Answer:
the answer is b
Step-by-step explanation:
ive did it before
Find the sum of the geometric series 100+20+…+0.16
Answer:
c) 124.96
Step-by-step explanation:
Geometric series: 100 + 20 + ... + 0.16
First we need to find which term 0.16 is.
General form of a geometric sequence: [tex]a_n=ar^{n-1}[/tex]
(where a is the first term and r is the common ratio)
To find the common ratio r, divide one term by the previous term:
[tex]\implies r=\dfrac{a_2}{a_1}=\dfrac{20}{100}=0.2[/tex]
Therefore, [tex]a_n=100(0.2)^{n-1}[/tex]
Substitute [tex]a_n=0.16[/tex] into the equation and solve for n:
[tex]\implies 100(0.2)^{n-1}=0.16[/tex]
[tex]\implies (0.2)^{n-1}=0.0016[/tex]
[tex]\implies \ln(0.2)^{n-1}=\ln0.0016[/tex]
[tex]\implies (n-1)\ln(0.2)=\ln0.0016[/tex]
[tex]\implies n-1=\dfrac{\ln0.0016}{\ln(0.2)}[/tex]
[tex]\implies n=\dfrac{\ln0.0016}{\ln(0.2)}+1[/tex]
[tex]\implies n=5[/tex]
Therefore, we need to find the sum of the first 5 terms.
Sum of the first n terms of a geometric series:
[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]
Therefore, sum of the first 5 terms:
[tex]\implies S_5=\dfrac{100(1-0.2^5)}{1-0.2}[/tex]
[tex]\implies S_5=124.96[/tex]
Find the slant height of a cone given that its lateral area is 144π cm2 and the diameter is 9 cm. diameter 9 cm 2 cm 32 cm 4 cm 18 cm
Answer:
32 cm.
Step-by-step explanation:
Lateral area = πrL
where r = radius of the base and L = the slant height.
The radius = 1/2 * diameter = 4.5 cm.
So from the values given:
144π = π* 4.5 * L
4.5L = 144
L = 144/4.5
= 32 cm.
Find the probability of each event
A bag contains nine real diamonds and
three fake diamonds. If nine diamonds are
picked from the bag at random, what is the
probability that all of them are real?
Answer: If replaced: 0.075 or 7.5%
If not replaced: 0.00455 or 0.455%
Step-by-step explanation:
If the diamonds are replaced after each draw:
The probability of drawing a real diamond is 9/12, found by making the numerator the number of real diamonds and adding the total number of diamonds to find the denominator. 3+9 = 12.
9/12 can be reduced to 3/4 by dividing the numerator and denominator by 3.
To find the probability of all 9 diamonds drawn being real, multiply 3/4 by itself 9 times. [tex]3^9[/tex] = 19683. [tex]4^9[/tex] = 262144. This creates a probability of 19683/262144. This cannot be reduced because there is no common factor. To express as a decimal, divide. 19683/262144 = 0.07508. To turn this into a percent, multiply by 100. 0.07508*100 = 7.508
If the diamonds are not replaced after each draw:
Start with the probability of drawing a single diamond: 9/12. After each draw, both the numerator and denominator have 1 subtracted from them, since there is 1 less real diamond and 1 less diamond in total. This will give you the equation (9/12)*(8/11)*(7/10)*(6/9)*(5/8)*(4/7)*(3/6)*(2/5)*(1/4). This equals 0.00455. To find as a percent, multiply by 100. 0.00455*100 = 0.455
Consider ΔWXY and ΔBCD with ∠X ≅∠C, WX ≅ BC, and WY ≅ BD.
Can it be concluded that ΔWXY ≅ ΔBCD by SAS? Why or why not?
no, because the third corresponding sides must also be given as congruent
no, because the corresponding congruent angles listed are not the included angles
no, because all corresponding angles must be given as congruent
yes, because two corresponding sides and a corresponding angle are congruent
Answer: no, because the corresponding congruent angles listed are not the included angles
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Did it on Edge
l-71l – l-36l
l105l – l-211l
Answer:
1. -35
2. 316
Hope you can understand my handwriting!
Write the first trigonometric expression in terms of the second expression. Cot(x); sin(x)
The first trigonometric expression cot x and sin x in terms of the second expression is one over tan x and one over cosec x.
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
Write the first trigonometric expression in terms of the second expression.
The cotangent can be written as
[tex]\cot x= \dfrac{1}{\tan x}[/tex]
And the sine can be written as
[tex]\sin x = \dfrac{1}{\csc x}[/tex]
More about the trigonometry link is given below.
https://brainly.com/question/22698523
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if the graph of the equation equals y=3^x is reflected on the y-axis, the equation of the reflection is
Answer:
y = 3^-x
Step-by-step explanation:
Reflecting a point across the y-axis changes the sign of the x-coordinate. The graph of a function y = f(x) will be reflected in the y-axis by replacing x with -x. The reflected function is y = f(-x).
__
The reflected function is ...
y = 3^-x . . . . . . x has been replaced by -x
Manny and Susan have an egg carton full of eggs to use for their science project. Manny uses 1/3 of the eggs and Susan uses 1/2 of the eggs. Which fraction of the eggs did Manny and Susan use for their project?
A. 5/6 of the eggs
B. 2/5 of the eggs
C. 2/3 of the eggs
D. 1/5 of the eggs
The price per mp3 download 5 years ago was $0.99. Now, each mp3 download costs $1.29. Which statement is true?
A
The average change in the price per mp3 download was an increase of $0.06 per year because−0.3/5=−0.06.
B
The average change in the price per mp3 download was a decrease of $0.06 per year because −0.3/5 = −0.06
C
The average change in the price per mp3 download was an increase of $0.06 per year because 0.3/5 = 0.06.
D
The average change in the price per mp3 download was a decrease of $0.06 per year because 0.3/5 = 0.06.
Answer:
C
Step-by-step explanation:
I answered so you could give other person brainliest lol, also it is correct just finished the test and got it right!
It takes 6 hours for 20 workers to seed 40 acres.
How long would it take 10 workers to seed 90 acres?
Answer:
27 hours
Step-by-step explanation:
We are given the information that it takes 6 hours for 20 workers to seed 40 acres. This means that with 20 workers the rate is 40 acres in 6 hours, or 40/6 = 6.67 acres per hour. When we only have 10 workers, we only have half as many people, therefore the rate will be twice as slow, so with 10 workers, the rate is 6.67/2 = 3.34 acres/hour.
To find how long it takes to seed 90 acres we just need to divide 90 by the rate. 90/3.34 = 27 hours.
Hope this helped!
Write an expression for the sequence of
10 increased by the sum of 9 and n
Answer:
10 + (9 + n) = ?
The list shows the thickness of ice on the roads after a storm. On the line plot each x represents 1 measurement which line plot matches the data
Answer:
Step-by-step explanation:
Ice sheets have one particularly special property. They allow us to go back in time and to sample accumulation, air temperature and air chemistry from another time[1]. Ice core records allow us to generate continuous reconstructions of past climate, going back at least 800,000 years[2].
Ice coring has been around since the 1950s. Ice cores have been drilled in ice sheets worldwide, but notably in Greenland[3] and Antarctica[4, 5]. High rates of snow accumulation provide excellent time resolution, and bubbles in the ice core preserve actual samples of the world’s ancient atmosphere[6].
Use the quadratic formula to solve for X.
2x- + 6x= -3
Round your answer to the nearest hundredth.
If there is more than one solution, separate them with commas.
Answer:
x = 0.75 and or x = -0.38
Step-by-step explanation:
If the minus sign after the x was on purpose or if you accidentally put the addition sign after the minus or the other way around basically I have no idea if the solution I provided is correct so here's the solution to both possible equations you might have meant to type instead (and if this was intentional then awesome):
1. 2x - 6x = -3 and 2. 2x + 6x = -3
Let's do 1. first!
[tex]2x-6x=-3[/tex]
Simplify 2x-6x to -4x
[tex]-4x=-3[/tex]
Divide each side by -4
[tex]x=\frac{-3}{-4}[/tex]
And as you know, two negatives equal/make a positive
[tex]x=\frac{3}{4}[/tex] or [tex]x=0.75[/tex]
Now! Let's solve for 2.
[tex]2x+6x=-3[/tex]
Simplify 2x+6x to 8x
[tex]8x=-3\\[/tex]
Divide both sides by 8
[tex]x=\frac{-3}{8}[/tex]
[tex]x=-\frac{3}{8}[/tex] or [tex]x=-0.375[/tex]
An environmentalist measures the concentration of pollutants in a number of ponds in a region. She estimates the numbers of a
species of frog in each case, and finds a negative correlation between the pollutant concentration and the number of frogs per
unit area
Which statement BEST describes why the investigation is an observational study?
03-))
A)
There is only one independent variable in the study
B)
The researcher does not set the values of the independent variable.
It is not possible to set the concentration of pollutants in a sample of
water
D)
The researcher estimates the numbers of frogs, instead of counting them
directly
Collect Data
(MSRC Study Design And Scope
Answer:
Its B)
Step-by-step explanation:
I took it hopes this help
You and your friend are in the studio audience of a television game show. the show randomly picks 2 people in the audience. if there are 300 people in the audience, what is the possibility of you and your friend being chosen
Answer:
2/300, or simplified: 1/150. Decimal: 0.006
Step-by-step explanation:
give the line that is parallel to the line y=-5x-2 and goes through (3,-9)
Answer: I don’t think there is such a line. A Line that passes through the point (3,-9) must have a positive slope, unlike the line y=-5x-2, which has a negative slope. If a line where to go through (3,-9), is would intersect the line you presented.
Expand 2x(3 - x)
Can anyone give a step by step of this
Answer:
= 6x - 2[tex]x^{2}[/tex]
Step-by-step explanation:
2x(3 - x)
= 6x - 2[tex]x^{2}[/tex]
[tex]\large\textit{Expand 2x(3-x)}[/tex]
How will we expand this expression? Is there a property in mathematics that we can use to expand this?
The answer is "Yes". There is indeed a property that we can use, and it's called "The distributive property".
[tex]\ast[/tex] As the name implies, we distribute a number, variable, or a combination of the two.
We distribute by multiplying this number or variable or whatever we need to distribute by the expression inside the parentheses, as follows :
[tex]\tt{2x\:times\:3\:and\:-x}[/tex]
which results in
[tex]\tt{6x-2x^2}[/tex]
hope it's helpful!wishing you a great day![tex]\mathbb{LUSCIOUS\:SNACKS}-Greetings\:![/tex]
--
Can someone please help? the value of a plot of land increases 8% every year. the value is $350000 now, and the owner wants to sell it when the value is at least $570000. shanna writes an exponential function of the form, v(t)=a*b^t, to model the value,v, of the land in t years. i need to know what the value of b is and the domain
The value of b in the exponential function which is formed by Shanna for the price of land is 8% or 0.08.
What is percentage increase ?Percentage increase is the amount added to the initial value in the percentage part.
The value of a plot of land which is increases 8% every year has the current value of $350000.
The final value owner wants is $570000. Shanna writes an exponential function of the form, to model the value,v, of the land in t years as,
[tex]v(t)=a\times b^t[/tex]
Here, in this exponential function the value of a is fixed or initial term which is $350000 and the value of b is the constant term which is change factor. Here, the value of b is 8%.
b=8%
b=8/100
b=0.08
Thus, the value of b in the exponential function which is formed by Shanna for the price of land is 8% or 0.08.
Learn more about the percentage increase here;
https://brainly.com/question/2085058
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Find the surface area
Answer:
59.4
Step-by-step explanation:
Answer:
200.96 square feet
Step-by-step explanation:
SA = 2pi(r²) + 2pi(r)h
r = 2
pi = 3.14
h = 14
SA = 2(3.14)2² + 2(3.14)(2)14
SA = 6.28(4) + 6.28(2)14
SA = 25.12 + 175.84
SA = 200.96
16) Consider the sequence of steps to solve the equation:
5(x - 3) =
2
7x
-
Step 1 => 10(x - 3) = 7x
Step 2 = 10x - 30 - 7x
Step 3 => 3x - 30 - 0
Step 4 => 3x = 30
Step 5 => x= 10
Identify the property of equality which gets us from Step 3 to Step 4.
A) Division Property
B) Addition Property
C) Subtraction Property
D) Multiplication Property
Answer:
B) addition property
Step-by-step explanation:
thinking that 3x - 30 - 0 should equal 0.
3x - 30 - 0 = 0
to get rid of numbers on side with variables, we have to add them to both sides (to make it 0 in side with variable.)
3x - 30 - 0 = 0
+30 +0 = +30 +0
3x = 30 <- step 4
Complete the general solution to y = cos-1(0.8480).
y = 328° 360° k
y = 32° 360° k
y = 148° 360° k
Answer:
y = 32 degrees
Step-by-step explanation:
Identify the function that best model is the given data
Answer:
f(x) ≈ −2.42x3 + 15.89x2 − 7.55x + 12
Step-by-step explanation:
Notice that the year data are evenly spaced. Check the first differences between the total number or units to see if the data set is linear.
First Differences
41 − 18 = 23
67 − 41 = 26
82 − 67 = 15
69 − 82 = −13
17 − 69 = −52
Because the first differences are not constant, a linear model is not the best model of the data. Check the second differences to see if the data set can be modeled by a quadratic function.
Second Differences
26 − 23 = 3
15 − 26 = −11
−13 − 15 = −28
−52 − (−13) = −39
Because the second differences of the independent variable are not constant, a quadratic model is not the best model of the data. Check the third differences to see if the data set can be modeled by a cubic function.
Third Differences
−11 − 3 = −14
−28 − (−11) = −17
−39 − (−28) = −11
The third differences are approximately the same so we will use a cubic function to represent the data.
Enter the data into a calculator. Plot the data and find the cubic regression equation that best models the data.
f(x) ≈ −2.42x3 + 15.89x2 − 7.55x + 12
What is the equation of the line in slope- intercept form
A: y= x+8
B: y=x-8
C: y= 8x+8
D: y=8x-8
Answer:
D
Step-by-step explanation:
i also don't understand this one
Answer:
D 280
Step-by-step explanation:
one of the terms in the binomial (b+Tv)^n is 3075072b^5v^10. What are the values of T and n?
Answer:
T is 5 and n is 10
Step-by-step explanation:
just relate the (b+Tv)^n with 3075072b^5v^10
A company has recently been hiring new employees. today the company has 35% more employees than it did a year ago. if there are currently 37,800employees, how many employees did the company have a year ago?
Answer:
28000 employeeStep-by-step explanation:
let x be the number of the employees of the company ,a year ago.
the statement “today ,the company has 35% more employees than it did a year ago”
means
[tex]x+\frac{35}{100} x=37800[/tex]
[tex]\Longrightarrow x\times \left( \frac{100}{100} +\frac{35}{100} \right) =37800[/tex]
[tex]\Longrightarrow x\times \left( \frac{135}{100} \right) =37800[/tex]
[tex]\Longrightarrow x=\frac{37800\times 100}{135}[/tex]
[tex]\Longrightarrow x =28000[/tex]
Which expression is equivalent to 4(2.1+3.1)-2(1.4)?
Answer:
We need to just focus on first adding up the two numbers inside of the first parenthesis to see if we get our answer.
[tex]4(2.1 + 3.1) - 2(1.4)[/tex]
[tex]4(5.2) - 2(1.4)[/tex]
This proves that option B is a solution and since we can only choose one option that means that we have our answer.
Hope this helps! Let me know if you have any questions
Find the Surface Area of the Cone
Answer:
1130,97
Step-by-step explanation:
Triangle A'B'C' is a dilation of triangle ABC.
What is the scale factor?
Enter your answer in the box.
Answer:
Scale Factor : 2
2 times
Step-by-step explanation:
18/ 9 = 2
9/ 4.5 = 2
9/ 4.5 = 2
A toy airplane costs 4.84. it costs as much as toy car. what is the cost of the car?
Answer:
4.84$
Step-by-step explanation:
if it cost the same it gives you the awnser 4.84.
