Answer:
see explanation
Step-by-step explanation:
Using the sum to n terms formula, then
S₁ = 1(3 - 4) = 1(- 1) = - 1 ⇒ a₁ = - 1
S₂ = 2(6 - 4) = 2(2) = 4, then
a₂ = S₂ - S₁ = 4 - (- 1) = 4 + 1 = 5
S₃ = 3(9 - 4) = 3(5) = 15, then
a₃ = S₃ - S₂ = 15 - 4 = 11
S₄ = 4(12 - 4) = 4(8) = 32 , then
a₄ = S₄ - S₃ = 32 - 15 = 17
S₅ = 5(15 - 4) = 5(11) = 55 , then
a₅ = S₅ - S₄ = 55 - 32 = 23
The first 5 terns of the series are
- 1, 5, 11, 17, 23
There is a common difference (d) between consecutive terms
d = 5 - (- 1) = 11 - 5 = 17 - 11 = 23 - 17 = 6
Thus the series is in arithmetic progression
Does anyone under stand this one ??
Answer:
its c i belive'
Step-by-step explanation:
Can someone plzzz help ASAP
Answer:
x = 7 √3 km
Step-by-step explanation:
Here, we want to get the value of x
As we can see, we have a right angled triangle with hypotenuse 14 km
we can use the Pythagoras’ theorem to get the value of x
Mathematically, the square of the hypotenuse equals the sum of the squares of the two other sides
Thus,
14^2 = x^2 + 7^2
x^2 = 196-49
x^2 = 147
x = 7 √3 km
If each of the two equations shown below are graphed in the same xy-coordinate plane, the graphs intersect. What is the x -coordinate of one of these points of intersection? y = 2x−9 y=−(x−1)2−7
Answer:
The graphs do intersect at two values of x;
x = 1
and
x = -1
Step-by-step explanation:
We have the two equations:
y = 2*x - 9
y = -(x - 1)^2 - 7
We know that when we graph these equations, the graphs do intersect.
if the graphs intersect, then we must have at least one point (x, y) that is a solution for both equations.
because in this point y is the same for both equations, then we can write:
2*x - 9 = y = -(x - 1)^2 - 7
this leads to the equation:
2*x - 9 = -(x - 1)^2 - 7
now we can solve this for x.
2*x - 9 + (x - 1)^2 + 7 = 0
2*x + x^2 - 2*x + 1 + 7 - 9 = 0
x^2 - 1 = 0
x^2 = 1
x = √1
Then we have two possible solutions:
x = 1, and x = -1
i have no clue what im doing.. please help
Answer:
2
Step-by-step explanation:
If triangles are similar (like shape ratios are exactly the same), then, 21 ÷ 3 = 7. Now you know the ratio to apply. So, side with the length of 14 s/b divided by that ratio of 7, that is, 14 ÷ 7 = 2
Which statement is correct?
O A.
The opposite of the opposite of 6 is 6.
OB.
The opposite of the opposite of 1 is 1.
O C.
The opposite of the opposite of 3 is 0.
O D.
The opposite of the opposite of 5 is.
Answer:
I think its OB but I'm not sure
Step-by-step explanation:
Sarah has 30 oranges an 48 plums . What is the ratio of oranges to plums
Answer:
30:48
Step-by-step explanation:
because there are 30 oranges and 48 plums. I got this by putting oranges in front of plums to get the ratio of 30:48
Solve: -8(x - 3y - 9)
Your answer
Answer: −8x+24y+72
-8(x - 3y - 9)
=(-8)(x + -3y + -9)
=(−8)(x)+(−8)(−3y)+(−8)(−9)
=−8x+24y+72
Step-by-step explanation:
im not entirely sure but i hope this helps
:) have a nice day !!
the cos c of recycle Tin can varies directly as it's weight w in kilograms .if a junk shop pays 60 pesos per kilo of tin cans how many kilos should a junk shop pay an amount of 390 pesos
Answer:
Step-by-step explanation:
c = 60w
390 = 60w
w = 6.5 kilograms
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whitch of the functions below could have created this graph
Answer:
C
Step-by-step explanation:
2 roots: 1 , -1
f(1) = 0 and f(-1) = 0 only function C fit the condition
Ryan ordered some books online and spent a total of . Each book cost and he paid a total of for shipping. How many books did he buy?
Answer: 12 books
Step-by-step explanation:
First you need to remove the cost of shipping from the total amount:
= 75 - 3
= $72
The above is the total amount spent on the books without shipping.
If each book cost $6, the total number of books bought is:
= 72 / 6
= 12 books
solve for N
what's the rule
Answer:
n = 8
Step-by-step explanation:
The rule for this table is multiply x by 4 to get y. To solve for n, divide y (32) by 4 to get x (8).
Hope it helps!
i need help with number 5
Answer:
the graph is not exponential because exponential is represented as a form of exponenti growth or exponential decay. Exponential function has a slight curve rather than a straight line
In a physics lab, an artifact is dropped from the roof of the school building, 98 feet above the ground. The height ݄ (in feet) of the ball above the ground is given by the function h(t)=-16t^2+98, where t is the time in seconds.
Answer:
The algebraic expression h = 16 feet.
Ali receives a 4% commission for all his sales. His sales for January were $15,000. What was the commission amount he earned for the month of January?
Answer:
$600
Step-by-step explanation:
Convert the 4% commission into a decimal, which is 0.04.Multiply the sales ($15,000) by the commission as a decimal (0.04). This is $600, which is the answer.When 20 large rooms are occupied, the total amount of money collected from the large room is $1800. When 10 large rooms and 21 small rooms are occupied, the hotel collects $2370. How much does the hotel charge for each small room?
PLEASE I NEED HELP ITS DUE TODAY!
Please help I’ll give you brainleast and thanks
Answer:
i got 49
i think its correct
Step-by-step explanation:
What is the area of triangle ABC? a \large 6\sqrt{3} square units b \large 18\sqrt{3} square units c \large 36\sqrt{3} square units d \large 72\sqrt{3} square units
question isn't clear but I believe you are asking for the area of triangle ABC given sides a, b, c
We use the example question:
Find the area (in square units) of the triangle described.
a = 49mm, b = 33mm, c = 18mm
Answer and explanation:
We apply Heron's formula to solve the area of a triangle given the sides of the triangle a, b, c
A= √s(s-a)(s-b)(s-c)
Where A = area of triangle in square units
s= semiperimeter(a+b+c/2) of a triangle
a, b, c= lengths of the sides of the triangle
Therefore area of triangle =√50(50-49)(50-33)(50-18)
= √27200
=164.92mm²
10x -20 plus 7x plus 4 equals 180 what is x
A parking lot has 7 red cars out of a total of 35 cars. What percent of the cars in the parking lot are red? Enter your answer in the box.
Answer:
20%
Step-by-step explanation:
Answer:
% of Red CARS = 20%Step-by-step explanation:
Total CARS = 35
Red CARS = 7
% of Red CARS = (red cars ÷ total cars)*100
% of Red CARS = (7÷35)*100
% of Red CARS = 20
What is the value of x?
Enter your answer in the box.
x = ___
The value of x from the given diagram using the similarity theorem of a triangle is 7
In order to get the value of x from the given triangle, we will use the similarity theorem of a triangle.
From the given triangle, the following equation is true;
5/40 = 3/2x + 10
Cross mutiply
5(2x + 10) = 3(40)
10x + 50 = 120
10x = 120 - 50
10x = 70
x = 7
Hence the value of x from the given diagram is 7
Learn more here: https://brainly.com/question/23961310
-29=9-6k-2k - 1please do the work, i’ll mark as brainliest
Answer:
k = 37/8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
-29 = 9 - 6k - 2k - 1
Step 2: Solve for k
Combine like terms: -29 = 8 - 8k[Subtraction Property of Equality] Subtract 8 on both sides: -37 = -8k[Division Property of Equality] Divide -8 on both sides: 37/8 = kRewrite/Rearrange: k = 37/8Step 3: Check
Plug in k into the original equation to verify it's a solution.
Substitute in k: -29 = 9 - 6(37/8) - 2(37/8) - 1Multiply: -29 = 9 - 111/4 - 37/4 - 1Subtract: -29 = -75/4 - 37/4 - 1Subtract: -29 = -28 - 1Subtract: -29 = -29Here we see that -29 does indeed equal -29.
∴ k = 37/8 is the solution to the equation.
Olivia is thinking of a number. she says, "my number is odd. It is a factor of 30 and a multiple of 3" There are two numbers she is thinking of, what are those numbers?
Please Help Me!!!
Andre is making paper cranes to decorate for a party. He plans to make one large paper crane for a centerpiece and several smaller paper cranes to put around the table. It takes Andre 10 minutes to make the centerpiece and 3 minutes to make each small crane. He will only have 30 minutes to make the paper cranes once he gets home.
Andre wrote the inequality 3x + 10 ≤ 30 to plan his time. Describe what x, 3x, 10, and 30 represent in this inequality.
Solve Andre’s inequality and explain what the solution means.
Answer:
6 small cranes
Step-by-step explanation:
3x + 10 is less than or equal to 30
3 is the minutes for the small cranes
X is the amount of small cranes
10 is the minutes for the large crane
30 is the total time limit
first, subtract 10 from 30, which gives you 20 so
3x is less than or equal to 20.
to figure this out, divide 20 by 3, which gives you 6 with a remainder of two minutes.
Andre can make 6 small cranes.
Find 27.1% of 208. Round to the nearest tenth.
Answer:
56.4 is your answer
Correct me if I'm wrong.
Answer:
56.368
Step-by-step explanation:
A coffee can in the shape of a cylinder has a Volume of V = 67.57 in. Find the forumla that gives the radius of the coffee can, r, in terms of the volume V and height h. If the height is 7.5 inches, what is the radius of the coffee can?
Answer:
r = sq rt [v/(h x Pi)]
r = 1.69
Step-by-step explanation:
v=h x Pi x r^2
r^2 = v/(h x Pi)
r = sq rt [v/(h x Pi)]
r = sq rt [67.57 / (7.5 x 3.14)]
r = sq rt 2.8692
r = 1.69
BE NICE AND SOLVE PLS
Answer:
BC=FE=5
BC=5
BA=DE=11
angle A= angle D=27
Consider the relationship in special right triangles to determine the tangent ratio for a 45 degree angle. Give your answer, as necessary, to the nearest thousandth place (three decimal place values).
Answer:
1
Step-by-step explanation:
The tangent of a angle is opposite side/ adjacent side
In a rights triangle with a 45° angle we have a special 45-45-90 triangle.
The legs of the triangle are congruent and are the opposite and adjacent sides of the 45° angle. Therefore, the ratio of those two sides is 1.
Therefore, the tangent of 45° = 1
About 8 out of 15 homes have a
dog as a pet. On a street with 165
homes, how many would you
expect to have a dog for pets?
with dogs
Help my friendddddddddddd
Answer:
It would be a positive correlation
Step-by-step explanation: