Answer:
[tex]\frac{133}{66}[/tex]
Step-by-step explanation:
we require 2 equations with the repeating digits placed after the decimal point.
let x = 2.01515... ( multiply both sides by 10 and 1000 )
10x = 20.1515.... (1)
1000x = 2015.1515... (2)
subtract (1) from (2) thus eliminating the repeating digits
990x = 1995 ( divide both sides by 990 )
x = [tex]\frac{1995}{990}[/tex] = [tex]\frac{133}{66}[/tex] ← in simplest form
A rectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the
translation?
(x + 5, y-3)
(x + 5, y + 3)
(x, y)(x-3, y + 5)
(x, y) (x + 3, y + 5)
(x, y)
O(x, y)
Mark this and return
Save and Exit
lext
Submit
Answer:
(x+5, y-3)
Step-by-step explanation:
I would say this because when a plane is translated up it would be positive and when it's translated to the left it would be negative,
When taking a 17 question multiple choice test, where each question has 3 possible answers, it would be unusual to get or more questions correct by guessing alone?
Answer: If you’re talking on a percentage basis, it would be extremely unlikely to get a majority of the questions correct.
Step-by-step explanation:
Express each fraction as a decimal:
- 2 4/100
find the zeros of the following
1.x³+x²-4x-4=0
Answer:
x = -1, x = -2 , x= 2
Step-by-step explanation:
First we factorise this cubic function :
(x+1)(x+2)(x-2) = 0
Using the law a×b×0 = 0
We know that to find the zeros we have to set each bracket equal to 0 :
x+1 = 0 OR x+2 = 0 OR x-2 = 0
x = -1 x = -2 x = 2
Hope this helped and have a good day
Please answer quickly!
19) The sum of the arithmetic series is - 397. (Correct choice: E)
33) The sum of the geometric series is 1700. (Correct choice: E)
How to determine the sum of a given series
19) Arithmetic series are sets of elements generated by a linear expression of the form:
aₙ = a₁ + (n - 1) · d (1)
Where:
aₙ - n-th term of the seriesa₁ - First term of the series n - Index of the n-th term of the series.d - Change between two consecutive elements of the series.If we know that a₁ = 27, n = 20 and d = - 5, then sum of the first 20 terms of the series is:
x = 27 + 22 + 17 + 12 + 7 + 2 + (- 3) + (- 8) + (- 13) + (- 18) + (- 23) + (- 28) + (- 33) + (- 38) + (- 43) + (- 48) + (- 53) + (- 58) + (- 63) + (- 68)
x = - 397
The sum of the arithmetic series is - 397. (Correct choice: E)
33) Geometric series are sets of elements generated by a exponential expression of the form:
aₙ = a₁ · rⁿ (2)
Where:
aₙ - n-th term of the seriesa₁ - First term of the seriesr - Ratio between two consecutive elements of the series.If we know that a₁ = 1458 and r = 1 / 3, then the sum of the first 6 terms of the geometric series is:
x = 1458 + 162 + 54 + 18 + 6 + 2
x = 1700
The sum of the geometric series is 1700. (Correct choice: E)
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If f(5) = 12, f ' is continuous, and 7 f '(x) dx 5 = 16, what is the value of f(7)? f(7) =
The value of function f(x) at x = 7 is f(7) = 28
For given question,
we have been given the value of function f(x) at x = 5.
f(5) = 12
We have been given that f'(x) is continuous on 5 and 7
Also, [tex]\int\limits^7_5 {f(x)} \, dx =16[/tex]
We need to find the value of f(7)
Since ∀x, f'(x) = f'(x), f is a primitive function of f' .
And f ' is continuous
[tex]\Rightarrow \int\limits^7_5 {f(x)} \, dx =16\\\\\Rightarrow [f(x)]_5^7=16[/tex]
⇒ [f(7) - f(5)] = 16
⇒ f(7) - 12 = 16
⇒ f(7) = 16 + 12
⇒ f(7) = 28
Therefore, the value of function f(x) at x = 7 is f(7) = 28
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On a coordinate plane, triangle D E F has points (negative 8, 8), (10, negative 2), and (negative 8, negative 8).
Find the area of the triangle DEF.
Area = square units
Answer: 144
Step-by-step explanation:
The length of DF is 16.
The horizontal distance from DF to E is 18.
So, the area is [tex]\frac{1}{2}(16)(18)=144[/tex]
The area of the triangle DEF is approximately equal to 144.014 square units.
How to find the area of a triangle by Heron's formulaTriangles can be generated on a Cartesian plane by marking three non-colinear points on there. Heron's formula offers the possibility of calculating the area of a triangle by only using the lengths of its three sides, whose formula is now introduced:
A = √ [s · (s - DE) · (s - EF) · (s - DF)] (1)
s = (DE + EF + DF) / 2 (2)
Where s is the semiperimeter of the triangle.
First, we determine the lengths of the sides DE, EF and DF by Pythagorean theorem:
Side DE
DE = √ [[10 - (- 8)]² + (- 2 - 8)²]
DE ≈ 20.591
Side EF
EF = √ [(- 8 - 10)² + [- 8 - (- 2)]²]
EF ≈ 18.974
Side DF
DF = √[[- 8 - (- 8)]² + (- 8 - 8)²]
DF = 16
Then, the area of the triangle DEF is by Heron's formula:
s = (16 + 18.974 + 20.591) / 2
s = 27.783
A = √[27.783 · (27.783 - 20.591) · (27.783 - 18.974) · (27.783 - 16)]
A ≈ 144.014
The area of the triangle DEF is approximately equal to 144.014 square units.
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the perimeter of a rectangular plot of land whose length is (2x+5) and width (x-10)m is 80m Find;
i. the value of x
ii. the area of the plot
iii the cost of weeding the plot at $ 0.24 per m square
Answer:
x = 15
The area is 175 [tex]meters^{2}[/tex]
Cost of weeding is $42
Step-by-step explanation:
The perimeter includes two lengths and two widths, so the equation for x would be
2(2x +5) + 2(x -10) = 80 Distribute the 2's
4x + 10 + 2x -20 = 80 Combine the like terms
6x -10 = 80 Add 10 to both sides
6x = 90 Divide both sides by 6
x = 15
Area is length times width. We need to find the length and width.
2x + 5
2(15) + 5
30 + 5
35 is the width
x -10
15-10
5 is the length
A = (l)(w)
A = (35)(5)
A = 175 The area is 175
The cost of weeding is 175 x .24 = 42
Complete the point-slope equation of the line through (-2,6) (1,1)
Use exact numbers.
y-6=??
Answer:
y-6= -5/3(x+2)
Step-by-step explanation:
the general way to write it is y-y1 = m(x-x1), so i plugged in the values
y1 = 6, x1 = -2
m = (y2-y1)/(x2-x1) = -5/3
A 5-pound box of raspberries costs $27.20. What is the price per ounce?
$
Answer:
$0.34 per ounce
Step-by-step explanation:
A 5 pound box can be changed to ounces. There are 16 ounces in a pound. So we have 5 groups of 16.
5 × 16 is 80 ounces.
There are 80 ounces in 5lbs.
To get a price per ounces, divide.
dollars/ounces
= 27.20/80
= 0.34 dollars/oz.
This is 34cents per ounce.
find the slope given the following information
(3,7) and (-4,10)
Answer:
m=-3/7
Step-by-step explanation:
m=rise/run=Δy/Δx
m=y2−y1/x2−x1
m=10−7/−4−3
m=3/−7
m=−3/7
What number is represented by the question mark?
111= 0, 3213=0, 7756= 1,7662= 2, 6855= 3, 8096= 5,6666=4 . 8193= 3,9313= 1,8639= 4,1234=0, 2581 = 2,7186= 3, 2679=?
Based on the sequence of numbers given, the number that is represented by the question mark is 2679 = 2.
What is the sequence given?The sequence requires that you count the number of circles that a group of number has. For instance 9 has one circle and 8 has two circles because of the way they are drawn.
The numbers 111, 3213, and 1234 will therefore be equal to 0 because there is no number that has a circle in it.
The number 8096 however, will be equal to 5 because there are 5 circles. Two in 8. 1 in 0. 1 in 9. 1 in 6.
This means that the last number of 2679 will therefore be equal to 2 because there are two circles. One circle is in 6, and the other circle is in 9.
In conclusion, the number represented by the question mark is 2.
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Which number line shows the solution to the inequality? y minus 2 less-than negative 5 A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. A closed circle is at negative 3. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the right of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 7. Everything to the left of the circle is shaded.
The number line which represents the solution bro the inequality y -2 < -5 is;
An open circle is at negative 3. Everything to the left of the circle is shaded.
First, we must solve the inequality so that it looks it's simplest form in order to be represented on a number line.
Solving the inequality is as follows;
y - 2 < -5
y < -5 +2
y < -3.
In essence, representation of the inequality, y < -3 on the number line is as follows;
An open circle is at negative 3. Everything to the left of the circle is shaded.
PS: It is only a closed circle if the inequality includes an equal to sign.
What is the primary purpose of data democratization?
a) make data accessible to all users
b) make data inaccessible to all users
The main goal of data democratization is to make data accessible to all users. Option (a) is correct.
Given the primary goal of data democratization.
Data democratization is the ability to make information in a digital format accessible to the average end user. The goal of data democratization is to allow non-professionals to collect and analyze data without the need for outside help. This requires us to support access with an easy way for people to understand data, so they can use it to accelerate decision-making and uncover opportunities for a business. The goal is for everyone to be able to use the data at any time to make decisions without barriers of access or understanding.
Therefore, the main goal of data democratization is to make data accessible to all users.
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what is y interception
Answer:
The y-intercept is (0, 0).
Step-by-step explanation:
The y-intercept is where the line passes through the y-axis.
Please see attachment.
Hope this helps!
2. G.GPE.7 Consider ∆ABC below. What is the perimeter of ∆ABC? * A. 16.9 B. 12.9 C. 18.6 D. 17.4
Answer:B
Step-by-step explanation:
Sketch a graph of the following rational function: h(x)= x²-1/ x³-2x²-x+2
Note that
[tex]\frac{x^2-1}{x^3 - 2x^2 -x+2}=\frac{x^2 -1}{x^2 (x-2)-(x-2)}=\frac{x^2 -1}{(x^2 -1)(x-2)}[/tex]
So, for all [tex]x \neq \pm 1[/tex], [tex]f(x)=\frac{1}{x-2}[/tex].
So, the graph looks like something like as following in the image.
The graph shows the amount of money that the journalism club raised for a scholarship fund over a 5-week period. If x represents the number of weeks, which function is the BEST fit for the information in this graph?
The line of best fit for the information in this graph is:
f(x) = 200x + 100.
How to find the equation of linear regression using a calculator?To find the equation, we need to insert the points (x,y) in the calculator.
For this problem, the points (t,v) are given as follows:
(2, 500), (3, 700), (4, 900), (5, 110)
Hence, inserting these points into a calculator, the equation is given by:
f(x) = 200x + 100.
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Can someone help pls :)
Answer:
no
Step-by-step explanation:
What is the solution to the
system of equations graphed below?
y = x- 2
y = 3x - 2
Answer:
(0, -2)
Step-by-step explanation:
The solution to a system of equations is the point on the graph where the lines intersect.
SolutionHere, both lines have a y-intercept of -2, so intersect there. The solution is ...
(x, y) = (0, -2)
The number of pennies on square 64 is the total number of pennies on the first 63 squares.
Answer:The number of pennies on square 64 is greater than the pennies on 63 squares since 64 is already greater 63 that when 63 gets bigger 64 will also get bigger so it will always be greater than 63
Step-by-step explanation:
Answer:
Step-by-step explanation:
greater than
HELP ME ASAP........
The sample at option B, {0, 2} is not a part of the sample space of a spinner when spun two times.
What is a sample space?The set consists of all the possible outcomes of an event called sample points, which is said to be a sample space.
Calculation:It is given that,
a spinner has 5 sections of equal area and each section is numbered from 1 to 5.
If the spinner is spun two times, then the possible outcomes are 25. They are:
{(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5)}
So, from the given options, the sample {0, 2} is not possible since there is no such a section on the spinner named 0.
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What type of quadrilateral is created by the points:
L (-5,4), M (2,2), N (0,-3), S (-7,-1)
Given same lengths and slopes of the opposite sides and nature of the angle between adjacent sides, we have;
The type of quadrilateral is a parallelogram How can the type of quadrilateral be found?The given points are;
L(-5, 4), M(2, 2), N(0, -3), S(-7, -1)
Lengths of the sides are;
Length of LM = √((2-(-5))²+(2-4)²) ≈ √(53)
Length of MN = √((2-0)²+(2-(-3))²) ≈ √(29)
Length of NS = √((0-(-7))²+((-3)-(-1))²) ≈ √(53)
Length of LS = √(((-7)-(-5))²+((-1)-4)²) ≈ √(29)
Therefore;
The lengths of opposite sides are the same.Slope of LM = (2-4)/(2-(-5)) = -2/7
Slope of MN = (2-(-3))/(0-2) = 5/2
Slope of NS = ((-3)-(-1))/(0-(-7)) = -2/7
Slope of LS = ((-1)-4)/(-7-(-5)) = 5/2
Therefore;
The opposite sides are parallel, and The the adjacent sides are not perpendicularThe quadrilateral created by the points L(-5, 4), M(2, 2), N(0, -3), S(-7, -1) is therefore;
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Find the product of (x − 8)2 and explain how it demonstrates the closure property of multiplication.
The product of [tex](x - 8)^2[/tex] is not a polynomial equation because a polynomial equation means a coefficient of x that has a power of two or more powers.
What is a Polynomial Equation?
The equations developed with variables, exponents, and coefficients exists named polynomial equations. It can include various exponents, where the higher one stands named the degree of the equation.
Closure property under multiplication notes that any two rational numbers' outcome will be a rational number, i.e. if a and b exist in any two rational numbers, ab will also be a rational number.
Example: (3/2) × (2/9) = 1/3.
The product of [tex]$(x - 8)^2[/tex]
Simplifying the equation as (x − 8)(x − 8)
Apply Perfect Square Formula, and we get
[tex]$(a-b)^{2}=a^{2}-2 a b+b^{2}$[/tex]
[tex]$&(x-8)^{2}=x^{2}-2 x \cdot 8+8^{2} \\[/tex]
[tex]$&=x^{2}-2 x \cdot 8+8^{2}[/tex]
Simplifying the above equation, we get
[tex]$x^{2}-2 x \cdot 8+8^{2}=x^{2}-16 x+64 \\[/tex]
[tex]$&=x^{2}-16 x+64[/tex]
This is not a polynomial equation because a polynomial equation means a coefficient of x that has a power of two or more powers.
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40 points answer ASAP PLEASE!
For what values of x does f(x) = 0?
A.−4, 0, 2
B.−2, 0, 4
C.−5, 0, 17
D.−17, 0, 5
I think it is 2, 0, 4 but it would be very helpful if you put in an image of the graph.
Have a great day :D
Factorize: p(x)=x^2+9x^2+23x+15
Answer:
(x+1),(x+3),(x+5)
Step-by-step explanation:
may be this answer helps to solve the problems
Based on your calculations so far, how many cubic meters of water did the hull of the titanic have to displace to stay afloat?
The cubic meters of water did the hull of the titanic have to displace to stay afloat is known to be about 52,310 tons that is 51843.918 m³ of water.
What is the titanic calculations about?The RMS Titanic is known to be a ship that is said to be owned by the White Star Line.
This is known to be the biggest British passenger liner that was said to have sank when it was on its maiden voyage in the year 1912 in the North Atlantic Ocean.
Note that it sank because it was said to have hit an iceberg on Sunday, 14 April 1912.
The Titanic was said to be about 46,328 gross register tons and was known to have displaced about 52,310 tons of water.
So, 1 ton (displacement) ≈ 0.99109 cubic meters (m³)
Therefore, 52,310 tons
= 52,310 × 0.99109 m³
≈ 51843.918 m³
Therefore, The cubic meters of water did the hull of the titanic have to displace to stay afloat is known to be about 52,310 tons that is 51843.918 m³ of water.
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An observer (o) spots a plane (p) taking off from a local airport and flying at a 33° angle horizontal to her line of sight and located directly above a tower (t). the observer also notices a bird (b) circling directly above her. if the distance from the plane(p) to the tower (t) is 7,000 feet, how far is the bird (b) from the plane (p)? round to the nearest whole number. two parallel lines bp and ot with a transversal running through p and o. dotted red line from p to t and from b to o. angle pot is 33 degrees. the length of p t is 7000. the length of bp is x. 3,815 feet 5,873 feet 8,343 feet 10,779 feet
The distance between the bird (B) and plane (P) exists at 10,779 feet.
How to estimate the distance between the bird (B) and plane (P)?
Given the figure attached,
PT = OB = 7000 ft
PB = OT = x feet
and angle of elevation (∠POT) = 30°
By applying the Tan rule in the triangle POT,
tan 33° = Opposite side/Adjacent side = PT/OT
tan 33° = 7000/x
x = 7000/tan33°
x = 10779 feet
The distance between the bird (B) and plane (P) exists at 10,779 feet.
Therefore, the correct answer is option D. 10779 feet.
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The selling price, s, of an item is s = c mc, where c is the cost of the item and m is the percent markup based on cost. what is the formula solved for m? m = startfraction s minus c over c endfraction m = startfraction s c over c endfraction s minus c = m s c = m
Answer:
s - c over c = m or (s-c)/c = m
Step-by-step explanation:
s = c * mc
s -c = mc
(s - c) / c = m
Answer:
A ) m=s-c/c
Step-by-step explanation:
pls help or ill fail
BRAINLIST REWARD
1) Adrianna wants to purchase GoodLife membership.When she visits the website, shedecides she wants to purchase a plan that charges $25 per month and has an initial cost of $90.What is the linear equation that represents how much Adrianna has to pay GoodLife
2) Anthony wants to purchase a Disney+ subscription.He visits the website anddecides to sign up for a plan that charges $17 per month. If the plan has no initial cost, what isthe linear equation? How much will he spend after 5 months?
3) :Sebastian wants to purchase a Premium Spotify subscription to listen to musicoffline and without ads. The plan that he chose is $10 per month and costs $15 up front. Write alinear equation to represent the cost. How much will Sebastian spend after 1 year?
Answer:
1) c = 25m + 90
2) c = 17m; $85
3) c = 10m + 15; $135
Step-by-step explanation:
Let m = number of months
1)
c = 25m + 90
2)
c = 17m
For 5 months, m = 5.
c = 17m = 17 × 5 = 85
$85
3)
c = 10m + 15
1 year = 12 months, so m = 12
c = 10m + 15 = 10 × 12 + 15 = 120 + 15 = 135
$135