Answer: the number of terms of the series is 201 numbers
the sum of the first 20 terms is 890
the number of terms of the series is [tex]\frac{805-5}{4}+1=201[/tex]
the series have:
u1 = 5
d = 4
=> u(n) = 5 + 4.(n - 1)
=> u(20) = 5 + 19.4 = 81
so the sum of the first 20 terms is (81 + 5).20/2 = 890
( u1 is the first number of the series, d is the distance between front and rear numbers, u(n) is the overall term of the sequence, u(20) is the 20th of the series)
Step-by-step explanation:
what are the slope and y-intercept for the graph of y-3x=-1
Answer:
Step-by-step explanation:
Think of the equation y = mx + b
So the m is the slope and the b is the y-intercept
m/slope= 3 b/y-intercept= -1
I need help with this equation. I'm not that smart so I can't figure it out-
Answer:
x = 0
Step-by-step explanation:
In order to solve for x, first combine both fractions on the left
To add 4x-2/8 + 3+x/4 first find the least common denominator of 8 and 4
It's 8 so multiply the numerator and denominator of 3+x/4 by 8, you would get:
8x+24/32
Multiply 4x-2/8 by 4, you will get:
16x-8/32
Now you can add 16x-8/32 + 8x+24/32, you would get:
24x+16/32
Now you can start to solve for x
Your new equation is 24x+16/32 = 1/2
To solve for x, first multiply diagonally, then solve like a regular equation.
Multiply 24x+16 by 2 to get 48x+32
Then multiply 32 by 1 to get 32
Your new equation is 48x+32=32
Now subtract 32 by 32 to get 48x=0
Now divide 48 by 0 to get x=0
Explain why it is important to line up decimal points when you are adding and subtracting decimals. Use the problem 6.32 – 0.5 in your explanation
Answer:
Kindly check explanation
Step-by-step explanation:
When performing addition and subtraction of decimals, it is important to arrange the numbers being added or subtracted such that the decimal points are in line. This is particularly important so that the place value of the numbers are in accord.
To simplify, when then decimals are in line, then the tenth value of the first number will be added to the tenth value of the second. Without this arrangement, one might be adding the hundredth placed value to the tenth or unit value which is mathematically incorrect and will yield a wrong result.
For instance :
6.32 - 0.5
Here, when the decimal point of each number is in line, the tenth placed value of the first number (3) matches the tenth placed number of the second number (5) and all others also fall in place automatically.
____6.32
- ___0.5
________
___ 5.82
________
PLEASE HELP!
In the accompanying diagram of rhombus ABCD, diagonal AC is drawn. If m<CAD 30, find m<ABC.
How many solutions will this system of equations have? (2 points)
x − 2y = 24
3x − 6y = 72
Find the slope and type in the correct code.
Answer:
DFBG
Step-by-step explanation:
At any point in time;
slope m = (y2-y1)/(x2-x1)
1. (3,19) and ((-1,-13)
m = (-13-19)/-1-3 = -32/-4 = 8
Letter here is D
2. we pick out two points to use here from the line
These are ((0,1) and (2,5)
Slope is ;
(5-1)/2-0 = 4/2 = 2
Letter here is F
3. We pick any two points
(1,-8) and (4,-32)
slope =
(-32 + 8)/4-1 = -24/3 = -8
Letter here is B
4. Slope = 8 + 10/0-9 = 18/-9 = -2
letter here is G
HELPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE IT IS URGENT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
12 - B
13 - No
14 - for every 2 feet of rope he pays about $1.50
hope this helps
Step-by-step explanation:
An airplane flies 444 miles per hour. How far will the train travel in 3 hours?
I’m stuck help me someone
Answer:
8.8
Step-by-step explanation:
Answer:1,332
Step-by-step explanation:
Equation: -2(2x + y) = 28.
Answer:
x=-14-y/2
Step-by-step explanation:
divide both sides by -2
-2(2x+y)/-2=28/2
simplify
2x+y=-14
subtract y from both sides
2x+y-y=-14-y
simplify
2x=-14-y
divide both sides by 2
2x/2=-14/2-y/2
simplfy
x=-14-y/2
Andrew purchased a coat for $50.00 on sale for 25% off. What was the cost of the coat after the discount not including tax?
Answer:
$37.50
Step-by-step explanation:
Sale = $50.00 x 25% = $12.50
=> The coat after the discount = $50.00 - $12.50 = $37.50
$37.50
Step-by-step explanation:
Sale = $50.00 x 25% = $12.50
=> The coat after the discount = $50.00 - $12.50 = $37.50
Annette, Barb, and Carlita work in a clothing shop. One day the three had combined sales of $1480. Annette sold $140 more than Barb. Barb and Carlita combined sold $320 more than Annette. How much did each person sell?
Write an expression to show how much it costs per week to keep the 8 adults x where the number of pounds one adults in a day. Simplify your expression
Answer:
y = 56xStep-by-step explanation:
Given the amount to keep one adult in a day to be x
Since 7 days = 1 week
Amount it will take to keep one adult for a week will be 7x
one adult = 7x pounds
To get the expression that show how much it costs per week to keep the 8 adults, we will say;
8 adults = y pounds
where y is the required amount
Solving both expressions
one adult = 7x pounds
8 adults = y pounds
Cross multiply
1 * y = 7x * 8
y = 56x
Hence the required expression is y = 56x
Triangle ACB with coordinates A(0,0), C(2,0), and B(2,4) is similar to triangle BED. If vertex D has coordinates (6,12), what are the coordinates of vertex E?
Answer:
A right triangle is a triangle that has 90 degrees angle in one of its parts. You are given two points that have coordinate:
x1,y1= (-2, 4)
x2,y2= (-1,1)
To make the angle 90 degrees, there is two possible third point coordinate:
1. x1, y2 = (-2,1)
2. x2, y1= (-1,4)
The right triangle would be option C: (-2,1)
Option A and B is not a right triangle
Step-by-step explanation:
Answer:
the coordinates of vertex E is (6,0)
C(2,0),compare this to(2,4)
same x.but y=0
(6,0)comparing to (6,12)
we get it
Help!
[tex] \sqrt{6 - 5x} + 2x = 0[/tex]
can you please give me a step by step? thank you!
Answer:
-3/2x +2
Step-by-step explanation:
To find slope: y value - y value over x value - x value
5-(-4) = 9
-2 -4 = -6
9/-6 = -3/2 after you divide each by gcf of 3
y intercept : plug in your y and x values (and your slope ) into the equation: y = mx+b (slope intercept form)
point 1 (-2,5): 5 = (-3/2)(-2)+b
5 = 3+b (subtract 3 from both sides)
2 = b (your y intercept)
Answer: y=[tex]\frac{-3}{2}[/tex]x+2
Step-by-step explanation:
1. Find the slope of the two coordinates by using the slope-intercept form:
Slope intercept form=(y₂-y₁)/(x₂-x₁)
(-4-5)/(4-(-2))
(-9)/(4+2)
-9/6 or -3/2
2. Now that we have the slope for these two coordinates, plug them into the point-slope formula.
Equation for point-slope: y-y₁=m(x-x₁), where m=slope
y-5=[tex]\frac{-3}{2}[/tex](x-(-2)
y-5=[tex]\frac{-3}{2}[/tex](x+2)
y-5=[tex]\frac{-3}{2}[/tex]x-[tex]\frac{6}{2}[/tex]
y-5=[tex]\frac{-3}{2}[/tex]x-3
(Add 5 to both sides)
y=[tex]\frac{-3}{2}[/tex]x+2
Express the missing divisor using a power of 10. Explain your reasoning using a model.
7.5 ÷ ___________ = 0.075
Solving an Equation for a Given Variable
The equation f= v + at represents the final velocity of an object. f. with an initial velocity, u, and an acceleration rate,
a, over time, t. Which is an equivalent equation solved for a?
Of-v =a
OL-v=a
V =a
OL+v=a
A new car is purchased for 20700 dollars. The value of the car depreciates at 11% per year. What will the value of the car be, to the nearest cent, after 11 years?
Answer:
5744. 61 cents
Step-by-step explanation:
5744. 61 cents
Because:
Explanation:
after 1 year:
20700×89%=18423
after 2 years:
18423×89%=16396.47
after 3 years:
16396.47×89%=14592.8583
after 4 years:
14592.8583×89%=12987.64389
after 5 years:
12987.64389×89%=11559.00306
after 6 years:
11559.00306×89%=10287.51272
after 7 years:
10287.51272×89%=9155.886323
after 8 years:
9155.886323×89%=8148.738828
after 9 years:
8148.738828×89%=7252.377557
after 10 years:
7252.37757×89%=6454.616026
after 11 years:
6454.616026×89%=5744.608263
~5744.61 (nearest cent)
Please help!!! Thank you!!!
Answer:
See below
Step-by-step explanation:
Statement | Reason
1. m∠A + m∠B + m∠C = 180° | 1. Angles in a triangle sum to 180°
2. 28° + x - 4° + 2x = 180° | 2. Substitution
3. x=(180° - 24°)/3= 156°/3°= 52° | 3. Algebra
Please actually answer this, don't just type random stuff i swear. Okay, has this been happening to anyone else? What's happening is I can't get a tutor at all, I am doing Mathematics too like- can someone help me, please don't answer this just for points.
Answer:
Finding a tutor for mathematics? If that's the problem
Step-by-step explanation:
Try asking friends, family, close people in your family about mathematics. Maybe they have the same problem and somehow got over it by studying, asking questions, or they have a tutor, etc
Try using that same method that they used. If none of them have problems, ask your parents about that. They might be willing to sit down and teach you a little bit...
I have always had problems with math so I am sorry if it doesn't work out for you
help look at image above
Answer:
any number greater than 5 (so 6 and 8)
Step-by-step explanation:
since the expression on the left is supposed to be greater than 7, 5 cant be an answer because that will equal to 7. Therefore any number greater than 5 will work.
Given the parent function and a description of the transformation, write the equation of the transformed equation, f(x).
1. Cubic—compress by 1/3 ______
2. Square Root —reflected over the x axis (opens down), vertical shift down 2. ______
3. Quadratic— stretch by 5, horizontal shift left 8. ______
anyone else trying to study but t i k t o k is being addicting
Step-by-step explanation:
yes I am how about you, I always get stuck on my assignments
Which equasion represents a line that is parallel to the line y=-4x+5
Tickets for a carnival for a family of 4 costs $28. The ticket includes 1 food item and 3 games. (More Than 1 Answer)
Select ALL true statements below based on this information.
A The cost for 2 tickets is $20. The cost for 2 tickets is $20.
B The cost is $7 per ticket The cost is $7 per ticket
C For $42 you could get 6 tickets. For $42 you could get 6 tickets.
D 12 tickets would cost you $6012 tickets would cost you $60
Answer:
your answer is $42
Step-by-step explanation:
for $42 you could get 6 tickets for 42 you could get 6 tickets so your answer is letter c
Here are 5 lines on a coordinate grid:
Write equations for lines:
Answer:
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
For the particular case of horizontal lines, those will be of the form:
y = constant.
The vertical lines will be of the form:
x = constant.
Let's start with line a, this is a vertical line, then will be:
x = constant.
To see the value of the constant, you need to see in which point it intersects the x-axis, in this case is in -4, then line a will be:
x = -4
For line b we have the same reasoning, in this case the line intersects the x-axis at x = 4, then line b is: x = 4.
Now for the horizontal lines:
Line c will be of the form:
y = constant
To find the value of the constant you need to see in which point the line intersects the y-axis.
In this case the line intersects the axis at y = 4.
Then this line can be written as: y = 4
For line d, we can see that it intersects the y-axis at -2, then this line will be written as:
y = -2.
For the case of line e we can use the first thing we wrote, let's find two points that belong to this line.
(0 , 1) and (4, -2)
Then the slope will be:
a = (-2 - 1)/(4 - 0) = -3/4
y = -(3/4)*x + b
To find the value of b, we can just replace the values of one of the points in the equation. I will use the point (0, 1), this means that we must replace x by 0, and y by 1.
1 = -(3/4)*0 + b
1 = b
Then the equation for line e is:
y = -(3/4)*x + 1.
What does 5000 x 5000?
Answer:
25,000,000
Step-by-step explanation:
5*5=25 and add the 6 zeros
please give thanks :)
Answer:
well for me
Step-by-step explanation:
I think
=25000000
¿Cuál debe ser el precio de venta de cada lápiz para que el ingreso total sea máximo? El ingreso total l(v) que se obtiene por la venta de lapices esta dado por la función l(v)=-2v^2+500v, donde v es el precio de venta de cada lápiz en pesos.
Responder:
125 pesos
Explicación paso a paso:
Dado el ingreso total l (v) obtenido de la venta de lápices por la función
Yo (v) = - 2v ^ 2 + 500v
v es el precio de venta de cada lápiz
Para que el ingreso total sea máximo, entonces dI / dv debe ser cero, es decir, dI / dv = 0
dI / dv = -4v + 500
Dado que dI / dv = 0
0 = -4v + 500
4v = 500
Dividir entre 4
4v / 4 = 500/4
v = 125
De ahí que el precio de venta de cada lápiz sea para que el ingreso total sea máximo es de 125 pesos
Please, can someone help me?
Step-by-step explanation:
4. not enough information
5.SAS
.we have PE congruent to ER
.angle PEF congruent to angle FER
.and EF that is common for both of triangles
6.SSS
.MO congruent to KL
.MK congruent to OL
.KO that is common for both of triangles.
what is the answer?
Answer:
x = 5
Step-by-step explanation:
Step-by-step explanation:
Since CD is the perpendicular bisector of AB, AD = DB.
Hence 6x - 2 = 2x + 18 and x = 5.