Answer:
For 1: The first term is 10 and the common difference is [tex]\frac{3}{2}[/tex]
For 2: The value of n is 27
Step-by-step explanation:
The n-th term of the progression is given as:
[tex]a_n=a_1+(n-1)d[/tex]
where,
[tex]a_1[/tex] is the first term, n is the number of terms and d is the common difference
The sum of n-th terms of the progression is given as:
[tex]S_n=\frac{n}{2}[2a_1+(n-1)d][/tex]
where,
[tex]S_n[/tex] is the sum of nth terms
For (1):The 11th term of the progression:
[tex]25=a_1+10d[/tex] .......(1)
Sum of first 4 numbers:
[tex]49=\frac{4}{2}[2a_1+3d[/tex] ......(2)
Forming equations:
[tex]98=8a_1+12d[/tex]
[tex]25=a_1+10d[/tex] ( × 8)
The equations become:
[tex]98=8a_1+12d[/tex]
[tex]200=8a_1+80d[/tex]
Solving above equations, we get:
[tex]102=68d\\\\d=\frac{102}{68}=\frac{3}{2}[/tex]
Putting value in equation (1):
[tex]25=a_1+10\frac{3}{2}\\\\a_1=[25-15]=10[/tex]
Hence, the first term is 10 and the common difference is [tex]\frac{3}{2}[/tex]
For 2:The nth term is given as:
[tex]49=10+(n-1)\frac{3}{2}[/tex]
Solving the above equation:
[tex]39=(n-1)\frac{3}{2}\\\\n-1=26\\\\n=27[/tex]
Hence, the value of n is 27
the sum of three consecutive even number is 27
Solve the system of equations by substitution:
3n + 5m = 7
m - 4n = 6
Answer:
m=2, n=-1 or (2,-1)
Step-by-step explanation:
Hi there!
We're given this system of equations:
3n+5m=7
m-4n=6
we want to solve by substitution; in one equation, we'll set one variable to equal an expression containing the other variable, substitute that expression as the variable into the other equation, solve for the variable substituted, and use the value of that variable to find the other variable
First, let's get the expression we'll substitute into the other
let's use m-4n=6 as it has 1m (m by itself)
add 4n to both sides
m=4n+6
now substitute 4n+6 as m into 3n+5m=7 to solve for n
3n+5(4n+6)=7
do the distributive property
3n+20n+30=7
combine like terms
23n+30=7
subtract 30 from both sides
23n=-23
divide both sides by 23
n=-1
we found the value of n
now let's substitute -1 as n in m=4n+6 to find the value of m
m=4(-1)+6
multiply
m=-4+6
add
m=2
so the answer is m=2, n=-1. As a point, it's (2,-1)
Hope this helps! :)
Imara used these steps to find the length of the hypotenuse of the right triangle.
3 squares are positioned to form a right triangle. The small square is labeled 15, medium square is 20, and large square is not labeled.
Step 1: Find the area of the square with side lengths of 20: 400
Step 2: Find the area of the square with side lengths of 15: 225
Step 3: Find the sum of the areas of the two squares: 625
Step 4: State the length of the hypotenuse: 625
Answer:
C, "She could have found the sum of 15 and 20 and then squared the sum."
Step-by-step explanation:
I just took the test on Edge :)
The answer is C, I got it right on edge.
Have a nice day everyone <3.
Find a mathematical model for the below statement. (Use k for the constant of proportionality.) The gravitational attraction F between two objects of masses m1 and m2 is jointly proportional to the masses and inversely proportional to the square of the distance r between the objects.
Answer:
[tex]F = k\frac{m_1m_2}{r^2}[/tex]
Step-by-step explanation:
Direct proportional:
Multiplication
Inverse proportional:
Division
The gravitational attraction F between two objects of masses m1 and m2 is jointly proportional to the masses
This means that:
[tex]F = k\frac{m_1m_2}{}[/tex]
Inversely proportional to the square of the distance r between the objects.
Denominator is [tex]r^2[/tex]. Thus:
[tex]F = k\frac{m_1m_2}{r^2}[/tex]
18 = [(-2) + (-1)] =
6
(-24)
(-6)
giving out brainliest
Answer:
[tex]x = -6[/tex]
Step-by-step explanation:
[tex]18 = [(-2) + (-1)]x[/tex]
Required
Find x
Remove the inner brackets
[tex]18 = [-2-1]x[/tex]
[tex]18 = [-3]x[/tex]
Remove the square bracket
[tex]18 = -3x[/tex]
Divide both sides by -3
[tex]\frac{18}{-3} = x[/tex]
[tex]x = -6[/tex]
Which of the following graphs show a
proportional relationship?
Choose all answers that apply:
Help me please I only have 20min left to do this
Answer:
A
Step-by-step explanation:
What is the period of the graph of y = 5 sin (πx) + 4?
Answer:
I think it’s 2 hope my answer was good have a nice day as well
Step-by-step explanation:
The period of the given function y = 5 sin (πx) + 4 is π.
We have given that,
y = 5 sin (πx) + 4
We have to determine the period
What is the period?
The period of the sine curve is the length of one cycle of the curve. The natural period of the sine curve is 2π.
Therefore the period of the given function is π.
To learn more about the period visit:
https://brainly.com/question/13753522
#SPJ2
Two angles are supplementary. One is 25° more than four times the other. Find the measures of the angles.
Answer:
100
Step-by-step explanation:
I believe it is this answer bur don't hold me to. If it is wrong I'm sorry in advance
Answer:
The two angles are 31° and 149°
Step-by-step explanation:
Let the two supplementary angles be , x and y.
Then, x + y = 180° ----- ( 1 )
Given : one is 25° more than 4 times other
Let y = 25° + 4x ------ ( 2 )
Substitute ( 2 ) in ( 1 ) :
x + y = 180°
x + 25° +4x = 180°
x + 4x = 180° - 25°
5x = 155°
x = 31°
Substitute x in ( 2 ) :
y = 25° + 4x
= 25 + 4 ( 31 )
= 25 + 124
= 149°
Eli will photograph a wedding for a flat fee of $880 or for an hourly rate of $120. For what lengths of time would the hourly rate be less expensive?
The hourly rate would be less expensive if the wedding was less than ___ hours long.
Answer:
7 hours
Just divide 880/120 = 7.3333333
So if 7*120 = 840
An hour more would be more expensive.
Gỉaỉ pt
2x^2×(2x^2+3)=2-x^2 ai giải giúp vs
2x²×(2x²+3)=2-x²
[tex]x = \frac{1}{2} , - \frac{1}{2} ,i \sqrt{2} , - i \sqrt{2} [/tex]
Pleeeeeeeese help me I will mark you as brainliest
[tex] \orange{\underline{\huge{\bold{\textit{\green{\bf{QUESTION}}}}}}} [/tex]
FIND THE NUMBER THAT MAKE EQUIVALENT FRACTION.
[tex] \huge\mathbb{\red A \pink{N}\purple{S} \blue{W} \orange{ER}}[/tex]
[tex] \red{solved} \\ \frac{4}{ \cancel{5}} = \frac{x}{ \cancel{40}^{ \: \: \: \tiny{8}} } \\ 8 \times 4 = x \\ 32 = x[/tex]
[tex] \blue{Part - 1} \\ \frac{4}{ \cancel{6}} = \frac{x}{ \cancel{24}^{ \: \: \: \tiny{4}} } \\ 4\times 4 = x \\ 16 = x[/tex]
[tex] \green{Part - 2} \\ \frac{1}{ 2} = \frac{6}{ x } \\ 6 \times 2 = x \\ 12 = x[/tex]
SOLVE LIKE THIS FOR ALL
PART - 3 --> 12
PART - 4--> 40
PART - 5 --> 6
PART - 6--> 4
PART - 7 --> 54
PART - 8 --> 12
PART - 9--> 36
PART - 10 --> 28
PART - 11--> 20
PART - 12 --> 28
PART - 13 --> 16
PART - 14 --> 20
PART - 15 --> 12
PART - 16 --> 6
PART - 17 --> 32
PART - 18--> 30
PART - 19 --> 27
PART - 20 --> 36
If a and b are zeroes of the x2 + 7 x+7, find the value of a−1+b−1−2ab.
9514 1404 393
Answer:
-15
Step-by-step explanation:
If 'a' and 'b' are zeros of the quadratic f(x), its factored form is ...
f(x) = (x -a)(x -b)
and its standard form is ...
f(x) = x^2 -(a+b)x +ab
This tells us that ...
a+b = -7
ab = 7
for the given quadratic.
Then the expression of interest is ...
[tex]a^{-1}+b^{-1}-2ab=\dfrac{1}{a}+\dfrac{1}{b}-2ab=\dfrac{a+b}{ab}-2ab\\\\=\dfrac{-7}{7}-2\cdot7=-1-14=\boxed{-15}[/tex]
(Right angle Trigonometry) Please help me solve and explain!
Answer:
31.3
Step-by-step explanation:
Reference angle given = 56.1°
Hypotenuse = 56.1
Adjacent side = x = ?
We would apply CAH, which is:
Cos 56.1° = Adj/Hyp
Cos 56.1° = x/56.1
56.1 × Cos 56.1° = x
31.2895006 = x
x = 31.3 (approximated to the nearest tenth)
w= 2hx - 11x Solve for X. Please and Thank you
Answer:
[tex]{ \tt{ w = 2hx - 11x}} \\ \\ { \bf{w = x(2h - 11)}} \\ \\ { \bf{x = \frac{w}{2h - 11} }}[/tex]
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: x = \frac{w}{(2h - 11)} }}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]w = 2hx - 11x[/tex]
[tex]✒ \: w = x \: (2h - 11)[/tex]
[tex]✒ \: x = \frac{w}{(2h - 11)} [/tex]
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
A community center rents their hall for special events. They charge a fixed fee of $200 plus an hourly fee of $22.50. Lin has $300 to spend on renting the hall for a fundraiser.Using only the money she has, can Lin pay for a 6 hour event? Explain or show your reasoning.
Answer:
No, 6 hours would cost $335, 35 over her limit of $300.
Step-by-step explanation:
she has to pay $200 plus 22.50 for every hour she rents. So, if she rents for 6 hours, she has to pay $200 + 6(22.50) or $200 + 135=335. She only has $300 so she can’t afford the event.
Pls solve this question:
it is about Square and square roots
if u answer, then I will mark you as brilliant
Answer:
2.3
Step-by-step explanation:
A number when squarerooted squared will be come that number.
In formula terms, it is something like that:
[tex]\sqrt{x} X \sqrt{x} =x[/tex]
So…
[tex]\sqrt{2.3} X \sqrt{2.3} = 2.3[/tex]
Which input value produces the same output value for the two functions
X=-12
X=-9
X=-6
X=-3
What is the radius of a sphere with a volume of 11411 m ^3 to the nearest tenth of a meter
Answer:
r = 22.5
Step-by-step explanation:
[tex]V=\frac{4}{3} \pi r^{3}[/tex]
[tex]11411=\frac{4}{3} \pi r^{3}[/tex]
[tex]r^{3}=3(\frac{11411}{3})[/tex]
[tex]r^{3}=11411[/tex]
∛r³ = ∛11411
r = 22.5134076467
22.5134076467 rounded to the nearest tenth is 22.5
Answer:
its 14
Step-by-step explanation:
Explain how to translate the phrase into an algebraic
expression
a number squared decreased by ten
Answer:
I think the answer is 1^2 - 10
Point D, not shown below, is one of the four (4) vertices of rectangle ABCD. Find its position and state the coordinate of point D.
Answer:
Hi im not got with graphs
Step-by-step explanation:
Sam is proving the product property of logarithms.
Answer: c
Step-by-step explanation: edge 2021
Suppose that you have a square pyramid like the one pictured. Which plane section will produce a triangle?
Question 7 options:
A)
A cut parallel to the vertical axis, directly through the vertical axis
B)
A cross section cut parallel with the bottom
C)
A cut parallel to the vertical axis, but off the vertical axis
D)
Cutting off one of the bottom corners
put these numbers in order of size, smallest to largest 4.5,-1,-3,-3.5,3
Answer:
-3.5, -3, -1, 3, 4.5
Step-by-step explanation:
Answer:
-3.5, -3, -1, 3, 4.5 because the higher the negative is, the lower the number.
y=5px+5x2+p2 differential equation
Answer:
Step-by-step explanation:
y=5px+5x2+p2
y=10p2x2p
(4x+ 5 = 20
Which best describes the circled part of the statement?
Expression
Coefficient
Term
Variable
Answer:
B) Coefficient.
Step-by-step explanation:
The coefficient is the numerical constant in the given term.
For example, the given term is 4x, in which:
4 is the coefficient.
x is the variable.
5 is the constant.
20 is another constant.
~
how to write 403.225 in words and how do i get the answer. Thanks!!!!
Should I get my nose pierced??
Answer:
no...you can just use a clip on
Answer:
it's absolutely worth it. The pain of getting one isn't that bad, at least for me. It's just a quick pinch. It'll look so good. Just make sure you are also cleaning it.
Step-by-step explanation:
HW HELP ASAP PLZZzzzzzzzz
Answer:
Graph 4
Step-by-step explanation:
The measures of the angles of the triangle are 32°, 53º,
950. Based on the side lengths, what are the measures
of each angle?
m2A = 95°, mZB = 53º, mZC = 32°
MZA= 32º, mzB = 53º, mZC = 95°
MZA= 43º, mZB = 32°, m2C = 95°
OmZA= 53º, m B = 95°, m2C = 32°
Answer:
m∠A = 32°
Step-by-step explanation:
8^2 = 12^2 + 15^2 - 2*12*15*cosA
Answer:
B
Step-by-step explanation:
did it on edge
Please help me with the correct answer
Answer:
50 books were sold
Step-by-step explanation:
there are 5 books in the Red Crow row, and each book is worth 10 sold.