a a√2
6. 3√3 3 6
An algebraic inequality is written in words. Which choice matches the statement?
"The product of 15 and a number, increased by 8 is at most 44."
A. 15n + 8 < 44
B. 15n + 8 > 44
C. 15n + 8 ≤ 44
D. 15n + 8 ≥ 44
Answer:
c
Step-by-step explanation:
it wouldnt be greater than or equal to because it says is at most so that means less than or equal to hope this helps
hii please help i’ll give brainliest
1.1 families
2.6
3.3
Step-by-step explanation:
i believe that the answer, am sorry if am wrong
Answer:
1.) 4
2.) 1 + 2 + 3 + 4 + 5 + 6 = 21 families
3.) 4 + 5 + 6 = 15 families
Hope this helps!
PLEASE HELP! i would really appreciate it thank you
A triangle has an area of 40 cm². The base and height are scaled by a factor of 4.
The area of the resulting triangle is ___ square cm.
Answer:
7
Step-by-step explanation:
I need help with finding the volume of this rectangle and also what formula you used so I can understand it. Thanks
Answer:
Step-by-step explanation:
Equation
The volume formula is
V = L * W * H
Givens
From the diagram
L = 6 mi
W = 2 mi
H = 5 mi
Solution
V = 6 * 5 * 2
V = 60 cubic miles
What is the equation of the line perpendicular to y = -x+6 that passes through the
2
point (4, 1)?
Answer:
[tex]y=x-3[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Perpendicular lines always have slopes that are negative reciprocals (ex. 3 and -1/3, 1/2 and -2, etc.)1) Determine the slope (m)
[tex]y = -x+6[/tex]
Looking at the given line, we can identify clearly that -1 is in the place of m, making it the slope of the line. Because perpendicular lines have slopes that are negative reciprocals of each other, we know that the slope of the line we're solving for is 1. Plug this into [tex]y=mx+b[/tex]:
[tex]y=x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=x+b[/tex]
Plug in the given point (4,1)
[tex]1=4+b[/tex]
Subtract 4 from both sides
[tex]1-4=4+b-4\\-3=b[/tex]
Therefore, the y-intercept is -3. Plug this back into [tex]y=x+b[/tex]:
[tex]y=x-3[/tex]
I hope this helps!
Find the missing angle.
Round to the nearest tenth.
B = 50°
b = 8
a = 10
A = [?]"
Answer:
73.2
Step-by-step explanation:
acellus
Answer:
The answer is 73.2 for Acellus people
Step-by-step explanation: