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]
I HAVE TWO QUESTIONS PLEASE PLEAAASEEE HELP!!!
Answer:
The second one is 70 for sure since 80% of 70 is 56.
The first one would just be 17r. You cannot get a number answer since time formula involves three variables and there is only 1 given variable.
Answer:
a)17 min(i am not sure)
b) 80/100 = 56/x
cross multiply
5600 = 80x
x = 5600/80
x = 70
ans 70 miles
The cost of 4 belts and 5 ties is $247. Each time costs 3 times as much as a belt. What us the total cost of 1 belt and 1 tie
Answer:
The total cost of 1 belt and 1 tie is $13 and $39 respectively.
Step-by-step explanation:
Given that,
The cost of 4 belts and 5 ties is $247.
Each tie costs 3 times as much as a belt.
Let the cost of a belt is x and that of a tie is y.
ATQ,
4x + 5y = 247 ...(1)
y = 3x ....(2)
Put the value of y from equation (2) in equation (1)
4x + 5(3x) = 247
4x + 15x = 247
19x = 247
x = 13
Put the value in equation (2)
y = 3x
= 3(13)
= 39
So, the total cost of 1 belt and 1 tie is $13 and $39 respectively.
Emily wants to determine the relationship between the number of people in a household (x) and the last 4 digits of their phone number(y) she selects 100 households in her town randomly and examined the data what is the best estimate of the correlation coefficient between x and y
Answer:
it should be -0.5
Step-by-step explanation:
Write the explicit rule for the arithmetic sequence
-10, -3, 4, 11,...
a
0
=
4
a
i
=
a
i
−
1
+
7
XXXX
possibly with the restriction 1<=i<=4 if this is not intended to be a continuous sequence
Explanation:
This is a simple arithmetic sequence with a difference of
7
between ascending sequence terms.
PLEASE I NEED HELPPPP
Answer:
r=3
Step-by-step explanation:
12 times 3 is 36
18 times 3 is 54
25 times 3 is 75
what you are doing is plugging in X and seeing what X is multiplied to get Y
r•x=y
Answer:
I really don't know
which grade math is this Caz bro
i need some help asap no rocky
Answer:
This is way out of my level sorry. Thanks me
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
math
Can some one help please!!!!!!!
Answer:
yes it's easy
Step-by-step explanation:
y=-2x
it may help you to understand.
PLEASE HELP I AM STRUGGLING
Answer:
y=-2x+2
Step-by-step explanation:
the slope intercept form is y=mx+b
slope - to find the slope from 2 point you do (y2-y1)/(x2-x1) so it would be
(14-2)/(-6-0). which out simplify to -2.
y-intercept - the y-intercept is given in one of the points (0,2).
HELP ME PLEASEEEEEE
Answer:
The measure for angle 1 is 102 degrees. They would be interior angles because they add up to be 180 degrees.
Step-by-step explanation:
Hope this helps!! Please mark me brainliest!!
Rachel can walk 2.5 miles in 40 minutes at this rate how far can she walk in one hour
3.75 miles
Explination~first you would start by finding out how many miles she walks in 1 minute by dividing 2.5 by 402,5 ÷ 40 =
0.0625
Then you would times that by 60, because 60 minutes equals 1 hour0.0625 × 60 =
3.75
So, Rachel can walk 3.75 miles in 1 hour :))------------------------------------------------------------------------Hope I helped!!
1)
An ice machine uses 3 gallons of water every 9 hours. How many gallons of water does it use each hour? How many
hours does it take to use one gallon?
A)
B)
gallon per hour, 1 hour
gallon per hour, 3 hours
3 gallons per hour, 5 hour
gallon per hour,
1 hour
D
Answer:
B
Step-by-step explanation:An ice machine uses 3 gallons of water every 9 hours. How many gallons of water does it use each hour? How many
hours does it take to use one gallon?
A)
b)
gallon per hour, 1 hour
gallon per hour, 3 hours
3 gallons per hour, 5 hour
gallon per hour,
1 hour
D
Solve each equation. Check your solution.
a - 5 = -12
Answer:
A = -7
Step-by-step explanation:
Isolate the variable by adding 5 to each side. This becomes A = -7. To check your work plug -7 in for A.
-7 - 5 = -12
-12 = -12
This is true so -7 is the correct answer.
What point is on both lines y = 1/2x + 3 and y = x +1?
Answer:
(4,5)
Step-by-step explanation:
Sam earns $54 275 in a year.
He pays no income tax on the first $8200.
He pays 18% income tax on everything he earns over $8200.
a Work out how much income tax he pays.
b Work out what percentage of his income he pays in tax.
If the income tax rate is increased to 21%, how much more tax will Sam pay?
Answer:
he would pay $8,293.5 in income tax.
b:
Step-by-step explanation: he pays 15.280515891294% of his pay in tax. if the income rate was increased to 21% then he would pay 9,675.75 in taxes. Which is 1,382.25 more than 18% tax.
Find the first four nonzero terms in a power series expansion about x0 for a general solution to the given differential equation with the given value for x0.
y'-3xy=0; x0=-2
Hi! Can someone please help me with these two questions??!! Thank you so much!
Answer:
it is b, 42 units² I'm sure
Determine if the graph shows two quantities that vary directly. If possible, determine the constant of proportionality using the formula K = y/x
Answer:
Option C is correct option.
Step-by-step explanation:
We need to find k constant of proportionality
In the graph below let us take the values of x and y
x=150 , y=50
x=300, y=100
x=450, y=150
Now finding k using the formula: [tex]k=\frac{y}{x}[/tex]
Putting values of x and y to find k
For x=150 , y=50 k = 50/150, k =1/3
For x=300, y=100 , k=100/300 , k=1/3
For x=450, y=150, k= 150/450 , k=1/3
Since for values of x and y, k = 1/3 is constant so, the graph shows two quantities that vary directly.
So, Option C is correct option.
Sandra's Bike Club had 360 members last month. Each member pays a $12 membership fee per month.
This month, 27 new members joined and 34 members left the club. How much money will Sandra collect
this month in membership fees?
Answer:
$4,236
Step-by-step explanation:
34-27=7
360-7=353
353(12)=4,236
Can anyone help me out? That would be greatly appreciated!
B. SAS
Pretty much the way I look at it, there is one angle, and 2 sides beside it. Easiest way for me to explain.
Answer:
im not really sure but i believe the answer is B.SAS.
i also know It Not C.HS and D. non of the above.
What is the y-intercept of the line?
Answer:
y= -1
The Y-intercept is the point at which the line segment intersects with the Y-Axis.
1
Solution:The y-intercept, b, is the point where the graph intersects the y-axis.It's usually written as:(0, b).We already know what b stands for. It stands for the y-intercept.Since the graph intersects the y-axis at (0, 1) the y-intercept is (0, 1) or 1.Hope it helps.
Do comment if you have any query.
Sally used 5 gallons of ginger ale, 1 gallon of orange juice, and 2 gallons of pineapple juice, to make a punch for her family holiday party. How many
quarts of punch will Sally have for her party?
O 32 quarts
O 52 quarts
O 36 quarts
12 quarts
Complete the pattern
_,_,_,0, 2, 4,6
A)-1, -2, -3
B) -2,-4, -6
C) -6, -4,-2
Answer:
C
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
YES
If a car travels 180 miles in 4 hours, how many miles would it go in 6?
Answer:
270
Step-by-step explanation:
First, to find how far the car will go in one hour, you do 180 divided by 4. We already know that the car drives at a constant rate. If you do 180 divided by 4, you get 45. Then you multiply 45 by the amount of hours (6) to get 270
A science fair poster is a rectangle 4 feet long and 3 feet wide. What is the area of the poster in square inches?
Be sure to include the correct unit in your answer.
in
in?
in?
G
Х
?
5 - 3 1/4
This is Fractions
what is the lenght of AB
Answer:
Uh I need more information to answer that.
Step-by-step explanation:
u only posted this: what is the lenght of AB. That isn't even how u spell length,
AB could be anything.
Please help if u know
Answer:
(-3,0), (1,0),(-5,0)
Step-by-step explanation:
Find the measures of the exterior angles.
Answer:
The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles. (Non-adjacent interior angles may also be referred to as remote interior angles.) FACTS: An exterior ∠ is equal to the addition of the two Δ angles not right next to it.
1) A person can pay $16 for a membership to the science museum and then go to the
museum for just $3 per visit. What is the maximum number of visits a member of the
science museum can make for a total cost of $37?
visits
Please hurry
7 visits
Step-by-step explanation:
All I did was minus 16 from 37 to get 21, then divided that by 3.
Please help, really want to get this done.
Answer:
1. C
2. B
3. A
4. D
is the correct answer
Answer:
1. 1/3 --> all sides in an equilateral triangle are equal, so the constant of proportionality would be 1/3
2. 10/4*9 = 22.5
3. 8/2 = 4
4. c/g = m
