Answer:
r = 4/5
Step-by-step explanation:
Formula
Sum of an infinite geometric series = a / (1 - r)
Givens
Sum = 5*a
a = a
r = ?
Solution
5a = a/(1 - r) Divide both sides by a
5a/a = a / (a * (1 - r) The a's on the right cancel
5 = 1 / (1 - r) Multiply both sides by 1 - r
5*(1 - r) = 1*(1 - r)/(1 - r) The 1 - r s on the right cancel
5*(1 - r) = 1 Remove the brackets.
5 - 5r = 1 Subtract 5 from both sides
5-5 - 5r = 1 - 5 Combine
-5r = - 4 Divide by - 5
r = 4/5
find x
K (7x + 217
47
M
Answer:
x=16
Step-by-step explanation:
The opposite angles will always be supplementary
<K + < M = 180
47+ 7x+21 = 180
Combine like terms
7x+68 = 180
Subtract 68
7x = 180-68
7x = 112
Divide by 7
7x/7 = 116/7
x =16
40.
Two similar squares have matching sides whose lengths are in the ratio 7:5 Find the ratio of their areas.
Answer:
49:25
Step-by-step explanation:
When you have a side length ratio given, the area ratio will be the side length ratio squared.
This can be thought of quite easily, say you have 1 square with a side length of 7 and another square with a sidelength 5.
Of course the squares have a side length ratio of 7:5
The area of the first square is 7*7 = 49
The area of the second square is 5*5 = 25
Then clearly the ratio of the areas is 49:25
** 20 POINTS!!!**
Identify the vertex of the function graphed below (-4,1) (1,0) (-3,0) (-1,-4)
Answer: (-1,-4)
Step-by-step explanation:
move one unit left, and 4 units down. The vertex is the lowest or highest point on the graph (in this case the lowest)
Find the surface area of the prism. Picture attached.
Answer:
18.2m^2
Step-by-step explanation:
2 x 1 ÷ 2 = 1 both sides are set to 1
base 3 x 1 = 3
2.2 x 3 = 6.6
add up all sides 6.6 + 6.6 + 3 + 1 + 1
help i need a answer fast
Answer: It is Equation 1 and Equation 3
Step-by-step explanation:
describe how you would find the missing numbers in the equation below. What is the missing numerator and denominator?
the fractions : 3/? x ?/4 =9/20
Please help this is the last question on my exam and I'll help out a ton!
Answer:
3/5 and 3/4 im pretty sure
Step-by-step explanation:
you have to find the multiple that would make it equal the answer
The distance between (12,5)and(-7,5)
Step-by-step explanation:
361 is the answer.
hope it helps
If A is a prime factor of 36, and B is a prime factor of 15, what is the greatest possible difference between A and B?
Answer:
3
Step-by-step explanation:
Prime factorization
36 = 3 * 3 *2 * 2
15 = 3 * 5 The biggest difference is 5 -2 = 3
Which point on the scatter plot is an outlier?
A graph shows scale on x axis from 0 to 14 at increments of 2 and a scale on y axis from 0 to 70 at increments of 10. Dots are made at ordered pairs 0, 0 and 1.8, 5 and 2.5, 8 and 2.9, 11 and 3.7, 15 and 4.1, 13 and 4.2, 21 and 5.5, 18 and 5.4, 29 and 6.1, 25 and 6, 30 and 7, 31 and 7.8, 39 and 7.3, 42 and 8.2, 45 and 9, 50. The point 9, 50 is labeled as P, the point 8, 30 is labeled as Q, the point 10, 10 is labeled as R, and the point 0, 0 is labeled as S.
Point P
Point Q
Point R
Point S
Answer:
The point 9,50
Step-by-step explanation:
All the other ones are within a reasonable distance of each other.
Answer: The correct answer would be 9,50 or Option A (Point P)
Step-by-step explanation:
what is 5 times 3 divided by 10 times 2 minus 3
Answer:
The answer is 0
Step-by-step explanation:
5x3 is 15
Therefore it is concluded as:
15÷10x2-3 is 0
What is the solution to 3+4e ^x+1 =11
Answer:
The solution would be x=1n(7/4)
Step-by-step explanation:
The decimal form would be 0.55961578
Answer:
= In (7/4)
Step-by-step explanation:
3+4+1=11
4+4=11
4+4=11
4+4=11
4+4=11
4+4−4=11−4
4=7
44=7
when you multiply a negative by a positive what is the outcome?
it would be negative because negetive overcomes positive.
Answer:
The outcome is a negative because when doing multiplication of negative times positive your answer will always be a negative. For an example, -4*9= -36 so it would be negative.
5,039 times 8=
I rlly need help
easy and also crown if right.
Answer:
- 8n + 9Step-by-step explanation:
Given
A = -3n + 2B = 5n - 7Find A - B by substitution
A - B = - 3n + 2 - (5n - 7) = - 3n + 2 - 5n + 7 = - 8n + 9The price of petrol goes up 10%, by how much percent must a motorist reduce the consumption of petrol so that the expenditure on it remains unchanged ?
[tex]\large{\sf \boxed{ \sf 9.09 \ \%}}[/tex]
Explanation:
Let the price be p,
When the price is increased by 10%,
Increased price = (100% + 10%) × p = 1.1p
So reduction percentage:
[tex]\rightarrow \sf \dfrac{1.1p - p}{1.1p} \ x \ 100[/tex]
[tex]\rightarrow \sf \dfrac{0.1p}{1.1p} \ x \ 100[/tex]
[tex]\rightarrow \sf 9.090909091 \% \quad \approx \quad 9.09 \% \quad (rounded \ to \ nearest \ hundredth)[/tex]
Integrate 4√x^5 directly
Step-by-step explanation:
firstly we take the constant out of the integral making it
4 × the integral of x^5/2
the integral of x^5/2 is equal to 2/7(x^7/2)
final answer: (8/7) × (x^7/2)
make sure to comment if you have any doubt.
9x^8 y^2 - 6x^3 y^4 / 3xy
simplified
Answer:
None of the choices are correct
Stefofp-by-step explanation:
Simplify the following:
(-6 x^3 y^4 + 9 x^8 y^2)/(3 x y)
Factor 3 x^3 y^2 out of -6 x^3 y^4 + 9 x^8 y^2:
(3 x^3 y^2 (-2 y^2 + 3 x^5))/(3 x y)
(3 x^3 y^2 (-2 y^2 + 3 x^5))/(3 x y) = 3/3×(x^3 y^2 (-2 y^2 + 3 x^5))/(x y) = (x^3 y^2 (-2 y^2 + 3 x^5))/(x y):
(x^3 y^2 (-2 y^2 + 3 x^5))/(x y)
Combine powers. (x^3 y^2 (-2 y^2 + 3 x^5))/(x y) = x^(3 - 1) y^(2 - 1) (-2 y^2 + 3 x^5):
x^(3 - 1) y^(2 - 1) (-2 y^2 + 3 x^5)
3 - 1 = 2:
x^2 y^(2 - 1) (-2 y^2 + 3 x^5)
2 - 1 = 1:
Answer: x^2 y (-2 y^2 + 3 x^5)
A storage tank is in the shape of a cylinder with a hemisphere on the top. The highest point on the inside of the storage tank is 13 meters above the floor of the storage tank, and the diameter inside the cylinder is 8 meters. Determine and state, to the nearest cubic meter, the total volume inside the storage tank.
The volume of the tank of water is 653.12 cubic meters.
How to get the volume?
For a cylinder of height H and diameter D, the total volume is given by:
[tex]V = 3.14*(D/2)^2*H[/tex]
In this case, we know that:
D = 8m
H = 13m
Replacing that in the above equation:
[tex]V = 3.14*(8m/2)^2*13m = 653.12 m^3[/tex]
So the volume of the tank of water is 653.12 cubic meters.
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NO LINKS!!! Please help me with this graph. Part 4a
Answer:
[tex]\large{\boxed{\sf g(x) = \dfrac{1}{2} |x - 4| +7}}[/tex]
Explanation:
Absolute value of a graph formula:
y = a |x -h| + kIdentify the vertex : (h, k) = (4, 7)
Take two points: (4, 7), (6, 8)
[tex]\sf Find \ slope \ (a) : \sf \ \dfrac{y_2 - y_1}{x_2- x_1} \ = \ \dfrac{8-7}{6-4} \ = \dfrac{1}{2}[/tex]
Putting them together : [tex]\bf g(x) = \dfrac{1}{2} |x - 4| +7[/tex]
Answer:
[tex]g(x)=\dfrac{1}{2}|x-4|+7[/tex]
Step-by-step explanation:
Translations
For [tex]a > 0[/tex]
[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]
[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]
[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis by a factor of}\:a[/tex]
-----------------------------------------------------------------------------------------
Parent function: [tex]f(x)=|x|[/tex]
(with vertex at the origin)
From inspection of the graph, the vertex of the transformed function is at (4, 7). Therefore, there has been a translation of:
4 units right7 units up[tex]\implies f(x-4)+7=|x-4|+7[/tex]
From inspection of the graph, we can see that it has been stretched parallel to the y-axis:
[tex]\implies a\:f(x-4)+7=a|x-4|+7[/tex]
The line goes through point (0, 9)
Substituting this point into the above equation to find [tex]a[/tex]:
[tex]\implies a|0-4|+7=9[/tex]
[tex]\implies 4a=2[/tex]
[tex]\implies a= \dfrac{1}{2}[/tex]
Therefore,
[tex]\implies g(x)=\dfrac{1}{2}|x-4|+7[/tex]
solve this system using the Elimination method
-4x - 2y =-18 x + 3y = 8
Answer:
Elimination:
-4x - 2y = -18 -4x - 2y = -18
x + 3y = 8 | ×4 ------> 4x + 12y = 32 +
10y = 14
y = 1,4
x + 3y = 8
x + 3(1,4) = 8
x + 4,2 = 8
x = 3,8
Four athletes from the Republic of Korea competed in a team wheelchair race at
the Paralympic Games. The team finished the race in a total of 190.729 seconds.
First team member: 46.685 seconds
Second team member: 48.869 seconds
Third team member: 49.33 seconds
How it many seconds did it take the fourth team member to complete his part of
the race?
The number of seconds taken by the fourth team to complete his part of the race is 45.116 seconds.
What is subtraction?It simply means to deduct something from the object or number of group, place, etc. Subtraction means to take away from the group or a number of objects.
Four athletes from the Republic of Korea competed in a team wheelchair race at the Paralympic Games.
The team finished the race in a total of 190.729 seconds.
First team member: 46.685 seconds
Second team member: 48.869 seconds
Third team member: 49.33 seconds
Then the number of the seconds is taken by the fourth team will be
Let x be the number of the second taken by the fourth team.
Then we have
x + 46.685 + 48.869 + 49.33 = 190.729
x + 144.884 = 190.729
x = 45.116
More about the subtraction link is given below.
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Answer:
x= 45.845
Step-by-step explanation:
190.729-144.884
Given →n = (1, 2) and →m = (6, 12) , Find the magnitude of 1/2 →m - 2→n
A.√3
B.√5
C.3
D.5
Answer:
b
Step-by-step explanation:
................................
If you invest $1600 at 5% for 3 years, how much simple interest is earned? ***Look at your formula chart for the interest formula!!***
FOR 25 POINTS
Answer:
$240
Step-by-step explanation:
[tex]1600 \times .05 \times 3 = 240[/tex]
The marked price of a pair of pants is $100. If VAT of 15% is payable, then the price paid by the customer is
Answer:
$115
Step-by-step explanation:
VAT = 15% of marked price
= 0.15 * 100
= $ 15
Price paid by the customer = 100 + 15
= $ 115
Can any one please help me under this? I need to know which option indicates that 3 goes after 5and between 7,12and 5 then how that goes before 12 and between7 and 3. I’ve been reading this forever and I don’t understand her wording. Help please! Ayuda porfavor!
"3 va después de 5 y entre 7 y 12" = "3 goes after 5, and between 7 and 12"
This eliminates A and D (3 is not between 7 and 12 in either choice).
"5 va antes de 12 y entre 7 y 3" = "5 goes after 12, and between 7 and 3"
This eliminates C (5 is not between 7 and 3).
So the correct sequence is B.
Given
m
∥
n
m∥n, find the value of x and y.
If m is parallel to n then value of x and y is X = 41° and Y = 41°.
What are Angles?An angle is formed when two straight lines or rays meet at a common endpoint.
Given that line m and n are parallel lines.
Parallel lines are those straight lines that are always the same distance apart from each other.
As y is vertically opposite to the angle 41° . So the value of y is also 41° and angle x is equal to angle y because they are alternate angles. So the value of y is also 41°.
Therefore X = 41° and Y = 41°.
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the north american plate and the pacific plate have been sliding horizontally past each other along the san andreas fault line for about 10 million years. the plate move 5 cm/y. How far have the plates traveled assuming a constant rate during this time
Answer:
50 million
Step-by-step explanation:
since they're moving at a constant rate, all you need to do is multiply 5 by 10 million
The sum of three consecutive even integers is 126. Find the integers.
Step-by-step explanation:
x+ x+1+ x+2=126
3x+3=126
3x=126-3
3x=123
divide each side by 3
x=41
x+1=42
x+2=43
check your answer by adding the three integers:
41+42+43=126
Answer:
40, 42 and 44Step-by-step explanation:
An Integer is even, if it's divisible by two. it's also a multiple of two.let first integer= Y note : Y is an even number.
second integer= (Y+2)
third integer = (Y+4)
from the question,
Y+Y+2+Y+4= 126
3Y+6 = 126
3Y = 126-6
3Y = 120
dividingbothsides by (3)
3Y/3 = 120/3
Y= 40
therefore, the even integers are:
40
(Y+2)= 40+2= 42
(Y+4) =40+4= 44
check!!!adding the three numbers40+42+44= 126Arătati ca numărul ab1 + a1b + 1ab
Answer:
a plus b equals 9923
Step-by-step explanation:
A job cost the customer $28,244 66. If 41% of this job was labor, what was the actual labor cost to the customer?
Answer:
$11,580.31
Step-by-step explanation:
turn 41% into a decimal:
0.41
$28,244.66 * 0.41
11,580.31
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