Step-by-step explanation:
Geometric sequences are of the form a * b^x, where a and b are real constants.
We have a * b⁴ = 234 and a * b⁶ = 104.
Dividing the second equation by the first,
we get b² = 4/9, so b = 2/3.
When x = 4, a * b⁴ = 234.
=> a * (2/3)⁴ = 234, a = 1184.625
Hence the explicit rule
is a(n) = 1184.625 * (2/3)^n.
Answer:
Hence the explicit rule is a(n) 1184.625 *(2/3)^n.
Simplify the following question
x+9-10=500
Step-by-step explanation:
x+9-10=500
x-1=500
x=500+1=501
Step-by-step explanation:
solution
here,
given,
x+9-10= 500
or, x-1= 500
or, x= 500-1
or, x= 499
hope this helps u...
Answer two questions about Systems A and B:System A x+3y=−9 2x+y=4 System B 3x+4y=−9 2x+y=4
Answer:
A=(21/5,-22/5) B=(5,-6)
Step-by-step explanation:
Find the product
5/8 of 24
A. 8
B.15
C.11
D.9
Answer:
15
Step-by-step explanation:
Dupa ce a cheltuit in prima zi 0.4 dintro suma de bani iar in a doua zi o treime din ceea ce ia ramas. Damian mai poate cheltui 60 lei. Ce suma a avut initial?
Răspuns:
150 Lei
Explicație pas cu pas:
Fie suma inițială = x
Cheltuieli în prima zi = 0,4x
Cheltuieli pentru a doua zi = 1/3 (x - 0,4x)
Suma rămasă = 60
x = 0,4x + 1/3 (0,6x) + 60
x = 0,4x + 0,2x + 60
x = 0,6x + 60
x - 0,6x = 60
0,4x = 60
x = 60 / 0,4
x = 150 Lei
A boat travels 336 miles in 67
hours (with a constant speed).
How far can it travel in 58 hours
(with the same speed)?
Answer:
290.87 miles
Step-by-step explanation:
336 miles - 67 hours
x miles - 58 hours
Cross multiply
67x = 336 x 58
67x = 19488.
Divide both sides by 67
x = 19488/67
x = 290.87 miles
I RESLLY NEED THIS NOW
The simple interest owed on a loan of $5,600 after 4 years is $1,008. What percent
represents the annual interest rate on the loan? Record your answer on the grid.
What Is The Estimated Weight Of Three Containers Weighing 1.656 kg each? (Math 5 Quarter 2, Week 5) I Need A Nice And Clear Answer
Answer:
[tex]Estimate = 5.0kg[/tex]
Step-by-step explanation:
Given
[tex]Weight = 1.656kg[/tex]
Required
Determine the estimated for 3 containers
Since the weight of all containers are the same, we simply multiply the given weight by the number of containers.
i.e.
[tex]Estimate = Number\ of\ containers * Weight\ of\ each[/tex]
[tex]Estimate = 3 * 1.656kg[/tex]
[tex]Estimate = 4.968kg[/tex]
[tex]Estimate = 5.0kg[/tex] --- approximated
So, the estimated weight is 5.0kg
Kaitlyn solved the equation 5y=15 and found answer to be y=75. In complete sentence or two, explain what kaitylns error was? What did she do wrong? What is correct answer? Show your work and explain reasoning
Answer:
3
Step-by-step explanation:
Instead of dividing, Kaitlyn multiplied both sides by 5. Divide both sides by 5 to get the y by itself and you get 3
Answer:
y=3
Step-by-step explanation:
She assumed y=75, but if y=75 then you would multiply 75×5 and that doesn't equal 15. To find y you would need to divide 5 from both sides. Therefore 15÷5 would be equal to y=3. Hope this helps!
Find Lowest common factor of following questions .
56, 42, 28
Answer:
[tex]\boxed{\textsf{ The LCM of 56 , 42 , 28 is \textbf{ 168}.}}[/tex]
Step-by-step explanation:
We need to find out the LCM of 56 , 42 , 28 . So Lowest Common Multiple known as LCM is the lowest multiple which is divisible by all the numbers whose LCM is taken out . It can we done by two methods. Both of which are discussed in the attachment .
For complete solution kindly refer to the attachment .
Related Information :-
• HCF :-
It stands for Highest Common Factor . It is the highest numbers which divides out completely the numbers without leaving remainder of the numbers whose HCF is we are finding out .Find the SA if this Square Pyramid:
(Don’t forget all 4 sides of the square are the same length which also means all four lateral triangles will be the same area)
Step-by-step explanation:
Sa = b • h/ 2 = 5 • 11 /2 = 55/2 = 27.5ft²
Which one is prime 32,42,29,15
Answer:
29
Step-by-step explanation:
32 can be created from 4 x 8, so it is not.
42 can be created from 6 x 7, so it is not.
15 can be created from 5 x 3, so it is not.
29 cannot be created from any numbers multiplied.
Last Year
5. The frequency table shows the scores from rolling a dice 10 times.
Score Frequency
1 2
2 2
3 1
4 0
5 3
6 2
work out the mean
Answer:
3
Step-by-step explanation:
The computation of the mean is shown below:
= Total sum ÷ number of observations
= (1 + 2 + 2 + 2 + 3 + 1 + 4 + 0 + 5 + 3 + 6 + 2) ÷ 12
= 31 ÷ 12
= 2.58
= 2.6
= 3
Which equation is equivalent to 12crt x+15 = 36?
Answer:
Step-by-step explanation:
[tex]12\sqrt[3]{x+15} = 36\\\\[/tex]
Divide both sides by 12
[tex]\frac{12\sqrt[3]{x+15}}{12}=\frac{36}{12}\\\\ \sqrt[3]{x+15} =3[/tex]
Answer:
the first option is correct!!
A garden is made up of flowers and shrubs in the ratio 6:11. If there are 48 flowers in your garden, how many shrubs are there?
The answer, please ASAP
Answer:
Step-by-step explanation:
que tu hablas español¿
A concave octagon
B convex quadrilateral
C concave quadrilateral
D convex octagon
Answer: concave
Step-by-step explanation:
solve for x: -1< x+3 <5
Answer:
Im not sure but i belive the answer is −4<x<2
Determine the domain and the range of the graph.
Answer:
Domain: (-∞,∞)
Range: -1
Step-by-step explanation:
Domain means the x-coordinates covered:
(-∞,∞)
Range means the y-coordinates covered:
Only -1 because there are no other existing y-coordinates.
please help i’m stuck on my geometry hw. :(
Answer:
the reflection line would be x=k, so it would be (4,7) I believe, I may not be correct since I haven't done these for a while.
Step-by-step explanation:
You have to spend less than $500 at the mall. Each pair of pants costs $25 and each shirt costs $10. Write an inequality to represent the situation. Let x represent the number of pants you buy and let y represent the number of shirts you buy.
Answer:
25x+10y<500
Step-by-step explanation:
Answer:
25x+10y<500
Step-by-step explanation:
25 times number of pants purchased plus 10 times number of shirts purchased must be less than 500
Question 2 of 5
What value(s) of x will make x2 = 36 true?
O A V6
B. 8 and -8
C. 6
D. 6 and -6
Answer:
it was actually D i just got the question wrong because of that person
Step-by-step explanation:
The graph of h(x) = g(x + 5) has
Answer:
Step-by-step explanation:
ABCD is a quadrilateral.
a) Calculate the value of x.
to
+
D
1380
12x°
b) When ABCD is drawn to scale, would
the lines AD and BC be parallel or not? A
You must justify your answer without
using a scale drawing.
B
Diagram not drawn to scale
+
Answer:
Step-by-step explanation:
∑ angles = 360°
2x + 90 + x + 3x = 360
6x = 270
x = 45°
:::::
∠A = ∠B, so AD and BC are parallel.
[tex] {3}^{x ^{2 - 1} } = \frac{ {27}^{ - x} }{3 } [/tex]
Answer:
-1/4
Step-by-step explanation:
lions spend about 5/6 of their day sleeping. how many hours a day does a lion sleep? write an equation to model your work
Answer:
20 hours a day.
Step-by-step explanation:
( 5 / 6 ) x 24 = 20
23h^3-46h^2-48+24h pls help
Answer:
(h−2)(23h^2 +24)
Step-by-step explanation:
23h
3
−46h
2
−48+24h
Do the grouping 23h
3
−46h
2
−48+24h=(23h
3
−46h
2
)+(−48+24h), and factor out 23h
2
in the first and 24 in the second group.
23h
2
(h−2)+24(h−2)
Factor out common term h−2 by using distributive property. Polynomial 23h
2
+24 is not factored since it does not have any rational roots.
(h−2)(23h
2
+24)
Mr Morris built a fence to enclose his yard he put 3/4 of the fence on Monday on Tusday he put up 1/6 of the fence and on wensday he put up the rest of the fence what portion of the fence on Wensday
Answer:Portion put up on Wednesday =1/12
Step-by-step explanation:
Since we are dealing with fraction
Let the total fence = 1 whole
such that fence put up on Monday = 3/4
and fence he put p on Tuesday = 1/6
Since he put up the rest on Wednesday, To find the portion put up we have that
Portion put up on Wednesday =Total portion of fence - ( Portion put up on Monday and Tuesday)
=1- ( 3/4 + 1/6)
= 1- 18+ 4/ 24
=1- 22/24
= 2/24
Portion put up on Wednesday =1/12
Answer:
Step-by-step explanation:
Levi buys eggs and lemons at the store.
• He pays a total of $29.33.
• He pays a total of $5.39 for the eggs.
• He buys 6 bags of lemons that each cost the same amount.
How much does each bag of lemons cost?
Answer:
Each bag of lemons cost $3.99.
Step-by-step explanation:
29.33 - 5.39 = 23.94
23.94 / 6 = 3.99
Help please
Look at picture
Supplementary angles
Answer:
Both are supplementary angles so
(2x-3) +71 = 180
2x - 3= 180 - 71 = 109
2x = 109 +3 =112
X = 112 / 2= 56
x = 56
The Johnsons are having a family reunion and they want to order T-shirts. 36 people will be
attending the reunion. There will be twice as many children as adults at the reunion. Set up a
system of equations that represents the numbers of adults and children that are attending the
reunion and solve the system to figure out how many adult and child T-shirts they need to buy.
(hint: let a=the number of adults, and c=the number of children)
Answer:
a= 12, c= 24
The Solution:
a=?, c=?, No. of people attending=36
since c is twice as many as a, a= 2a
a + 2a= 36
3a= 36
(divide both sides by 3)
3a/3=36/3
a= 12
therefore, a= 12
since c is equals to 2a,
2a= 2(12)
2a= 24
therefore, c= 24
A skateboard costs $240. The sales tax on the skateboard is $12. What the percent of the sales tax?
Answer:
5%
Step-by-step explanation:
12 divided by 240 is 0.05, which is a PERCENTAGE FRACTION (as I like to call it).
This means that you can easily make this into a percentage.
Example Percentage Fractions:
A whole number, like 1 for example, is 100% or more.
The number 1 is 100%, and 2 is 200% and 4.25 is 425%
But since 12 divided by 240, in this problem, is 0.05, it is 5%.
Example are:
0.08 is 8%
0.02 is 2%
0.43 is 43%
0.79 is 79%
It's pretty simple.
Sorry if this isn't very good, I'm not a good teacher XD
Hope this helps :D
