Answer:
One of the practical situation of geometric series is : A ball bouncing is an example of a finite geometric sequence. Each time the ball bounces it’s height gets cut down by half. If the ball’s first height is 4 feet, the next time it bounces it’s highest bounce will be at 2 feet, then 1, then 6 inches and so on, until the ball stops bouncing
Answer:
Geometric series are seen in practical situations, most notably in those involving geometric growth or decay. If a series of numbers are formed by percentages, then it can result in a geometric sequence. Ex. compound interest (see below).
Step-by-step explanation:
A geometric series is the result of adding the terms of a geometric sequence. These sequences have a common ratio, r, which is used to find missing terms. The common ratio is found with [tex]r=\frac{a_n}{a_{n-1}}[/tex]. For example, [tex]a_1(r)=a_2, \mbox{ and } a_2(r)=a_3... \mbox{ etc.}[/tex]
Geometric sequences can be used to model practical situations, and such situation could involve geometric growth or decay.
A geometric sequence can be used to model compound interest. An example of this is [tex]A = P (1 + \frac{r}{100})^n[/tex] where the common ratio, r, of the series is equal to 1 + r/100 in the compound interest formula above.
Select ALL the expressions that have a value of 2² – 3³ + 29.
1. (78 ÷ 3) – 24
2. 83 – 14 × 62 – 2
3. –|–6|
4. |–6|
5. 72 – 3.1 – 19 × 2.1
There is no expression that is the same as the value of 2² – 3³ + 29 which is = 2.
Simplification of the given expressionTo simplify the expression 2² – 3³ + 29. is as follows:
2² – 3³ + 29 = 4- 9+29
= 29 -5
= 24
(78 ÷ 3) – 24. To simplify is = 78/3=26-24 = 2 (false)83 – 14 × 62 – 2. To simplify is = 69- 60 = 9 (false)–|–6|. To simplify is -(-6) = +6( false)-6( false)72 – 3.1 – 19 × 2.1: To simplify is = 49.9×2.1 = 104.79 (false)Therefore, there is no expression that is the same as the value of 2² – 3³ + 29. which is 2.
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Points J, Q, K, and l are on the given circle. If Arc KL measures 120 degrees, and Angle KML measures 98 degrees, what is the measure of Arc JQ?
The value of the measure of Arc JQ from the given task content is; 142⁰.
What is the measure of Arc JQ?The measure of Arc JQ can be evaluated by establishing a fact that; the total angle measure in a circle by convention is; 360⁰.
On this note, it follows that the measure of Arc JQ is; 360 - 120 - 98 is; 142⁰.
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Assume that 48% of the voters in New York favor a certain legislative proposal. De- termine how many voters in New York need to be sampled so that the magnitude of the difference between the observed relative frequency of those favoring the proposal and the population frequency does not exceed 0.01 with probability 0.99.
The number of the voters in the Newyork need to be sampled will be P=19,782.
What is Probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
It is given in the question that:-
Voters percentage=48%
Margin of error=0.01
Z value at 0.99 = 2.58
By using the formula:-
[tex]\rm M=z\sqrt{\dfrac{\pi(1-\pi)}{n}[/tex]
By putting the values:-
[tex]0.01=2.58\sqrt{\dfrac{0.48(1-0.48)}{n}[/tex]
[tex]\sqrt{n}=\dfrac{1.40}{0.01}[/tex]
[tex]n=19784[/tex]
Hence the number of the voters in the Newyork need to be sampled will be P=19,782.
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2. What is the measure of angle A?
Answer:
the answer is 63 degrees
Step-by-step explanation:
5) Mary is taking a swimming lesson on a rectangular pool which is 9 meters wide and 12 meters long. Find the area of the swimming pool.
a. What is asked?
b. What are given?
c. What is/are the operation/s to be used?
d. What is the number sentence?
e. What is the answer?
Communicate Precisely: Suppose the numbers on the clock face are removed.
Write instructions that another person could follow to move the minute hand from 2 to 6.
In order to move the minute hand from 2 to 6 first move 60 degrees clockwise then 120 degrees clockwise.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
We have:
On a clock, numbers 1 to 12 are printed on it.
If numbers on the clock face are removed.
As we know, the clock is a circle and has a total angle of 360 degrees.
Angle between the two numbers = 360/12 = 30 degree
Then the following instructions have to be followed in order to move the minute hand from 2 to 6:
Set the minute hand vertically up.Move 60 degrees in a clockwise direction, it will be on number 2.Now move 120 degrees in a clockwise direction, it will indicate the number 6.Thus, in order to move the minute hand from 2 to 6 first move 60 degrees clockwise then 120 degrees clockwise.
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Convert: 92 ounces = _____ pounds _____ ounces
9 pounds 2 ounces
5 pounds 2 ounces
1,472 pounds 0 ounces
5 pounds 12 ounces
Answer:
5 pounds and 12 ounces.
Step-by-step explanation:
Divide it all by 16, and you should get 5 with a remainder of 12 (which is the remaining ounces). Hope it helps ! ^_^
Answer:
5 pounds 12 ounces
Step-by-step explanation:
I copied the other answer
A price of a tablet is cut by 30% and the new cost is $210. How much did the tablet cost before the price was cut
Answer:
$273
Reason:
I believe this is right
T
yler wants to determine if an individual's age affects whether or not they like jazz, rock, or country music. Which type of inference test should Tyler use?
The appropriate test is the chi-squared test for association/independence.
What is an inference test?A statistical inference involves hypothesis testing about a population using a sample.
In this case, Tyler wants to determine if an individual's age affects whether or not they like jazz, rock, or country music. The appropriate test is the chi-squared test for association/independence.
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Answer:
chi-squared test
Step-by-step explanation:
Got it right on the test.
Find the lateral area and surface area of the regular square pyramid.
Round to nearest tenth.
Answer:
Step-by-step explanation:
lateral edge is an edge from the base to the vertex. As opposed to a base edge.
If the base edge is 6, the base diagonal is 6√2
Now draw a right triangle from the center of the base to the vertex, including one base corner.
(6√2/2)^2 + h^2 = (√34)^2
18 + h^2 = 34
h = 4
So, now we have height 4 and base edge 6, so the faces are triangles with
base = 6
height = √(3^2 + 4^2) = 5
lateral area is thus 4 * 1/2 (6)(5)
add the square base if desired.
13 - 6(2 − 6)² +8 evaluate
Step-by-step explanation:
______________________13 - 6 ( 2 - 6 )² + 8
= Solution
= 13 - 6 (- 4 ) ² + 8
Now...remove the negative number...because negative number raise to even powers are positive...
= 13 - 6 × 4² + 8
= 13 - 96 + 8
= 13 + 8 - 96
= 21 - 96
= - 75
Hence the answer is - 75....
[tex]..[/tex]
______________________Write an equation in slope-intercept form for the relationship in the table.
The equation of the relationship in the table, in slope-intercept form, is: y = x + 5.
What is the Slope-intercept Form?The slope-intercept form for a relationship between two variables x and y is represented as: y = mx + b, where:
m = slope = change in y / change in xb = y-intercept.Slope (m) = change in y / change in x = 47 - 42 / 42 - 37 = 5/5
Slope (m) = 1
Substitute (37, 42) = (a, b) and m = 1 into y - b = m(x - a):
y - 42 = 1(x - 37)
y - 42 = x - 37
y = x - 37 + 42
y = x + 5
Equation for the relationship in the table is: y = x + 5
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PLEASE HURRY
no links please
Stef rolls two six-sided number cubes. What is the probability that she rolls a 1 on
the first cube and a number greater than 1 on the second cube?
Use the diagram of
the sample space to help you.
A. 3/36 = 1/2
B. 5/36
C. 6/36 = 1/6
D. 1/36
please get this right because i might failll :(
Answer:
The answer is 5/36.
Step-by-step explanation:
Test approved.
The probability that she rolls a 1 on the first cube and a number greater than 1 on the second cube is 5/36.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
Given that Stef rolls two six-sided number cubes.
Based on the diagram of the sample space.
Therefore, the probability that she rolls a 1 on the first cube and a number greater than 1 on the second cube
= 5/36.
Hencce, the correct option is B.
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Will give brainliest.
Answer:
Im pretty sure its "A. 6"!
Have a nice day! :)
The ratio of cats to dogs at the veterinarian is 21:39. What percent of the total animals are cats?
Answer:
35%
Step-by-step explanation:
Assuming that there are no other animals in the vet other than dogs and cats, that means the total amount of animals is 21 + 39, which is 60 animals. To find the percent of cats, simply place the number of cats based on the ratio (21) over the total number of animals (60) and multiply by a 100:
21/60 = 0.35
0.35 x 100 = 35%
Hope this helps!!
Answer:
35%.
Step-by-step explanation:
Fraction that are cats = 21 / (21+39)
= 21/60
= 100 * 21/60
= 35%.
Pls help me with this
Let's find the area!!
«------«----------»----------»
2 × 5 + 2 × 5 + 3 × 210 + 10 + 620 + 626«------«----------»----------»
Therefore, your answer is D. 26cm^2!!!!!
Find two pairs of integers whose product is -20.
Answer:
-10 x 2 and -5 x 4
Step-by-step explanation:
An integer is a number that must be whole and can either be negative or positive. The product is the total value from multiplying values.
Applicable equations:
-10 x 2 = -20
10 x (-2) = -20
-5 x 4 = -20
5 x (-4) = -20
-1 x 20 = -20
1 x (-20) = -20
Triangle ABC is similar to triangle DEF.
a. Find the scale factor from triangle ABC to triangle DEF.
b. Find x.
c. Find y.
Answer: x=7.7, y=40
3/x = 15/38.5
38.5*3=115.5
115.5/15= 7.7
x=7.7
3/8 = 15/y
15*8=120
120/3= 40
y=40
orrrr you can just easily find the scale factor which is 5, multiply 8 by 5 and get 40. And 38.5/5 which is 7.7
Find the value of sin E rounded to the nearest hundredth, if necessary.
Answer:
Step-by-step explanation:
using sin formula
[tex]\frac{sin~E}{15} =\frac{sin ~90}{39} \\sin ~E=15 \times ~\frac{1}{39} =\frac{5}{13}[/tex]
1. From where do we get fibre?
Answer:
Grain, fruit, and vegetables are where natural fibers are found.
3 years ago, the residents of Planet X found a black hole leading to another galaxy. Since then, they have been leaving Planet X at a rate of 120 residents per year.
The following equation describes this situation:
\quad -120\cdot 3 = -360−120⋅3=−360minus, 120, dot, 3, equals, minus, 360
What does -360−360minus, 360 tell us?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
A total of 360360360 residents left Planet XXX in the past three years.
(Choice B)
B
360360360 residents left Planet XXX each year.
(Choice C)
C
None of the above
Answer:
A total of 360 residents left Planet X in the past 3 years.
Step-by-step explanation:
120 are the residents per year and the 3 represents the years so when you multiply them it would make how many residents that left Planet X in 3 years.
Answers
A total of 360 residents left Planet X in the past 3 years.
Step-by-step explanation:
120 are the residents per year and the 3 represents the years so when you multiply them it would make how many residents that left Planet X in 3 years.A total of 360 residents left Planet X in the past 3 years.
Mitch walks 30 meters in 20 seconds. How many meters does Mitch walk per second?
Answer:
1.5 meters per second
Step-by-step explanation:
30 ÷ 20 = 1.5
Please help! I need the right answer : (
A cone with the height h radius r has volume v=1/3 m2h. if the cone has a height of 6 in. And volume of v=8♊︎(pie)x+24m♊︎(pie), what is the radius r in terms of x? A. r=3x+2. B. r=4x^2+12x+9. C. r=2x+3 D. r= (2x+3) (2x-3)
Answer:9514 1404 393
Answer:
h = 3V/(πr²)
Step-by-step explanation:
The formula can be solved for h by multiplying both sides by the inverse of the coefficient of h.
_____
Additional comment
Whenever a variable has a coefficient you don't want, you can make that be 1 by multiplying the equation by the inverse of the coefficient. This is the same as dividing by the coefficient. This makes use of the fact that for any non-zero 'a', the ratio a/a has a value of 1. Anything multiplied by 1 is unchanged.
V = ah ⇒ V/a = (ah)/a = h(a/a) = h·1 = h
Note that we multiply the whole equation (both sides of the equal sign) by 1/a. The basic rule of equality is that you can do whatever you like to an equation, as long as you do it to both sides.
Step-by-step explanation:
If f(x) = x2 + 7, what is the equation for f'(x)?
A f'(x) - IVX+7
B f'(x) - +X-7
C f''(x) = 5x +7
D f'(x)= 7/8-7
Answer:
2x
Step-by-step explanation:
[tex]\bullet\ (x^2)^{\prime}=2x\\\\\bullet\ (7)^{\prime}=0[/tex]
[tex]\Longrightarrow f^{\prime }\left( x\right) =\left( x^{2}+7\right)^{\prime } =(x^2)^{\prime}+(7)^{\prime}=2x[/tex]
i need help with this question
Answer:
Simulation --> An imitation
Sample --> The part of a population
Biased sample --> A sample that is not
Population --> A group
use the information provided to write the equation of each circle. center: (3, -15) radius: 3
Equation of circle in general
(x-h)²+(y-k)²=r²For centre at (h,k)
So our equation is
(x-3)²+(y+15)²=3²(x-3)²+(y+15)²=9answer for branliest!
Answer: 19.62 * 10^7 cm
Step-by-step explanation:
Let a and b be rectangle sides.Area = a * bPerimeter = a + b + a + b = (a + b) * 2a = 9.2 * 10^7 cm
Area = 5.612 * 10^14 cm^2
Find: Perimeter - ?
Area = a * bb = Area / ab = (5.612 * 10^14) / (9.2 * 10^7) = 0.61 * 10^7 cm
Perimeter = (a + b)*2Perimeter = (9.2 * 10^7 + 0.61 * 10^7) * 2 = (9.2 + 0.61) * 10^7 * 2 = 9.81 * 2 * 10^7 = 19.62 * 10^7 cm
John writes 2 1/3 pages in an hour. Going at the same speed, how many pages he can write in 5 1/7 hours?
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
Given - John writes [tex]\underline{\: 2\frac{1}{3}}\\[/tex]pages in an hourTo find - number of pages he can write in [tex]\underline{5\frac{1}{7}}\\[/tex]hoursthis question can be easily solved by using unitary method ~
[tex]number \: of \: pages \: he \: can \: write \: in \: 1 \: hour = 2 \frac{1}{3} \\ \\ \longrightarrow \: \frac{7}{2} \: pages \\ \\ \\ \therefore \: number \: of \: pages \: he \: can \: write \: in \: 5 \frac{1}{7} hours \\ \\ \longrightarrow \: \frac{7}{2} \times 5 \frac{1}{7} \\ \\ \longrightarrow \frac{\cancel7}{2} \times \frac{36}{\cancel7} \\ \\ \longrightarrow \: 18 \: pages[/tex]
hope helpful ~
Consider the line y=-2/3x+9 . Find the equation of the line that is parallel to this line and passes through the point (-8,3) . Find the equation of the line that is perpendicular to this line and passes through the point (-8,3) .
The equation of line which is parallel to line is y = (-2x-7)/3.
What is Gradient?
Gradient is the ratio between change in y-axis to change in x-axis.
Here, Given Equation of line is y = [tex]\frac{-2}{3}x+9[/tex]
gradient of line m₁ = -2/3
Equation of line passing through point (-8, 3) and gradient -2/3 (parallel to given line) is
(y - y₁) = m₂(x - x₁)
( y - 3) = -2/3(x+8)
3y - 9 = -2x -16
3y = -2x -16 + 9
3y = -2x -7
y = (-2x-7)/3
Thus, the equation of line which is parallel to line is y = (-2x-7)/3
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Can someone help me please!!!
Answer:
5. is 18 your welcome
Step-by-step explanation: