Answer: First three terms are 1/25, 1/5, and 1 in that order.
===========================================================
Explanation:
The fifth term is 25, which makes the fourth term to be 25*(1/5) = 5. We multiply any term by the reciprocal of the common ratio to move back to the previous term.
The third term is 5*(1/5) = 1. The second term is 1*(1/5) = 1/5. The first term is (1/5)*(1/5) = 1/25
Therefore, the first five terms are:
1/25, 1/5, 1, 5, 25
As we move from left to right, we multiply each term by 5. Going in reverse, we multiply by 1/5.
The first three terms of the sequence are 0.04, 0.2, and 1.0.
What is a geometric sequence?A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.
We have,
To find the first three terms of a geometric sequence, we need to use the formula for the nth term of a geometric sequence:
[tex]a_n = a_1 \times r^{n-1}[/tex]
where [tex]a_n[/tex] is the nth term of the sequence, [tex]a_1[/tex] is the first term, r is the common ratio, and n is the number of the term we want to find.
We are given that,
[tex]a_5[/tex] = 25 and r = 5.
We can use this information to find [tex]a_1[/tex]:
[tex]a_5 = a_1 \times r^{5-1}[/tex]
[tex]25 = a_1 \times 5^4[/tex]
25 = [tex]a_1[/tex] x 625
[tex]a_1[/tex] = 25/625
[tex]a_1[/tex] = 0.04
Now that we have found [tex]a_1[/tex], we can use the formula to find the first three terms of the sequence:
[tex]a_1[/tex] = 0.04
[tex]a_2[/tex] = 0.04 x 5 = 0.2
[tex]a_3[/tex] = 0.04 x 5² = 1.0
Therefore,
The first three terms of the sequence are 0.04, 0.2, and 1.0.
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ALGEBRA 2 - Exponential and Logarithmic Functions
April invests $500 in an account that is compounded continuously at an annual interest rate of 5%. Approximately how many years will it take for April’s money to double?
Answer:
It will take approximately 14.2 years for April’s money to double.
Step-by-step explanation:
a line is parallel to the y=x-8 and intersects the point (4,-9). What is the equation of this parallel line? Start by entering this into point-slope form
Answer:
sry i dont no
Type the correct answer in each box. Use numerals instead of words.
For linear functions v and w, v(10) = 12, and w(10) = 9.
(V+ W/(10) =
(V-W(10) =
(VW(10) =
Identify one exterior angle.
Help please
PLZ HELP QUICK!!!
Does the data provide statistical evidence that women pay more than men for the same catalytic converter repair?
Answer:
Yes,the data provide convincing statistical evidence that at women pay more than men for the same catalytic converter repair
-(-10x-6)-6=-9x
Solve for x
Answer:
x=0
Step-by-step explanation:
Solving the equation:
10x+6-6=-9
10x=-9x
19x=0
x=0
What are the Miller indices for the plane shown in the following cubic unit cell and Explain why? O (201) O (10 1/2) O (1 infinity 1/2) O (102)
The plane intercepts on the x,y, z axes are 1, ∞, and 1/2. Hence, the Miller indices for the plane inside the cubic unit cell is (102).
Miller indices are used to specify planes and directions. These planes and directions could be in lattices or crystals. The number of indices will correspond to the size of the lattice or crystal.
Steps to find the Miller indices:Determine intercepts of the planes with the x, y, and z axes.Use fractional coordinates to specify intercepts.Take the reciprocals of the fractional interceptsIn the given graph, the plane intercepts are:
x-intercept : 1
y-intercept : ∞ (since the planes does not intercept y-axes)
z-intercept = 1/2
Take the reciprocal:
1/1 = 1
1/∞ = 0
1/(1/2) = 2
Hence, the miller indices are (102)
The graph in your question is missing. Most likely it was like on the attached picture.
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25PTS 25PTS don’t have to explain
Answer:
y = 3x - 2
Step-by-step explanation:
At what at speed was jo walking for the first 30 minutes?
Answer:
6 km/hr
rested 10 minutes
Step-by-step explanation:
3 km/0ne half hour = 6 km/hr
What is the inverse of the inverse of P → Q?
The inverse of ∼P→∼Q is P->Q.
Given ∼P→∼Q
Its inverse, ∼(∼P)→∼(∼Q), means that P→Q.
If the hypothesis is correct but the conclusion is untrue, a conditional statement is false. If the statement in the example above read, "If you achieve good marks then you will not get into a good college," it would be untrue. A conditional statement that has been modified or rearranged is referred to as a related conditional. An if-then statement, also known as a conditional statement, is a set of hypotheses followed by a conclusion. It is noted that p→q. Read this: if p, then q.
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When studying for his test, Joe found a z-score for the weight of a particular rock to be 1.48
What does this z-score mean in the context the distribution of data collected from the weights of all rocks studied.
Answer:
it is about 99% on a graph
Step-by-step explanation:
Given the graph of log y=log(2)x. Find the area of the three inscribed rectangles
Answer: [tex]6+2log_{2} 6[/tex]
Step-by-step explanation:
[tex]S=s_{1} +s_{2} +s_{3} = 2(h_{1} +h_{2} +h_{3} )[/tex]
[tex]h_{1} = log_{2}2=1[/tex]
[tex]h_{2} = log_{2}4=2[/tex]
[tex]h_{3} = log_{2}6[/tex]
[tex]S = 2(1+2+log_{2}6) = 6+2log_{2}6[/tex]
27. Francis bought two dresses and one pair of shoes for $70.50, before tax. The shoes cost $15.00 more than one dress. How much did the pair of shoes cost?
Answer:
The pair of shoes cost $33.50
Step-by-step explanation:
let the cost of dresses be d and the cost of shoes be s
2 dresses and 1 shoe pair cost $70.5
2d + s = 70.5 •••••(i)
Shows cost $15 more than one dress
s = d + 15
d = s-15 ••••(ii)
Substitute ii into i
2(s-15) + s = 70.5
2s -30 + s = 70.5
3s = 70.5 + 30
3s = 100.5
s = 100.5/3
s = $33.50
help please this is hard for me-
Answer:
Um u have to move the protractor to get ur answer i cant look at it and see the answer i think thts why they gave the protractor
Step-by-step explanation:
18
The table shows information about the numbers of points scored by 28 students in a quiz.
Number of points
0
1
2
3
4
5
(a) Find the modal number of points.
(b) Work out the total number of points scored.
Frequency
5
4
5
5
6
3
(1)
Consequently, this student's quiz results have a median, or "middle," value of 16.
Define median.When a dataset is ordered, the median value is the one that appears exactly in the middle of the dataset. The difference between the lowest and highest 50% of data is a measure of central tendency or average. Depending on whether you have an odd or even number of data points, the procedures for determining the median , mode change.
Here,
the median, or "middle" value in a data set. Your data must be in numerical order in order to calculate the median.
Exam results:
9, 13, 20, 15, 18, 17
Number the rows and columns.
9, 13, 15, 17, 18, 20
Calculate the "middle" value:
9, 13, 15, 17, 18, 20
If there are two middle values, put them together and divide by two.
15 + 17 = 32
32/2 = 16
Consequently, this student's quiz results have a median, or "middle," value of 16.
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whats 4x4-2+4-4-4-4-4-4-4-4+20+10
Answer:
16
Step-by-step explanation:
use desmos
Answer: 20
Step-by-step explanation:
4x4-2+4-4-4-4-4-4-4-4+20+10 = 20
how to solve this? which i have to find the height.
Answer:
h = 3
Step-by-step explanation:
We can see a triangle with a base equal to (1/2)×6 or 3 with a hypotenuse of 3×sqrt(2). So we can use the Pythagorean theorem to solve for height h:
hyp^2 = b^2 + h^2
h^2 = hyp^2 - b^2
[tex] {h}^{2} = {(3 \sqrt{2}) }^{2} - { 3}^{2} = 9[/tex]
or h = 3
A new music festival was launched in Nashville. The first year, 150,000 people attended. They project the attendance to rise by 8% each year. How many people will attend the festival in 3 years?
for large parties a restaurant adds a 15 service charge. how much would be added to a bill of $638.40
Answer: $95.76
Step-by-step explanation:
If the 15 is referencing 15%.
15% of 638.40 can be found by making 15% a decimal by moving the decimal to the left twice.
.15 X 638.40= 95.76
Find the exact value of tan A in simplest radical form.
========================================================
Work Shown:
The tangent ratio involves the opposite over adjacent.
tan(angle) = opposite/adjacent
tan(A) = BC/AC
tan(A) = sqrt(75)/5
tan(A) = ( 5*sqrt(3) )/5 .... see the section below
tan(A) = sqrt(3)
---------------------------
sqrt(75) = sqrt(25*3)
sqrt(75) = sqrt(25)*sqrt(3)
sqrt(75) = 5*sqrt(3)
How many different ID cards can be made if there are six digits on a card and no digit may be used more than once
On solving the provided question, we can say that by permutation If an ID card has six digits and each digit may only be used once, then 151,200 distinct ID cards can be created.
what is permutation?The permutation of a set in mathematics is essentially the rearranging of its elements if the set is already ordered, or the arrangement of its members in a linear or sequential order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context. The mathematical calculation of the number of possible arrangements for a given set is known as permutation. Permutation, in its simplest form, refers to the variety of possible arrangements or orders. The placement of the elements matters with permutations. The placement of items in a specific order is known as a permutation. Here, the set's components are sorted in either chronological order or linear order. like in the case of.
There are 6 digits on a card ( 0 - 9 ).
10 * 9 * 8 * 7 * 6 * 5 = 151,200
If an ID card has six digits and each digit may only be used once, then 151,200 distinct ID cards can be created.
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Name 3 things that you need to know to know somethings volume. (teacher didn’t say what)
Answer:
The area of the base and the height of the object
Step-by-step explanation:
you need to know these so you can us the formula B x H = V
B = base
H = height
V = volume
PLEASE HELP ASAP
Chris stopped for gas twice on a long car trip The price of gas at the first station was $1.45 per gallon, and the price of gas at the second station was $1.55 per gallon. On the trip, Chris bought a total of 20 gallons of gas and spent $29.80. If x = the number of gallons that Chris bought at the first station, and y = the number of gallons Chris bought at the second station, which system of equations could be used to find the number of gallons of gas Chris bought at each station.
A.1.45x + 1.55y = 20 and x + y = 29.80
B. x + y = 20 and 1.45x + 1.55y = 29.80
C. x + y = 20 and 1.45x - 1.55y = 29.80
D. xy = 20 and 1.45x + 1.55y = 29.80
The system of equations could be used to find the number of gallons of gas Chris bought at each station is,
B. x + y = 20 and 1.45x + 1.55y = 29.80.
What are linear and non-linear functions?A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.
Any function whose graph is not a straight line is said to be nonlinear. Any curve other than a straight line can be a graph of it.
An example of a non-linear function is a quadratic function.
Given, Chris stopped for gas twice on a long car trip.
The price of gas at the first station was $1.45 per gallon, and the price of gas at the second station was $1.55 per gallon and filled a total of 20 gallons of gas and cost him a total of $29.80.
Therefore the system of linear equations that represents the context is,
x + y = 20 and 1.45x + 1.55y = 29.80.
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Help giving brainliest
Answer:
True
Step-by-step explanation:
2x + 14y - y = 2x + 13y
Have a good day :)
Answer:
true
Step-by-step explanation:
Distribute the 2 to the x and 7y. your equation will nob be 2x+14y-y=2x+13. so combine the like terms, 14y and -y, so you get 13y. you now have 2x+13y=2x+13y. which is true
Can someone find the function for this please “If f(x) = 4x - 11, find the values of f(x)
for the domain of {-3, 1,5}.”
Answer:
13,3,9
Step-by-step explanation:
f(3)=4(-3)-1
= -12-1
=13
f(1)=4(1)-1
= 4-1
= 3
f(5)=4(5)-11
= 20-11
= 9
Morgan collects toy horses. she has 34 in her collection. she got 23 horses for her birthday. she dropped a box and broke 5 of them. how many toy horses does she has now
Answer:
34 + 23 = 57
57 - 5 = 52
Therefore, she has 52 toy horses.
B is the circumcenter of △ADG. find AE and DG
When B is the circumcenter of triangle ADG the lengths of AE and DG are 4 and 12 respectively
What is circumcenter in a triangle?The intersection of the perpendicular bisectors of a triangle's sides is known as the circumcenter of that particular triangle.
In other terms, the circumcenter is the point at which the bisector of a triangle's sides coincides.
The perpendicular lines radiating from the sides of the triangle are the bisectors hence the line it radiates from shares the is shared into two halves at that point
Having this in mind
AE = DE = 4
and
DF = GF = 6
Also, DF + GF = DG
DG = DF + DF
DG = 6 + 6
DG = 12
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The height (h) in meters, of an item d days
can be modeled using the equation, h(d) = 3(5/4)^x
What does the fraction 5/4
represent in this equation?
Therefore, the fraction 5/4 in this equation represents the growth factor of the height of the item over time.
What is a fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a correct fraction is smaller than the denominator.
Define numerator or denominator.The total number of equally sized components chosen is shown in the numerator. The denominator, however, shows the total number of equal pieces.
The fraction 5/4 in this equation represents the growth factor of the height of the item over time. The value of 3 in front of the fraction is the initial height and the exponent x represents the number of days that have passed, so the height of the item increases by a factor of 5/4 for every additional day. The height equation represents exponential growth.
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Evaluate 5c+cd5c+cd5, c, plus, c, d when c=\dfrac15c=
5
1
c, equals, start fraction, 1, divided by, 5, end fraction and d=15d=15
Answer:
the value is 4
Step-by-step explanation:
Answer to this question pls
It would change to about 9. 960 atmospheres
How to determine the valueFollowing the Boyle's law of gases which states that the product of pressure and volume is exactly a constant for an ideal gas.
This is represented as;
PV = K
then,
P₁V₁ = P₂V₂
From the information given, we have that;
P₁ = 8.9 atmospheresP₂ = unknownV₁ = 4. 7 litersV₂ = 4. 2 litersNow, substitute the values
8. 9(4. 7) = P₂(4. 2)
mulitply the values
41. 83 = P₂(4. 2)
Divide both sides by 4.2
P₂ = 9. 960 atmospheres
Hence, the value is 9. 960 atmospheres
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