The first 5 terms of a sequence are shown
4,12,36,108,324 ...
what is the common ratio of the function
Answer:
The common ratio is 3
Step-by-step explanation:
if you divide the first number by the number following it, then the answer is three all the way down the line. So all you need to do to find the following term is to multiply the last number that you know by 3 and you get the number after that
Hope that was helpful :)ratio
Answer:
yes it is 3 I've been solving this for a few days and got 3
Workout to the simplest:
[tex] \int \: {x}^{2} ln( {x}^{3} ) dx[/tex]
Answer:
[tex]\rm \displaystyle \ln(x) { {x}^{3} } - \frac{ {x}^{3} }{3} + \rm C[/tex]
Step-by-step explanation:
we would like to integrate the following integration
[tex] \displaystyle \int {x}^{2} \ln( {x}^{3} ) dx[/tex]
before doing so we can use logarithm exponent rule in order to get rid of the exponent of ln(x³)
[tex] \displaystyle \int 3 {x}^{2} \ln( {x}^{} ) dx[/tex]
now notice that the integrand is in the mutilation of two different functions thus we can use integration by parts given by
[tex] \rm\displaystyle \int u \cdot \: vdx = u \int vdx - \int u' \bigg( \int vdx \bigg)dx[/tex]
where u' can be defined by the differentiation of u
first we need to choose our u and v in that case we'll choose u which comes first in the guideline ILATE which full from is Inverse trig, Logarithm, Algebraic expression, Trigonometry, Exponent.
since Logarithms come first our
[tex] \displaystyle u = \ln(x) \quad \text{and} \quad v = {3x}^{2} [/tex]
and u' is [tex]\frac{1}{x}[/tex]
altogether substitute:
[tex] \rm \displaystyle \ln(x) \int 3{x}^{2} dx - \int \frac{1}{x} \left( \int 3 {x}^{2} dx \right)dx[/tex]
use exponent integration rule to integrate exponent:
[tex] \rm \displaystyle \ln(x) \int 3{x}^{2} dx - \int \frac{1}{x} \left( 3\frac{ {x}^{3} }{3} \right)dx[/tex]
once again exponent integration rule:
[tex] \rm \displaystyle \ln(x) 3\frac{ {x}^{3} }{3} - \int \frac{1}{x} \left( 3\frac{ {x}^{3} }{3} \right)dx[/tex]
simplify integrand:
[tex] \rm \displaystyle \ln(x) 3\frac{ {x}^{3} }{3} - \int \frac{ 3{x}^{3} }{3x} dx[/tex]
use law of exponent to simplify exponent:
[tex] \rm \displaystyle \ln(x) \frac{ 3{x}^{3} }{3} - \int \frac{ 3\cancel{ {x}^{3}} }{3 \cancel{x}} dx[/tex]
[tex] \rm \displaystyle \ln(x) \frac{ 3{x}^{3} }{3} - \int \frac{ 3{x}^{3} }{3} dx[/tex]
use constant integration rule to get rid of constant:
[tex]\rm \displaystyle \ln(x) \frac{3 {x}^{3} }{3} - 1 \int {x}^{2}dx[/tex]
use exponent integration rule:
[tex]\rm \displaystyle \ln(x) \frac{3 {x}^{3} }{3} - \frac{ {x}^{3} }{3} [/tex]
[tex]\rm \displaystyle \ln(x) { {x}^{3} } - \frac{ {x}^{3} }{3} [/tex]
and finally we of course have to add the constant of integration:
[tex]\rm \displaystyle \ln(x) { {x}^{3} } - \frac{ {x}^{3} }{3} + \rm C[/tex]
and we are done!
One spring day, Parker noted the time of day and the temperature, in degrees
Fahrenheit. His findings are as follows: At 6 a.m., the temperature was 52° F. For the
next 2 hours, the temperature rose 4° per hour. For the next 5 hours, it rose 1° per
hour. The temperature then stayed steady until 6 p.m. For the next 2 hours, the
temperature dropped 3° per hour. The temperature then dropped steadily until the
temperature was 57° at midnight. On the set of axes below, graph Parker's data.
Answer:
Using the graph you should understand
The set of values are plotted on the graph given below.
What is Graph ?Representation of some datas in 2 or 3 dimensional visual form is called graph.
How to plot given graph ?Plot the values of temperature in y-axis.
Similarly , plot the values of time in x-axis.
The values in x-axis are 6am, 7am, 8am, 9am, 10am, 11am, 12pm, 1pm, 2pm, 3pm, 4pm, 5pm, 6pm, 7pm, 8pm, 9pm, 10pm, 11pm, 12 am & the values of this time in y-axis are 52, 56, 60, 61, 62, 63, 64, 65, 65, 65, 65, 65, 65, 62, 59, 59, 59, 59, 57 respectively.
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CHECK IMAGE Help me out pretty please
Suppose 10 percent of households earn over 80.000 dollars a year, and 0.25 percent of households earn over 450,000. A random sample of 400 households has been chosen. In this sample, let X be the number of households that earn over 80,000, and let Y be the number of households that earn over 450,000. Use normal and Poisson approximation, whichever is appropriate in either case, to find the simplest estimates you can for the probabilities P(X 48) and P(Y 2).
Answer:
0.1056
0.2642
Step-by-step explanation:
N = 400
P = 10%
n*p = 400*0.1 = 40
n(1-p) = 400 * 0.9 = 360
40 and 360 are greater than 5 so we use the normal distribution here to estimate further.
mean = n*p = 40
sd = [tex]\sqrt{np(1-p)}[/tex]
[tex]\sqrt{400*0.1(1-0.1)} \\= \sqrt{40(0.9)} \\= \sqrt{36} \\= 6[/tex]
p(X≥48)
= p(X≥47.5)
[tex]=P(Z<\frac{47.5-40}{6} )\\= P(Z<1.25)[/tex]
= 0.8944
1 - 0.8944
= 0.1056
FOR Y
N = 400 p = 0.25% = 0.0025
400 * 0.0025 = 1
1 is less than 5 so we use poisson distribution.
using the excel function,
1 - BINOMDIST(1, 400, 0.0025, TRUE)
= 1 - 0.735759074
= 0.2642
Can someone help me with number 3 please
need answer fast pls
What is the surface area of this cylinder?
Use ≈ 3.14 and round your answer to the nearest hundredth.
r=10.3cm h=9.3cm
Answer:
1268.45
Step-by-step explanation:
20% of 400 is what number
Esmeralda's familyfamily went out to dinner paying a 20% tip at the end of the mill their credit card was charged $51 what was the amount when the bill without the tip?
Answer:
i dont know lol
Step-by-step explanation:
why you asking me
Howdy!
I am here with a handful of geometry questions today. Please answer the question based off the image(s) below.
If you are not sure of the answer please leave a comment, DO NOT ANSWER THE QUESTION UNLESS YOU KNOW THE ANSWER. Please don't take me points! Thanks for understanding.
Anyways, please show all of your work and explain your thinking! This one is not easy! Make sure to answer all 4. There do not upload in order so be specific which answer goes to witch picture! Be sure to answer both steps! Thanks!
Answer:
A) Central angle has same measure as intercepted arc.
mCE = mCD + mDE = 20° + 90° = 110°B) Opposite angles of cyclic quadrilateral are supplementary.
mRL = 2*m∠PQR - mPL = 2*74° - 72° = 76°m∠QPL = (1/2)mQRL = (1/2)(90° + 76°) = 83°m∠QRL = 180° - m∠QPL = 180° - 83° = 97°mQP = 360° - (90° + 76° + 72°) = 122°C)
m∠MLN = m∠MRN as same arc MN is interceptedm∠LMN is right angle as opposite side is diameter.∠MNL is complementary with ∠MLN which is same as ∠MRNm∠MNL = 90° - 47° = 43°D) Tangent secant angle is half of the intercepted arc.
It seems wrong. Should be mQP instead of mQR
mQP = 2*m∠RQP = 2*74° = 148°If we are missing the percent, then what
will go over 100 in the percent proportion?
Answer:
the percentage that you are trying to find
for ex if you were trying to figure out how to find 4.5 % thank you would put the over 100% and then divide it.
Step-by-step explanation:
3x -3 = 2x
If you do this PLEASE could I have a THOROUGH explanation on how to do it!
Answer:
3x-3=2x, x=3
Step-by-step explanation:
so you want to move all the numbers with x to the left side of the equation
subtract 2x from both sides of the problem
3x-3-2x=0
subtract 2x from 3x
then add 3 to both sides of the equation
x=3
Following a major earthquake, the cite engineer must determine whether the stadium is structurally sound for an upcoming athletic event. If the null hypothesis is" the stadium is structurally sound, and the alternative hypothesis is the stadium is not structurally sound," which type of error (Type I or Type II) would the engineer least like to commit?
Use for Questions 11-15
A survey was performed and data was collected of students preference of courses based on gender.
Prefers
Math
Prefers
English
Prefers
Science
Totals
Male
21
39
60
120
Female
135
AS
70
180
Totals
156
84
130
300
2 points
11. Of the male students surveyed, how many prefer science? (just the
number, not percent) *
60
12. What percent of students surveyeb prefer Math? -
2 points
Your answer
This is a required question
13. Of all students surveyed, what percent are females who prefer English? 2 points
Step-by-step explanation:
12. 136/300
=52%
13.45/300
=15%
Choose the correct simplification of (4x − 3)(3x² − 4x − 3).
Answer: 12x^3−25x^2+9
^ are the exponents
Step-by-step explanation:
i think the answer is 3x^2-x
Miles is buying a chair that regularly costs $250. Today the chair is on sale for 30% off. If the tax rate is 6%, what is the sale price of the chair including tax?
Answer:
not sure
Step-by-step explanation:
Which expression is equivalent to -6(-2/3 +2x)
Step-by-step explanation:
step 1. -6(-2/3 + 2x)
step 2. 12/3 + -12x. distributive property
step 3. 4 - 12x.
A company gives a starting salary of $50,000 and to increase the salary by
4% annually. What will be this salary after 3 years?
Answer:
$56243.20
Step-by-step explanation:
the equation would be 50000(1+4%)^3. Solve for that and get your answer.
Surface area of a rectangular prism if W = 6in L = 9in and H = 2in
Answer:
Step-by-step explanation:
Two faces are 6” by 9”. Two faces are 6” by 2”. Two faces are 9” by 2”.
Surface are = 2*6*9 + 2*6*2 + 2*9*2 = 108 + 24 + 36 = 168 square inches
Can I get some help here please
20 points
Answer:
It may helps you.
Step-by-step explanation:
thanks
please mark me as brainlist
and follow me........
A rectangular storage container without a lid is to have a volume of 10 m3. The length of its base is twice the width. Material for the base costs $15 per square meter. Material for the sides costs $9 per square meter. Find the cost (in dollars) of materials for the least expensive such container. (Round your answer to the nearest cent.)
Answer:
The least expensive cost = $245.32
Step-by-step explanation:
From the information:
Volume of the rectangular container = 10 m²
Assume the width of the container is = w
The base = 2 × width
= 2(w)
Volume = height × base × width
10 = h × 2w × w
[tex]h = \dfrac{10}{2w^2}[/tex]
[tex]h = \dfrac{5}{w^2}[/tex]
Now, to calculate the area of the base; we have:
[tex]Area = length \times width[/tex]
[tex]Area = 2w \times w[/tex]
[tex]Area = (2w^2) \ m^2[/tex]
[tex]Cost \ of \ base = 15 * 2w^2[/tex]
Cost of base = [tex]30w^2[/tex] --- (1)
[tex]Area \ of \ side = 2 ( height \times length ) + 2( height \times width) \\ \\ = 2 (h \times 2w) + 2(h\times w) \\ \\ = 4hw + 2hw \\ \\ = 6 hw \\ \\ = 6 \times \dfrac{5}{w^2} \times w \\ \\ Area = \dfrac{30 }{w} \ m^2[/tex]
Let's not forget that the cost of the sides = $9 per m²
Thus; the cost of the sides will be [tex]= \$ 9 \times \dfrac{30}{w}[/tex]
the cost of the sides [tex]= \dfrac{\$270}{w}[/tex]
Thus the total cost = cost of base = cost of sides
[tex]C(w) = 30w^2 + \dfrac{270}{w}[/tex]
By differentiation;
[tex]C'(w) = \dfrac{dC}{dw} \\ \\ = 30 \times 2w + 270 ( \dfrac{-1}{w^2}) \\ \\ C'(w) = 60 w - \dfrac{270 }{w^2} \\ \\[/tex]
[tex]\text{To determine the minimum cost:} \\ \\ C'(w) = 0 \\ \\ So, 60 w - \dfrac{270}{w^2}= 0 \\ \\ \text{By integrating w.r.t w} \\ \\ w ( 60 - \dfrac{270}{w^3}) =0 \\ \\ \implies 60 - \dfrac{270}{w^3} \\ \\ w^3 = \dfrac{270}{60} \\ \\ w^3 = \dfrac{9}{2} \\ \\ w = (\dfrac{9}{2})^{1/3} \\ \\ w = 1.6509 \ m[/tex]
From; [tex]C(w) = 30w^2 + \dfrac{270}{w}[/tex]
[tex]Cos t = \dfrac{30 w^3+ 270}{w} \\ \\ =\dfrac{30 (\dfrac{9}{2})+ 270}{1.6509} \\ \\ = \dfrac{135+270}{1.6509} \\ \\ = \dfrac{405}{1.6509} \\ \\ \mathbf{Cost = \$245.32}[/tex]
Find the sixth term of the
geometric sequence, given the
first term and common ratio.
a =5 and r=3/2
2
Answer:
[tex]T_6 = 37.96875[/tex]
Step-by-step explanation:
Given
[tex]a =5[/tex]
[tex]r = \frac{3}{2}[/tex]
Required
Determine the 6th term
This is calculated as:
[tex]T_n = ar^{n-1[/tex]
Where
[tex]n = 6[/tex]
Substitute [tex]n = 6[/tex], [tex]a =5[/tex] and [tex]r = \frac{3}{2}[/tex]
[tex]T_6 = 5 * (\frac{3}{2})^{6-1[/tex]
[tex]T_6 = 5 * (\frac{3}{2})^{5[/tex]
[tex]T_6 = 5 * (\frac{243}{32})[/tex]
[tex]T_6 = 5 * \frac{243}{32}[/tex]
[tex]T_6 = \frac{5 *243}{32}[/tex]
[tex]T_6 = \frac{1215}{32}[/tex]
[tex]T_6 = 37.96875[/tex]
Which angle number represents an angle adjacent to
Answer:
3 ihink t
Step-by-step explanation:
ohn works Monday to Friday. He buys his lunch on his way to work. Each day John buys a sandwich, a bottle of water and a bag of crisps. John thinks he will save more than £7.50 a week if he buys his lunch each day from shop B instead of shop A. Is John correct? You must show your working.. Single line text.
(4 Points)

Answer:
papta nahi osa kuch kahta Bahar Holi to
IM MARKING BRAINIEST PLS HELP BEFORE 10:55!!
Answer:
IT'S A LITTLE LATE NOW BUT LET ME SEE XD
Step-by-step explanation:
The x is the first on y is the second the domain is the one that starts with 4.75 and the range is the last one...Hope I helped
Simplify: (x1/2y3)6
A) x12y18
B) x12y9
C) x3y18
D) x3y9
You start driving north for 16 miles, turn right, and drive east for another 30 miles. At
the end of driving, what is your straight line distance from your starting point?
Answer: The distance between starting and ending point is 34 miles.
I WILL GIVE BRAINIEST ASAP IF ANSWERED ASAP
Answer:
56 degrees :)
Answer:
56 degrees
Step-by-step explanation:
the angle next to 76 degrees is a straight line so it is supplementary, meaning it is 104 degrees.
Because the two lines are parallel, and are cut through a transversal, the angle that we just found is actually equal to 48+x because of alternate interior angles. solving for x we get 104-48 = x
x=56
Solve each system of equations by substitution
x + 4y = 19
x - 2y = 1
What is the product of x and y ?
The value of product of x and y is, 21
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
WE have to given that;
System of equation ae,
x + 4y = 19 .. (i)
x - 2y = 1 .. (ii)
From (i);
x + 4y = 19
x = 19 - 4y
substitute it for the (ii) equation;
x - 2y = 1
19 - 4y - 2y = 1
19 - 6y = 1
-6y = -18
y = 3
Hence, From (i);
x + 4y = 19
x + 12 = 19
x = 7
So, The value of product of x and y is,
x × y = 3 × 7 = 21
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A sewing project requires 6 1/8 yd of material that sells
for $4 per yard and 3 1/4 yd of material that sells for $3 per
yard. Choose the best estimate for the cost of the project:
a. Between $30 and $40
b. Between $20 and $34
c. Between $36 and $40
d. Between $33 and $40
The best estimate for the cost of the sewing project is between $30 and $40. Hence option 'a' is correct.
Use the concept of fraction defined as:
A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction.
It can be written as the form of [tex]p : q[/tex], which is equivalent to p / q.
Given that,
The sewing project also requires 3 1/4 yards of material selling for $3 per yard.
To calculate the cost of the sewing project:
Compute the cost of each type of material separately and then add them together.
For the first type of material:
We need [tex]6\dfrac{1}{8}[/tex] yards, which is equivalent to 6.125 yards.
The cost of this material would be,
6.125 x 4 = $24.50
For the second type of material:
We need [tex]3\dfrac{1}{4}[/tex] yards, which is equivalent to 3.25 yards.
The cost of this material would be,
3.25 x 3 = $9.75.
Now, add the costs of the two types of materials together:
$24.50 + $9.75 = $34.25.
Hence,
The cost of the project would be between $30 and $40,
Which is option a.
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