11 term of 7 -28 112
Answers
The 11th term of this geometric sequence 7 -28, 112, .... include the following: 7,340,032.
How to calculate the nth term of a geometric sequence?In Mathematics, the nth term of a geometric sequence can be calculated by using this mathematical equation (formula):
aₙ = a₁rⁿ⁻¹
Where:
aₙ represents the nth term of a geometric sequence.r represents the common ratio.a₁ represents the first term of a geometric sequence.Next, we would determine the common ratio as follows;
Common ratio, r = a₂/a₁
Common ratio, r = -28/7
Common ratio, r = -4
For the 11th term, we have:
a₁₁ = 7(-4)¹¹⁻¹
a₁₁ = 7,340,032.
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Related Questions
group of six software packages available to solve a linear programming problem have been ranked from 1 to 6 (best to worst). an engineering firm, unaware of the rankings, randomly selects and then purchases three of the packages. let y denote the number of packages purchased by the firm that are ranked 3, 4, 5, or 6. give the probability distribution for y.
Answers
The probability distribution for y is as follows:
P(y = 0) = 1/60,
P(y = 1) = 33/60,
P(y = 2) = 20/60,
P(y = 3) = 12/60.
To find the probability distribution for y, we need to determine the possible values for y and their corresponding probabilities.
1. First, let's determine the possible values for y. Since the engineering firm randomly selects and purchases three packages out of six, y can take on values from 0 to 3.
2. If y = 0, it means none of the packages purchased by the firm are ranked 3, 4, 5, or 6. The probability of this happening is the probability of selecting three packages from the top two ranks (1 and 2), which is (2/6) * (1/5) * (1/4) = 1/60.
3. If y = 1, it means exactly one package purchased by the firm is ranked 3, 4, 5, or 6. The probability of this happening is the probability of selecting one package from the top two ranks (1 and 2) and two packages from the bottom four ranks (3, 4, 5, and 6). There are three possible scenarios: (2/6) * (4/5) * (3/4) = 12/60, (2/6) * (3/5) * (4/4) = 12/60, and (2/6) * (3/5) * (3/4) = 9/60. The total probability is 12/60 + 12/60 + 9/60 = 33/60.
4. If y = 2, it means exactly two packages purchased by the firm are ranked 3, 4, 5, or 6. The probability of this happening is the probability of selecting two packages from the top two ranks (1 and 2) and one package from the bottom four ranks (3, 4, 5, and 6). There are three possible scenarios: (2/6) * (1/5) * (4/4) = 8/60, (2/6) * (1/5) * (3/4) = 6/60, and (2/6) * (1/5) * (3/4) = 6/60. The total probability is 8/60 + 6/60 + 6/60 = 20/60.
5. If y = 3, it means all three packages purchased by the firm are ranked 3, 4, 5, or 6. The probability of this happening is the probability of selecting three packages from the bottom four ranks (3, 4, 5, and 6), which is (4/6) * (3/5) * (2/4) = 12/60.
Therefore, the probability distribution for y is as follows:
P(y = 0) = 1/60,
P(y = 1) = 33/60,
P(y = 2) = 20/60,
P(y = 3) = 12/60.
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If x/y + y/x = -1 , find the value of x^3 - y^3
Answers
Answer:
0
Step-by-step explanation:
Multiplying the first equation by xy, we have ...
x^2 +y^2 = -xy
Factoring the expression of interest, we have ...
x^3 -y^3 = (x -y)(x^2 +xy +y^2)
Substituting for xy using the first expression we found, this is ...
x^3 -y^3 = (x -y)(x^2 -(x^2 +y^2) +y^2) = (x -y)(0) = 0
The value of x^3 -y^3 is 0.
Determine if the following statement is true or false. Construct an argument to defend your response. In equivalent ratios, if the numerator of the first ratio is greater than the denominator of the first ratio, then the numerator of the second ratio is less than the denominator of the second ratio
Answers
This statement is always true. In equivalent ratios, the two fractions should be equivalent.
It is given that, In an equivalent ratio , the numerator of the first ratio is greater than the denominator of the first ratio then the numerator of the second ratio is greater than the denominator of the second ratio.
This Statement is a true statement.
This can be explained in following way
Consider the ratio , 3/2
Here, Numerator > Denominator.
So, The equivalent ratio of the following fraction will be 3/2 = 6/4 = 12/8
In all the fractions you can see that , Numerator > Denominator.
So, the given statement is a true statement in all such cases.
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some of the homework problems will use clocks other than 12 hour ones. the military uses a 24-hour clock. if the time is 1300 hours, what would be the time in in 1800 more hours?
Answers
The time in 1800 more hours from 1300 hours on a 24-hour clock would be 0500 hours.
The time given is in the 24-hour format, which means 1300 hours is equivalent to 1:00 PM.
To find the time in 1800 more hours, we need to add 1800 hours to the current time of 1300 hours.
When we add 1800 to 1300, we get 3100. However, in a 24-hour clock, the time only goes up to 2359 before starting over at 0000. Therefore, we need to subtract 2400 from 3100 to get the correct time.
3100 - 2400 = 700
So, the time in 1800 more hours from 1300 hours on a 24-hour clock would be 0700 hours, which is equivalent to 7:00 AM.
However, the question asks for the time in 24-hour format, so we need to express the answer as 0500 hours, which is equivalent to 5:00 AM.
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2 x -2^2 + 2
please show me how to get to the answer of 6
Answers
Answer:
The answer is -6.
Step-by-step explanation:
\(2\left(-2^2\right)+2\\-2^2\\=-4\\=2\left(-4\right)+2\\2\left(-4\right)\\2\left(-4\right)=-2\cdot \:4=-8\\=-8\\=-8+2\\-8+2\\-8+2=-6\\=-6\)
the length of time patients must wait to see a doctor in a local clinic is uniformly distributed between 25 minutes and 73 minutes. what is the standard deviation of wait time? group of answer choices
Answers
The standard deviation of wait time is 13.8564.
The length of time patients must wait to see a doctor in a local clinic is uniformly distributed between 25 minutes and 73 minutes. We have to find the standard deviation of the wait time.
The square root of the variance of a random variable, sample, statistical population, data collection, or probability distribution is its standard deviation. The standard deviation in statistics is a measure of the degree of variation or dispersion in a set of values. A low standard deviation implies that the values are close to the set's mean, whereas a high standard deviation shows that the values are spread out over a larger range.
S² = (73 - 25)²/12
S² = (48)²/12
S² = 192
S = √192
S = 13.8564
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True or False A vector in space may be described by specifying its magnitude and its direction angles.
Answers
True. A vector in space can be described by specifying its magnitude and its direction angles. The magnitude of a vector represents its length or size, while the direction angles determine the orientation of the vector with respect to a reference axis system.
In three-dimensional space, a vector can be decomposed into its components along the x, y, and z axes. By using trigonometric functions, the direction angles of the vector can be determined. The direction angles are typically measured with respect to the positive x-axis, the positive y-axis, and the positive z-axis.
Once the magnitude and direction angles of a vector are known, the vector can be fully described. This description allows for precise calculations and analysis of vector quantities, such as displacement, velocity, and force, in various physical and mathematical contexts.
It's worth noting that there are alternative ways to describe vectors, such as using Cartesian coordinates or unit vectors. However, specifying the magnitude and direction angles provides a convenient and comprehensive representation of a vector in space.
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Find the value of x *
A) 20
B) 10
C) 15
D) 25
Answers
Answer:
B. 10
Step-by-step explanation:
While doing construction O and P are joined then
OQ = OR
<QOR = 80°
<QPR = <QOR /2 ( INSCRIBED ANGLE IS HALF OF THE CENTRAL ANGLE STANDING ON SAME ARC)
<QPR = 80°/2
<QPR = 40°
SO
< QPO = X
<RPO = 30°
<QPO + <RPO = < QPR
X + 30° = 40°
X = 40° - 30°
X = 10°
hope it helps
How many $25 shirts can I buy with $175?
Answers
Answer:
You can by 7 shirts if you wanted
Answer:
175 ÷ 25
=> 7
Therefore, you can only buy 7 shirts.
Step-by-step explanation:
Hoped this helped
What is 3a+2c=26 solve for a and c
Answers
Simplifying
3a + 2b + c = 26
Solving
3a + 2b + c = 26
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-2b' to each side of the equation.
3a + 2b + -2b + c = 26 + -2b
Combine like terms: 2b + -2b = 0
3a + 0 + c = 26 + -2b
3a + c = 26 + -2b
Add '-1c' to each side of the equation.
3a + c + -1c = 26 + -2b + -1c
Combine like terms: c + -1c = 0
3a + 0 = 26 + -2b + -1c
3a = 26 + -2b + -1c
Divide each side by '3'.
a = 8.666666667 + -0.6666666667b + -0.3333333333c
Simplifying
a = 8.666666667 + -0.6666666667b + -0.3333333333c
Answer:
Hi there!
Your answers are:
A= -2/3c + 8 & 2/3
C= -3/2a + 13
Step-by-step explanation:
Solving for A:
3a+2c = 26
-2c
3a= -2c+26
/3
a= -2/3c + 8 & 2/3
Solving for C:
3a+2c= 26
-3a
2c = -3a+26
/2
c= -3/2a + 13
Hope this helps
A box contains 5 white balls and 6 black balls. (a) A ball is drawn out of the box at random. What is the probability that the ball is white? (b) Two balls are drawn out of the box at random. What is the probability that they both are white? (c) Five balls are drawn out of the box at random. What is the probability that they all are white?
Answers
The probability that the ball drawn out of the box is white is 5/11.
The probability that two balls drawn out of the box are both white is 2/11.
The probability that five balls drawn out of the box are all white is 1/462.
What is the probability?
The probability of drawing a white ball from the box can be found by dividing the number of white balls in the box by the total number of balls in the box:
P(white ball) = number of white balls / total number of balls= 5 / (5 + 6)
= 5/11
The probability of drawing two white balls from the box can be found by multiplying the probability of drawing a white ball on the first draw by the probability of drawing a white ball on the second draw, given that the first ball drawn was white.
P(both white) = P(white on first draw) x P(white on second draw | white on first draw)= 5/11 x 4/10
= 2/11
The probability of drawing five white balls from the box can be found by multiplying the probability of drawing a white ball on the first draw by the probability of drawing a white ball on the second draw, and so on, for five draws in total.
P(all white) = P(white on first draw) x P(white on second draw) x P(white on third draw) x P(white on fourth draw) x P(white on fifth draw)= 5/11 x 4/10 x 3/9 x 2/8 x 1/7
= 1/462
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under a time crunch, you only have time to take a sample of 15 water bottles and measure their contents. the sample had a mean of 20.05 ounces with a sample standard deviation of 0.3 ounces. what would be the 90% confidence interval, when we assumed these measurements are normally distributed? g
Answers
The 90 % confidence interval is ( 19.92 , 20.18 )
What is confidence interval?A confidence interval is defined as the range of values that we observe in our sample and for which we expect to find the value that accurately reflects the population.
What is a z-score?The relationship between a value and the mean of a set of values is expressed numerically by a Z-score. The Z-score is computed using the standard deviations from the mean. A Z-score of zero indicates that the data point's score and the mean score are identical.
The Z-score is calculated using the formula:
z = (x - μ)/σ
where z: standard score
x: observed value
μ: mean of the sample
σ: standard deviation of the sample
Given data ,
Let the number of samples n = 15
Let the mean of the sample be μ = 20.05
Let the standard deviation σ = 0.3
Now , the z score of 90 % confidence interval is z = 1.645
The 90% confidence interval is calculated by the equation
A = μ ± z ( σ / √n )
Substituting the values in the equation , we get
P = μ + z ( σ / √n )
Q = μ - z ( σ / √n )
Now , the value of P is
P = 20.05 + 1.645 ( 0.3/√15 )
P = 20.05 + ( 0.4935 / 3.873 )
P = 20.05 + 0.12742
P = 20.18
Now , the value of Q is
Q = μ - z ( σ / √n )
Q = 20.05 - 1.645 ( 0.3/√15 )
Q = 20.05 - ( 0.4935 / 3.873 )
Q = 20.05 - 0.12742
Q = 19.92
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List the first five prime numbers
Answers
Answer:
2,3,5,7,11
Step-by-step explanation:
see above for the first five prime numbers
Answer:
2, 3, 5, 7, 11
hope this helps
have a good day :)
Step-by-step explanation:
Let $A=(0,1),$ $B=(2,5),$ $C=(5,2),$ and $D=(7,0).$ A figure is created by connecting $A$ to $B,$ $B$ to $C,$ $C$ to $D,$ and $D$ to $A.$ The perimeter of $ABCD$ can be expressed in the form $a\sqrt2+b\sqrt{5}$ with $a$ and $b$ integers. What is the sum of $a$ and $b$?
Answers
Answer:
12
Step-by-step explanation:
thet u go!!!!
A line has a slope of 1 and passes through the point ( 2 , 4 ) Find the equation need help asap
Answers
Use the formula y=Mx+b
According to the general equation for conditional probability, if P(A∩B)=3/7 and P(B)=7/8 , what is P(A|B) ?
Answers
To find the value of P(A|B), we can use the general equation for conditional probability:P(A|B) = P(A∩B) / P(B)Given that P(A∩B) is 3/7 and P(B) is 7/8, we can substitute these values into the equation:P(A|B) = (3/7) / (7/8)To divide fractions.
we multiply the numerator by the reciprocal of the denominator:P(A|B) = (3/7) * (8/7)Multiplying the numerators gives us 24, and multiplying the denominators gives us 49:P(A|B) = 24/49Therefore, the value of P(A|B) is 24/49.This means that the probability of event Aoccurring given that event B has already occurred is 24/49. It represents the proportion of times event A and event B both occur out of the times event B occurs. In other words, if event B has occurred, there is a 24/49 chance that event A will also occur based on the given probabilities.
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What is the measure of the angle in degrees? (Write number in answer only)
7080
60
50
| | +90 +
10 20 30 40
180 170 160 150 140 130 120 110
-
60 50 40 30 20 10
120 130 140 150 160 170 180
0
Answers
Answer:
it is 35 degrees
Step-by-step explanation:
I am sure of it
The measure of the angle indicated is 35 degrees
ProtractorProtractor is a mathematical measuring instrument use to measure angles. Therefore, A protractor is in the shape of a semi circle.
A protractor has degrees marked clockwise from 0° to 180° in the outer scale and anti-clockwise from 0° to 180° in the inner scale.
From the blue lines indicated above the angle was marked at 0 degrees and ended in 35 degrees,.
Therefore, the angle measure of the angle is 35°
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please help :) Which expression is equal to 18−15÷3 ? A. 18 - 5 B. 3 divided by 3 C. 18 - 12
Answers
Answer:
A)
Step-by-step explanation:
18 - 15÷ 3 = 18 - 5
Answer:
A!
Step-by-step explanation:
This one is easy peasy using PEMDAS.
1)18-15dividedby3
2)18-(15divided by 3)
3) 18-5
TA DA
Please help. I don't have much time.
Answers
Answer:
D I think
Step-by-step explanation:
Hope this helps.
Answer:
Option C would be correct!
Step-by-step explanation:
Since,
For Option A 8(2r) would be 16r not 10r
For Option B 6r + 3 would be 6r + 3 not 9r
For Option C 9(3r - 4) would be 27r - 36, and that indeed is the answer
For Option D r + r + r + r + r would be 5r not r⁵
Hope this helps!
Next Londell needs a total of $400 to buy a new bicycle. He has $40 saved. He earns $15 each week delivering newspapers. How many weeks will Londell have to deliver papers to have enough money to buy the bicycle?
Answers
Londell needs to deliver newspapers for 24 weeks to have enough money to buy the bicycle.
Londell currently has $40 saved, and he needs a total of $400 to buy the bicycle. Each week, he earns $15 delivering newspapers.
To calculate the number of weeks Londell needs to work, we can set up an equation:
$40 (current savings) + $15 (weekly earnings) × (number of weeks) = $400 (total cost of the bicycle)
Simplifying the equation:
$40 + $15 = $400
Subtracting $40 from both sides of the equation:
$15 = $400 - $40
$15 = $360
Dividing both sides of the equation by $15:
= $360 / $15
≈ 24
Therefore, Londell will have to deliver newspapers for approximately 24 weeks to have enough money to buy the bicycle.
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a sphere of radius r inches is sliced by a plane that is d inches from the center. in terms of r and d, what is the radius of the circle of intersection?
Answers
The cross-sectional area will be π*(y^2-x^2) as area of a circle with radius r is π*r^2.
What is equations?There are many different ways to define an equation.The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.A linear equation may have more than one variable. A linear equation is an equation in which the highest power of the variable is always 1.This is a second-order equation. In quadratic equations, at least one of the variables should be raised to exponent 2.Hence, The cross-sectional area will be π*(y^2-x^2) as area of a circle with radius r is π*r^2.
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Writing a linear equation. Write an equation in slope intercept form of the line that is segment bisected of both AB and CD
Endpoints of each segment A(-2,2) B (2,4) C(-2,-3) and D (4,-7)
Use midpoint area for AB and CD then use coordinates of both MP to write an equation in slope-intercept form of the line that passed through the midpoints
Answers
9514 1404 393
Answer:
y = -8x +3
Step-by-step explanation:
We don't need the midpoint formula to find the midpoints. We can count grid squares.
B is 2 up from A, and right 4. So, the midpoint of AB is 1 up and right 2 from A, or point (0, 3).
D is down 4 from C, and right 6. So, the midpoint of CD is down 2 and right 3 from C, or point (1, -5).
The vertical difference between the first midpoint and the second is -8. The horizontal difference is +1, so the slope of the line between the midpoints is ...
m = rise/run = -8/1 = -8
The first midpoint is the y-intercept of the line, so the equation of the line is ...
y = -8x +3
_____
If you want to use all of the appropriate formulas, you can. The midpoint formula is ...
M = ((x1, y1) +(x2, y2))/2 = (x1 +x2, y1 +y2)/2
M = (A +B)/2 = ((-2, 2) +(2, 4))/2 = (0, 6)/2 = (0, 3)
N = (C +D)/2 = ((-2, -3) +(4, -7))/2 = (2, -10)/2 = (1, -5)
The slope of line MN is ...
m = (y2 -y1)/(x2 -x1) = (-5 -3)/(1 -0) = -8/1 = -8
The point-slope equation is ...
y -y1 = m(x -x1)
y -3 = -8(x -0)
y = -8x +3 . . . . . . add 3 to put into slope-intercept form
Solve.
-25 - (-5) = 0
PLLLSSS
Answers
Answer:
-20=0
Step-by-step explanation:
Answer: -20=0
Step-by-step explanation:
-25 - (-5) = 0
-25+5=0
-20=0
Solve 3x - x + 2 = 12. (1 point) Оа 7 5
Answers
Answer:
=5
Step-by-step explanation:
have a nice day, please give me brainliest
Answer:
X=5
Step-by-step explanation:
3x-x+2=12
2x+2=12
2x=10
X=5
If f ( 1 ) = 5 f(1)=5 and f ( n ) = − 2 f ( n − 1 ) − 5 f(n)=−2f(n−1)−5 then find the value of f ( 4 ) f(4).
Answers
Answer:
f(4) = -55
Step-by-step explanation:
Given
f(1) = 5
f(n) = -2f(n-1) - 5
If you substitute n with 4 you get:
f(n) = -2f(n-1) - 5
f(4) = -2f(4-1) - 5
= -2f(3) - 5
This shows that you have to calculate the value of f(3) before we can get the value of f(4). To calculate f(3) we have to know f(2) and to calculate f(2) we have to know f(1), which is given.
Let's start from the bottom.
f(1) = 5
f(2) = -2f(n-1) - 5
= -2f(2-1) - 5
= -2f(1) - 5 // substitute f(1) with the value 5 (given)
= -2(5) - 5
= -15
f(3) = -2f(n-1) - 5
= -2f(3-1) - 5
= -2f(2) - 5
= -2(-15) - 5
= 25
Now we can finally calculate f(4)!
f(4) = -2f(n-1) - 5
= -2f(4-1) - 5
= -2f(3) - 5
= -2(25) - 5
= -55
find the indicated side x. (use either the law of sines or the law of cosines, as appropriate. assume ∠b = 24° and ∠c = 96°. round your answer to one decimal place.) x =
Answers
Using either the law of sines or the law of cosines a = (c * sin(24°)) / sin(96°)
To find the indicated side, we can use the Law of Sines. The Law of Sines states that the ratio of the length of a side of a triangle to the sine of its opposite angle is constant.
Let's label the sides of the triangle as follows: side a is opposite to angle A, side b is opposite to angle B (given as 24°), and side c is opposite to angle C (given as 96°).
Using the Law of Sines, we have the following proportion:
a / sin(A) = c / sin(C)
We are given the values of angles B and C, so we can substitute the known values into the equation:
a / sin(24°) = c / sin(96°)
Now we can solve for side a by multiplying both sides by sin(24°):
a = (c * sin(24°)) / sin(96°)
Substituting the known values, we have:
a = (c * sin(24°)) / sin(96°)
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A sphere and a right cylinder have the same radius and volume. The cylinder has a height of 9 inches. Find the radius.
Answers
Explanation
The volume of a sphere with radius r is given by the formula V = (4/3)pir^3.
The volume of a cylinder with radius r and height h is given by the formula V = pir^2h.
Since the sphere and the cylinder have the same radius and volume, we can set these two formulas equal to each other and solve for r:
(4/3)pir^3 = pir^29
4r^3 = 3r^2*9
4r^3 = 27r^2
r^2 = (27/4)r^2
r^2 = 6.75r^2
r = sqrt(6.75) = 2.58 inches
Therefore, the radius of the sphere and the cylinder is 2.58 inches.
pls help mwah I also give brainlest <3
Answers
Bailey and Elena compete in a swim race. Their times are
shown below.
Round each time to the nearest whole second. Then estimate how
many seconds Bailey won the race by.
50-m Freestyle Results
Time
Swimmer
(seconds)
Bailey 35.78
DONE
Elena
39.51
11
Complete
&
ty
Answers
Answer:
3.7
Step-by-step explanation:
39.5 - 35.8 is 3.7
\(39.51=40\\ 35.78=36\\\\ 40-36=16 more seconds more than Bailey.\)
if its any number from 5 and larger, you can round it up to a whole.
The difference between two numbers is40. Four times the smaller is equal to5 more than the larger. What are the numbers?
Answers
Those numbers are x=55 and y= 15.
---------
1) Gathering the data
x-y=40
4y=x+5
2) Rewriting the system, and then solving it
x-y=40 ⇒x=40+y
4y=x+5
Applying substitution in the 2nd equation
4y=(40+y)+5
4y =40+y+5 Subtracting y from both sides
4y-y= 40+y-y +5
3y=40+5
3y= 45 Dividing by 3
y=15
Replacing in the first equation
x-15=40 Adding 15 to both sides
x-15+15=40+15
x=55
3) Those numbers are x=55 and y= 15.