Answer:
Sum of the first five terms of the geometric sequence in which a1=5 and r=1/5 is [tex]\mathbf{S_n=\frac{781}{125} }[/tex]
Step-by-step explanation:
We need to find sum of the first five terms of the geometric sequence in which a1=5 and r=1/5
The formula used to find sum of the geometric sequence is: [tex]S_n=\frac{a(r^n-1)}{r-1}[/tex]
Where a is the first term, r is the common ratio and n is the number of terms
Now finding sum of the first five terms of the geometric sequence
We have a=5, r=1/5 and n=5
Putting values in the formula:
[tex]S_n=\frac{a(r^n-1)}{r-1}\\S_n=\frac{5((\frac{1}{5}) ^5-1)}{\frac{1}{5}-1}\\S_n=\frac{5(\frac{1}{3125}-1)}{\frac{1-5}{5}}\\S_n=\frac{5(\frac{1-3125}{3125})}{\frac{-4}{5}}\\S_n=\frac{5(\frac{-3124}{3125})}{\frac{-4}{5}}\\S_n=5(\frac{-3124}{3125})}\times{\frac{-5}{4}}\\S_n=\frac{781}{125}[/tex]
So, sum of the first five terms of the geometric sequence in which a1=5 and r=1/5 is [tex]\mathbf{S_n=\frac{781}{125} }[/tex]
What are the coordinates of the point on the directed line segment from (–9, -7) to
(-2,7) that partitions the segment into a ratio of 3 to 4?
Answer:
Step-by-step explanation:
Saving the long, drawn out derivation of the formulas to find the x and y coordinates of the directed point, suffice it to say that it is:
x coordinate: [tex]\frac{bx_1+ax_2}{a+b}[/tex] and
y coordinate: [tex]\frac{by_1+ay_2}{a+b}[/tex]
where x1, x2, y1, and y2 are the coordinates from the given points and a and b are the numbers in the ratio, namely a = 3 and b = 4. Filling in accordingly:
the x coordinate of the directed point is
[tex]\frac{4(-9)+3(-2)}{7}[/tex] which simplifies down to -6, and
the y coordinate of the directed point is
[tex]\frac{4(-7)+3(7)}{7}[/tex] which simplifies down to -1.
The coordinate of the point is (-6, -1). Write that down so you don't forget it.
The coordinates of the point that partitions the line segment from (-9,-7) to (-2,7) into a ratio of 3 to 4 are (-5, 1).
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
To find the point that partitions the line segment from (-9,-7) to (-2,7) into a ratio of 3 to 4, we need to use the formula.
[tex]P = ( (4x_2 + 3x_1)/(4+3), (4y_2 + 3y_1)/(4 + 3) )[/tex]
where P is the point we're looking for, (x1, y1) and (x2, y2) are the coordinates of the two endpoints of the segment, and the numbers 4 and 3 come from the ratio 3 to 4.
Plugging in the values.
P = ( (4 x (-2) + 3 x (-9))/(4 + 3), (47 + 3(-7))/(4 + 3) )
Simplifying.
P = (-5, 1)
Therefore,
The coordinates of the point that partitions the line segment from (-9,-7) to (-2,7) into a ratio of 3 to 4 are (-5, 1).
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Please please please help me In what year did the car value for below $9000
A.in year 6
B. In year 8
C. In year 2
D. In year 4
Answer:
D
Step-by-step explanation:
3m + 3
m= -7
A: -18
B: 24
c: -12
Answer:
Step-by-step explanation:ambient temperatures. This tape withstands a temperature range of 32 to 356 ° F (0 to 180 °C). ... 3M™ PTFE Film Electrical Tape 62, 3/8 in x 36 yd, 24 Rolls/ Case. Part Number 62 ... 3M 60 PTFE Film Tape B. 1 of 1. 3M 60 PTFE ... 32.9 m. Overall Width (Imperial). 0.375 in. Overall Width (Metric). 9.53 mm. Product Color.
check if 7 is a solution of the equation 4 ( Z - 3 ) = 16. step by step plz guys.
Answer:
YES
Step-by-step explanation:
4(Z-3)=16
4Z-12=16
+12 +12
4Z=28
Z=7
Answer:7
Step-by-step explanation:
4(z-3)=16
4z-12=16
4z=28
4z/4=28/4
z =7
There are 17 students on the bus and 22 adults. What is the ratio of students to total?
Answer:
17:39
Step-by-step explanation:
17+22= 39
total students 17
so 17:39
hope it helps!
Answer:
The ratio is 17:39
Step-by-step explanation:
So 17 boys=17 at beginning
To find how many in total, do 17+22=39!
So 17:39
Hope this helps! And mark This Brainliest please!!
Rick’s scores in his last 15 rounds of golf are 72, 80, 75, 84, 78, 72, 75, 68, 81, 74, 79, 70, 77, 83, and 72. If he scores an 80 on each of the next three rounds, which measure of center would increase more, the mean or median?
Answer:
The median increased more
Step-by-step explanation:
Given that:
Scores on last 15 :
72, 80, 75, 84, 78, 72, 75, 68, 81, 74, 79, 70, 77, 83, 72
Obtaining the range, mean, median and mode from the data above :
Rearranged data:
68, 70, 72, 72, 72, 74, 75, 75, 77, 78, 79, 80, 81, 83, 84
Range = 84 - 64 = 16
Mode = 72 - frequency of 3)
Mean = ΣX / n where n = sample size
Mean = 1140 / 15 = 76
Median = 0.5(n+1)th term = 0.5(16)th term =
8th term = 75
A score of 80 on each of next 3 rounds :
72, 80, 75, 84, 78, 72, 75, 68, 81, 74, 79, 70, 77, 83, 72, 80, 80, 80
Rearranged data:
68, 70, 72, 72, 72, 74, 75, 75, 77, 78, 79, 80, 80, 80, 80, 81, 83, 84
Range = 84 - 68 = 16
Mean = ΣX / n where n = sample size
Mean = 1380 / 18 = 76.67
Median =0.5(n+1)th term = 0.5(19)th term =
9.5 = (9th term +. 10th term) / 2 = (77 +78) / 2 = 77.5
In the least-squares regression line, the desired sum of the errors (residuals) should be:_____.
a) maximized.
b) 1.
c) positive.
d) negative.
e) zero.
In the least-squares regression line, the desired sum of the errors (residuals) should be: zero
What is Number system?A number system is defined as a system of writing to express numbers.
The key word here is "desired". We wish to make the errors as small as possible. The smallest any individual error can get is 0. Adding the entire collection of zeros will sum in a total of zero.
An error of zero means we hit the mark exactly. The unfortunate reality is that error is going to happen, so we'll have some positive error values with any regression line (or curve). It's only when all points are on the same line is when we have zero error and perfect interpolation rather than regression.
Again, the question is asking about desired error and the ultimate goal is to make the error zero. The next best thing is to minimize it as small as possible
Hence in the least-squares regression line, the desired sum of the errors (residuals) should be: zero
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6/ PLEASE HELP ME ASAP.
Answer:
40
Step-by-step explanation:
In the minute number 2, you can see the intersection point in 40 packs.
Best regards
what is the coefficient of 4x+9
What is the slope of the line that passes through the points E(5, 1) and F(2-7)?
12 Points)
Answer:
8/3
Step-by-step explanation:
the slope is 8/3 i am sure
What is the domain of the function graphed?
A) {x: x greater or equal to 4}
B) {x: x less than or equal to 2}
C) {x: x greater than or equal to 2}
D) All Real Numbers
Answer:
I think is c
Step-by-step explanation:
Help I need the answer as soon as possible
Answer:
D.
Step-by-step explanation:
First, you multiply 18 1/4 with 10 1/2 and you get 191 5/8. Then you multiply 191 5/8 with 12 3/4 and you get D. 2443 7/32
Solve for EG. A) 18 B) 12 9 D) 6
Answer:
a
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
BRAINLIEST PLEASE
Solve for x.
-x/3= 2
A.x = -6
B.x = 6
C.x = -1
Answer:
I thinK b dont blame me if wrong
Step-by-step explanation:
Answer:
-6
Step-by-step explanation:
The answer is negative 6.
Help me fast pleasee
Answer:
y=3x
Step-by-step explanation:
hope it helped
can anyone help me find the answers please !!
Richard is selling bundles of wood. The total weight of the wood he is selling is 6,165 pounds, and there are 90 bundles. If each bundle weighs the same, how much does one bundle of wood weigh?
Answer:
each bundle weighs 68.5 lb
Step-by-step explanation:
6165/ 90
Can someone please help with writing this out as equation?
The student council has decided to sell t-shirts with a school logo to promote school spirit. Amanda investigated 1 company that would charge $75 to make the printing screen for the shirts, and then $5.50 per shirt. Adam checked out a 2nd company that would charge a straight $7 per shirt. Which company's option would respresent a proprtional relationship? You should support your answer with an equation, a table of values, or a graph.
A 6.50% coupon bond with 18 years left to maturity is offered for sale at $1,035.25. What yield to maturity [interest rate] is the bond offering? Assume interest payments are paid semi-annually, and solve using semi-annual compounding. Par value is $1000.
Answer:
The yield to maturity is 6.3974%
Step-by-step explanation:
The computation of the yield to maturity is as follows
Given that
NPER = 18 × 2 = 36
PMT = $1,035.25 × 6.50% ÷ 2 = $33.65
PV = $1,035.25
FV = $1,000
The formula is shown below:
=RATE(NPER;PMT;-PV;FV;TYPE)
The present value comes in negative
AFter applying the above formula, the yield to maturity is
= 3.1987% × 2
= 6.3974%
Hence, the yield to maturity is 6.3974%
Hellllp please asap
Enter the value for x
that makes the equation 16=−4(x−1)+4
true.
Answer:
-2
Step-by-step explanation:
16=-4x+4+4
16=-4x+8
4x=8-16
4x=-8
x=-2
Tthe required value of x is -2 for which the given expression is true.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Given expression,
16 = -4(x - 1) + 4
16 - 4 = -4(x - 1)
x - 1 = 12 / -4
x = -3 + 1
x = -2
Thus, the required value of x is -2 for which the given expression is true.
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In a survey of 300 adults, 45 had traveled outside the United States before. What percentage of adults had traveled outside the U.S. before?
Explain GOOD to get brainly
Answer:
15%
Step-by-step explanation:
45/300*100=15
hope it helps
For several hours you watch a group playing dice on the street and you notice that the owner of the dice often wins. Do
you conclude that he is just very lucky? In two ôr more complete sentences, explain why or why not you conclude that
the owner of the dice is lucky.
He isn't lucky nor unlucky
Step-by-step explanation:
If The owner Wins every round/time he has to be skilled if he's winning for several hours
Can some one help me please god bless you
25 points
PLS HELP STATTTTTTTTTTTTTTTTTTTTT
Miss Hampton has 88 gold stickers. She wants to give the same number of stickers to each of her 9 students. If she gives away as many stickers as she can, how many stickers will be left over? [REMAINDER]
Answer:
She will have 7 stickers left over
Answer:
She will have 7 gold-painted stickers left.
If she gives each of them 9, then she'll be giving away 81.
Step-by-step explanation:
3x + y = 15 What is the solution of this system of equations? (5x+2y=-4
Answer:
x=34 y=-87 (34,-87)
Step-by-step explanation:
3x+y=15 rewrite to solve for y -----> y=15-3x
5x+2y=-4
Plug y=15-3x into 5x+2y=-4
So, 5x+2 (15-3x)=-4
Distribute: 5x+30-6x=-4
Combine like terms: 30-x=-4
Solve for x -x=-34
Solve for x x=34
Then, to solve for y, plug "x" into 3x+y=15
So, 3(34)+y=15
Distribute: 102+y=15
Solve for y y=-87
-8(6x - 7y) - (24x - 3y)
Answer:
-72x + 10y
Step-by-step explanation:
First apply the Distributive Property of Multiplication:
-8(6x - 7y) becomes -48x + 7y and -(24x - 3y) becomes -24x + 3y.
Combining like terms, we get -72x + 10y
Answer:
-21x+53y
Step-by-step explanation:
learned it
Diana got 0.85 of the questions correct on her assessment. What fraction
represents the amount of questions she got incorrect?
Answer:
85100
Step-by-step explanation:
the decimal 0.85 can be converted to the fraction 85100 , by defintion of a decmial.
I don’t know how to do this lol someone help
Description:
1:
Subtract the numbers 14-2 =12
Add the numbers 3+3 =6
Drivide the numbers 12/6 =2
Answer:
1: =2
Hope this helps
guys please help me with this serous question
Answer:
Step-by-step explanation:
$1 times 5 equals $5
$30-$5= $25
$25 divide by each 5 friends equals $5. So your answer is $5