A geometric series is one in which there is a constant between two successive numbers in the series.
What is geometric progression?When there is a constant between the two successive numbers in the series then it is called a geometric series. In other words, every next term is multiplied by that constant term to form a geometric progression.
The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression
Suppose the series is given as
2,4,8,16,32,64.........
The common difference is defined as the ratio of the next term to the previous term.
From the above series, the common ratio is calculated as,
Common ratio = 4 / 2
Common ratio = 2
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An insect population triples every 4 months. If the population started out with 24 insects, how many
insects would there be in 16 months?
Answer:
After 16 months there will be a population of 1,944 insects.
Step-by-step explanation:
Since an insect population triples every 4 months, if the population started out with 24 insects, to determine how many insects would there be in 16 months, the following calculation must be performed:
X = 24 x 3 ^ (16/4)
X = 24 x 3 ^ 4
X = 1,944
Thus, after 16 months there will be a population of 1,944 insects.
i am so confused. not sure how to solve need step by step instruction to help please
given:f(x)=3x−7 for × ≥0
f(x)=-2x +3 for x >0
find: f(-5)
Answer:
13
Step-by-step explanation:
Since -5 is less than zero, we use the second equation, and substitute the -5 in for the x.
-2(-5)+3=13
Graph this function.
F(x)= -1/3x + 8
I need help ASAP! The -1/3x is a fraction. Can anyone help?
Step-by-step explanation:
Rewrite the function as an equation.
[tex]y = - \frac{x}{3} + 8[/tex]
Rewrite in slope-intercept form.
[tex]y = - \frac{1}{3} x + 8[/tex]
Use the slope-intercept form to find the slope and y-intercept.
Slope : - 1/3
y-intercept: (0,8)
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
Graph the line using the slope and the y-intercept, or the points.
Grandma received 0.25 liters of medicine from her doctor. The directions asked her to take one teaspoonful 3 times daily until it is finished. A full teaspoon has a capacity of 4 ml. Grandma started taking her medicine on November 20th. What date should the medicine finish?
Answer:
Dec 10
Step-by-step explanation:
0.25 liter = 250 ml
4 ml * 3 = 12 ml
250/12 = 20.83 days
Nov 20 - Nov 30: 11 days
Dec 1 - Dec 9: 9 days
On December 9, she can still take her 3 doses.
By December 9, she will have taken 12 ml per day for 20 days for a total of 240 ml. She has 10 ml left for Dec 10th.
On Dec 10, she will take 2 doses of 4 ml and 1 dose of 2 ml, and she will finish the medicine.
what is the distance between x=-2 and x=10
Answer:
12 prob
Step-by-step explanation:
He measured the pool’s dimensions to be 15 feet long by 35 feet wide. The actual dimensions of the pool are 14.5 feet by 34.75 feet. Find Jack’s percent error to the nearest percent.
Answer:
Percent error = -4.02 (Approx.)
Step-by-step explanation:
Given:
Estimated pool dimension = 15 ft long and 35 ft wide
Actual pool dimension = 14.5 ft long and 34.75 ft wide
Find:
Percent error
Computation:
Area of Estimated pool = 15 x 35
Area of Estimated pool = 525 ft²
Area of Actual pool = 14.5 x 34.75
Area of Actual pool = 508.875 ft²
Percent error = [(Actual - Estimated) / Estimated]100
Percent error = [(508.875 - 525) / 525]100
Percent error = [(-21.125) / 525]100
Percent error = -4.02 (Approx.)
Select the figure that is not a net for a cube. Complete the explanation.
When the figure is folded, _____
of the faces will overlap.
What are the ordered pairs of the
solutions for this system of equations?
f(x) = x2 – 2x + 3; f(x) = –6x
(-3, [?]); ([ ]), ([ ])
Answer:
[tex] {x}^{2} - 2x + 3 = - 6x \\ = {x}^{2} - 2x + 6x + 3 = 0 \\ \\ = {x}^{2} + 4x + 3 = 0 \\ = (x + 1)(x + 3) \\ = x = - 1and \: x = - 3[/tex]
sorry for the bad picture. I’m confused on how to solve this as it feels like I don’t have all the information needed.
Real word example where a
piecework function might be used
9514 1404 393
Explanation:
Garment factory: workers may get paid by the number of pieces they complete.
__
Wood chopping: the worker gets paid by the number of cords of wood they produce, not by how long it takes.
__
Haircut -- the cost is the same (for the same type haircut) even if more time is spent
____
The above are instances where an individual worker gets paid by the piece they produce. There are numerous instances of companies getting paid by the job, regardless of the length of time or the quantity of materials required to do the job.
Lawn mowing -- the price is fixed each time the crew mows the lawn
Oil Change -- the cost of changing the oil in the car is not dependent on the time it takes or the amount of oil used
Car wash -- a fixed price is paid each time (at an automatic car wash)
What is the arc measure of major arc \stackrel{\large{\frown}}{ACB}
ACB
⌢
A, C, B, start superscript, \frown, end superscript on circle PPP in degrees?
Answer:
286°
Step-by-step explanation:
A circle is the locus of a point such that its distance from a fixed point (known as the center) is always constant. This distance is known as the radius of the circle.
A major arc is an arc larger than a semicircle, therefore its measure is greater than 180°. A minor arc is an arc smaller than a semicircle, therefore its measure is less than 180°.
The arc measure of [tex]\stackrel{\large{\frown}}{ACB}=angle\ about\ a\ point-\stackrel{\large{\frown}}{AB}[/tex]
The arc measure of [tex]\stackrel{\large{\frown}}{ACB}=360-74=286^o\\[/tex]
Please answer please
9514 1404 393
Answer:
3629.84 cm²
Step-by-step explanation:
Put the given numbers into the area formula and do the arithmetic.
The area of a sphere is given by ...
A = 4πr²
A = 4(3.14)(17 cm)² = 3629.84 cm²
The ball has a surface area of about 3629.84 cm².
A rectangle has a perimeter of 42 ft its length, L, is 3 feet more than twice its width, W.
(c) Solve the system of equations that you just created by substitution to find the values of the length and width.
Answer:
Length of rectangle = 15 feet
Width of rectangle = 6 feet
Step-by-step explanation:
Given:
Perimeter of rectangle = 42 ft
Length of rectangle = 2[Width of rectangle] + 3
Find:
Value of length and width
Assume:
Width of rectangle = w
SO,
Length of rectangle = 2[w] + 3
Perimeter of rectangle = 2[l + b]
42 = 2[2w + 3 + w]
2[3w + 3] = 42
6w + 6 = 42
6w = 42 - 6
6w = 36
w = 36 / 6
w = 6
So,
Width of rectangle = 6 feet
Length of rectangle = 2[w] + 3
Length of rectangle = 2[6] + 3
Length of rectangle = 12 + 3
Length of rectangle = 15 feet
Find a formula for the exponential function passing through the points
4
3,
and (1,20)
125
f(x) -
Answer:
[tex]y = 4*5^x[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (-3,\frac{4}{125})[/tex]
[tex](x_2,y_2) = (1,20)[/tex]
Required
Determine the exponential equation
An exponential equation is of the form: [tex]y = ab^x[/tex]
In: [tex](x_2,y_2) = (1,20)[/tex]
[tex]20 = ab^1[/tex]
[tex]20 = ab[/tex] ---- (1)
In: [tex](x_1,y_1) = (-3,\frac{4}{125})[/tex]
[tex]\frac{4}{125} = ab^{-3}[/tex] --- (2)
Divide (1) by (2)
[tex]20/\frac{4}{125} = \frac{ab}{ab^{-3}}[/tex]
[tex]20/\frac{4}{125} = b^4[/tex]
[tex]20*\frac{125}{4} = b^4[/tex]
[tex]5*125 = b^4[/tex]
[tex]625 = b^4[/tex]
Take 4th roots of both sides
[tex]\sqrt[4]{625} = b[/tex]
[tex]5 = b[/tex]
[tex]b = 5[/tex]
Substitute [tex]b = 5[/tex] in [tex]20 = ab[/tex]
[tex]20 = a * 5[/tex]
Solve for a
[tex]a = 20/5[/tex]
[tex]a = 4[/tex]
Hence, the equation is:
[tex]y = 4*5^x[/tex]
Square 1 has a area of 24 square units if square 2 is half the size what is the ratio of the area of square one to square two?
Answer:
Step-by-step explanation:
I'm going to guess that 1/2 the size means the sides are 1/2 the size.
Square 1 has an area of 24. The sides are s, so the area is found by using s^2
The second square is made from sides that are 1/2 s
Area = 1/2 s * 1/2 s
Area = 1/4 s^2
Area 1 / area 2 = 24 / x^2 = s^2 / 1/4 s^2 = 1/0.25
m
Find the measure of the angles.
Answer:
where is your figure please send it
Help please will mark brainliest!!!
Answer:
18
Step-by-step explanation:
The diameter of the colosseum is about 167 meters. Therefore the circumference of the colosseum is
Answer:
C≈524.65m
Solving for C
C=πd=π·167≈524.64597m
Complete the sentence.
9 is 36% of ??
Answer:
25
Step-by-step explanation:
Ratios:
[tex]\frac{36}{100} =\frac{9}{x} \\\\36x=900\\x=25[/tex]
Double check:
25(0.36) = 9
50+12÷3×5−2 do this for 25 points fast please (use PEMDAS)
Answer:
68
Step-by-step explanation:
Find the value of x.
log 3 X= 4
OA. 7
OB.
12
Oc.
27
OD
81
Answer:
OB
Step-by-step explanation:
when we multiple 4 by 3 because they are like terms they give us 12
Write an expression showing 5 less than the number K
Answer:
K-5
Step-by-step explanation:
Five less than K would be K-5.
4) What is the perimeter of a square that has an area of 262.44 feet?
Answer:
64.8 ft
Step-by-step explanation:
A square has all its sides equal
Therefore to get one side from its area is simply finding the square root of its area
√262.44=16.2ft
Having the one side then perimeter= to the four equal sides × the dimensions of one side
=4×16.2
=64.8 ft
what is the givien x-value that can used to make the prediction
Answer:
haha there is no question
Step-by-step explanation:
aww please check if there are more expect around to answer
Replacing only the minimum value in a data to a smaller number will also change the mean
A.always
B. Sometimes
C.never true
Roller skates that usually sells for $125 is on sale for 35% off. Find the sale price.
Answer:
$81.25
Step-by-step explanation:
First find 35% of 125 which is 43.75
Next subtract 43.75 from 125
Your answer is $81.25
Find the average number of people in these cities: New York, Philadelphia, Chicago and Detroit a. 3.35 million b. 40 million. C. 4.0 million d. 33.million
Answer:
The answer is maybe going to be D which is 33 million
Step-by-step explanation:
New york is a big city
Help last assignment for the semester
Answer:
b=2sqrt14
A=33.7°(rounded to nearest tenth)
B=56.3°
Step-by-step explanation:
Pythagorean theorem= sqrt(c^2-a^2)=sqrt(9^2-5^2)=2sqrt14
angleA= sin^-1(5/9)=33.7°
angleB=90°-33.7°= 56.7°
Hopefully that makes sense
Identify the following parts of an introductory paragraph in the order that they should appear.
First:
Second:
Third:
Answer Choises
hook, context, thesis
Have a nice day!
Answer:
1st-Hook
2nd- Thesis statement
3rd-context
Step-by-step explanation:
1- hook is to attract the reader, like a line to a song that is catchy! you want to draw the reader in!
2- Thesis statment
3- give context on the thesis statement! to further prove.
good luck
Write the proportion.
8.5 hours is to 3.4 hours as
7.0 hours is to 2.8 hours?