Answer:
x = 1 and -2
Sum of the first ten terms = 1,398,100
Step-by-step explanation:
Given the geometric progression 2x+2, 16, 64x...
Since they are in GP, their common ratio is expressed as;
16/2x+2 = 64x/16
16/2(x+1) = 4x
8/x+1 = 4x
Cross multiply
4x(x+1) = 8
4x²+4x = 8
4x²+4x - 8 = 0
divide through by 4
x²+x - 2 = 0
Factorize
x²+2x-x- 2 = 0
x(x+2)-1(x+2) = 0
(x-1)(x+2) = 0
x = 1 and -2
Hence the values of x are 1 and -2
Get the common ratio;
r = 16/2x+2
Since x = 1
r = 16/2(1)+2
r = 16/4
r = 4
Sum of the first n terms is expressed as;
Sn = a(rⁿ-1)/r-1
a = 2x+2
a = 2(1)+2
a = 4
Substitute;
S10 = 4(4^10 - 1)/4 - 1
S10 = 4(1,048,576-1)/3
S10 = 4,194,300/3
S10 = 1,398,100
Hence the sum of the first ten terms is 1,398,100
If a toaster produces 15 ohms of resistance in a 120-volt circuit, what is the amount of current in the
circuit?
Answer:
8
Step-by-step explanation:
A toaster produces 15 ohms resistance
The volt is 120
Therefore the current can be calculated as follows
= 120/15
= 8
Hence the current is 8 Amp
7.8 -3.3 - (-1.2) + 4.3
Answer:
10
Step-by-step explanation:
at a certain college, the ratio of men to women is 6 to 5. If there are 1,500 men how many women are there?
Answer:
1250 women
Step-by-step explanation:
1500 / 6 = 250
250 x 5 = 1250
hope this helps
Answer:
There are 1,250 women
Step-by-step explanation:
If the ratio of men to women is 6 to 5, and there are 1,500 men, the actual ratio of men to women is 1,500 to x, where x is equal to the amount of women at the college.
Since 6/5 is equal to 1,500/x, you cross multiply to find that 7,500 is eual to 6x.
Divide both sides by 6 to find that x is equal to 1,250 women.
A rectangular patio is 8 feet by 11 feet. What is the length of the diagonal of the patio?
answer:27
if you divide then multiply then subtract you eill get iy
Answer:
13.6
Step-by-step explanation:
pythagorean theorem
A cylindrical container has a diameter of 5 inches and a height of 12 inches. The container will be wrapped and delivered as a gift. What measurement is closest to the amount of wrapping paper needed to cover the container without overlap?
Answer:
Step-by-step explanation:
1. Write your formula
2. Plug it in
3. Solve
these steps will help you out with all of your surface area problems.
Like this
Since it is a diameter you have to divide the diameter by 2. That will get you your radius. Then you write your formula for a cylinder. Your formula is...
V = Bh (Pie is also known as 3.14)
your big (B) is (pie times r squared) Then you add your height.
so your formula will look like this...
V = pie times r squared...
the full formula will be...
V = (3.14) times (2.5 squared) times the height which in this case is (12)
everything together will be...
V = (3.14) (2.5^2) (12)
all you have to do is multiply all of that and you will get your answer.
The answer is...
V = 236 inches ^2 (Just a tip, the ^ sign means to the power of)
Name the property shown. 12(6) = 6(12) *
it's the commutative property!
Answer:
Commutative Property
Step-by-step explanation:
12(6) = 6(12) it is known as Commutative Property.
-TheUnknownScientist
The ordered pairs shown below are on the same line. (6,4) (12.6) Which equation describes the relationship between the x-coordinates and y-coordinates in the ordered pairs?
a. y = 3x - 14
B.y = 3x - 6
C. y= 1/3x + 2
PLS HELP?!??!
Jane needs to fix a piece of broken siding on the side of her house. The top of the
ladder is placed is 8 feet high above the ground and the base of the ladder will be
placed 6 feet away from the house.
What is the length of the ladder? Round to the nearest whole number.
Answer:
ladder length = 10 feet
Step-by-step explanation:
using the Pythagorean theorem:
8² + 6² = length²
64 + 36 = length²
length² = 100
length = 10 feet
Since the sanctuary was established, the estimated population of American robins in the area has increased from 86 to 102. Describe the percent change in the estimated population of American robins. Round to the nearest whole percent
The answer is 84 percent. I hope this helps
Can you please mark me brainiest if I am correct? Thank you and have a nice day!
The perimeter of a square is 52 meters. What is it area.
Answer:
169 meters
Step-by-step explanation:
52/4=13 (since it's a square you divide it by 4 because the sides are equal, so each side is 13 meters)
13^2=169 (to find the area you square the length of each side)
need help asap will give brainly
Answer:
D
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
find the value of x
please help
Answer:
x = 36.25
Step-by-step explanation:
4x + x + 35 = 180
5x + 35 = 180
-35 -35
4x = 145
divide by 4
x = 36.25
Answer
x=29
Step-by-step explanation:
A linear pair is here, meaning that the two angles share an adjacent side, So they both add up to 180
Mrs. Tran washed 2/5 of her laundry. Her son washed 1/3 of it. How much of the laundry still needs to be washed?
Answer:HIS SON DID
Step-by-step explanation:
His son: 1/4 = 25%
Mr. Strand: 2/5 = 20%
They also need 55% more to wash or in other words 11/20.
HOPE THIS HELPS HAVE A AWESOME DAY❤️
Rearrange F=W^2 to make W the subject
Answer:
[tex]W=\sqrt{F}[/tex]
Step-by-step explanation:
The given relation is as follows :
[tex]F=W^2[/tex]
We need to rearrange it to make W the subject.
When square gets removed from W, it goes to F and it will form as follows :
[tex]W=\sqrt{F}[/tex]
Hence, this is the required solution.
25 more than a number is 32
Please help and thanks!~
~~~~~~~~~~~~~~~~~~~~~~~
20 points!~
Answer 1:
Let's solve your inequality step-by-step.
−3x<54
Step 1: Divide both sides by -3.
−3<54
-3 −3
x>−18
Answer:
x>−18
Answer 3:
Let's solve your inequality step-by-step.
x
-
4≥11
Step 1: Simplify both sides of the inequality.
1
-
4 x≥11
Step 2: Multiply both sides by 4.
4*(1/4
x)≥(4)*(11)
x≥44
Answer:
x≥44
Graph them yourself sorry hope this helps tho
HELP PLEASE!
Use the distributive property and combine like terms to simplify the expression.
5(7−x+5)
pleasee helpppppppppppppp
Answer:
2 boxes lol
Step-by-step explanation:
A taxi ride in Boston costs $11 for 2 miles, and $18 for 4 miles. How
much would it cost to go 10 miles?
Answer:
49.2
Step-by-step explanation:
Answer: $55
Step-by-step explanation:
$11 divided by 2 = $5.50
$5.50 x 10 = $55
please help does anyone know the answer to this?
Answer:
M = 95°
N = 67°
Step-by-step explanation:
180 - 162 = 18°
6y + 5 + 4y + 7 + 18 = 180
10y + 30 = 180
10y = 150
y = 15
M: 6(15) + 5 = 95°
N: 4(15) + 7 = 67°
Verification: 95 + 67 + 18 = 180° (correct)
Please help I need to hurry and get my missing assignments done.
Answer:
the answer is 4.45
Step-by-step explanation:
Answer:
B 4.45
Step-by-step explanation:
13.35 dived by 3 = 4.45
hope this helps
Evaluate the following expression when h = 3
4 (h + 2)
Answer:
20
Step-by-step explanation:
Substitute the given value (h = 3), into thte expression (4 (h + 2)), then simplify to evaluate the expression.
4 ((3) + 2)
4 (5)
20
what is the degree of the polynomal −5x^4y^3z + 3y^4 −7 y^3z^3
Answer:
4 !!!
Step-by-step explanation:
(Select all that apply)
AC=DF
C=F
A=F
CB=FE
Answer:
AC=DF, C=F, CB=FE
Step-by-step explanation:
triABC is congruent to triDEF
The sides and order of the letters match up for those 3 answers
ANOTHER ONE AGAIN PLSSSSS
Answer:
Luka had 6 slices, Kira had 9 slices and Ali 12 slices
Step-by-step explanation:
Each had 2/3 of their slices hence
Luka = 3/2 x 4 slices = 6
Kira = 3/2 x 6 slices = 9
Ali = 3/2 x 8 slices = 12
What two numbers add up to 9 and multiply to 20
Answer:
5,4
Step-by-step explanation:
Answer: 5 and 4
Step-by-step explanation:
So, 5 + 4 = 9
and 5 x 4 = 20
Im glad I helped =)
if 4 pencils coast $8.00 how much would one coast
Answer:
Each one costs $2.00
Step-by-step explanation:
$8.00/4 = 2
Answer:
1 pencil would cost 2 dollars although that is an extremely expensive pencil I reccomend you dont buy it
Pls help i will give brainly
Answer:
Exact Form:
248832 - 3 1/3 over 59
Decimal Form:
4217.46708051 or 4217.5
Step-by-step explanation:
At a zoo, the lion pen has a ring-shaped sidewalk around it. The outer edge of the sidewalk is a circle with a radius of 12 m. The inner edge of the sidewalk is a circle with a radius of 8 m.
Write and simplify an expression for the exact area of the sidewalk.
Find the approximate area of the sidewalk. Use 3.14 to approximate π.
Answer:
The answer would be 251.2 for the side walk if the radius for the whole circle is 12 and the small circle's radius would be 8. Only for the answer with the 8 m and 12 m radius NOT the 11m and 9 m
The equation would be:
144 x 3.14 - 64 x 3.14 = 251.2
Step-by-step explanation:
First, you need to find out what the whole circle is:
The whole circle is 452.16
Then, find the inner circle :
8 x 8 x 3.14
200.96
Last, subtract the whole by the inner:
452.16 - 200.96 = 251.2
hope this helps!
vertical angle with 60 and 5x-10 equals x degrees what is x
Answer:
x=14
Step-by-step explanation:
Hey There!
vertical angles are congruent so
5x-10=60
now we can solve for x
step 1 add 10 to each side
-10+10 cancels out
60+10=70
now we have
5x=70
step 2 divide each side by 5
70/5=14
we're left with x=14
~TheMathWiz