The first term of the geometric sequence is 2 and the common ratio is 5. So, the 12th term of the geometric sequence is 97656250.
Geometric sequence:Important information:
Given geometric sequence is 2, 10,50,...We need to find the 12 th term.
In the given geometric sequence, the first term is [tex]a=2[/tex] and the common ratio is [tex]d=\dfrac{10}{2}=5[/tex].
The nth term is:
[tex]a_n=ar^{n-1}[/tex]
Where [tex]a[/tex] is first term, [tex]r[/tex] is common ratio.
The 12th term is:
[tex]a_{12}=2(5)^{12-1}[/tex]
[tex]a_{12}=2(5)^{11}[/tex]
[tex]a_{12}=97656250[/tex]
Therefore, the 12th term of the geometric sequence is 97656250.
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Answer: 97656250.
Step-by-step explanation:
dm
Which statement is true about 1?
A. It is a prime number.
B. It is a composite number.
C. It is a whole number that is neither prime nor composite.
D. It is not a whole number.
Please dont be greedy and answer the question saying something like "i have no idea" Thanks
Answer:
C. It is a whole number that is neither prime nor composite.
Step-by-step explanation:
A prime number is a number that has two factors: one and another number. Thus, since 1 only has one factor (itself), it cannot be a prime number.
However, a composite number must have more than two factors, which 1 doesn't have either.
Since 1 is a whole number (not a decimal or fraction), and it is neither prime nor composite, the answer would be C.
Have a nice day!
Answer:
C!
Step-by-step explanation:
hope it helped
Select the better deal in the pair. Then give the unit rate for the better deal.
$56/25 gal
or
$32.05/15 gal
Answer:
The better deal is $32.05/15 gal
Step-by-step explanation:
Divide:
56/25
=2.24
32.05/15
=2.13666667
=2.14
what are the domain and the range
Answer:
Domain 1,3,5,7,9,11
Range 5,6,7,8,9,10
Michelle has 3
3 cups of cereal. A serving of cereal is cup. How many servings of cereal does Michelle have?
Answer: 4/5
Step-by-step explanation:
mZ1 = 6x and mZ3 = 120 Find the value of x when p is parallel to g.
Answer:
20
Step-by-step explanation:
m Z1=mZ3 = 120
120÷6=20
X=20
what is 0.969696 repeating as a fraction?
Answer:
[tex]\frac{32}{33}[/tex]
HELP!! Kate gets a paycheck twice a month. Every month, a total of $345.67 is deducted from her paychecks for taxes. If she has received 7 paychecks so far this year, which best represents the total effect the taxes have had on the amount she has earned??
–$2,419.69
–$1,209.85
$1,209.85
$2,419.69
The answer is 2,419.69
Answer:
d
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which pair of numbers shows an integer and its opposite?
1 point
A.7 , -7
B.7 , 1/7
C.-7 , 1/7
D.1/7 , 1/7
can someone please help me with please and thank you
Answer:
47 DEGREES
Step-by-step explanation:
AOB + BOC = 180 (STRAIGHT LINE)
THEREFORE
(3x + 124) + (6x + 29) = 180
9x + 153 = 180
9x = 27
x = 27/9
x = 3
THEREFORE
6x + 29
(6*3) +29
18 + 29
47 DEGREES = BOC
PLEASE HELP I ONLY HAVE 17 MORE MINUTES!!!!
Answer:
A. 6
Step-by-step explanation:
6/1 = 6
Tell me a fun fact about horses I will give brainliest to whoever tells me one I don’t know (I have been riding for 12 years) so I know a lot about horses also don’t answer this just for the points or else you will get reported
Answer:
Horses can sleep both lying down and standing up.
Step-by-step explanation:
Simplify the expression.
4² . 4². 4²
Answer:
16.16.16
Step-by-step explanation:
please let me know if I'm wrong
but I learned that you don't do 4×2 you have to multiply 4 twice by itself so it would be 16 because 4×4=16
what is a tanslation in math
Answer:
A translation moves a shape up, down or from side to side but it does not change its appearance in any other way. Translation is an example of a transformation. A transformation is a way of changing the size or position of a shape. Every point in the shape is translated the same distance in the same direction
Step-by-step explanation:
Convert 2x + 37y = 18 to point-slope form.
Answer:
y = -2/37x + 18/37
Step-by-step explanation:
2x + 37y = 18
-2x -2x
37y = -2x + 18 (Divide 37 on both sides)
Y = -2/37x + 18/37
Drag the tiles to the correct boxes. Not all tiles will be used.
Match each equation with a value of x that satisfies it.
Answer:
2, - 3, 18
Step-by-step explanation:
1). [tex]\sqrt[3]{1-x}[/tex] = - 1
( [tex]\sqrt[3]{1-x}[/tex] )³ = ( - 1)³
1 - x = - 1 ⇒ x = 2
2). [tex]\sqrt{x^2 +7}[/tex] = 4
( [tex]\sqrt{x^2 +7}[/tex] )² = 4²
x² + 7 = 16 ⇒ x = ± 3 ; x = - 3
3). [tex](x-2)^{\frac{1}{4} }[/tex] = 2
[tex][(x-2)^{\frac{1}{4} }] ^{4}[/tex] = [tex]2^{4}[/tex]
x - 2 = 16
x = 18
3. Formulate 900 lbs of a 35% CP ration using Soybean Meal (46% CP) and Oats (12% CP). How many pounds of soybean meal will be used? How many pounds of oats will be used?
Answer:
The amount of Soyabean = 608.82 pounds.
The amount of Oats = 900-608.82 = 291.18 pounds.
Step-by-step explanation:
Given that the Soybean Meal has 46% CP and Oats has 12% CP.
The total amount of ration is 900 lbs of 35% CP.
Let x pounds of Soyabean has been used, so,
the amount of Oats = 900-x lbs.
The CP amount in 900 lbs mixture will be equal to the sum of CP amounts in x lbs Soyabean and 900-x lbs Oats, i.e
35% of 900 = 46% of x + 12% of (900-x)
[tex]\Rightarrow \frac{35}{100}\times 900=\frac{46}{100}\times x+\frac{12}{100}\times (900-x)[/tex]
[tex]\Rightarrow 35\times 900 = 46x + 12\times 900 - 12 x[/tex]
[tex]\Rightarrow 34x= 900(35-12)[/tex]
[tex]\Rightarrow x = (900\times 23)/34[/tex]
[tex]\Rightarrow x = 608.82[/tex] lbs.
So, the amount of Soyabean = 608.82 pounds.
The amount of Oats = 900-608.82 = 291.18 pounds.
HELP!!
Select the correct answer.
Scientists studying biodiversity of amphibians in a rain forest have discovered that the number of species is decreasing by 2% per year. There are currently 74 species of amphibians in the rain forest. Which logarithmic function models the time, , in years, it will take the number of species to decrease to a value of n?
Answer:
Option A: f(x) = log_0.98 (n/74)
Step-by-step explanation:
We are told that that the number of species is decreasing by 2% per year.
Thus, number of species each year is 98% or 0.98 of number of species the previous year. .
We are told that there are currently 74 species of amphibians in the rain forest.
Thus, n/74 will represent a fraction of the current number of species.
Thus, the logarithmic function that models the time can be written as;
f(x) = log_0.98 (n/74)
Answer:
A. f(n) = log0.98(n/74)
(got it right on edmentum)
for your assurance please look at the picture below↓If a train travels 1,600 km in 16 hours, how fast is it moving?
Answer:
100km per hour
Step-by-step explanation:
16/16= 1 hour
1600/16= 100
the value of y varies directly with x. when y = 7.5, x = 5. what is the value of y when x = 80?.
Answer:
Step-by-step explanation:
120 = y. the ratio is 3:2
80/2 is 40
40 times 3 is 120
120:80 = 3:2
what is 2/5 of 110??
Answer:
44
Step-by-step explanation:
Remember that "of" in math means the same as multiplication.
2/5 * 110 = 44
Answer:
44
Step-by-step explanation:
2/5×110
of in mathmatics means multiplication
Therefore, the answer is 44
one step equations, solve:
-6=y+2
Add, subtract, multiply or divide all for of these numbers to get a result equal or close to 51.
Numbers: 7, 8, 5, 6
You cannot add any new numbers. Please help i've been stuck on this for an hour now. :(
Seth's family plans to drive 220 miles to their vacation spot they would like to compare the drive in 4 hours
Answer:
i think the answer is 55.
Step-by-step explanation:
220 divided by 4 = 55.
Answer:
i don t think i completely understand but they drive 55 miles every hour
Step-by-step explanation:
if this is not your question plz clarify so i can help :)
A high school coach needs to buy new athletic shorts for 15 members of the basketball team. The coach must spend less than $200 and needs to determine how much he can spend per pair of shorts.
Answer:
Well i dont know the answers but it is 13.33
Step-by-step explanation:
He can spend 13 dollars per pair of shorts
Brody had his computer repaired at Store A. His bill was:
Initial Repair Cost = $1,200
Sales Tax of 6 percent = $72.00
Gratuity of 15 percent
Explain how you would calculate the gratuity for the
services provided.
Answer:
Add the repair cost and tax to get the total amount. Then multiply the total amount by 0.15 to find the gratuity.
Step-by-step explanation:
This is sample response
The gratuity for the services provided is $190.8 if the Initial Repair Cost = $1,200, the Sales Tax of 6 percent = $72.00, and the Gratuity of 15 percent.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
Brody had his computer repaired at Store A. His bill was:
Initial Repair Cost = $1,200
Sales Tax of 6 percent = $72.00
A gratuity of 15 percent
Total cost = 1200 + 72 = 1272
The gratuity for the services provided = 0.15x1272 = $190.8
Thus, the gratuity for the services provided is $190.8 if the Initial Repair Cost = $1,200, the Sales Tax of 6 percent = $72.00, and the Gratuity of 15 percent.
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PLEASE HELP! ILL GIVE YOU BRAINLIEST!
Answer:
A.
Step-by-step explanation:
It is the final step when doing math like that.
0.62, 0.38, 0.35, 0.49, 0.1, 0.21, 0.54, 0.6, 0.51, 0.28 Least to Greatest *
Answer:
0.25
Step-by-step explanation:
Answer:
0.1, 0.21, 0.28, 0.35, 0.38, 0.49, 0.51, 0.54, 0.60, 0.62.
Percy planted 4 tomatoes plants the first week of spring. He planted 11 tomato plants the second week of spring. What is the percent increase in the number of plants Percy planted?
Answer:
[tex]\%\ Increase = 175 \%[/tex]
Step-by-step explanation:
Given
[tex]Initial = 4[/tex]
[tex]New = 11[/tex]
Required
Determine the percentage increase
This is calculated using the following formula:
[tex]\%\ Increase = \frac{|New - Initial|}{Initial} * 100\%[/tex]
[tex]\%\ Increase = \frac{|11 - 4|}{4} * 100\%[/tex]
[tex]\%\ Increase = \frac{|7|}{4} * 100\%[/tex]
[tex]\%\ Increase = \frac{7}{4} * 100\%[/tex]
[tex]\%\ Increase = 1.75 * 100\%[/tex]
[tex]\%\ Increase = 175 \%[/tex]
4. A map has a scale of 1 inch = 100 miles. The distance between two cities is 7.25 inches. If a car travels
50 miles per hour, about how long will it take to get from one city to another?
hours
Answer:
14.5 hours/14 hours 30 minutes
Step-by-step explanation:
The distance between the two cities is 7.25•100=725 because you multiply the scale distance by the scale.The number hours is 725/50=14.5 hours because you divide the distance by 50 (the miles per hour).Write the equation of the line through the given points (3, 5) and (-3,-3) in the three different forms.
Point-Slope Form
Slope-Intercept Form
Standard Form
Answer:
y-5=1/3(x-3)
y=1/3x+4
no standard form
Step-by-step explanation: