Write an exponential function to describe the given sequence of numbers, assuming that the first number in the sequence corresponds to x = 0.
5.30, 180, 1080, 6480...
Answers
Answer:
[tex]y = 5(6) {}^{x} [/tex]
Step-by-step explanation:
A exponential function is represented by
[tex]y = ab {}^{x} [/tex]
where a is the vertical stretch and b is the base and x is the nth
power of x
Since the first number corresponds with zero, that means our y intercept is the first number.
This means when x=0 , y=5 so let find the value of 5.
[tex]5 = ab {}^{0} [/tex]
b to the 0th power equal 1 so
[tex]5 = a \times 1[/tex]
[tex]a = 5[/tex]
Our equation is for now
[tex]y = 5b {}^{x} [/tex]
Now let plug in 1,30
[tex]30 = 5b {}^{1} [/tex]
Divide 5 by both sides
[tex]6 = b {}^{1} [/tex]
Anything to the 1st power is itself so b equal 6.
So our equation is
[tex]y = 5(6) {}^{x} [/tex]
Related Questions
Pweeze help and i will give brainliest UwU <3
Answers
Answer:
See below for answers
Step-by-step explanation:
1st blank: 2*2*2*2*2*2*2
2nd blank: 2
3rd blank: 7*7
4th blank: 7
5th blank: no
6th blank: doesn't equal
please answer asap.
In a school of 450 students, 110 of them are in the choir, 240 of them are in the band and 60 students are in the choir and the band.
Find the probability that a student chosen at random is in the choir or the band or both
Answers
180 take band.
60 take band and chorus .... that is the intersection of the 2 groups.
1) 2x+y=4
2) 8x+y=-6
3) -3x+y=5
4) -x+y=-10
5) 4x-y=4
Can you guys lmk how to solve for y ? step by step
and if the equation has a negative sign in front do you still solve it the same way as the others ? am really confused please help!
Answers
y=-2x+4
y=-8x-6
y=3x+5
y=x-10
y=4x-4
Step-by-step explanation:
these questions require a series of equations in order to solve but if you are asking for them to be rearranged
FIRST ANSWER GETS BRAINLIEST ANSWER FAST
Answers
Answer:
A
Step-by-step explanation:
Because it would be how many adults times 36. And how many ever children times 15. And that total would be equal to $234
29
2
Solve the inequality
- +3>
W
a.
c.
W <3 or w > 6
w <3 or w > 9
W <0 or w > 6
W <0 or w > 9
b.
d.
Answers
Step-by-step explanation:
Let's solve your inequality step-by-step.
2
w
+3>
29
w
3w+2
w
>
29
w
Let's find the critical points of the inequality.
3w+2
w
=
29
w
3w+2=29(Multiply both sides by w)
3w2+2w=29w(Multiply both sides by w)
3w2+2w−29w=29w−29w(Subtract 29w from both sides)3w2−27w=0
3w(w−9)=0(Factor left side of equation)
3w=0 or w−9=0(Set factors equal to 0)
w=0 or w=9
Check possible critical points.
w=0(Doesn't work in original equation)
w=9(Works in original equation)Answer:
w<0 or w>9
7-7/5x=12
Solve for x
Answers
Answer:
x= -7/25
Step-by-step explanation:
Answer:
x = -25/7
Step-by-step explanation:
what is the area of the figure below?
Answers
please help fast!!
The two prisms below are similar. What is the value of x?
10
15
A. 1
B. 15
C. 10
D. 5
Answers
The correct option is D, the value of the missing side x is 5.
How to find the value of x?If the two prism are similar, then there is a scale factor that when multiplied by the dimensions of the blue prism, we get the dimensions of the green one.
If that scale is k, then we can write:
3k = 15
Solving for k:
k = 15/3
k = 5
Now, the correspondent side to the one that measures x, has a measure of 1 unit (in the blue prism), then the value of x is:
1*k = x
1*5 = x
5 = x
The correct option is D.
Learn more about scale factors:
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what is 5 to the power of 6 over 5 to the power of 2
Answers
Answer:
625
Step-by-step explanation: 5^6/5^2
multiply 5^6 and than devide your answer with 5^2
Answer:
625
Step-by-step explanation:
5^6=15625
5^2=25
15625/25=625
The following system answer is no solution. Change one number to make the system an infinite solution and explain why it is now an infinite solution.
12y = 17 - 9x
-4y - 3x = 31
Answers
Step-by-step explanation:
The following system answer is no solution. Change one number to make the system an infinite solution and explain why it is now an infinite solution.
12y = 17 - 9x
-4y - 3x = 31
Please help i really need help on a b and c
Answers
It will take 72 cars for the class fund to be $385. Work shown is in the picture attached.
Find the value of x
Answers
Answer:
The value of x is 72 degrees
Step-by-step explanation:
Which expression is equivalent to 3k +51 +61 + 2k ?
Answers
Answer:
B. 5k + 11l
Step-by-step explanation:
Add similar terms:
3k + 2k = 5k
5l + 6l = 11l
Therefore:
3k + 5l+ 6l + 2k = 5k + 11l
Cindy goes to school in a 7-story building. Her first class is on the first floor.
She goes up 3 floors for her second class and down 2 floors for her third
class. For her fourth class Cindy goes up 5 floors and for her final class
Cindy goes down 1 floor. What floor is Cindy on during her final class?
Answers
2: 1 + 3 = 4
3: 4 - 2 = 2
4: 2 + 5 = 7
5: 7 - 1 = 6
Find the square root of 25x^2-40xy+16y^2
Answers
The square root of [tex]25x^2-40xy+16y^2[/tex] is 5x - 4y.
Given that,
The quadratic equation is [tex]25x^2-40xy+16y^2[/tex].We need to find out the square root.Based on the above information, the calculation is as follows:
[tex]= 25x^2-40xy+16y^2\\\\= (5x)^2 - (2\times 5x \times 4y) + (4y)^2\\\\= (5x - 4y)^2\\\\= \sqrt{ (5x - 4y)^2}[/tex]
= 5x - 4y
Therefore we can conclude that the square root of [tex]25x^2-40xy+16y^2[/tex] is 5x - 4y.
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Rainbow rainbow, high and bright.
Rainbow rainbow, made of light.
From the clouds down to the ground,
I see colors all around.
Red, orange, yellow, green, blue,
Indigo and violet too.
Red, orange, yellow, green, blue,
Indigo and violet too.
Rainbow rainbow, high and bright.
Rainbow rainbow, made of light.
From the clouds down to the ground,
I see colors all around.
Red, orange, yellow, green, blue,
Indigo and violet too.
Red, orange, yellow, green, blue,
Indigo and violet too.
A rainbow.
A rainbow.
Answers
Answer:
is this a song or something
Answer:
Is this some sort of poem which you wanted to share?
The sales tax on a $25,000 car is $1375. What is the sales tax rate?
PLEASE SHOW HOW YOU SLOVED IT!!! THX <3
Answers
Answer:
$11 sales tax per $200
Step-by-step explanation:
1375/25,000 = 11/200
Answer:
5.5%
Step-by-step explanation:
1375/25000= 5.5%
25000 * 5.5% = $1375.00
PLS I NEED HELP I ONLY HAVE 15 MINS I BEG YOU PLEASE!! :(
In 1984 the average American used to eat 55.7 pounds of chicken. This was 2.8 pounds more than the 1982 average. By what percent did chicken consumption increase from 1982 to 1984?
Answers
To solve this, we need to use the z statistic. The formula for z score is:
z = (x – u) / s
where x is sample value = less than 90, u is the sample mean = 90.6, s is the standard deviation = 17.2
z = (90 – 90.6) / 17.2
z = -0.035
From the standard distribution tables:
P (z = -0.035) = 0.4860
Therefore there is about 48.60 % chance that it will be less than 90 pounds
WILL MARK BRAINLEIEST
Answers
Answer:
y-intercept is -1
Step-by-step explanation:
this is the answer because the line crosses at -1 in the y line
I really need help please help me
Answers
Answer:
2.82
Step-by-step explanation:
I tried my best so im sorry if it isnt correct
x4-5x2-24=0
(x2+3) (x2-8)=0
x2 +3=0
x= 2.82
Help please will give brainliest
Answers
Answer:
the first one
Step-by-step explanation:
have a great day
What percent of 70 is 84?
% of 70 is 84.
Answers
Answer:
120
Step-by-step explanation:
Just did this
Answer:
ig 174
Step-by-step explanation:
en qué experimento aleatorio de lanzar un dado que más probable que salga un número impar o que salga el número 2
Answers
Answer:
3 no mentiras no sé pero puedes buscar
If you were to measure the length of a typical driveway, which unit would make most sense to measure it in?
Answers
Answer:
Feet
Step-by-step explanation:
The unit that makes the most sense is feet. Inches are too small and miles are too long, yards are not that common in building feet is the standard unit.
The store price of an electronic gadget is $100. If the markup percent set by the store is 45%. Calculate the markup price set by the store on the electronic gadget.
Answers
Answer:
145$ is the markup price i think
Step-by-step explanation:
100$+ 45%=x
100/100%=1
45%*1=45
100$+45$= 145$
Find the slope and y-intercept of the line in each graph.
Answers
2. Slope is -2/3 and the y is 2
Hope this helps
elyse has $18 on a gift card that she can use to rent movies online . the graph at the right shows the amount of money remaining on her gift card based on the number of movies she rents . find the unit rate of the graph , and describe what it means in the context of the situation.
Answers
HELP PLEASE 15 POINTS!
Olivia was reading about the Earth’s history. She grew interested in the Quaternary period in the Cenozoic era and studied it further. The Quaternary period is best known for which two major events?
A.the rise of reptiles and flowering plants
B. the rise of mammals and swimming mammals
C. the ice ages and the rise of humans
D. the rise of dinosaurs and other reptiles
Answers
The Quaternary period is best known for the ice ages and the rise of humans.
What is the quaternary period?The numerous cycles of glacial expansion and retreat, the extinction of several species of big animals and birds, and the spread of humans are all associated with the Quaternary Period.
Due to the existence of at least one permanent ice sheet (Antarctica), the whole Quaternary Period, including the present, is referred to as an ice age; yet, the Pleistocene Epoch was usually drier and colder than the current period.
The Holocene is the most recent of the geochronological time divisions that make up the quaternary period, which began around 2.6 million years ago with the commencement of the Northern Hemisphere glacial (Zalasiewicz et al., 2015). Glacier deposits and proof of glacial erosion are the Quaternary's most distinctive features at middle and high latitudes. The main characteristic of high mountains like the Alps, Himalayas, Andes, and Rockies is glacial erosion.
Learn more about Quaternary Period here:
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how to write 13.208 in word form
Answers
40x divided by 10=28
Answers
Answer:
x = 7
Step-by-step explanation:
40x ÷ 10 = 28
40x ÷ 10 × 10 = 28 × 10
40x = 280
40x ÷ 40 = 280 ÷ 40
x = 7
Answer:
x=7
Step-by-step explanation:
40x/10 = 28
40x/10 * 10 = 28 *10
40x= 280
40x/40 = 280/40
x = 7