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]
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 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).
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
5 - 3 1/4
This is Fractions
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.
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:
What point is on both lines y = 1/2x + 3 and y = x +1?
Answer:
(4,5)
Step-by-step explanation:
Please help if u know
Answer:
(-3,0), (1,0),(-5,0)
Step-by-step explanation:
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
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!!
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!!
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.
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.
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.
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
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.
Hi! Can someone please help me with these two questions??!! Thank you so much!
Answer:
it is b, 42 units² I'm sure
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
?
Can some one help please!!!!!!!
Answer:
yes it's easy
Step-by-step explanation:
y=-2x
it may help you to understand.
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.
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
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
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.
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
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.
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.
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
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
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