Answer:
[tex]a_n = (\frac{1}{4})2^{n-1}[/tex]
Step-by-step explanation:
Geometric sequence:
In a geometric sequence, the quotient between consecutive terms is the same, and this quotient is given by q.
The explicit rule of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
1/4, 1/2, 1, 2, 4
This means that [tex]a_1 = \frac{1}{4}[/tex], and:
[tex]q = \frac{4}{2} = \frac{2}{1} = \frac{1}{\frac{1}{2}} = \frac{\frac{1}{2}}{\frac{1}{4}} = 2[/tex]
So the explicit rule is:
[tex]a_n = (\frac{1}{4})2^{n-1}[/tex]
increase 53.20 by 7%
Answer:
56.924
Step-by-step explanation:
Step-by-step explanation:
Change the problem into something you recognize
7% = 7 x 10^-2 = 0.07
Multiply by this decimal
53.20 x 0.07 = a
Then add this to the original
53.20 + a
In ΔTUV, the measure of ∠V=90°, TV = 28, UT = 53, and VU = 45. What ratio represents the cosecant of ∠U?
Answer:
Cosecant U = 53 / 28
Step-by-step explanation:
Please see attached photo for diagram.
We'll begin by calculating the ratio of sine U. This can be obtained as follow:
Angle U = θ
Opposite = 28
Hypothenus = 53
Sine U =?
Sin θ = Opposite / Hypothenus
Sine θ = 28 / 53
Thus,
Sine U = 28 / 53
Finally, we shall determine the ratio of cosecant U. This can be obtained as follow:
Sine U = 28 / 53
Cosecant U =?
Cosecant U = 1 / Sine U
Cosecant U = 1 ÷ 28 / 53
Cosecant U = 1 × 53 / 28
Cosecant U = 53 / 28
Find the slope and the y- intercept of the line y=6x-3
Answer:
Slope: 6
Y-intercept: -3
Step-by-step explanation:
The value of x is the slope, the value of the y-intercept is the number with no variable. Therefore, the slope is 6 and the y-intercept is -3.
If this has helped please mark as brainliest
Answer:
m=6
Step-by-step explanation:
i am too lazy can someone solve this for me.
A bakery sold a total of 500 cupcakes in a day, and 190 of them were vanilla flavored. What percentage of cupcakes sold that day were vanilla flavored?
Answer:
20% of them we flavored vanilla that day
Step-by-step explanation:
look at pic 10 pts will mark brainilest
C: ( 9 x 18) + (6 x 2)
D: (20 x 6) + (18 x 3)
E: (20 x 9) - (3 x 2)
Pls help I need a good grade
A
Step-by-step explanation:
m+n
2..................
Clearly mark on the coordinate plane the location of the ordered pairs and
identify what quadrant they are in.
J (4,0) quadrant ________ and M(-2,-3) quadrant ___________
Answer:
Point [tex]J(4,0)[/tex] lies on [tex]x-[/tex]axis and point [tex]M(-2,-3)[/tex] lies quadrant III.
Step-by-step explanation:
A coordinate plane is a plane that is divided into four quadrants by the coordinate axes.
Here, coordinate axes are [tex]x-[/tex]axis and [tex]y-[/tex]axis.
Let's first mark the points in the coordinate plane.
See the attached figure.
From the figure, it can be observed that point [tex]J(4,0)[/tex] lies on [tex]x-[/tex]axis and point [tex]M(-2,-3)[/tex] lies quadrant III.
Yolanda is planning out her square vegetable garden. One side 4 feet. How
can I represent the area with exponents? *
HELPP MEEE ASAP PLSS
translate twice x is at most -29 into an inequality
The answer is 2x ≤ - 29
Step-by-step-explain
Twice x is at most -29 into an inequality
2x ≤ - 29
Thus, The answer is 2x ≤ - 29
-TheUnknownScientist
20. A biologist studied the populations of geckos and salamanders at Huntington Beach State Park over
a five year period. The biologist modeled the populations, in thousands, with the following polynomials
where x is time, in years.
Geckos: 9.7 x 2 - 0.8x + 2.3
Salamanders: -1.1 x2 + 7.7 x + 5.4
Which of the following polynomials models the total number of geckos and salamanders at Huntington Beach State Park?
Answer: b
Step-by-step explanation:
Divide by using long division:
(8x ^2+ 4x – 3) = (2x - 3)
Answer: Hello Luv......
The chosen topic is not meant for use with this type of problem. Try the examples below.
45665
8723
209÷32
Step-by-step explanation:
Hope this helps.
Mark me brainest please.
Anna ♥
I NEED HELP NOW PLEASE
Answer: B : Stretches vertically by factor 3
Step-by-step explanation: Can you mark this brainliest if this is right?
Find the greatest power of 3 that is divisible of 100!
Answer:
There is no greatest power of 3 that is divisible of 100.
Step-by-step explanation:
Since any number can always be divisible of 100, there would be no greatest power of 3 that is divisible of 100 since the powers can go on and on forever without stopping, and all powers of 3 is able to be divided by 100.
A turtle can walk 2/24 of a kilometer in an hour. The turtie is 2/10 of a kilometer away
from a pond. At this speed, how long will it take the turtle to reach the pond?
2 2/5hours
1 3/5hours
2 hours
3 1/5hours
HELP ME ‼️
$298, $ 196, $248) $379, $319,$276, $198,
$349
. What is the median of the first half of the
data? (Third quartile)
Answer:
median of (298, 196, 248) - 196
median of (379, 319) - 349
median of (276,198, 349) - 198
Step-by-step explanation:
Find the value of c that makes each trinomial a perfect square. Then write the trinomial as a perfect square.
6. x2 – 20x + c
a. c = 64; (x – 8)2 b. c = 20; (x – 10)2 c. c = 100; (x + 10)2 d. c = 100; (x – 10)2
Answer:
d. c = 100; (x – 10)²
Step-by-step explanation:
Note that (x+a)²=x²+2ax+a².
In our case, 2a=-20, so 'a' must be -10.
Since c=a², and a=-10, c=(-10²)=100.
Since a=-10, the perfect square is (x – 10)²
graph a line with slope 1/3 and y-intercept -2
Complete the following equation using <,>, or = 7___24/4
Answer:
<
Step-by-step explanation:
Have a Great Day!!!
Evaluate 4 ÷ 3/5 Give your answer as a mixed number in its simplest form.
9514 1404 393
Answer:
6 2/3
Step-by-step explanation:
4/(3/5) = (4/1)×(5/3) = 20/3 = 6 2/3
When money is spent on goods and services, those who receive the money also spend some of it. The people receiving some of the twice-spent money will spend some of that, and so on. Economists call this chain reaction the multiplier effect. In a hypothetical isolated community, the local government begins the process by spending D dollars. Suppose that each recipient of spent money spends 100c% and saves 100s% of the money that he or she receives. The values c and s are called the marginal propensity to consume and the marginal propensity to save and, of course, course, c + s = 1. Let Sn be the total spending that has been generated after n transactions.
Required:
Find an equation for Sn.
Solution :
If [tex]S_n[/tex] is the total spending generated after n transactions, then [tex]a_n[/tex] is the spending generated during the n-th transaction. Since the government spends D dollars, then [tex]a_1[/tex] = D.
Then the second person will receive D dollars and spend [tex]D_c[/tex] dollars. Therefore, [tex]a_2=D_c[/tex]. The next person will receive [tex]D_c[/tex] dollars, which means they are spending [tex]a_3 = (D_c)c = Dc^2[/tex] dollars. Therefore,
[tex]a_1 = D[/tex]
[tex]a_2=D_c[/tex]
[tex]a_3 = Dc^2[/tex]
[tex]a_4 = (Dc^2)c= Dc^3[/tex]
....
[tex]a_n=Dc^{n-1}[/tex]
∴ [tex]S_n=a_1+a_2+a_3+....+a_n[/tex]
[tex]S_n = D+Dc+Dc^2+Dc^3+...+Dc^{n-1}[/tex]
[tex]S_n= D(1+c+c^2+...+c^{n-1})[/tex]
[tex]S-n=D . \frac{1-c^n}{1-c}[/tex]
What is the location of X' when X is translated 3 units left and 9 units down?
Answer:
-3,-9
Hope this helps
Answer:
(-3,-9)
Step-by-step explanation:
X goes first then Y, since they are both negative they go backwards on the graph
which one of the following piecwise graphs is not a function
Answer:
Perhaps this could be answered, if the graphs were included.
Step-by-step explanation:
(25points) Which of the following is the ratio of the area of the shaded region to the total area of the square
a)1/2
b)1/3
c)3/8
d)3/4
Answer:
C
Step-by-step explanation:
We want to find ratio of the area of the shaded region to the total area of the square.
First, we can find the total area of the square. Since QR = 7, each side of the square measures 7. Therefore, its area is:
[tex]A=(7)^2=49\text{ units}^2[/tex]
Instead of finding the shaded area, we can find the areas that are not shaded. Subtracting that into the total area will then give us the shaded area.
QRP is a triangle. Since PQRS is a square, QR = 7 = RS = SP = PQ.
So, the area of ΔQRP is:
[tex]\displaystyle A_{\Delta QRP}=\frac{1}{2}(7)(7)=24.5[/tex]
UTS is also a triangle. We are given that RU = US and PT = TS. So, Points U and T bisect RS and SP, respectively. Since RS = SP = 7, RU = US = PT = TS = 3.5. So, the area of ΔUTS is:
[tex]\displaystyle A_{\Delta UTS}=\frac{1}{2}(3.5)(3.5)=6.125[/tex]
Therefore, the total area of the white region is:
[tex]A_{\text{white}}=6.125+24.5=30.625[/tex]
Thus, the shaded region is:
[tex]A_{\text{shaded}}=49-30.625=18.375[/tex]
Then the ratio of the shaded region to the total area of the square will be:
[tex]\displaystyle R_{\text{shaded:total}}=\frac{18.375}{49}=\frac{3}{8}[/tex]
Our answer is C.
I need to add words but plz help me im stuck
Answer:
A
Step-by-step explanation:
I think it is A because that measures the height of the triangle
Answer:
Option A shows the height of the triangle
Hope this helps!
can someone help me with math I don’t really understand it
1.) Crown pls ;)
A.) The domain is (-∞,∞) or (-infinity, infinity)
B.) The range is (0,∞) or (0, infinity)
C.) The y-intercept is (0,6)
D.) x-axis
E.) Base
2.)
f (x) = (3x^4 + 1)^2 ?
Answer:
72x^7+24x^3 (finding the derivative using the chain and power rules)
Step-by-step explanation:
Answer:
the answer is 8
Step-by-step explanation:
What is the slope of the line that passes through the points (26, 7) and (-39, 12)?
A 11/13
Step-by-step explanation:
1
A motor cycle purchased for $9,000 today will be worth 6% less each year. For what can you expect to sell the motorcycle at the end of 5years
Answer:
$5,956.2
Step-by-step explanation:
First we need to find the amount after 5years using the formula
A =P(1+r)^n
A = 9000(1+0.06)^5
A = 9000(1.06)^5
A = 9000(1.3382)
A = 12,043.8
Interest after 5 years = 12,043.8 - 9000
Interest after 5 years = 3,043.8
Since it will be worth 6% less each year, the amount after 5years will be 9000 - 3,043.8 = $5,956.2
look at pic will mark brainilest
Answer:The first one 18in.2
Step-by-step explanation:
What is the equation for this word problem?:
Ravi needs to read 3 novels each month.
Let N be the number of novels Ravi reads in M months
Help!
Answer:
N = 3M
Step-by-step explanation: