Answer:
[tex]x=2[/tex]
Step-by-step explanation:
[tex]4x-5x+2=0[/tex]
write the sum using sigma notation 3^2+4^2+5^2+...+10^2
[tex]\sum\limits_{i=3}^{10}\big i^2[/tex]
or:
[tex]\sum\limits_{i=1}^{8}\left(2+i\right)^2[/tex]
or:
x₁=3, x₂=4, x₃=5, .... x₈=10
[tex]\sum\limits_{i=1}^{8}\big x_i^2[/tex]
The sigma notation of 3^2+4^2+5^2+...+10^2 is: [tex]\sum\limits^{10}_{n = 3} n^2[/tex]
How to express the sum as a sigma notation?The sum is given as;
3^2+4^2+5^2+...+10^2
The above means that the sum of the squares of integers from 3 to 10
Using the above statement, the sigma notation is:
[tex]\sum\limits^{10}_{n = 3} n^2[/tex]
Where n represents the current integer
Read more about sigma notation at:
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What is the explicit formula for the geometric sequence with this recursive formula?
Answer:
A
Step-by-step explanation:
The explicit formula for a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
The recursive formula gives a term in the sequence by multiplying the previous term by r
Given the recursive formula
a₁ = - 6
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] ([tex]\frac{1}{4}[/tex] )
with r = [tex]\frac{1}{4}[/tex]
Then explicit formula is
[tex]a_{n}[/tex] = - 6[tex](\frac{1}{4}) ^{n-1}[/tex] → A
.
The table below shows the fees David
charges for yard work.
David's Yard Work Fees
Hours
2
4
6
Fee ($)
70
140
210
How much money does David charge for
yard work that takes 4.5 hours?
Answer this, please!! Its urgent
Answer:
Hello dear,
5.102 ×10⁸km
300000000
2.4×10⁵
149600000000m
Hope it will help you
please thank
Which expression is an equivalent expression of 12x + 10 + 4y?
A.
2(6x + 2y + 6)
B.
3(4x + y + 10)
C.
2(6x + 4y + 8)
D.
2(6x + 5 + 2y)
Answer: D
Step-by-step explanation:
Answer:
2( 6x+5+2y)
Step-by-step explanation:
12x + 10 + 4y
Factor out a 2
2*6x + 2*5 + 2*2y
2( 6x+5+2y)
*WORTH 15 POINTS!!!*
please answer this (photo attached - question below)
( the “<“ have _ under them in the real questions sorry if that’s confusing)
PART A:
the domain of the function is _____ < x < ______
PART B:
the range of the function is _____ < f(x) < _____
PART C:
the function decreases from _____ < x < _____
Answer:
what is this I don't kno!
A survey was taken of a random sampling of residents of New York City and Los Angeles to compare how many of them own a car. A 4-column table with 3 rows. The first column has no label with entries L A residents, N Y C residents, total. The second column is labeled own a car with entries 3,251; 1,478, 4,729. The third column is labeled do not own a car with entries 869; 6,182; 7,051. The fourth column is labeled total with entries 4,120; 7,660; 11,780. Which statement about the two-way frequency table is true? The survey represents quantitative data. There is a greater percentage of LA residents who own a car than NYC residents who do. The total number of people in the poll who own a car is 4,120. More people in the poll own a car than do not own a car.
Answer:
The correct option is;
There is a greater percentage of LA residents who own a car than NYC residents who do
Step-by-step explanation:
The values are presented as follows;
LA residents who own a car = 3251
NYC residents who own a car = 1478
Total residents who own a car = 4729
LA residents who do not own a car = 869
NYC residents who do not own a car = 6182
Total residents who do not own a car = 7051
Total LA residents sampled = 4120
Total NYC residents sampled = 7660
Total residents of both cities sampled = 11780
Percentage of LA residents who own a car = (3251/4120)×100 = 78.9%
Percentage of NYC residents who own a car = (1478/7660)×100 = 19.3%
The total number of people in the poll who own a car = 4729
Therefore, the correct option is that there is a greater percentage of LA residents who own a car than NYC residents who do.
Answer: B. There is a greater percentage of LA residents who own a car than NYC residents who do.
write a^4*a^2 without exponents
Answer:
a x a x a x a x a x a
Step-by-step explanation:
a^4 x a^2
a x a x a x a times a x a
= a^6 or a x a x a x a x a x a
i need 29 part b and c please help!
Answer:
$1.50
Step-by-step explanation:
29 part c
3÷2= 1.50
3 is the cost
and 2 is the cups
for 3 drinks it would cost $1.50
Which of the following equations is equivalent to the slope formula
Answer: D
Step-by-step explanation: Notice that if you multiply both sides of the equation of y2 = m (x2 - x1) + y1 by X2 - X1.
This gives you m(X2 - X1) = Y2 - Y1.
Then add Y1 to both sides to get m(X2 - X1) + Y1 = Y2.
This slope would be equivalent to the usual slope formula.
Solve the following system:
y = x + 3
4x + y = 18
Your answer:
(6, 3)
(3, 6)
(−3, 6)
(3, −6)
Answer:
B (3,6)
Step-by-step explanation:
y = x + 3
then we will use this y to substitute the other y
4x + y = 18
4x + (x +3) = 18
4x + x + 3 = 18
5x = 18 - 3
5x = 15
x = 15/5 = 3
then we can find the value of y
y = x + 3 = 3 + 3 = 6
so the (x,y) is (3,6)
Complete the following proof Given: is the midpoint of , is the midpoint of Prove: =2
Answer:
Step-by-step explanation:
Statements Reasons
1). M is the midpoint of segment AB 1). Given
B is the midpoint of segment MD
2). AM = MB and MB = BD 2). Definition of midpoint
3). MD = MB + BD 3). Segment Addition Postulate
4). MD = MB + MB 4). Substitution property of of Equality
5). MD = 2MB 5). Simplify
Therefore, if M is the midpoint of segment AB, B is the midpoint of MD then MD = 2MB
help me i’m in need
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Example: (View attached image below). Table A is a function because each x value has only 1 y value. But Table B is not a function because the x value of 4 has 2 y values.
Answer:
D No, because on x values corresponds to two different y values
Step-by-step explanation:
This is not a function because an input has two different outputs
x=5 has two different y values
The figure shows a carpeted room. How many square feet of the room is carpeted?
Answer:
40
Step-by-step explanation:
So split it into two shapes. Two rectangles.
Rectangle 1 = 4 * 5 = 20
Rectangle 2 = 2 * 10 = 20
20 + 20 = 40
Answer:
40 square feet
Step-by-step explanation:
we can cut the carpeted space into 2 parts for easier calculation.
we can do 4 x 5 to find the first part, which equals to 20 square feet.
then, to find the side length of the left over rectangle, you can do 6 - 4, making it the length of the side length, which is 2. then all you must do is multiply 2 by 10, which also equals to 20 square feet.
Just add up both of the calculations(20 +20) then you'll get your answer!
the answer is 40 square feet.
Hope this helps and you understand now!
A colour printer prints 38 pages in 11 minutes. How many pages does it print per minute? round to nearest hundredth.
Answer:
3.45
Step-by-step explanation:
If the printer can print 38 pages in 11 minutes and we want to find how many it prints per minute, we can divide the number of pages printed by the time it took.
So, divide 38 by 11.
38/11 = 3.454545
Round to nearest hundredth: 3.45
Answer:
3.45 pages per minute
Step-by-step explanation:
Take the number of pages and divide by the number of minutes
38 pages/11 minutes
3.45454545 pages/minute
To the nearest hundredth
3.45 pages per minute
x + y = 2
y=-3x2 + 3
Answer:
x, y = -3/2, -3/2
Step-by-step explanation:
photo math will be your best friend
Answer: y = 2/3 x -2/3
Which of the following describe an angle with a vertex at E?
Check all that apply.
The vertex of angle is the middle letter.
E is the vertex so the answers are:
A and C
Answer:
FED and DEF
Step-by-step explanation:
vertex is the middle letter
calculate 16% of £50
Given the speeds of each runner below, determine who runs the fastest.
Ron runs 8 feet per second.
Liz runs 104 feet in 7 seconds.
Katie runs 1 mile in 526 seconds.
Emily runs 835 feet in 1 minute.
Answer:
Liz
Step-by-step explanation:
lets make all speeds ft/1sec
Ron 8ft/1sec
Liz 104ft/7sec : 104/7=
14.8571428571 ft/1 sec
Katie
1 mile = 5280ft
5280ft/526sec
5280/526=
10.0380228137ft/1 sec
Emily,
1 min= 60 sec
835ft/60 sec
835/60=
13.9166666667 ft/sec
now, lets order from least to greatest
R:8ft/1sec, K:10.0380228137ft/1 sec,
E:13.9166666667 ft/sec, L:14.8571428571 ft/1 sec
Liz's speed is fastest
Please someone help me, i need thier solve please my teacher told me to solve them
Answer:
A. Domain : (-∞, ∞)
B. Function is increasing in the interval (-2, 0) and (2, ∞)
Decreasing in the interval of (-∞, -2) and (0, 2).
Step-by-step explanation:
A. Given function is, y = |2x - 1|
This function is the transformed form of the parent function, y = |x|
Domain of the parent function is { x | x is a set of real numbers}
Therefore, domain of the transformed function will be the same as the domain of the parent function.
Domain of the function = {x | x is a real number}
B. Given function is f(x) = [tex](x^2-4) ^{\frac{2}{3} }[/tex]
Domain of the function : (-∞, ∞)
Critical points of the function are,
⇒ x = 0, ±2
Now we find the three intervals where we have to check the function to be increasing or decreasing.
(-∞ -2), (-2, 0), (0, 2), (2, ∞)
Derivative of the function f(x),
f'(x) = [tex]\frac{4x}{3(x^2-4)^{\frac{1}{3} } }[/tex]
Here, f'(x) < 0 for (-∞, -2)
f'(x) > 0 for (-2, 0)
f'(x) < 0 for (0, 2)
f'(x) > 0 for (2, ∞)
Therefore, given function is increasing in the interval (-2, 0) and (2, ∞)
And it's decreasing in the interval of (-∞, -2), and (0, 2).
NEED ANSWER ASAP. WILL MARK THE BRAINLIEST
Use the function below to find f(2)
f(x)=1/3x4^x
Answer:32/3
Step-by-step explanation:
1/3(2)4^2
1/3(2)(4^2)
2/3(16)
32/2
Answer:
f(2)=16/3
Step-by-step explanation:
f(2)=1/3 (4^2)
f(2)=1/3(16)
f(2)=16/3
y+7=-2(x-3) write in slope form
Answer:
y=2x-3
Step-by-step explanation:
The slope intercept form is y=mx+b, where m is the slope and b is the y intercept.
y+7=-2(x-3) in slope formula would be y=2x-3, which also means the slope would be m=-2
I hope this helps :)
Pizza is often circular shape and size of the pizza is the length of diameter with included crust. A 16 inch pizza is one with a 16 inch diameter. What is the area of a 16 inch pizza?
Answer:
≈201 in²
Step-by-step explanation:
Area= π×r²= π×d²/4Area of 16 in pizza= π×16²/4= 3.14× 256/4 ≈201 in²Answer:
201 in²
Step-by-step explanation:
Hope this helps! :)
Sara rolls two dice, one black and one yellow. What is the probability that she will roll a 3 on the black die and 5 on the yellow die?
Answer:
1/6 x 1/6 = 1/36
Step-by-step explanation:
We have to multiply as the odds get smaller as in every experimental probability being from experimental one dice and then trying to achieve that number alongside and same timing another number on an inclusive 2nd dice.
2. Janice is buying paint to paint her new apartment. The store sells paint in one-gallon cans. How accurate does her estimate
need to be for the amount of paint needed?
Answer:
its 60-10+x why, because she bought the dress with $60 and she received $10 dollars back. We don't know the variable.
Bob buys eggs and potatoes at a store.
• He pays a total of $25.92.
• He pays $2.57 for the eggs.
• He buys 5 bags of potatoes that each cost the same amount, Which equation can be used to determine the cost, x, of each bag of potatoes?
a. X = (25.92 - 2.57) = 5
b. x = 25.92 = 5 + 2.57
c. X = (25.92 +2.57) = 5
d. x = 25.92 - 5 -2.57
Answer:
a. X = (25.92 - 2.57) ÷ 5
Step-by-step explanation:
shld be a divide sign instead of a equal sign before 5
Expand the binomial using Pascal's triangle
(3x+5)
Answer:
Step-by-step explanation:
0. 1
1. 1 1
2. 1 2 1
3. 1 3 3 1
4. 1 4 6 4 1
5. 1 5 10 10 5 1
6. 1 6 15 20 15 6 1
7. 1 7 21 35 35 21 7 1
8. 1 8 28 56 70 56 28 8 1
What is the slope of the line that goes through the points (1,5) and (4,1)
Answer:
[tex] - \frac{4}{3} [/tex]
Step-by-step explanation:
gradient formula:
[tex] \frac{y1 - y2}{x1 - x2} [/tex]
Thus, slope of the line
[tex] = \frac{5 - 1}{1 - 4} \\ = - \frac{4}{3} [/tex]
Slope of the line that passes through the points (1,5) and (4,1) is equals to [tex]\frac{-4}{3}[/tex].
What is slope?" Slope is defined as the ratio of difference of the increase in y- coordinates to the difference of increase in x- coordinates."
Formula used
Two coordinates on line
[tex]( x_{1} ,y_{1})\\\\(x_{2}, y_{2})[/tex]
Slope = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
According to the question,
Given,
Point on the line
[tex]( x_{1} ,y_{1})= ( 1,5)\\\\(x_{2}, y_{2})= ( 4,1)[/tex]
Substitute the value to get the slope of the line,
Slope = [tex]\frac{1-5}{4-1 }[/tex]
= [tex]\frac{-4}{3}[/tex]
Hence, slope of the line that passes through the points (1,5) and (4,1) is equals to [tex]\frac{-4}{3}[/tex].
Learn more about slope here
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subtract the difference of p and a from 3
Answer:
see below
Step-by-step explanation:
Translating this into math we get 3 - (p - a).
Find the missing side. Be sure to show all of your work. Round to the nearest tenth
if necessary
Answer:
x=3.9 approximately
Step-by-step explanation:
Using Pythagorean theorem:
[tex]x^{2} + (5x)^{2} = 20^{2}[/tex]
[tex]x^{2} + 25x^{2} = 400[/tex]
26x^2 =400
x^2 = 15.3846
x=3.9
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityGeometry[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a legb is another legc is the hypotenuseApplicationStep 1: DefineLet's define what the problem gives us:
We are given a right triangle, indicated by the square box inside the triangle, with side lengths 5x and x and a hypotenuse of 20.We can set these measurements equal to our variables defined above in our Pythagorean Theorem equation:
a = 5xb = xc = 20Step 2: WorkNow, we can substitute our variables and solve for x, which will help us find the side lengths as well:
[Pythagorean Theorem] Substitute in variables:∴ our x approximately equals 3.9.
Now we can use our value of x to solve for the missing triangle lengths:
Length of 5x:
Substitute in x:∴ this particular side length has a length of 19.5.
Length of x:
Substitute in x:∴ this particular side length has a length of 3.9.
Answer∴ the side lengths of this particular triangle are 19.5 and 3.9, respective to their variables 5x and x.
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Learn more about Triangles: https://brainly.com/question/20094559
Learn more about Geometry: https://brainly.com/question/16909531
___
Topic: Geometry
Unit: Triangles
