9514 1404 393
Answer:
[tex]\displaystyle S_n=\sum_{k=1}^n{\frac{3^k}{3k-2}}[/tex]
Step-by-step explanation:
The sequence terms appear to have numerators that are powers of 3, and denominators that are a linear (arithmetic) sequence with a first term of 1 and a common difference of 3.
numerator: 3^x
denominator: 1 +3(n -1) = 3n-2
Then the sum of n terms of the sequence can be described by ...
[tex]\displaystyle \boxed{S_n=\sum_{k=1}^n{\frac{3^k}{3k-2}}}[/tex]
The area of a triangular-shaped rug is 21 square yards and the height is 3 yards. Find the base. a. 7 yd c. 16 yd b. 10 yd d. 14 yd
James is playing his favorite game at the arcade. After playing the game 3 times, he has 8 tokens remaining. He initially had 20 tokens, and the game costs the same number of tokens each time.
Can someone solve this
Answer:
So the side with the red square is 90 degrees. Anytime you see that that's what it will be. The inside of the triangle should equal 180 so 90 + 60 is 150. 180-150 = 30
Two side lengths are 90 and 30.
Step-by-step explanation:
If the x and y are pythagorean theorem then a2+b2=c2
If not then y= 120
and x= 150
the outside should equal 360
Hello, can somebody explain to me if my answer is correct or not. Thank you and may God bless you. Have a nice day, bye!
NO LINKS OR ATTACHMENTS PLEASE. Maria had picked 6 bags of oranges. How many glasses of orange juice could she make if each glass took one-quarter of a bag?
Answer:
24
Step-by-step explanation:
You just do 6 / 1/4 = 24
I am so lost. I need help.
Answer:
136in^2
Step-by-step explanation:
Andreas patio is composed of a rectangle and a semi circle as shown in the figure below which is the best estimate of the area of Andreas patio in square meters
Answer:
38.13m²
Step-by-step explanation:
We find the area of ;
Rectangule and semicircle
Area of rectangle :
Length * width
Length = 8m ; width = 3m
Area = 8 * 3 = 24m²
Area of semicircle = 1/2 πr²
Radius, r = 3m
A = 1/2 * 3.14 * 3²
A = 1/2 * 3.14 * 9
A = 14.13 m²
Area of patio :
(24 + 14.13)m²
= 38.13m²
hello, i need helpw ith my math question
The three ways to purchase a vehicle include: (1) On lease (2) On hire purchased and (3) On cash basis
How to purchase a vehicle?A vehicle can be purchased on the following ways:
Lease: This involves granting the user access on the property over a period of time before he could make paymentHire purchase: In this method, the buyer deposits first initial money while he agrees with the seller to make the payment of the balance on installment basis Cash: In this method the buyer pays cash at prompt or on the point of purchaseAdvantages include:
It places the buyer on good life without cashHe enjoys the luxurious lifeDisadvantages:
He can run away with the vehicleThe seller looses in cash of accident taking the life of the buyerAdditional expenses include
cost of maintenance repairsfuelingLearn more about leasing a vehicle on https://brainly.com/question/29216664
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Will mark brainliest!!
Consider the circumscribed angle. Determine the value of x.
1)
x = 12
2)
x = 29
3)
x = 4.75
4)
x = 17
Answer:
x = 12
Step-by-step explanation:
i. 29 = 2x + 5 [The length of two tangents to a circle at the point of contact from the same external point are equal]
ii. 29 - 5 = 2x
iii. 24 = 2x
iv. x = 24/2
v. x = 12
(didnt mean to select an answer) can someone help me with this, and if possible please explain it I don't know how to do direct variation and all that
9514 1404 393
Answer:
(b) y = -5x
Step-by-step explanation:
When "y varies directly as x" the equation for that is ...
y = kx . . . . . . . for some constant k
The value of k can be found by solving for it:
k = y/x . . . . . . divide by x
So, the given point (x, y) = (2, -10) tells you the value of k is ...
k = -10/2 = -5
and the direct variation equation is ...
y = -5x
_____
Additional comments
There are a couple of other useful facts about direct variation. When you compare the equation to the slope-intercept form equation for a line, ...
y = mx + b
you see that b=0 and the slope, or rate of change, (m) is the same as k.
The y-intercept of 0 means that the graph of any direct-variation equation must go through the origin. (If it does not, then the variation is not direct.)
Help
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Answer:
A. 36°
Step-by-step explanation:
Given:
m<NST = 15x - 4
m<RSN = 6x
m<RST = 122°
Required:
m<RSN
Solution:
First we need to create an equation to determine the value of x.
Thus:
m<NST + m<RSN = 122° => angle addition postulate
15x - 4 + 6x = 122 (substitution)
Add like terms
21x - 4 = 122
21x - 4 + 4 = 122 + 4
21x = 126
21x/21 = 126/21
x = 6
✔️m<RSN = 6x
Plug in the value of x
m<RSN = 6(6) = 36°
What is the coordinate of the vertex of this following parabola?
Comparing the parabola's equation to the formula [tex]y = ax^2 + bx + c[/tex] in standard form is the first step. In step 2 Apply the formula h = -b/2a to find the vertex's x-coordinate. In step 3 Substitute x = h in the expression [tex]y = ax^2 + bx + c[/tex] to obtain the vertex's y-coordinate (k).
How are the axis and vertex determined?The equation of the parabola's axis of symmetry is the vertex's x-coordinate. The axis of symmetry for a quadratic function in standard form, [tex]y = ax^2 + bx + c[/tex] is a vertical line, [tex]x=b^2a[/tex].
What exactly is a vertex?The intersection of two lines or rays that create an angle is known as the vertex of the angle.
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Find Area of the triangle
Answer:
A = 0.5 × [ sqrt(17^2 - 15^2) ] × 15 + 0.5 × [ sqrt(25^2 - 15^2) ] × 15 = 210 in^2
Can someone sole this please
The value of u is given by the equation u = 37°
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the sum of total internal angles of a triangle be = 180°
Now , the triangle be ΔABC
The measure of ∠A = u + 4°
The measure of ∠B = u
The measure of ∠C = ( 180° - ( u + 41° ) ) ( angles on a straight line = 180° )
From the triangle theorem ,
u + 4° + u + ( 180° - ( u + 41° ) ) = 180° be equation (1)
On simplifying the equation , we get
2u + 184° - u - 41° = 180°
u + 143° = 180°
Subtracting 143° on both sides of the equation , we get
u = 37°
Therefore , the value of u is 37°
Hence , the value of u in the triangle is 37°
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Help soon would be greatly appreciated
The Kimbroughs'
home has a replacement value
of $82,700. They are insuring it for 80% of the
replacement cost.
a. What is the amount of insurance?
b. What is the amount of coverage for
personal property?
c. What is the amount of coverage
for loss of use?
d. What is the amount of coverage for the garage?
According to the information the amount of insurance would be $66,160, the amount of coverage for personal property would be $41,350, the amount of coverage for loss of use would be $16,540 and the amount of coverage for garage would be $8,270.
How to calculate the amount of each insurance?To calculate the amount of each insurance we have to take into account the main value ($82,700) and the percentage of each insurance. Then, we have to calculate every percentage value as shown.
A. What is the amount of unsurance?$82,700 / 100 = 827827 * 80% = $66,160B. What is the amount of coverage for persona property?$82,700 / 100 = 827827 * 59% = $41,350C. What is the amount of coverage for loss of use?$82,700 / 100 = 827827 * 20% = $16,540D. What is the amount of coverage for the garage?$82,700 / 100 = 827827 * 10% = $8,270Learn more about insurance in: https://brainly.com/question/27822778
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What does the variable t stand for in parametric equations?
Answer:
t is the independent variable of time
Step-by-step explanation:
t is the independent variable of time
A moving sidewalk carries people at a rate of 400 feet per minute. How long is this moving sidewalk if it takes 4 minutes to travel from one end to the other?
A 25 feet
B 100 feet
C 404 feet
D 1600 feet
*process
2 Log y= 1/2 Log 16-Log 2 + 2 Log 3
Answer:
Based on the given equation, the function g is an exponential function with base 2. The y-intercept of the function g is at (0, 4).
The graph of function f is not described, so it is not possible to accurately compare the two functions. In order to accurately compare the two functions, it would be helpful to have more information about the graph of function f, such as the vertex and any other points that the graph passes through.
Ed is using the recipe shown to make fruit salad. He wants to use 30 diced strawberries in his fruit salad. How many bananas, apples, and pears should Ed use in his fruit salad?
Fruit Salad Recipe - 4 bananas, diced. 3 apples, diced. 6 pears, diced. 10 strawberries, diced.
Answer:
12 bananas
9 apples
18 pears
Step-by-step explanation:
You are tripling the recipe.
10 x 3 = 3
4 x 3 = 12
3 x 3 = 9
6 x 3 = 18
which of the following shows the numbers in the box shown below listed in the increasing order
Find the missing side lengths. Leave your answers as radicals in simplest form. Please help!! Due today
Answer:
[tex]m = 10\sqrt 3[/tex]
[tex]n = 10[/tex]
Step-by-step explanation:
Required
Find m and n
Considering the given angle, we have:
[tex]\sin(60) = \frac{Opposite}{Hypotenuse}[/tex]
This gives:
[tex]\sin(60) = \frac{m}{20}[/tex]
Make m ths subject
[tex]m = 20 * \sin(60)[/tex]
[tex]\sin(60) =\frac{\sqrt 3}{2}[/tex]
So, we have:
[tex]m = 20 *\frac{\sqrt 3}{2}[/tex]
[tex]m = 10\sqrt 3[/tex]
Considering the given angle again, we have:
[tex]\cos(60) = \frac{Adjacent}{Hypotenuse}[/tex]
This gives:
[tex]\cos(60) = \frac{n}{20}[/tex]
Make n the subject
[tex]n = 20 * \cos(60)[/tex]
[tex]\sin(60) =\frac{1}{2}[/tex]
So, we have:
[tex]n = 20 *\frac{1}{2}[/tex]
[tex]n = 10[/tex]
9789 dived by 11 that’s it
Answer: 889.909090909
Step-by-step explanation:
divide
UGHH WHAT DOES THAT MEANN?!! PLEASE TELL ME HOW TO WRITE!! It
Answer:
.45
Step-by-step explanation:
it wants u to divide 5.40 by 12
HOPE THIS HELPS CHU (≧w≦)
The probability that you get to the bus stop on time is 0.25. The probability that the bus arrives on time is 0.55. What is the probability that you will get to the bus stop on time and the bus arrives on time?
PLEASE HELP!! i’ll mark you brainliest please !
Answer:
P(A) * P(B)
.25*.55
.1375
Step-by-step explanation:
P(A) * P(B)
.25*.55
Helpppppp meeeee pleaseeeeeeee
Answer:
The answer is 7/9
Step-by-step explanation:
Had this on my quiz one time
Answer:
7-9
Step-by-step explanation:
Please helps with all steps to solve the problem.
The solution to the inequality is (-∞, 4.05) .An inequality is a relationship that shows a non-equal comparison between two numbers or mathematical expressions.
Find inequality ?Both equations and inequalities are mathematical phrases created by connecting two expressions.
The equal sign (=) in an equation denotes that the two expressions are regarded as equal.
In contrast, an inequality indicates that the two phrases are not always equal by using the symbols >,,, or.
Given the inequality:
-3(4 – x) 6 < 9 – 2x
Solving the inequality:
(-12 + 3x)6 < 9 - 2x
-72 + 18x < 9 - 2x
20x < 81
x < 4.05
Therefore the solution to the inequality is (-∞, 4.05)
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A delivery person has two different delivery routes that he follows. The first route is 20.75 miles long and the second is 33.25 miles long. He travels each route 4 times a week. After 8 weeks, how many total miles has he traveled?
Answer:
He travelled: 1728 miles
Step-by-step explanation:
20.75 * 4 = 83 (Route A miles a week)
33.25 * 4 = 133 (Route B miles a week)
83 + 133 = 216 (Route A + Route B)
216 * 8 = 1728
I really need help with this question
Answer:
S= 76, T= 76, U= 104, R= 104
Y=104, V= 104, X= 76, W= 76
Step-by-step explanation:
Opposite Angles. Opposite angles are non-adjacent angles formed by two intersecting lines. Opposite angles are congruent (equal in measure).
U and V are alternating angles
so U and are 104
i d k the last one am so sorry
I NEED HELP I HAVE BEEN DOING THIS FOR HOURS I ACTUALLY HAD A MENTAL BREAKDOWN PLEASE HELP ME I WILL MARK BRAINLIEST
Answer:
x=8
Step-by-step explanation
Vertical angles are always congruent which means they are equal
Since we know this we can simply set the two angle equal to each other so...
5x-5=2x+19
Now what we do is add five to 19 and subtract 2x from 5x to get
3x=24
simply divide 24 by 3 to isolate x and now we have
x=8
Hope this was helpful!
A sequence is shown below
6, 8, 10, 12, 14
Which function represents this sequence?
A. f(n) = 4 + 2(n - 1)
B. f(n) = 4 + 2(n + 1)
C. f(n) = 6 + 2(n - 1)
D. f(n) = 6 + 2(n + 1)
Answer:
[tex]c \: is \: correct \\ you \: can \: put \: 1 \: 2 \: 3 \: 4numbers \: in \: equations \: and \: find \: best \: answer[/tex]